[{"char_len": 109, "answer_start_char": 98, "answer_char_len": 2, "tokens": [14924, 271, 38299, 10649, 1047, 220, 3076, 41613, 13, 3005, 3952, 389, 220, 845, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 5313, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nAzaria had 69 tomatoes. She took on 16. How many does she have now?\nAnswer\n\nShe now has 85 of them.", "id": 0}, {"char_len": 148, "answer_start_char": 134, "answer_char_len": 5, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 53856, 398, 1047, 220, 16, 10804, 263, 13, 3005, 3779, 220, 9674, 410, 13, 2650, 1690, 10804, 2439, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 9674, 1721, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAshly had 1 melon. She added 18700. How many melons does she have now?\nAnswer: She now has 18701 of them.", "id": 1}, {"char_len": 103, "answer_start_char": 91, "answer_char_len": 3, "tokens": [14924, 198, 64755, 942, 1047, 220, 7322, 10804, 2439, 13, 1283, 3952, 389, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 8027, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nJayson had 115 melons. He took on 1. How many does he have now?\nAnswer\nHe now has 116 of them.", "id": 2}, {"char_len": 188, "answer_start_char": 178, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 2321, 321, 13389, 1047, 220, 17, 41613, 13, 1283, 3952, 389, 220, 18, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 20, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nEmiliano had 2 tomatoes. He took on 3. How many tomatoes does he have now?\nYour response: He has 5 of them.", "id": 3}, {"char_len": 116, "answer_start_char": 106, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 53, 292, 6960, 1047, 220, 16, 4237, 13, 1283, 2751, 220, 10005, 19, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 10005, 20, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nVicente had 1 fig. He got 1754. How many figs does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 1755 figs.", "id": 4}, {"char_len": 108, "answer_start_char": 95, "answer_char_len": 3, "tokens": [334, 48, 96618, 88168, 1047, 220, 21, 41613, 13, 3005, 2751, 220, 12425, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 14206, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Fallon had 6 tomatoes. She got 221 more. How many does she have now?\n**A**: She now has 227 tomatoes.", "id": 5}, {"char_len": 119, "answer_start_char": 107, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 36, 89, 22811, 1047, 220, 19, 14155, 11966, 13, 1283, 3952, 389, 220, 1032, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 1114, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nEzriel had 4 pumpkins. He took on 13. How many does he have now?\n\nResponse:\n\nHe has 17 pumpkins.", "id": 6}, {"char_len": 108, "answer_start_char": 95, "answer_char_len": 2, "tokens": [14924, 25, 10455, 1036, 1047, 220, 868, 75391, 372, 1941, 13, 3005, 18661, 220, 5932, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 4161, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Maryann had 15 cucumbers. She gained 81. How many does she have now?\nAnswer: She has 96 cucumbers.", "id": 7}, {"char_len": 129, "answer_start_char": 116, "answer_char_len": 4, "tokens": [334, 48, 96618, 816, 5169, 1047, 220, 6640, 514, 24483, 13, 3005, 7319, 279, 3392, 555, 220, 19423, 18, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 26234, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Yara had 108 lemons. She increased the amount by 7803. How many lemons does she have now?\n**A**: She now has 7911 of them.", "id": 8}, {"char_len": 110, "answer_start_char": 100, "answer_char_len": 1, "tokens": [334, 14924, 96618, 622, 710, 20960, 1047, 220, 22, 41776, 13, 1283, 2751, 220, 16, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Jaxsyn had 7 apples. He got 1 more. How many does he have now?\n**Answer**: He now has 8 of them.", "id": 9}, {"char_len": 124, "answer_start_char": 106, "answer_char_len": 9, "tokens": [14924, 198, 49, 343, 677, 14200, 1047, 220, 9413, 25168, 5932, 4237, 82, 13, 1283, 2751, 220, 20963, 23493, 5154, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 21098, 24571, 19852, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nRigoberto had 13269181 figs. He got 439583250 more. How many does he have now?\nAnswer\nHe now has 452852431 of them.", "id": 10}, {"char_len": 135, "answer_start_char": 118, "answer_char_len": 8, "tokens": [334, 14924, 96618, 14603, 55267, 1047, 220, 21, 8492, 1924, 13, 3005, 18661, 220, 9748, 22266, 6365, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 9748, 22266, 1484, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Mirabelle had 6 olives. She gained 12964293. How many olives does she have now?\n**Answer**: She now has 12964299 of them.", "id": 11}, {"char_len": 122, "answer_start_char": 110, "answer_char_len": 3, "tokens": [334, 48, 96618, 43089, 1047, 220, 5162, 4237, 82, 13, 1283, 7319, 279, 3392, 555, 220, 16, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 4468, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Sullivan had 196 figs. He increased the amount by 1 more. How many does he have now?\n**A**: He now has 197 of them.", "id": 12}, {"char_len": 152, "answer_start_char": 141, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 697, 88, 598, 71, 1047, 220, 1958, 76203, 13, 1283, 3952, 389, 220, 19, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 1987, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nReyansh had 34 strawberries. He took on 4. How many strawberries does he have now?\nAnswer: He has 38 of them.", "id": 13}, {"char_len": 115, "answer_start_char": 98, "answer_char_len": 6, "tokens": [48, 25, 98991, 88, 1047, 220, 11242, 25724, 19151, 64805, 13, 3005, 3779, 220, 17, 810, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 11242, 22869, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Malky had 177853 eggplants. She added 2 more. How many eggplants does she have now?\nA: She has 177855 eggplants.", "id": 14}, {"char_len": 127, "answer_start_char": 118, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 43, 321, 1494, 1047, 220, 17, 11012, 13, 3005, 3952, 389, 220, 16, 810, 13, 2650, 1690, 11012, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 18, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLilah had 2 plants. She took on 1 more. How many plants does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 3 plants.", "id": 15}, {"char_len": 115, "answer_start_char": 101, "answer_char_len": 5, "tokens": [48, 25, 58628, 942, 1047, 220, 22, 85138, 13, 1283, 7319, 279, 3392, 555, 220, 22049, 1644, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 22049, 1272, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Tayson had 7 oranges. He increased the amount by 56833 more. How many does he have now?\nA: He has 56840 of them.", "id": 16}, {"char_len": 169, "answer_start_char": 143, "answer_char_len": 19, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 56, 1003, 1047, 220, 13302, 4643, 281, 7596, 13, 1283, 18661, 220, 25238, 12405, 15537, 24487, 8848, 24110, 23, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 25238, 12405, 15537, 24487, 11702, 13837, 22, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nYash had 21879 pears. He gained 8953012599162108928 more. How many does he have now?\nAnswer: He has 8953012599162130807 pears.", "id": 17}, {"char_len": 126, "answer_start_char": 114, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 41, 1604, 301, 1047, 220, 972, 75391, 372, 1941, 13, 1283, 18661, 220, 4278, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 4364, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nJaleel had 18 cucumbers. He gained 102 more. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 120 of them.", "id": 18}, {"char_len": 109, "answer_start_char": 98, "answer_char_len": 2, "tokens": [14924, 271, 2321, 5730, 648, 1047, 220, 17, 85138, 13, 3005, 2751, 220, 845, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 972, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nEmmarie had 2 oranges. She got 16 more. How many does she have now?\nAnswer\n\nShe now has 18 of them.", "id": 19}, {"char_len": 141, "answer_start_char": 130, "answer_char_len": 5, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 51844, 1047, 220, 21, 4237, 82, 13, 1283, 2751, 220, 9423, 2304, 810, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 9423, 806, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nJosh had 6 figs. He got 13305 more. How many figs does he have now?\nAnswer: He now has 13311 figs.", "id": 20}, {"char_len": 113, "answer_start_char": 99, "answer_char_len": 4, "tokens": [14924, 25, 362, 1764, 6198, 1047, 220, 16, 50625, 13, 1283, 18661, 220, 23592, 17, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 23592, 18, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Amauri had 1 pumpkin. He gained 7782. How many pumpkins does he have now?\nAnswer: He has 7783 pumpkins.", "id": 21}, {"char_len": 131, "answer_start_char": 117, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 57, 6198, 301, 1047, 220, 9378, 19151, 64805, 13, 1283, 18661, 220, 24491, 6028, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 23467, 1399, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nZuriel had 189 eggplants. He gained 66371 more. How many does he have now?\n\nResponse:\n\nHe has 66560 of them.", "id": 22}, {"char_len": 114, "answer_start_char": 101, "answer_char_len": 4, "tokens": [14924, 25, 8388, 404, 1494, 1047, 220, 9263, 15, 10804, 2439, 13, 3005, 3952, 389, 220, 16, 13, 2650, 1690, 10804, 2439, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 9263, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Samirah had 1310 melons. She took on 1. How many melons does she have now?\nAnswer: She has 1311 of them.", "id": 23}, {"char_len": 119, "answer_start_char": 103, "answer_char_len": 6, "tokens": [14924, 271, 38, 54756, 774, 1047, 220, 22, 8330, 14380, 13, 3005, 2751, 220, 11209, 10465, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 11209, 9800, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nGwyneth had 7 squashes. She got 280146. How many squashes does she have now?\nAnswer\n\nShe has 280153 squashes.", "id": 24}, {"char_len": 118, "answer_start_char": 98, "answer_char_len": 3, "tokens": [14924, 25, 20704, 1047, 220, 8546, 9863, 315, 5684, 13, 1283, 18661, 220, 1490, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 4468, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Winter had 117 pieces of paper. He gained 80. How many does he have now?\nAnswer: He has 197 pieces of paper.", "id": 25}, {"char_len": 200, "answer_start_char": 188, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 34, 34315, 1047, 220, 11057, 85138, 13, 3005, 7319, 279, 3392, 555, 220, 9423, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 17112, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nCedar had 225 oranges. She increased the amount by 133. How many does she have now?\nYour response: She has 358 of them.", "id": 26}, {"char_len": 97, "answer_start_char": 85, "answer_char_len": 3, "tokens": [48, 25, 816, 2836, 301, 1047, 220, 21164, 281, 7596, 13, 1283, 3779, 220, 8273, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 25504, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Yadiel had 513 pears. He added 240 more. How many does he have now?\nA: He now has 753 of them.", "id": 27}, {"char_len": 136, "answer_start_char": 123, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 33731, 1047, 220, 20, 8330, 14380, 13, 1283, 18661, 220, 4513, 810, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 4386, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nJack had 5 squashes. He gained 123 more. How many squashes does he have now?\n\nResponse:\n\nHe now has 128 squashes.", "id": 28}, {"char_len": 161, "answer_start_char": 149, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 83489, 1047, 220, 21, 14155, 11966, 13, 1283, 7319, 279, 3392, 555, 220, 18349, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 18509, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAustin had 6 pumpkins. He increased the amount by 356. How many pumpkins does he have now?\nAnswer: He has 362 of them.", "id": 29}, {"char_len": 140, "answer_start_char": 125, "answer_char_len": 5, "tokens": [14924, 271, 97750, 1047, 220, 508, 14155, 11966, 13, 3005, 7319, 279, 3392, 555, 220, 21133, 2166, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 21133, 2614, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nJamie had 20 pumpkins. She increased the amount by 97048. How many pumpkins does she have now?\nAnswer\n\nShe now has 97068 pumpkins.", "id": 30}, {"char_len": 133, "answer_start_char": 108, "answer_char_len": 8, "tokens": [334, 48, 96618, 23286, 2428, 1047, 220, 23, 9863, 315, 5684, 13, 3005, 18661, 220, 6640, 24870, 3076, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 6640, 24870, 2813, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Dominique had 8 pieces of paper. She gained 10887669. How many does she have now?\n**A**: She now has 10887677 pieces of paper.", "id": 31}, {"char_len": 119, "answer_start_char": 104, "answer_char_len": 6, "tokens": [334, 48, 96618, 51983, 1047, 220, 5120, 85138, 13, 1283, 2751, 220, 3101, 21851, 810, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 3101, 24239, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Calvin had 110 oranges. He got 300519 more. How many oranges does he have now?\n**A**: He now has 300629 oranges.", "id": 32}, {"char_len": 138, "answer_start_char": 119, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 21902, 16271, 1047, 220, 16, 6710, 315, 5684, 13, 1283, 2751, 220, 24, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 605, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nTerrence had 1 piece of paper. He got 9 more. How many does he have now?\n\nResponse:\n\nHe now has 10 pieces of paper.", "id": 33}, {"char_len": 201, "answer_start_char": 186, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 21718, 1047, 220, 25169, 17, 75391, 372, 1941, 13, 3005, 18661, 220, 12245, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 20873, 18, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "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\nPromise had 6982 cucumbers. She gained 231. How many cucumbers does she have now?\nYour response: She has 7213 cucumbers.", "id": 34}, {"char_len": 170, "answer_start_char": 160, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 53773, 1466, 1047, 220, 17, 272, 533, 72, 13, 1283, 2751, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "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\nDarren had 2 cacti. He got 2. How many does he have now?\nYour response: He has 4 of them.", "id": 35}, {"char_len": 127, "answer_start_char": 114, "answer_char_len": 4, "tokens": [14924, 271, 38, 34893, 1047, 220, 843, 10804, 2439, 13, 3005, 7319, 279, 3392, 555, 220, 11256, 16, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 10562, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nGemma had 32 melons. She increased the amount by 1781 more. How many does she have now?\nAnswer\n\nShe has 1813 of them.", "id": 36}, {"char_len": 115, "answer_start_char": 103, "answer_char_len": 4, "tokens": [14924, 25, 3279, 3458, 1047, 220, 22593, 15, 11012, 13, 3005, 18661, 220, 2096, 810, 13, 2650, 1690, 11012, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 17252, 19, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Edna had 5260 plants. She gained 44 more. How many plants does she have now?\nAnswer: She has 5304 plants.", "id": 37}, {"char_len": 159, "answer_start_char": 136, "answer_char_len": 14, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 3561, 276, 1047, 220, 7743, 23267, 8610, 18061, 2946, 75391, 372, 1941, 13, 3005, 2751, 220, 3965, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 7743, 23267, 8610, 19746, 2545, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nRegan had 10977322034659 cucumbers. She got 150. How many does she have now?\nAnswer: She has 10977322034809 of them.", "id": 38}, {"char_len": 119, "answer_start_char": 103, "answer_char_len": 6, "tokens": [334, 14924, 96618, 1630, 352, 5294, 1047, 220, 11068, 15726, 8330, 14380, 13, 1283, 2751, 220, 2721, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 11068, 19770, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Xayden had 159323 squashes. He got 95. How many does he have now?\n**Answer**: He now has 159418 squashes.", "id": 39}, {"char_len": 103, "answer_start_char": 91, "answer_char_len": 4, "tokens": [14924, 198, 78218, 770, 1047, 220, 1227, 10804, 2439, 13, 1283, 2751, 220, 24472, 24, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 21893, 18, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nKyree had 64 melons. He got 7749. How many melons does he have now?\nAnswer\nHe has 7813 melons.", "id": 40}, {"char_len": 118, "answer_start_char": 105, "answer_char_len": 4, "tokens": [334, 14924, 96618, 31858, 1047, 220, 1591, 41776, 13, 1283, 2751, 220, 11068, 21, 13, 2650, 1690, 41776, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 10674, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Barry had 28 apples. He got 1596. How many apples does he have now?\n**Answer**: He now has 1624 of them.", "id": 41}, {"char_len": 101, "answer_start_char": 90, "answer_char_len": 2, "tokens": [14924, 25, 33107, 1047, 220, 20, 514, 24483, 13, 1283, 3779, 220, 21, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 806, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Harper had 5 lemons. He added 6 more. How many does he have now?\nAnswer: He has 11 of them.", "id": 42}, {"char_len": 100, "answer_start_char": 89, "answer_char_len": 2, "tokens": [14924, 271, 6219, 269, 1047, 220, 4331, 85138, 13, 1283, 3779, 220, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 2946, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nAmor had 53 oranges. He added 6. How many does he have now?\nAnswer\n\nHe now has 59 of them.", "id": 43}, {"char_len": 184, "answer_start_char": 172, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 29185, 12699, 1047, 220, 6028, 41613, 13, 3005, 2751, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 5332, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "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\nJuliana had 71 tomatoes. She got 1. How many does she have now?\nYour response: She now has 72 tomatoes.", "id": 44}, {"char_len": 112, "answer_start_char": 101, "answer_char_len": 2, "tokens": [14924, 198, 626, 830, 276, 1047, 220, 868, 41613, 13, 1283, 3952, 389, 220, 18, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 972, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nStefan had 15 tomatoes. He took on 3. How many tomatoes does he have now?\nAnswer\nHe now has 18 of them.", "id": 45}, {"char_len": 208, "answer_start_char": 193, "answer_char_len": 6, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 32, 462, 2444, 398, 1047, 220, 6889, 272, 533, 72, 13, 3005, 7319, 279, 3392, 555, 220, 16590, 23459, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 16590, 13135, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "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\nArianelly had 103 cacti. She increased the amount by 274699. How many does she have now?\nYour response: She has 274802 of them.", "id": 46}, {"char_len": 112, "answer_start_char": 100, "answer_char_len": 3, "tokens": [334, 48, 96618, 56625, 321, 13389, 1047, 220, 24199, 63494, 13, 1283, 3952, 389, 220, 19, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 10943, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Maximiliano had 662 berries. He took on 4 more. How many does he have now?\n**A**: He now has 666 of them.", "id": 47}, {"char_len": 124, "answer_start_char": 109, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 16939, 321, 1494, 1047, 220, 8899, 1691, 8330, 14380, 13, 3005, 2751, 220, 19956, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 9892, 1721, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDelilah had 11821 squashes. She got 4480. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 16301 squashes.", "id": 48}, {"char_len": 115, "answer_start_char": 103, "answer_char_len": 3, "tokens": [48, 25, 55757, 300, 1047, 220, 9714, 14155, 11966, 13, 1283, 7319, 279, 3392, 555, 220, 19, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 7028, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Lukas had 186 pumpkins. He increased the amount by 4 more. How many does he have now?\nA: He now has 190 of them.", "id": 49}, {"char_len": 105, "answer_start_char": 90, "answer_char_len": 1, "tokens": [334, 48, 96618, 3383, 43518, 1047, 220, 20, 76203, 13, 3005, 3779, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 22, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Amarah had 5 strawberries. She added 2. How many does she have now?\n**A**: She has 7 strawberries.", "id": 50}, {"char_len": 118, "answer_start_char": 103, "answer_char_len": 6, "tokens": [14924, 271, 44, 34992, 6388, 1047, 220, 22895, 26439, 514, 24483, 13, 3005, 2751, 220, 8259, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 22895, 25339, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nMargarita had 558759 lemons. She got 122. How many lemons does she have now?\nAnswer\n\nShe has 558881 of them.", "id": 51}, {"char_len": 109, "answer_start_char": 98, "answer_char_len": 2, "tokens": [14924, 25, 386, 10011, 318, 1047, 220, 4370, 10804, 2439, 13, 1283, 3779, 220, 16, 810, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 2131, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Maksim had 54 melons. He added 1 more. How many melons does he have now?\nAnswer: He has 55 of them.", "id": 52}, {"char_len": 99, "answer_start_char": 87, "answer_char_len": 3, "tokens": [334, 48, 96618, 25234, 5241, 1047, 220, 3101, 14155, 11966, 13, 1283, 3952, 389, 220, 6028, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 18650, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Lenox had 300 pumpkins. He took on 71. How many does he have now?\n**A**: He has 371 of them.", "id": 53}, {"char_len": 112, "answer_start_char": 100, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 45, 3742, 1047, 220, 1591, 2911, 13, 1283, 3779, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 1682, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nNiles had 28 children. He added 1. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 29 children.", "id": 54}, {"char_len": 104, "answer_start_char": 92, "answer_char_len": 2, "tokens": [334, 48, 96618, 60470, 1047, 220, 18, 8330, 14380, 13, 3005, 3952, 389, 220, 3971, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 4370, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Chloe had 3 squashes. She took on 51. How many does she have now?\n**A**: She now has 54 squashes.", "id": 55}, {"char_len": 139, "answer_start_char": 125, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 20175, 22082, 1047, 220, 16, 50625, 13, 3005, 2751, 220, 10828, 21, 810, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 10828, 22, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAutumn had 1 pumpkin. She got 1826 more. How many pumpkins does she have now?\n\nResponse:\n\nShe now has 1827 pumpkins.", "id": 56}, {"char_len": 164, "answer_start_char": 153, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 5953, 1729, 1047, 220, 5958, 8330, 14380, 13, 3005, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 5728, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAbby had 73 squashes. She increased the amount by 1. How many squashes does she have now?\nAnswer: She now has 74 of them.", "id": 57}, {"char_len": 124, "answer_start_char": 108, "answer_char_len": 4, "tokens": [334, 48, 96618, 386, 1923, 648, 1047, 220, 10513, 20, 34697, 680, 645, 13, 3005, 3779, 220, 1032, 810, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 10680, 23, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Marnie had 1645 pineapples. She added 13 more. How many pineapples does she have now?\n**A**: She has 1658 pineapples.", "id": 58}, {"char_len": 107, "answer_start_char": 97, "answer_char_len": 1, "tokens": [334, 48, 96618, 73224, 774, 1047, 220, 17, 85138, 13, 3005, 2751, 220, 19, 810, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Julieth had 2 oranges. She got 4 more. How many oranges does she have now?\n**A**: She has 6 of them.", "id": 59}, {"char_len": 114, "answer_start_char": 101, "answer_char_len": 1, "tokens": [14924, 271, 32, 261, 411, 1047, 220, 16, 78182, 13, 3005, 18661, 220, 17, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 18, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nAerith had 1 pineapple. She gained 2 more. How many does she have now?\nAnswer\n\nShe now has 3 pineapples.", "id": 60}, {"char_len": 134, "answer_start_char": 121, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 37, 6258, 1122, 1047, 220, 4364, 20, 281, 7596, 13, 1283, 18661, 220, 16, 810, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 4364, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nFinnian had 1205 pears. He gained 1 more. How many pears does he have now?\n\nResponse:\n\nHe now has 1206 of them.", "id": 61}, {"char_len": 149, "answer_start_char": 133, "answer_char_len": 7, "tokens": [334, 14924, 96618, 26775, 1617, 1047, 220, 9263, 11256, 24, 85138, 13, 1283, 7319, 279, 3392, 555, 220, 19391, 2545, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 8878, 19929, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Ryatt had 1311789 oranges. He increased the amount by 41909. How many oranges does he have now?\n**Answer**: He now has 1353698 of them.", "id": 62}, {"char_len": 139, "answer_start_char": 130, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 44, 20782, 1047, 220, 20, 8492, 1924, 13, 1283, 7319, 279, 3392, 555, 220, 19, 810, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 24, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMelo had 5 olives. He increased the amount by 4 more. How many olives does he have now?\n\nResponse:\n\nHe has 9 olives.", "id": 63}, {"char_len": 120, "answer_start_char": 106, "answer_char_len": 5, "tokens": [334, 48, 96618, 4410, 258, 1047, 220, 21299, 1114, 41613, 13, 1283, 3779, 220, 1419, 810, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 21299, 1272, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Westin had 43617 tomatoes. He added 23 more. How many tomatoes does he have now?\n**A**: He now has 43640 of them.", "id": 64}, {"char_len": 125, "answer_start_char": 114, "answer_char_len": 3, "tokens": [334, 14924, 96618, 5767, 3258, 1047, 220, 20, 11012, 13, 3005, 3779, 220, 24599, 810, 13, 2650, 1690, 11012, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 15862, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Finley had 5 plants. She added 945 more. How many plants does she have now?\n**Answer**: She now has 950 plants.", "id": 65}, {"char_len": 115, "answer_start_char": 103, "answer_char_len": 3, "tokens": [14924, 271, 88115, 2259, 1047, 220, 12112, 272, 533, 72, 13, 3005, 2751, 220, 3971, 810, 13, 2650, 1690, 272, 533, 72, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 15999, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nKalina had 215 cacti. She got 51 more. How many cacti does she have now?\nAnswer\n\nShe now has 266 of them.", "id": 66}, {"char_len": 131, "answer_start_char": 119, "answer_char_len": 3, "tokens": [334, 14924, 96618, 1283, 64123, 19870, 1047, 220, 20, 34697, 680, 645, 13, 1283, 3952, 389, 220, 19230, 810, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 19081, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Hezekiah had 5 pineapples. He took on 383 more. How many pineapples does he have now?\n**Answer**: He has 388 of them.", "id": 67}, {"char_len": 180, "answer_start_char": 173, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33, 8135, 3258, 1047, 220, 18, 47136, 13, 1283, 18661, 220, 16, 13, 2650, 1690, 47136, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 19, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "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\nBrentley had 3 peas. He gained 1. How many peas does he have now?\nYour response: He now has 4 peas.", "id": 68}, {"char_len": 114, "answer_start_char": 104, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 2782, 12440, 1047, 220, 966, 11012, 13, 1283, 18661, 220, 16, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 2148, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nEdgar had 30 plants. He gained 1 more. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 31 plants.", "id": 69}, {"char_len": 132, "answer_start_char": 120, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 38, 1122, 7063, 385, 1047, 220, 16, 30564, 13, 1283, 7319, 279, 3392, 555, 220, 13762, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 8610, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nGiancarlo had 1 lemon. He increased the amount by 219. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 220 of them.", "id": 70}, {"char_len": 130, "answer_start_char": 119, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 39, 2852, 64069, 1047, 220, 5926, 19, 5157, 13, 3005, 3779, 220, 18322, 23, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 23642, 17, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nHaisleigh had 1924 cases. She added 3768. How many cases does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 5692 cases.", "id": 71}, {"char_len": 129, "answer_start_char": 114, "answer_char_len": 3, "tokens": [14924, 25, 800, 295, 942, 1047, 220, 24495, 34697, 680, 645, 13, 1283, 7319, 279, 3392, 555, 220, 19, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 22266, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Stetson had 638 pineapples. He increased the amount by 4. How many does he have now?\nAnswer: He now has 642 pineapples.", "id": 72}, {"char_len": 111, "answer_start_char": 99, "answer_char_len": 2, "tokens": [14924, 25, 29549, 5676, 1047, 220, 1114, 2911, 13, 3005, 3952, 389, 220, 2166, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 2397, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Kamani had 17 children. She took on 48 more. How many does she have now?\nAnswer: She has 65 children.", "id": 73}, {"char_len": 143, "answer_start_char": 132, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 16589, 458, 64, 1047, 220, 2721, 11012, 13, 3005, 7319, 279, 3392, 555, 220, 23, 810, 13, 2650, 1690, 11012, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 6889, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nNailea had 95 plants. She increased the amount by 8 more. How many plants does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 103 plants.", "id": 74}, {"char_len": 142, "answer_start_char": 124, "answer_char_len": 9, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 33, 31559, 1047, 220, 17153, 19355, 19104, 85138, 13, 1283, 2751, 220, 5547, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 17153, 19355, 23282, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nBodi had 334864760 oranges. He got 61. How many does he have now?\nAnswer: He has 334864821 oranges.", "id": 75}, {"char_len": 206, "answer_start_char": 192, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42584, 309, 1047, 220, 18, 75391, 372, 1941, 13, 3005, 3952, 389, 220, 11256, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 10562, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "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\nMaryam had 3 cucumbers. She took on 178 more. How many cucumbers does she have now?\nYour response: She now has 181 cucumbers.", "id": 76}, {"char_len": 114, "answer_start_char": 98, "answer_char_len": 3, "tokens": [14924, 271, 42, 17137, 5676, 1047, 220, 17, 52252, 1658, 12059, 13, 3005, 2751, 220, 15602, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 15666, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nKahlani had 2 grapefruits. She got 261. How many does she have now?\nAnswer\n\nShe now has 263 grapefruits.", "id": 77}, {"char_len": 199, "answer_start_char": 186, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 6600, 582, 92609, 1047, 220, 21884, 15, 8492, 1924, 13, 3005, 18661, 220, 10290, 24, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 22385, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "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\nGracelyn had 4830 olives. She gained 1439. How many olives does she have now?\nYour response: She now has 6269 of them.", "id": 78}, {"char_len": 150, "answer_start_char": 136, "answer_char_len": 6, "tokens": [16533, 279, 2768, 1473, 49, 31936, 1047, 220, 2550, 23409, 514, 24483, 13, 1283, 7319, 279, 3392, 555, 220, 17, 810, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 2550, 21598, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nRamon had 199651 lemons. He increased the amount by 2 more. How many lemons does he have now?\n\nResponse:\n\nHe has 199653 lemons.", "id": 79}, {"char_len": 111, "answer_start_char": 94, "answer_char_len": 8, "tokens": [14924, 271, 57, 1631, 404, 1047, 220, 19, 281, 7596, 13, 1283, 2751, 220, 9423, 8011, 1774, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 9423, 8011, 2491, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nZymir had 4 pears. He got 13311445. How many pears does he have now?\nAnswer\n\nHe has 13311449 of them.", "id": 80}, {"char_len": 143, "answer_start_char": 125, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 8921, 689, 1047, 220, 16, 73700, 13, 3005, 18661, 220, 23776, 19, 810, 13, 2650, 1690, 76203, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 23776, 20, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLaia had 1 strawberry. She gained 7574 more. How many strawberries does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 7575 strawberries.", "id": 81}, {"char_len": 114, "answer_start_char": 99, "answer_char_len": 6, "tokens": [14924, 25, 42216, 1047, 220, 14870, 18775, 52252, 1658, 12059, 13, 1283, 3779, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 14870, 19929, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Palmer had 444367 grapefruits. He added 2. How many does he have now?\nAnswer: He now has 444369 of them.", "id": 82}, {"char_len": 139, "answer_start_char": 121, "answer_char_len": 9, "tokens": [12885, 53528, 15425, 64755, 12490, 1047, 220, 20304, 41776, 13, 1283, 3952, 389, 220, 23624, 10731, 23038, 13, 2650, 1690, 41776, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 23624, 11531, 17168, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nJaylon had 468 apples. He took on 772011826. How many apples does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 772012294 of them.", "id": 83}, {"char_len": 121, "answer_start_char": 112, "answer_char_len": 1, "tokens": [14924, 25, 2758, 285, 1910, 1047, 220, 19, 10804, 2439, 13, 3005, 7319, 279, 3392, 555, 220, 16, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 20, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Addisyn had 4 melons. She increased the amount by 1 more. How many does she have now?\nAnswer: She has 5 melons.", "id": 84}, {"char_len": 109, "answer_start_char": 99, "answer_char_len": 2, "tokens": [334, 14924, 96618, 1283, 64123, 19870, 1047, 220, 16, 24149, 13, 1283, 3779, 220, 1591, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 1682, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Hezekiah had 1 apple. He added 28. How many does he have now?\n**Answer**: He now has 29 apples.", "id": 85}, {"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, 6971, 52676, 1047, 220, 3076, 41613, 13, 3005, 2751, 220, 22507, 19, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 21177, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "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\nBracha had 69 tomatoes. She got 5174. How many tomatoes does she have now?\nYour response: She now has 5243 of them.", "id": 86}, {"char_len": 128, "answer_start_char": 114, "answer_char_len": 1, "tokens": [14924, 271, 13379, 79, 5049, 1047, 220, 16, 52252, 36698, 13, 1283, 3952, 389, 220, 16, 810, 13, 2650, 1690, 52252, 1658, 12059, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 17, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nJohnpaul had 1 grapefruit. He took on 1 more. How many grapefruits does he have now?\nAnswer\n\nHe now has 2 grapefruits.", "id": 87}, {"char_len": 128, "answer_start_char": 117, "answer_char_len": 3, "tokens": [334, 14924, 96618, 32595, 13327, 1047, 220, 24, 8492, 1924, 13, 1283, 7319, 279, 3392, 555, 220, 3534, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 7461, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Haziel had 9 olives. He increased the amount by 97 more. How many does he have now?\n**Answer**: He has 106 olives.", "id": 88}, {"char_len": 122, "answer_start_char": 111, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 56, 437, 33830, 1047, 220, 972, 85138, 13, 3005, 3952, 389, 220, 1032, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 2148, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nYoselin had 18 oranges. She took on 13. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 31 oranges.", "id": 89}, {"char_len": 145, "answer_start_char": 128, "answer_char_len": 5, "tokens": [14924, 198, 51, 27349, 1047, 220, 8546, 1544, 34697, 680, 645, 13, 1283, 7319, 279, 3392, 555, 220, 16, 810, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 8546, 1591, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nTatum had 11727 pineapples. He increased the amount by 1 more. How many pineapples does he have now?\nAnswer\nHe now has 11728 pineapples.", "id": 90}, {"char_len": 129, "answer_start_char": 115, "answer_char_len": 5, "tokens": [14924, 25, 6706, 989, 1047, 220, 2550, 5728, 2911, 13, 3005, 18661, 220, 19697, 17, 810, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 13719, 1627, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Keely had 19974 children. She gained 4452 more. How many children does she have now?\nAnswer: She now has 24426 of them.", "id": 91}, {"char_len": 199, "answer_start_char": 184, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 2059, 75, 16279, 1047, 220, 4278, 19, 19151, 64805, 13, 1283, 3952, 389, 220, 8259, 23, 13, 2650, 1690, 19151, 64805, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 11057, 17, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "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\nShlomo had 1024 eggplants. He took on 1228. How many eggplants does he have now?\nYour response: He has 2252 eggplants.", "id": 92}, {"char_len": 99, "answer_start_char": 87, "answer_char_len": 3, "tokens": [48, 25, 8560, 587, 6151, 1047, 220, 4364, 9863, 315, 5684, 13, 1283, 2751, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 4513, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Malakhi had 120 pieces of paper. He got 3. How many does he have now?\nA: He now has 123 of them.", "id": 93}, {"char_len": 99, "answer_start_char": 83, "answer_char_len": 7, "tokens": [48, 25, 31074, 404, 1047, 220, 19355, 10828, 18, 19151, 64805, 13, 1283, 18661, 220, 717, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 19355, 10750, 20, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Namir had 8641823 eggplants. He gained 12. How many does he have now?\nA: He has 8641835 of them.", "id": 94}, {"char_len": 148, "answer_start_char": 137, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 43, 1910, 8669, 1047, 220, 4103, 19151, 64805, 13, 3005, 3952, 389, 220, 16, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 4331, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nLynlee had 52 eggplants. She took on 1. How many eggplants does she have now?\nAnswer: She has 53 of them.", "id": 95}, {"char_len": 130, "answer_start_char": 111, "answer_char_len": 11, "tokens": [14924, 25, 4448, 16618, 1494, 1047, 220, 24394, 26026, 10804, 2439, 13, 3005, 3779, 220, 4364, 13104, 24938, 6028, 13, 2650, 1690, 10804, 2439, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 4364, 23486, 20775, 3534, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Janiyah had 695926 melons. She added 12072067371. How many melons does she have now?\nAnswer: She has 12072763297 melons.", "id": 96}, {"char_len": 139, "answer_start_char": 126, "answer_char_len": 2, "tokens": [14924, 271, 35, 60278, 1047, 220, 1987, 75391, 372, 1941, 13, 1283, 7319, 279, 3392, 555, 220, 16, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 2137, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDavian had 38 cucumbers. He increased the amount by 1 more. How many cucumbers does he have now?\nAnswer\n\nHe now has 39 cucumbers.", "id": 97}, {"char_len": 108, "answer_start_char": 100, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 44, 8788, 1047, 220, 21, 47136, 13, 3005, 18661, 220, 1032, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 777, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "addition", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nMolly had 6 peas. She gained 13. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 19 peas.", "id": 98}, {"char_len": 207, "answer_start_char": 195, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 45, 6198, 1047, 220, 10914, 272, 533, 72, 13, 3005, 7319, 279, 3392, 555, 220, 1927, 810, 13, 2650, 1690, 272, 533, 72, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 12879, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "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\nNuri had 270 cacti. She increased the amount by 36 more. How many cacti does she have now?\nYour response: She has 306 of them.", "id": 99}, {"char_len": 147, "answer_start_char": 134, "answer_char_len": 4, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 49, 37578, 1047, 220, 1691, 9863, 315, 5684, 13, 1283, 33356, 291, 220, 25498, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 482, 24531, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nRylan had 21 pieces of paper. He subtracted 814. How many does he have now?\nAnswer: He has -793 of them.", "id": 100}, {"char_len": 103, "answer_start_char": 89, "answer_char_len": 5, "tokens": [14924, 25, 469, 3714, 1047, 220, 21, 10804, 2439, 13, 1283, 5675, 220, 21969, 20, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 482, 21598, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Eros had 6 melons. He lost 6545. How many does he have now?\nAnswer: He now has -6539 of them.", "id": 101}, {"char_len": 131, "answer_start_char": 120, "answer_char_len": 2, "tokens": [14924, 25, 58201, 3427, 1047, 220, 508, 9863, 315, 5684, 13, 1283, 2163, 4920, 220, 16, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 777, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Viggo had 20 pieces of paper. He left behind 1. How many pieces of paper does he have now?\nAnswer: He now has 19 of them.", "id": 102}, {"char_len": 191, "answer_start_char": 181, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 86799, 18499, 1047, 220, 18, 34697, 680, 645, 13, 3005, 33356, 291, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nRiverlyn had 3 pineapples. She subtracted 1. How many does she have now?\nYour response: She now has 2 of them.", "id": 103}, {"char_len": 95, "answer_start_char": 81, "answer_char_len": 5, "tokens": [48, 25, 14937, 261, 1047, 220, 20555, 23, 34697, 680, 645, 13, 1283, 5675, 220, 24438, 24, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 482, 11209, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Asher had 4548 pineapples. He lost 7349. How many does he have now?\nA: He has -2801 of them.", "id": 104}, {"char_len": 141, "answer_start_char": 128, "answer_char_len": 4, "tokens": [14924, 271, 7229, 261, 1047, 220, 22184, 16, 9863, 315, 5684, 13, 1283, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 22184, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nPorter had 4871 pieces of paper. He by happenstance lost 1. How many pieces of paper does he have now?\nAnswer\n\nHe has 4870 of them.", "id": 105}, {"char_len": 118, "answer_start_char": 108, "answer_char_len": 3, "tokens": [14924, 198, 626, 830, 276, 1047, 220, 21, 272, 533, 72, 13, 1283, 555, 3621, 1333, 5675, 220, 5958, 13, 2650, 1690, 272, 533, 72, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 482, 3080, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nStefan had 6 cacti. He by happenstance lost 73. How many cacti does he have now?\nAnswer\nHe now has -67 cacti.", "id": 106}, {"char_len": 125, "answer_start_char": 112, "answer_char_len": 4, "tokens": [14924, 198, 100144, 3258, 1047, 220, 5162, 514, 24483, 13, 3005, 555, 3621, 1333, 5675, 220, 20417, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 482, 19944, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nHazley had 196 lemons. She by happenstance lost 804. How many lemons does she have now?\nAnswer\nShe has -608 of them.", "id": 107}, {"char_len": 136, "answer_start_char": 119, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 70054, 4341, 1047, 220, 10562, 76203, 13, 3005, 2163, 4920, 220, 914, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 10132, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nLitzy had 181 strawberries. She left behind 25. How many does she have now?\n\nResponse:\n\nShe has 156 strawberries.", "id": 108}, {"char_len": 132, "answer_start_char": 116, "answer_char_len": 6, "tokens": [12885, 53528, 15425, 1951, 15512, 1047, 220, 16371, 2911, 13, 1283, 23415, 3201, 220, 8899, 4370, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 482, 8011, 914, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDecker had 429 children. He handed away 11854. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has -11425 children.", "id": 109}, {"char_len": 139, "answer_start_char": 127, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 32, 275, 3444, 1047, 220, 16, 19151, 21494, 13, 3005, 6688, 3201, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAitana had 1 eggplant. She gave away 1. How many does she have now?\nAnswer: She has 0 eggplants.", "id": 110}, {"char_len": 111, "answer_start_char": 94, "answer_char_len": 4, "tokens": [334, 48, 96618, 29874, 404, 1047, 220, 14185, 23, 52252, 1658, 12059, 13, 1283, 23415, 3201, 220, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 14185, 17, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Nazir had 2488 grapefruits. He handed away 6. How many does he have now?\n**A**: He has 2482 grapefruits.", "id": 111}, {"char_len": 124, "answer_start_char": 112, "answer_char_len": 3, "tokens": [334, 14924, 96618, 16762, 9008, 1047, 220, 1313, 34697, 680, 645, 13, 3005, 5675, 220, 4364, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 482, 3264, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Akira had 22 pineapples. She lost 120. How many pineapples does she have now?\n**Answer**: She has -98 of them.", "id": 112}, {"char_len": 148, "answer_start_char": 126, "answer_char_len": 10, "tokens": [16533, 279, 2768, 1473, 11836, 339, 3557, 1047, 220, 806, 34697, 680, 645, 13, 1283, 33356, 291, 220, 9335, 7028, 9870, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 482, 9335, 7028, 13762, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMatthias had 11 pineapples. He subtracted 141190230. How many does he have now?\n\nResponse:\n\nHe now has -141190219 pineapples.", "id": 113}, {"char_len": 139, "answer_start_char": 128, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 1951, 89010, 1047, 220, 1954, 281, 7596, 13, 1283, 6688, 3201, 220, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 6069, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nDeangelo had 90 pears. He gave away 7. How many does he have now?\nAnswer: He now has 83 of them.", "id": 114}, {"char_len": 131, "answer_start_char": 119, "answer_char_len": 4, "tokens": [334, 14924, 96618, 39687, 8233, 1047, 220, 10898, 15, 11012, 13, 1283, 555, 3621, 1333, 5675, 220, 975, 13, 2650, 1690, 11012, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 12935, 21, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Aubrey had 3770 plants. He by happenstance lost 14. How many plants does he have now?\n**Answer**: He has 3756 plants.", "id": 115}, {"char_len": 148, "answer_start_char": 136, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 2356, 321, 3852, 1047, 220, 26511, 85138, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 26491, 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\nLeilany had 947 oranges. She by happenstance lost 1. How many oranges does she have now?\n\nResponse:\n\nShe now has 946 of them.", "id": 116}, {"char_len": 123, "answer_start_char": 110, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 56568, 3258, 1047, 220, 23409, 20, 41613, 13, 3005, 6688, 3201, 220, 24, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 13655, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nHadley had 6515 tomatoes. She gave away 9. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 6506 of them.", "id": 117}, {"char_len": 126, "answer_start_char": 111, "answer_char_len": 6, "tokens": [14924, 25, 27616, 1047, 220, 7994, 22207, 22, 272, 533, 72, 13, 3005, 2163, 4920, 220, 22054, 16739, 13, 2650, 1690, 272, 533, 72, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 23309, 19697, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Chelsea had 1219877 cacti. She left behind 494432. How many cacti does she have now?\nAnswer: She has 725445 of them.", "id": 118}, {"char_len": 125, "answer_start_char": 111, "answer_char_len": 3, "tokens": [334, 48, 96618, 3383, 88403, 1047, 220, 18509, 75391, 372, 1941, 13, 3005, 33356, 291, 220, 1272, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 15805, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Amethyst had 362 cucumbers. She subtracted 40. How many cucumbers does she have now?\n**A**: She now has 322 cucumbers.", "id": 119}, {"char_len": 134, "answer_start_char": 121, "answer_char_len": 4, "tokens": [334, 14924, 96618, 71782, 1047, 220, 9565, 19, 41613, 13, 1283, 23415, 3201, 220, 7322, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 8259, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Courtney had 1344 tomatoes. He handed away 115. How many tomatoes does he have now?\n**Answer**: He now has 1229 of them.", "id": 120}, {"char_len": 106, "answer_start_char": 95, "answer_char_len": 3, "tokens": [334, 48, 96618, 816, 6015, 1047, 220, 12652, 11012, 13, 3005, 2163, 4920, 220, 1032, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 5162, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Yael had 209 plants. She left behind 13. How many does she have now?\n**A**: She now has 196 plants.", "id": 121}, {"char_len": 200, "answer_start_char": 185, "answer_char_len": 6, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 6719, 3444, 1047, 220, 5495, 281, 7596, 13, 3005, 2163, 4920, 220, 16723, 3264, 13, 2650, 1690, 281, 7596, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 482, 16723, 1758, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "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\nElana had 63 pears. She left behind 32498. How many pears does she have now?\nYour response: She now has -32435 of them.", "id": 122}, {"char_len": 119, "answer_start_char": 109, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 2149, 49363, 1047, 220, 1958, 514, 24483, 13, 3005, 5675, 220, 16, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 1644, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAlisson had 34 lemons. She lost 1. How many lemons does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 33 lemons.", "id": 123}, {"char_len": 192, "answer_start_char": 177, "answer_char_len": 6, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 41, 20089, 1047, 220, 24, 41776, 13, 1283, 33356, 291, 220, 20502, 5932, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 482, 20502, 5332, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJupiter had 9 apples. He subtracted 44281. How many does he have now?\nYour response: He now has -44272 of them.", "id": 124}, {"char_len": 135, "answer_start_char": 123, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 67417, 5294, 1047, 220, 868, 14155, 11966, 13, 3005, 33356, 291, 220, 966, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 482, 868, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nKayden had 15 pumpkins. She subtracted 30. How many pumpkins does she have now?\n\nResponse:\n\nShe has -15 of them.", "id": 125}, {"char_len": 145, "answer_start_char": 132, "answer_char_len": 6, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 7098, 9799, 1047, 220, 18634, 24951, 281, 7596, 13, 1283, 33356, 291, 220, 16, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 18634, 25125, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nArvin had 349848 pears. He subtracted 1. How many pears does he have now?\nAnswer: He has 349847 pears.", "id": 126}, {"char_len": 129, "answer_start_char": 115, "answer_char_len": 4, "tokens": [14924, 25, 8219, 11044, 1047, 220, 16, 50625, 13, 3005, 555, 3621, 1333, 5675, 220, 10132, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 482, 9992, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Sunnie had 1 pumpkin. She by happenstance lost 156. How many pumpkins does she have now?\nAnswer: She has -155 pumpkins.", "id": 127}, {"char_len": 96, "answer_start_char": 84, "answer_char_len": 3, "tokens": [334, 48, 96618, 71800, 1047, 220, 18, 8330, 14380, 13, 1283, 5675, 220, 1691, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 482, 972, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Donovan had 3 squashes. He lost 21. How many does he have now?\n**A**: He has -18 of them.", "id": 128}, {"char_len": 111, "answer_start_char": 97, "answer_char_len": 5, "tokens": [48, 25, 1901, 370, 8747, 301, 1047, 220, 1313, 85138, 13, 1283, 23415, 3201, 220, 9992, 16, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 482, 9756, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Zabdiel had 22 oranges. He handed away 1551. How many oranges does he have now?\nA: He now has -1529 of them.", "id": 129}, {"char_len": 144, "answer_start_char": 131, "answer_char_len": 4, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 38, 9761, 689, 1047, 220, 23582, 22, 514, 24483, 13, 3005, 2163, 4920, 220, 1032, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 25498, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nGloria had 8157 lemons. She left behind 13. How many does she have now?\nAnswer: She has 8144 of them.", "id": 130}, {"char_len": 114, "answer_start_char": 101, "answer_char_len": 4, "tokens": [14924, 198, 33, 587, 2850, 1047, 220, 845, 8492, 1924, 13, 1283, 6688, 3201, 220, 25150, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 482, 19597, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nBakari had 16 olives. He gave away 717. How many olives does he have now?\nAnswer\nHe now has -701 of them.", "id": 131}, {"char_len": 107, "answer_start_char": 94, "answer_char_len": 3, "tokens": [14924, 25, 56943, 1047, 220, 17, 8330, 14380, 13, 1283, 33356, 291, 220, 966, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 482, 1591, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Brendan had 2 squashes. He subtracted 30. How many does he have now?\nAnswer: He has -28 squashes.", "id": 132}, {"char_len": 149, "answer_start_char": 139, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 54049, 462, 3444, 1047, 220, 18, 2911, 13, 3005, 33356, 291, 220, 16, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAudriana had 3 children. She subtracted 1. How many children does she have now?\nAnswer: She has 2 of them.", "id": 133}, {"char_len": 196, "answer_start_char": 184, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 27588, 1677, 648, 1047, 220, 17, 2911, 13, 3005, 33356, 291, 220, 20, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 482, 18, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "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\nHarmonie had 2 children. She subtracted 5. How many children does she have now?\nYour response: She has -3 children.", "id": 134}, {"char_len": 109, "answer_start_char": 96, "answer_char_len": 4, "tokens": [48, 25, 29829, 309, 1047, 220, 975, 4237, 82, 13, 3005, 555, 3621, 1333, 5675, 220, 8027, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 482, 4278, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Mariam had 14 figs. She by happenstance lost 116. How many does she have now?\nA: She now has -102 of them.", "id": 135}, {"char_len": 99, "answer_start_char": 88, "answer_char_len": 2, "tokens": [14924, 198, 52, 10616, 19870, 1047, 220, 18, 52252, 1658, 12059, 13, 1283, 5675, 220, 605, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 482, 22, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nUzziah had 3 grapefruits. He lost 10. How many does he have now?\nAnswer\nHe has -7 of them.", "id": 136}, {"char_len": 107, "answer_start_char": 95, "answer_char_len": 5, "tokens": [14924, 25, 61909, 3444, 301, 1047, 220, 16, 1162, 13, 1283, 23415, 3201, 220, 23986, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 482, 23986, 17, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Nathanael had 1 case. He handed away 7513. How many does he have now?\nAnswer: He has -7512 cases.", "id": 137}, {"char_len": 119, "answer_start_char": 106, "answer_char_len": 4, "tokens": [14924, 25, 16762, 10126, 1047, 220, 16, 73700, 13, 1283, 5675, 220, 21469, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 482, 21949, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Akiva had 1 strawberry. He lost 705. How many strawberries does he have now?\nAnswer: He now has -704 of them.", "id": 138}, {"char_len": 121, "answer_start_char": 112, "answer_char_len": 1, "tokens": [14924, 271, 22427, 7911, 1047, 220, 23, 8492, 1924, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 22, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDiya had 8 olives. She by happenstance lost 1. How many olives does she have now?\nAnswer\n\nShe now has 7 olives.", "id": 139}, {"char_len": 149, "answer_start_char": 132, "answer_char_len": 8, "tokens": [12885, 53528, 15425, 791, 64, 1047, 220, 12533, 22422, 1272, 514, 24483, 13, 3005, 555, 3621, 1333, 5675, 220, 22, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 12533, 22422, 1644, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nThea had 22363640 lemons. She by happenstance lost 7. How many lemons does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 22363633 of them.", "id": 140}, {"char_len": 150, "answer_start_char": 134, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 1163, 288, 3520, 1047, 220, 16, 52252, 36698, 13, 3005, 555, 3621, 1333, 5675, 220, 5495, 13, 2650, 1690, 52252, 1658, 12059, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 482, 5538, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nChesney had 1 grapefruit. She by happenstance lost 63. How many grapefruits does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has -62 grapefruits.", "id": 141}, {"char_len": 128, "answer_start_char": 114, "answer_char_len": 5, "tokens": [14924, 25, 4969, 3258, 1047, 220, 6849, 2304, 52252, 1658, 12059, 13, 3005, 6688, 3201, 220, 18, 13, 2650, 1690, 52252, 1658, 12059, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 6849, 2437, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Charley had 10405 grapefruits. She gave away 3. How many grapefruits does she have now?\nAnswer: She has 10402 of them.", "id": 142}, {"char_len": 136, "answer_start_char": 115, "answer_char_len": 7, "tokens": [334, 14924, 96618, 83666, 1047, 220, 25073, 21360, 20, 76203, 13, 1283, 33356, 291, 220, 1691, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 25073, 18070, 19, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Dillon had 6920275 strawberries. He subtracted 21. How many does he have now?\n**Answer**: He now has 6920254 strawberries.", "id": 143}, {"char_len": 99, "answer_start_char": 88, "answer_char_len": 2, "tokens": [334, 48, 96618, 44847, 6960, 1047, 220, 843, 281, 7596, 13, 1283, 2163, 4920, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 1682, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Vicente had 32 pears. He left behind 3. How many does he have now?\n**A**: He has 29 of them.", "id": 144}, {"char_len": 134, "answer_start_char": 122, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 33, 969, 14466, 1047, 220, 25527, 8330, 14380, 13, 1283, 555, 3621, 1333, 5675, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 23969, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nBraeden had 738 squashes. He by happenstance lost 2. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 736 of them.", "id": 145}, {"char_len": 117, "answer_start_char": 106, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 43, 352, 4355, 1047, 220, 1774, 76203, 13, 3005, 5675, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 2096, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLayla had 45 strawberries. She lost 1. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 44 of them.", "id": 146}, {"char_len": 107, "answer_start_char": 95, "answer_char_len": 2, "tokens": [14924, 198, 2321, 683, 1047, 220, 2946, 8330, 14380, 13, 1283, 2163, 4920, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 3487, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nEmory had 59 squashes. He left behind 3. How many does he have now?\nAnswer\nHe now has 56 squashes.", "id": 147}, {"char_len": 110, "answer_start_char": 103, "answer_char_len": 1, "tokens": [334, 14924, 96618, 43130, 1047, 220, 17, 4237, 82, 13, 1283, 33356, 291, 220, 17, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 15, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Chad had 2 figs. He subtracted 2. How many figs does he have now?\n**Answer**: He now has 0 figs.", "id": 148}, {"char_len": 154, "answer_start_char": 133, "answer_char_len": 12, "tokens": [12885, 53528, 15425, 2654, 71, 5169, 1047, 220, 9795, 18384, 24597, 6726, 14155, 11966, 13, 3005, 2163, 4920, 220, 19, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 9795, 18384, 24989, 19416, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAdhara had 136354952002 pumpkins. She left behind 4. How many pumpkins does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 136354951998 of them.", "id": 149}, {"char_len": 133, "answer_start_char": 114, "answer_char_len": 6, "tokens": [14924, 271, 74209, 3817, 1047, 220, 23477, 7467, 52252, 1658, 12059, 13, 3005, 5675, 220, 6849, 13, 2650, 1690, 52252, 1658, 12059, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 23477, 24832, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nAylin had 566900 grapefruits. She lost 104. How many grapefruits does she have now?\nAnswer\n\nShe now has 566796 grapefruits.", "id": 150}, {"char_len": 107, "answer_start_char": 93, "answer_char_len": 5, "tokens": [14924, 198, 9023, 16833, 1047, 220, 8011, 3264, 14155, 11966, 13, 1283, 6688, 3201, 220, 1399, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 8011, 1987, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nDraco had 11498 pumpkins. He gave away 60. How many does he have now?\nAnswer\nHe has 11438 of them.", "id": 151}, {"char_len": 137, "answer_start_char": 124, "answer_char_len": 4, "tokens": [334, 14924, 96618, 43089, 1047, 220, 1041, 3226, 514, 24483, 13, 3005, 555, 3621, 1333, 5675, 220, 9367, 19, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 25528, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Sullivan had 10057 lemons. She by happenstance lost 1884. How many does she have now?\n**Answer**: She now has 8173 of them.", "id": 152}, {"char_len": 126, "answer_start_char": 111, "answer_char_len": 3, "tokens": [334, 48, 96618, 18366, 27322, 1047, 220, 19, 34697, 680, 645, 13, 3005, 23415, 3201, 220, 1691, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 482, 1114, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Bellamy had 4 pineapples. She handed away 21. How many pineapples does she have now?\n**A**: She now has -17 pineapples.", "id": 153}, {"char_len": 109, "answer_start_char": 99, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 36690, 689, 1047, 220, 17, 41776, 13, 3005, 5675, 220, 18, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 482, 16, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nJunia had 2 apples. She lost 3. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has -1 apples.", "id": 154}, {"char_len": 110, "answer_start_char": 94, "answer_char_len": 8, "tokens": [334, 48, 96618, 64495, 1047, 220, 20800, 1644, 41776, 13, 1283, 6688, 3201, 220, 10148, 21598, 20, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 482, 9423, 5245, 17, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Gavin had 44733 apples. He gave away 1376535. How many does he have now?\n**A**: He has -1331802 apples.", "id": 155}, {"char_len": 132, "answer_start_char": 117, "answer_char_len": 5, "tokens": [14924, 25, 8222, 88, 1047, 220, 20, 2911, 13, 1283, 555, 3621, 1333, 5675, 220, 6550, 18, 13, 2650, 1690, 2911, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 482, 6849, 23, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Korey had 5 children. He by happenstance lost 1053. How many children does he have now?\nAnswer: He now has -1048 children.", "id": 156}, {"char_len": 121, "answer_start_char": 110, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 89685, 1047, 220, 868, 281, 7596, 13, 1283, 23415, 3201, 220, 19, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 806, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nBear had 15 pears. He handed away 4. How many does he have now?\n\nResponse:\n\nHe now has 11 of them.", "id": 157}, {"char_len": 99, "answer_start_char": 88, "answer_char_len": 2, "tokens": [14924, 198, 56, 8733, 1047, 220, 868, 4237, 82, 13, 3005, 33356, 291, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 975, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nYuna had 15 figs. She subtracted 1. How many does she have now?\nAnswer\nShe has 14 of them.", "id": 158}, {"char_len": 118, "answer_start_char": 106, "answer_char_len": 2, "tokens": [14924, 25, 52709, 321, 1047, 220, 3080, 8330, 14380, 13, 1283, 33356, 291, 220, 17, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 2397, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Khalil had 67 squashes. He subtracted 2. How many squashes does he have now?\nAnswer: He now has 65 squashes.", "id": 159}, {"char_len": 114, "answer_start_char": 105, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 70767, 61822, 1047, 220, 17, 47136, 13, 3005, 2163, 4920, 220, 1135, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 482, 2166, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAiyla had 2 peas. She left behind 50. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has -48 peas.", "id": 160}, {"char_len": 97, "answer_start_char": 39, "answer_char_len": 1, "tokens": [14924, 25, 6074, 258, 1047, 220, 17, 41776, 13, 1283, 5675, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 16, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Linkin had 2 apples. He lost 1. How many does he have now?\nAnswer: He now has 1 apples.", "id": 161}, {"char_len": 139, "answer_start_char": 123, "answer_char_len": 6, "tokens": [16533, 279, 2768, 1473, 36, 89, 33607, 1047, 220, 17000, 6280, 14155, 11966, 13, 1283, 23415, 3201, 220, 16, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 17000, 6393, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nEzrah had 911195 pumpkins. He handed away 1. How many pumpkins does he have now?\n\nResponse:\n\nHe has 911194 pumpkins.", "id": 162}, {"char_len": 123, "answer_start_char": 113, "answer_char_len": 1, "tokens": [334, 14924, 96618, 19797, 1122, 1047, 220, 22, 85138, 13, 1283, 555, 3621, 1333, 5675, 220, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 15, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Fabian had 7 oranges. He by happenstance lost 7. How many does he have now?\n**Answer**: He now has 0 oranges.", "id": 163}, {"char_len": 135, "answer_start_char": 116, "answer_char_len": 2, "tokens": [14924, 198, 41, 2482, 1047, 220, 17, 9863, 315, 5684, 13, 3005, 33356, 291, 220, 605, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 482, 23, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nJules had 2 pieces of paper. She subtracted 10. How many pieces of paper does she have now?\nAnswer\nShe has -8 pieces of paper.", "id": 164}, {"char_len": 128, "answer_start_char": 118, "answer_char_len": 1, "tokens": [14924, 198, 93978, 7911, 1047, 220, 16, 6710, 315, 5684, 13, 3005, 33356, 291, 220, 16, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nPriya had 1 piece of paper. She subtracted 1. How many pieces of paper does she have now?\nAnswer\nShe now has 0 of them.", "id": 165}, {"char_len": 117, "answer_start_char": 100, "answer_char_len": 3, "tokens": [14924, 271, 34840, 1047, 220, 22905, 76203, 13, 1283, 6688, 3201, 220, 23, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 23864, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nValor had 589 strawberries. He gave away 8. How many does he have now?\nAnswer\n\nHe now has 581 strawberries.", "id": 166}, {"char_len": 128, "answer_start_char": 118, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 12331, 64069, 1047, 220, 4513, 10804, 2439, 13, 3005, 33356, 291, 220, 5958, 13, 2650, 1690, 10804, 2439, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 1135, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nMarleigh had 123 melons. She subtracted 73. How many melons does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 50 melons.", "id": 167}, {"char_len": 112, "answer_start_char": 98, "answer_char_len": 7, "tokens": [334, 48, 96618, 53425, 77, 1047, 220, 10828, 25354, 21, 272, 533, 72, 13, 3005, 6688, 3201, 220, 5313, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 10828, 25339, 16, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Hollyn had 1828896 cacti. She gave away 85. How many does she have now?\n**A**: She now has 1828811 cacti.", "id": 168}, {"char_len": 139, "answer_start_char": 127, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 34, 4306, 2259, 1047, 220, 17, 10804, 2439, 13, 3005, 5675, 220, 2721, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 482, 6365, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nCatalina had 2 melons. She lost 95. How many does she have now?\nAnswer: She now has -93 of them.", "id": 169}, {"char_len": 133, "answer_start_char": 120, "answer_char_len": 4, "tokens": [334, 48, 96618, 92219, 1047, 220, 11771, 17, 9863, 315, 5684, 13, 1283, 2163, 4920, 220, 605, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 11908, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Sawyer had 1742 pieces of paper. He left behind 10. How many pieces of paper does he have now?\n**A**: He now has 1732 of them.", "id": 170}, {"char_len": 225, "answer_start_char": 204, "answer_char_len": 10, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 5028, 587, 989, 1047, 220, 16085, 17306, 25285, 15, 19151, 64805, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 16085, 17306, 24837, 24, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 58, "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\nBlakely had 2833559660 eggplants. She by happenstance lost 1. How many eggplants does she have now?\nYour response: She has 2833559659 eggplants.", "id": 171}, {"char_len": 111, "answer_start_char": 97, "answer_char_len": 5, "tokens": [334, 14924, 96618, 73227, 1047, 220, 966, 11012, 13, 3005, 5675, 220, 7994, 23, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 482, 8899, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Katy had 30 plants. She lost 1218. How many does she have now?\n**Answer**: She has -1188 of them.", "id": 172}, {"char_len": 113, "answer_start_char": 99, "answer_char_len": 4, "tokens": [48, 25, 95884, 1047, 220, 15966, 41613, 13, 3005, 2163, 4920, 220, 12910, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 482, 9390, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Gwen had 258 tomatoes. She left behind 384. How many tomatoes does she have now?\nA: She now has -126 tomatoes.", "id": 173}, {"char_len": 108, "answer_start_char": 96, "answer_char_len": 5, "tokens": [334, 14924, 96618, 94870, 1047, 220, 20, 281, 7596, 13, 3005, 5675, 220, 22956, 18, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 482, 22266, 23, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Carla had 5 pears. She lost 6433. How many does she have now?\n**Answer**: She has -6428 pears.", "id": 174}, {"char_len": 123, "answer_start_char": 111, "answer_char_len": 3, "tokens": [334, 14924, 96618, 26349, 1047, 220, 15231, 47136, 13, 1283, 555, 3621, 1333, 5675, 220, 845, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 18163, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Alan had 313 peas. He by happenstance lost 16. How many does he have now?\n**Answer**: He now has 297 of them.", "id": 175}, {"char_len": 142, "answer_start_char": 118, "answer_char_len": 7, "tokens": [334, 48, 96618, 22620, 72, 1047, 220, 10148, 19038, 18, 9863, 315, 5684, 13, 3005, 555, 3621, 1333, 5675, 220, 9795, 975, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 9795, 10005, 24, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Stormi had 1375373 pieces of paper. She by happenstance lost 13614. How many does she have now?\n**A**: She has 1361759 pieces of paper.", "id": 176}, {"char_len": 133, "answer_start_char": 122, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 34, 6015, 276, 1047, 220, 17, 281, 7596, 13, 1283, 6688, 3201, 220, 806, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 482, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nCaelan had 2 pears. He gave away 11. How many does he have now?\nAnswer: He has -9 of them.", "id": 177}, {"char_len": 143, "answer_start_char": 132, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 43, 2521, 64, 1047, 220, 20, 14155, 11966, 13, 3005, 23415, 3201, 220, 21, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 482, 16, 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\nLiora had 5 pumpkins. She handed away 6. How many does she have now?\nAnswer: She now has -1 of them.", "id": 178}, {"char_len": 145, "answer_start_char": 132, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 41, 7211, 942, 1047, 220, 19673, 14155, 11966, 13, 1283, 555, 3621, 1333, 5675, 220, 6365, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 19288, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nJettson had 506 pumpkins. He by happenstance lost 93. How many pumpkins does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 413 pumpkins.", "id": 179}, {"char_len": 111, "answer_start_char": 101, "answer_char_len": 1, "tokens": [334, 14924, 96618, 622, 10322, 1047, 220, 717, 8330, 14380, 13, 1283, 33356, 291, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Jagger had 12 squashes. He subtracted 3. How many does he have now?\n**Answer**: He has 9 of them.", "id": 180}, {"char_len": 128, "answer_start_char": 115, "answer_char_len": 5, "tokens": [14924, 198, 38299, 10649, 71, 1047, 220, 16, 24149, 13, 3005, 555, 3621, 1333, 5675, 220, 25828, 22, 13, 2650, 1690, 41776, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 482, 25828, 21, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nAzariah had 1 apple. She by happenstance lost 9187. How many apples does she have now?\nAnswer\nShe now has -9186 apples.", "id": 181}, {"char_len": 116, "answer_start_char": 103, "answer_char_len": 4, "tokens": [334, 14924, 96618, 1708, 783, 1047, 220, 15340, 20, 4237, 82, 13, 1283, 23415, 3201, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 15340, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Alton had 3165 figs. He handed away 1. How many does he have now?\n**Answer**: He now has 3164 of them.", "id": 182}, {"char_len": 126, "answer_start_char": 115, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 6971, 258, 64069, 1047, 220, 19, 514, 24483, 13, 3005, 5675, 220, 972, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 482, 975, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nBrinleigh had 4 lemons. She lost 18. How many lemons does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has -14 lemons.", "id": 183}, {"char_len": 127, "answer_start_char": 115, "answer_char_len": 5, "tokens": [14924, 271, 31516, 28163, 1047, 220, 22, 5157, 13, 3005, 555, 3621, 1333, 5675, 220, 19666, 16, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 482, 20354, 19, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDalett had 7 cases. She by happenstance lost 6051. How many cases does she have now?\nAnswer\n\nShe now has -6044 cases.", "id": 184}, {"char_len": 125, "answer_start_char": 111, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 33, 321, 278, 1047, 220, 19615, 6086, 5157, 13, 1283, 23415, 3201, 220, 966, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 19615, 4103, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nBilal had 39682 cases. He handed away 30. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 39652 of them.", "id": 185}, {"char_len": 146, "answer_start_char": 133, "answer_char_len": 5, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 91808, 1047, 220, 8899, 972, 514, 24483, 13, 1283, 6688, 3201, 220, 17, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 8899, 845, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nJunior had 11818 lemons. He gave away 2. How many lemons does he have now?\nAnswer: He has 11816 lemons.", "id": 186}, {"char_len": 133, "answer_start_char": 115, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 32, 398, 53207, 1047, 220, 8765, 1958, 52252, 1658, 12059, 13, 3005, 5675, 220, 14057, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 16707, 2318, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAlyssa had 33334 grapefruits. She lost 226. How many does she have now?\n\nResponse:\n\nShe has 33108 grapefruits.", "id": 187}, {"char_len": 106, "answer_start_char": 91, "answer_char_len": 4, "tokens": [334, 48, 96618, 1676, 385, 1047, 220, 508, 75391, 372, 1941, 13, 1283, 23415, 3201, 220, 9690, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 482, 9263, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Arlo had 20 cucumbers. He handed away 151. How many does he have now?\n**A**: He has -131 cucumbers.", "id": 188}, {"char_len": 91, "answer_start_char": 80, "answer_char_len": 1, "tokens": [48, 25, 6690, 64, 1047, 220, 23, 41613, 13, 3005, 6688, 3201, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 21, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 30, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Aira had 8 tomatoes. She gave away 2. How many does she have now?\nA: She has 6 tomatoes.", "id": 189}, {"char_len": 125, "answer_start_char": 112, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 51, 1386, 1047, 220, 22303, 17, 14155, 11966, 13, 1283, 2163, 4920, 220, 868, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 21478, 22, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nTuff had 5542 pumpkins. He left behind 15. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 5527 of them.", "id": 190}, {"char_len": 145, "answer_start_char": 126, "answer_char_len": 10, "tokens": [14924, 271, 2244, 24622, 1047, 220, 13860, 19288, 23038, 18, 9863, 315, 5684, 13, 1283, 555, 3621, 1333, 5675, 220, 18136, 13860, 1758, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 14125, 15602, 13384, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nOrlando had 2514138263 pieces of paper. He by happenstance lost 41525135. How many does he have now?\nAnswer\n\nHe has 2472613128 of them.", "id": 191}, {"char_len": 125, "answer_start_char": 111, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 72641, 2428, 1047, 220, 6549, 2946, 4237, 82, 13, 3005, 33356, 291, 220, 19, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 6549, 2131, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDominique had 12559 figs. She subtracted 4. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 12555 of them.", "id": 192}, {"char_len": 124, "answer_start_char": 110, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 30287, 76, 13807, 1047, 220, 16, 30564, 13, 1283, 6688, 3201, 220, 7322, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 482, 7322, 20, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nRaymundo had 1 lemon. He gave away 1156. How many does he have now?\n\nResponse:\n\nHe has -1155 of them.", "id": 193}, {"char_len": 113, "answer_start_char": 102, "answer_char_len": 2, "tokens": [14924, 198, 9219, 45335, 1047, 220, 975, 14155, 11966, 13, 1283, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 1032, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nAgustin had 14 pumpkins. He by happenstance lost 1. How many does he have now?\nAnswer\nHe has 13 of them.", "id": 194}, {"char_len": 201, "answer_start_char": 191, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 47888, 2850, 1047, 220, 21, 14155, 11966, 13, 3005, 555, 3621, 1333, 5675, 220, 17, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "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\nKhari had 6 pumpkins. She by happenstance lost 2. How many pumpkins does she have now?\nYour response: She has 4 of them.", "id": 195}, {"char_len": 111, "answer_start_char": 98, "answer_char_len": 2, "tokens": [14924, 271, 51, 23063, 1047, 220, 966, 75391, 372, 1941, 13, 1283, 5675, 220, 806, 13, 2650, 1690, 75391, 372, 1941, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 777, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nTomas had 30 cucumbers. He lost 11. How many cucumbers does he have now?\nAnswer\n\nHe has 19 cucumbers.", "id": 196}, {"char_len": 112, "answer_start_char": 101, "answer_char_len": 2, "tokens": [14924, 198, 97967, 8458, 1047, 220, 777, 52252, 1658, 12059, 13, 3005, 6688, 3201, 220, 19, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 868, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nMariela had 19 grapefruits. She gave away 4. How many does she have now?\nAnswer\nShe now has 15 of them.", "id": 197}, {"char_len": 119, "answer_start_char": 107, "answer_char_len": 3, "tokens": [14924, 271, 33, 306, 8669, 1047, 220, 1114, 41613, 13, 1283, 6688, 3201, 220, 3080, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 482, 1135, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nBentlee had 17 tomatoes. He gave away 67. How many tomatoes does he have now?\nAnswer\n\nHe now has -50 of them.", "id": 198}, {"char_len": 101, "answer_start_char": 91, "answer_char_len": 4, "tokens": [334, 48, 96618, 35407, 1047, 220, 3971, 47136, 13, 1283, 5675, 220, 24961, 13, 2650, 1690, 47136, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 482, 24347, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "subtraction", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Vincent had 51 peas. He lost 985. How many peas does he have now?\n**A**: He now has -934 peas.", "id": 199}, {"char_len": 230, "answer_start_char": 218, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33103, 1122, 1047, 220, 9639, 20, 514, 24483, 13, 5112, 568, 5675, 220, 5958, 13, 5112, 568, 7319, 279, 3392, 555, 220, 1032, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 4468, 20, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 61, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nDemian had 2035 lemons. Then he lost 73. Then he increased the amount by 13. How many lemons does he have now?\nYour response: He now has 1975 lemons.", "id": 200}, {"char_len": 126, "answer_start_char": 114, "answer_char_len": 3, "tokens": [14924, 25, 735, 7911, 1047, 220, 16, 24149, 13, 3005, 2751, 220, 17, 810, 13, 5112, 1364, 2751, 220, 7028, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 7285, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Kya had 1 apple. She got 2 more. Then she got 190 more. How many does she have now?\nAnswer: She now has 193 of them.", "id": 201}, {"char_len": 156, "answer_start_char": 137, "answer_char_len": 5, "tokens": [334, 48, 96618, 79479, 1047, 220, 1187, 76203, 13, 5112, 1364, 2751, 220, 16, 810, 13, 5112, 1364, 18661, 220, 20749, 1758, 13, 2650, 1690, 76203, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 20749, 1399, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Toby had 24 strawberries. Then she got 1 more. Then she gained 54535. How many strawberries does she have now?\n**A**: She now has 54560 strawberries.", "id": 202}, {"char_len": 133, "answer_start_char": 26, "answer_char_len": 1, "tokens": [334, 14924, 96618, 549, 398, 784, 288, 1047, 220, 975, 19151, 64805, 13, 5112, 568, 33356, 291, 220, 1032, 13, 2650, 1690, 19151, 64805, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Ulysses had 14 eggplants. Then he subtracted 13. How many eggplants does he have now?\n**Answer**: He now has 1 of them.", "id": 203}, {"char_len": 154, "answer_start_char": 57, "answer_char_len": 1, "tokens": [334, 14924, 96618, 452, 12160, 1047, 220, 17, 14155, 11966, 13, 5112, 1364, 2163, 4920, 220, 16, 13, 5112, 1364, 6688, 3201, 220, 15, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 16, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Nelly had 2 pumpkins. Then she left behind 1. Then she gave away 0. How many pumpkins does she have now?\n**Answer**: She now has 1 pumpkins.", "id": 204}, {"char_len": 148, "answer_start_char": 136, "answer_char_len": 3, "tokens": [334, 14924, 96618, 386, 580, 1047, 220, 7261, 18, 11012, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 17408, 13, 1283, 2163, 4920, 220, 18017, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 20555, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Mace had 1123 plants. Then he by happenstance lost 296. He left behind 373. How many does he have now?\n**Answer**: He has 454 of them.", "id": 205}, {"char_len": 144, "answer_start_char": 130, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 34, 352, 451, 1047, 220, 24763, 21, 41613, 13, 5112, 568, 3779, 220, 19, 810, 13, 1283, 2751, 220, 19, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 24531, 19, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nCayde had 7926 tomatoes. Then he added 4 more. He got 4. How many does he have now?\n\nResponse:\n\nHe now has 7934 tomatoes.", "id": 206}, {"char_len": 141, "answer_start_char": 128, "answer_char_len": 4, "tokens": [48, 25, 2947, 10516, 1047, 220, 975, 514, 24483, 13, 5112, 1364, 18661, 220, 10674, 1399, 810, 13, 3005, 2751, 220, 16, 13, 3005, 6688, 3201, 220, 6849, 4370, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 23670, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Marlow had 14 lemons. Then she gained 16260 more. She got 1. She gave away 10454. How many does she have now?\nA: She now has 5821 of them.", "id": 207}, {"char_len": 145, "answer_start_char": 50, "answer_char_len": 1, "tokens": [14924, 25, 1556, 19379, 71, 1047, 220, 18, 19151, 64805, 13, 3005, 33356, 291, 220, 15, 13, 5112, 1364, 23415, 3201, 220, 18, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Analiah had 3 eggplants. She subtracted 0. Then she handed away 3. How many eggplants does she have now?\nAnswer: She now has 0 of them.", "id": 208}, {"char_len": 136, "answer_start_char": 126, "answer_char_len": 1, "tokens": [334, 48, 96618, 2360, 6985, 1047, 220, 19, 11012, 13, 3005, 7319, 279, 3392, 555, 220, 20, 13, 5112, 1364, 5675, 220, 23, 13, 2650, 1690, 11012, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 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": "**Q**: Noella had 4 plants. She increased the amount by 5. Then she lost 8. How many plants does she have now?\n**A**: She has 1 of them.", "id": 209}, {"char_len": 143, "answer_start_char": 54, "answer_char_len": 1, "tokens": [48, 25, 350, 12949, 1047, 220, 16, 50625, 13, 3005, 6688, 3201, 220, 16, 13, 5112, 1364, 5675, 220, 15, 13, 5112, 1364, 23415, 3201, 220, 15, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Tova had 1 pumpkin. She gave away 1. Then she lost 0. Then she handed away 0. How many pumpkins does she have now?\nA: She now has 0 of them.", "id": 210}, {"char_len": 201, "answer_start_char": 188, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 30635, 689, 1047, 220, 24832, 717, 9863, 315, 5684, 13, 3005, 23415, 3201, 220, 10943, 3391, 13, 5112, 1364, 6688, 3201, 220, 20596, 16, 13, 3005, 33356, 291, 220, 14498, 23, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 13506, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 58, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nMaia had 79612 pieces of paper. She handed away 66643. Then she gave away 4381. She subtracted 3088. How many pieces of paper does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 5500 of them.", "id": 211}, {"char_len": 104, "answer_start_char": 93, "answer_char_len": 1, "tokens": [48, 25, 362, 9891, 4317, 1047, 220, 16, 42120, 13, 5112, 1364, 2751, 220, 22, 810, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 23, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Ayesha had 1 tomato. Then she got 7 more. How many tomatoes does she have now?\nA: She has 8 tomatoes.", "id": 212}, {"char_len": 104, "answer_start_char": 95, "answer_char_len": 1, "tokens": [14924, 198, 79525, 1047, 220, 17, 514, 24483, 13, 1283, 3952, 389, 220, 18, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 20, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nRoger had 2 lemons. He took on 3. How many lemons does he have now?\nAnswer\nHe now has 5 lemons.", "id": 213}, {"char_len": 107, "answer_start_char": 93, "answer_char_len": 5, "tokens": [48, 25, 30242, 1047, 220, 18318, 1691, 272, 533, 72, 13, 5112, 568, 18661, 220, 16590, 21, 13, 2650, 1690, 272, 533, 72, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 21033, 3080, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Soul had 43721 cacti. Then he gained 2746. How many cacti does he have now?\nA: He now has 46467 of them.", "id": 214}, {"char_len": 155, "answer_start_char": 140, "answer_char_len": 6, "tokens": [14924, 198, 43, 1570, 3444, 1047, 220, 2137, 281, 7596, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 14205, 24289, 20, 13, 3005, 5675, 220, 2366, 25251, 16, 13, 2650, 1690, 281, 7596, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 20963, 17735, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nLilyana had 39 pears. Then she increased the amount by 2467325. She lost 2027861. How many pears does she have now?\nAnswer\nShe has 439503 of them.", "id": 215}, {"char_len": 129, "answer_start_char": 118, "answer_char_len": 2, "tokens": [14924, 25, 68362, 1047, 220, 1927, 41613, 13, 5112, 568, 7319, 279, 3392, 555, 220, 868, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 3971, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Freddie had 36 tomatoes. Then he increased the amount by 15 more. How many does he have now?\nAnswer: He has 51 of them.", "id": 216}, {"char_len": 120, "answer_start_char": 39, "answer_char_len": 1, "tokens": [48, 25, 74113, 1047, 220, 19, 41613, 13, 5112, 568, 5675, 220, 16, 13, 5112, 568, 6688, 3201, 220, 17, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 16, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Sutton had 4 tomatoes. Then he lost 1. Then he gave away 2. How many tomatoes does he have now?\nA: He has 1 tomatoes.", "id": 217}, {"char_len": 197, "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, 626, 2826, 1047, 220, 5245, 23, 2911, 13, 5112, 1364, 23415, 3201, 220, 9690, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 10680, 22, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nStacy had 1808 children. Then she handed away 151. How many does she have now?\nYour response: She has 1657 children.", "id": 218}, {"char_len": 106, "answer_start_char": 49, "answer_char_len": 1, "tokens": [14924, 25, 43833, 1047, 220, 17, 75391, 372, 1941, 13, 3005, 6688, 3201, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Frances had 2 cucumbers. She gave away 1. How many does she have now?\nAnswer: She has 1 of them.", "id": 219}, {"char_len": 151, "answer_start_char": 69, "answer_char_len": 1, "tokens": [14924, 271, 39, 83921, 1047, 220, 17, 11012, 13, 5112, 568, 6688, 3201, 220, 16, 13, 5112, 568, 6688, 3201, 220, 15, 13, 5112, 568, 23415, 3201, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nHazen had 2 plants. Then he gave away 1. Then he gave away 0. Then he handed away 1. How many does he have now?\nAnswer\n\nHe now has 0 of them.", "id": 220}, {"char_len": 156, "answer_start_char": 146, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 64588, 1047, 220, 6860, 24, 5157, 13, 5112, 568, 2163, 4920, 220, 21251, 13, 1283, 2163, 4920, 220, 3965, 13, 1283, 18661, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 15805, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nOm had 1409 cases. Then he left behind 940. He left behind 150. He gained 3. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 322 cases.", "id": 221}, {"char_len": 159, "answer_start_char": 146, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 10066, 7211, 1047, 220, 16, 78182, 13, 5112, 568, 23415, 3201, 220, 16, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 15, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAvett had 1 pineapple. Then he handed away 1. How many pineapples does he have now?\nAnswer: He now has 0 pineapples.", "id": 222}, {"char_len": 157, "answer_start_char": 145, "answer_char_len": 3, "tokens": [334, 48, 96618, 362, 321, 5676, 1047, 220, 18, 85138, 13, 5112, 1364, 3779, 220, 15282, 13, 5112, 1364, 6688, 3201, 220, 9591, 13, 5112, 1364, 2751, 220, 845, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 9992, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Ailani had 3 oranges. Then she added 281. Then she gave away 145. Then she got 16. How many oranges does she have now?\n**A**: She now has 155 of them.", "id": 223}, {"char_len": 150, "answer_start_char": 136, "answer_char_len": 5, "tokens": [334, 48, 96618, 82936, 1047, 220, 806, 10804, 2439, 13, 3005, 23415, 3201, 220, 605, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 19305, 605, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 19305, 806, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Heidi had 11 melons. She handed away 10. Then she increased the amount by 43510 more. How many does she have now?\n**A**: She has 43511 of them.", "id": 224}, {"char_len": 181, "answer_start_char": 23, "answer_char_len": 1, "tokens": [334, 14924, 96618, 11519, 1047, 220, 914, 76203, 13, 5112, 568, 5675, 220, 18, 13, 1283, 555, 3621, 1333, 5675, 220, 975, 13, 5112, 568, 2163, 4920, 220, 21, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 17, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Mike had 25 strawberries. Then he lost 3. He by happenstance lost 14. Then he left behind 6. How many strawberries does he have now?\n**Answer**: He has 2 strawberries.", "id": 225}, {"char_len": 145, "answer_start_char": 131, "answer_char_len": 4, "tokens": [14924, 198, 84068, 13915, 1047, 220, 11483, 1591, 14155, 11966, 13, 3005, 5675, 220, 5926, 972, 13, 5112, 1364, 6688, 3201, 220, 20866, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 8878, 19, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nKaori had 21128 pumpkins. She lost 19218. Then she gave away 556. How many pumpkins does she have now?\nAnswer\nShe now has 1354 pumpkins.", "id": 226}, {"char_len": 184, "answer_start_char": 174, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 9027, 953, 1047, 220, 18, 10804, 2439, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 16, 13, 1283, 33356, 291, 220, 15, 13, 1283, 6688, 3201, 220, 15, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nCalix had 3 melons. Then he by happenstance lost 1. He subtracted 0. He gave away 0. How many does he have now?\nAnswer: He now has 2 of them.", "id": 227}, {"char_len": 200, "answer_start_char": 55, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 59387, 4852, 1047, 220, 19, 8492, 1924, 13, 5112, 1364, 33356, 291, 220, 18, 13, 3005, 7319, 279, 3392, 555, 220, 16, 810, 13, 3005, 2751, 220, 17, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 55, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nEmerald had 4 olives. Then she subtracted 3. She increased the amount by 1 more. She got 2. How many olives does she have now?\nAnswer: She now has 4 of them.", "id": 228}, {"char_len": 111, "answer_start_char": 103, "answer_char_len": 2, "tokens": [14924, 271, 57, 352, 8669, 1047, 220, 4331, 4237, 82, 13, 5112, 1364, 23415, 3201, 220, 1313, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 2148, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nZaylee had 53 figs. Then she handed away 22. How many does she have now?\nAnswer\n\nShe now has 31 figs.", "id": 229}, {"char_len": 183, "answer_start_char": 171, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 51, 484, 648, 1047, 220, 18770, 63494, 13, 5112, 1364, 2751, 220, 1774, 810, 13, 3005, 2163, 4920, 220, 17837, 13, 3005, 555, 3621, 1333, 5675, 220, 1272, 13, 2650, 1690, 63494, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 17897, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nTillie had 707 berries. Then she got 45 more. She left behind 425. She by happenstance lost 40. How many berries does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 287 berries.", "id": 230}, {"char_len": 117, "answer_start_char": 107, "answer_char_len": 1, "tokens": [14924, 198, 34, 395, 648, 1047, 220, 17, 41613, 13, 5112, 1364, 18661, 220, 19, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nCassie had 2 tomatoes. Then she gained 4. How many tomatoes does she have now?\nAnswer\nShe now has 6 of them.", "id": 231}, {"char_len": 117, "answer_start_char": 108, "answer_char_len": 1, "tokens": [48, 25, 1676, 1677, 72, 1047, 220, 18, 514, 24483, 13, 1283, 2163, 4920, 220, 16, 13, 1283, 23415, 3201, 220, 15, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 17, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Armoni had 3 lemons. He left behind 1. He handed away 0. How many lemons does he have now?\nA: He now has 2 lemons.", "id": 232}, {"char_len": 220, "answer_start_char": 199, "answer_char_len": 12, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 60265, 942, 1047, 220, 17735, 26328, 22276, 26007, 85138, 13, 5112, 568, 18661, 220, 19, 810, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 17735, 26328, 22276, 17272, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nGreyson had 503959635974 oranges. Then he gained 4 more. How many oranges does he have now?\nYour response: He now has 503959635978 oranges.", "id": 233}, {"char_len": 154, "answer_start_char": 144, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 39, 2303, 83, 1047, 220, 17, 41613, 13, 5112, 568, 18661, 220, 16, 810, 13, 5112, 568, 2751, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 20, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nHoyt had 2 tomatoes. Then he gained 1 more. Then he got 2. How many does he have now?\nAnswer: He has 5 of them.", "id": 234}, {"char_len": 105, "answer_start_char": 95, "answer_char_len": 1, "tokens": [14924, 271, 34, 3444, 276, 1047, 220, 16, 59576, 13, 1283, 18661, 220, 16, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nCanaan had 1 squash. He gained 1. How many squashes does he have now?\nAnswer\n\nHe has 2 of them.", "id": 235}, {"char_len": 169, "answer_start_char": 155, "answer_char_len": 4, "tokens": [14924, 271, 55, 275, 75, 8115, 1047, 220, 17887, 23110, 14155, 11966, 13, 3005, 5675, 220, 10568, 19319, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 8610, 13, 3005, 2751, 220, 17, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 26234, 22, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nXitlali had 339036 pumpkins. She lost 330901. Then she by happenstance lost 220. She got 2. How many pumpkins does she have now?\nAnswer\n\nShe has 7917 pumpkins.", "id": 236}, {"char_len": 119, "answer_start_char": 109, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 2059, 75, 16279, 1047, 220, 16, 98763, 13, 1283, 2751, 220, 17, 810, 13, 1283, 5675, 220, 15, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nShlomo had 1 pea. He got 2 more. He lost 0. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 3 of them.", "id": 237}, {"char_len": 121, "answer_start_char": 104, "answer_char_len": 9, "tokens": [14924, 25, 1676, 12874, 1047, 220, 9892, 21729, 24920, 514, 24483, 13, 5112, 1364, 3952, 389, 220, 19988, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 9892, 20775, 16443, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Araya had 163631827 lemons. Then she took on 465. How many does she have now?\nAnswer: She has 163632292 lemons.", "id": 238}, {"char_len": 143, "answer_start_char": 131, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 35725, 13028, 1047, 220, 1544, 34697, 680, 645, 13, 1283, 7319, 279, 3392, 555, 220, 10562, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 12171, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nRenzo had 27 pineapples. He increased the amount by 181 more. How many does he have now?\n\nResponse:\n\nHe has 208 of them.", "id": 239}, {"char_len": 112, "answer_start_char": 102, "answer_char_len": 1, "tokens": [48, 25, 2947, 13389, 1047, 220, 19, 75391, 372, 1941, 13, 1283, 555, 3621, 1333, 5675, 220, 18, 13, 2650, 1690, 75391, 372, 1941, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Mariano had 4 cucumbers. He by happenstance lost 3. How many cucumbers does he have now?\nA: He has 1 of them.", "id": 240}, {"char_len": 150, "answer_start_char": 134, "answer_char_len": 7, "tokens": [14924, 25, 79704, 1047, 220, 19282, 508, 8492, 1924, 13, 1283, 555, 3621, 1333, 5675, 220, 12060, 1627, 13, 5112, 568, 2751, 220, 24876, 19774, 19, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 22908, 15999, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Gian had 56720 olives. He by happenstance lost 20726. Then he got 7716674. How many olives does he have now?\nAnswer: He has 7752668 of them.", "id": 241}, {"char_len": 196, "answer_start_char": 179, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 42, 17137, 321, 1047, 220, 25496, 76203, 13, 5112, 568, 23415, 3201, 220, 20785, 13, 1283, 3779, 220, 22224, 810, 13, 1283, 23415, 3201, 220, 22347, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 16707, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nKahlil had 841 strawberries. Then he handed away 730. He added 906 more. He handed away 686. How many strawberries does he have now?\n\nResponse:\n\nHe now has 331 strawberries.", "id": 242}, {"char_len": 220, "answer_start_char": 205, "answer_char_len": 6, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 30854, 65277, 1047, 220, 20068, 8330, 14380, 13, 1283, 6688, 3201, 220, 5313, 13, 5112, 568, 2751, 220, 15574, 11711, 13, 2650, 1690, 8330, 14380, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 15966, 10861, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 58, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJeziel had 507 squashes. He gave away 85. Then he got 257750. How many squashes does he have now?\nYour response: He now has 258172 of them.", "id": 243}, {"char_len": 140, "answer_start_char": 128, "answer_char_len": 2, "tokens": [14924, 271, 47941, 77383, 1047, 220, 508, 14155, 11966, 13, 1283, 33356, 291, 220, 22, 13, 1283, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 975, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nGiannis had 20 pumpkins. He subtracted 7. He increased the amount by 1. How many does he have now?\nAnswer\n\nHe now has 14 pumpkins.", "id": 244}, {"char_len": 112, "answer_start_char": 101, "answer_char_len": 2, "tokens": [334, 14924, 96618, 6706, 10746, 1047, 220, 777, 272, 533, 72, 13, 5112, 1364, 3779, 220, 3226, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 4767, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Keila had 19 cacti. Then she added 57. How many does she have now?\n**Answer**: She has 76 of them.", "id": 245}, {"char_len": 146, "answer_start_char": 131, "answer_char_len": 2, "tokens": [334, 48, 96618, 6706, 18851, 1047, 220, 1313, 52252, 1658, 12059, 13, 5112, 568, 7319, 279, 3392, 555, 220, 22, 810, 13, 1283, 6688, 3201, 220, 23, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 1691, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Keagan had 22 grapefruits. Then he increased the amount by 7 more. He gave away 8. How many does he have now?\n**A**: He has 21 grapefruits.", "id": 246}, {"char_len": 187, "answer_start_char": 176, "answer_char_len": 2, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 2654, 1604, 68, 1047, 220, 18, 9863, 315, 5684, 13, 5112, 1364, 23415, 3201, 220, 17, 13, 3005, 18661, 220, 4643, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 1490, 315, 1124, 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\nAdalee had 3 pieces of paper. Then she handed away 2. She gained 79. How many pieces of paper does she have now?\nAnswer: She now has 80 of them.", "id": 247}, {"char_len": 126, "answer_start_char": 107, "answer_char_len": 2, "tokens": [14924, 198, 34, 33361, 1047, 220, 17, 9863, 315, 5684, 13, 5112, 568, 3779, 220, 717, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 975, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nCasper had 2 pieces of paper. Then he added 12 more. How many does he have now?\nAnswer\nHe now has 14 pieces of paper.", "id": 248}, {"char_len": 100, "answer_start_char": 90, "answer_char_len": 1, "tokens": [14924, 25, 622, 402, 290, 1047, 220, 24, 5157, 13, 1283, 2163, 4920, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 22, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Javion had 9 cases. He left behind 2. How many does he have now?\nAnswer: He has 7 of them.", "id": 249}, {"char_len": 241, "answer_start_char": 225, "answer_char_len": 7, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 70786, 1047, 220, 806, 52252, 1658, 12059, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 15, 13, 3005, 2751, 220, 18, 13, 3005, 3952, 389, 220, 17711, 18501, 24, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 17711, 12378, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 65, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJustice had 11 grapefruits. Then she by happenstance lost 0. She got 3. She took on 4704079. How many does she have now?\nYour response: She has 4704093 of them.", "id": 250}, {"char_len": 156, "answer_start_char": 143, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 47888, 2836, 98496, 1047, 220, 16, 78182, 13, 3005, 2163, 4920, 220, 16, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nKhadijah had 1 pineapple. She left behind 1. How many pineapples does she have now?\nAnswer: She has 0 pineapples.", "id": 251}, {"char_len": 175, "answer_start_char": 159, "answer_char_len": 7, "tokens": [334, 14924, 96618, 735, 2177, 1047, 220, 17, 10804, 2439, 13, 1283, 7319, 279, 3392, 555, 220, 4364, 20275, 5538, 13, 1283, 3779, 220, 16, 13, 1283, 33356, 291, 220, 26281, 22716, 23, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 13719, 20698, 22, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 55, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Kross had 2 melons. He increased the amount by 12092262. He added 1. He subtracted 9648288. How many melons does he have now?\n**Answer**: He has 2443977 of them.", "id": 252}, {"char_len": 127, "answer_start_char": 114, "answer_char_len": 4, "tokens": [14924, 198, 23307, 20991, 1047, 220, 2137, 8330, 14380, 13, 5112, 1364, 2751, 220, 24054, 15, 13, 3005, 6688, 3201, 220, 21824, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 25178, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nJoanne had 39 squashes. Then she got 7280. She gave away 491. How many does she have now?\nAnswer\nShe has 6828 of them.", "id": 253}, {"char_len": 156, "answer_start_char": 145, "answer_char_len": 3, "tokens": [334, 48, 96618, 362, 7759, 64, 1047, 220, 18, 8492, 1924, 13, 3005, 3779, 220, 11771, 13, 3005, 3779, 220, 5332, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 1691, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 10914, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Aadya had 3 olives. She added 174. She added 72. Then she increased the amount by 21 more. How many does she have now?\n**A**: She now has 270 olives.", "id": 254}, {"char_len": 145, "answer_start_char": 55, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 42, 2852, 3258, 1047, 220, 17, 281, 7596, 13, 5112, 1364, 5675, 220, 15, 13, 2650, 1690, 281, 7596, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nKaisley had 2 pears. Then she lost 0. How many pears does she have now?\nAnswer: She now has 2 of them.", "id": 255}, {"char_len": 179, "answer_start_char": 167, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 47048, 1047, 220, 1806, 10804, 2439, 13, 5112, 568, 3779, 220, 25962, 24, 810, 13, 5112, 568, 2163, 4920, 220, 19642, 18, 13, 1283, 23415, 3201, 220, 12422, 20, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 7743, 23, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 55, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nSky had 37 melons. Then he added 8849 more. Then he left behind 5433. He handed away 2355. How many melons does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 1098 melons.", "id": 256}, {"char_len": 196, "answer_start_char": 183, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 38299, 2850, 1047, 220, 9413, 6365, 76203, 13, 3005, 7319, 279, 3392, 555, 220, 8874, 810, 13, 3005, 2163, 4920, 220, 13719, 15, 13, 3005, 23415, 3201, 220, 9690, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 26491, 22, 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\nAzari had 13293 strawberries. She increased the amount by 124 more. She left behind 2440. She handed away 1510. How many does she have now?\n\nResponse:\n\nShe has 9467 of them.", "id": 257}, {"char_len": 118, "answer_start_char": 111, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 14101, 3141, 276, 1047, 220, 23, 4237, 82, 13, 1283, 33356, 291, 220, 18, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 20, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nEsteban had 8 figs. He subtracted 3. How many figs does he have now?\n\nResponse:\n\nHe has 5 figs.", "id": 258}, {"char_len": 132, "answer_start_char": 119, "answer_char_len": 4, "tokens": [14924, 271, 89734, 9497, 1047, 220, 16, 59576, 13, 3005, 7319, 279, 3392, 555, 220, 8874, 24, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 6549, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nKennedy had 1 squash. She increased the amount by 1249. How many squashes does she have now?\nAnswer\n\nShe has 1250 of them.", "id": 259}, {"char_len": 108, "answer_start_char": 97, "answer_char_len": 2, "tokens": [48, 25, 39253, 1047, 220, 1958, 10804, 2439, 13, 5112, 568, 5675, 220, 717, 13, 1283, 23415, 3201, 220, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 868, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Hudson had 34 melons. Then he lost 12. He handed away 7. How many does he have now?\nA: He has 15 of them.", "id": 260}, {"char_len": 182, "answer_start_char": 173, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 97643, 1047, 220, 11068, 281, 7596, 13, 1283, 6688, 3201, 220, 2075, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 5833, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKnight had 159 pears. He gave away 75. How many does he have now?\nYour response: He now has 84 pears.", "id": 261}, {"char_len": 163, "answer_start_char": 146, "answer_char_len": 6, "tokens": [334, 48, 96618, 2009, 64, 1047, 220, 17, 75391, 372, 1941, 13, 5112, 1364, 33356, 291, 220, 16, 13, 3005, 18661, 220, 11227, 24376, 13, 3005, 23415, 3201, 220, 21209, 5313, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 11247, 25890, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Lea had 2 cucumbers. Then she subtracted 1. She gained 212762. She handed away 45885. How many cucumbers does she have now?\n**A**: She has 166878 cucumbers.", "id": 262}, {"char_len": 154, "answer_start_char": 141, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 56, 57572, 1047, 220, 1627, 11012, 13, 5112, 568, 6688, 3201, 220, 806, 13, 1283, 18661, 220, 11123, 3971, 810, 13, 2650, 1690, 11012, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 11123, 2287, 11012, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nYohan had 26 plants. Then he gave away 11. He gained 17151 more. How many plants does he have now?\n\nResponse:\n\nHe has 17166 plants.", "id": 263}, {"char_len": 134, "answer_start_char": 122, "answer_char_len": 3, "tokens": [334, 14924, 96618, 3623, 10010, 1047, 220, 20618, 4643, 85138, 13, 3005, 6688, 3201, 220, 21618, 2075, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 20354, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Colette had 53579 oranges. She gave away 52975. How many oranges does she have now?\n**Answer**: She now has 604 oranges.", "id": 264}, {"char_len": 142, "answer_start_char": 80, "answer_char_len": 1, "tokens": [14924, 25, 19803, 7521, 8669, 1047, 220, 16, 73700, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 3005, 33356, 291, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Brynnlee had 1 strawberry. She by happenstance lost 1. She subtracted 0. How many does she have now?\nAnswer: She has 0 strawberries.", "id": 265}, {"char_len": 130, "answer_start_char": 119, "answer_char_len": 1, "tokens": [334, 14924, 96618, 1676, 1169, 1047, 220, 16, 42120, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 15, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Arlet had 1 tomato. She by happenstance lost 1. How many tomatoes does she have now?\n**Answer**: She has 0 tomatoes.", "id": 266}, {"char_len": 163, "answer_start_char": 154, "answer_char_len": 2, "tokens": [14924, 25, 8602, 8503, 818, 1047, 220, 18, 5157, 13, 3005, 5675, 220, 18, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 4331, 13, 5112, 1364, 3952, 389, 220, 16, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 4370, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Cheyanne had 3 cases. She lost 3. Then she increased the amount by 53. Then she took on 1 more. How many does she have now?\nAnswer: She now has 54 cases.", "id": 267}, {"char_len": 182, "answer_start_char": 25, "answer_char_len": 1, "tokens": [334, 14924, 96618, 32780, 1047, 220, 1114, 76203, 13, 5112, 568, 33356, 291, 220, 605, 13, 1283, 7319, 279, 3392, 555, 220, 16, 810, 13, 5112, 568, 33356, 291, 220, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Warner had 17 strawberries. Then he subtracted 10. He increased the amount by 1 more. Then he subtracted 7. How many does he have now?\n**Answer**: He now has 1 of them.", "id": 268}, {"char_len": 167, "answer_start_char": 68, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 8161, 11044, 1047, 220, 20, 8330, 14380, 13, 5112, 568, 6688, 3201, 220, 18, 13, 1283, 5675, 220, 16, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 15, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 16, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDonnie had 5 squashes. Then he gave away 3. He lost 1. Then he by happenstance lost 0. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 1 squashes.", "id": 269}, {"char_len": 128, "answer_start_char": 117, "answer_char_len": 3, "tokens": [14924, 25, 423, 6015, 1047, 220, 21944, 514, 24483, 13, 1283, 18661, 220, 1490, 13, 5112, 568, 18661, 220, 972, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 25388, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Dael had 599 lemons. He gained 80. Then he gained 18. How many lemons does he have now?\nAnswer: He now has 697 lemons.", "id": 270}, {"char_len": 176, "answer_start_char": 150, "answer_char_len": 9, "tokens": [334, 14924, 96618, 14569, 28163, 1047, 220, 10290, 27134, 9863, 315, 5684, 13, 5112, 1364, 33356, 291, 220, 16546, 1187, 13, 3005, 18661, 220, 4645, 11030, 25867, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 4645, 7322, 25401, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Dalett had 143967 pieces of paper. Then she subtracted 34124. She gained 101006089. How many does she have now?\n**Answer**: She now has 101115932 pieces of paper.", "id": 271}, {"char_len": 161, "answer_start_char": 150, "answer_char_len": 3, "tokens": [14924, 198, 42, 309, 4618, 1047, 220, 3076, 514, 24483, 13, 5112, 1364, 6688, 3201, 220, 777, 13, 5112, 1364, 18661, 220, 25527, 13, 3005, 33356, 291, 220, 24313, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 6849, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nKamille had 69 lemons. Then she gave away 19. Then she gained 738. She subtracted 684. How many lemons does she have now?\nAnswer\nShe now has 104 lemons.", "id": 272}, {"char_len": 197, "answer_start_char": 181, "answer_char_len": 6, "tokens": [12885, 53528, 15425, 43, 3448, 1047, 220, 1758, 14155, 11966, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 16, 810, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 21962, 17337, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 21962, 20800, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLaken had 35 pumpkins. Then she increased the amount by 1 more. Then she increased the amount by 498411. How many pumpkins does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 498447 pumpkins.", "id": 273}, {"char_len": 142, "answer_start_char": 134, "answer_char_len": 1, "tokens": [14924, 198, 44, 618, 1468, 1047, 220, 1313, 272, 533, 72, 13, 3005, 2163, 4920, 220, 975, 13, 3005, 33356, 291, 220, 20, 13, 3005, 2751, 220, 20, 810, 13, 2650, 1690, 272, 533, 72, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 23, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nMerritt had 22 cacti. She left behind 14. She subtracted 5. She got 5 more. How many cacti does she have now?\nAnswer\nShe has 8 cacti.", "id": 274}, {"char_len": 124, "answer_start_char": 114, "answer_char_len": 4, "tokens": [14924, 25, 735, 20103, 1047, 220, 19746, 22, 47136, 13, 3005, 18661, 220, 14423, 810, 13, 3005, 23415, 3201, 220, 6028, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 18017, 22, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Koa had 3487 peas. She gained 321 more. She handed away 71. How many does she have now?\nAnswer: She has 3737 peas.", "id": 275}, {"char_len": 157, "answer_start_char": 139, "answer_char_len": 4, "tokens": [334, 48, 96618, 32532, 1047, 220, 17313, 22, 76203, 13, 5112, 1364, 5675, 220, 7743, 17, 13, 3005, 3779, 220, 11908, 810, 13, 3005, 2751, 220, 12405, 19, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 17735, 17, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Rachel had 2937 strawberries. Then she lost 1092. She added 173 more. She got 3014 more. How many does she have now?\n**A**: She has 5032 strawberries.", "id": 276}, {"char_len": 130, "answer_start_char": 117, "answer_char_len": 4, "tokens": [48, 25, 44146, 1047, 220, 17, 47136, 13, 5112, 1364, 18661, 220, 508, 13, 5112, 1364, 2751, 220, 18277, 18, 13, 3005, 18661, 220, 20, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 15951, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Logan had 2 peas. Then she gained 20. Then she got 3613. She gained 5. How many does she have now?\nA: She now has 3640 of them.", "id": 277}, {"char_len": 180, "answer_start_char": 170, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 41, 24520, 1955, 1047, 220, 18, 514, 24483, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 15, 13, 3005, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 17, 315, 1124, 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\nJulieta had 3 lemons. Then she by happenstance lost 0. She by happenstance lost 1. How many does she have now?\nAnswer: She has 2 of them.", "id": 278}, {"char_len": 191, "answer_start_char": 174, "answer_char_len": 8, "tokens": [14924, 271, 8921, 554, 75, 1047, 220, 14590, 20, 47136, 13, 3005, 18661, 220, 7028, 25314, 868, 810, 13, 5112, 1364, 2751, 220, 16, 810, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 1399, 810, 13, 2650, 1690, 47136, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 7028, 23282, 3971, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 56, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nLaurel had 2375 peas. She gained 19079715 more. Then she got 1 more. Then she increased the amount by 60 more. How many peas does she have now?\nAnswer\n\nShe now has 19082151 of them.", "id": 279}, {"char_len": 120, "answer_start_char": 110, "answer_char_len": 2, "tokens": [334, 48, 96618, 24298, 1047, 220, 2983, 10804, 2439, 13, 1283, 2163, 4920, 220, 1187, 13, 5112, 568, 2163, 4920, 220, 22, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 806, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Cole had 42 melons. He left behind 24. Then he left behind 7. How many does he have now?\n**A**: He has 11 melons.", "id": 280}, {"char_len": 166, "answer_start_char": 151, "answer_char_len": 5, "tokens": [334, 48, 96618, 100169, 1082, 1047, 220, 7854, 868, 14155, 11966, 13, 3005, 33356, 291, 220, 1041, 1591, 13, 5112, 1364, 2751, 220, 12652, 18, 13, 5112, 1364, 3952, 389, 220, 6804, 914, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 12326, 2304, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Eloise had 20415 pumpkins. She subtracted 10028. Then she got 2093. Then she took on 12725 more. How many does she have now?\n**A**: She now has 25205 pumpkins.", "id": 281}, {"char_len": 142, "answer_start_char": 130, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 24188, 3258, 1047, 220, 5495, 63494, 13, 5112, 568, 3952, 389, 220, 7699, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 8258, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nWestley had 63 berries. Then he took on 107. How many does he have now?\nAnswer: He has 170 of them.", "id": 282}, {"char_len": 186, "answer_start_char": 173, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 39, 723, 648, 1047, 220, 16, 98763, 13, 5112, 1364, 18661, 220, 20, 810, 13, 3005, 2751, 220, 16, 810, 13, 3005, 7319, 279, 3392, 555, 220, 19770, 19, 810, 13, 2650, 1690, 47136, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 19391, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nHaddie had 1 pea. Then she gained 5 more. She got 1 more. She increased the amount by 4184 more. How many peas does she have now?\n\nResponse:\n\nShe has 4191 of them.", "id": 283}, {"char_len": 152, "answer_start_char": 142, "answer_char_len": 1, "tokens": [334, 48, 96618, 31015, 1047, 220, 17, 76203, 13, 3005, 33356, 291, 220, 16, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 76203, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Madison had 2 strawberries. She subtracted 1. Then she by happenstance lost 1. How many strawberries does she have now?\n**A**: She has 0 of them.", "id": 284}, {"char_len": 243, "answer_start_char": 233, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42, 543, 648, 1047, 220, 23, 19151, 64805, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 22, 13, 3005, 18661, 220, 16, 13, 5112, 1364, 3952, 389, 220, 19, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 65, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKallie had 8 eggplants. Then she by happenstance lost 7. She gained 1. Then she took on 4. How many eggplants does she have now?\nYour response: She has 6 of them.", "id": 285}, {"char_len": 151, "answer_start_char": 139, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 96056, 1169, 1047, 220, 17, 19151, 64805, 13, 5112, 1364, 5675, 220, 17, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nScarlet had 2 eggplants. Then she lost 2. How many eggplants does she have now?\nAnswer: She has 0 eggplants.", "id": 286}, {"char_len": 128, "answer_start_char": 22, "answer_char_len": 2, "tokens": [14924, 271, 41, 7211, 942, 1047, 220, 1591, 8330, 14380, 13, 1283, 33356, 291, 220, 23, 13, 1283, 3952, 389, 220, 23, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 1591, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nJettson had 28 squashes. He subtracted 8. He took on 8 more. How many does he have now?\nAnswer\n\nHe now has 28 of them.", "id": 287}, {"char_len": 161, "answer_start_char": 148, "answer_char_len": 4, "tokens": [14924, 271, 42, 91712, 1047, 220, 2636, 63494, 13, 5112, 568, 2163, 4920, 220, 20325, 13, 5112, 568, 2751, 220, 20, 810, 13, 1283, 2751, 220, 19838, 15, 810, 13, 2650, 1690, 63494, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 13074, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nKameron had 500 berries. Then he left behind 455. Then he got 5 more. He got 3980 more. How many berries does he have now?\nAnswer\n\nHe has 4030 of them.", "id": 288}, {"char_len": 135, "answer_start_char": 117, "answer_char_len": 4, "tokens": [334, 48, 96618, 60574, 1047, 220, 1041, 18, 76203, 13, 5112, 568, 3779, 220, 19, 810, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 1041, 22, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Conway had 1003 strawberries. Then he added 4 more. How many strawberries does he have now?\n**A**: He now has 1007 strawberries.", "id": 289}, {"char_len": 145, "answer_start_char": 133, "answer_char_len": 3, "tokens": [14924, 271, 6600, 25471, 8458, 1047, 220, 8899, 34697, 680, 645, 13, 3005, 3779, 220, 18048, 810, 13, 5112, 1364, 5675, 220, 12245, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 19631, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nGraciela had 118 pineapples. She added 504 more. Then she lost 231. How many pineapples does she have now?\nAnswer\n\nShe has 391 of them.", "id": 290}, {"char_len": 107, "answer_start_char": 97, "answer_char_len": 1, "tokens": [48, 25, 63306, 1047, 220, 18, 75391, 372, 1941, 13, 3005, 23415, 3201, 220, 18, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Symphony had 3 cucumbers. She handed away 3. How many cucumbers does she have now?\nA: She has 0 of them.", "id": 291}, {"char_len": 156, "answer_start_char": 63, "answer_char_len": 1, "tokens": [14924, 271, 95394, 6853, 1047, 220, 16, 10804, 263, 13, 5112, 1364, 5675, 220, 16, 13, 3005, 6688, 3201, 220, 15, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 15, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDanielle had 1 melon. Then she lost 1. She gave away 0. Then she by happenstance lost 0. How many does she have now?\nAnswer\n\nShe now has 0 melons.", "id": 292}, {"char_len": 260, "answer_start_char": 242, "answer_char_len": 8, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 50, 1366, 9008, 1047, 220, 9716, 24376, 18642, 8330, 14380, 13, 5112, 1364, 3952, 389, 220, 1049, 17, 810, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 9674, 23439, 9892, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 18349, 25828, 5547, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 68, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nSaphira had 222762022 squashes. Then she took on 2002 more. Then she by happenstance lost 187072163. How many squashes does she have now?\nYour response: She has 35691861 squashes.", "id": 293}, {"char_len": 183, "answer_start_char": 173, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33103, 1122, 1047, 220, 18, 10804, 2439, 13, 1283, 2163, 4920, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nDemian had 3 melons. He left behind 1. How many does he have now?\nYour response: He now has 2 of them.", "id": 294}, {"char_len": 208, "answer_start_char": 195, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 22427, 7911, 1047, 220, 25828, 34697, 680, 645, 13, 3005, 6688, 3201, 220, 16780, 13, 3005, 2751, 220, 22638, 22, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 24375, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 56, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nDiya had 918 pineapples. She gave away 295. She got 6147 more. How many does she have now?\nYour response: She has 6770 of them.", "id": 295}, {"char_len": 241, "answer_start_char": 227, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 1548, 43686, 1047, 220, 3487, 41613, 13, 5112, 1364, 2751, 220, 19, 13, 5112, 1364, 6688, 3201, 220, 23, 13, 3005, 7319, 279, 3392, 555, 220, 22744, 23, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 20873, 15, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 62, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nHeidy had 56 tomatoes. Then she got 4. Then she gave away 8. She increased the amount by 7158. How many does she have now?\nYour response: She has 7210 tomatoes.", "id": 296}, {"char_len": 185, "answer_start_char": 172, "answer_char_len": 1, "tokens": [334, 14924, 96618, 4072, 783, 1047, 220, 17, 34697, 680, 645, 13, 5112, 568, 2163, 4920, 220, 17, 13, 5112, 568, 3779, 220, 16, 810, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 706, 220, 15, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 56, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Elton had 2 pineapples. Then he left behind 2. Then he added 1 more. Then he by happenstance lost 1. How many pineapples does he have now?\n**Answer**: He has 0 pineapples.", "id": 297}, {"char_len": 175, "answer_start_char": 161, "answer_char_len": 6, "tokens": [14924, 25, 2493, 91361, 1047, 220, 17, 514, 24483, 13, 5112, 568, 23415, 3201, 220, 15, 13, 1283, 18661, 220, 22593, 23986, 810, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 12060, 14261, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 16874, 18415, 514, 24483, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Clifton had 2 lemons. Then he handed away 0. He gained 526751 more. Then he by happenstance lost 207228. How many does he have now?\nAnswer: He now has 319525 lemons.", "id": 298}, {"char_len": 169, "answer_start_char": 153, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 44, 3448, 64, 1047, 220, 16443, 15, 34697, 680, 645, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 8259, 21, 13, 2650, 1690, 34697, 680, 645, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 17448, 21, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMakena had 2920 pineapples. Then she increased the amount by 1226. How many pineapples does she have now?\n\nResponse:\n\nShe now has 4146 pineapples.", "id": 299}, {"char_len": 178, "answer_start_char": 169, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 40775, 1047, 220, 845, 281, 7596, 13, 1283, 3779, 220, 17, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 972, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nLegend had 16 pears. He added 2. How many pears does he have now?\nYour response: He has 18 pears.", "id": 300}, {"char_len": 130, "answer_start_char": 120, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 28205, 46291, 1047, 220, 16, 73700, 13, 5112, 1364, 6688, 3201, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nPatricia had 1 strawberry. Then she gave away 1. How many does she have now?\n\nResponse:\n\nShe has 0 of them.", "id": 301}, {"char_len": 184, "answer_start_char": 90, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 44, 11755, 1047, 220, 16, 73700, 13, 3005, 23415, 3201, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nMika had 1 strawberry. She handed away 0. How many does she have now?\nYour response: She has 1 of them.", "id": 302}, {"char_len": 151, "answer_start_char": 140, "answer_char_len": 4, "tokens": [14924, 25, 79464, 1047, 220, 21129, 23, 5157, 13, 1283, 23415, 3201, 220, 13302, 16, 13, 5112, 568, 18661, 220, 17, 810, 13, 5112, 568, 3952, 389, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 21209, 15, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Huck had 6758 cases. He handed away 2181. Then he gained 2 more. Then he took on 1. How many does he have now?\nAnswer: He now has 4580 cases.", "id": 303}, {"char_len": 104, "answer_start_char": 45, "answer_char_len": 1, "tokens": [14924, 271, 53773, 35291, 1047, 220, 17, 272, 533, 72, 13, 3005, 6688, 3201, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 16, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDarlene had 2 cacti. She gave away 1. How many does she have now?\nAnswer\n\nShe now has 1 cacti.", "id": 304}, {"char_len": 165, "answer_start_char": 157, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 2321, 23621, 1910, 1047, 220, 914, 47136, 13, 5112, 1364, 6688, 3201, 220, 17, 13, 5112, 1364, 3779, 220, 605, 810, 13, 3005, 6688, 3201, 220, 1114, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 845, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nEmmersyn had 25 peas. Then she gave away 2. Then she added 10 more. She gave away 17. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 16 peas.", "id": 305}, {"char_len": 117, "answer_start_char": 109, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 50461, 21042, 1047, 220, 20, 5157, 13, 5112, 568, 5675, 220, 19, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 16, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nHenrik had 5 cases. Then he lost 4. How many does he have now?\n\nResponse:\n\nHe now has 1 cases.", "id": 306}, {"char_len": 211, "answer_start_char": 195, "answer_char_len": 7, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 51, 56182, 1047, 220, 1313, 8330, 14380, 13, 5112, 1364, 23415, 3201, 220, 21, 13, 5112, 1364, 18661, 220, 22488, 26013, 2721, 810, 13, 3005, 5675, 220, 18216, 20899, 1691, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 14487, 24734, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 58, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nTiffany had 22 squashes. Then she handed away 6. Then she gained 62186795 more. She lost 58080321. How many squashes does she have now?\nAnswer: She has 4106490 of them.", "id": 307}, {"char_len": 107, "answer_start_char": 93, "answer_char_len": 5, "tokens": [48, 25, 473, 16046, 1047, 220, 9992, 22, 19151, 64805, 13, 3005, 3952, 389, 220, 25358, 868, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 21893, 5332, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Hellen had 1557 eggplants. She took on 76615 more. How many does she have now?\nA: She has 78172 of them.", "id": 308}, {"char_len": 132, "answer_start_char": 124, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 2170, 318, 1047, 220, 16, 272, 62059, 13, 5112, 568, 18661, 220, 605, 13, 1283, 5675, 220, 20, 13, 2650, 1690, 272, 533, 72, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 21, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAsim had 1 cactus. Then he gained 10. He lost 5. How many cacti does he have now?\n\nResponse:\n\nHe has 6 cacti.", "id": 309}, {"char_len": 121, "answer_start_char": 107, "answer_char_len": 5, "tokens": [48, 25, 2947, 65, 6985, 1047, 220, 8899, 21511, 4237, 82, 13, 5112, 1364, 5675, 220, 22642, 4578, 13, 3005, 3779, 220, 16, 13, 2650, 1690, 4237, 82, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 19038, 3264, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Marbella had 118486 figs. Then she lost 64689. She added 1. How many figs does she have now?\nA: She has 53798 of them.", "id": 310}, {"char_len": 214, "answer_start_char": 199, "answer_char_len": 5, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42, 91587, 1047, 220, 20, 41613, 13, 1283, 2751, 220, 11515, 2545, 810, 13, 1283, 3952, 389, 220, 2983, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 11515, 3487, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 55, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKacen had 5 tomatoes. He got 16709 more. He took on 42. How many tomatoes does he have now?\nYour response: He now has 16756 tomatoes.", "id": 311}, {"char_len": 172, "answer_start_char": 160, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 47, 710, 783, 1047, 220, 17168, 10804, 2439, 13, 3005, 555, 3621, 1333, 5675, 220, 777, 13, 3005, 555, 3621, 1333, 5675, 220, 10718, 13, 2650, 1690, 10804, 2439, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 8011, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nPaxton had 294 melons. She by happenstance lost 19. She by happenstance lost 161. How many melons does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 114 of them.", "id": 312}, {"char_len": 117, "answer_start_char": 105, "answer_char_len": 3, "tokens": [14924, 271, 64706, 398, 7521, 1047, 220, 9591, 2911, 13, 5112, 1364, 2163, 4920, 220, 21, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 10125, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 33, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nParklynn had 145 children. Then she left behind 6. How many does she have now?\nAnswer\n\nShe has 139 of them.", "id": 313}, {"char_len": 176, "answer_start_char": 93, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 14101, 34142, 1047, 220, 16, 73700, 13, 3005, 33356, 291, 220, 16, 13, 3005, 555, 3621, 1333, 5675, 220, 15, 13, 2650, 1690, 76203, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 15, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nEstrella had 1 strawberry. She subtracted 1. She by happenstance lost 0. How many strawberries does she have now?\n\nResponse:\n\nShe now has 0 strawberries.", "id": 314}, {"char_len": 220, "answer_start_char": 208, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33763, 1494, 1047, 220, 17, 14155, 11966, 13, 5112, 1364, 3952, 389, 220, 1958, 13, 3005, 2163, 4920, 220, 508, 13, 2650, 1690, 14155, 11966, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 845, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 57, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nNorah had 2 pumpkins. Then she took on 34. She left behind 20. How many pumpkins does she have now?\nYour response: She now has 16 pumpkins.", "id": 315}, {"char_len": 162, "answer_start_char": 152, "answer_char_len": 1, "tokens": [14924, 25, 83421, 1047, 220, 17, 4237, 82, 13, 5112, 1364, 33356, 291, 220, 16, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 16, 13, 5112, 1364, 5675, 220, 17, 13, 2650, 1690, 4237, 82, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Rory had 2 figs. Then she subtracted 1. Then she increased the amount by 1. Then she lost 2. How many figs does she have now?\nAnswer: She has 0 of them.", "id": 316}, {"char_len": 150, "answer_start_char": 90, "answer_char_len": 1, "tokens": [334, 48, 96618, 44637, 3416, 1047, 220, 4370, 41613, 13, 3005, 3952, 389, 220, 17, 810, 13, 5112, 1364, 2751, 220, 17, 810, 13, 3005, 33356, 291, 220, 2491, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Maddison had 54 tomatoes. She took on 2 more. Then she got 2 more. She subtracted 49. How many does she have now?\n**A**: She now has 9 of them.", "id": 317}, {"char_len": 133, "answer_start_char": 117, "answer_char_len": 5, "tokens": [334, 14924, 96618, 1630, 548, 7907, 1047, 220, 4103, 75391, 372, 1941, 13, 5112, 1364, 2751, 220, 22694, 3076, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 19416, 1691, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Xareni had 52 cucumbers. Then she got 99769. How many cucumbers does she have now?\n**Answer**: She has 99821 cucumbers.", "id": 318}, {"char_len": 137, "answer_start_char": 76, "answer_char_len": 1, "tokens": [14924, 271, 54, 288, 3258, 1047, 220, 17, 4237, 82, 13, 1283, 555, 3621, 1333, 5675, 220, 15, 13, 5112, 568, 23415, 3201, 220, 16, 13, 2650, 1690, 4237, 82, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 16, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nWesley had 2 figs. He by happenstance lost 0. Then he handed away 1. How many figs does he have now?\nAnswer\n\nHe now has 1 figs.", "id": 319}, {"char_len": 225, "answer_start_char": 215, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 20175, 22082, 1047, 220, 5926, 19, 281, 7596, 13, 3005, 555, 3621, 1333, 5675, 220, 22529, 13, 5112, 1364, 6688, 3201, 220, 23181, 13, 2650, 1690, 281, 7596, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 23459, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 59, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAutumn had 1924 pears. She by happenstance lost 573. Then she gave away 652. How many pears does she have now?\nYour response: She has 699 pears.", "id": 320}, {"char_len": 154, "answer_start_char": 136, "answer_char_len": 5, "tokens": [14924, 25, 52776, 1047, 220, 20, 52252, 1658, 12059, 13, 5112, 568, 33356, 291, 220, 15, 13, 1283, 3779, 220, 17, 13, 5112, 568, 2751, 220, 17837, 717, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 17837, 777, 52252, 1658, 12059, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Harley had 5 grapefruits. Then he subtracted 0. He added 2. Then he got 42512 more. How many does he have now?\nAnswer: He has 42519 grapefruits.", "id": 321}, {"char_len": 204, "answer_start_char": 189, "answer_char_len": 6, "tokens": [12885, 53528, 15425, 49, 307, 3258, 1047, 220, 24, 9863, 315, 5684, 13, 5112, 568, 7319, 279, 3392, 555, 220, 14498, 7994, 23, 810, 13, 1283, 23415, 3201, 220, 8899, 2550, 22, 13, 1283, 2163, 4920, 220, 6550, 18625, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 24344, 8899, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 60, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nRidley had 9 pieces of paper. Then he increased the amount by 3081218 more. He handed away 1181997. He left behind 1055112. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 844118 of them.", "id": 322}, {"char_len": 121, "answer_start_char": 110, "answer_char_len": 2, "tokens": [334, 48, 96618, 7568, 989, 1047, 220, 4386, 16, 8492, 1924, 13, 5112, 1364, 5675, 220, 9079, 19, 13, 3005, 2751, 220, 16, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 2421, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Angely had 1281 olives. Then she lost 1194. She got 1 more. How many does she have now?\n**A**: She has 88 of them.", "id": 323}, {"char_len": 115, "answer_start_char": 104, "answer_char_len": 2, "tokens": [334, 48, 96618, 26349, 1047, 220, 868, 272, 533, 72, 13, 5112, 568, 18661, 220, 8027, 810, 13, 1283, 5675, 220, 2491, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 6086, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Alan had 15 cacti. Then he gained 116 more. He lost 49. How many does he have now?\n**A**: He has 82 of them.", "id": 324}, {"char_len": 150, "answer_start_char": 79, "answer_char_len": 1, "tokens": [334, 14924, 96618, 507, 65277, 1047, 220, 1987, 85138, 13, 5112, 568, 2163, 4920, 220, 1927, 13, 5112, 568, 33356, 291, 220, 16, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 16, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Oziel had 38 oranges. Then he left behind 36. Then he subtracted 1. How many oranges does he have now?\n**Answer**: He now has 1 oranges.", "id": 325}, {"char_len": 167, "answer_start_char": 156, "answer_char_len": 2, "tokens": [334, 14924, 96618, 36521, 1047, 220, 1114, 9863, 315, 5684, 13, 1283, 7319, 279, 3392, 555, 220, 806, 13, 1283, 2751, 220, 1627, 810, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 4370, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Reed had 17 pieces of paper. He increased the amount by 11. He got 26 more. How many pieces of paper does he have now?\n**Answer**: He now has 54 of them.", "id": 326}, {"char_len": 151, "answer_start_char": 139, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 50, 7911, 556, 1047, 220, 1272, 63494, 13, 1283, 3952, 389, 220, 18136, 20, 13, 1283, 555, 3621, 1333, 5675, 220, 19746, 24, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 22457, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nSyaire had 40 berries. He took on 4155. He by happenstance lost 3489. How many does he have now?\n\nResponse:\n\nHe has 706 berries.", "id": 327}, {"char_len": 212, "answer_start_char": 198, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 17555, 63916, 1047, 220, 14417, 75391, 372, 1941, 13, 5112, 568, 23415, 3201, 220, 6069, 13, 1283, 18661, 220, 16, 13, 1283, 7319, 279, 3392, 555, 220, 17, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 6280, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 58, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAntoine had 275 cucumbers. Then he handed away 83. He gained 1. He increased the amount by 2 more. How many cucumbers does he have now?\nAnswer: He now has 195 cucumbers.", "id": 328}, {"char_len": 133, "answer_start_char": 119, "answer_char_len": 5, "tokens": [14924, 198, 57041, 7876, 1047, 220, 16, 59576, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 24250, 5332, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 24250, 5958, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nHalston had 1 squash. Then she increased the amount by 83872 more. How many does she have now?\nAnswer\nShe has 83873 of them.", "id": 329}, {"char_len": 163, "answer_start_char": 91, "answer_char_len": 4, "tokens": [14924, 25, 1676, 385, 1047, 220, 20, 2911, 13, 5112, 1364, 23415, 3201, 220, 16, 13, 5112, 1364, 33356, 291, 220, 19, 13, 5112, 1364, 2751, 220, 22915, 18, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 22915, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Arlo had 5 children. Then she handed away 1. Then she subtracted 4. Then she got 5783 more. How many does she have now?\nAnswer: She now has 5783 of them.", "id": 330}, {"char_len": 288, "answer_start_char": 266, "answer_char_len": 5, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42, 309, 10649, 1047, 220, 2137, 9863, 315, 5684, 13, 3005, 555, 3621, 1333, 5675, 220, 717, 13, 5112, 1364, 2751, 220, 717, 810, 13, 3005, 7319, 279, 3392, 555, 220, 679, 2075, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 2366, 975, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 72, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKamaria had 39 pieces of paper. She by happenstance lost 12. Then she got 12 more. She increased the amount by 20175. How many pieces of paper does she have now?\nYour response: She has 20214 pieces of paper.", "id": 331}, {"char_len": 149, "answer_start_char": 75, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 10066, 299, 35940, 1047, 220, 16, 86188, 13, 1283, 2163, 4920, 220, 16, 13, 5112, 568, 23415, 3201, 220, 15, 13, 2650, 1690, 63494, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAvrohom had 1 berry. He left behind 1. Then he handed away 0. How many berries does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 0 of them.", "id": 332}, {"char_len": 130, "answer_start_char": 19, "answer_char_len": 1, "tokens": [334, 48, 96618, 15832, 36934, 1047, 220, 16, 73700, 13, 5112, 568, 5675, 220, 16, 13, 1283, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Mustafa had 1 strawberry. Then he lost 1. He increased the amount by 1. How many does he have now?\n**A**: He has 1 of them.", "id": 333}, {"char_len": 117, "answer_start_char": 107, "answer_char_len": 1, "tokens": [334, 48, 96618, 19421, 2629, 1047, 220, 806, 85138, 13, 5112, 1364, 2163, 4920, 220, 18, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 23, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Etta had 11 oranges. Then she left behind 3. How many oranges does she have now?\n**A**: She now has 8 oranges.", "id": 334}, {"char_len": 165, "answer_start_char": 151, "answer_char_len": 5, "tokens": [14924, 198, 46, 3647, 277, 1047, 220, 17, 2911, 13, 5112, 568, 3779, 220, 17048, 5833, 810, 13, 1283, 23415, 3201, 220, 13762, 1806, 13, 1283, 2751, 220, 15189, 21, 810, 13, 2650, 1690, 2911, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 17228, 2304, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nOsmar had 2 children. Then he added 54084 more. He handed away 21937. He got 3156 more. How many children does he have now?\nAnswer\nHe now has 35305 of them.", "id": 335}, {"char_len": 119, "answer_start_char": 107, "answer_char_len": 3, "tokens": [14924, 198, 49, 638, 1047, 220, 17, 41776, 13, 1283, 3779, 220, 717, 13, 1283, 3952, 389, 220, 8190, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 6804, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nRome had 2 apples. He added 12. He took on 113 more. How many does he have now?\nAnswer\nHe now has 127 of them.", "id": 336}, {"char_len": 175, "answer_start_char": 96, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 30635, 92609, 1047, 220, 16, 42120, 13, 3005, 23415, 3201, 220, 16, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 23178, 13, 2650, 1690, 41613, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 23178, 41613, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMaelyn had 1 tomato. She handed away 1. Then she increased the amount by 807. How many tomatoes does she have now?\n\nResponse:\n\nShe now has 807 tomatoes.", "id": 337}, {"char_len": 165, "answer_start_char": 152, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 5176, 352, 783, 1047, 220, 16, 1716, 13, 5112, 568, 7319, 279, 3392, 555, 220, 9565, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 8878, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nClayton had 1 child. Then he increased the amount by 134 more. How many does he have now?\nAnswer: He now has 135 children.", "id": 338}, {"char_len": 163, "answer_start_char": 149, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 40052, 1047, 220, 17272, 514, 24483, 13, 1283, 3952, 389, 220, 16, 13, 1283, 3952, 389, 220, 10967, 2421, 810, 13, 1283, 33356, 291, 220, 15451, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 11068, 2148, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nGeorge had 978 lemons. He took on 1. He took on 17688 more. He subtracted 2736. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 15931 of them.", "id": 339}, {"char_len": 137, "answer_start_char": 64, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 33, 18314, 1047, 220, 5313, 41613, 13, 1283, 2751, 220, 1758, 810, 13, 1283, 5675, 220, 5120, 13, 2650, 1690, 41613, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 605, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nBenny had 85 tomatoes. He got 35 more. He lost 110. How many tomatoes does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 10 of them.", "id": 340}, {"char_len": 122, "answer_start_char": 112, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 36, 54610, 1047, 220, 18, 514, 24483, 13, 1283, 33356, 291, 220, 18, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nEddy had 3 lemons. He subtracted 3. How many lemons does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 0 of them.", "id": 341}, {"char_len": 115, "answer_start_char": 105, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 42, 300, 65812, 1047, 220, 18, 272, 533, 72, 13, 5112, 568, 2751, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKashton had 3 cacti. Then he got 3. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 6 of them.", "id": 342}, {"char_len": 156, "answer_start_char": 81, "answer_char_len": 1, "tokens": [14924, 198, 42, 770, 1047, 220, 16, 6710, 315, 5684, 13, 1283, 33356, 291, 220, 16, 13, 1283, 23415, 3201, 220, 15, 13, 1283, 18661, 220, 17, 810, 13, 2650, 1690, 9863, 315, 5684, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nKree had 1 piece of paper. He subtracted 1. He handed away 0. He gained 2 more. How many pieces of paper does he have now?\nAnswer\nHe has 2 of them.", "id": 343}, {"char_len": 178, "answer_start_char": 159, "answer_char_len": 2, "tokens": [14924, 25, 62443, 26193, 1047, 220, 16, 6710, 315, 5684, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 16, 13, 3005, 2751, 220, 2946, 810, 13, 3005, 2163, 4920, 220, 2790, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 1032, 9863, 315, 5684, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Adrienne had 1 piece of paper. Then she by happenstance lost 1. She got 59 more. She left behind 46. How many does she have now?\nAnswer: She now has 13 pieces of paper.", "id": 344}, {"char_len": 211, "answer_start_char": 199, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 32559, 355, 1047, 220, 19929, 8492, 1924, 13, 5112, 568, 3779, 220, 19, 13, 5112, 568, 2751, 220, 17, 810, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 12935, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 56, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAugustus had 369 olives. Then he added 4. Then he got 2 more. How many olives does he have now?\nYour response: He has 375 of them.", "id": 345}, {"char_len": 129, "answer_start_char": 116, "answer_char_len": 4, "tokens": [14924, 25, 328, 2850, 95780, 1047, 220, 11056, 18, 63494, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 11056, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Sariyah had 2063 berries. Then she increased the amount by 1. How many does she have now?\nAnswer: She has 2064 of them.", "id": 346}, {"char_len": 194, "answer_start_char": 185, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 51787, 1047, 220, 4161, 5157, 13, 3005, 6688, 3201, 220, 18, 13, 3005, 3952, 389, 220, 20, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 3264, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nSummer had 96 cases. She gave away 3. She took on 5. How many does she have now?\nYour response: She has 98 cases.", "id": 347}, {"char_len": 177, "answer_start_char": 160, "answer_char_len": 8, "tokens": [14924, 271, 44, 76039, 1047, 220, 22915, 75391, 372, 1941, 13, 1283, 3952, 389, 220, 17, 810, 13, 5112, 568, 3779, 220, 19697, 22049, 1187, 13, 1283, 7319, 279, 3392, 555, 220, 22, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 19697, 23402, 806, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nMickey had 578 cucumbers. He took on 2 more. Then he added 44556824. He increased the amount by 7 more. How many does he have now?\nAnswer\n\nHe now has 44557411 of them.", "id": 348}, {"char_len": 219, "answer_start_char": 209, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 74209, 36255, 1047, 220, 16, 10804, 263, 13, 1283, 18661, 220, 1682, 13, 1283, 6688, 3201, 220, 868, 13, 5112, 568, 33356, 291, 220, 19, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 806, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 61, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAydan had 1 melon. He gained 29. He gave away 15. Then he subtracted 4. How many melons does he have now?\nYour response: He has 11 melons.", "id": 349}, {"char_len": 122, "answer_start_char": 106, "answer_char_len": 9, "tokens": [14924, 25, 30534, 1047, 220, 23, 281, 7596, 13, 5112, 568, 3779, 220, 17408, 20711, 23812, 810, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 17408, 20711, 22992, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Todd had 8 pears. Then he added 296532984 more. How many pears does he have now?\nAnswer: He has 296532992 pears.", "id": 350}, {"char_len": 222, "answer_start_char": 210, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42, 521, 88, 1047, 220, 16723, 14155, 11966, 13, 5112, 1364, 18661, 220, 806, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 4578, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 14205, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 57, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKasey had 324 pumpkins. Then she gained 11. Then she by happenstance lost 89. How many does she have now?\nYour response: She has 246 of them.", "id": 351}, {"char_len": 118, "answer_start_char": 105, "answer_char_len": 4, "tokens": [14924, 271, 7594, 1037, 1047, 220, 23, 41613, 13, 1283, 2751, 220, 1032, 13, 1283, 18661, 220, 11738, 15, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 21984, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nSlade had 8 tomatoes. He got 13. He gained 4800. How many does he have now?\nAnswer\n\nHe now has 4821 of them.", "id": 352}, {"char_len": 103, "answer_start_char": 91, "answer_char_len": 3, "tokens": [48, 25, 92757, 1047, 220, 9079, 514, 24483, 13, 3005, 6688, 3201, 220, 1032, 13, 2650, 1690, 514, 24483, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 1457, 706, 220, 7461, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Ava had 119 lemons. She gave away 13. How many lemons does she have now?\nA: She now has 106 of them.", "id": 353}, {"char_len": 209, "answer_start_char": 192, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 37440, 263, 1047, 220, 26227, 76203, 13, 1283, 3952, 389, 220, 1313, 810, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 24487, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nEaston had 894 strawberries. He took on 22 more. How many strawberries does he have now?\nYour response: He has 916 strawberries.", "id": 354}, {"char_len": 131, "answer_start_char": 120, "answer_char_len": 2, "tokens": [14924, 25, 2563, 4105, 1047, 220, 24, 8492, 1924, 13, 1283, 18661, 220, 1987, 13, 1283, 3779, 220, 24, 13, 1283, 33356, 291, 220, 21, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 1135, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Blaise had 9 olives. He gained 38. He added 9. He subtracted 6. How many does he have now?\nAnswer: He now has 50 of them.", "id": 355}, {"char_len": 125, "answer_start_char": 117, "answer_char_len": 1, "tokens": [14924, 25, 480, 425, 1047, 220, 2287, 281, 7596, 13, 1283, 23415, 3201, 220, 3391, 13, 5112, 568, 5675, 220, 845, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 22, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Gage had 66 pears. He handed away 43. Then he lost 16. How many pears does he have now?\nAnswer: He now has 7 pears.", "id": 356}, {"char_len": 167, "answer_start_char": 96, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 6102, 318, 321, 13389, 1047, 220, 16, 33213, 13, 5112, 568, 23415, 3201, 220, 16, 13, 5112, 568, 7319, 279, 3392, 555, 220, 24, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nMaximiliano had 1 olive. Then he handed away 1. Then he increased the amount by 9 more. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 9 of them.", "id": 357}, {"char_len": 122, "answer_start_char": 18, "answer_char_len": 1, "tokens": [14924, 25, 28059, 1047, 220, 975, 19151, 64805, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 1032, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 16, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Rio had 14 eggplants. Then she by happenstance lost 13. How many does she have now?\nAnswer: She has 1 eggplants.", "id": 358}, {"char_len": 192, "answer_start_char": 171, "answer_char_len": 12, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 17812, 1195, 352, 1047, 220, 3226, 75391, 372, 1941, 13, 3005, 18661, 220, 17, 13, 5112, 1364, 18661, 220, 20800, 6843, 17521, 25401, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 20800, 6843, 17521, 24606, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nEsmeray had 57 cucumbers. She gained 2. Then she gained 447360768932. How many cucumbers does she have now?\nAnswer: She now has 447360768991 of them.", "id": 359}, {"char_len": 207, "answer_start_char": 192, "answer_char_len": 6, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 2276, 273, 1047, 220, 5926, 11483, 41776, 13, 5112, 1364, 23415, 3201, 220, 25515, 5932, 13, 2650, 1690, 41776, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 7461, 20785, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 51, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nMaple had 192211 apples. Then she handed away 85481. How many apples does she have now?\nYour response: She has 106730 of them.", "id": 360}, {"char_len": 148, "answer_start_char": 138, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 9027, 1122, 1047, 220, 18, 52252, 1658, 12059, 13, 1283, 555, 3621, 1333, 5675, 220, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nCalian had 3 grapefruits. He by happenstance lost 3. How many does he have now?\nAnswer: He has 0 of them.", "id": 361}, {"char_len": 113, "answer_start_char": 100, "answer_char_len": 2, "tokens": [14924, 198, 39, 29345, 1047, 220, 17, 75391, 372, 1941, 13, 5112, 1364, 3779, 220, 5538, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 1227, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nHavana had 2 cucumbers. Then she added 62 more. How many does she have now?\nAnswer\nShe has 64 cucumbers.", "id": 362}, {"char_len": 133, "answer_start_char": 122, "answer_char_len": 1, "tokens": [16533, 279, 2768, 1473, 84068, 989, 7521, 1047, 220, 18, 2911, 13, 5112, 1364, 33356, 291, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 16, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nKaelynn had 3 children. Then she subtracted 2. How many does she have now?\n\nResponse:\n\nShe now has 1 children.", "id": 363}, {"char_len": 128, "answer_start_char": 66, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 46521, 12930, 1047, 220, 17, 5157, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 16, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLianna had 2 cases. Then she by happenstance lost 1. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 1 cases.", "id": 364}, {"char_len": 118, "answer_start_char": 106, "answer_char_len": 3, "tokens": [334, 48, 96618, 23109, 689, 1047, 220, 20153, 41776, 13, 5112, 1364, 6688, 3201, 220, 14185, 13, 2650, 1690, 41776, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 1457, 706, 220, 9741, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Kaia had 433 apples. Then she gave away 248. How many apples does she have now?\n**A**: She now has 185 of them.", "id": 365}, {"char_len": 146, "answer_start_char": 136, "answer_char_len": 1, "tokens": [14924, 271, 75739, 22811, 1047, 220, 17, 281, 7596, 13, 5112, 568, 33356, 291, 220, 15, 13, 1283, 7319, 279, 3392, 555, 220, 19, 810, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nGabriel had 2 pears. Then he subtracted 0. He increased the amount by 4 more. How many pears does he have now?\nAnswer\n\nHe has 6 of them.", "id": 366}, {"char_len": 224, "answer_start_char": 140, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42, 9188, 1047, 220, 16, 73700, 13, 5112, 568, 33356, 291, 220, 16, 13, 1283, 23415, 3201, 220, 15, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 15, 76203, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nKye had 1 strawberry. Then he subtracted 1. He handed away 0. How many strawberries does he have now?\nYour response: He now has 0 strawberries.", "id": 367}, {"char_len": 169, "answer_start_char": 154, "answer_char_len": 6, "tokens": [334, 48, 96618, 51710, 1047, 220, 18, 41776, 13, 5112, 568, 3952, 389, 220, 843, 13, 5112, 568, 7319, 279, 3392, 555, 220, 24, 810, 13, 5112, 568, 18661, 220, 24962, 16482, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 706, 220, 24962, 19615, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Kai had 3 apples. Then he took on 32. Then he increased the amount by 9 more. Then he gained 891352 more. How many does he have now?\n**A**: He has 891396 of them.", "id": 368}, {"char_len": 163, "answer_start_char": 154, "answer_char_len": 2, "tokens": [12885, 53528, 15425, 2520, 4014, 1047, 220, 972, 5157, 13, 5112, 568, 2751, 220, 777, 810, 13, 1283, 6688, 3201, 220, 17, 13, 1283, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 1927, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nForrest had 18 cases. Then he got 19 more. He gave away 2. He increased the amount by 1. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 36 cases.", "id": 369}, {"char_len": 256, "answer_start_char": 238, "answer_char_len": 8, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 30287, 1047, 220, 22094, 24837, 4643, 14155, 11966, 13, 1283, 5675, 220, 6804, 25741, 2421, 13, 1283, 7319, 279, 3392, 555, 220, 16, 13, 1283, 2163, 4920, 220, 22588, 21910, 17, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 5154, 23141, 1272, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 69, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nRay had 45996579 pumpkins. He lost 12795488. He increased the amount by 1. He left behind 8119252. How many pumpkins does he have now?\nYour response: He has 25081840 pumpkins.", "id": 370}, {"char_len": 135, "answer_start_char": 123, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 10803, 40185, 1047, 220, 25251, 85138, 13, 1283, 3779, 220, 1682, 13, 5112, 568, 3779, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 23713, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nCorbyn had 786 oranges. He added 29. Then he added 1. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 816 of them.", "id": 371}, {"char_len": 151, "answer_start_char": 42, "answer_char_len": 1, "tokens": [14924, 198, 8468, 10118, 648, 1047, 220, 22, 41776, 13, 3005, 5675, 220, 15, 13, 5112, 1364, 2163, 4920, 220, 15, 13, 3005, 2163, 4920, 220, 22, 13, 2650, 1690, 41776, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 1457, 706, 220, 15, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nStephanie had 7 apples. She lost 0. Then she left behind 0. She left behind 7. How many apples does she have now?\nAnswer\nShe now has 0 apples.", "id": 372}, {"char_len": 135, "answer_start_char": 124, "answer_char_len": 2, "tokens": [14924, 198, 27588, 10516, 1047, 220, 11128, 85138, 13, 5112, 568, 2163, 4920, 220, 9800, 13, 1283, 33356, 291, 220, 22, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 706, 220, 777, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nHarlow had 179 oranges. Then he left behind 153. He subtracted 7. How many oranges does he have now?\nAnswer\nHe has 19 of them.", "id": 373}, {"char_len": 138, "answer_start_char": 124, "answer_char_len": 5, "tokens": [14924, 25, 53883, 942, 1047, 220, 17698, 1032, 10804, 2439, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 19711, 5728, 13, 2650, 1690, 10804, 2439, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 9795, 2137, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Cayson had 56013 melons. Then he by happenstance lost 42374. How many melons does he have now?\nAnswer: He now has 13639 of them.", "id": 374}, {"char_len": 133, "answer_start_char": 125, "answer_char_len": 1, "tokens": [14924, 25, 27930, 9799, 1047, 220, 24, 272, 533, 72, 13, 1283, 7319, 279, 3392, 555, 220, 4103, 810, 13, 5112, 568, 5675, 220, 4370, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 22, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Kalvin had 9 cacti. He increased the amount by 52 more. Then he lost 54. How many does he have now?\nAnswer: He has 7 cacti.", "id": 375}, {"char_len": 106, "answer_start_char": 92, "answer_char_len": 5, "tokens": [14924, 271, 5159, 18126, 1047, 220, 22, 281, 7596, 13, 1283, 18661, 220, 18017, 3174, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 18017, 2166, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nMykel had 7 pears. He gained 37341. How many does he have now?\nAnswer\n\nHe now has 37348 of them.", "id": 376}, {"char_len": 129, "answer_start_char": 117, "answer_char_len": 5, "tokens": [12885, 53528, 15425, 32, 16618, 12930, 1047, 220, 9390, 2983, 5157, 13, 3005, 18661, 220, 21, 810, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 9390, 2166, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAiyanna had 12642 cases. She gained 6 more. How many cases does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 12648 cases.", "id": 377}, {"char_len": 156, "answer_start_char": 143, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 57, 352, 3315, 1047, 220, 18017, 21, 47136, 13, 3005, 7319, 279, 3392, 555, 220, 17306, 13, 5112, 1364, 3779, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 12378, 18, 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\nZayda had 3736 peas. She increased the amount by 355. Then she added 2. How many does she have now?\n\nResponse:\n\nShe has 4093 of them.", "id": 378}, {"char_len": 123, "answer_start_char": 112, "answer_char_len": 2, "tokens": [48, 25, 33794, 546, 1047, 220, 8953, 85138, 13, 5112, 568, 3952, 389, 220, 1927, 13, 1283, 2163, 4920, 220, 10828, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 1313, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 38, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Lamont had 168 oranges. Then he took on 36. He left behind 182. How many oranges does he have now?\nA: He has 22 oranges.", "id": 379}, {"char_len": 160, "answer_start_char": 147, "answer_char_len": 4, "tokens": [14924, 198, 43, 18615, 1047, 220, 19, 76203, 13, 1283, 3779, 220, 4645, 1691, 810, 13, 1283, 3779, 220, 845, 810, 13, 1283, 5675, 220, 18509, 15, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 16533, 198, 1548, 1457, 706, 220, 23181, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nLeland had 4 strawberries. He added 10121 more. He added 16 more. He lost 3620. How many strawberries does he have now?\nAnswer\nHe now has 6521 of them.", "id": 380}, {"char_len": 123, "answer_start_char": 113, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 84978, 1047, 220, 16, 4237, 13, 5112, 1364, 2163, 4920, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nRachel had 1 fig. Then she left behind 1. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 0 of them.", "id": 381}, {"char_len": 139, "answer_start_char": 129, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 33, 4298, 1047, 220, 17, 85138, 13, 3005, 33356, 291, 220, 17, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 15, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nBria had 2 oranges. She subtracted 2. How many does she have now?\nAnswer: She now has 0 oranges.", "id": 382}, {"char_len": 151, "answer_start_char": 138, "answer_char_len": 6, "tokens": [334, 48, 96618, 42136, 64452, 1047, 220, 19, 5157, 13, 3005, 2751, 220, 5495, 810, 13, 3005, 2163, 4920, 220, 3226, 13, 5112, 1364, 3779, 220, 21936, 20165, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 5380, 334, 32, 96618, 3005, 706, 220, 21936, 14870, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Vivianne had 4 cases. She got 63 more. She left behind 57. Then she added 937434. How many cases does she have now?\n**A**: She has 937444 cases.", "id": 383}, {"char_len": 177, "answer_start_char": 169, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 41, 5179, 818, 1047, 220, 16, 98763, 13, 3005, 3779, 220, 24, 13, 2650, 1690, 47136, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 605, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJailyne had 1 pea. She added 9. How many peas does she have now?\nYour response: She has 10 peas.", "id": 384}, {"char_len": 243, "answer_start_char": 230, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33987, 285, 1047, 220, 9756, 4643, 76203, 13, 1283, 5675, 220, 7261, 3076, 13, 5112, 568, 3779, 220, 18634, 810, 13, 5112, 568, 3779, 220, 843, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 20963, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 62, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nFaris had 15279 strawberries. He lost 11269. Then he added 349 more. Then he added 32. How many strawberries does he have now?\nYour response: He has 4391 of them.", "id": 385}, {"char_len": 145, "answer_start_char": 134, "answer_char_len": 2, "tokens": [14924, 25, 16758, 2850, 1047, 220, 18775, 15, 514, 24483, 13, 1283, 555, 3621, 1333, 5675, 220, 18277, 16, 13, 5112, 568, 2163, 4920, 220, 843, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 1544, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Damari had 3670 lemons. He by happenstance lost 3611. Then he left behind 32. How many does he have now?\nAnswer: He now has 27 of them.", "id": 386}, {"char_len": 111, "answer_start_char": 101, "answer_char_len": 1, "tokens": [334, 48, 96618, 452, 5038, 1047, 220, 22, 85138, 13, 5112, 568, 6688, 3201, 220, 17, 13, 2650, 1690, 85138, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 20, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 36, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Niam had 7 oranges. Then he gave away 2. How many oranges does he have now?\n**A**: He now has 5 of them.", "id": 387}, {"char_len": 157, "answer_start_char": 24, "answer_char_len": 1, "tokens": [334, 14924, 96618, 67559, 1494, 1047, 220, 21, 47136, 13, 5112, 1364, 18661, 220, 16, 13, 5112, 1364, 33356, 291, 220, 16, 13, 5112, 1364, 2163, 4920, 220, 15, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 21, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Miyah had 6 peas. Then she gained 1. Then she subtracted 1. Then she left behind 0. How many does she have now?\n**Answer**: She now has 6 peas.", "id": 388}, {"char_len": 166, "answer_start_char": 149, "answer_char_len": 8, "tokens": [12885, 53528, 15425, 78218, 385, 1047, 220, 16546, 4237, 82, 13, 5112, 568, 7319, 279, 3392, 555, 220, 972, 810, 13, 1283, 18661, 220, 8358, 1049, 605, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 1457, 706, 220, 8358, 9639, 3076, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKylo had 341 figs. Then he increased the amount by 18 more. He gained 51220010. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe now has 51220369 of them.", "id": 389}, {"char_len": 167, "answer_start_char": 153, "answer_char_len": 3, "tokens": [14924, 271, 644, 85174, 1047, 220, 806, 19151, 64805, 13, 5112, 1364, 7319, 279, 3392, 555, 220, 17590, 13, 5112, 1364, 3952, 389, 220, 1032, 810, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 706, 220, 18044, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nInayah had 11 eggplants. Then she increased the amount by 342. Then she took on 13 more. How many eggplants does she have now?\nAnswer\n\nShe has 366 eggplants.", "id": 390}, {"char_len": 157, "answer_start_char": 147, "answer_char_len": 1, "tokens": [334, 14924, 96618, 452, 61822, 1047, 220, 22, 8492, 1924, 13, 3005, 23415, 3201, 220, 17, 13, 3005, 23415, 3201, 220, 17, 13, 3005, 6688, 3201, 220, 17, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Nyla had 7 olives. She handed away 2. She handed away 2. She gave away 2. How many olives does she have now?\n**Answer**: She now has 1 of them.", "id": 391}, {"char_len": 163, "answer_start_char": 147, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 50, 14350, 1047, 220, 10861, 1958, 19151, 64805, 13, 5112, 1364, 23415, 3201, 220, 9716, 23, 13, 5112, 1364, 2751, 220, 16, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 3965, 2589, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nSaylor had 17234 eggplants. Then she handed away 2228. Then she got 1 more. How many does she have now?\n\nResponse:\n\nShe has 15007 eggplants.", "id": 392}, {"char_len": 148, "answer_start_char": 131, "answer_char_len": 8, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 41, 710, 87, 1047, 220, 14022, 24380, 2721, 47136, 13, 1283, 33356, 291, 220, 14815, 20213, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 13860, 6280, 4578, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nJaxx had 25359195 peas. He subtracted 239606. How many does he have now?\nAnswer: He has 25119589 of them.", "id": 393}, {"char_len": 127, "answer_start_char": 114, "answer_char_len": 4, "tokens": [14924, 271, 33, 73, 1540, 1047, 220, 24380, 18, 4237, 82, 13, 5112, 568, 18661, 220, 16, 810, 13, 1283, 3779, 220, 6280, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 1457, 706, 220, 17608, 24, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nBjorn had 5913 figs. Then he gained 1 more. He added 195. How many does he have now?\nAnswer\n\nHe now has 6109 of them.", "id": 394}, {"char_len": 123, "answer_start_char": 112, "answer_char_len": 2, "tokens": [14924, 271, 37, 6258, 16133, 1047, 220, 845, 8492, 1924, 13, 5112, 568, 5675, 220, 18, 13, 1283, 3952, 389, 220, 508, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 1644, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nFinnegan had 16 olives. Then he lost 3. He took on 20 more. How many does he have now?\nAnswer\n\nHe has 33 of them.", "id": 395}, {"char_len": 189, "answer_start_char": 179, "answer_char_len": 2, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 41, 2444, 273, 1047, 220, 5925, 41776, 13, 3005, 2163, 4920, 220, 2946, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 843, 41776, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJanelle had 91 apples. She left behind 59. How many does she have now?\nYour response: She now has 32 apples.", "id": 396}, {"char_len": 172, "answer_start_char": 160, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 38299, 360, 1047, 220, 4218, 19151, 64805, 13, 5112, 1364, 3779, 220, 717, 13, 5112, 1364, 18661, 220, 18, 810, 13, 3005, 3779, 220, 16, 13, 2650, 1690, 19151, 64805, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 4278, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAzul had 86 eggplants. Then she added 12. Then she gained 3 more. She added 1. How many eggplants does she have now?\n\nResponse:\n\nShe has 102 of them.", "id": 397}, {"char_len": 165, "answer_start_char": 153, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 32, 5730, 285, 1047, 220, 21598, 85138, 13, 3005, 2751, 220, 1591, 810, 13, 3005, 5675, 220, 10568, 13, 3005, 33356, 291, 220, 4331, 13, 2650, 1690, 85138, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 17690, 85138, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nAmaris had 653 oranges. She got 28 more. She lost 330. She subtracted 53. How many oranges does she have now?\n\nResponse:\n\nShe has 298 oranges.", "id": 398}, {"char_len": 102, "answer_start_char": 94, "answer_char_len": 1, "tokens": [14924, 25, 1708, 1601, 1047, 220, 19, 272, 533, 72, 13, 5112, 568, 2751, 220, 16, 13, 2650, 1690, 272, 533, 72, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 20, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Alister had 4 cacti. Then he got 1. How many cacti does he have now?\nAnswer: He has 5 cacti.", "id": 399}, {"char_len": 146, "answer_start_char": 139, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 42, 78, 1494, 1047, 220, 16, 98763, 13, 5112, 568, 2163, 4920, 220, 15, 13, 5112, 568, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 17, 47136, 13], "tokenizer": "cl100k_base", "tokens_len": 44, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKoah had 1 pea. Then he left behind 0. Then he increased the amount by 1. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 2 peas.", "id": 400}, {"char_len": 153, "answer_start_char": 77, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 2149, 783, 1047, 220, 16, 78182, 13, 5112, 568, 23415, 3201, 220, 16, 13, 1283, 23415, 3201, 220, 15, 13, 2650, 1690, 34697, 680, 645, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 15, 34697, 680, 645, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nAlton had 1 pineapple. Then he handed away 1. He handed away 0. How many pineapples does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 0 pineapples.", "id": 401}, {"char_len": 121, "answer_start_char": 111, "answer_char_len": 1, "tokens": [14924, 25, 5270, 1047, 220, 17, 2911, 13, 5112, 1364, 23415, 3201, 220, 17, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: America had 2 children. Then she handed away 2. How many children does she have now?\nAnswer: She has 0 of them.", "id": 402}, {"char_len": 237, "answer_start_char": 224, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 32, 4108, 1047, 220, 27341, 47136, 13, 3005, 2163, 4920, 220, 17763, 13, 5112, 1364, 18661, 220, 4278, 19, 13, 5112, 1364, 33356, 291, 220, 9748, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 10290, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 62, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAries had 957 peas. She left behind 416. Then she gained 1024. Then she subtracted 129. How many does she have now?\nYour response: She now has 1436 of them.", "id": 403}, {"char_len": 93, "answer_start_char": 81, "answer_char_len": 3, "tokens": [48, 25, 6168, 1910, 1047, 220, 1682, 11012, 13, 5112, 568, 18661, 220, 4386, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 706, 220, 10895, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Devyn had 29 plants. Then he gained 128. How many does he have now?\nA: He has 157 of them.", "id": 404}, {"char_len": 144, "answer_start_char": 134, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 35541, 1047, 220, 22, 514, 24483, 13, 5112, 568, 2163, 4920, 220, 20, 13, 2650, 1690, 514, 24483, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 17, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nMike had 7 lemons. Then he left behind 5. How many lemons does he have now?\nAnswer: He has 2 of them.", "id": 405}, {"char_len": 141, "answer_start_char": 126, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 33, 1900, 383, 6723, 1047, 220, 16, 66032, 13, 5112, 1364, 2751, 220, 14087, 22, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 14087, 23, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nBatsheva had 1 cucumber. Then she got 2367 more. How many cucumbers does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 2368 cucumbers.", "id": 406}, {"char_len": 175, "answer_start_char": 159, "answer_char_len": 7, "tokens": [14924, 25, 56625, 1047, 220, 8259, 76203, 13, 1283, 33356, 291, 220, 4161, 13, 1283, 18661, 220, 25401, 16544, 22, 13, 5112, 568, 23415, 3201, 220, 13302, 22191, 17, 13, 2650, 1690, 76203, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 22977, 21474, 16, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Maxim had 122 strawberries. He subtracted 96. He gained 9322827. Then he handed away 2184762. How many strawberries does he have now?\nAnswer: He has 7138091 of them.", "id": 407}, {"char_len": 188, "answer_start_char": 174, "answer_char_len": 5, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 3957, 786, 1047, 220, 10680, 23592, 9863, 315, 5684, 13, 3005, 555, 3621, 1333, 5675, 220, 22393, 3226, 13, 2650, 1690, 9863, 315, 5684, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 23644, 1691, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 47, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nIsabel had 165778 pieces of paper. She by happenstance lost 90557. How many pieces of paper does she have now?\nAnswer: She now has 75221 of them.", "id": 408}, {"char_len": 162, "answer_start_char": 145, "answer_char_len": 7, "tokens": [12885, 53528, 15425, 42, 20103, 1047, 220, 11483, 18196, 2137, 8330, 14380, 13, 3005, 5675, 220, 9263, 17973, 410, 13, 3005, 6688, 3201, 220, 6550, 7028, 17, 13, 2650, 1690, 8330, 14380, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 21741, 25202, 22, 8330, 14380, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKoa had 21132939 squashes. She lost 13180100. She gave away 1051902. How many squashes does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 6900937 squashes.", "id": 409}, {"char_len": 201, "answer_start_char": 189, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 33731, 1047, 220, 16, 38790, 13, 5112, 568, 33356, 291, 220, 15, 13, 1283, 3779, 220, 7743, 13, 2650, 1690, 281, 7596, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 5120, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 53, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nJack had 1 pear. Then he subtracted 0. He added 109. How many pears does he have now?\nYour response: He has 110 of them.", "id": 410}, {"char_len": 165, "answer_start_char": 76, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 32, 307, 1910, 1047, 220, 17, 11012, 13, 5112, 568, 5675, 220, 15, 13, 5112, 568, 2163, 4920, 220, 17, 13, 2650, 1690, 11012, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAidyn had 2 plants. Then he lost 0. Then he left behind 2. How many plants does he have now?\nAnswer: He now has 0 of them.", "id": 411}, {"char_len": 125, "answer_start_char": 115, "answer_char_len": 1, "tokens": [48, 25, 39726, 822, 1047, 220, 20, 47136, 13, 1283, 33356, 291, 220, 18, 13, 5112, 568, 6688, 3201, 220, 16, 13, 5112, 568, 5675, 220, 16, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Ezio had 5 peas. He subtracted 3. Then he gave away 1. Then he lost 1. How many does he have now?\nA: He now has 0 of them.", "id": 412}, {"char_len": 115, "answer_start_char": 100, "answer_char_len": 5, "tokens": [334, 48, 96618, 62245, 1047, 220, 20360, 6083, 2911, 13, 5112, 568, 3952, 389, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 20360, 6281, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Benedict had 45192 children. Then he took on 2. How many does he have now?\n**A**: He now has 45194 children.", "id": 413}, {"char_len": 199, "answer_start_char": 187, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 2127, 11755, 1047, 220, 19104, 2911, 13, 3005, 7319, 279, 3392, 555, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 25110, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAnika had 760 children. She increased the amount by 1. How many does she have now?\nYour response: She has 761 of them.", "id": 414}, {"char_len": 157, "answer_start_char": 144, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 32, 894, 64, 1047, 220, 10239, 5313, 19151, 64805, 13, 5112, 568, 33356, 291, 220, 6550, 1774, 13, 1283, 5675, 220, 23477, 13, 2650, 1690, 19151, 64805, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 706, 220, 16718, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nArya had 14285 eggplants. Then he subtracted 10545. He lost 566. How many eggplants does he have now?\n\nResponse:\n\nHe has 3174 of them.", "id": 415}, {"char_len": 111, "answer_start_char": 101, "answer_char_len": 1, "tokens": [12885, 53528, 15425, 57, 4748, 1047, 220, 16, 52252, 36698, 13, 3005, 5675, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 15, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nZoe had 1 grapefruit. She lost 1. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 0 of them.", "id": 416}, {"char_len": 172, "answer_start_char": 157, "answer_char_len": 4, "tokens": [16533, 279, 2768, 1473, 5028, 1334, 1047, 220, 10861, 19, 19151, 64805, 13, 3005, 7319, 279, 3392, 555, 220, 914, 810, 13, 5112, 1364, 3779, 220, 19, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 10005, 18, 19151, 64805, 13], "tokenizer": "cl100k_base", "tokens_len": 46, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nBlair had 1724 eggplants. She increased the amount by 25 more. Then she added 4 more. How many does she have now?\n\nResponse:\n\nShe has 1753 eggplants.", "id": 417}, {"char_len": 148, "answer_start_char": 75, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 56, 90544, 1047, 220, 19, 4237, 82, 13, 3005, 23415, 3201, 220, 19, 13, 5112, 1364, 3779, 220, 4331, 810, 13, 2650, 1690, 4237, 82, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 4331, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 43, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nYusra had 4 figs. She handed away 4. Then she added 53 more. How many figs does she have now?\n\nResponse:\n\nShe has 53 of them.", "id": 418}, {"char_len": 206, "answer_start_char": 184, "answer_char_len": 13, "tokens": [16533, 279, 2768, 1473, 44, 19379, 71, 1047, 220, 7322, 21, 514, 24483, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 21741, 13, 3005, 3779, 220, 14735, 13135, 13895, 22369, 21, 13, 5112, 1364, 3952, 389, 220, 19, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 1457, 706, 220, 14735, 13135, 13895, 23402, 21, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 61, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMaliah had 1156 lemons. Then she by happenstance lost 690. She added 2498022385276. Then she took on 4 more. How many does she have now?\n\nResponse:\n\nShe now has 2498022385746 of them.", "id": 419}, {"char_len": 151, "answer_start_char": 140, "answer_char_len": 2, "tokens": [334, 14924, 96618, 30301, 1047, 220, 1187, 281, 7596, 13, 3005, 2751, 220, 17, 810, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 15, 13, 2650, 1690, 281, 7596, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 1457, 706, 220, 1627, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Kate had 24 pears. She got 2 more. Then she by happenstance lost 0. How many pears does she have now?\n**Answer**: She now has 26 of them.", "id": 420}, {"char_len": 89, "answer_start_char": 78, "answer_char_len": 2, "tokens": [48, 25, 62496, 1047, 220, 18, 14155, 11966, 13, 1283, 3779, 220, 6086, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 32, 25, 1283, 1457, 706, 220, 5313, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 31, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Amen had 3 pumpkins. He added 82. How many does he have now?\nA: He now has 85 of them.", "id": 421}, {"char_len": 148, "answer_start_char": 136, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 35, 1923, 616, 1047, 220, 3391, 14155, 11966, 13, 1283, 6688, 3201, 220, 16, 13, 5112, 568, 3952, 389, 220, 3192, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 18163, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDarnell had 43 pumpkins. He gave away 1. Then he took on 255. How many pumpkins does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 297 of them.", "id": 422}, {"char_len": 119, "answer_start_char": 21, "answer_char_len": 1, "tokens": [14924, 25, 97289, 582, 1047, 220, 23, 63494, 13, 5112, 568, 23415, 3201, 220, 15, 13, 2650, 1690, 63494, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 34, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Cormac had 8 berries. Then he handed away 0. How many berries does he have now?\nAnswer: He now has 8 of them.", "id": 423}, {"char_len": 137, "answer_start_char": 77, "answer_char_len": 1, "tokens": [14924, 198, 56, 360, 12699, 1047, 220, 22, 5157, 13, 5112, 1364, 555, 3621, 1333, 5675, 220, 22, 13, 3005, 6688, 3201, 220, 15, 13, 2650, 1690, 5157, 1587, 1364, 617, 1457, 5380, 16533, 198, 8100, 706, 220, 15, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 41, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\nYuliana had 7 cases. Then she by happenstance lost 7. She gave away 0. How many cases does she have now?\nAnswer\nShe has 0 cases.", "id": 424}, {"char_len": 223, "answer_start_char": 210, "answer_char_len": 4, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 42042, 1047, 220, 16, 98763, 13, 1283, 3952, 389, 220, 8011, 16, 810, 13, 1283, 2751, 220, 13074, 13, 5112, 568, 18661, 220, 22600, 18, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 1457, 706, 220, 25073, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 61, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nChristian had 1 pea. He took on 1141 more. He got 403. Then he gained 5383. How many does he have now?\nYour response: He now has 6928 of them.", "id": 425}, {"char_len": 158, "answer_start_char": 142, "answer_char_len": 5, "tokens": [16533, 279, 2768, 1473, 44, 16094, 648, 1047, 220, 24288, 20, 75391, 372, 1941, 13, 3005, 3779, 220, 19, 13, 3005, 3779, 220, 9378, 19, 810, 13, 2650, 1690, 75391, 372, 1941, 1587, 1364, 617, 1457, 1980, 2647, 1473, 8100, 706, 220, 1041, 1644, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 48, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nMaggie had 8135 cucumbers. She added 4. She added 1894 more. How many cucumbers does she have now?\n\nResponse:\n\nShe has 10033 cucumbers.", "id": 426}, {"char_len": 99, "answer_start_char": 89, "answer_char_len": 3, "tokens": [48, 25, 469, 3817, 269, 1047, 220, 17, 281, 7596, 13, 3005, 18661, 220, 2287, 13, 3005, 2751, 220, 4331, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 32, 25, 3005, 706, 220, 7994, 281, 7596, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Q: Elinor had 2 pears. She gained 66. She got 53. How many does she have now?\nA: She has 121 pears.", "id": 427}, {"char_len": 222, "answer_start_char": 205, "answer_char_len": 9, "tokens": [16533, 279, 2768, 1473, 50, 3105, 301, 1047, 220, 22640, 16408, 20, 8492, 1924, 13, 5112, 568, 2163, 4920, 220, 16544, 6843, 21, 13, 5112, 568, 555, 3621, 1333, 5675, 220, 7994, 21641, 17, 13, 1283, 7319, 279, 3392, 555, 220, 6849, 15257, 21404, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 6550, 14374, 21598, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 64, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nSamael had 4974055 olives. Then he left behind 2823606. Then he by happenstance lost 1210262. He increased the amount by 104325466. How many does he have now?\n\nResponse:\n\nHe now has 105265653 olives.", "id": 428}, {"char_len": 193, "answer_start_char": 183, "answer_char_len": 1, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 42987, 7911, 1047, 220, 20, 8492, 1924, 13, 3005, 18661, 220, 16, 810, 13, 5112, 1364, 33356, 291, 220, 17, 13, 3005, 555, 3621, 1333, 5675, 220, 15, 13, 2650, 1690, 8492, 1924, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 706, 220, 19, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 54, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nMiya had 5 olives. She gained 1 more. Then she subtracted 2. She by happenstance lost 0. How many olives does she have now?\nAnswer: She has 4 of them.", "id": 429}, {"char_len": 194, "answer_start_char": 173, "answer_char_len": 12, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 51844, 4381, 1047, 220, 4513, 22287, 22418, 19272, 24, 34697, 680, 645, 13, 5112, 568, 23415, 3201, 220, 23181, 18048, 20943, 22642, 13, 1283, 18661, 220, 17, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 23670, 19068, 8765, 10680, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 55, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nJoshua had 1235484898809 pineapples. Then he handed away 652504565646. He gained 2. How many does he have now?\nAnswer: He now has 582980333165 of them.", "id": 430}, {"char_len": 179, "answer_start_char": 167, "answer_char_len": 3, "tokens": [14924, 271, 19847, 61822, 1047, 220, 14374, 777, 2911, 13, 3005, 7319, 279, 3392, 555, 220, 717, 13, 5112, 1364, 5675, 220, 12425, 1721, 13, 3005, 33356, 291, 220, 20698, 15, 13, 2650, 1690, 2911, 1587, 1364, 617, 1457, 5380, 16533, 271, 8100, 1457, 706, 220, 16551, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 50, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nSkyla had 26519 children. She increased the amount by 12. Then she lost 22101. She subtracted 3970. How many children does she have now?\nAnswer\n\nShe now has 460 of them.", "id": 431}, {"char_len": 138, "answer_start_char": 126, "answer_char_len": 2, "tokens": [334, 14924, 96618, 30524, 1047, 220, 4578, 2911, 13, 3005, 18661, 220, 20, 810, 13, 5112, 1364, 18661, 220, 19, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 3264, 2911, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Campbell had 89 children. She gained 5 more. Then she gained 4. How many does she have now?\n**Answer**: She has 98 children.", "id": 432}, {"char_len": 106, "answer_start_char": 94, "answer_char_len": 2, "tokens": [14924, 25, 469, 1677, 72, 1047, 220, 16, 50625, 13, 3005, 18661, 220, 2148, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 16533, 25, 3005, 1457, 706, 220, 843, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 32, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question: Emoni had 1 pumpkin. She gained 31. How many does she have now?\nAnswer: She now has 32 pumpkins.", "id": 433}, {"char_len": 125, "answer_start_char": 110, "answer_char_len": 6, "tokens": [12885, 53528, 15425, 43, 18314, 1047, 220, 21505, 20775, 47136, 13, 1283, 33356, 291, 220, 15451, 24337, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 12885, 11954, 40451, 15425, 1548, 706, 220, 2550, 22977, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 37, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nLenny had 473632 peas. He subtracted 273919. How many does he have now?\n\n\"\"\"ANSWER\"\"\"\n\nHe has 199713 of them.", "id": 434}, {"char_len": 206, "answer_start_char": 188, "answer_char_len": 8, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 17555, 3633, 1047, 220, 17267, 17574, 3076, 14155, 11966, 13, 5112, 568, 3952, 389, 220, 3971, 810, 13, 5112, 568, 3952, 389, 220, 15451, 20, 810, 13, 1283, 18661, 220, 20617, 6069, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 17267, 22750, 1987, 14155, 11966, 13], "tokenizer": "cl100k_base", "tokens_len": 59, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nAntony had 27941269 pumpkins. Then he took on 51 more. Then he took on 2735 more. He gained 47183. How many does he have now?\nAnswer: He now has 27991238 pumpkins.", "id": 435}, {"char_len": 145, "answer_start_char": 132, "answer_char_len": 4, "tokens": [12885, 53528, 15425, 8161, 3458, 1047, 220, 10513, 85138, 13, 3005, 3779, 220, 10336, 15, 810, 13, 3005, 23415, 3201, 220, 17335, 13, 2650, 1690, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 706, 220, 11123, 18, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nDonna had 164 oranges. She added 1840 more. She handed away 291. How many does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe has 1713 of them.", "id": 436}, {"char_len": 128, "answer_start_char": 113, "answer_char_len": 4, "tokens": [14924, 271, 1951, 23184, 1047, 220, 10132, 17, 75391, 372, 1941, 13, 5112, 568, 18661, 220, 9639, 22, 13, 1283, 3779, 220, 1490, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 271, 1548, 706, 220, 18775, 24, 75391, 372, 1941, 13], "tokenizer": "cl100k_base", "tokens_len": 42, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Question\n\nDeacon had 1562 cucumbers. Then he gained 2037. He added 80. How many does he have now?\nAnswer\n\nHe has 3679 cucumbers.", "id": 437}, {"char_len": 121, "answer_start_char": 109, "answer_char_len": 5, "tokens": [334, 14924, 96618, 40183, 64, 1047, 220, 8874, 1419, 272, 533, 72, 13, 5112, 1364, 6688, 3201, 220, 21209, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 334, 16533, 96618, 3005, 706, 220, 9079, 2397, 272, 533, 72, 13], "tokenizer": "cl100k_base", "tokens_len": 39, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Reyna had 12423 cacti. Then she gave away 458. How many does she have now?\n**Answer**: She has 11965 cacti.", "id": 438}, {"char_len": 227, "answer_start_char": 217, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 6719, 398, 1047, 220, 605, 8330, 14380, 13, 5112, 1364, 3952, 389, 220, 16, 13, 3005, 33356, 291, 220, 21, 13, 5112, 1364, 3952, 389, 220, 18, 810, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 706, 220, 23, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 62, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nElly had 10 squashes. Then she took on 1. She subtracted 6. Then she took on 3 more. How many does she have now?\nYour response: She has 8 of them.", "id": 439}, {"char_len": 194, "answer_start_char": 178, "answer_char_len": 9, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 39, 408, 1293, 1047, 220, 22529, 15, 5157, 13, 5112, 568, 7319, 279, 3392, 555, 220, 14378, 12505, 5120, 13, 1283, 5675, 220, 11387, 26956, 2371, 13, 2650, 1690, 5157, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 706, 220, 9639, 23587, 14087, 5157, 13], "tokenizer": "cl100k_base", "tokens_len": 52, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Please respond to the following question.\n\nHenderson had 5730 cases. Then he increased the amount by 229040110. He lost 26008604. How many cases does he have now?\nAnswer: He has 203037236 cases.", "id": 440}, {"char_len": 209, "answer_start_char": 202, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 2654, 5169, 1047, 220, 1758, 4237, 82, 13, 5112, 1364, 6688, 3201, 220, 1544, 13, 5112, 1364, 18661, 220, 16, 13, 2650, 1690, 4237, 82, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 24, 4237, 82, 13], "tokenizer": "cl100k_base", "tokens_len": 57, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nAdara had 35 figs. Then she gave away 27. Then she gained 1. How many figs does she have now?\nYour response: She now has 9 figs.", "id": 441}, {"char_len": 169, "answer_start_char": 159, "answer_char_len": 3, "tokens": [5618, 6013, 311, 279, 2768, 3488, 382, 6971, 21825, 1047, 220, 6889, 18, 272, 533, 72, 13, 5112, 568, 23415, 3201, 220, 13754, 13, 5112, 568, 3779, 220, 21, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 16533, 25, 1283, 1457, 706, 220, 25541, 272, 533, 72, 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\nBraden had 1033 cacti. Then he handed away 290. Then he added 6 more. How many does he have now?\nAnswer: He now has 749 cacti.", "id": 442}, {"char_len": 133, "answer_start_char": 121, "answer_char_len": 3, "tokens": [16533, 279, 2768, 1473, 7489, 268, 1047, 220, 4364, 76203, 13, 1283, 3952, 389, 220, 6280, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 15189, 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\nCoen had 120 strawberries. He took on 195 more. How many does he have now?\n\nResponse:\n\nHe now has 315 of them.", "id": 443}, {"char_len": 186, "answer_start_char": 177, "answer_char_len": 1, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 49, 7911, 1047, 220, 18, 10804, 2439, 13, 5112, 1364, 33356, 291, 220, 16, 13, 2650, 1690, 1587, 1364, 617, 1457, 5380, 7927, 2077, 25, 3005, 1457, 706, 220, 17, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nRya had 3 melons. Then she subtracted 1. How many does she have now?\nYour response: She now has 2 melons.", "id": 444}, {"char_len": 218, "answer_start_char": 148, "answer_char_len": 3, "tokens": [791, 2768, 374, 264, 3488, 505, 264, 1217, 13, 5321, 6013, 9539, 323, 99732, 398, 382, 35, 71, 2739, 85, 1047, 220, 868, 10804, 2439, 13, 1283, 5675, 220, 1032, 13, 5112, 568, 2163, 4920, 220, 17, 13, 1283, 3952, 389, 220, 13384, 810, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 7927, 2077, 25, 1283, 706, 220, 13384, 10804, 2439, 13], "tokenizer": "cl100k_base", "tokens_len": 62, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "The following is a question from a user. Please respond clearly and succinctly.\n\nDhruv had 15 melons. He lost 13. Then he left behind 2. He took on 312 more. How many does he have now?\nYour response: He has 312 melons.", "id": 445}, {"char_len": 151, "answer_start_char": 140, "answer_char_len": 2, "tokens": [16533, 279, 2768, 1473, 1163, 8477, 1047, 220, 22, 14155, 11966, 13, 1283, 7319, 279, 3392, 555, 220, 20, 810, 13, 2650, 1690, 14155, 11966, 1587, 568, 617, 1457, 1980, 2647, 1473, 1548, 1457, 706, 220, 717, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 40, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "Answer the following:\n\nChosen had 7 pumpkins. He increased the amount by 5 more. How many pumpkins does he have now?\n\nResponse:\n\nHe now has 12 of them.", "id": 446}, {"char_len": 99, "answer_start_char": 88, "answer_char_len": 2, "tokens": [334, 48, 96618, 15504, 404, 1047, 220, 1114, 4237, 82, 13, 1283, 33356, 291, 220, 20, 13, 2650, 1690, 1587, 568, 617, 1457, 5380, 334, 32, 96618, 1283, 1457, 706, 220, 717, 315, 1124, 13], "tokenizer": "cl100k_base", "tokens_len": 35, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Q**: Ramir had 17 figs. He subtracted 5. How many does he have now?\n**A**: He now has 12 of them.", "id": 447}, {"char_len": 181, "answer_start_char": 169, "answer_char_len": 3, "tokens": [12885, 53528, 15425, 92280, 68, 1047, 220, 11242, 63494, 13, 3005, 23415, 3201, 220, 5932, 13, 3005, 3952, 389, 220, 9378, 810, 13, 5112, 1364, 33356, 291, 220, 6860, 13, 2650, 1690, 63494, 1587, 1364, 617, 1457, 1980, 12885, 11954, 40451, 15425, 8100, 1457, 706, 220, 9591, 63494, 13], "tokenizer": "cl100k_base", "tokens_len": 49, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "\"\"\"QUESTION\"\"\"\n\nKylee had 177 berries. She handed away 81. She took on 189 more. Then she subtracted 140. How many berries does she have now?\n\n\"\"\"ANSWER\"\"\"\n\nShe now has 145 berries.", "id": 448}, {"char_len": 143, "answer_start_char": 131, "answer_char_len": 4, "tokens": [334, 14924, 96618, 12280, 1047, 220, 12171, 2946, 8492, 1924, 13, 5112, 568, 23415, 3201, 220, 6330, 2813, 13, 1283, 2751, 220, 2096, 13, 2650, 1690, 8492, 1924, 1587, 568, 617, 1457, 5380, 334, 16533, 96618, 1283, 1457, 706, 220, 21984, 21, 8492, 1924, 13], "tokenizer": "cl100k_base", "tokens_len": 45, "word_problem_type": "mixed", "shows_work": false, "data_type": "simple_arithmetic_wp", "txt": "**Question**: Job had 20859 olives. Then he handed away 16077. He got 44. How many olives does he have now?\n**Answer**: He now has 4826 olives.", "id": 449}, {"char_len": 70, "rule": "2*3^x+37", "tokens": [791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 1806, 271, 2137, 271, 3391, 271, 2131, 271, 5925, 271, 2550, 271, 21123, 271, 10161, 20, 271, 18495, 16, 271, 9263, 2946, 271, 20077, 2839], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: 2*3^x+37\n\n39\n\n43\n\n55\n\n91\n\n199\n\n523\n\n1495\n\n4411\n\n13159\n\n39403", "id": 450}, {"char_len": 63, "rule": "x+0*7", "tokens": [791, 6037, 25, 865, 10, 15, 9, 22, 271, 15, 262, 220, 16, 262, 220, 17, 262, 220, 18, 262, 220, 19, 262, 220, 20, 262, 220, 21, 262, 220, 22, 262, 220, 23, 262, 220, 24], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*7\n\n0 1 2 3 4 5 6 7 8 9", "id": 451}, {"char_len": 46, "rule": "x^3+23", "tokens": [791, 6037, 25, 865, 61, 18, 10, 1419, 271, 1419, 405, 1187, 405, 2148, 405, 1135, 405, 4044, 405, 10410, 405, 14815], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+23\n\n23->24->31->50->87->148->239", "id": 452}, {"char_len": 34, "rule": "x+78+19", "tokens": [791, 6037, 25, 865, 10, 2495, 10, 777, 271, 3534, 11, 220, 3264, 11, 220, 1484, 11, 220, 1041], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: x+78+19\n\n97, 98, 99, 100", "id": 453}, {"char_len": 63, "rule": "3*4^x", "tokens": [791, 6037, 25, 220, 18, 9, 19, 61, 87, 271, 18, 198, 717, 198, 2166, 198, 5926, 198, 17521, 198, 14777, 17, 198, 8259, 2421, 198, 21824, 4103, 198, 5162, 19944, 198, 25251, 16739], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 3*4^x\n\n3\n12\n48\n192\n768\n3072\n12288\n49152\n196608\n786432", "id": 454}, {"char_len": 46, "rule": "x+9*15", "tokens": [791, 6037, 25, 865, 10, 24, 9, 868, 271, 8878, 405, 9795, 405, 10148, 405, 10350, 405, 10125, 405, 6860], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: x+9*15\n\n135->136->137->138->139->140", "id": 455}, {"char_len": 63, "rule": "x+9*50", "tokens": [791, 6037, 25, 865, 10, 24, 9, 1135, 271, 10617, 1174, 220, 20360, 1174, 220, 21098, 1174, 220, 20235, 1174, 220, 20555, 1174, 220, 20325, 1174, 220, 10961, 1174, 220, 21675], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: x+9*50\n\n450 , 451 , 452 , 453 , 454 , 455 , 456 , 457", "id": 456}, {"char_len": 40, "rule": "3*3^x+96", "tokens": [791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 4161, 271, 1484, 1174, 220, 6550, 1174, 220, 4513, 1174, 220, 11242], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 3*3^x+96\n\n99 , 105 , 123 , 177", "id": 457}, {"char_len": 27, "rule": "2*2^x+0", "tokens": [791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 15, 271, 17, 91, 19, 91, 23, 91, 845], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: 2*2^x+0\n\n2|4|8|16", "id": 458}, {"char_len": 49, "rule": "x^2+41", "tokens": [791, 6037, 25, 865, 61, 17, 10, 3174, 271, 3174, 91, 2983, 91, 1774, 91, 1135, 91, 3226, 91, 2287, 91, 2813, 91, 1954, 91, 6550, 91, 8259], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x^2+41\n\n41|42|45|50|57|66|77|90|105|122", "id": 459}, {"char_len": 75, "rule": "x+94*7", "tokens": [791, 6037, 25, 865, 10, 6281, 9, 22, 271, 23654, 765, 220, 25090, 765, 220, 19274, 765, 220, 24132, 765, 220, 24199, 765, 220, 24491, 765, 220, 23888, 765, 220, 23467, 765, 220, 10943, 765, 220, 19774], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The rule: x+94*7\n\n658 | 659 | 660 | 661 | 662 | 663 | 664 | 665 | 666 | 667", "id": 460}, {"char_len": 36, "rule": "x+6*11", "tokens": [791, 6037, 25, 865, 10, 21, 9, 806, 271, 2287, 405, 3080, 405, 2614, 405, 3076, 405, 2031], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "arithmetic_sequence", "txt": "The rule: x+6*11\n\n66->67->68->69->70", "id": 461}, {"char_len": 37, "rule": "3^x+72", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 5332, 271, 5958, 220, 2075, 220, 5932, 220, 1484, 220, 9800, 220, 15189], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+72\n\n73 75 81 99 153 315", "id": 462}, {"char_len": 42, "rule": "18*x+0", "tokens": [791, 6037, 25, 220, 972, 18988, 10, 15, 271, 15, 220, 972, 220, 1927, 220, 4370, 220, 5332, 220, 1954, 220, 6640, 220, 9390], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: 18*x+0\n\n0 18 36 54 72 90 108 126", "id": 463}, {"char_len": 53, "rule": "x+59*19", "tokens": [791, 6037, 25, 865, 10, 2946, 9, 777, 271, 7261, 16, 11, 220, 7261, 17, 11, 220, 7261, 18, 11, 220, 7261, 19, 11, 220, 7261, 20, 11, 220, 7261, 21], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: x+59*19\n\n1121, 1122, 1123, 1124, 1125, 1126", "id": 464}, {"char_len": 64, "rule": "2*2^x+49", "tokens": [791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 2491, 271, 3971, 11, 220, 4331, 11, 220, 3226, 11, 220, 2397, 11, 220, 5932, 11, 220, 8190, 11, 220, 11242, 11, 220, 13364, 11, 220, 20460, 11, 220, 7699, 18], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The rule: 2*2^x+49\n\n51, 53, 57, 65, 81, 113, 177, 305, 561, 1073", "id": 465}, {"char_len": 28, "rule": "x^3+0", "tokens": [791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 271, 16, 271, 23, 271, 1544], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+0\n\n0\n\n1\n\n8\n\n27", "id": 466}, {"char_len": 46, "rule": "2*4^x", "tokens": [791, 6037, 25, 220, 17, 9, 19, 61, 87, 271, 17, 674, 220, 23, 674, 220, 843, 674, 220, 4386, 674, 220, 8358, 674, 220, 7854, 23], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 2*4^x\n\n2 # 8 # 32 # 128 # 512 # 2048", "id": 467}, {"char_len": 45, "rule": "2^x+0", "tokens": [791, 6037, 25, 220, 17, 61, 87, 10, 15, 271, 16, 220, 17, 220, 19, 220, 23, 220, 845, 220, 843, 220, 1227, 220, 4386, 220, 4146, 220, 8358], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The rule: 2^x+0\n\n1 2 4 8 16 32 64 128 256 512", "id": 468}, {"char_len": 39, "rule": "21*(x+7)", "tokens": [791, 6037, 25, 220, 1691, 6737, 87, 10, 22, 696, 10288, 201, 8953, 201, 9378, 201, 8848, 201, 12245], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: 21*(x+7)\n\n147\r168\r189\r210\r231", "id": 469}, {"char_len": 63, "rule": "x+74*44", "tokens": [791, 6037, 25, 865, 10, 5728, 9, 2096, 271, 15257, 21, 198, 15257, 22, 198, 15257, 23, 198, 15257, 24, 198, 17470, 15, 198, 17470, 16, 198, 17470, 17, 198, 17470, 18, 198, 17470, 19], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: x+74*44\n\n3256\n3257\n3258\n3259\n3260\n3261\n3262\n3263\n3264", "id": 470}, {"char_len": 43, "rule": "x+0+3", "tokens": [791, 6037, 25, 865, 10, 15, 10, 18, 271, 18, 262, 220, 19, 262, 220, 20, 262, 220, 21, 262, 220, 22, 262, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+3\n\n3 4 5 6 7 8", "id": 471}, {"char_len": 38, "rule": "x+0+21", "tokens": [791, 6037, 25, 865, 10, 15, 10, 1691, 271, 1691, 198, 1313, 198, 1419, 198, 1187, 198, 914, 198, 1627, 198, 1544], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+21\n\n21\n22\n23\n24\n25\n26\n27", "id": 472}, {"char_len": 55, "rule": "3^x+0", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 1174, 220, 18, 1174, 220, 24, 1174, 220, 1544, 1174, 220, 5932, 1174, 220, 14052, 1174, 220, 22194, 1174, 220, 13302, 22], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+0\n\n1 , 3 , 9 , 27 , 81 , 243 , 729 , 2187", "id": 473}, {"char_len": 74, "rule": "2*3^x", "tokens": [791, 6037, 25, 220, 17, 9, 18, 61, 87, 271, 17, 1174, 220, 21, 1174, 220, 972, 1174, 220, 4370, 1174, 220, 10674, 1174, 220, 21511, 1174, 220, 9591, 23, 1174, 220, 18318, 19, 1174, 220, 9263, 1313, 1174, 220, 18252, 2287], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The rule: 2*3^x\n\n2 , 6 , 18 , 54 , 162 , 486 , 1458 , 4374 , 13122 , 39366", "id": 474}, {"char_len": 76, "rule": "x+0+15", "tokens": [791, 6037, 25, 865, 10, 15, 10, 868, 271, 868, 3929, 220, 845, 3929, 220, 1114, 3929, 220, 972, 3929, 220, 777, 3929, 220, 508, 3929, 220, 1691, 3929, 220, 1313, 3929, 220, 1419], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+15\n\n15 --> 16 --> 17 --> 18 --> 19 --> 20 --> 21 --> 22 --> 23", "id": 475}, {"char_len": 51, "rule": "3^x+42", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 2983, 271, 3391, 11, 1774, 11, 3971, 11, 3076, 11, 4513, 11, 15935, 11, 24876, 11, 9716, 24, 11, 19274, 18], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+42\n\n43,45,51,69,123,285,771,2229,6603", "id": 476}, {"char_len": 40, "rule": "2*2^x+49", "tokens": [791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 2491, 271, 3971, 262, 220, 4331, 262, 220, 3226, 262, 220, 2397], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 2*2^x+49\n\n51 53 57 65", "id": 477}, {"char_len": 52, "rule": "x+66+4", "tokens": [791, 6037, 25, 865, 10, 2287, 10, 19, 271, 2031, 11, 220, 6028, 11, 220, 5332, 11, 220, 5958, 11, 220, 5728, 11, 220, 2075, 11, 220, 4767, 11, 220, 2813, 11, 220, 2495], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: x+66+4\n\n70, 71, 72, 73, 74, 75, 76, 77, 78", "id": 478}, {"char_len": 41, "rule": "11*(x+8)", "tokens": [791, 6037, 25, 220, 806, 6737, 87, 10, 23, 696, 2421, 11, 220, 1484, 11, 220, 5120, 11, 220, 7994, 11, 220, 9413], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "The rule: 11*(x+8)\n\n88, 99, 110, 121, 132", "id": 479}, {"char_len": 63, "rule": "3*4^x", "tokens": [791, 6037, 25, 220, 18, 9, 19, 61, 87, 271, 18, 765, 220, 717, 765, 220, 2166, 765, 220, 5926, 765, 220, 17521, 765, 220, 14777, 17, 765, 220, 8259, 2421, 765, 220, 21824, 4103], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: 3*4^x\n\n3 | 12 | 48 | 192 | 768 | 3072 | 12288 | 49152", "id": 480}, {"char_len": 31, "rule": "3^x+0", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 765, 220, 18, 765, 220, 24, 765, 220, 1544], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+0\n\n1 | 3 | 9 | 27", "id": 481}, {"char_len": 45, "rule": "2^(x+2)+0", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 17, 7405, 15, 271, 19, 91, 23, 91, 845, 91, 843, 91, 1227, 91, 4386, 91, 4146, 91, 8358], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+2)+0\n\n4|8|16|32|64|128|256|512", "id": 482}, {"char_len": 68, "rule": "4^x+0", "tokens": [791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 11, 220, 19, 11, 220, 845, 11, 220, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927, 11, 220, 14274, 8929], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The rule: 4^x+0\n\n1, 4, 16, 64, 256, 1024, 4096, 16384, 65536, 262144", "id": 483}, {"char_len": 85, "rule": "4*4^x+19", "tokens": [791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 777, 271, 1419, 262, 220, 1758, 262, 220, 6069, 262, 220, 14417, 262, 220, 6849, 18, 262, 220, 17337, 20, 262, 220, 10513, 2839, 262, 220, 15573, 2131, 262, 220, 14274, 9892], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The rule: 4*4^x+19\n\n23 35 83 275 1043 4115 16403 65555 262163", "id": 484}, {"char_len": 32, "rule": "3^x+0", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 197, 18, 197, 24, 197, 1544, 197, 5932, 197, 14052], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+0\n\n1\t3\t9\t27\t81\t243", "id": 485}, {"char_len": 48, "rule": "x+0+17", "tokens": [791, 6037, 25, 865, 10, 15, 10, 1114, 271, 1114, 11, 220, 972, 11, 220, 777, 11, 220, 508, 11, 220, 1691, 11, 220, 1313, 11, 220, 1419, 11, 220, 1187], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+17\n\n17, 18, 19, 20, 21, 22, 23, 24", "id": 486}, {"char_len": 38, "rule": "4*3^x+0", "tokens": [791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 15, 271, 19, 220, 717, 220, 1927, 220, 6640, 220, 16723, 220, 24425], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "The rule: 4*3^x+0\n\n4 12 36 108 324 972", "id": 487}, {"char_len": 53, "rule": "4^(x+4)+3", "tokens": [791, 6037, 25, 220, 19, 13571, 87, 10, 19, 7405, 18, 271, 15537, 91, 4278, 22, 91, 12378, 24, 91, 9892, 4044, 91, 15573, 2137, 91, 14274, 10288], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: 4^(x+4)+3\n\n259|1027|4099|16387|65539|262147", "id": 488}, {"char_len": 66, "rule": "x^3+0", "tokens": [791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 1174, 220, 16, 1174, 220, 23, 1174, 220, 1544, 1174, 220, 1227, 1174, 220, 6549, 1174, 220, 12463, 1174, 220, 16522, 1174, 220, 8358, 1174, 220, 22194], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+0\n\n0 , 1 , 8 , 27 , 64 , 125 , 216 , 343 , 512 , 729", "id": 489}, {"char_len": 43, "rule": "x+0*46", "tokens": [791, 6037, 25, 865, 10, 15, 9, 2790, 271, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*46\n\n0, 1, 2, 3, 4, 5, 6, 7, 8", "id": 490}, {"char_len": 43, "rule": "x+0*39", "tokens": [791, 6037, 25, 865, 10, 15, 9, 2137, 271, 15, 765, 220, 16, 765, 220, 17, 765, 220, 18, 765, 220, 19, 765, 220, 20, 765, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*39\n\n0 | 1 | 2 | 3 | 4 | 5 | 6", "id": 491}, {"char_len": 27, "rule": "x^2+0", "tokens": [791, 6037, 25, 865, 61, 17, 10, 15, 271, 15, 91, 16, 91, 19, 91, 24, 91, 845], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "arithmetic_sequence", "txt": "The rule: x^2+0\n\n0|1|4|9|16", "id": 492}, {"char_len": 41, "rule": "x^2+17", "tokens": [791, 6037, 25, 865, 61, 17, 10, 1114, 271, 1114, 197, 972, 197, 1691, 197, 1627, 197, 1644, 197, 2983, 197, 4331, 197, 2287], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: x^2+17\n\n17\t18\t21\t26\t33\t42\t53\t66", "id": 493}, {"char_len": 63, "rule": "3^(x+3)+0", "tokens": [791, 6037, 25, 220, 18, 13571, 87, 10, 18, 7405, 15, 271, 1544, 11, 220, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16, 11, 220, 5162, 6069, 11, 220, 20615, 2491], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The rule: 3^(x+3)+0\n\n27, 81, 243, 729, 2187, 6561, 19683, 59049", "id": 494}, {"char_len": 62, "rule": "2*3^x+81", "tokens": [791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 5932, 271, 6069, 220, 4044, 220, 1484, 220, 8878, 220, 14052, 220, 19282, 220, 9800, 24, 220, 19697, 20, 220, 9413, 2839, 220, 20077, 2618], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: 2*3^x+81\n\n83 87 99 135 243 567 1539 4455 13203 39447", "id": 495}, {"char_len": 40, "rule": "x+0+25", "tokens": [791, 6037, 25, 865, 10, 15, 10, 914, 271, 914, 405, 1627, 405, 1544, 405, 1591, 405, 1682, 405, 966], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+25\n\n25->26->27->28->29->30", "id": 496}, {"char_len": 30, "rule": "x+0*3", "tokens": [791, 6037, 25, 865, 10, 15, 9, 18, 271, 15, 201, 16, 201, 17, 201, 18, 201, 19, 201, 20, 201, 21], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*3\n\n0\r1\r2\r3\r4\r5\r6", "id": 497}, {"char_len": 43, "rule": "x+0*12", "tokens": [791, 6037, 25, 865, 10, 15, 9, 717, 271, 15, 220, 220, 16, 220, 220, 17, 220, 220, 18, 220, 220, 19, 220, 220, 20, 220, 220, 21, 220, 220, 22, 220, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*12\n\n0 1 2 3 4 5 6 7 8", "id": 498}, {"char_len": 34, "rule": "16*x+0", "tokens": [791, 6037, 25, 220, 845, 18988, 10, 15, 271, 15, 220, 845, 220, 843, 220, 2166, 220, 1227, 220, 1490], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: 16*x+0\n\n0 16 32 48 64 80", "id": 499}, {"char_len": 32, "rule": "x+0*7", "tokens": [791, 6037, 25, 865, 10, 15, 9, 22, 271, 15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 198, 22], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*7\n\n0\n1\n2\n3\n4\n5\n6\n7", "id": 500}, {"char_len": 30, "rule": "2^x+0", "tokens": [791, 6037, 25, 220, 17, 61, 87, 10, 15, 271, 16, 201, 17, 201, 19, 201, 23, 201, 845, 201, 843], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "The rule: 2^x+0\n\n1\r2\r4\r8\r16\r32", "id": 501}, {"char_len": 39, "rule": "x+71+20", "tokens": [791, 6037, 25, 865, 10, 6028, 10, 508, 271, 5925, 220, 6083, 220, 6365, 220, 6281, 220, 2721, 220, 4161, 220, 3534], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x+71+20\n\n91 92 93 94 95 96 97", "id": 502}, {"char_len": 61, "rule": "2^(x+3)+42", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 2983, 271, 1135, 11, 2970, 11, 5728, 11, 7461, 11, 8258, 11, 17690, 11, 22303, 11, 7461, 21, 11, 12652, 15, 11, 19288, 23], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+3)+42\n\n50,58,74,106,170,298,554,1066,2090,4138", "id": 503}, {"char_len": 41, "rule": "39*x+0", "tokens": [791, 6037, 25, 220, 2137, 18988, 10, 15, 271, 15, 11, 2137, 11, 2495, 11, 8546, 11, 10132, 11, 6280, 11, 11727], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 39*x+0\n\n0,39,78,117,156,195,234", "id": 504}, {"char_len": 29, "rule": "x+0*19", "tokens": [791, 6037, 25, 865, 10, 15, 9, 777, 271, 15, 197, 16, 197, 17, 197, 18, 197, 19, 197, 20], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*19\n\n0\t1\t2\t3\t4\t5", "id": 505}, {"char_len": 51, "rule": "3*2^x+99", "tokens": [791, 6037, 25, 220, 18, 9, 17, 61, 87, 10, 1484, 271, 4278, 11, 6550, 11, 5037, 11, 4513, 11, 10288, 11, 6280, 11, 17335, 11, 21884], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 3*2^x+99\n\n102,105,111,123,147,195,291,483", "id": 506}, {"char_len": 47, "rule": "39*(x+8)", "tokens": [791, 6037, 25, 220, 2137, 6737, 87, 10, 23, 696, 13384, 765, 220, 18113, 765, 220, 15515, 765, 220, 16371, 765, 220, 20304], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "The rule: 39*(x+8)\n\n312 | 351 | 390 | 429 | 468", "id": 507}, {"char_len": 37, "rule": "2^(x+4)+25", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 914, 271, 3174, 220, 220, 3226, 220, 220, 4578, 220, 220, 9800], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+4)+25\n\n41 57 89 153", "id": 508}, {"char_len": 47, "rule": "2^(x+2)+88", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 17, 7405, 2421, 271, 6083, 201, 4161, 201, 6849, 201, 4364, 201, 9756, 201, 12463, 201, 17451], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+2)+88\n\n92\r96\r104\r120\r152\r216\r344", "id": 509}, {"char_len": 38, "rule": "x+0*6", "tokens": [791, 6037, 25, 865, 10, 15, 9, 21, 271, 15, 262, 220, 16, 262, 220, 17, 262, 220, 18, 262, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*6\n\n0 1 2 3 4", "id": 510}, {"char_len": 79, "rule": "2^x+52", "tokens": [791, 6037, 25, 220, 17, 61, 87, 10, 4103, 271, 4331, 3929, 220, 4370, 3929, 220, 3487, 3929, 220, 1399, 3929, 220, 2614, 3929, 220, 5833, 3929, 220, 8027, 3929, 220, 5245, 3929, 220, 14498], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: 2^x+52\n\n53 --> 54 --> 56 --> 60 --> 68 --> 84 --> 116 --> 180 --> 308", "id": 511}, {"char_len": 29, "rule": "2*4^x+0", "tokens": [791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 15, 271, 17, 91, 23, 91, 843, 91, 4386], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: 2*4^x+0\n\n2|8|32|128", "id": 512}, {"char_len": 47, "rule": "x+0+19", "tokens": [791, 6037, 25, 865, 10, 15, 10, 777, 271, 777, 197, 508, 197, 1691, 197, 1313, 197, 1419, 197, 1187, 197, 914, 197, 1627, 197, 1544, 197, 1591], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+19\n\n19\t20\t21\t22\t23\t24\t25\t26\t27\t28", "id": 513}, {"char_len": 48, "rule": "9*x+23", "tokens": [791, 6037, 25, 220, 24, 18988, 10, 1419, 271, 1419, 11, 843, 11, 3174, 11, 1135, 11, 2946, 11, 2614, 11, 2813, 11, 4218, 11, 2721, 11, 6849], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: 9*x+23\n\n23,32,41,50,59,68,77,86,95,104", "id": 514}, {"char_len": 39, "rule": "x^4+0", "tokens": [791, 6037, 25, 865, 61, 19, 10, 15, 271, 15, 11, 220, 16, 11, 220, 845, 11, 220, 5932, 11, 220, 4146, 11, 220, 15894], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: x^4+0\n\n0, 1, 16, 81, 256, 625", "id": 515}, {"char_len": 33, "rule": "4*4^x+0", "tokens": [791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271, 19, 271, 845, 271, 1227, 271, 4146], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "The rule: 4*4^x+0\n\n4\n\n16\n\n64\n\n256", "id": 516}, {"char_len": 41, "rule": "x+38+30", "tokens": [791, 6037, 25, 865, 10, 1987, 10, 966, 271, 2614, 674, 220, 3076, 674, 220, 2031, 674, 220, 6028, 674, 220, 5332], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x+38+30\n\n68 # 69 # 70 # 71 # 72", "id": 517}, {"char_len": 63, "rule": "4^x+46", "tokens": [791, 6037, 25, 220, 19, 61, 87, 10, 2790, 271, 2618, 220, 1135, 220, 5538, 220, 5120, 220, 13121, 220, 7699, 15, 220, 17448, 17, 220, 10513, 966, 220, 15573, 6086, 220, 14274, 7028], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 4^x+46\n\n47 50 62 110 302 1070 4142 16430 65582 262190", "id": 518}, {"char_len": 45, "rule": "2^(x+4)+0", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271, 845, 674, 220, 843, 674, 220, 1227, 674, 220, 4386, 674, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+4)+0\n\n16 # 32 # 64 # 128 # 256", "id": 519}, {"char_len": 38, "rule": "x+67*48", "tokens": [791, 6037, 25, 865, 10, 3080, 9, 2166, 271, 14423, 21, 198, 14423, 22, 198, 14423, 23, 198, 14423, 24], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: x+67*48\n\n3216\n3217\n3218\n3219", "id": 520}, {"char_len": 49, "rule": "2^(x+3)+0", "tokens": [791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 15, 271, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227, 11, 220, 4386, 11, 220, 4146, 11, 220, 8358], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: 2^(x+3)+0\n\n8, 16, 32, 64, 128, 256, 512", "id": 521}, {"char_len": 45, "rule": "46*(x+1)", "tokens": [791, 6037, 25, 220, 2790, 6737, 87, 10, 16, 696, 2790, 220, 6083, 220, 10350, 220, 10336, 220, 9870, 220, 16660, 220, 15805], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "The rule: 46*(x+1)\n\n46 92 138 184 230 276 322", "id": 522}, {"char_len": 62, "rule": "31*(x+3)", "tokens": [791, 6037, 25, 220, 2148, 6737, 87, 10, 18, 696, 6365, 271, 8874, 271, 9992, 271, 9714, 271, 13460, 271, 14185, 271, 17267, 271, 12226, 271, 16546], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 31*(x+3)\n\n93\n\n124\n\n155\n\n186\n\n217\n\n248\n\n279\n\n310\n\n341", "id": 523}, {"char_len": 47, "rule": "3*2^x", "tokens": [791, 6037, 25, 220, 18, 9, 17, 61, 87, 271, 18, 262, 220, 21, 262, 220, 717, 262, 220, 1187, 262, 220, 2166, 262, 220, 4161], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "The rule: 3*2^x\n\n3 6 12 24 48 96", "id": 524}, {"char_len": 55, "rule": "37*(x+7)", "tokens": [791, 6037, 25, 220, 1806, 6737, 87, 10, 22, 696, 15537, 198, 17408, 198, 8765, 198, 14648, 198, 18501, 198, 14870, 198, 21235, 198, 21312, 198, 14148], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 37*(x+7)\n\n259\n296\n333\n370\n407\n444\n481\n518\n555", "id": 525}, {"char_len": 36, "rule": "2*2^x", "tokens": [791, 6037, 25, 220, 17, 9, 17, 61, 87, 271, 17, 11, 220, 19, 11, 220, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "The rule: 2*2^x\n\n2, 4, 8, 16, 32, 64", "id": 526}, {"char_len": 41, "rule": "x+0+29", "tokens": [791, 6037, 25, 865, 10, 15, 10, 1682, 271, 1682, 220, 966, 220, 2148, 220, 843, 220, 1644, 220, 1958, 220, 1758, 220, 1927], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: x+0+29\n\n29 30 31 32 33 34 35 36", "id": 527}, {"char_len": 33, "rule": "x+0*27", "tokens": [791, 6037, 25, 865, 10, 15, 9, 1544, 271, 15, 220, 16, 220, 17, 220, 18, 220, 19, 220, 20, 220, 21, 220, 22], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: x+0*27\n\n0 1 2 3 4 5 6 7", "id": 528}, {"char_len": 63, "rule": "x+83*45", "tokens": [791, 6037, 25, 865, 10, 6069, 9, 1774, 271, 18017, 20, 201, 18017, 21, 201, 18017, 22, 201, 18017, 23, 201, 18017, 24, 201, 18265, 15, 201, 18265, 16, 201, 18265, 17, 201, 18265, 18], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The rule: x+83*45\n\n3735\r3736\r3737\r3738\r3739\r3740\r3741\r3742\r3743", "id": 529}, {"char_len": 45, "rule": "4*2^x+7", "tokens": [791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 22, 271, 806, 201, 868, 201, 1419, 201, 2137, 201, 6028, 201, 8878, 201, 15666, 201, 21851], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 4*2^x+7\n\n11\r15\r23\r39\r71\r135\r263\r519", "id": 530}, {"char_len": 40, "rule": "4^(x+3)+0", "tokens": [791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 15, 271, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "The rule: 4^(x+3)+0\n\n64, 256, 1024, 4096", "id": 531}, {"char_len": 94, "rule": "3^x+90", "tokens": [791, 6037, 25, 220, 18, 61, 87, 10, 1954, 271, 5925, 3929, 220, 6365, 3929, 220, 1484, 3929, 220, 8546, 3929, 220, 11123, 3929, 220, 8765, 3929, 220, 18831, 3929, 220, 14206, 22, 3929, 220, 23467, 16, 3929, 220, 4468, 5958], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The rule: 3^x+90\n\n91 --> 93 --> 99 --> 117 --> 171 --> 333 --> 819 --> 2277 --> 6651 --> 19773", "id": 532}, {"char_len": 67, "rule": "3*2^x", "tokens": [791, 6037, 25, 220, 18, 9, 17, 61, 87, 271, 18, 1174, 220, 21, 1174, 220, 717, 1174, 220, 1187, 1174, 220, 2166, 1174, 220, 4161, 1174, 220, 5926, 1174, 220, 12910, 1174, 220, 17521, 1174, 220, 9800, 21], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The rule: 3*2^x\n\n3 , 6 , 12 , 24 , 48 , 96 , 192 , 384 , 768 , 1536", "id": 533}, {"char_len": 57, "rule": "3^(x+4)+0", "tokens": [791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 3929, 220, 14052, 3929, 220, 22194, 3929, 220, 13302, 22, 3929, 220, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The rule: 3^(x+4)+0\n\n81 --> 243 --> 729 --> 2187 --> 6561", "id": 534}, {"char_len": 30, "rule": "4^x+82", "tokens": [791, 6037, 25, 220, 19, 61, 87, 10, 6086, 271, 6069, 11, 4218, 11, 3264, 11, 10465], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "arithmetic_sequence", "txt": "The rule: 4^x+82\n\n83,86,98,146", "id": 535}, {"char_len": 73, "rule": "4^(x+3)+81", "tokens": [791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 5932, 271, 9591, 271, 17609, 271, 5120, 20, 271, 19561, 22, 271, 10513, 2397, 271, 20744, 1114, 271, 14274, 11057, 271, 6849, 24678, 22], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The rule: 4^(x+3)+81\n\n145\n\n337\n\n1105\n\n4177\n\n16465\n\n65617\n\n262225\n\n1048657", "id": 536}, {"char_len": 40, "rule": "31*x+45", "tokens": [791, 6037, 25, 220, 2148, 18988, 10, 1774, 271, 1774, 11, 220, 4767, 11, 220, 7699, 11, 220, 10350, 11, 220, 11739], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 31*x+45\n\n45, 76, 107, 138, 169", "id": 537}, {"char_len": 48, "rule": "x^3+0", "tokens": [791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 91, 16, 91, 23, 91, 1544, 91, 1227, 91, 6549, 91, 12463, 91, 16522, 91, 8358, 91, 22194], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+0\n\n0|1|8|27|64|125|216|343|512|729", "id": 538}, {"char_len": 36, "rule": "x^3+0", "tokens": [791, 6037, 25, 865, 61, 18, 10, 15, 271, 15, 198, 16, 198, 23, 198, 1544, 198, 1227, 198, 6549, 198, 12463], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: x^3+0\n\n0\n1\n8\n27\n64\n125\n216", "id": 539}, {"char_len": 26, "rule": "4*2^x", "tokens": [791, 6037, 25, 220, 19, 9, 17, 61, 87, 271, 19, 197, 23, 197, 845, 197, 843], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "arithmetic_sequence", "txt": "The rule: 4*2^x\n\n4\t8\t16\t32", "id": 540}, {"char_len": 56, "rule": "4^(x+3)+0", "tokens": [791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 15, 271, 1227, 11, 4146, 11, 4278, 19, 11, 12378, 21, 11, 9892, 5833, 11, 15573, 1927, 11, 14274, 8929], "tokenizer": "cl100k_base", "tokens_len": 30, "data_type": "arithmetic_sequence", "txt": "The rule: 4^(x+3)+0\n\n64,256,1024,4096,16384,65536,262144", "id": 541}, {"char_len": 41, "rule": "21*x+13", "tokens": [791, 6037, 25, 220, 1691, 18988, 10, 1032, 271, 1032, 11, 1958, 11, 2131, 11, 4767, 11, 3534, 11, 8899, 11, 10125], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "The rule: 21*x+13\n\n13,34,55,76,97,118,139", "id": 542}, {"char_len": 34, "rule": "44*(x+0)", "tokens": [791, 6037, 25, 220, 2096, 6737, 87, 10, 15, 696, 15, 405, 2096, 405, 2421, 405, 9413], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "arithmetic_sequence", "txt": "The rule: 44*(x+0)\n\n0->44->88->132", "id": 543}, {"char_len": 56, "rule": "50*x+17", "tokens": [791, 6037, 25, 220, 1135, 18988, 10, 1114, 271, 1114, 197, 3080, 197, 8546, 197, 11515, 197, 13460, 197, 16567, 197, 16718, 197, 18775, 197, 19561, 197, 20419], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: 50*x+17\n\n17\t67\t117\t167\t217\t267\t317\t367\t417\t467", "id": 544}, {"char_len": 50, "rule": "2*x+74", "tokens": [791, 6037, 25, 220, 17, 18988, 10, 5728, 271, 5728, 765, 220, 4767, 765, 220, 2495, 765, 220, 1490, 765, 220, 6086, 765, 220, 5833, 765, 220, 4218], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The rule: 2*x+74\n\n74 | 76 | 78 | 80 | 82 | 84 | 86", "id": 545}, {"char_len": 49, "rule": "48*x+0", "tokens": [791, 6037, 25, 220, 2166, 18988, 10, 15, 271, 15, 91, 2166, 91, 4161, 91, 8929, 91, 5926, 91, 8273, 91, 15287, 91, 17014, 91, 12910], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "The rule: 48*x+0\n\n0|48|96|144|192|240|288|336|384", "id": 546}, {"char_len": 36, "rule": "x+18+33", "tokens": [791, 6037, 25, 865, 10, 972, 10, 1644, 271, 3971, 91, 4103, 91, 4331, 91, 4370, 91, 2131, 91, 3487], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "The rule: x+18+33\n\n51|52|53|54|55|56", "id": 547}, {"char_len": 52, "rule": "6*x+0", "tokens": [791, 6037, 25, 220, 21, 18988, 10, 15, 271, 15, 1174, 220, 21, 1174, 220, 717, 1174, 220, 972, 1174, 220, 1187, 1174, 220, 966, 1174, 220, 1927, 1174, 220, 2983], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The rule: 6*x+0\n\n0 , 6 , 12 , 18 , 24 , 30 , 36 , 42", "id": 548}, {"char_len": 87, "rule": "10*(x+10)", "tokens": [791, 6037, 25, 220, 605, 6737, 87, 10, 605, 696, 1041, 262, 220, 5120, 262, 220, 4364, 262, 220, 5894, 262, 220, 6860, 262, 220, 3965, 262, 220, 6330, 262, 220, 8258, 262, 220, 5245, 262, 220, 7028], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The rule: 10*(x+10)\n\n100 110 120 130 140 150 160 170 180 190", "id": 549}, {"char_len": 38, "rule": "3*3^x", "tokens": [18, 674, 220, 24, 674, 220, 1544, 674, 220, 5932, 674, 220, 14052, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "3 # 9 # 27 # 81 # 243The rule: 3*3^x\n\n", "id": 550}, {"char_len": 65, "rule": "42*(x+9)", "tokens": [19166, 765, 220, 12819, 765, 220, 20911, 765, 220, 18048, 765, 220, 22048, 765, 220, 20691, 765, 220, 18660, 765, 220, 22768, 791, 6037, 25, 220, 2983, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "378 | 420 | 462 | 504 | 546 | 588 | 630 | 672The rule: 42*(x+9)\n\n", "id": 551}, {"char_len": 57, "rule": "x+19*20", "tokens": [13897, 11, 220, 19162, 11, 220, 18781, 11, 220, 19230, 11, 220, 12910, 11, 220, 18695, 11, 220, 16481, 11, 220, 20062, 791, 6037, 25, 865, 10, 777, 9, 508, 271], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "380, 381, 382, 383, 384, 385, 386, 387The rule: x+19*20\n\n", "id": 552}, {"char_len": 54, "rule": "2*2^x+24", "tokens": [1627, 11, 1591, 11, 843, 11, 1272, 11, 3487, 11, 2421, 11, 9756, 11, 11209, 11, 21600, 11, 6849, 23, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 1187, 271], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "26,28,32,40,56,88,152,280,536,1048The rule: 2*2^x+24\n\n", "id": 553}, {"char_len": 32, "rule": "x^2+68", "tokens": [2614, 11, 220, 3076, 11, 220, 5332, 11, 220, 2813, 791, 6037, 25, 865, 61, 17, 10, 2614, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "68, 69, 72, 77The rule: x^2+68\n\n", "id": 554}, {"char_len": 58, "rule": "32*(x+0)", "tokens": [15, 405, 843, 405, 1227, 405, 4161, 405, 4386, 405, 6330, 405, 5926, 405, 10697, 405, 4146, 791, 6037, 25, 220, 843, 6737, 87, 10, 15, 696], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "0->32->64->96->128->160->192->224->256The rule: 32*(x+0)\n\n", "id": 555}, {"char_len": 58, "rule": "3*3^x", "tokens": [18, 220, 220, 24, 220, 220, 1544, 220, 220, 5932, 220, 220, 14052, 220, 220, 22194, 220, 220, 13302, 22, 220, 220, 20744, 16, 220, 220, 5162, 6069, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "3 9 27 81 243 729 2187 6561 19683The rule: 3*3^x\n\n", "id": 556}, {"char_len": 34, "rule": "2*3^x", "tokens": [17, 11, 220, 21, 11, 220, 972, 11, 220, 4370, 11, 220, 10674, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "2, 6, 18, 54, 162The rule: 2*3^x\n\n", "id": 557}, {"char_len": 61, "rule": "3*2^x+70", "tokens": [5958, 1174, 220, 4767, 1174, 220, 6086, 1174, 220, 6281, 1174, 220, 8899, 1174, 220, 11247, 1174, 220, 14274, 1174, 220, 20555, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 10, 2031, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "73 , 76 , 82 , 94 , 118 , 166 , 262 , 454The rule: 3*2^x+70\n\n", "id": 558}, {"char_len": 48, "rule": "x+66*18", "tokens": [8899, 23, 201, 8899, 24, 201, 9079, 15, 201, 9079, 16, 201, 9079, 17, 201, 9079, 18, 791, 6037, 25, 865, 10, 2287, 9, 972, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "1188\r1189\r1190\r1191\r1192\r1193The rule: x+66*18\n\n", "id": 559}, {"char_len": 37, "rule": "4^x+15", "tokens": [845, 405, 777, 405, 2148, 405, 4643, 405, 15828, 791, 6037, 25, 220, 19, 61, 87, 10, 868, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "16->19->31->79->271The rule: 4^x+15\n\n", "id": 560}, {"char_len": 53, "rule": "47*x+0", "tokens": [15, 91, 2618, 91, 6281, 91, 9335, 91, 9367, 91, 12422, 91, 16544, 91, 18196, 91, 18322, 91, 19711, 791, 6037, 25, 220, 2618, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "0|47|94|141|188|235|282|329|376|423The rule: 47*x+0\n\n", "id": 561}, {"char_len": 35, "rule": "x+0*21", "tokens": [15, 201, 16, 201, 17, 201, 18, 201, 19, 201, 20, 201, 21, 201, 22, 201, 23, 791, 6037, 25, 865, 10, 15, 9, 1691, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "0\r1\r2\r3\r4\r5\r6\r7\r8The rule: x+0*21\n\n", "id": 562}, {"char_len": 45, "rule": "3*3^x+78", "tokens": [5932, 3929, 220, 4044, 3929, 220, 6550, 3929, 220, 11068, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 2495, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "81 --> 87 --> 105 --> 159The rule: 3*3^x+78\n\n", "id": 563}, {"char_len": 59, "rule": "37*x+0", "tokens": [15, 674, 220, 1806, 674, 220, 5728, 674, 220, 5037, 674, 220, 10410, 674, 220, 9741, 674, 220, 9716, 674, 220, 15537, 791, 6037, 25, 220, 1806, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "0 # 37 # 74 # 111 # 148 # 185 # 222 # 259The rule: 37*x+0\n\n", "id": 564}, {"char_len": 52, "rule": "x+0+47", "tokens": [2618, 11, 220, 2166, 11, 220, 2491, 11, 220, 1135, 11, 220, 3971, 11, 220, 4103, 11, 220, 4331, 11, 220, 4370, 11, 220, 2131, 791, 6037, 25, 865, 10, 15, 10, 2618, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "47, 48, 49, 50, 51, 52, 53, 54, 55The rule: x+0+47\n\n", "id": 565}, {"char_len": 37, "rule": "x+63+28", "tokens": [5925, 11, 220, 6083, 11, 220, 6365, 11, 220, 6281, 11, 220, 2721, 791, 6037, 25, 865, 10, 5495, 10, 1591, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "91, 92, 93, 94, 95The rule: x+63+28\n\n", "id": 566}, {"char_len": 25, "rule": "x+0*15", "tokens": [15, 220, 16, 220, 17, 220, 18, 791, 6037, 25, 865, 10, 15, 9, 868, 271], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "arithmetic_sequence", "txt": "0 1 2 3The rule: x+0*15\n\n", "id": 567}, {"char_len": 32, "rule": "2*3^x+0", "tokens": [17, 91, 21, 91, 972, 91, 4370, 91, 10674, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "2|6|18|54|162The rule: 2*3^x+0\n\n", "id": 568}, {"char_len": 68, "rule": "4^x+1", "tokens": [17, 11, 220, 20, 11, 220, 1114, 11, 220, 2397, 11, 220, 15574, 11, 220, 4278, 20, 11, 220, 12378, 22, 11, 220, 9892, 5313, 11, 220, 15573, 1806, 11, 220, 14274, 9591, 791, 6037, 25, 220, 19, 61, 87, 10, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "2, 5, 17, 65, 257, 1025, 4097, 16385, 65537, 262145The rule: 4^x+1\n\n", "id": 569}, {"char_len": 49, "rule": "2*2^x+26", "tokens": [1591, 11, 966, 11, 1958, 11, 2983, 11, 2970, 11, 1954, 11, 10559, 11, 16544, 11, 22600, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "28,30,34,42,58,90,154,282,538The rule: 2*2^x+26\n\n", "id": 570}, {"char_len": 44, "rule": "13*x+0", "tokens": [15, 674, 220, 1032, 674, 220, 1627, 674, 220, 2137, 674, 220, 4103, 674, 220, 2397, 791, 6037, 25, 220, 1032, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "0 # 13 # 26 # 39 # 52 # 65The rule: 13*x+0\n\n", "id": 571}, {"char_len": 35, "rule": "x+0+21", "tokens": [1691, 201, 1313, 201, 1419, 201, 1187, 201, 914, 201, 1627, 791, 6037, 25, 865, 10, 15, 10, 1691, 271], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "21\r22\r23\r24\r25\r26The rule: x+0+21\n\n", "id": 572}, {"char_len": 45, "rule": "x+10+12", "tokens": [1313, 405, 1419, 405, 1187, 405, 914, 405, 1627, 405, 1544, 405, 1591, 791, 6037, 25, 865, 10, 605, 10, 717, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "22->23->24->25->26->27->28The rule: x+10+12\n\n", "id": 573}, {"char_len": 48, "rule": "15*(x+8)", "tokens": [4364, 220, 220, 8878, 220, 220, 3965, 220, 220, 10680, 220, 220, 5245, 220, 220, 6280, 791, 6037, 25, 220, 868, 6737, 87, 10, 23, 696], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "120 135 150 165 180 195The rule: 15*(x+8)\n\n", "id": 574}, {"char_len": 51, "rule": "4^x+90", "tokens": [5925, 197, 6281, 197, 7461, 197, 10559, 197, 18061, 197, 5037, 19, 197, 19770, 21, 197, 10513, 5728, 791, 6037, 25, 220, 19, 61, 87, 10, 1954, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "91\t94\t106\t154\t346\t1114\t4186\t16474The rule: 4^x+90\n\n", "id": 575}, {"char_len": 68, "rule": "3^(x+4)+18", "tokens": [1484, 220, 15602, 220, 23619, 220, 8610, 20, 220, 23480, 24, 220, 4468, 1721, 220, 20615, 3080, 220, 11242, 10680, 220, 20823, 22094, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 972, 271], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "99 261 747 2205 6579 19701 59067 177165 531459The rule: 3^(x+4)+18\n\n", "id": 576}, {"char_len": 32, "rule": "x+0*9", "tokens": [15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 198, 22, 791, 6037, 25, 865, 10, 15, 9, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "0\n1\n2\n3\n4\n5\n6\n7The rule: x+0*9\n\n", "id": 577}, {"char_len": 28, "rule": "x+0*14", "tokens": [15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 791, 6037, 25, 865, 10, 15, 9, 975, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "0, 1, 2, 3The rule: x+0*14\n\n", "id": 578}, {"char_len": 51, "rule": "x+0*22", "tokens": [15, 674, 220, 16, 674, 220, 17, 674, 220, 18, 674, 220, 19, 674, 220, 20, 674, 220, 21, 674, 220, 22, 674, 220, 23, 791, 6037, 25, 865, 10, 15, 9, 1313, 271], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "0 # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8The rule: x+0*22\n\n", "id": 579}, {"char_len": 52, "rule": "47*x+0", "tokens": [15, 11, 220, 2618, 11, 220, 6281, 11, 220, 9335, 11, 220, 9367, 11, 220, 12422, 11, 220, 16544, 11, 220, 18196, 791, 6037, 25, 220, 2618, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "0, 47, 94, 141, 188, 235, 282, 329The rule: 47*x+0\n\n", "id": 580}, {"char_len": 89, "rule": "3*3^x+26", "tokens": [1682, 262, 220, 1758, 262, 220, 4331, 262, 220, 7699, 262, 220, 16955, 262, 220, 23532, 262, 220, 12425, 18, 262, 220, 23654, 22, 262, 220, 4468, 2545, 262, 220, 20615, 2075, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "29 35 53 107 269 755 2213 6587 19709 59075The rule: 3*3^x+26\n\n", "id": 581}, {"char_len": 47, "rule": "4*3^x", "tokens": [19, 271, 717, 271, 1927, 271, 6640, 271, 16723, 271, 24425, 271, 17335, 21, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "arithmetic_sequence", "txt": "4\n\n12\n\n36\n\n108\n\n324\n\n972\n\n2916The rule: 4*3^x\n\n", "id": 582}, {"char_len": 37, "rule": "2^(x+3)+25", "tokens": [1644, 197, 3174, 197, 3226, 197, 4578, 197, 9800, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 914, 271], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "33\t41\t57\t89\t153The rule: 2^(x+3)+25\n\n", "id": 583}, {"char_len": 59, "rule": "4*2^x+24", "tokens": [1591, 11, 220, 843, 11, 220, 1272, 11, 220, 3487, 11, 220, 2421, 11, 220, 9756, 11, 220, 11209, 11, 220, 21600, 11, 220, 6849, 23, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 1187, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "28, 32, 40, 56, 88, 152, 280, 536, 1048The rule: 4*2^x+24\n\n", "id": 584}, {"char_len": 61, "rule": "15*(x+5)", "tokens": [2075, 11, 220, 1954, 11, 220, 6550, 11, 220, 4364, 11, 220, 8878, 11, 220, 3965, 11, 220, 10680, 11, 220, 5245, 11, 220, 6280, 791, 6037, 25, 220, 868, 6737, 87, 10, 20, 696], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "75, 90, 105, 120, 135, 150, 165, 180, 195The rule: 15*(x+5)\n\n", "id": 585}, {"char_len": 60, "rule": "41*(x+10)", "tokens": [14487, 201, 20360, 201, 21776, 201, 21876, 201, 23402, 201, 21385, 201, 20744, 201, 25388, 201, 25527, 201, 25659, 791, 6037, 25, 220, 3174, 6737, 87, 10, 605, 696], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "410\r451\r492\r533\r574\r615\r656\r697\r738\r779The rule: 41*(x+10)\n\n", "id": 586}, {"char_len": 32, "rule": "34*x+41", "tokens": [3174, 201, 2075, 201, 7743, 201, 10290, 791, 6037, 25, 220, 1958, 18988, 10, 3174, 271], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "arithmetic_sequence", "txt": "41\r75\r109\r143The rule: 34*x+41\n\n", "id": 587}, {"char_len": 65, "rule": "x+0+44", "tokens": [2096, 674, 220, 1774, 674, 220, 2790, 674, 220, 2618, 674, 220, 2166, 674, 220, 2491, 674, 220, 1135, 674, 220, 3971, 674, 220, 4103, 674, 220, 4331, 791, 6037, 25, 865, 10, 15, 10, 2096, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "44 # 45 # 46 # 47 # 48 # 49 # 50 # 51 # 52 # 53The rule: x+0+44\n\n", "id": 588}, {"char_len": 65, "rule": "3^x+12", "tokens": [1032, 11, 220, 868, 11, 220, 1691, 11, 220, 2137, 11, 220, 6365, 11, 220, 3192, 11, 220, 25021, 11, 220, 13762, 24, 11, 220, 23480, 18, 11, 220, 5162, 2721, 791, 6037, 25, 220, 18, 61, 87, 10, 717, 271], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "13, 15, 21, 39, 93, 255, 741, 2199, 6573, 19695The rule: 3^x+12\n\n", "id": 589}, {"char_len": 49, "rule": "4*4^x+54", "tokens": [2970, 201, 2031, 201, 8899, 201, 12226, 201, 7699, 23, 201, 18136, 15, 201, 10513, 1987, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 4370, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "58\r70\r118\r310\r1078\r4150\r16438The rule: 4*4^x+54\n\n", "id": 590}, {"char_len": 70, "rule": "25*x+0", "tokens": [15, 674, 220, 914, 674, 220, 1135, 674, 220, 2075, 674, 220, 1041, 674, 220, 6549, 674, 220, 3965, 674, 220, 10005, 674, 220, 1049, 674, 220, 11057, 791, 6037, 25, 220, 914, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "0 # 25 # 50 # 75 # 100 # 125 # 150 # 175 # 200 # 225The rule: 25*x+0\n\n", "id": 591}, {"char_len": 26, "rule": "2*3^x", "tokens": [17, 197, 21, 197, 972, 197, 4370, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "arithmetic_sequence", "txt": "2\t6\t18\t54The rule: 2*3^x\n\n", "id": 592}, {"char_len": 58, "rule": "42*(x+9)", "tokens": [19166, 262, 220, 12819, 262, 220, 20911, 262, 220, 18048, 262, 220, 22048, 262, 220, 20691, 791, 6037, 25, 220, 2983, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "378 420 462 504 546 588The rule: 42*(x+9)\n\n", "id": 593}, {"char_len": 55, "rule": "x^3+97", "tokens": [3534, 201, 3264, 201, 6550, 201, 8874, 201, 10718, 201, 9716, 201, 15231, 201, 14868, 201, 21138, 201, 23038, 791, 6037, 25, 865, 61, 18, 10, 3534, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "97\r98\r105\r124\r161\r222\r313\r440\r609\r826The rule: x^3+97\n\n", "id": 594}, {"char_len": 63, "rule": "6*(x+9)", "tokens": [4370, 262, 220, 1399, 262, 220, 2287, 262, 220, 5332, 262, 220, 2495, 262, 220, 5833, 262, 220, 1954, 262, 220, 4161, 791, 6037, 25, 220, 21, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "54 60 66 72 78 84 90 96The rule: 6*(x+9)\n\n", "id": 595}, {"char_len": 41, "rule": "2^x+0", "tokens": [16, 197, 17, 197, 19, 197, 23, 197, 845, 197, 843, 197, 1227, 197, 4386, 197, 4146, 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "1\t2\t4\t8\t16\t32\t64\t128\t256The rule: 2^x+0\n\n", "id": 596}, {"char_len": 27, "rule": "2^x+0", "tokens": [16, 11, 17, 11, 19, 11, 23, 11, 845, 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "1,2,4,8,16The rule: 2^x+0\n\n", "id": 597}, {"char_len": 41, "rule": "x+49+39", "tokens": [2421, 674, 220, 4578, 674, 220, 1954, 674, 220, 5925, 674, 220, 6083, 791, 6037, 25, 865, 10, 2491, 10, 2137, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "88 # 89 # 90 # 91 # 92The rule: x+49+39\n\n", "id": 598}, {"char_len": 55, "rule": "x^2+50", "tokens": [1135, 674, 220, 3971, 674, 220, 4370, 674, 220, 2946, 674, 220, 2287, 674, 220, 2075, 674, 220, 4218, 674, 220, 1484, 791, 6037, 25, 865, 61, 17, 10, 1135, 271], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "50 # 51 # 54 # 59 # 66 # 75 # 86 # 99The rule: x^2+50\n\n", "id": 599}, {"char_len": 45, "rule": "x+57+30", "tokens": [4044, 201, 2421, 201, 4578, 201, 1954, 201, 5925, 201, 6083, 201, 6365, 201, 6281, 201, 2721, 791, 6037, 25, 865, 10, 3226, 10, 966, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "87\r88\r89\r90\r91\r92\r93\r94\r95The rule: x+57+30\n\n", "id": 600}, {"char_len": 42, "rule": "2^(x+2)+78", "tokens": [6086, 11, 220, 4218, 11, 220, 6281, 11, 220, 5120, 11, 220, 10239, 791, 6037, 25, 220, 17, 13571, 87, 10, 17, 7405, 2495, 271], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "82, 86, 94, 110, 142The rule: 2^(x+2)+78\n\n", "id": 601}, {"char_len": 73, "rule": "4^(x+4)+0", "tokens": [4146, 1174, 220, 4278, 19, 1174, 220, 12378, 21, 1174, 220, 9892, 5833, 1174, 220, 15573, 1927, 1174, 220, 14274, 8929, 1174, 220, 6849, 20907, 21, 791, 6037, 25, 220, 19, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "256 , 1024 , 4096 , 16384 , 65536 , 262144 , 1048576The rule: 4^(x+4)+0\n\n", "id": 602}, {"char_len": 40, "rule": "4*4^x+0", "tokens": [19, 198, 845, 198, 1227, 198, 4146, 198, 4278, 19, 198, 12378, 21, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "4\n16\n64\n256\n1024\n4096The rule: 4*4^x+0\n\n", "id": 603}, {"char_len": 66, "rule": "23*x+91", "tokens": [5925, 271, 8011, 271, 10148, 271, 6330, 271, 10750, 271, 11056, 271, 14378, 271, 12326, 271, 14417, 271, 17690, 791, 6037, 25, 220, 1419, 18988, 10, 5925, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "91\n\n114\n\n137\n\n160\n\n183\n\n206\n\n229\n\n252\n\n275\n\n298The rule: 23*x+91\n\n", "id": 604}, {"char_len": 38, "rule": "x+0+10", "tokens": [605, 197, 806, 197, 717, 197, 1032, 197, 975, 197, 868, 197, 845, 791, 6037, 25, 865, 10, 15, 10, 605, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "10\t11\t12\t13\t14\t15\t16The rule: x+0+10\n\n", "id": 605}, {"char_len": 43, "rule": "14*x+0", "tokens": [15, 11, 220, 975, 11, 220, 1591, 11, 220, 2983, 11, 220, 3487, 11, 220, 2031, 11, 220, 5833, 791, 6037, 25, 220, 975, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "0, 14, 28, 42, 56, 70, 84The rule: 14*x+0\n\n", "id": 606}, {"char_len": 48, "rule": "x+0+32", "tokens": [843, 220, 220, 1644, 220, 220, 1958, 220, 220, 1758, 220, 220, 1927, 220, 220, 1806, 220, 220, 1987, 220, 220, 2137, 791, 6037, 25, 865, 10, 15, 10, 843, 271], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "32 33 34 35 36 37 38 39The rule: x+0+32\n\n", "id": 607}, {"char_len": 31, "rule": "20*x+0", "tokens": [15, 11, 220, 508, 11, 220, 1272, 11, 220, 1399, 791, 6037, 25, 220, 508, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "0, 20, 40, 60The rule: 20*x+0\n\n", "id": 608}, {"char_len": 35, "rule": "2^(x+3)+0", "tokens": [23, 11, 845, 11, 843, 11, 1227, 11, 4386, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "arithmetic_sequence", "txt": "8,16,32,64,128The rule: 2^(x+3)+0\n\n", "id": 609}, {"char_len": 48, "rule": "x+82*32", "tokens": [14274, 19, 197, 14274, 20, 197, 14274, 21, 197, 14274, 22, 197, 14274, 23, 197, 14274, 24, 791, 6037, 25, 865, 10, 6086, 9, 843, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "2624\t2625\t2626\t2627\t2628\t2629The rule: x+82*32\n\n", "id": 610}, {"char_len": 40, "rule": "5*x+19", "tokens": [777, 1174, 220, 1187, 1174, 220, 1682, 1174, 220, 1958, 1174, 220, 2137, 791, 6037, 25, 220, 20, 18988, 10, 777, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "19 , 24 , 29 , 34 , 39The rule: 5*x+19\n\n", "id": 611}, {"char_len": 48, "rule": "4*2^x+0", "tokens": [19, 11, 23, 11, 845, 11, 843, 11, 1227, 11, 4386, 11, 4146, 11, 8358, 11, 4278, 19, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 30, "data_type": "arithmetic_sequence", "txt": "4,8,16,32,64,128,256,512,1024The rule: 4*2^x+0\n\n", "id": 612}, {"char_len": 55, "rule": "2*4^x+0", "tokens": [17, 1174, 220, 23, 1174, 220, 843, 1174, 220, 4386, 1174, 220, 8358, 1174, 220, 7854, 23, 1174, 220, 18831, 17, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "2 , 8 , 32 , 128 , 512 , 2048 , 8192The rule: 2*4^x+0\n\n", "id": 613}, {"char_len": 42, "rule": "x+42+16", "tokens": [2970, 3929, 220, 2946, 3929, 220, 1399, 3929, 220, 5547, 791, 6037, 25, 865, 10, 2983, 10, 845, 271], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "arithmetic_sequence", "txt": "58 --> 59 --> 60 --> 61The rule: x+42+16\n\n", "id": 614}, {"char_len": 48, "rule": "x^3+0", "tokens": [15, 220, 16, 220, 23, 220, 1544, 220, 1227, 220, 6549, 220, 12463, 220, 16522, 220, 8358, 220, 22194, 791, 6037, 25, 865, 61, 18, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "0 1 8 27 64 125 216 343 512 729The rule: x^3+0\n\n", "id": 615}, {"char_len": 49, "rule": "4^(x+3)+0", "tokens": [1227, 220, 4146, 220, 4278, 19, 220, 12378, 21, 220, 9892, 5833, 220, 15573, 1927, 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "64 256 1024 4096 16384 65536The rule: 4^(x+3)+0\n\n", "id": 616}, {"char_len": 35, "rule": "2*(x+1)", "tokens": [17, 91, 19, 91, 21, 91, 23, 91, 605, 91, 717, 91, 975, 791, 6037, 25, 220, 17, 6737, 87, 10, 16, 696], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "2|4|6|8|10|12|14The rule: 2*(x+1)\n\n", "id": 617}, {"char_len": 37, "rule": "4*2^x", "tokens": [19, 674, 220, 23, 674, 220, 845, 674, 220, 843, 674, 220, 1227, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "4 # 8 # 16 # 32 # 64The rule: 4*2^x\n\n", "id": 618}, {"char_len": 44, "rule": "18*(x+0)", "tokens": [15, 197, 972, 197, 1927, 197, 4370, 197, 5332, 197, 1954, 197, 6640, 197, 9390, 791, 6037, 25, 220, 972, 6737, 87, 10, 15, 696], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "0\t18\t36\t54\t72\t90\t108\t126The rule: 18*(x+0)\n\n", "id": 619}, {"char_len": 36, "rule": "x+0+45", "tokens": [1774, 11, 220, 2790, 11, 220, 2618, 11, 220, 2166, 11, 220, 2491, 791, 6037, 25, 865, 10, 15, 10, 1774, 271], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "arithmetic_sequence", "txt": "45, 46, 47, 48, 49The rule: x+0+45\n\n", "id": 620}, {"char_len": 111, "rule": "3^(x+4)+0", "tokens": [5932, 3929, 220, 14052, 3929, 220, 22194, 3929, 220, 13302, 22, 3929, 220, 20744, 16, 3929, 220, 5162, 6069, 3929, 220, 20615, 2491, 3929, 220, 11242, 10288, 3929, 220, 20823, 18495, 3929, 220, 11068, 16739, 18, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "81 --> 243 --> 729 --> 2187 --> 6561 --> 19683 --> 59049 --> 177147 --> 531441 --> 1594323The rule: 3^(x+4)+0\n\n", "id": 621}, {"char_len": 37, "rule": "11*(x+3)", "tokens": [1644, 765, 220, 2096, 765, 220, 2131, 765, 220, 2287, 791, 6037, 25, 220, 806, 6737, 87, 10, 18, 696], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "arithmetic_sequence", "txt": "33 | 44 | 55 | 66The rule: 11*(x+3)\n\n", "id": 622}, {"char_len": 43, "rule": "x^4+68", "tokens": [2614, 198, 3076, 198, 5833, 198, 10161, 198, 16723, 198, 25298, 198, 9795, 19, 791, 6037, 25, 865, 61, 19, 10, 2614, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "68\n69\n84\n149\n324\n693\n1364The rule: x^4+68\n\n", "id": 623}, {"char_len": 46, "rule": "3^(x+2)+0", "tokens": [24, 220, 220, 1544, 220, 220, 5932, 220, 220, 14052, 220, 220, 22194, 220, 220, 13302, 22, 791, 6037, 25, 220, 18, 13571, 87, 10, 17, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "9 27 81 243 729 2187The rule: 3^(x+2)+0\n\n", "id": 624}, {"char_len": 43, "rule": "4*2^x+58", "tokens": [5538, 765, 220, 2287, 765, 220, 5728, 765, 220, 1954, 765, 220, 8259, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 10, 2970, 271], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "62 | 66 | 74 | 90 | 122The rule: 4*2^x+58\n\n", "id": 625}, {"char_len": 48, "rule": "3*3^x+42", "tokens": [1774, 262, 220, 3971, 262, 220, 3076, 262, 220, 4513, 262, 220, 15935, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 10, 2983, 271], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "45 51 69 123 285The rule: 3*3^x+42\n\n", "id": 626}, {"char_len": 48, "rule": "x+42*25", "tokens": [6550, 15, 11, 6550, 16, 11, 6550, 17, 11, 6550, 18, 11, 6550, 19, 11, 6550, 20, 791, 6037, 25, 865, 10, 2983, 9, 914, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "1050,1051,1052,1053,1054,1055The rule: x+42*25\n\n", "id": 627}, {"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": 628}, {"char_len": 44, "rule": "x+0+29", "tokens": [1682, 91, 966, 91, 2148, 91, 843, 91, 1644, 91, 1958, 91, 1758, 91, 1927, 91, 1806, 791, 6037, 25, 865, 10, 15, 10, 1682, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "29|30|31|32|33|34|35|36|37The rule: x+0+29\n\n", "id": 629}, {"char_len": 36, "rule": "4*3^x", "tokens": [19, 11, 220, 717, 11, 220, 1927, 11, 220, 6640, 11, 220, 16723, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "4, 12, 36, 108, 324The rule: 4*3^x\n\n", "id": 630}, {"char_len": 65, "rule": "x+58+40", "tokens": [3264, 11, 220, 1484, 11, 220, 1041, 11, 220, 4645, 11, 220, 4278, 11, 220, 6889, 11, 220, 6849, 11, 220, 6550, 11, 220, 7461, 11, 220, 7699, 791, 6037, 25, 865, 10, 2970, 10, 1272, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "98, 99, 100, 101, 102, 103, 104, 105, 106, 107The rule: x+58+40\n\n", "id": 631}, {"char_len": 66, "rule": "4^(x+2)+0", "tokens": [845, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21, 405, 9892, 5833, 405, 15573, 1927, 405, 14274, 8929, 791, 6037, 25, 220, 19, 13571, 87, 10, 17, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "16->64->256->1024->4096->16384->65536->262144The rule: 4^(x+2)+0\n\n", "id": 632}, {"char_len": 40, "rule": "4*3^x+12", "tokens": [845, 11, 1187, 11, 2166, 11, 4364, 11, 17014, 11, 23812, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 717, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "16,24,48,120,336,984The rule: 4*3^x+12\n\n", "id": 633}, {"char_len": 47, "rule": "2^(x+3)+65", "tokens": [5958, 405, 5932, 405, 3534, 405, 9748, 405, 7285, 405, 14423, 791, 6037, 25, 220, 17, 13571, 87, 10, 18, 7405, 2397, 271], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "arithmetic_sequence", "txt": "73->81->97->129->193->321The rule: 2^(x+3)+65\n\n", "id": 634}, {"char_len": 51, "rule": "3^x+35", "tokens": [1927, 197, 1987, 197, 2096, 197, 5538, 197, 8027, 197, 16949, 197, 24402, 197, 9716, 17, 197, 25090, 21, 791, 6037, 25, 220, 18, 61, 87, 10, 1758, 271], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "36\t38\t44\t62\t116\t278\t764\t2222\t6596The rule: 3^x+35\n\n", "id": 635}, {"char_len": 65, "rule": "25*(x+4)", "tokens": [1041, 674, 220, 6549, 674, 220, 3965, 674, 220, 10005, 674, 220, 1049, 674, 220, 11057, 674, 220, 5154, 674, 220, 14417, 791, 6037, 25, 220, 914, 6737, 87, 10, 19, 696], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "100 # 125 # 150 # 175 # 200 # 225 # 250 # 275The rule: 25*(x+4)\n\n", "id": 636}, {"char_len": 58, "rule": "3*2^x", "tokens": [18, 271, 21, 271, 717, 271, 1187, 271, 2166, 271, 4161, 271, 5926, 271, 12910, 271, 17521, 271, 9800, 21, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 30, "data_type": "arithmetic_sequence", "txt": "3\n\n6\n\n12\n\n24\n\n48\n\n96\n\n192\n\n384\n\n768\n\n1536The rule: 3*2^x\n\n", "id": 637}, {"char_len": 59, "rule": "32*x+24", "tokens": [1187, 405, 3487, 405, 2421, 405, 4364, 405, 9756, 405, 10336, 405, 12463, 405, 14185, 405, 11209, 791, 6037, 25, 220, 843, 18988, 10, 1187, 271], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "arithmetic_sequence", "txt": "24->56->88->120->152->184->216->248->280The rule: 32*x+24\n\n", "id": 638}, {"char_len": 54, "rule": "3^x+83", "tokens": [5833, 1174, 220, 4218, 1174, 220, 6083, 1174, 220, 5120, 1174, 220, 10513, 1174, 220, 17470, 1174, 220, 19270, 791, 6037, 25, 220, 18, 61, 87, 10, 6069, 271], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "84 , 86 , 92 , 110 , 164 , 326 , 812The rule: 3^x+83\n\n", "id": 639}, {"char_len": 61, "rule": "27*x+0", "tokens": [15, 11, 220, 1544, 11, 220, 4370, 11, 220, 5932, 11, 220, 6640, 11, 220, 8878, 11, 220, 10674, 11, 220, 9378, 11, 220, 12463, 11, 220, 14052, 791, 6037, 25, 220, 1544, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "0, 27, 54, 81, 108, 135, 162, 189, 216, 243The rule: 27*x+0\n\n", "id": 640}, {"char_len": 34, "rule": "x^4+37", "tokens": [1806, 201, 1987, 201, 4331, 201, 8899, 201, 17313, 791, 6037, 25, 865, 61, 19, 10, 1806, 271], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "arithmetic_sequence", "txt": "37\r38\r53\r118\r293The rule: x^4+37\n\n", "id": 641}, {"char_len": 71, "rule": "x+49*47", "tokens": [9870, 18, 11, 220, 9870, 19, 11, 220, 9870, 20, 11, 220, 9870, 21, 11, 220, 9870, 22, 11, 220, 9870, 23, 11, 220, 9870, 24, 11, 220, 12245, 15, 11, 220, 12245, 16, 791, 6037, 25, 865, 10, 2491, 9, 2618, 271], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311The rule: x+49*47\n\n", "id": 642}, {"char_len": 99, "rule": "4^(x+2)+0", "tokens": [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, 791, 6037, 25, 220, 19, 13571, 87, 10, 17, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "16 --> 64 --> 256 --> 1024 --> 4096 --> 16384 --> 65536 --> 262144 --> 1048576The rule: 4^(x+2)+0\n\n", "id": 643}, {"char_len": 59, "rule": "18*(x+8)", "tokens": [8929, 11, 10674, 11, 5245, 11, 3753, 11, 12463, 11, 11727, 11, 12326, 11, 10914, 11, 15287, 11, 12879, 791, 6037, 25, 220, 972, 6737, 87, 10, 23, 696], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "144,162,180,198,216,234,252,270,288,306The rule: 18*(x+8)\n\n", "id": 644}, {"char_len": 68, "rule": "x+86*25", "tokens": [12112, 15, 197, 12112, 16, 197, 12112, 17, 197, 12112, 18, 197, 12112, 19, 197, 12112, 20, 197, 12112, 21, 197, 12112, 22, 197, 12112, 23, 197, 12112, 24, 791, 6037, 25, 865, 10, 4218, 9, 914, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "2150\t2151\t2152\t2153\t2154\t2155\t2156\t2157\t2158\t2159The rule: x+86*25\n\n", "id": 645}, {"char_len": 70, "rule": "2^x+17", "tokens": [972, 262, 220, 777, 262, 220, 1691, 262, 220, 914, 262, 220, 1644, 262, 220, 2491, 262, 220, 5932, 262, 220, 9591, 262, 220, 15451, 791, 6037, 25, 220, 17, 61, 87, 10, 1114, 271], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "18 19 21 25 33 49 81 145 273The rule: 2^x+17\n\n", "id": 646}, {"char_len": 65, "rule": "4*4^x", "tokens": [19, 405, 845, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21, 405, 9892, 5833, 405, 15573, 1927, 405, 14274, 8929, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "4->16->64->256->1024->4096->16384->65536->262144The rule: 4*4^x\n\n", "id": 647}, {"char_len": 51, "rule": "30*(x+9)", "tokens": [10914, 220, 3101, 220, 10568, 220, 6843, 220, 15515, 220, 12819, 220, 10617, 220, 11738, 791, 6037, 25, 220, 966, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "270 300 330 360 390 420 450 480The rule: 30*(x+9)\n\n", "id": 648}, {"char_len": 49, "rule": "2^x+0", "tokens": [16, 271, 17, 271, 19, 271, 23, 271, 845, 271, 843, 271, 1227, 271, 4386, 271, 4146, 791, 6037, 25, 220, 17, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "1\n\n2\n\n4\n\n8\n\n16\n\n32\n\n64\n\n128\n\n256The rule: 2^x+0\n\n", "id": 649}, {"char_len": 141, "rule": "3*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 271, 18, 11, 220, 717, 11, 220, 2166, 11, 220, 5926, 11, 220, 17521, 11, 220, 14777, 17, 11, 220, 8259, 2421, 11, 220, 21824, 4103], "tokenizer": "cl100k_base", "tokens_len": 51, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*4^x\n\n3, 12, 48, 192, 768, 3072, 12288, 49152", "id": 650}, {"char_len": 160, "rule": "3^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16, 11, 220, 5162, 6069, 11, 220, 20615, 2491, 11, 220, 11242, 10288, 11, 220, 20823, 18495], "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: 3^(x+4)+0\n\n81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441", "id": 651}, {"char_len": 163, "rule": "4^(x+4)+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, 19, 7405, 15, 271, 4146, 220, 4278, 19, 220, 12378, 21, 220, 9892, 5833, 220, 15573, 1927, 220, 14274, 8929, 220, 6849, 20907, 21, 220, 19391, 14245, 19, 220, 11515, 23624, 845], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+4)+0\n\n256 1024 4096 16384 65536 262144 1048576 4194304 16777216", "id": 652}, {"char_len": 135, "rule": "x+0*20", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 9, 508, 271, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 24, 11, 220, 605], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0*20\n\n0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10", "id": 653}, {"char_len": 150, "rule": "x+13*6", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 1032, 9, 21, 271, 2495, 765, 220, 4643, 765, 220, 1490, 765, 220, 5932, 765, 220, 6086, 765, 220, 6069, 765, 220, 5833, 765, 220, 5313, 765, 220, 4218, 765, 220, 4044], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+13*6\n\n78 | 79 | 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87", "id": 654}, {"char_len": 178, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 271, 19, 674, 220, 845, 674, 220, 1227, 674, 220, 4146, 674, 220, 4278, 19, 674, 220, 12378, 21, 674, 220, 9892, 5833, 674, 220, 15573, 1927, 674, 220, 14274, 8929, 674, 220, 6849, 20907, 21, 674, 220, 19391, 14245, 19], "tokenizer": "cl100k_base", "tokens_len": 66, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*4^x\n\n4 # 16 # 64 # 256 # 1024 # 4096 # 16384 # 65536 # 262144 # 1048576 # 4194304", "id": 655}, {"char_len": 176, "rule": "3*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 271, 18, 11, 220, 717, 11, 220, 2166, 11, 220, 5926, 11, 220, 17521, 11, 220, 14777, 17, 11, 220, 8259, 2421, 11, 220, 21824, 4103, 11, 220, 5162, 19944, 11, 220, 25251, 16739, 11, 220, 16104, 22468, 23, 11, 220, 6549, 26218, 717], "tokenizer": "cl100k_base", "tokens_len": 69, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*4^x\n\n3, 12, 48, 192, 768, 3072, 12288, 49152, 196608, 786432, 3145728, 12582912", "id": 656}, {"char_len": 143, "rule": "4*4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271, 19, 674, 220, 845, 674, 220, 1227, 674, 220, 4146, 674, 220, 4278, 19, 674, 220, 12378, 21, 674, 220, 9892, 5833], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*4^x+0\n\n4 # 16 # 64 # 256 # 1024 # 4096 # 16384", "id": 657}, {"char_len": 145, "rule": "4*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 271, 19, 11, 220, 717, 11, 220, 1927, 11, 220, 6640, 11, 220, 16723, 11, 220, 24425, 11, 220, 17335, 21, 11, 220, 25822, 23, 11, 220, 14274, 2096], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*3^x\n\n4, 12, 36, 108, 324, 972, 2916, 8748, 26244", "id": 658}, {"char_len": 138, "rule": "42*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 2983, 6737, 87, 10, 21, 696, 12326, 11, 220, 17168, 11, 220, 17014, 11, 220, 19166, 11, 220, 12819, 11, 220, 20911, 11, 220, 18048], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 42*(x+6)\n\n252, 294, 336, 378, 420, 462, 504", "id": 659}, {"char_len": 142, "rule": "3*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 271, 18, 3929, 220, 717, 3929, 220, 2166, 3929, 220, 5926, 3929, 220, 17521, 3929, 220, 14777, 17], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*4^x\n\n3 --> 12 --> 48 --> 192 --> 768 --> 3072", "id": 660}, {"char_len": 128, "rule": "x^3+8", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 18, 10, 23, 271, 23, 11, 220, 24, 11, 220, 845, 11, 220, 1758, 11, 220, 5332, 11, 220, 9423, 11, 220, 10697], "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^3+8\n\n8, 9, 16, 35, 72, 133, 224", "id": 661}, {"char_len": 130, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 674, 220, 19, 674, 220, 845, 674, 220, 1227, 674, 220, 4146, 674, 220, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^x+0\n\n1 # 4 # 16 # 64 # 256 # 1024", "id": 662}, {"char_len": 128, "rule": "4*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 271, 19, 271, 23, 271, 845, 271, 843, 271, 1227, 271, 4386, 271, 4146], "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: 4*2^x\n\n4\n\n8\n\n16\n\n32\n\n64\n\n128\n\n256", "id": 663}, {"char_len": 162, "rule": "4^(x+2)+44", "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, 2096, 271, 1399, 91, 6640, 91, 3101, 91, 7461, 23, 91, 17448, 15, 91, 10513, 1591, 91, 15573, 1490, 91, 14274, 9367, 91, 6849, 24071, 15, 91, 19391, 20165, 23], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+2)+44\n\n60|108|300|1068|4140|16428|65580|262188|1048620|4194348", "id": 664}, {"char_len": 154, "rule": "4*3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 15, 271, 19, 262, 220, 717, 262, 220, 1927, 262, 220, 6640, 262, 220, 16723, 262, 220, 24425, 262, 220, 17335, 21, 262, 220, 25822, 23], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*3^x+0\n\n4 12 36 108 324 972 2916 8748", "id": 665}, {"char_len": 127, "rule": "x+14*42", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 975, 9, 2983, 271, 20691, 197, 22905, 197, 20615, 197, 24380, 197, 20128, 197, 22608], "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+14*42\n\n588\t589\t590\t591\t592\t593", "id": 666}, {"char_len": 142, "rule": "8*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 23, 18988, 10, 15, 271, 15, 11, 220, 23, 11, 220, 845, 11, 220, 1187, 11, 220, 843, 11, 220, 1272, 11, 220, 2166, 11, 220, 3487, 11, 220, 1227, 11, 220, 5332, 11, 220, 1490], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 8*x+0\n\n0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80", "id": 667}, {"char_len": 134, "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, 1174, 220, 845, 1174, 220, 843, 1174, 220, 1227, 1174, 220, 4386, 1174, 220, 4146], "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: 2^(x+3)+0\n\n8 , 16 , 32 , 64 , 128 , 256", "id": 668}, {"char_len": 155, "rule": "x+30*13", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 966, 9, 1032, 271, 15515, 3929, 220, 19631, 3929, 220, 19695, 3929, 220, 18252, 3929, 220, 20077, 3929, 220, 19498, 3929, 220, 19615], "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+30*13\n\n390 --> 391 --> 392 --> 393 --> 394 --> 395 --> 396", "id": 669}, {"char_len": 157, "rule": "x+15*33", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 868, 9, 1644, 271, 21038, 271, 19447, 271, 22640, 271, 21962, 271, 18162, 271, 2636, 271, 14408, 271, 17824, 271, 17735, 271, 18048, 271, 17786], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+15*33\n\n495\n\n496\n\n497\n\n498\n\n499\n\n500\n\n501\n\n502\n\n503\n\n504\n\n505", "id": 670}, {"char_len": 147, "rule": "4*4^x+44", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 2096, 271, 2166, 405, 1399, 405, 6640, 405, 3101, 405, 7461, 23, 405, 17448, 15, 405, 10513, 1591, 405, 15573, 1490], "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: 4*4^x+44\n\n48->60->108->300->1068->4140->16428->65580", "id": 671}, {"char_len": 146, "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], "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^3+0\n\n0 1 8 27 64 125 216 343", "id": 672}, {"char_len": 128, "rule": "x+0+7", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 22, 271, 22, 198, 23, 198, 24, 198, 605, 198, 806, 198, 717, 198, 1032, 198, 975, 198, 868, 198, 845], "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+0+7\n\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16", "id": 673}, {"char_len": 127, "rule": "2*2^x+65", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 2397, 271, 3080, 201, 3076, 201, 5958, 201, 5932, 201, 3534, 201, 9748, 201, 7285], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2*2^x+65\n\n67\r69\r73\r81\r97\r129\r193", "id": 674}, {"char_len": 151, "rule": "x^2+12", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 17, 10, 717, 271, 717, 220, 220, 1032, 220, 220, 845, 220, 220, 1691, 220, 220, 1591, 220, 220, 1806, 220, 220, 2166, 220, 220, 5547, 220, 220, 4767, 220, 220, 6365, 220, 220, 7261, 220, 220, 9423], "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^2+12\n\n12 13 16 21 28 37 48 61 76 93 112 133", "id": 675}, {"char_len": 150, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 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": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*4^x\n\n4\r16\r64\r256\r1024\r4096\r16384\r65536\r262144\r1048576", "id": 676}, {"char_len": 152, "rule": "x+65*13", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2397, 9, 1032, 271, 24650, 220, 220, 26563, 220, 220, 25125, 220, 220, 24951, 220, 220, 26537, 220, 220, 16217, 220, 220, 24866, 220, 220, 24571, 220, 220, 25724, 220, 220, 25515], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+65*13\n\n845 846 847 848 849 850 851 852 853 854", "id": 677}, {"char_len": 129, "rule": "x+0+47", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 2618, 271, 2618, 220, 2166, 220, 2491, 220, 1135, 220, 3971, 220, 4103, 220, 4331, 220, 4370, 220, 2131], "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: x+0+47\n\n47 48 49 50 51 52 53 54 55", "id": 678}, {"char_len": 129, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271, 18, 91, 24, 91, 1544, 91, 5932, 91, 14052, 91, 22194, 91, 13302, 22, 91, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*3^x\n\n3|9|27|81|243|729|2187|6561", "id": 679}, {"char_len": 151, "rule": "x+28*27", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 1591, 9, 1544, 271, 24456, 198, 23776, 198, 25302, 198, 26439, 198, 19104, 198, 25110, 198, 24376, 198, 26083, 198, 24402, 198, 22240, 198, 25358, 198, 23275], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+28*27\n\n756\n757\n758\n759\n760\n761\n762\n763\n764\n765\n766\n767", "id": 680}, {"char_len": 147, "rule": "x+51+45", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 3971, 10, 1774, 271, 4161, 220, 3534, 220, 3264, 220, 1484, 220, 1041, 220, 4645, 220, 4278, 220, 6889, 220, 6849, 220, 6550, 220, 7461, 220, 7699], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+51+45\n\n96 97 98 99 100 101 102 103 104 105 106 107", "id": 681}, {"char_len": 139, "rule": "x+0*35", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 9, 1758, 271, 15, 271, 16, 271, 17, 271, 18, 271, 19, 271, 20, 271, 21, 271, 22, 271, 23, 271, 24, 271, 605, 271, 806], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0*35\n\n0\n\n1\n\n2\n\n3\n\n4\n\n5\n\n6\n\n7\n\n8\n\n9\n\n10\n\n11", "id": 682}, {"char_len": 130, "rule": "x^3+55", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 18, 10, 2131, 271, 2131, 201, 3487, 201, 5495, 201, 6086, 201, 9079, 201, 5245, 201, 15828, 201, 19838], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^3+55\n\n55\r56\r63\r82\r119\r180\r271\r398", "id": 683}, {"char_len": 152, "rule": "3^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 3929, 220, 14052, 3929, 220, 22194, 3929, 220, 13302, 22, 3929, 220, 20744, 16, 3929, 220, 5162, 6069], "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: 3^(x+4)+0\n\n81 --> 243 --> 729 --> 2187 --> 6561 --> 19683", "id": 684}, {"char_len": 149, "rule": "x+0+33", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 1644, 271, 1644, 220, 220, 1958, 220, 220, 1758, 220, 220, 1927, 220, 220, 1806, 220, 220, 1987, 220, 220, 2137, 220, 220, 1272, 220, 220, 3174, 220, 220, 2983, 220, 220, 3391, 220, 220, 2096], "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+0+33\n\n33 34 35 36 37 38 39 40 41 42 43 44", "id": 685}, {"char_len": 161, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 220, 220, 18, 220, 220, 24, 220, 220, 1544, 220, 220, 5932, 220, 220, 14052, 220, 220, 22194, 220, 220, 13302, 22, 220, 220, 20744, 16, 220, 220, 5162, 6069, 220, 220, 20615, 2491, 220, 220, 11242, 10288], "tokenizer": "cl100k_base", "tokens_len": 65, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+0\n\n1 3 9 27 81 243 729 2187 6561 19683 59049 177147", "id": 686}, {"char_len": 168, "rule": "x+78*36", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2495, 9, 1927, 271, 11209, 23, 220, 220, 11209, 24, 220, 220, 15282, 15, 220, 220, 15282, 16, 220, 220, 15282, 17, 220, 220, 15282, 18, 220, 220, 15282, 19, 220, 220, 15282, 20, 220, 220, 15282, 21, 220, 220, 15282, 22, 220, 220, 15282, 23], "tokenizer": "cl100k_base", "tokens_len": 67, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+78*36\n\n2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818", "id": 687}, {"char_len": 144, "rule": "35*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1758, 18988, 10, 15, 271, 15, 262, 220, 1758, 262, 220, 2031, 262, 220, 6550, 262, 220, 6860, 262, 220, 10005, 262, 220, 8848], "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: 35*x+0\n\n0 35 70 105 140 175 210", "id": 688}, {"char_len": 143, "rule": "3^x+12", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 717, 271, 1032, 220, 220, 868, 220, 220, 1691, 220, 220, 2137, 220, 220, 6365, 220, 220, 3192, 220, 220, 25021, 220, 220, 13762, 24, 220, 220, 23480, 18], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+12\n\n13 15 21 39 93 255 741 2199 6573", "id": 689}, {"char_len": 150, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271, 18, 405, 24, 405, 1544, 405, 5932, 405, 14052, 405, 22194, 405, 13302, 22, 405, 20744, 16, 405, 5162, 6069, 405, 20615, 2491], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*3^x\n\n3->9->27->81->243->729->2187->6561->19683->59049", "id": 690}, {"char_len": 131, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 91, 18, 91, 24, 91, 1544, 91, 5932, 91, 14052, 91, 22194, 91, 13302, 22, 91, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+0\n\n1|3|9|27|81|243|729|2187|6561", "id": 691}, {"char_len": 128, "rule": "x+0*28", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 9, 1591, 271, 15, 197, 16, 197, 17, 197, 18, 197, 19, 197, 20, 197, 21, 197, 22, 197, 23, 197, 24, 197, 605, 197, 806], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0*28\n\n0\t1\t2\t3\t4\t5\t6\t7\t8\t9\t10\t11", "id": 692}, {"char_len": 135, "rule": "x+0+21", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 1691, 271, 1691, 198, 1313, 198, 1419, 198, 1187, 198, 914, 198, 1627, 198, 1544, 198, 1591, 198, 1682, 198, 966, 198, 2148], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0+21\n\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31", "id": 693}, {"char_len": 150, "rule": "21*x+84", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1691, 18988, 10, 5833, 271, 5833, 197, 6550, 197, 9390, 197, 10288, 197, 8953, 197, 9378, 197, 8848, 197, 12245, 197, 12326, 197, 15451, 197, 17168, 197, 15189], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 21*x+84\n\n84\t105\t126\t147\t168\t189\t210\t231\t252\t273\t294\t315", "id": 694}, {"char_len": 120, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 11, 19, 11, 845, 11, 1227, 11, 4146, 11, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^x+0\n\n1,4,16,64,256,1024", "id": 695}, {"char_len": 114, "rule": "x+0*15", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 9, 868, 271, 15, 220, 16, 220, 17, 220, 18, 220, 19, 220, 20], "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+0*15\n\n0 1 2 3 4 5", "id": 696}, {"char_len": 136, "rule": "x+73+11", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 5958, 10, 806, 271, 5833, 765, 220, 5313, 765, 220, 4218, 765, 220, 4044, 765, 220, 2421, 765, 220, 4578, 765, 220, 1954], "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+73+11\n\n84 | 85 | 86 | 87 | 88 | 89 | 90", "id": 697}, {"char_len": 127, "rule": "x^2+90", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 17, 10, 1954, 271, 1954, 271, 5925, 271, 6281, 271, 1484, 271, 7461, 271, 7322], "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^2+90\n\n90\n\n91\n\n94\n\n99\n\n106\n\n115", "id": 698}, {"char_len": 139, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 11, 220, 18, 11, 220, 24, 11, 220, 1544, 11, 220, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 53, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+0\n\n1, 3, 9, 27, 81, 243, 729, 2187, 6561", "id": 699}, {"char_len": 132, "rule": "36*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1927, 18988, 10, 15, 271, 15, 1174, 220, 1927, 1174, 220, 5332, 1174, 220, 6640, 1174, 220, 8929, 1174, 220, 5245], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 36*x+0\n\n0 , 36 , 72 , 108 , 144 , 180", "id": 700}, {"char_len": 155, "rule": "x+78+29", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2495, 10, 1682, 271, 7699, 1174, 220, 6640, 1174, 220, 7743, 1174, 220, 5120, 1174, 220, 5037, 1174, 220, 7261, 1174, 220, 8190, 1174, 220, 8011, 1174, 220, 7322], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+78+29\n\n107 , 108 , 109 , 110 , 111 , 112 , 113 , 114 , 115", "id": 701}, {"char_len": 128, "rule": "x^2+72", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 17, 10, 5332, 271, 5332, 197, 5958, 197, 4767, 197, 5932, 197, 2421, 197, 3534, 197, 6640, 197, 7994], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^2+72\n\n72\t73\t76\t81\t88\t97\t108\t121", "id": 702}, {"char_len": 177, "rule": "2*4^x+75", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 2075, 271, 2813, 3929, 220, 6069, 3929, 220, 7699, 3929, 220, 9639, 3929, 220, 22159, 3929, 220, 11227, 18, 3929, 220, 23038, 22, 3929, 220, 16884, 3391, 3929, 220, 9263, 10288], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2*4^x+75\n\n77 --> 83 --> 107 --> 203 --> 587 --> 2123 --> 8267 --> 32843 --> 131147", "id": 703}, {"char_len": 154, "rule": "33*x+74", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1644, 18988, 10, 5728, 271, 5728, 3929, 220, 7699, 3929, 220, 6860, 3929, 220, 11908, 3929, 220, 11056, 3929, 220, 14815, 3929, 220, 15741], "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: 33*x+74\n\n74 --> 107 --> 140 --> 173 --> 206 --> 239 --> 272", "id": 704}, {"char_len": 172, "rule": "2*3^x+19", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 777, 271, 1691, 3929, 220, 914, 3929, 220, 1806, 3929, 220, 5958, 3929, 220, 10562, 3929, 220, 17786, 3929, 220, 10288, 22, 3929, 220, 20963, 18, 3929, 220, 9263, 3174], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 2*3^x+19\n\n21 --> 25 --> 37 --> 73 --> 181 --> 505 --> 1477 --> 4393 --> 13141", "id": 705}, {"char_len": 180, "rule": "x+61*23", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 5547, 9, 1419, 271, 6860, 18, 262, 220, 6860, 19, 262, 220, 6860, 20, 262, 220, 6860, 21, 262, 220, 6860, 22, 262, 220, 6860, 23, 262, 220, 6860, 24, 262, 220, 9335, 15, 262, 220, 9335, 16, 262, 220, 9335, 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: x+61*23\n\n1403 1404 1405 1406 1407 1408 1409 1410 1411 1412", "id": 706}, {"char_len": 134, "rule": "x+0*46", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 9, 2790, 271, 15, 262, 220, 16, 262, 220, 17, 262, 220, 18, 262, 220, 19, 262, 220, 20, 262, 220, 21], "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+0*46\n\n0 1 2 3 4 5 6", "id": 707}, {"char_len": 172, "rule": "4^(x+4)+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, 19, 7405, 15, 271, 4146, 197, 4278, 19, 197, 12378, 21, 197, 9892, 5833, 197, 15573, 1927, 197, 14274, 8929, 197, 6849, 20907, 21, 197, 19391, 14245, 19, 197, 11515, 23624, 845, 197, 23403, 25620, 1227], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+4)+0\n\n256\t1024\t4096\t16384\t65536\t262144\t1048576\t4194304\t16777216\t67108864", "id": 708}, {"char_len": 127, "rule": "x+0+3", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 18, 271, 18, 198, 19, 198, 20, 198, 21, 198, 22, 198, 23, 198, 24, 198, 605, 198, 806, 198, 717, 198, 1032], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0+3\n\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13", "id": 709}, {"char_len": 127, "rule": "33*(x+3)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1644, 6737, 87, 10, 18, 696, 1484, 201, 9413, 201, 10680, 201, 3753, 201, 12245, 201, 12815], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 33*(x+3)\n\n99\r132\r165\r198\r231\r264", "id": 710}, {"char_len": 121, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 198, 18, 198, 24, 198, 1544, 198, 5932, 198, 14052, 198, 22194], "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^x+0\n\n1\n3\n9\n27\n81\n243\n729", "id": 711}, {"char_len": 146, "rule": "35*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1758, 18988, 10, 15, 271, 15, 197, 1758, 197, 2031, 197, 6550, 197, 6860, 197, 10005, 197, 8848, 197, 13078, 197, 11209, 197, 15189, 197, 8652, 197, 18695], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 35*x+0\n\n0\t35\t70\t105\t140\t175\t210\t245\t280\t315\t350\t385", "id": 712}, {"char_len": 210, "rule": "3^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 262, 220, 14052, 262, 220, 22194, 262, 220, 13302, 22, 262, 220, 20744, 16, 262, 220, 5162, 6069, 262, 220, 20615, 2491, 262, 220, 11242, 10288, 262, 220, 20823, 18495, 262, 220, 11068, 16739, 18, 262, 220, 22086, 17408, 24, 262, 220, 10290, 22418, 2589], "tokenizer": "cl100k_base", "tokens_len": 74, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^(x+4)+0\n\n81 243 729 2187 6561 19683 59049 177147 531441 1594323 4782969 14348907", "id": 713}, {"char_len": 159, "rule": "x^4+70", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 19, 10, 2031, 271, 2031, 271, 6028, 271, 4218, 271, 9690, 271, 17470, 271, 24394, 271, 9795, 21, 271, 14125, 16, 271, 17763, 21, 271, 24491, 16, 271, 1041, 2031], "tokenizer": "cl100k_base", "tokens_len": 51, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^4+70\n\n70\n\n71\n\n86\n\n151\n\n326\n\n695\n\n1366\n\n2471\n\n4166\n\n6631\n\n10070", "id": 714}, {"char_len": 141, "rule": "x^2+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 17, 10, 15, 271, 15, 405, 16, 405, 19, 405, 24, 405, 845, 405, 914, 405, 1927, 405, 2491, 405, 1227, 405, 5932, 405, 1041], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^2+0\n\n0->1->4->9->16->25->36->49->64->81->100", "id": 715}, {"char_len": 126, "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, 197, 843, 197, 1227, 197, 4386, 197, 4146, 197, 8358], "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: 2^(x+4)+0\n\n16\t32\t64\t128\t256\t512", "id": 716}, {"char_len": 141, "rule": "12*(x+10)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 717, 6737, 87, 10, 605, 696, 4364, 220, 9413, 220, 8929, 220, 10132, 220, 8953, 220, 5245, 220, 5926, 220, 7854, 220, 12463], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 12*(x+10)\n\n120 132 144 156 168 180 192 204 216", "id": 717}, {"char_len": 123, "rule": "x+0+32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 843, 271, 843, 11, 1644, 11, 1958, 11, 1758, 11, 1927, 11, 1806, 11, 1987], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0+32\n\n32,33,34,35,36,37,38", "id": 718}, {"char_len": 166, "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, 765, 220, 21, 765, 220, 717, 765, 220, 1187, 765, 220, 2166, 765, 220, 4161, 765, 220, 5926, 765, 220, 12910, 765, 220, 17521, 765, 220, 9800, 21, 765, 220, 14777, 17, 765, 220, 22638, 19], "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: 3*2^x\n\n3 | 6 | 12 | 24 | 48 | 96 | 192 | 384 | 768 | 1536 | 3072 | 6144", "id": 719}, {"char_len": 138, "rule": "x+67*21", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 3080, 9, 1691, 271, 6860, 22, 220, 220, 6860, 23, 220, 220, 6860, 24, 220, 220, 9335, 15, 220, 220, 9335, 16, 220, 220, 9335, 17], "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+67*21\n\n1407 1408 1409 1410 1411 1412", "id": 720}, {"char_len": 137, "rule": "x+63+39", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 5495, 10, 2137, 271, 4278, 765, 220, 6889, 765, 220, 6849, 765, 220, 6550, 765, 220, 7461, 765, 220, 7699], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+63+39\n\n102 | 103 | 104 | 105 | 106 | 107", "id": 721}, {"char_len": 126, "rule": "x+0+17", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 15, 10, 1114, 271, 1114, 220, 972, 220, 777, 220, 508, 220, 1691, 220, 1313, 220, 1419, 220, 1187], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+0+17\n\n17 18 19 20 21 22 23 24", "id": 722}, {"char_len": 151, "rule": "3*2^x+0", "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, 10, 15, 271, 18, 11, 220, 21, 11, 220, 717, 11, 220, 1187, 11, 220, 2166, 11, 220, 4161, 11, 220, 5926, 11, 220, 12910, 11, 220, 17521, 11, 220, 9800, 21, 11, 220, 14777, 17], "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: 3*2^x+0\n\n3, 6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072", "id": 723}, {"char_len": 155, "rule": "x+90+44", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 1954, 10, 2096, 271, 9565, 3929, 220, 8878, 3929, 220, 9795, 3929, 220, 10148, 3929, 220, 10350, 3929, 220, 10125, 3929, 220, 6860], "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+90+44\n\n134 --> 135 --> 136 --> 137 --> 138 --> 139 --> 140", "id": 724}, {"char_len": 135, "rule": "x+65+2", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 2397, 10, 17, 271, 3080, 1174, 220, 2614, 1174, 220, 3076, 1174, 220, 2031, 1174, 220, 6028, 1174, 220, 5332, 1174, 220, 5958], "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+65+2\n\n67 , 68 , 69 , 70 , 71 , 72 , 73", "id": 725}, {"char_len": 128, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 271, 19, 405, 845, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21], "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: 4*4^x\n\n4->16->64->256->1024->4096", "id": 726}, {"char_len": 157, "rule": "13*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 1032, 18988, 10, 15, 271, 15, 765, 220, 1032, 765, 220, 1627, 765, 220, 2137, 765, 220, 4103, 765, 220, 2397, 765, 220, 2495, 765, 220, 5925, 765, 220, 6849, 765, 220, 8546, 765, 220, 5894], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 13*x+0\n\n0 | 13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130", "id": 727}, {"char_len": 131, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 11, 220, 19, 11, 220, 845, 11, 220, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21], "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: 4^x+0\n\n1, 4, 16, 64, 256, 1024, 4096", "id": 728}, {"char_len": 160, "rule": "3^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 13571, 87, 10, 19, 7405, 15, 271, 5932, 271, 14052, 271, 22194, 271, 13302, 22, 271, 20744, 16, 271, 5162, 6069, 271, 20615, 2491, 271, 11242, 10288, 271, 20823, 18495], "tokenizer": "cl100k_base", "tokens_len": 51, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^(x+4)+0\n\n81\n\n243\n\n729\n\n2187\n\n6561\n\n19683\n\n59049\n\n177147\n\n531441", "id": 729}, {"char_len": 151, "rule": "x+25*19", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 914, 9, 777, 271, 19799, 197, 22191, 197, 21144, 197, 22086, 197, 21848, 197, 11738, 197, 21235, 197, 21984, 197, 21884, 197, 20339, 197, 19773, 197, 21511], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+25*19\n\n475\t476\t477\t478\t479\t480\t481\t482\t483\t484\t485\t486", "id": 730}, {"char_len": 124, "rule": "8*x+56", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 23, 18988, 10, 3487, 271, 3487, 198, 1227, 198, 5332, 198, 1490, 198, 2421, 198, 4161, 198, 6849], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 8*x+56\n\n56\n64\n72\n80\n88\n96\n104", "id": 731}, {"char_len": 165, "rule": "4^(x+3)+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, 18, 7405, 15, 271, 1227, 3929, 220, 4146, 3929, 220, 4278, 19, 3929, 220, 12378, 21, 3929, 220, 9892, 5833, 3929, 220, 15573, 1927, 3929, 220, 14274, 8929], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+3)+0\n\n64 --> 256 --> 1024 --> 4096 --> 16384 --> 65536 --> 262144", "id": 732}, {"char_len": 150, "rule": "10*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 605, 6737, 87, 10, 17, 696, 508, 405, 966, 405, 1272, 405, 1135, 405, 1399, 405, 2031, 405, 1490, 405, 1954, 405, 1041, 405, 5120, 405, 4364], "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: 10*(x+2)\n\n20->30->40->50->60->70->80->90->100->110->120", "id": 733}, {"char_len": 134, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 19, 10, 15, 271, 15, 262, 220, 16, 262, 220, 845, 262, 220, 5932, 262, 220, 4146, 262, 220, 15894], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^4+0\n\n0 1 16 81 256 625", "id": 734}, {"char_len": 150, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 91, 18, 91, 24, 91, 1544, 91, 5932, 91, 14052, 91, 22194, 91, 13302, 22, 91, 20744, 16, 91, 5162, 6069, 91, 20615, 2491, 91, 11242, 10288], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+0\n\n1|3|9|27|81|243|729|2187|6561|19683|59049|177147", "id": 735}, {"char_len": 167, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 271, 19, 91, 845, 91, 1227, 91, 4146, 91, 4278, 19, 91, 12378, 21, 91, 9892, 5833, 91, 15573, 1927, 91, 14274, 8929, 91, 6849, 20907, 21, 91, 19391, 14245, 19, 91, 11515, 23624, 845], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*4^x\n\n4|16|64|256|1024|4096|16384|65536|262144|1048576|4194304|16777216", "id": 736}, {"char_len": 161, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 15, 271, 16, 405, 18, 405, 24, 405, 1544, 405, 5932, 405, 14052, 405, 22194, 405, 13302, 22, 405, 20744, 16, 405, 5162, 6069, 405, 20615, 2491, 405, 11242, 10288], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^x+0\n\n1->3->9->27->81->243->729->2187->6561->19683->59049->177147", "id": 737}, {"char_len": 141, "rule": "x^2+29", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 17, 10, 1682, 271, 1682, 201, 966, 201, 1644, 201, 1987, 201, 1774, 201, 4370, 201, 2397, 201, 2495, 201, 6365, 201, 5120, 201, 9748, 201, 3965], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^2+29\n\n29\r30\r33\r38\r45\r54\r65\r78\r93\r110\r129\r150", "id": 738}, {"char_len": 191, "rule": "4*4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 9, 19, 61, 87, 10, 15, 271, 19, 674, 220, 845, 674, 220, 1227, 674, 220, 4146, 674, 220, 4278, 19, 674, 220, 12378, 21, 674, 220, 9892, 5833, 674, 220, 15573, 1927, 674, 220, 14274, 8929, 674, 220, 6849, 20907, 21, 674, 220, 19391, 14245, 19, 674, 220, 11515, 23624, 845], "tokenizer": "cl100k_base", "tokens_len": 73, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4*4^x+0\n\n4 # 16 # 64 # 256 # 1024 # 4096 # 16384 # 65536 # 262144 # 1048576 # 4194304 # 16777216", "id": 739}, {"char_len": 178, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271, 18, 262, 220, 24, 262, 220, 1544, 262, 220, 5932, 262, 220, 14052, 262, 220, 22194, 262, 220, 13302, 22, 262, 220, 20744, 16, 262, 220, 5162, 6069, 262, 220, 20615, 2491, 262, 220, 11242, 10288], "tokenizer": "cl100k_base", "tokens_len": 62, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3*3^x\n\n3 9 27 81 243 729 2187 6561 19683 59049 177147", "id": 740}, {"char_len": 131, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271, 16, 405, 19, 405, 845, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^x+0\n\n1->4->16->64->256->1024->4096", "id": 741}, {"char_len": 136, "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, 405, 1227, 405, 4146, 405, 4278, 19, 405, 12378, 21, 405, 9892, 5833], "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: 4^(x+2)+0\n\n16->64->256->1024->4096->16384", "id": 742}, {"char_len": 128, "rule": "4^x+21", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 61, 87, 10, 1691, 271, 1313, 220, 914, 220, 1806, 220, 5313, 220, 16367, 220, 6849, 20, 220, 17337, 22], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^x+21\n\n22 25 37 85 277 1045 4117", "id": 743}, {"char_len": 144, "rule": "x+45*32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 10, 1774, 9, 843, 271, 8929, 15, 11, 220, 8929, 16, 11, 220, 8929, 17, 11, 220, 8929, 18, 11, 220, 8929, 19, 11, 220, 8929, 20, 11, 220, 8929, 21], "tokenizer": "cl100k_base", "tokens_len": 51, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x+45*32\n\n1440, 1441, 1442, 1443, 1444, 1445, 1446", "id": 744}, {"char_len": 147, "rule": "4^(x+3)+3", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 19, 13571, 87, 10, 18, 7405, 18, 271, 3080, 11, 220, 15537, 11, 220, 4278, 22, 11, 220, 12378, 24, 11, 220, 9892, 4044, 11, 220, 15573, 2137, 11, 220, 14274, 10288], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 4^(x+3)+3\n\n67, 259, 1027, 4099, 16387, 65539, 262147", "id": 745}, {"char_len": 153, "rule": "x^3+47", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 865, 61, 18, 10, 2618, 271, 2618, 220, 220, 2166, 220, 220, 2131, 220, 220, 5728, 220, 220, 5037, 220, 220, 10861, 220, 220, 15666, 220, 220, 15515, 220, 220, 22424, 220, 220, 23823, 220, 220, 6849, 22], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: x^3+47\n\n47 48 55 74 111 172 263 390 559 776 1047", "id": 746}, {"char_len": 168, "rule": "3^x+71", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 61, 87, 10, 6028, 271, 5332, 1174, 220, 5728, 1174, 220, 1490, 1174, 220, 3264, 1174, 220, 9756, 1174, 220, 16104, 1174, 220, 4728, 1174, 220, 11057, 23, 1174, 220, 24491, 17, 1174, 220, 4468, 4370, 1174, 220, 24380, 508], "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: 3^x+71\n\n72 , 74 , 80 , 98 , 152 , 314 , 800 , 2258 , 6632 , 19754 , 59120", "id": 747}, {"char_len": 141, "rule": "3^(x+3)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 18, 13571, 87, 10, 18, 7405, 15, 271, 1544, 11, 220, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16, 11, 220, 5162, 6069], "tokenizer": "cl100k_base", "tokens_len": 50, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\nThe rule: 3^(x+3)+0\n\n27, 81, 243, 729, 2187, 6561, 19683", "id": 748}, {"char_len": 155, "rule": "30*(x+1)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 791, 6037, 25, 220, 966, 6737, 87, 10, 16, 696, 966, 271, 1399, 271, 1954, 271, 4364, 271, 3965, 271, 5245, 271, 8848, 271, 8273, 271, 10914, 271, 3101, 271, 10568], "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: 30*(x+1)\n\n30\n\n60\n\n90\n\n120\n\n150\n\n180\n\n210\n\n240\n\n270\n\n300\n\n330", "id": 749}, {"char_len": 155, "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, 271, 5926, 271, 12910, 271, 17521, 271, 9800, 21, 271, 14777, 17, 271, 22638, 19, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 52, "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\n\n192\n\n384\n\n768\n\n1536\n\n3072\n\n6144The rule: 3*2^x\n\n", "id": 750}, {"char_len": 145, "rule": "x^3+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 765, 220, 16, 765, 220, 23, 765, 220, 1544, 765, 220, 1227, 765, 220, 6549, 765, 220, 12463, 765, 220, 16522, 765, 220, 8358, 791, 6037, 25, 865, 61, 18, 10, 15, 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\n0 | 1 | 8 | 27 | 64 | 125 | 216 | 343 | 512The rule: x^3+0\n\n", "id": 751}, {"char_len": 135, "rule": "x+0+34", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1958, 674, 220, 1758, 674, 220, 1927, 674, 220, 1806, 674, 220, 1987, 674, 220, 2137, 674, 220, 1272, 791, 6037, 25, 865, 10, 15, 10, 1958, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n34 # 35 # 36 # 37 # 38 # 39 # 40The rule: x+0+34\n\n", "id": 752}, {"char_len": 120, "rule": "x^2+41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3174, 197, 2983, 197, 1774, 197, 1135, 197, 3226, 197, 2287, 791, 6037, 25, 865, 61, 17, 10, 3174, 271], "tokenizer": "cl100k_base", "tokens_len": 36, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n41\t42\t45\t50\t57\t66The rule: x^2+41\n\n", "id": 753}, {"char_len": 141, "rule": "x+1*41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3174, 262, 220, 2983, 262, 220, 3391, 262, 220, 2096, 262, 220, 1774, 262, 220, 2790, 262, 220, 2618, 791, 6037, 25, 865, 10, 16, 9, 3174, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n41 42 43 44 45 46 47The rule: x+1*41\n\n", "id": 754}, {"char_len": 128, "rule": "19*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 8011, 220, 9423, 220, 9756, 220, 11123, 220, 7028, 220, 12652, 791, 6037, 25, 220, 777, 6737, 87, 10, 21, 696], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n114 133 152 171 190 209The rule: 19*(x+6)\n\n", "id": 755}, {"char_len": 150, "rule": "24*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2166, 11, 220, 5332, 11, 220, 4161, 11, 220, 4364, 11, 220, 8929, 11, 220, 8953, 11, 220, 5926, 11, 220, 12463, 11, 220, 8273, 11, 220, 12815, 791, 6037, 25, 220, 1187, 6737, 87, 10, 17, 696], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n48, 72, 96, 120, 144, 168, 192, 216, 240, 264The rule: 24*(x+2)\n\n", "id": 756}, {"char_len": 145, "rule": "42*x+21", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1691, 91, 5495, 91, 6550, 91, 10288, 91, 9378, 91, 12245, 91, 15451, 91, 15189, 91, 18520, 91, 18572, 91, 18495, 791, 6037, 25, 220, 2983, 18988, 10, 1691, 271], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n21|63|105|147|189|231|273|315|357|399|441The rule: 42*x+21\n\n", "id": 757}, {"char_len": 140, "rule": "34*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 7854, 201, 13895, 201, 15741, 201, 12879, 201, 13679, 201, 18265, 201, 18058, 201, 20502, 201, 22191, 791, 6037, 25, 220, 1958, 6737, 87, 10, 21, 696], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n204\r238\r272\r306\r340\r374\r408\r442\r476The rule: 34*(x+6)\n\n", "id": 758}, {"char_len": 145, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 197, 16, 197, 845, 197, 5932, 197, 4146, 197, 15894, 197, 9748, 21, 197, 8273, 16, 197, 12378, 21, 197, 20744, 16, 197, 1041, 410, 791, 6037, 25, 865, 61, 19, 10, 15, 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\n0\t1\t16\t81\t256\t625\t1296\t2401\t4096\t6561\t10000The rule: x^4+0\n\n", "id": 759}, {"char_len": 129, "rule": "x+97+2", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1484, 197, 1041, 197, 4645, 197, 4278, 197, 6889, 197, 6849, 197, 6550, 791, 6037, 25, 865, 10, 3534, 10, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n99\t100\t101\t102\t103\t104\t105The rule: x+97+2\n\n", "id": 760}, {"char_len": 168, "rule": "x+57*31", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 10967, 22, 405, 10967, 23, 405, 10967, 24, 405, 11242, 15, 405, 11242, 16, 405, 11242, 17, 405, 11242, 18, 405, 11242, 19, 405, 11242, 20, 405, 11242, 21, 405, 11242, 22, 791, 6037, 25, 865, 10, 3226, 9, 2148, 271], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1767->1768->1769->1770->1771->1772->1773->1774->1775->1776->1777The rule: x+57*31\n\n", "id": 761}, {"char_len": 131, "rule": "x^2+77", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2813, 1174, 220, 2495, 1174, 220, 5932, 1174, 220, 4218, 1174, 220, 6365, 1174, 220, 4278, 791, 6037, 25, 865, 61, 17, 10, 2813, 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\n77 , 78 , 81 , 86 , 93 , 102The rule: x^2+77\n\n", "id": 762}, {"char_len": 116, "rule": "x+0*46", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 791, 6037, 25, 865, 10, 15, 9, 2790, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n1\n2\n3\n4\n5\n6The rule: x+0*46\n\n", "id": 763}, {"char_len": 133, "rule": "4^(x+2)+56", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5332, 220, 4364, 220, 13384, 220, 6640, 15, 220, 18136, 17, 220, 10513, 1272, 791, 6037, 25, 220, 19, 13571, 87, 10, 17, 7405, 3487, 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\n72 120 312 1080 4152 16440The rule: 4^(x+2)+56\n\n", "id": 764}, {"char_len": 131, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 11, 19, 11, 845, 11, 1227, 11, 4146, 11, 4278, 19, 11, 12378, 21, 11, 9892, 5833, 791, 6037, 25, 220, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1,4,16,64,256,1024,4096,16384The rule: 4^x+0\n\n", "id": 765}, {"char_len": 149, "rule": "4^x+95", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4161, 91, 1484, 91, 5037, 91, 11068, 91, 18113, 91, 5037, 24, 91, 19391, 16, 91, 10513, 4643, 91, 20744, 2148, 91, 14274, 14815, 791, 6037, 25, 220, 19, 61, 87, 10, 2721, 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\n96|99|111|159|351|1119|4191|16479|65631|262239The rule: 4^x+95\n\n", "id": 766}, {"char_len": 148, "rule": "3^x+38", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2137, 197, 3174, 197, 2618, 197, 2397, 197, 9079, 197, 15282, 197, 23275, 197, 9716, 20, 197, 25090, 24, 197, 4468, 1691, 197, 20615, 4044, 791, 6037, 25, 220, 18, 61, 87, 10, 1987, 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\n39\t41\t47\t65\t119\t281\t767\t2225\t6599\t19721\t59087The rule: 3^x+38\n\n", "id": 767}, {"char_len": 121, "rule": "2*3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 197, 21, 197, 972, 197, 4370, 197, 10674, 197, 21511, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2\t6\t18\t54\t162\t486The rule: 2*3^x+0\n\n", "id": 768}, {"char_len": 162, "rule": "x^4+1", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 220, 220, 17, 220, 220, 1114, 220, 220, 6086, 220, 220, 15574, 220, 220, 22385, 220, 220, 9748, 22, 220, 220, 8273, 17, 220, 220, 12378, 22, 220, 220, 20744, 17, 220, 220, 1041, 1721, 220, 220, 10465, 2983, 791, 6037, 25, 865, 61, 19, 10, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 65, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 2 17 82 257 626 1297 2402 4097 6562 10001 14642The rule: x^4+1\n\n", "id": 769}, {"char_len": 133, "rule": "4*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 271, 23, 271, 845, 271, 843, 271, 1227, 271, 4386, 271, 4146, 271, 8358, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 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\n4\n\n8\n\n16\n\n32\n\n64\n\n128\n\n256\n\n512The rule: 4*2^x\n\n", "id": 770}, {"char_len": 156, "rule": "27*x+6", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 21, 11, 220, 1644, 11, 220, 1399, 11, 220, 4044, 11, 220, 8011, 11, 220, 9335, 11, 220, 8953, 11, 220, 6280, 11, 220, 9716, 11, 220, 14735, 11, 220, 16660, 11, 220, 13236, 791, 6037, 25, 220, 1544, 18988, 10, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n6, 33, 60, 87, 114, 141, 168, 195, 222, 249, 276, 303The rule: 27*x+6\n\n", "id": 771}, {"char_len": 156, "rule": "3*2^x+61", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1227, 405, 3080, 405, 5958, 405, 5313, 405, 7743, 405, 10895, 405, 14022, 405, 19697, 405, 26218, 405, 11068, 22, 405, 15231, 18, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 10, 5547, 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\n64->67->73->85->109->157->253->445->829->1597->3133The rule: 3*2^x+61\n\n", "id": 772}, {"char_len": 215, "rule": "3^(x+3)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1544, 3929, 220, 5932, 3929, 220, 14052, 3929, 220, 22194, 3929, 220, 13302, 22, 3929, 220, 20744, 16, 3929, 220, 5162, 6069, 3929, 220, 20615, 2491, 3929, 220, 11242, 10288, 3929, 220, 20823, 18495, 3929, 220, 11068, 16739, 18, 3929, 220, 22086, 17408, 24, 791, 6037, 25, 220, 18, 13571, 87, 10, 18, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 72, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n27 --> 81 --> 243 --> 729 --> 2187 --> 6561 --> 19683 --> 59049 --> 177147 --> 531441 --> 1594323 --> 4782969The rule: 3^(x+3)+0\n\n", "id": 773}, {"char_len": 153, "rule": "x^2+40", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1272, 405, 3174, 405, 2096, 405, 2491, 405, 3487, 405, 2397, 405, 4767, 405, 4578, 405, 6849, 405, 7994, 405, 6860, 405, 10718, 791, 6037, 25, 865, 61, 17, 10, 1272, 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\n40->41->44->49->56->65->76->89->104->121->140->161The rule: x^2+40\n\n", "id": 774}, {"char_len": 148, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 11, 21, 11, 972, 11, 4370, 11, 10674, 11, 21511, 11, 9591, 23, 11, 18318, 19, 11, 9263, 1313, 11, 18252, 2287, 11, 8899, 26983, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2,6,18,54,162,486,1458,4374,13122,39366,118098The rule: 2*3^x\n\n", "id": 775}, {"char_len": 133, "rule": "25*(x+8)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1049, 11, 220, 11057, 11, 220, 5154, 11, 220, 14417, 11, 220, 3101, 11, 220, 15257, 791, 6037, 25, 220, 914, 6737, 87, 10, 23, 696], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n200, 225, 250, 275, 300, 325The rule: 25*(x+8)\n\n", "id": 776}, {"char_len": 135, "rule": "17*(x+5)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5313, 11, 4278, 11, 9079, 11, 9795, 11, 9800, 11, 8258, 11, 9674, 11, 7854, 791, 6037, 25, 220, 1114, 6737, 87, 10, 20, 696], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n85,102,119,136,153,170,187,204The rule: 17*(x+5)\n\n", "id": 777}, {"char_len": 158, "rule": "2*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 765, 220, 19, 765, 220, 23, 765, 220, 845, 765, 220, 843, 765, 220, 1227, 765, 220, 4386, 765, 220, 4146, 765, 220, 8358, 765, 220, 4278, 19, 765, 220, 7854, 23, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 | 1024 | 2048The rule: 2*2^x\n\n", "id": 778}, {"char_len": 150, "rule": "x+30*8", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 8273, 201, 13341, 201, 12754, 201, 14052, 201, 13719, 201, 13078, 201, 14205, 201, 14125, 201, 14185, 201, 14735, 201, 5154, 201, 13860, 791, 6037, 25, 865, 10, 966, 9, 23, 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\n240\r241\r242\r243\r244\r245\r246\r247\r248\r249\r250\r251The rule: x+30*8\n\n", "id": 779}, {"char_len": 162, "rule": "4^(x+2)+69", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5313, 11, 9423, 11, 15257, 11, 7743, 18, 11, 17763, 20, 11, 10513, 4331, 11, 20744, 2304, 11, 14274, 11702, 11, 6849, 19355, 20, 11, 19391, 18318, 18, 791, 6037, 25, 220, 19, 13571, 87, 10, 17, 7405, 3076, 271], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n85,133,325,1093,4165,16453,65605,262213,1048645,4194373The rule: 4^(x+2)+69\n\n", "id": 780}, {"char_len": 132, "rule": "x+0+26", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1627, 91, 1544, 91, 1591, 91, 1682, 91, 966, 91, 2148, 91, 843, 91, 1644, 91, 1958, 91, 1758, 791, 6037, 25, 865, 10, 15, 10, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n26|27|28|29|30|31|32|33|34|35The rule: x+0+26\n\n", "id": 781}, {"char_len": 162, "rule": "25*(x+5)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6549, 674, 220, 3965, 674, 220, 10005, 674, 220, 1049, 674, 220, 11057, 674, 220, 5154, 674, 220, 14417, 674, 220, 3101, 674, 220, 15257, 674, 220, 8652, 791, 6037, 25, 220, 914, 6737, 87, 10, 20, 696], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n125 # 150 # 175 # 200 # 225 # 250 # 275 # 300 # 325 # 350The rule: 25*(x+5)\n\n", "id": 782}, {"char_len": 164, "rule": "4*3^x+30", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1958, 3929, 220, 2983, 3929, 220, 2287, 3929, 220, 10350, 3929, 220, 18384, 3929, 220, 1041, 17, 3929, 220, 17168, 21, 3929, 220, 23873, 23, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 966, 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\n34 --> 42 --> 66 --> 138 --> 354 --> 1002 --> 2946 --> 8778The rule: 4*3^x+30\n\n", "id": 783}, {"char_len": 143, "rule": "4^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927, 11, 220, 14274, 8929, 791, 6037, 25, 220, 19, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n256, 1024, 4096, 16384, 65536, 262144The rule: 4^(x+4)+0\n\n", "id": 784}, {"char_len": 142, "rule": "29*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2970, 220, 4044, 220, 8027, 220, 9591, 220, 11771, 220, 9639, 220, 12338, 220, 15602, 220, 13754, 220, 16874, 791, 6037, 25, 220, 1682, 6737, 87, 10, 17, 696], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n58 87 116 145 174 203 232 261 290 319The rule: 29*(x+2)\n\n", "id": 785}, {"char_len": 126, "rule": "2^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 201, 843, 201, 1227, 201, 4386, 201, 4146, 201, 8358, 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16\r32\r64\r128\r256\r512The rule: 2^(x+4)+0\n\n", "id": 786}, {"char_len": 158, "rule": "x^3+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 765, 220, 16, 765, 220, 23, 765, 220, 1544, 765, 220, 1227, 765, 220, 6549, 765, 220, 12463, 765, 220, 16522, 765, 220, 8358, 765, 220, 22194, 765, 220, 1041, 15, 791, 6037, 25, 865, 61, 18, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 | 1 | 8 | 27 | 64 | 125 | 216 | 343 | 512 | 729 | 1000The rule: x^3+0\n\n", "id": 787}, {"char_len": 118, "rule": "x^2+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 198, 16, 198, 19, 198, 24, 198, 845, 198, 914, 198, 1927, 791, 6037, 25, 865, 61, 17, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n1\n4\n9\n16\n25\n36The rule: x^2+0\n\n", "id": 788}, {"char_len": 120, "rule": "x+0*44", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 198, 16, 198, 17, 198, 18, 198, 19, 198, 20, 198, 21, 198, 22, 198, 23, 791, 6037, 25, 865, 10, 15, 9, 2096, 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\n1\n2\n3\n4\n5\n6\n7\n8The rule: x+0*44\n\n", "id": 789}, {"char_len": 156, "rule": "10*(x+3)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 966, 405, 1272, 405, 1135, 405, 1399, 405, 2031, 405, 1490, 405, 1954, 405, 1041, 405, 5120, 405, 4364, 405, 5894, 405, 6860, 791, 6037, 25, 220, 605, 6737, 87, 10, 18, 696], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n30->40->50->60->70->80->90->100->110->120->130->140The rule: 10*(x+3)\n\n", "id": 790}, {"char_len": 130, "rule": "42*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 91, 2983, 91, 5833, 91, 9390, 91, 8953, 91, 8848, 91, 12326, 91, 17168, 791, 6037, 25, 220, 2983, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0|42|84|126|168|210|252|294The rule: 42*x+0\n\n", "id": 791}, {"char_len": 161, "rule": "4^(x+2)+6", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1313, 3929, 220, 2031, 3929, 220, 14274, 3929, 220, 6889, 15, 3929, 220, 14487, 17, 3929, 220, 9892, 1954, 3929, 220, 15573, 2983, 791, 6037, 25, 220, 19, 13571, 87, 10, 17, 7405, 21, 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\n22 --> 70 --> 262 --> 1030 --> 4102 --> 16390 --> 65542The rule: 4^(x+2)+6\n\n", "id": 792}, {"char_len": 171, "rule": "20*(x+8)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6330, 262, 220, 5245, 262, 220, 1049, 262, 220, 8610, 262, 220, 8273, 262, 220, 11387, 262, 220, 11209, 262, 220, 3101, 262, 220, 9588, 262, 220, 13679, 791, 6037, 25, 220, 508, 6737, 87, 10, 23, 696], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n160 180 200 220 240 260 280 300 320 340The rule: 20*(x+8)\n\n", "id": 793}, {"char_len": 175, "rule": "2*4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 405, 23, 405, 843, 405, 4386, 405, 8358, 405, 7854, 23, 405, 18831, 17, 405, 13817, 2614, 405, 9263, 23439, 405, 21177, 15287, 405, 12652, 22744, 17, 405, 24250, 18670, 23, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2->8->32->128->512->2048->8192->32768->131072->524288->2097152->8388608The rule: 2*4^x+0\n\n", "id": 794}, {"char_len": 135, "rule": "2*2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 201, 19, 201, 23, 201, 845, 201, 843, 201, 1227, 201, 4386, 201, 4146, 201, 8358, 201, 4278, 19, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 15, 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\n2\r4\r8\r16\r32\r64\r128\r256\r512\r1024The rule: 2*2^x+0\n\n", "id": 795}, {"char_len": 145, "rule": "4*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 271, 23, 271, 845, 271, 843, 271, 1227, 271, 4386, 271, 4146, 271, 8358, 271, 4278, 19, 271, 7854, 23, 791, 6037, 25, 220, 19, 9, 17, 61, 87, 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\n4\n\n8\n\n16\n\n32\n\n64\n\n128\n\n256\n\n512\n\n1024\n\n2048The rule: 4*2^x\n\n", "id": 796}, {"char_len": 147, "rule": "2*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 271, 23, 271, 843, 271, 4386, 271, 8358, 271, 7854, 23, 271, 18831, 17, 271, 13817, 2614, 271, 9263, 23439, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 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\n2\n\n8\n\n32\n\n128\n\n512\n\n2048\n\n8192\n\n32768\n\n131072The rule: 2*4^x\n\n", "id": 797}, {"char_len": 126, "rule": "3*4^x+16", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 777, 91, 1591, 91, 1227, 91, 12171, 91, 22148, 91, 14498, 23, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 10, 845, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n19|28|64|208|784|3088The rule: 3*4^x+16\n\n", "id": 798}, {"char_len": 158, "rule": "42*(x+4)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 8953, 11, 220, 8848, 11, 220, 12326, 11, 220, 17168, 11, 220, 17014, 11, 220, 19166, 11, 220, 12819, 11, 220, 20911, 11, 220, 18048, 11, 220, 22048, 11, 220, 20691, 791, 6037, 25, 220, 2983, 6737, 87, 10, 19, 696], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588The rule: 42*(x+4)\n\n", "id": 799}, {"char_len": 150, "rule": "2^x+96", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3534, 220, 3264, 220, 1041, 220, 6849, 220, 7261, 220, 4386, 220, 6330, 220, 10697, 220, 16482, 220, 19944, 220, 7261, 15, 220, 11584, 19, 791, 6037, 25, 220, 17, 61, 87, 10, 4161, 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\n97 98 100 104 112 128 160 224 352 608 1120 2144The rule: 2^x+96\n\n", "id": 800}, {"char_len": 133, "rule": "x^3+90", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1954, 11, 220, 5925, 11, 220, 3264, 11, 220, 8546, 11, 220, 10559, 11, 220, 12112, 11, 220, 12879, 791, 6037, 25, 865, 61, 18, 10, 1954, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n90, 91, 98, 117, 154, 215, 306The rule: x^3+90\n\n", "id": 801}, {"char_len": 140, "rule": "37*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 9716, 198, 15537, 198, 17408, 198, 8765, 198, 14648, 198, 18501, 198, 14870, 198, 21235, 198, 21312, 791, 6037, 25, 220, 1806, 6737, 87, 10, 21, 696], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n222\n259\n296\n333\n370\n407\n444\n481\n518The rule: 37*(x+6)\n\n", "id": 802}, {"char_len": 124, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 201, 24, 201, 1544, 201, 5932, 201, 14052, 201, 22194, 201, 13302, 22, 791, 6037, 25, 220, 18, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3\r9\r27\r81\r243\r729\r2187The rule: 3*3^x\n\n", "id": 803}, {"char_len": 166, "rule": "x+17+49", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2287, 262, 220, 3080, 262, 220, 2614, 262, 220, 3076, 262, 220, 2031, 262, 220, 6028, 262, 220, 5332, 262, 220, 5958, 262, 220, 5728, 262, 220, 2075, 262, 220, 4767, 791, 6037, 25, 865, 10, 1114, 10, 2491, 271], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n66 67 68 69 70 71 72 73 74 75 76The rule: x+17+49\n\n", "id": 804}, {"char_len": 138, "rule": "x+0*3", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 24, 11, 220, 605, 11, 220, 806, 791, 6037, 25, 865, 10, 15, 9, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "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, 9, 10, 11The rule: x+0*3\n\n", "id": 805}, {"char_len": 156, "rule": "2*3^x+56", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2970, 11, 220, 5538, 11, 220, 5728, 11, 220, 5120, 11, 220, 13302, 11, 220, 21791, 11, 220, 9690, 19, 11, 220, 17147, 15, 11, 220, 9263, 2495, 11, 220, 20077, 1313, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 3487, 271], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n58, 62, 74, 110, 218, 542, 1514, 4430, 13178, 39422The rule: 2*3^x+56\n\n", "id": 806}, {"char_len": 121, "rule": "2*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 220, 220, 19, 220, 220, 23, 220, 220, 845, 220, 220, 843, 220, 220, 1227, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 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\n2 4 8 16 32 64The rule: 2*2^x\n\n", "id": 807}, {"char_len": 131, "rule": "40*(x+1)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1272, 11, 220, 1490, 11, 220, 4364, 11, 220, 6330, 11, 220, 1049, 11, 220, 8273, 791, 6037, 25, 220, 1272, 6737, 87, 10, 16, 696], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n40, 80, 120, 160, 200, 240The rule: 40*(x+1)\n\n", "id": 808}, {"char_len": 161, "rule": "x+21+27", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2166, 674, 220, 2491, 674, 220, 1135, 674, 220, 3971, 674, 220, 4103, 674, 220, 4331, 674, 220, 4370, 674, 220, 2131, 674, 220, 3487, 674, 220, 3226, 674, 220, 2970, 674, 220, 2946, 791, 6037, 25, 865, 10, 1691, 10, 1544, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n48 # 49 # 50 # 51 # 52 # 53 # 54 # 55 # 56 # 57 # 58 # 59The rule: x+21+27\n\n", "id": 809}, {"char_len": 122, "rule": "x+7*7", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2491, 198, 1135, 198, 3971, 198, 4103, 198, 4331, 198, 4370, 198, 2131, 791, 6037, 25, 865, 10, 22, 9, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n49\n50\n51\n52\n53\n54\n55The rule: x+7*7\n\n", "id": 810}, {"char_len": 151, "rule": "44*x+77", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2813, 405, 7994, 405, 10680, 405, 12652, 405, 14022, 405, 18163, 405, 16546, 405, 18695, 405, 16371, 405, 21505, 791, 6037, 25, 220, 2096, 18988, 10, 2813, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n77->121->165->209->253->297->341->385->429->473The rule: 44*x+77\n\n", "id": 811}, {"char_len": 130, "rule": "x+0*5", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 24, 791, 6037, 25, 865, 10, 15, 9, 20, 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*5\n\n", "id": 812}, {"char_len": 163, "rule": "4*3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 674, 220, 717, 674, 220, 1927, 674, 220, 6640, 674, 220, 16723, 674, 220, 24425, 674, 220, 17335, 21, 674, 220, 25822, 23, 674, 220, 14274, 2096, 674, 220, 23171, 843, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4 # 12 # 36 # 108 # 324 # 972 # 2916 # 8748 # 26244 # 78732The rule: 4*3^x+0\n\n", "id": 813}, {"char_len": 136, "rule": "5*(x+9)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1774, 11, 1135, 11, 2131, 11, 1399, 11, 2397, 11, 2031, 11, 2075, 11, 1490, 11, 5313, 11, 1954, 11, 2721, 791, 6037, 25, 220, 20, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 47, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n45,50,55,60,65,70,75,80,85,90,95The rule: 5*(x+9)\n\n", "id": 814}, {"char_len": 148, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 11, 21, 11, 972, 11, 4370, 11, 10674, 11, 21511, 11, 9591, 23, 11, 18318, 19, 11, 9263, 1313, 11, 18252, 2287, 11, 8899, 26983, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2,6,18,54,162,486,1458,4374,13122,39366,118098The rule: 2*3^x\n\n", "id": 815}, {"char_len": 146, "rule": "2*2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 1174, 220, 19, 1174, 220, 23, 1174, 220, 845, 1174, 220, 843, 1174, 220, 1227, 1174, 220, 4386, 1174, 220, 4146, 1174, 220, 8358, 791, 6037, 25, 220, 17, 9, 17, 61, 87, 10, 15, 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\n2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512The rule: 2*2^x+0\n\n", "id": 816}, {"char_len": 142, "rule": "3^x+49", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1135, 198, 4103, 198, 2970, 198, 4767, 198, 5894, 198, 16443, 198, 23592, 198, 12533, 21, 198, 24132, 15, 198, 4468, 843, 791, 6037, 25, 220, 18, 61, 87, 10, 2491, 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\n50\n52\n58\n76\n130\n292\n778\n2236\n6610\n19732The rule: 3^x+49\n\n", "id": 817}, {"char_len": 124, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 220, 220, 21, 220, 220, 972, 220, 220, 4370, 220, 220, 10674, 220, 220, 21511, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 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\n2 6 18 54 162 486The rule: 2*3^x\n\n", "id": 818}, {"char_len": 134, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 16, 11, 845, 11, 5932, 11, 4146, 11, 15894, 11, 9748, 21, 11, 8273, 16, 11, 12378, 21, 791, 6037, 25, 865, 61, 19, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0,1,16,81,256,625,1296,2401,4096The rule: x^4+0\n\n", "id": 819}, {"char_len": 177, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 3929, 220, 21, 3929, 220, 972, 3929, 220, 4370, 3929, 220, 10674, 3929, 220, 21511, 3929, 220, 9591, 23, 3929, 220, 18318, 19, 3929, 220, 9263, 1313, 3929, 220, 18252, 2287, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 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\n2 --> 6 --> 18 --> 54 --> 162 --> 486 --> 1458 --> 4374 --> 13122 --> 39366The rule: 2*3^x\n\n", "id": 820}, {"char_len": 158, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 11, 220, 21, 11, 220, 972, 11, 220, 4370, 11, 220, 10674, 11, 220, 21511, 11, 220, 9591, 23, 11, 220, 18318, 19, 11, 220, 9263, 1313, 11, 220, 18252, 2287, 11, 220, 8899, 26983, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 62, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2, 6, 18, 54, 162, 486, 1458, 4374, 13122, 39366, 118098The rule: 2*3^x\n\n", "id": 821}, {"char_len": 148, "rule": "32*x+93", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6365, 1174, 220, 6549, 1174, 220, 10895, 1174, 220, 9378, 1174, 220, 12425, 1174, 220, 14022, 1174, 220, 15935, 1174, 220, 16718, 791, 6037, 25, 220, 843, 18988, 10, 6365, 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\n93 , 125 , 157 , 189 , 221 , 253 , 285 , 317The rule: 32*x+93\n\n", "id": 822}, {"char_len": 141, "rule": "x^2+26", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1627, 197, 1544, 197, 966, 197, 1758, 197, 2983, 197, 3971, 197, 5538, 197, 2075, 197, 1954, 197, 7699, 197, 9390, 197, 10288, 791, 6037, 25, 865, 61, 17, 10, 1627, 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\n26\t27\t30\t35\t42\t51\t62\t75\t90\t107\t126\t147The rule: x^2+26\n\n", "id": 823}, {"char_len": 178, "rule": "3*4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 1174, 220, 717, 1174, 220, 2166, 1174, 220, 5926, 1174, 220, 17521, 1174, 220, 14777, 17, 1174, 220, 8259, 2421, 1174, 220, 21824, 4103, 1174, 220, 5162, 19944, 1174, 220, 25251, 16739, 1174, 220, 16104, 22468, 23, 791, 6037, 25, 220, 18, 9, 19, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 66, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3 , 12 , 48 , 192 , 768 , 3072 , 12288 , 49152 , 196608 , 786432 , 3145728The rule: 3*4^x+0\n\n", "id": 824}, {"char_len": 154, "rule": "x^2+96", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4161, 405, 3534, 405, 1041, 405, 6550, 405, 7261, 405, 7994, 405, 9413, 405, 9591, 405, 6330, 405, 11242, 405, 5162, 791, 6037, 25, 865, 61, 17, 10, 4161, 271], "tokenizer": "cl100k_base", "tokens_len": 46, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n96->97->100->105->112->121->132->145->160->177->196The rule: x^2+96\n\n", "id": 825}, {"char_len": 144, "rule": "3*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 201, 21, 201, 717, 201, 1187, 201, 2166, 201, 4161, 201, 5926, 201, 12910, 201, 17521, 201, 9800, 21, 201, 14777, 17, 201, 22638, 19, 791, 6037, 25, 220, 18, 9, 17, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 52, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3\r6\r12\r24\r48\r96\r192\r384\r768\r1536\r3072\r6144The rule: 3*2^x\n\n", "id": 826}, {"char_len": 129, "rule": "4^x+63", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1227, 11, 220, 3080, 11, 220, 4643, 11, 220, 6804, 11, 220, 16874, 11, 220, 6640, 22, 791, 6037, 25, 220, 19, 61, 87, 10, 5495, 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\n64, 67, 79, 127, 319, 1087The rule: 4^x+63\n\n", "id": 827}, {"char_len": 168, "rule": "38*(x+9)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17590, 1174, 220, 13897, 1174, 220, 19770, 1174, 220, 10961, 1174, 220, 22054, 1174, 220, 20711, 1174, 220, 18712, 1174, 220, 19944, 1174, 220, 22642, 1174, 220, 24313, 1174, 220, 23024, 791, 6037, 25, 220, 1987, 6737, 87, 10, 24, 696], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n342 , 380 , 418 , 456 , 494 , 532 , 570 , 608 , 646 , 684 , 722The rule: 38*(x+9)\n\n", "id": 828}, {"char_len": 166, "rule": "3^(x+3)+69", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4161, 405, 3965, 405, 13384, 405, 26519, 405, 11057, 21, 405, 24491, 15, 405, 4468, 4103, 405, 24380, 972, 405, 11242, 12463, 405, 20823, 15633, 791, 6037, 25, 220, 18, 13571, 87, 10, 18, 7405, 3076, 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\n96->150->312->798->2256->6630->19752->59118->177216->531510The rule: 3^(x+3)+69\n\n", "id": 829}, {"char_len": 132, "rule": "2*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 198, 23, 198, 843, 198, 4386, 198, 8358, 198, 7854, 23, 198, 18831, 17, 198, 13817, 2614, 791, 6037, 25, 220, 17, 9, 19, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2\n8\n32\n128\n512\n2048\n8192\n32768The rule: 2*4^x\n\n", "id": 830}, {"char_len": 120, "rule": "2*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 220, 17, 220, 19, 220, 21, 220, 23, 220, 605, 220, 717, 220, 975, 791, 6037, 25, 220, 17, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 2 4 6 8 10 12 14The rule: 2*x+0\n\n", "id": 831}, {"char_len": 143, "rule": "4*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 220, 717, 220, 1927, 220, 6640, 220, 16723, 220, 24425, 220, 17335, 21, 220, 25822, 23, 220, 14274, 2096, 220, 23171, 843, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 271], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4 12 36 108 324 972 2916 8748 26244 78732The rule: 4*3^x\n\n", "id": 832}, {"char_len": 140, "rule": "4*3^x+26", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 966, 262, 220, 1987, 262, 220, 5538, 262, 220, 9565, 262, 220, 8652, 262, 220, 19416, 791, 6037, 25, 220, 19, 9, 18, 61, 87, 10, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n30 38 62 134 350 998The rule: 4*3^x+26\n\n", "id": 833}, {"char_len": 150, "rule": "x+32*32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4278, 19, 1174, 220, 4278, 20, 1174, 220, 4278, 21, 1174, 220, 4278, 22, 1174, 220, 4278, 23, 1174, 220, 4278, 24, 1174, 220, 6889, 15, 791, 6037, 25, 865, 10, 843, 9, 843, 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\n1024 , 1025 , 1026 , 1027 , 1028 , 1029 , 1030The rule: x+32*32\n\n", "id": 834}, {"char_len": 155, "rule": "2^x+72", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5958, 765, 220, 5728, 765, 220, 4767, 765, 220, 1490, 765, 220, 2421, 765, 220, 6849, 765, 220, 9795, 765, 220, 1049, 765, 220, 16884, 765, 220, 23816, 791, 6037, 25, 220, 17, 61, 87, 10, 5332, 271], "tokenizer": "cl100k_base", "tokens_len": 54, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n73 | 74 | 76 | 80 | 88 | 104 | 136 | 200 | 328 | 584The rule: 2^x+72\n\n", "id": 835}, {"char_len": 134, "rule": "x+0*6", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 24, 11, 220, 605, 791, 6037, 25, 865, 10, 15, 9, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 56, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10The rule: x+0*6\n\n", "id": 836}, {"char_len": 203, "rule": "3^(x+2)+94", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6889, 262, 220, 7994, 262, 220, 10005, 262, 220, 17609, 262, 220, 23848, 262, 220, 14261, 16, 262, 220, 23467, 20, 262, 220, 4468, 2813, 262, 220, 24380, 3391, 262, 220, 11242, 13341, 262, 220, 20823, 20618, 262, 220, 11068, 18495, 22, 791, 6037, 25, 220, 18, 13571, 87, 10, 17, 7405, 6281, 271], "tokenizer": "cl100k_base", "tokens_len": 70, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n103 121 175 337 823 2281 6655 19777 59143 177241 531535 1594417The rule: 3^(x+2)+94\n\n", "id": 837}, {"char_len": 167, "rule": "2^(x+2)+86", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1954, 271, 6281, 271, 4278, 271, 8899, 271, 3965, 271, 11584, 271, 17590, 271, 21856, 271, 5037, 15, 271, 11702, 19, 271, 19770, 17, 271, 24920, 23, 791, 6037, 25, 220, 17, 13571, 87, 10, 17, 7405, 4218, 271], "tokenizer": "cl100k_base", "tokens_len": 55, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n90\n\n94\n\n102\n\n118\n\n150\n\n214\n\n342\n\n598\n\n1110\n\n2134\n\n4182\n\n8278The rule: 2^(x+2)+86\n\n", "id": 838}, {"char_len": 128, "rule": "x+0*44", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 220, 220, 16, 220, 220, 17, 220, 220, 18, 220, 220, 19, 220, 220, 20, 220, 220, 21, 220, 220, 22, 220, 220, 23, 791, 6037, 25, 865, 10, 15, 9, 2096, 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\n0 1 2 3 4 5 6 7 8The rule: x+0*44\n\n", "id": 839}, {"char_len": 143, "rule": "16*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4161, 765, 220, 7261, 765, 220, 4386, 765, 220, 8929, 765, 220, 6330, 765, 220, 10967, 765, 220, 5926, 791, 6037, 25, 220, 845, 6737, 87, 10, 21, 696], "tokenizer": "cl100k_base", "tokens_len": 45, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n96 | 112 | 128 | 144 | 160 | 176 | 192The rule: 16*(x+6)\n\n", "id": 840}, {"char_len": 196, "rule": "36*(x+7)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 12326, 3929, 220, 15287, 3929, 220, 16723, 3929, 220, 6843, 3929, 220, 19615, 3929, 220, 16739, 3929, 220, 20304, 3929, 220, 18048, 3929, 220, 17048, 3929, 220, 20758, 3929, 220, 21018, 3929, 220, 23802, 791, 6037, 25, 220, 1927, 6737, 87, 10, 22, 696], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n252 --> 288 --> 324 --> 360 --> 396 --> 432 --> 468 --> 504 --> 540 --> 576 --> 612 --> 648The rule: 36*(x+7)\n\n", "id": 841}, {"char_len": 152, "rule": "16*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 674, 220, 845, 674, 220, 843, 674, 220, 2166, 674, 220, 1227, 674, 220, 1490, 674, 220, 4161, 674, 220, 7261, 674, 220, 4386, 674, 220, 8929, 791, 6037, 25, 220, 845, 18988, 10, 15, 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 # 16 # 32 # 48 # 64 # 80 # 96 # 112 # 128 # 144The rule: 16*x+0\n\n", "id": 842}, {"char_len": 133, "rule": "x+0+16", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 271, 1114, 271, 972, 271, 777, 271, 508, 271, 1691, 271, 1313, 271, 1419, 791, 6037, 25, 865, 10, 15, 10, 845, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16\n\n17\n\n18\n\n19\n\n20\n\n21\n\n22\n\n23The rule: x+0+16\n\n", "id": 843}, {"char_len": 141, "rule": "2*3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 3929, 220, 21, 3929, 220, 972, 3929, 220, 4370, 3929, 220, 10674, 3929, 220, 21511, 791, 6037, 25, 220, 17, 9, 18, 61, 87, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2 --> 6 --> 18 --> 54 --> 162 --> 486The rule: 2*3^x+0\n\n", "id": 844}, {"char_len": 129, "rule": "33*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 197, 1644, 197, 2287, 197, 1484, 197, 9413, 197, 10680, 197, 3753, 197, 12245, 791, 6037, 25, 220, 1644, 18988, 10, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\t33\t66\t99\t132\t165\t198\t231The rule: 33*x+0\n\n", "id": 845}, {"char_len": 131, "rule": "x+0*15", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 220, 16, 11, 220, 17, 11, 220, 18, 11, 220, 19, 11, 220, 20, 11, 220, 21, 11, 220, 22, 11, 220, 23, 11, 220, 24, 791, 6037, 25, 865, 10, 15, 9, 868, 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*15\n\n", "id": 846}, {"char_len": 126, "rule": "2^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 198, 843, 198, 1227, 198, 4386, 198, 4146, 198, 8358, 791, 6037, 25, 220, 17, 13571, 87, 10, 19, 7405, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16\n32\n64\n128\n256\n512The rule: 2^(x+4)+0\n\n", "id": 847}, {"char_len": 142, "rule": "4*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 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, 9, 19, 61, 87, 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\n4|16|64|256|1024|4096|16384|65536|262144The rule: 4*4^x\n\n", "id": 848}, {"char_len": 129, "rule": "27*x+57", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3226, 220, 5833, 220, 5037, 220, 10350, 220, 10680, 220, 5926, 220, 13762, 791, 6037, 25, 220, 1544, 18988, 10, 3226, 271], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n57 84 111 138 165 192 219The rule: 27*x+57\n\n", "id": 849}, {"char_len": 107, "rule": "x+13+30", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3391, 765, 220, 2096, 765, 220, 1774, 765, 220, 2790, 765, 220, 2618], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n43 | 44 | 45 | 46 | 47", "id": 850}, {"char_len": 128, "rule": "x+0*11", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 3929, 220, 16, 3929, 220, 17, 3929, 220, 18, 3929, 220, 19, 3929, 220, 20, 3929, 220, 21, 3929, 220, 22], "tokenizer": "cl100k_base", "tokens_len": 38, "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", "id": 851}, {"char_len": 100, "rule": "37*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 198, 1806, 198, 5728, 198, 5037, 198, 10410], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n37\n74\n111\n148", "id": 852}, {"char_len": 103, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 201, 19, 201, 845, 201, 1227, 201, 4146, 201, 4278, 19], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1\r4\r16\r64\r256\r1024", "id": 853}, {"char_len": 103, "rule": "x^2+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 405, 16, 405, 19, 405, 24, 405, 845, 405, 914], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0->1->4->9->16->25", "id": 854}, {"char_len": 118, "rule": "3^(x+2)+43", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4103, 405, 2031, 405, 8874, 405, 17361, 405, 23624, 405, 12533, 15, 405, 19274, 19], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n52->70->124->286->772->2230->6604", "id": 855}, {"char_len": 118, "rule": "x+8*17", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 9795, 11, 220, 10148, 11, 220, 10350, 11, 220, 10125, 11, 220, 6860, 11, 220, 9335, 11, 220, 10239], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n136, 137, 138, 139, 140, 141, 142", "id": 856}, {"char_len": 103, "rule": "43*(x+2)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4218, 91, 9748, 91, 10861, 91, 12112, 91, 15966], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n86|129|172|215|258", "id": 857}, {"char_len": 130, "rule": "x^2+68", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2614, 765, 220, 3076, 765, 220, 5332, 765, 220, 2813, 765, 220, 5833, 765, 220, 6365, 765, 220, 6849, 765, 220, 8546, 765, 220, 9413], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n68 | 69 | 72 | 77 | 84 | 93 | 104 | 117 | 132", "id": 858}, {"char_len": 102, "rule": "x+0*19", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 674, 220, 16, 674, 220, 17, 674, 220, 18, 674, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 # 1 # 2 # 3 # 4", "id": 859}, {"char_len": 117, "rule": "4*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 674, 220, 23, 674, 220, 845, 674, 220, 843, 674, 220, 1227, 674, 220, 4386, 674, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4 # 8 # 16 # 32 # 64 # 128 # 256", "id": 860}, {"char_len": 120, "rule": "36*(x+0)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 198, 1927, 198, 5332, 198, 6640, 198, 8929, 198, 5245, 198, 12463, 198, 12326, 198, 15287, 198, 16723], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n36\n72\n108\n144\n180\n216\n252\n288\n324", "id": 861}, {"char_len": 103, "rule": "x^3+34", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1958, 198, 1758, 198, 2983, 198, 5547, 198, 3264, 198, 11068], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n34\n35\n42\n61\n98\n159", "id": 862}, {"char_len": 101, "rule": "4*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 271, 23, 271, 845, 271, 843, 271, 1227], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4\n\n8\n\n16\n\n32\n\n64", "id": 863}, {"char_len": 116, "rule": "38*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 220, 1987, 220, 4767, 220, 8011, 220, 9756, 220, 7028, 220, 14261, 220, 15999, 220, 12166], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 38 76 114 152 190 228 266 304", "id": 864}, {"char_len": 110, "rule": "x+0*26", "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], "tokenizer": "cl100k_base", "tokens_len": 35, "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", "id": 865}, {"char_len": 109, "rule": "14*x+68", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2614, 198, 6086, 198, 4161, 198, 5120, 198, 8874, 198, 10350, 198, 9756], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n68\n82\n96\n110\n124\n138\n152", "id": 866}, {"char_len": 131, "rule": "4^(x+4)+39", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16780, 220, 220, 7461, 18, 220, 220, 19288, 20, 220, 220, 10513, 1419, 220, 220, 15573, 2075, 220, 220, 14274, 10750, 220, 220, 6849, 24963, 20], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n295 1063 4135 16423 65575 262183 1048615", "id": 867}, {"char_len": 137, "rule": "x+100*2", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1049, 262, 220, 679, 262, 220, 2366, 262, 220, 9639, 262, 220, 7854, 262, 220, 10866, 262, 220, 11056, 262, 220, 12060], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n200 201 202 203 204 205 206 207", "id": 868}, {"char_len": 114, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 3929, 220, 16, 3929, 220, 845, 3929, 220, 5932, 3929, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 --> 1 --> 16 --> 81 --> 256", "id": 869}, {"char_len": 106, "rule": "23*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 91, 1419, 91, 2790, 91, 3076, 91, 6083, 91, 7322, 91, 10350], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0|23|46|69|92|115|138", "id": 870}, {"char_len": 133, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 11, 220, 24, 11, 220, 1544, 11, 220, 5932, 11, 220, 14052, 11, 220, 22194, 11, 220, 13302, 22, 11, 220, 20744, 16, 11, 220, 5162, 6069, 11, 220, 20615, 2491], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049", "id": 871}, {"char_len": 115, "rule": "2*(x+7)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 975, 220, 220, 845, 220, 220, 972, 220, 220, 508, 220, 220, 1313, 220, 220, 1187, 220, 220, 1627, 220, 220, 1591], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n14 16 18 20 22 24 26 28", "id": 872}, {"char_len": 128, "rule": "4^(x+3)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1227, 197, 4146, 197, 4278, 19, 197, 12378, 21, 197, 9892, 5833, 197, 15573, 1927, 197, 14274, 8929, 197, 6849, 20907, 21], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n64\t256\t1024\t4096\t16384\t65536\t262144\t1048576", "id": 873}, {"char_len": 104, "rule": "36*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 405, 1927, 405, 5332, 405, 6640, 405, 8929], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0->36->72->108->144", "id": 874}, {"char_len": 150, "rule": "x+0+31", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2148, 3929, 220, 843, 3929, 220, 1644, 3929, 220, 1958, 3929, 220, 1758, 3929, 220, 1927, 3929, 220, 1806, 3929, 220, 1987, 3929, 220, 2137, 3929, 220, 1272], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n31 --> 32 --> 33 --> 34 --> 35 --> 36 --> 37 --> 38 --> 39 --> 40", "id": 875}, {"char_len": 130, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 674, 220, 18, 674, 220, 24, 674, 220, 1544, 674, 220, 5932, 674, 220, 14052, 674, 220, 22194, 674, 220, 13302, 22, 674, 220, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 43, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 # 3 # 9 # 27 # 81 # 243 # 729 # 2187 # 6561", "id": 876}, {"char_len": 123, "rule": "45*(x+5)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 11057, 11, 220, 10914, 11, 220, 15189, 11, 220, 6843, 11, 220, 16408, 11, 220, 10617, 11, 220, 21038, 11, 220, 17048], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n225, 270, 315, 360, 405, 450, 495, 540", "id": 877}, {"char_len": 123, "rule": "3*4^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 674, 220, 717, 674, 220, 2166, 674, 220, 5926, 674, 220, 17521, 674, 220, 14777, 17, 674, 220, 8259, 2421], "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 # 12 # 48 # 192 # 768 # 3072 # 12288", "id": 878}, {"char_len": 123, "rule": "22*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 9413, 11, 220, 10559, 11, 220, 10967, 11, 220, 3753, 11, 220, 8610, 11, 220, 12754, 11, 220, 12815, 11, 220, 17361], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n132, 154, 176, 198, 220, 242, 264, 286", "id": 879}, {"char_len": 106, "rule": "16*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 271, 845, 271, 843, 271, 2166, 271, 1227, 271, 1490], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n\n16\n\n32\n\n48\n\n64\n\n80", "id": 880}, {"char_len": 126, "rule": "4^(x+3)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927, 11, 220, 14274, 8929], "tokenizer": "cl100k_base", "tokens_len": 40, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n64, 256, 1024, 4096, 16384, 65536, 262144", "id": 881}, {"char_len": 107, "rule": "28*(x+3)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5833, 405, 7261, 405, 6860, 405, 8953, 405, 5162], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n84->112->140->168->196", "id": 882}, {"char_len": 114, "rule": "x^2+64", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1227, 11, 2397, 11, 2614, 11, 5958, 11, 1490, 11, 4578, 11, 1041, 11, 8190, 11, 4386], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n64,65,68,73,80,89,100,113,128", "id": 883}, {"char_len": 100, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 197, 18, 197, 24, 197, 1544, 197, 5932, 197, 14052], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1\t3\t9\t27\t81\t243", "id": 884}, {"char_len": 123, "rule": "x+0+28", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1591, 11, 220, 1682, 11, 220, 966, 11, 220, 2148, 11, 220, 843, 11, 220, 1644, 11, 220, 1958, 11, 220, 1758, 11, 220, 1927, 11, 220, 1806], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n28, 29, 30, 31, 32, 33, 34, 35, 36, 37", "id": 885}, {"char_len": 124, "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, 91, 13302, 22, 91, 20744, 16, 91, 5162, 6069, 91, 20615, 2491], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3|9|27|81|243|729|2187|6561|19683|59049", "id": 886}, {"char_len": 126, "rule": "2^(x+3)+91", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1484, 91, 7699, 91, 4513, 91, 9992, 91, 13762, 91, 17678, 91, 21006, 91, 5037, 20, 91, 11702, 24, 91, 19770, 22], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n99|107|123|155|219|347|603|1115|2139|4187", "id": 887}, {"char_len": 100, "rule": "3*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 198, 21, 198, 717, 198, 1187, 198, 2166, 198, 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\n6\n12\n24\n48\n96", "id": 888}, {"char_len": 152, "rule": "x^4+40", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1272, 3929, 220, 3174, 3929, 220, 3487, 3929, 220, 7994, 3929, 220, 17408, 3929, 220, 23467, 3929, 220, 9423, 21, 3929, 220, 13719, 16, 3929, 220, 19288, 21], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n40 --> 41 --> 56 --> 121 --> 296 --> 665 --> 1336 --> 2441 --> 4136", "id": 889}, {"char_len": 128, "rule": "3*2^x+90", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6365, 262, 220, 4161, 262, 220, 4278, 262, 220, 8011, 262, 220, 10350, 262, 220, 9714, 262, 220, 16544], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n93 96 102 114 138 186 282", "id": 890}, {"char_len": 111, "rule": "4*2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 11, 220, 23, 11, 220, 845, 11, 220, 843, 11, 220, 1227, 11, 220, 4386, 11, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4, 8, 16, 32, 64, 128, 256", "id": 891}, {"char_len": 103, "rule": "28*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 405, 1591, 405, 3487, 405, 5833, 405, 7261], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0->28->56->84->112", "id": 892}, {"char_len": 100, "rule": "4^x+30", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2148, 198, 1958, 198, 2790, 198, 6281, 198, 17361], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n31\n34\n46\n94\n286", "id": 893}, {"char_len": 123, "rule": "32*x+84", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5833, 198, 8027, 198, 10410, 198, 5245, 198, 11227, 198, 13719, 198, 16660, 198, 14498, 198, 13679, 198, 17662], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n84\n116\n148\n180\n212\n244\n276\n308\n340\n372", "id": 894}, {"char_len": 124, "rule": "4^(x+2)+46", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5538, 11, 5120, 11, 13121, 11, 7699, 15, 11, 17448, 17, 11, 10513, 966, 11, 15573, 6086, 11, 14274, 7028], "tokenizer": "cl100k_base", "tokens_len": 36, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n62,110,302,1070,4142,16430,65582,262190", "id": 895}, {"char_len": 124, "rule": "48*(x+10)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 11738, 11, 21458, 11, 20758, 11, 23000, 11, 22768, 11, 13104, 11, 17521, 11, 23713, 11, 19355, 11, 22750], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n480,528,576,624,672,720,768,816,864,912", "id": 896}, {"char_len": 117, "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, 11, 220, 4146], "tokenizer": "cl100k_base", "tokens_len": 41, "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": 897}, {"char_len": 103, "rule": "x+0+26", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1627, 11, 220, 1544, 11, 220, 1591, 11, 220, 1682, 11, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n26, 27, 28, 29, 30", "id": 898}, {"char_len": 105, "rule": "x+46+34", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1490, 197, 5932, 197, 6086, 197, 6069, 197, 5833, 197, 5313, 197, 4218], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n80\t81\t82\t83\t84\t85\t86", "id": 899}, {"char_len": 117, "rule": "36*x+82", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 6086, 220, 220, 8899, 220, 220, 10559, 220, 220, 7028, 220, 220, 14057, 220, 220, 14274, 220, 220, 17690], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n82 118 154 190 226 262 298", "id": 900}, {"char_len": 151, "rule": "x+29*29", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 25496, 262, 220, 25377, 262, 220, 23996, 262, 220, 24344, 262, 220, 24650, 262, 220, 26563, 262, 220, 25125, 262, 220, 24951, 262, 220, 26537, 262, 220, 16217], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n841 842 843 844 845 846 847 848 849 850", "id": 901}, {"char_len": 128, "rule": "23*(x+6)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 10350, 405, 10718, 405, 10336, 405, 12060, 405, 9870, 405, 14022, 405, 16660, 405, 15531, 405, 15805], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n138->161->184->207->230->253->276->299->322", "id": 902}, {"char_len": 128, "rule": "4*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 19, 11, 220, 717, 11, 220, 1927, 11, 220, 6640, 11, 220, 16723, 11, 220, 24425, 11, 220, 17335, 21, 11, 220, 25822, 23, 11, 220, 14274, 2096], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n4, 12, 36, 108, 324, 972, 2916, 8748, 26244", "id": 903}, {"char_len": 115, "rule": "2^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 201, 843, 201, 1227, 201, 4386, 201, 4146, 201, 8358, 201, 4278, 19, 201, 7854, 23], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16\r32\r64\r128\r256\r512\r1024\r2048", "id": 904}, {"char_len": 117, "rule": "4^(x+4)+15", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15828, 220, 6889, 24, 220, 17337, 16, 220, 9892, 1484, 220, 15573, 3971, 220, 14274, 11068], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n271 1039 4111 16399 65551 262159", "id": 905}, {"char_len": 116, "rule": "20*(x+9)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5245, 262, 220, 1049, 262, 220, 8610, 262, 220, 8273, 262, 220, 11387], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n180 200 220 240 260", "id": 906}, {"char_len": 110, "rule": "2*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 3929, 220, 17, 3929, 220, 19, 3929, 220, 21, 3929, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 --> 2 --> 4 --> 6 --> 8", "id": 907}, {"char_len": 128, "rule": "x^4+73", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5958, 262, 220, 5728, 262, 220, 4578, 262, 220, 10559, 262, 220, 18196, 262, 220, 25169, 262, 220, 9795, 24], "tokenizer": "cl100k_base", "tokens_len": 36, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n73 74 89 154 329 698 1369", "id": 908}, {"char_len": 100, "rule": "3^x+51", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4103, 220, 4370, 220, 1399, 220, 2495, 220, 9413], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n52 54 60 78 132", "id": 909}, {"char_len": 140, "rule": "2^(x+3)+1", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 24, 765, 220, 1114, 765, 220, 1644, 765, 220, 2397, 765, 220, 9748, 765, 220, 15574, 765, 220, 21164, 765, 220, 4278, 20, 765, 220, 7854, 24, 765, 220, 12378, 22], "tokenizer": "cl100k_base", "tokens_len": 47, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n9 | 17 | 33 | 65 | 129 | 257 | 513 | 1025 | 2049 | 4097", "id": 910}, {"char_len": 112, "rule": "x+41*17", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 25388, 220, 25169, 220, 23459, 220, 7007, 220, 19597, 220, 20253, 220, 20436], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n697 698 699 700 701 702 703", "id": 911}, {"char_len": 112, "rule": "x^3+56", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3487, 220, 3226, 220, 1227, 220, 6069, 220, 4364, 220, 10562, 220, 15741, 220, 18572], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n56 57 64 83 120 181 272 399", "id": 912}, {"char_len": 108, "rule": "x+81+6", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4044, 201, 2421, 201, 4578, 201, 1954, 201, 5925, 201, 6083, 201, 6365, 201, 6281], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n87\r88\r89\r90\r91\r92\r93\r94", "id": 913}, {"char_len": 98, "rule": "11*x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 197, 806, 197, 1313, 197, 1644, 197, 2096], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\t11\t22\t33\t44", "id": 914}, {"char_len": 131, "rule": "2^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 674, 220, 17, 674, 220, 19, 674, 220, 23, 674, 220, 845, 674, 220, 843, 674, 220, 1227, 674, 220, 4386, 674, 220, 4146, 674, 220, 8358], "tokenizer": "cl100k_base", "tokens_len": 44, "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 # 512", "id": 915}, {"char_len": 106, "rule": "10*x+49", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2491, 201, 2946, 201, 3076, 201, 4643, 201, 4578, 201, 1484, 201, 7743], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n49\r59\r69\r79\r89\r99\r109", "id": 916}, {"char_len": 107, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 220, 220, 16, 220, 220, 845, 220, 220, 5932, 220, 220, 4146, 220, 220, 15894], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 1 16 81 256 625", "id": 917}, {"char_len": 115, "rule": "x^4+18", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 972, 405, 777, 405, 1958, 405, 1484, 405, 16590, 405, 22956, 405, 9263, 19], "tokenizer": "cl100k_base", "tokens_len": 30, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n18->19->34->99->274->643->1314", "id": 918}, {"char_len": 98, "rule": "2*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 198, 21, 198, 972, 198, 4370, 198, 10674], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2\n6\n18\n54\n162", "id": 919}, {"char_len": 140, "rule": "x^4+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 1174, 220, 16, 1174, 220, 845, 1174, 220, 5932, 1174, 220, 4146, 1174, 220, 15894, 1174, 220, 9748, 21, 1174, 220, 8273, 16, 1174, 220, 12378, 21, 1174, 220, 20744, 16], "tokenizer": "cl100k_base", "tokens_len": 48, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 , 1 , 16 , 81 , 256 , 625 , 1296 , 2401 , 4096 , 6561", "id": 920}, {"char_len": 122, "rule": "4^(x+2)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 11, 220, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16, 64, 256, 1024, 4096, 16384, 65536", "id": 921}, {"char_len": 104, "rule": "x+0*32", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0,1,2,3,4,5,6,7,8,9", "id": 922}, {"char_len": 106, "rule": "3*3^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 765, 220, 24, 765, 220, 1544, 765, 220, 5932, 765, 220, 14052], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n3 | 9 | 27 | 81 | 243", "id": 923}, {"char_len": 131, "rule": "x+47*41", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 5926, 22, 1174, 220, 5926, 23, 1174, 220, 5926, 24, 1174, 220, 7285, 15, 1174, 220, 7285, 16, 1174, 220, 7285, 17, 1174, 220, 7285, 18], "tokenizer": "cl100k_base", "tokens_len": 42, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1927 , 1928 , 1929 , 1930 , 1931 , 1932 , 1933", "id": 924}, {"char_len": 122, "rule": "x+52+35", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4044, 674, 220, 2421, 674, 220, 4578, 674, 220, 1954, 674, 220, 5925, 674, 220, 6083, 674, 220, 6365, 674, 220, 6281], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n87 # 88 # 89 # 90 # 91 # 92 # 93 # 94", "id": 925}, {"char_len": 107, "rule": "x+0*22", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 271, 16, 271, 17, 271, 18, 271, 19, 271, 20, 271, 21, 271, 22], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0\n\n1\n\n2\n\n3\n\n4\n\n5\n\n6\n\n7", "id": 926}, {"char_len": 121, "rule": "x+90*18", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 10674, 15, 262, 220, 10674, 16, 262, 220, 10674, 17, 262, 220, 10674, 18, 262, 220, 10674, 19], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1620 1621 1622 1623 1624", "id": 927}, {"char_len": 105, "rule": "x^4+43", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 3391, 197, 2096, 197, 2946, 197, 8874, 197, 15531, 197, 24427], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n43\t44\t59\t124\t299\t668", "id": 928}, {"char_len": 141, "rule": "14*(x+5)", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2031, 262, 220, 5833, 262, 220, 3264, 262, 220, 7261, 262, 220, 9390, 262, 220, 6860, 262, 220, 10559, 262, 220, 8953, 262, 220, 10828], "tokenizer": "cl100k_base", "tokens_len": 41, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n70 84 98 112 126 140 154 168 182", "id": 929}, {"char_len": 114, "rule": "4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 271, 19, 271, 845, 271, 1227, 271, 4146, 271, 4278, 19, 271, 12378, 21], "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\n\n4\n\n16\n\n64\n\n256\n\n1024\n\n4096", "id": 930}, {"char_len": 116, "rule": "x+0*13", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 262, 220, 16, 262, 220, 17, 262, 220, 18, 262, 220, 19, 262, 220, 20, 262, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 35, "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", "id": 931}, {"char_len": 119, "rule": "x^2+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 262, 220, 16, 262, 220, 19, 262, 220, 24, 262, 220, 845, 262, 220, 914, 262, 220, 1927], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 1 4 9 16 25 36", "id": 932}, {"char_len": 118, "rule": "2^x+53", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4370, 11, 2131, 11, 3226, 11, 5547, 11, 3076, 11, 5313, 11, 8546, 11, 10562, 11, 15500, 11, 20943], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n54,55,57,61,69,85,117,181,309,565", "id": 933}, {"char_len": 133, "rule": "x+69+38", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 7699, 11, 220, 6640, 11, 220, 7743, 11, 220, 5120, 11, 220, 5037, 11, 220, 7261, 11, 220, 8190, 11, 220, 8011, 11, 220, 7322, 11, 220, 8027], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n107, 108, 109, 110, 111, 112, 113, 114, 115, 116", "id": 934}, {"char_len": 106, "rule": "50*x+12", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 717, 198, 5538, 198, 7261, 198, 10674, 198, 11227, 198, 14274], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n12\n62\n112\n162\n212\n262", "id": 935}, {"char_len": 112, "rule": "x^2+99", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 1484, 220, 220, 1041, 220, 220, 6889, 220, 220, 6640, 220, 220, 7322, 220, 220, 8874], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n99 100 103 108 115 124", "id": 936}, {"char_len": 128, "rule": "2*3^x+40", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2983, 11, 220, 2790, 11, 220, 2970, 11, 220, 6281, 11, 220, 2366, 11, 220, 22593, 11, 220, 10161, 23, 11, 220, 18495, 19, 11, 220, 9263, 5538], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n42, 46, 58, 94, 202, 526, 1498, 4414, 13162", "id": 937}, {"char_len": 112, "rule": "2*2^x", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 17, 3929, 220, 19, 3929, 220, 23, 3929, 220, 845, 3929, 220, 843], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n2 --> 4 --> 8 --> 16 --> 32", "id": 938}, {"char_len": 119, "rule": "4*2^x+42", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2790, 262, 220, 1135, 262, 220, 2970, 262, 220, 5728, 262, 220, 7461, 262, 220, 8258], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n46 50 58 74 106 170", "id": 939}, {"char_len": 124, "rule": "3*4^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 18, 198, 717, 198, 2166, 198, 5926, 198, 17521, 198, 14777, 17, 198, 8259, 2421, 198, 21824, 4103, 198, 5162, 19944], "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\n12\n48\n192\n768\n3072\n12288\n49152\n196608", "id": 940}, {"char_len": 115, "rule": "4^(x+2)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 845, 11, 220, 1227, 11, 220, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n16, 64, 256, 1024, 4096, 16384", "id": 941}, {"char_len": 100, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 220, 220, 18, 220, 220, 24, 220, 220, 1544, 220, 220, 5932], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 3 9 27 81", "id": 942}, {"char_len": 100, "rule": "x^3+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 15, 220, 220, 16, 220, 220, 23, 220, 220, 1544, 220, 220, 1227], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n0 1 8 27 64", "id": 943}, {"char_len": 114, "rule": "4^(x+4)+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4146, 11, 220, 4278, 19, 11, 220, 12378, 21, 11, 220, 9892, 5833, 11, 220, 15573, 1927], "tokenizer": "cl100k_base", "tokens_len": 33, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n256, 1024, 4096, 16384, 65536", "id": 944}, {"char_len": 96, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 201, 18, 201, 24, 201, 1544, 201, 5932], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1\r3\r9\r27\r81", "id": 945}, {"char_len": 105, "rule": "19*x+53", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 4331, 220, 5332, 220, 5925, 220, 5120, 220, 9748, 220, 10410], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n53 72 91 110 129 148", "id": 946}, {"char_len": 105, "rule": "4^(x+2)+79", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2721, 91, 10290, 91, 16596, 91, 5120, 18, 91, 19561, 20], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n95|143|335|1103|4175", "id": 947}, {"char_len": 135, "rule": "4^x+45", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 2790, 3929, 220, 2491, 3929, 220, 5547, 3929, 220, 7743, 3929, 220, 12405, 3929, 220, 7461, 24, 3929, 220, 17448, 16], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n46 --> 49 --> 61 --> 109 --> 301 --> 1069 --> 4141", "id": 948}, {"char_len": 116, "rule": "3^x+0", "tokens": [791, 2768, 8668, 374, 802, 411, 4150, 2740, 8066, 555, 6500, 4184, 311, 264, 6037, 382, 16, 765, 220, 18, 765, 220, 24, 765, 220, 1544, 765, 220, 5932, 765, 220, 14052, 765, 220, 22194], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "arithmetic_sequence", "txt": "The following sequence is arithmetically generated by computer according to a rule.\n\n1 | 3 | 9 | 27 | 81 | 243 | 729", "id": 949}, {"char_len": 106, "tokens": [10961, 489, 220, 1987, 1432, 220, 4119, 15, 198, 220, 220, 10961, 198, 220, 220, 24462, 198, 10, 55023, 220, 931, 19, 1432, 220, 4119, 15, 198, 220, 220, 10961, 198, 220, 220, 24462, 198, 10, 55023, 220, 13858, 19, 1432, 220, 4119, 15, 198, 220, 220, 10961, 198, 220, 220, 24462, 198, 10, 55023, 220, 25307, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "456 + 38\n\n\n 0010\n 456\n 038\n+ ---\n 0004\n\n\n 0010\n 456\n 038\n+ ---\n 0094\n\n\n 0010\n 456\n 038\n+ ---\n 0494\n\n", "id": 950}, {"char_len": 63, "tokens": [605, 489, 220, 2075, 1432, 220, 931, 198, 220, 220, 605, 198, 220, 220, 2075, 198, 10, 40614, 220, 8504, 1432, 220, 931, 198, 220, 220, 605, 198, 220, 220, 2075, 198, 10, 40614, 220, 24646, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 75\n\n\n 000\n 10\n 75\n+ --\n 005\n\n\n 000\n 10\n 75\n+ --\n 085\n\n", "id": 951}, {"char_len": 159, "tokens": [8878, 18, 489, 220, 5932, 1432, 220, 931, 410, 198, 220, 220, 8878, 18, 198, 220, 220, 11436, 16, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 4119, 410, 198, 220, 220, 8878, 18, 198, 220, 220, 11436, 16, 198, 10, 11556, 198, 220, 931, 1958, 1432, 220, 4119, 410, 198, 220, 220, 8878, 18, 198, 220, 220, 11436, 16, 198, 10, 11556, 198, 220, 8759, 1958, 1432, 220, 4119, 410, 198, 220, 220, 8878, 18, 198, 220, 220, 11436, 16, 198, 10, 11556, 198, 220, 15901, 1958, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1353 + 81\n\n\n 00000\n 1353\n 0081\n+ ----\n 00004\n\n\n 00100\n 1353\n 0081\n+ ----\n 00034\n\n\n 00100\n 1353\n 0081\n+ ----\n 00434\n\n\n 00100\n 1353\n 0081\n+ ----\n 01434\n\n", "id": 952}, {"char_len": 63, "tokens": [2287, 489, 220, 845, 1432, 220, 7755, 198, 220, 220, 2287, 198, 220, 220, 845, 198, 10, 40614, 220, 6726, 1432, 220, 7755, 198, 220, 220, 2287, 198, 220, 220, 845, 198, 10, 40614, 220, 24996, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "66 + 16\n\n\n 010\n 66\n 16\n+ --\n 002\n\n\n 010\n 66\n 16\n+ --\n 082\n\n", "id": 953}, {"char_len": 222, "tokens": [6330, 5495, 489, 220, 5313, 1432, 220, 931, 931, 198, 220, 220, 6330, 5495, 198, 220, 220, 931, 5313, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 6330, 5495, 198, 220, 220, 931, 5313, 198, 10, 81049, 220, 931, 23904, 1432, 220, 931, 1041, 198, 220, 220, 6330, 5495, 198, 220, 220, 931, 5313, 198, 10, 81049, 220, 931, 10410, 1432, 220, 931, 1041, 198, 220, 220, 6330, 5495, 198, 220, 220, 931, 5313, 198, 10, 81049, 220, 11030, 10410, 1432, 220, 931, 1041, 198, 220, 220, 6330, 5495, 198, 220, 220, 931, 5313, 198, 10, 81049, 220, 15794, 10410, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "16063 + 85\n\n\n 000000\n 16063\n 00085\n+ -----\n 000008\n\n\n 000100\n 16063\n 00085\n+ -----\n 000048\n\n\n 000100\n 16063\n 00085\n+ -----\n 000148\n\n\n 000100\n 16063\n 00085\n+ -----\n 006148\n\n\n 000100\n 16063\n 00085\n+ -----\n 016148\n\n", "id": 954}, {"char_len": 159, "tokens": [18322, 23, 489, 220, 1691, 1432, 220, 931, 410, 198, 220, 220, 18322, 23, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 931, 410, 198, 220, 220, 18322, 23, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 931, 4578, 1432, 220, 931, 410, 198, 220, 220, 18322, 23, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 11194, 4578, 1432, 220, 931, 410, 198, 220, 220, 18322, 23, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 23587, 4578, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3768 + 21\n\n\n 00000\n 3768\n 0021\n+ ----\n 00009\n\n\n 00000\n 3768\n 0021\n+ ----\n 00089\n\n\n 00000\n 3768\n 0021\n+ ----\n 00789\n\n\n 00000\n 3768\n 0021\n+ ----\n 03789\n\n", "id": 955}, {"char_len": 63, "tokens": [777, 489, 220, 2096, 1432, 220, 7755, 198, 220, 220, 777, 198, 220, 220, 2096, 198, 10, 40614, 220, 6268, 1432, 220, 7755, 198, 220, 220, 777, 198, 220, 220, 2096, 198, 10, 40614, 220, 24254, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "19 + 44\n\n\n 010\n 19\n 44\n+ --\n 003\n\n\n 010\n 19\n 44\n+ --\n 063\n\n", "id": 956}, {"char_len": 106, "tokens": [6550, 489, 220, 508, 1432, 220, 931, 15, 198, 220, 220, 6550, 198, 220, 220, 11139, 198, 10, 55023, 220, 931, 20, 1432, 220, 931, 15, 198, 220, 220, 6550, 198, 220, 220, 11139, 198, 10, 55023, 220, 6726, 20, 1432, 220, 931, 15, 198, 220, 220, 6550, 198, 220, 220, 11139, 198, 10, 55023, 220, 11531, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "105 + 20\n\n\n 0000\n 105\n 020\n+ ---\n 0005\n\n\n 0000\n 105\n 020\n+ ---\n 0025\n\n\n 0000\n 105\n 020\n+ ---\n 0125\n\n", "id": 957}, {"char_len": 106, "tokens": [23459, 489, 220, 717, 1432, 220, 4119, 15, 198, 220, 220, 23459, 198, 220, 220, 11531, 198, 10, 55023, 220, 931, 16, 1432, 220, 10731, 15, 198, 220, 220, 23459, 198, 220, 220, 11531, 198, 10, 55023, 220, 4119, 16, 1432, 220, 10731, 15, 198, 220, 220, 23459, 198, 220, 220, 11531, 198, 10, 55023, 220, 24508, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "699 + 12\n\n\n 0010\n 699\n 012\n+ ---\n 0001\n\n\n 0110\n 699\n 012\n+ ---\n 0011\n\n\n 0110\n 699\n 012\n+ ---\n 0711\n\n", "id": 958}, {"char_len": 106, "tokens": [21144, 489, 220, 806, 1432, 220, 931, 15, 198, 220, 220, 21144, 198, 220, 220, 10731, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 21144, 198, 220, 220, 10731, 198, 10, 55023, 220, 11436, 23, 1432, 220, 931, 15, 198, 220, 220, 21144, 198, 220, 220, 10731, 198, 10, 55023, 220, 23904, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "477 + 11\n\n\n 0000\n 477\n 011\n+ ---\n 0008\n\n\n 0000\n 477\n 011\n+ ---\n 0088\n\n\n 0000\n 477\n 011\n+ ---\n 0488\n\n", "id": 959}, {"char_len": 159, "tokens": [2813, 489, 220, 17711, 20, 1432, 220, 931, 605, 198, 220, 220, 11194, 22, 198, 220, 220, 17711, 20, 198, 10, 11556, 198, 220, 931, 2437, 1432, 220, 931, 605, 198, 220, 220, 11194, 22, 198, 220, 220, 17711, 20, 198, 10, 11556, 198, 220, 931, 6086, 1432, 220, 931, 605, 198, 220, 220, 11194, 22, 198, 220, 220, 17711, 20, 198, 10, 11556, 198, 220, 11194, 6086, 1432, 220, 931, 605, 198, 220, 220, 11194, 22, 198, 220, 220, 17711, 20, 198, 10, 11556, 198, 220, 24970, 6086, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "77 + 4705\n\n\n 00010\n 0077\n 4705\n+ ----\n 00002\n\n\n 00010\n 0077\n 4705\n+ ----\n 00082\n\n\n 00010\n 0077\n 4705\n+ ----\n 00782\n\n\n 00010\n 0077\n 4705\n+ ----\n 04782\n\n", "id": 960}, {"char_len": 106, "tokens": [605, 489, 220, 20963, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 20963, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 20963, 198, 10, 55023, 220, 8759, 24, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 20963, 198, 10, 55023, 220, 20078, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 439\n\n\n 0000\n 010\n 439\n+ ---\n 0009\n\n\n 0000\n 010\n 439\n+ ---\n 0049\n\n\n 0000\n 010\n 439\n+ ---\n 0449\n\n", "id": 961}, {"char_len": 106, "tokens": [2983, 489, 220, 18163, 1432, 220, 931, 15, 198, 220, 220, 22349, 198, 220, 220, 18163, 198, 10, 55023, 220, 931, 24, 1432, 220, 7755, 15, 198, 220, 220, 22349, 198, 220, 220, 18163, 198, 10, 55023, 220, 6268, 24, 1432, 220, 7755, 15, 198, 220, 220, 22349, 198, 220, 220, 18163, 198, 10, 55023, 220, 13103, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "42 + 297\n\n\n 0000\n 042\n 297\n+ ---\n 0009\n\n\n 0100\n 042\n 297\n+ ---\n 0039\n\n\n 0100\n 042\n 297\n+ ---\n 0339\n\n", "id": 962}, {"char_len": 687, "tokens": [10239, 19222, 24920, 17, 489, 220, 1987, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 931, 931, 410, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 931, 931, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 931, 6268, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 931, 25077, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 931, 16085, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 11030, 16085, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 11030, 16085, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 931, 11056, 16085, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 8759, 11056, 16085, 605, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 10239, 19222, 24920, 17, 198, 220, 220, 931, 931, 6268, 23, 198, 10, 31423, 220, 15901, 11056, 16085, 605, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1420628272 + 38\n\n\n 00000000010\n 1420628272\n 0000000038\n+ ----------\n 00000000000\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000000010\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000000310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000008310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000028310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000628310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00000628310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00020628310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 00420628310\n\n\n 00000000110\n 1420628272\n 0000000038\n+ ----------\n 01420628310\n\n", "id": 963}, {"char_len": 160, "tokens": [6889, 19, 489, 220, 10288, 1432, 220, 931, 605, 198, 220, 220, 6889, 19, 198, 220, 220, 15901, 22, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 931, 605, 198, 220, 220, 6889, 19, 198, 220, 220, 15901, 22, 198, 10, 11556, 198, 220, 931, 5932, 1432, 220, 931, 605, 198, 220, 220, 6889, 19, 198, 220, 220, 15901, 22, 198, 10, 11556, 198, 220, 4119, 5932, 1432, 220, 931, 605, 198, 220, 220, 6889, 19, 198, 220, 220, 15901, 22, 198, 10, 11556, 198, 220, 10731, 5932, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1034 + 147\n\n\n 00010\n 1034\n 0147\n+ ----\n 00001\n\n\n 00010\n 1034\n 0147\n+ ----\n 00081\n\n\n 00010\n 1034\n 0147\n+ ----\n 00181\n\n\n 00010\n 1034\n 0147\n+ ----\n 01181\n\n", "id": 964}, {"char_len": 63, "tokens": [5728, 489, 220, 806, 1432, 220, 931, 198, 220, 220, 5728, 198, 220, 220, 806, 198, 10, 40614, 220, 8504, 1432, 220, 931, 198, 220, 220, 5728, 198, 220, 220, 806, 198, 10, 40614, 220, 24646, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "74 + 11\n\n\n 000\n 74\n 11\n+ --\n 005\n\n\n 000\n 74\n 11\n+ --\n 085\n\n", "id": 965}, {"char_len": 474, "tokens": [24061, 2983, 489, 220, 6393, 14868, 1691, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 931, 6268, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 931, 24254, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 931, 26087, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 13858, 26087, 1432, 220, 931, 1041, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 23273, 26087, 1432, 220, 931, 1041, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 931, 21618, 26087, 1432, 220, 931, 1041, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 13858, 21618, 26087, 1432, 220, 931, 1041, 931, 198, 220, 220, 931, 24061, 2983, 198, 220, 220, 6393, 14868, 1691, 198, 10, 90238, 220, 18089, 21618, 26087, 271], "tokenizer": "cl100k_base", "tokens_len": 200, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "85942 + 19444021\n\n\n 000000000\n 00085942\n 19444021\n+ --------\n 000000003\n\n\n 000000000\n 00085942\n 19444021\n+ --------\n 000000063\n\n\n 000000000\n 00085942\n 19444021\n+ --------\n 000000963\n\n\n 000000000\n 00085942\n 19444021\n+ --------\n 000009963\n\n\n 000100000\n 00085942\n 19444021\n+ --------\n 000029963\n\n\n 000100000\n 00085942\n 19444021\n+ --------\n 000529963\n\n\n 000100000\n 00085942\n 19444021\n+ --------\n 009529963\n\n\n 000100000\n 00085942\n 19444021\n+ --------\n 019529963\n\n", "id": 966}, {"char_len": 295, "tokens": [508, 489, 220, 10861, 22614, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 931, 931, 18, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 931, 8759, 18, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 931, 26195, 18, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 931, 17168, 18, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 11194, 17168, 18, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11139, 198, 220, 220, 10861, 22614, 198, 10, 11556, 7233, 220, 17248, 17168, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "20 + 172923\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0000003\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0000043\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0000943\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0002943\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0072943\n\n\n 0000000\n 000020\n 172923\n+ ------\n 0172943\n\n", "id": 967}, {"char_len": 106, "tokens": [975, 489, 220, 20899, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 20899, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 20899, 198, 10, 55023, 220, 4119, 22, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 20899, 198, 10, 55023, 220, 22534, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 803\n\n\n 0000\n 014\n 803\n+ ---\n 0007\n\n\n 0000\n 014\n 803\n+ ---\n 0017\n\n\n 0000\n 014\n 803\n+ ---\n 0817\n\n", "id": 968}, {"char_len": 63, "tokens": [868, 489, 220, 1591, 1432, 220, 7755, 198, 220, 220, 868, 198, 220, 220, 1591, 198, 10, 40614, 220, 6268, 1432, 220, 7755, 198, 220, 220, 868, 198, 220, 220, 1591, 198, 10, 40614, 220, 17776, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "15 + 28\n\n\n 010\n 15\n 28\n+ --\n 003\n\n\n 010\n 15\n 28\n+ --\n 043\n\n", "id": 969}, {"char_len": 160, "tokens": [23525, 21, 489, 220, 23171, 1432, 220, 931, 605, 198, 220, 220, 23525, 21, 198, 220, 220, 24850, 22, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 4119, 605, 198, 220, 220, 23525, 21, 198, 220, 220, 24850, 22, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 10731, 605, 198, 220, 220, 23525, 21, 198, 220, 220, 24850, 22, 198, 10, 11556, 198, 220, 6726, 2839, 1432, 220, 10731, 605, 198, 220, 220, 23525, 21, 198, 220, 220, 24850, 22, 198, 10, 11556, 198, 220, 23439, 2839, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "6416 + 787\n\n\n 00010\n 6416\n 0787\n+ ----\n 00003\n\n\n 00110\n 6416\n 0787\n+ ----\n 00003\n\n\n 01110\n 6416\n 0787\n+ ----\n 00203\n\n\n 01110\n 6416\n 0787\n+ ----\n 07203\n\n", "id": 970}, {"char_len": 106, "tokens": [9756, 489, 220, 3391, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 17776, 198, 10, 55023, 220, 931, 20, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 17776, 198, 10, 55023, 220, 13858, 20, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 17776, 198, 10, 55023, 220, 18089, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "152 + 43\n\n\n 0000\n 152\n 043\n+ ---\n 0005\n\n\n 0000\n 152\n 043\n+ ---\n 0095\n\n\n 0000\n 152\n 043\n+ ---\n 0195\n\n", "id": 971}, {"char_len": 471, "tokens": [1806, 489, 220, 26979, 17470, 3080, 1432, 220, 931, 931, 7755, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 931, 8759, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 931, 8759, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 931, 21949, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 6726, 21949, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 21040, 21949, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 931, 23879, 21949, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 8759, 23879, 21949, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1806, 198, 220, 220, 26979, 17470, 3080, 198, 10, 90238, 220, 26195, 23879, 21949, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "37 + 94832667\n\n\n 000000010\n 00000037\n 94832667\n+ --------\n 000000004\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 000000004\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 000000704\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 000002704\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 000032704\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 000832704\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 004832704\n\n\n 000000110\n 00000037\n 94832667\n+ --------\n 094832704\n\n", "id": 972}, {"char_len": 224, "tokens": [26979, 4218, 489, 220, 17408, 24, 1432, 220, 931, 7755, 198, 220, 220, 26979, 4218, 198, 220, 220, 23273, 3076, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 5120, 198, 220, 220, 26979, 4218, 198, 220, 220, 23273, 3076, 198, 10, 81049, 220, 931, 22913, 1432, 220, 4119, 5120, 198, 220, 220, 26979, 4218, 198, 220, 220, 23273, 3076, 198, 10, 81049, 220, 931, 22869, 1432, 220, 4119, 5120, 198, 220, 220, 26979, 4218, 198, 220, 220, 23273, 3076, 198, 10, 81049, 220, 11194, 22869, 1432, 220, 4119, 5120, 198, 220, 220, 26979, 4218, 198, 220, 220, 23273, 3076, 198, 10, 81049, 220, 28384, 22869, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "94886 + 2969\n\n\n 000010\n 94886\n 02969\n+ -----\n 000005\n\n\n 000110\n 94886\n 02969\n+ -----\n 000055\n\n\n 001110\n 94886\n 02969\n+ -----\n 000855\n\n\n 001110\n 94886\n 02969\n+ -----\n 007855\n\n\n 001110\n 94886\n 02969\n+ -----\n 097855\n\n", "id": 973}, {"char_len": 159, "tokens": [1313, 489, 220, 7743, 15, 1432, 220, 931, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 7743, 15, 198, 10, 11556, 198, 220, 931, 2437, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 7743, 15, 198, 10, 11556, 198, 220, 931, 717, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 7743, 15, 198, 10, 11556, 198, 220, 4119, 717, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 7743, 15, 198, 10, 11556, 198, 220, 10731, 717, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "22 + 1090\n\n\n 00000\n 0022\n 1090\n+ ----\n 00002\n\n\n 00100\n 0022\n 1090\n+ ----\n 00012\n\n\n 00100\n 0022\n 1090\n+ ----\n 00112\n\n\n 00100\n 0022\n 1090\n+ ----\n 01112\n\n", "id": 974}, {"char_len": 159, "tokens": [12994, 18, 489, 220, 975, 1432, 220, 931, 410, 198, 220, 220, 12994, 18, 198, 220, 220, 4119, 19, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 931, 410, 198, 220, 220, 12994, 18, 198, 220, 220, 4119, 19, 198, 10, 11556, 198, 220, 931, 2618, 1432, 220, 931, 410, 198, 220, 220, 12994, 18, 198, 220, 220, 4119, 19, 198, 10, 11556, 198, 220, 6268, 2618, 1432, 220, 931, 410, 198, 220, 220, 12994, 18, 198, 220, 220, 4119, 19, 198, 10, 11556, 198, 220, 20063, 2618, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2333 + 14\n\n\n 00000\n 2333\n 0014\n+ ----\n 00007\n\n\n 00000\n 2333\n 0014\n+ ----\n 00047\n\n\n 00000\n 2333\n 0014\n+ ----\n 00347\n\n\n 00000\n 2333\n 0014\n+ ----\n 02347\n\n", "id": 975}, {"char_len": 160, "tokens": [21982, 489, 220, 12422, 15, 1432, 220, 931, 410, 198, 220, 220, 24508, 23, 198, 220, 220, 12422, 15, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 24508, 23, 198, 220, 220, 12422, 15, 198, 10, 11556, 198, 220, 931, 2614, 1432, 220, 7755, 410, 198, 220, 220, 24508, 23, 198, 220, 220, 12422, 15, 198, 10, 11556, 198, 220, 931, 2614, 1432, 220, 7755, 410, 198, 220, 220, 24508, 23, 198, 220, 220, 12422, 15, 198, 10, 11556, 198, 220, 14649, 2614, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "718 + 2350\n\n\n 00000\n 0718\n 2350\n+ ----\n 00008\n\n\n 00000\n 0718\n 2350\n+ ----\n 00068\n\n\n 01000\n 0718\n 2350\n+ ----\n 00068\n\n\n 01000\n 0718\n 2350\n+ ----\n 03068\n\n", "id": 976}, {"char_len": 63, "tokens": [717, 489, 220, 5538, 1432, 220, 931, 198, 220, 220, 717, 198, 220, 220, 5538, 198, 10, 40614, 220, 8759, 1432, 220, 931, 198, 220, 220, 717, 198, 220, 220, 5538, 198, 10, 40614, 220, 26739, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12 + 62\n\n\n 000\n 12\n 62\n+ --\n 004\n\n\n 000\n 12\n 62\n+ --\n 074\n\n", "id": 977}, {"char_len": 63, "tokens": [2287, 489, 220, 2397, 1432, 220, 7755, 198, 220, 220, 2287, 198, 220, 220, 2397, 198, 10, 40614, 220, 4119, 1432, 220, 5120, 198, 220, 220, 2287, 198, 220, 220, 2397, 198, 10, 40614, 220, 18887, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "66 + 65\n\n\n 010\n 66\n 65\n+ --\n 001\n\n\n 110\n 66\n 65\n+ --\n 031\n\n", "id": 978}, {"char_len": 63, "tokens": [777, 489, 220, 2148, 1432, 220, 7755, 198, 220, 220, 777, 198, 220, 220, 2148, 198, 10, 40614, 220, 931, 1432, 220, 7755, 198, 220, 220, 777, 198, 220, 220, 2148, 198, 10, 40614, 220, 16193, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "19 + 31\n\n\n 010\n 19\n 31\n+ --\n 000\n\n\n 010\n 19\n 31\n+ --\n 050\n\n", "id": 979}, {"char_len": 159, "tokens": [7261, 19, 489, 220, 717, 1432, 220, 931, 410, 198, 220, 220, 7261, 19, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 931, 410, 198, 220, 220, 7261, 19, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 931, 1927, 1432, 220, 931, 410, 198, 220, 220, 7261, 19, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 4119, 1927, 1432, 220, 931, 410, 198, 220, 220, 7261, 19, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 10731, 1927, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1124 + 12\n\n\n 00000\n 1124\n 0012\n+ ----\n 00006\n\n\n 00000\n 1124\n 0012\n+ ----\n 00036\n\n\n 00000\n 1124\n 0012\n+ ----\n 00136\n\n\n 00000\n 1124\n 0012\n+ ----\n 01136\n\n", "id": 980}, {"char_len": 222, "tokens": [10005, 2304, 489, 220, 845, 1432, 220, 931, 7755, 198, 220, 220, 10005, 2304, 198, 220, 220, 931, 845, 198, 10, 81049, 220, 931, 4119, 1432, 220, 931, 7755, 198, 220, 220, 10005, 2304, 198, 220, 220, 931, 845, 198, 10, 81049, 220, 931, 11592, 1432, 220, 931, 7755, 198, 220, 220, 10005, 2304, 198, 220, 220, 931, 845, 198, 10, 81049, 220, 931, 20767, 1432, 220, 931, 7755, 198, 220, 220, 10005, 2304, 198, 220, 220, 931, 845, 198, 10, 81049, 220, 11194, 20767, 1432, 220, 931, 7755, 198, 220, 220, 10005, 2304, 198, 220, 220, 931, 845, 198, 10, 81049, 220, 17248, 20767, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "17505 + 16\n\n\n 000010\n 17505\n 00016\n+ -----\n 000001\n\n\n 000010\n 17505\n 00016\n+ -----\n 000021\n\n\n 000010\n 17505\n 00016\n+ -----\n 000521\n\n\n 000010\n 17505\n 00016\n+ -----\n 007521\n\n\n 000010\n 17505\n 00016\n+ -----\n 017521\n\n", "id": 981}, {"char_len": 159, "tokens": [1114, 489, 220, 15602, 23, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 15602, 23, 198, 10, 11556, 198, 220, 931, 2304, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 15602, 23, 198, 10, 11556, 198, 220, 931, 1758, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 15602, 23, 198, 10, 11556, 198, 220, 11030, 1758, 1432, 220, 931, 605, 198, 220, 220, 4119, 22, 198, 220, 220, 15602, 23, 198, 10, 11556, 198, 220, 21641, 1758, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "17 + 2618\n\n\n 00010\n 0017\n 2618\n+ ----\n 00005\n\n\n 00010\n 0017\n 2618\n+ ----\n 00035\n\n\n 00010\n 0017\n 2618\n+ ----\n 00635\n\n\n 00010\n 0017\n 2618\n+ ----\n 02635\n\n", "id": 982}, {"char_len": 687, "tokens": [1544, 489, 220, 23409, 22663, 23505, 17, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 931, 931, 2545, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 931, 931, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 931, 931, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 931, 18807, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 931, 15515, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 8504, 15515, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 22913, 15515, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 931, 9992, 15515, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 8504, 9992, 15515, 1484, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 931, 931, 6726, 22, 198, 220, 220, 23409, 22663, 23505, 17, 198, 10, 31423, 220, 26478, 9992, 15515, 1484, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "27 + 6515539072\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000000009\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000000099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000000099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000009099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000039099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00000539099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00005539099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00015539099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 00515539099\n\n\n 00000000000\n 0000000027\n 6515539072\n+ ----------\n 06515539099\n\n", "id": 983}, {"char_len": 223, "tokens": [11515, 489, 220, 14261, 3076, 1432, 220, 931, 7755, 198, 220, 220, 4119, 3080, 198, 220, 220, 14261, 3076, 198, 10, 81049, 220, 931, 11030, 1432, 220, 931, 5120, 198, 220, 220, 4119, 3080, 198, 220, 220, 14261, 3076, 198, 10, 81049, 220, 931, 23110, 1432, 220, 4119, 5120, 198, 220, 220, 4119, 3080, 198, 220, 220, 14261, 3076, 198, 10, 81049, 220, 931, 23110, 1432, 220, 4119, 5120, 198, 220, 220, 4119, 3080, 198, 220, 220, 14261, 3076, 198, 10, 81049, 220, 6268, 23110, 1432, 220, 4119, 5120, 198, 220, 220, 4119, 3080, 198, 220, 220, 14261, 3076, 198, 10, 81049, 220, 20063, 23110, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "167 + 22869\n\n\n 000010\n 00167\n 22869\n+ -----\n 000006\n\n\n 000110\n 00167\n 22869\n+ -----\n 000036\n\n\n 001110\n 00167\n 22869\n+ -----\n 000036\n\n\n 001110\n 00167\n 22869\n+ -----\n 003036\n\n\n 001110\n 00167\n 22869\n+ -----\n 023036\n\n", "id": 984}, {"char_len": 222, "tokens": [15134, 1721, 489, 220, 1758, 1432, 220, 931, 931, 198, 220, 220, 15134, 1721, 198, 220, 220, 931, 1758, 198, 10, 81049, 220, 931, 11030, 1432, 220, 931, 931, 198, 220, 220, 15134, 1721, 198, 220, 220, 931, 1758, 198, 10, 81049, 220, 931, 23110, 1432, 220, 931, 931, 198, 220, 220, 15134, 1721, 198, 220, 220, 931, 1758, 198, 10, 81049, 220, 931, 9795, 1432, 220, 931, 931, 198, 220, 220, 15134, 1721, 198, 220, 220, 931, 1758, 198, 10, 81049, 220, 4119, 9795, 1432, 220, 931, 931, 198, 220, 220, 15134, 1721, 198, 220, 220, 931, 1758, 198, 10, 81049, 220, 18887, 9795, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "31101 + 35\n\n\n 000000\n 31101\n 00035\n+ -----\n 000006\n\n\n 000000\n 31101\n 00035\n+ -----\n 000036\n\n\n 000000\n 31101\n 00035\n+ -----\n 000136\n\n\n 000000\n 31101\n 00035\n+ -----\n 001136\n\n\n 000000\n 31101\n 00035\n+ -----\n 031136\n\n", "id": 985}, {"char_len": 63, "tokens": [717, 489, 220, 1114, 1432, 220, 931, 198, 220, 220, 717, 198, 220, 220, 1114, 198, 10, 40614, 220, 13858, 1432, 220, 931, 198, 220, 220, 717, 198, 220, 220, 1114, 198, 10, 40614, 220, 23273, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12 + 17\n\n\n 000\n 12\n 17\n+ --\n 009\n\n\n 000\n 12\n 17\n+ --\n 029\n\n", "id": 986}, {"char_len": 224, "tokens": [16367, 1135, 489, 220, 12425, 24, 1432, 220, 931, 931, 198, 220, 220, 16367, 1135, 198, 220, 220, 18642, 777, 198, 10, 81049, 220, 931, 13858, 1432, 220, 931, 931, 198, 220, 220, 16367, 1135, 198, 220, 220, 18642, 777, 198, 10, 81049, 220, 931, 27325, 1432, 220, 931, 931, 198, 220, 220, 16367, 1135, 198, 220, 220, 18642, 777, 198, 10, 81049, 220, 931, 24792, 1432, 220, 931, 931, 198, 220, 220, 16367, 1135, 198, 220, 220, 18642, 777, 198, 10, 81049, 220, 13858, 24792, 1432, 220, 931, 931, 198, 220, 220, 16367, 1135, 198, 220, 220, 18642, 777, 198, 10, 81049, 220, 23273, 24792, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "27750 + 2219\n\n\n 000000\n 27750\n 02219\n+ -----\n 000009\n\n\n 000000\n 27750\n 02219\n+ -----\n 000069\n\n\n 000000\n 27750\n 02219\n+ -----\n 000969\n\n\n 000000\n 27750\n 02219\n+ -----\n 009969\n\n\n 000000\n 27750\n 02219\n+ -----\n 029969\n\n", "id": 987}, {"char_len": 378, "tokens": [20419, 22904, 15, 489, 220, 3391, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 931, 931, 5958, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 931, 6268, 5958, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 931, 25077, 5958, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 931, 26008, 5958, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 11030, 26008, 5958, 1432, 220, 931, 931, 410, 198, 220, 220, 20419, 22904, 15, 198, 220, 220, 931, 8759, 18, 198, 10, 39707, 220, 24222, 26008, 5958, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "4678330 + 43\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00000003\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00000073\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00000373\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00008373\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00078373\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 00678373\n\n\n 00000000\n 4678330\n 0000043\n+ -------\n 04678373\n\n", "id": 988}, {"char_len": 222, "tokens": [6549, 4103, 489, 220, 972, 1432, 220, 931, 7755, 198, 220, 220, 6549, 4103, 198, 220, 220, 931, 972, 198, 10, 81049, 220, 931, 931, 1432, 220, 931, 7755, 198, 220, 220, 6549, 4103, 198, 220, 220, 931, 972, 198, 10, 81049, 220, 931, 17819, 1432, 220, 931, 7755, 198, 220, 220, 6549, 4103, 198, 220, 220, 931, 972, 198, 10, 81049, 220, 931, 18712, 1432, 220, 931, 7755, 198, 220, 220, 6549, 4103, 198, 220, 220, 931, 972, 198, 10, 81049, 220, 6726, 18712, 1432, 220, 931, 7755, 198, 220, 220, 6549, 4103, 198, 220, 220, 931, 972, 198, 10, 81049, 220, 11531, 18712, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12552 + 18\n\n\n 000010\n 12552\n 00018\n+ -----\n 000000\n\n\n 000010\n 12552\n 00018\n+ -----\n 000070\n\n\n 000010\n 12552\n 00018\n+ -----\n 000570\n\n\n 000010\n 12552\n 00018\n+ -----\n 002570\n\n\n 000010\n 12552\n 00018\n+ -----\n 012570\n\n", "id": 989}, {"char_len": 380, "tokens": [18113, 8190, 22, 489, 220, 5037, 22, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 931, 931, 2371, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 931, 931, 4370, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 931, 6726, 4370, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 931, 18642, 4370, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 931, 8259, 4370, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 8504, 8259, 4370, 1432, 220, 931, 931, 605, 198, 220, 220, 18113, 8190, 22, 198, 220, 220, 931, 5037, 22, 198, 10, 39707, 220, 22407, 8259, 4370, 271], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3511137 + 1117\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00000004\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00000054\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00000254\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00002254\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00012254\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 00512254\n\n\n 00000010\n 3511137\n 0001117\n+ -------\n 03512254\n\n", "id": 990}, {"char_len": 471, "tokens": [605, 489, 220, 10718, 23532, 1691, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 931, 4119, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 931, 18887, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 931, 20823, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 8504, 20823, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 22679, 20823, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 931, 10005, 20823, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 11030, 10005, 20823, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 931, 605, 198, 220, 220, 10718, 23532, 1691, 198, 10, 90238, 220, 15794, 10005, 20823, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 16175521\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000000001\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000000031\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000000531\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000005531\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000075531\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 000175531\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 006175531\n\n\n 000000000\n 00000010\n 16175521\n+ --------\n 016175531\n\n", "id": 991}, {"char_len": 815, "tokens": [6640, 24515, 8874, 2096, 489, 220, 12815, 25210, 24, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 931, 6268, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 931, 25077, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 931, 24742, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 6726, 24742, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 24130, 24742, 1432, 220, 931, 4119, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 931, 12326, 24742, 1432, 220, 931, 10731, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 6726, 12326, 24742, 1432, 220, 931, 10731, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 19222, 12326, 24742, 1432, 220, 931, 10731, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 24071, 12326, 24742, 1432, 220, 931, 10731, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 931, 24071, 12326, 24742, 1432, 220, 931, 10731, 931, 7755, 198, 220, 220, 6640, 24515, 8874, 2096, 198, 220, 220, 931, 21641, 16408, 2137, 198, 10, 220, 26999, 220, 7755, 24071, 12326, 24742, 271], "tokenizer": "cl100k_base", "tokens_len": 329, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10859612444 + 2640539\n\n\n 000000000010\n 10859612444\n 00002640539\n+ -----------\n 000000000003\n\n\n 000000000010\n 10859612444\n 00002640539\n+ -----------\n 000000000083\n\n\n 000000000010\n 10859612444\n 00002640539\n+ -----------\n 000000000983\n\n\n 000000000010\n 10859612444\n 00002640539\n+ -----------\n 000000002983\n\n\n 000000000010\n 10859612444\n 00002640539\n+ -----------\n 000000052983\n\n\n 000001000010\n 10859612444\n 00002640539\n+ -----------\n 000000252983\n\n\n 000011000010\n 10859612444\n 00002640539\n+ -----------\n 000002252983\n\n\n 000011000010\n 10859612444\n 00002640539\n+ -----------\n 000062252983\n\n\n 000011000010\n 10859612444\n 00002640539\n+ -----------\n 000862252983\n\n\n 000011000010\n 10859612444\n 00002640539\n+ -----------\n 000862252983\n\n\n 000011000010\n 10859612444\n 00002640539\n+ -----------\n 010862252983\n\n", "id": 992}, {"char_len": 223, "tokens": [10465, 489, 220, 12378, 1927, 1432, 220, 931, 7755, 198, 220, 220, 4119, 2790, 198, 220, 220, 12378, 1927, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 7755, 198, 220, 220, 4119, 2790, 198, 220, 220, 12378, 1927, 198, 10, 81049, 220, 931, 24996, 1432, 220, 4119, 7755, 198, 220, 220, 4119, 2790, 198, 220, 220, 12378, 1927, 198, 10, 81049, 220, 931, 24996, 1432, 220, 4119, 7755, 198, 220, 220, 4119, 2790, 198, 220, 220, 12378, 1927, 198, 10, 81049, 220, 4119, 24996, 1432, 220, 4119, 7755, 198, 220, 220, 4119, 2790, 198, 220, 220, 12378, 1927, 198, 10, 81049, 220, 20945, 24996, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "146 + 40936\n\n\n 000010\n 00146\n 40936\n+ -----\n 000002\n\n\n 000010\n 00146\n 40936\n+ -----\n 000082\n\n\n 001010\n 00146\n 40936\n+ -----\n 000082\n\n\n 001010\n 00146\n 40936\n+ -----\n 001082\n\n\n 001010\n 00146\n 40936\n+ -----\n 041082\n\n", "id": 993}, {"char_len": 295, "tokens": [717, 489, 220, 22385, 7699, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 931, 931, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 931, 4119, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 931, 10731, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 931, 20973, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 6726, 20973, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 11531, 198, 220, 220, 22385, 7699, 198, 10, 11556, 7233, 220, 19222, 20973, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12 + 626107\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0000009\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0000019\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0000119\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0006119\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0026119\n\n\n 0000000\n 000012\n 626107\n+ ------\n 0626119\n\n", "id": 994}, {"char_len": 106, "tokens": [1313, 489, 220, 22397, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 22397, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 22397, 198, 10, 55023, 220, 6726, 23, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 22397, 198, 10, 55023, 220, 24996, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "22 + 806\n\n\n 0000\n 022\n 806\n+ ---\n 0008\n\n\n 0000\n 022\n 806\n+ ---\n 0028\n\n\n 0000\n 022\n 806\n+ ---\n 0828\n\n", "id": 995}, {"char_len": 106, "tokens": [15189, 489, 220, 3174, 1432, 220, 931, 15, 198, 220, 220, 15189, 198, 220, 220, 20945, 198, 10, 55023, 220, 931, 21, 1432, 220, 931, 15, 198, 220, 220, 15189, 198, 220, 220, 20945, 198, 10, 55023, 220, 8504, 21, 1432, 220, 931, 15, 198, 220, 220, 15189, 198, 220, 220, 20945, 198, 10, 55023, 220, 22407, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "315 + 41\n\n\n 0000\n 315\n 041\n+ ---\n 0006\n\n\n 0000\n 315\n 041\n+ ---\n 0056\n\n\n 0000\n 315\n 041\n+ ---\n 0356\n\n", "id": 996}, {"char_len": 106, "tokens": [4386, 489, 220, 975, 1432, 220, 4119, 15, 198, 220, 220, 4386, 198, 220, 220, 15901, 198, 10, 55023, 220, 931, 17, 1432, 220, 4119, 15, 198, 220, 220, 4386, 198, 220, 220, 15901, 198, 10, 55023, 220, 8759, 17, 1432, 220, 4119, 15, 198, 220, 220, 4386, 198, 220, 220, 15901, 198, 10, 55023, 220, 15901, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "128 + 14\n\n\n 0010\n 128\n 014\n+ ---\n 0002\n\n\n 0010\n 128\n 014\n+ ---\n 0042\n\n\n 0010\n 128\n 014\n+ ---\n 0142\n\n", "id": 997}, {"char_len": 222, "tokens": [9079, 6028, 489, 220, 806, 1432, 220, 931, 931, 198, 220, 220, 9079, 6028, 198, 220, 220, 931, 806, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 931, 198, 220, 220, 9079, 6028, 198, 220, 220, 931, 806, 198, 10, 81049, 220, 931, 24996, 1432, 220, 931, 931, 198, 220, 220, 9079, 6028, 198, 220, 220, 931, 806, 198, 10, 81049, 220, 931, 25873, 1432, 220, 931, 931, 198, 220, 220, 9079, 6028, 198, 220, 220, 931, 806, 198, 10, 81049, 220, 4119, 25873, 1432, 220, 931, 931, 198, 220, 220, 9079, 6028, 198, 220, 220, 931, 806, 198, 10, 81049, 220, 10731, 25873, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "11971 + 11\n\n\n 000000\n 11971\n 00011\n+ -----\n 000002\n\n\n 000000\n 11971\n 00011\n+ -----\n 000082\n\n\n 000000\n 11971\n 00011\n+ -----\n 000982\n\n\n 000000\n 11971\n 00011\n+ -----\n 001982\n\n\n 000000\n 11971\n 00011\n+ -----\n 011982\n\n", "id": 998}, {"char_len": 159, "tokens": [10005, 20, 489, 220, 1644, 1432, 220, 931, 410, 198, 220, 220, 10005, 20, 198, 220, 220, 6268, 18, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 10005, 20, 198, 220, 220, 6268, 18, 198, 10, 11556, 198, 220, 931, 2421, 1432, 220, 931, 410, 198, 220, 220, 10005, 20, 198, 220, 220, 6268, 18, 198, 10, 11556, 198, 220, 11194, 2421, 1432, 220, 931, 410, 198, 220, 220, 10005, 20, 198, 220, 220, 6268, 18, 198, 10, 11556, 198, 220, 17248, 2421, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1755 + 33\n\n\n 00000\n 1755\n 0033\n+ ----\n 00008\n\n\n 00000\n 1755\n 0033\n+ ----\n 00088\n\n\n 00000\n 1755\n 0033\n+ ----\n 00788\n\n\n 00000\n 1755\n 0033\n+ ----\n 01788\n\n", "id": 999}, {"char_len": 161, "tokens": [11242, 23, 489, 220, 8848, 17, 1432, 220, 931, 605, 198, 220, 220, 11242, 23, 198, 220, 220, 8848, 17, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 931, 605, 198, 220, 220, 11242, 23, 198, 220, 220, 8848, 17, 198, 10, 11556, 198, 220, 931, 1490, 1432, 220, 931, 605, 198, 220, 220, 11242, 23, 198, 220, 220, 8848, 17, 198, 10, 11556, 198, 220, 11436, 1490, 1432, 220, 931, 605, 198, 220, 220, 11242, 23, 198, 220, 220, 8848, 17, 198, 10, 11556, 198, 220, 24462, 1490, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1778 + 2102\n\n\n 00010\n 1778\n 2102\n+ ----\n 00000\n\n\n 00010\n 1778\n 2102\n+ ----\n 00080\n\n\n 00010\n 1778\n 2102\n+ ----\n 00880\n\n\n 00010\n 1778\n 2102\n+ ----\n 03880\n\n", "id": 1000}, {"char_len": 106, "tokens": [8929, 489, 220, 843, 1432, 220, 931, 15, 198, 220, 220, 8929, 198, 220, 220, 21040, 198, 10, 55023, 220, 931, 21, 1432, 220, 931, 15, 198, 220, 220, 8929, 198, 220, 220, 21040, 198, 10, 55023, 220, 11194, 21, 1432, 220, 931, 15, 198, 220, 220, 8929, 198, 220, 220, 21040, 198, 10, 55023, 220, 17248, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "144 + 32\n\n\n 0000\n 144\n 032\n+ ---\n 0006\n\n\n 0000\n 144\n 032\n+ ---\n 0076\n\n\n 0000\n 144\n 032\n+ ---\n 0176\n\n", "id": 1001}, {"char_len": 687, "tokens": [8878, 23629, 10750, 15, 489, 220, 868, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 931, 2304, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 931, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 11436, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 16745, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 23141, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 931, 23141, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 18807, 23141, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 931, 20615, 23141, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 6268, 20615, 23141, 1774, 1432, 220, 931, 931, 931, 410, 198, 220, 220, 8878, 23629, 10750, 15, 198, 220, 220, 931, 931, 4119, 20, 198, 10, 31423, 220, 16368, 20615, 23141, 1774, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1359081830 + 15\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000000005\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000000045\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000000845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000001845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000081845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00000081845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00009081845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00059081845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 00359081845\n\n\n 00000000000\n 1359081830\n 0000000015\n+ ----------\n 01359081845\n\n", "id": 1002}, {"char_len": 63, "tokens": [5958, 489, 220, 806, 1432, 220, 931, 198, 220, 220, 5958, 198, 220, 220, 806, 198, 10, 40614, 220, 8759, 1432, 220, 931, 198, 220, 220, 5958, 198, 220, 220, 806, 198, 10, 40614, 220, 26720, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "73 + 11\n\n\n 000\n 73\n 11\n+ --\n 004\n\n\n 000\n 73\n 11\n+ --\n 084\n\n", "id": 1003}, {"char_len": 380, "tokens": [24938, 22422, 19, 489, 220, 679, 24, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 931, 931, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 931, 6268, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 931, 25077, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 931, 19230, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 11194, 19230, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 24938, 22422, 19, 198, 220, 220, 931, 679, 24, 198, 10, 39707, 220, 27309, 19230, 6069, 271], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "6736364 + 2019\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00000003\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00000083\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00000383\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00008383\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00038383\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 00738383\n\n\n 00000010\n 6736364\n 0002019\n+ -------\n 06738383\n\n", "id": 1004}, {"char_len": 378, "tokens": [1419, 489, 220, 6640, 18807, 24, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 931, 2437, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 931, 843, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 13858, 843, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 13858, 843, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 21474, 843, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 931, 21474, 843, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 6726, 18, 198, 220, 220, 6640, 18807, 24, 198, 10, 39707, 220, 7755, 21474, 843, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "23 + 1080909\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00000002\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00000032\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00000932\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00000932\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00080932\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 00080932\n\n\n 00000010\n 0000023\n 1080909\n+ -------\n 01080932\n\n", "id": 1005}, {"char_len": 160, "tokens": [8953, 489, 220, 16567, 24, 1432, 220, 931, 605, 198, 220, 220, 15794, 23, 198, 220, 220, 16567, 24, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 4119, 605, 198, 220, 220, 15794, 23, 198, 220, 220, 16567, 24, 198, 10, 11556, 198, 220, 931, 2618, 1432, 220, 4119, 605, 198, 220, 220, 15794, 23, 198, 220, 220, 16567, 24, 198, 10, 11556, 198, 220, 11436, 2618, 1432, 220, 4119, 605, 198, 220, 220, 15794, 23, 198, 220, 220, 16567, 24, 198, 10, 11556, 198, 220, 22000, 2618, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "168 + 2679\n\n\n 00010\n 0168\n 2679\n+ ----\n 00007\n\n\n 00110\n 0168\n 2679\n+ ----\n 00047\n\n\n 00110\n 0168\n 2679\n+ ----\n 00847\n\n\n 00110\n 0168\n 2679\n+ ----\n 02847\n\n", "id": 1006}, {"char_len": 224, "tokens": [12754, 4103, 489, 220, 25344, 21, 1432, 220, 931, 931, 198, 220, 220, 12754, 4103, 198, 220, 220, 25221, 4161, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 12754, 4103, 198, 220, 220, 25221, 4161, 198, 10, 81049, 220, 931, 23904, 1432, 220, 931, 1041, 198, 220, 220, 12754, 4103, 198, 220, 220, 25221, 4161, 198, 10, 81049, 220, 931, 22287, 1432, 220, 7755, 1041, 198, 220, 220, 12754, 4103, 198, 220, 220, 25221, 4161, 198, 10, 81049, 220, 6268, 22287, 1432, 220, 7755, 1041, 198, 220, 220, 12754, 4103, 198, 220, 220, 25221, 4161, 198, 10, 81049, 220, 13103, 22287, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "24252 + 9296\n\n\n 000000\n 24252\n 09296\n+ -----\n 000008\n\n\n 000100\n 24252\n 09296\n+ -----\n 000048\n\n\n 000100\n 24252\n 09296\n+ -----\n 000548\n\n\n 010100\n 24252\n 09296\n+ -----\n 003548\n\n\n 010100\n 24252\n 09296\n+ -----\n 033548\n\n", "id": 1007}, {"char_len": 63, "tokens": [1544, 489, 220, 914, 1432, 220, 7755, 198, 220, 220, 1544, 198, 220, 220, 914, 198, 10, 40614, 220, 6726, 1432, 220, 7755, 198, 220, 220, 1544, 198, 220, 220, 914, 198, 10, 40614, 220, 24130, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "27 + 25\n\n\n 010\n 27\n 25\n+ --\n 002\n\n\n 010\n 27\n 25\n+ --\n 052\n\n", "id": 1008}, {"char_len": 160, "tokens": [19608, 489, 220, 6549, 22, 1432, 220, 931, 410, 198, 220, 220, 24222, 16, 198, 220, 220, 6549, 22, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 4119, 410, 198, 220, 220, 24222, 16, 198, 220, 220, 6549, 22, 198, 10, 11556, 198, 220, 931, 972, 1432, 220, 4119, 410, 198, 220, 220, 24222, 16, 198, 220, 220, 6549, 22, 198, 10, 11556, 198, 220, 11194, 972, 1432, 220, 4119, 410, 198, 220, 220, 24222, 16, 198, 220, 220, 6549, 22, 198, 10, 11556, 198, 220, 17248, 972, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "461 + 1257\n\n\n 00000\n 0461\n 1257\n+ ----\n 00008\n\n\n 00100\n 0461\n 1257\n+ ----\n 00018\n\n\n 00100\n 0461\n 1257\n+ ----\n 00718\n\n\n 00100\n 0461\n 1257\n+ ----\n 01718\n\n", "id": 1009}, {"char_len": 379, "tokens": [22418, 14274, 19, 489, 220, 20973, 1432, 220, 931, 931, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 931, 931, 2304, 1432, 220, 931, 931, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 931, 931, 1758, 1432, 220, 931, 7755, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 931, 6726, 1758, 1432, 220, 931, 7755, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 931, 21040, 1758, 1432, 220, 931, 7755, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 931, 25401, 1758, 1432, 220, 931, 7755, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 11436, 25401, 1758, 1432, 220, 931, 7755, 410, 198, 220, 220, 22418, 14274, 19, 198, 220, 220, 931, 23324, 16, 198, 10, 39707, 220, 23904, 25401, 1758, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "4892624 + 611\n\n\n 00000000\n 4892624\n 0000611\n+ -------\n 00000005\n\n\n 00000000\n 4892624\n 0000611\n+ -------\n 00000035\n\n\n 00001000\n 4892624\n 0000611\n+ -------\n 00000235\n\n\n 00001000\n 4892624\n 0000611\n+ -------\n 00003235\n\n\n 00001000\n 4892624\n 0000611\n+ -------\n 00093235\n\n\n 00001000\n 4892624\n 0000611\n+ -------\n 00893235\n\n\n 00001000\n 4892624\n 0000611\n+ -------\n 04893235\n\n", "id": 1010}, {"char_len": 159, "tokens": [1774, 489, 220, 22741, 20, 1432, 220, 931, 605, 198, 220, 220, 8759, 20, 198, 220, 220, 22741, 20, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 931, 605, 198, 220, 220, 8759, 20, 198, 220, 220, 22741, 20, 198, 10, 11556, 198, 220, 931, 1490, 1432, 220, 931, 605, 198, 220, 220, 8759, 20, 198, 220, 220, 22741, 20, 198, 10, 11556, 198, 220, 13858, 1490, 1432, 220, 931, 605, 198, 220, 220, 8759, 20, 198, 220, 220, 22741, 20, 198, 10, 11556, 198, 220, 25307, 1490, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "45 + 4935\n\n\n 00010\n 0045\n 4935\n+ ----\n 00000\n\n\n 00010\n 0045\n 4935\n+ ----\n 00080\n\n\n 00010\n 0045\n 4935\n+ ----\n 00980\n\n\n 00010\n 0045\n 4935\n+ ----\n 04980\n\n", "id": 1011}, {"char_len": 379, "tokens": [24187, 489, 220, 14417, 25392, 17, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 931, 931, 2318, 1432, 220, 931, 4119, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 931, 931, 972, 1432, 220, 931, 10731, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 931, 11030, 972, 1432, 220, 931, 10731, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 931, 26247, 972, 1432, 220, 931, 10731, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 931, 20758, 972, 1432, 220, 931, 10731, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 11194, 20758, 972, 1432, 220, 931, 10731, 410, 198, 220, 220, 931, 27309, 21, 198, 220, 220, 14417, 25392, 17, 198, 10, 39707, 220, 21360, 20758, 972, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "676 + 2756942\n\n\n 00000000\n 0000676\n 2756942\n+ -------\n 00000008\n\n\n 00000100\n 0000676\n 2756942\n+ -------\n 00000018\n\n\n 00001100\n 0000676\n 2756942\n+ -------\n 00000618\n\n\n 00001100\n 0000676\n 2756942\n+ -------\n 00007618\n\n\n 00001100\n 0000676\n 2756942\n+ -------\n 00057618\n\n\n 00001100\n 0000676\n 2756942\n+ -------\n 00757618\n\n\n 00001100\n 0000676\n 2756942\n+ -------\n 02757618\n\n", "id": 1012}, {"char_len": 106, "tokens": [1691, 489, 220, 24777, 1432, 220, 931, 15, 198, 220, 220, 11592, 198, 220, 220, 24777, 198, 10, 55023, 220, 931, 23, 1432, 220, 7755, 15, 198, 220, 220, 11592, 198, 220, 220, 24777, 198, 10, 55023, 220, 4119, 23, 1432, 220, 7755, 15, 198, 220, 220, 11592, 198, 220, 220, 24777, 198, 10, 55023, 220, 24443, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "21 + 897\n\n\n 0000\n 021\n 897\n+ ---\n 0008\n\n\n 0100\n 021\n 897\n+ ---\n 0018\n\n\n 0100\n 021\n 897\n+ ---\n 0918\n\n", "id": 1013}, {"char_len": 295, "tokens": [11286, 24430, 489, 220, 6083, 1432, 220, 931, 931, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 931, 931, 23, 1432, 220, 931, 7755, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 931, 4119, 23, 1432, 220, 931, 7755, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 931, 22534, 23, 1432, 220, 931, 7755, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 931, 25339, 23, 1432, 220, 931, 7755, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 8504, 25339, 23, 1432, 220, 931, 7755, 15, 198, 220, 220, 11286, 24430, 198, 220, 220, 931, 25221, 198, 10, 11556, 7233, 220, 16037, 25339, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "158726 + 92\n\n\n 0000000\n 158726\n 000092\n+ ------\n 0000008\n\n\n 0000100\n 158726\n 000092\n+ ------\n 0000018\n\n\n 0000100\n 158726\n 000092\n+ ------\n 0000818\n\n\n 0000100\n 158726\n 000092\n+ ------\n 0008818\n\n\n 0000100\n 158726\n 000092\n+ ------\n 0058818\n\n\n 0000100\n 158726\n 000092\n+ ------\n 0158818\n\n", "id": 1014}, {"char_len": 224, "tokens": [9367, 24, 489, 220, 15951, 2148, 1432, 220, 931, 7755, 198, 220, 220, 16745, 4578, 198, 220, 220, 15951, 2148, 198, 10, 81049, 220, 931, 931, 1432, 220, 931, 5120, 198, 220, 220, 16745, 4578, 198, 220, 220, 15951, 2148, 198, 10, 81049, 220, 931, 11139, 1432, 220, 4119, 5120, 198, 220, 220, 16745, 4578, 198, 220, 220, 15951, 2148, 198, 10, 81049, 220, 931, 9588, 1432, 220, 4119, 5120, 198, 220, 220, 16745, 4578, 198, 220, 220, 15951, 2148, 198, 10, 81049, 220, 11436, 9588, 1432, 220, 4119, 5120, 198, 220, 220, 16745, 4578, 198, 220, 220, 15951, 2148, 198, 10, 81049, 220, 24462, 9588, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1889 + 36431\n\n\n 000010\n 01889\n 36431\n+ -----\n 000000\n\n\n 000110\n 01889\n 36431\n+ -----\n 000020\n\n\n 001110\n 01889\n 36431\n+ -----\n 000320\n\n\n 001110\n 01889\n 36431\n+ -----\n 008320\n\n\n 001110\n 01889\n 36431\n+ -----\n 038320\n\n", "id": 1015}, {"char_len": 159, "tokens": [1419, 489, 220, 4513, 15, 1432, 220, 931, 410, 198, 220, 220, 6726, 18, 198, 220, 220, 4513, 15, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 931, 410, 198, 220, 220, 6726, 18, 198, 220, 220, 4513, 15, 198, 10, 11556, 198, 220, 931, 4331, 1432, 220, 931, 410, 198, 220, 220, 6726, 18, 198, 220, 220, 4513, 15, 198, 10, 11556, 198, 220, 6726, 4331, 1432, 220, 931, 410, 198, 220, 220, 6726, 18, 198, 220, 220, 4513, 15, 198, 10, 11556, 198, 220, 11531, 4331, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "23 + 1230\n\n\n 00000\n 0023\n 1230\n+ ----\n 00003\n\n\n 00000\n 0023\n 1230\n+ ----\n 00053\n\n\n 00000\n 0023\n 1230\n+ ----\n 00253\n\n\n 00000\n 0023\n 1230\n+ ----\n 01253\n\n", "id": 1016}, {"char_len": 159, "tokens": [3226, 489, 220, 18781, 16, 1432, 220, 931, 410, 198, 220, 220, 8504, 22, 198, 220, 220, 18781, 16, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 8504, 22, 198, 220, 220, 18781, 16, 198, 10, 11556, 198, 220, 931, 2495, 1432, 220, 931, 410, 198, 220, 220, 8504, 22, 198, 220, 220, 18781, 16, 198, 10, 11556, 198, 220, 11436, 2495, 1432, 220, 931, 410, 198, 220, 220, 8504, 22, 198, 220, 220, 18781, 16, 198, 10, 11556, 198, 220, 24462, 2495, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "57 + 3821\n\n\n 00000\n 0057\n 3821\n+ ----\n 00008\n\n\n 00000\n 0057\n 3821\n+ ----\n 00078\n\n\n 00000\n 0057\n 3821\n+ ----\n 00878\n\n\n 00000\n 0057\n 3821\n+ ----\n 03878\n\n", "id": 1017}, {"char_len": 160, "tokens": [9565, 19, 489, 220, 11908, 1432, 220, 931, 410, 198, 220, 220, 9565, 19, 198, 220, 220, 17248, 18, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 4119, 410, 198, 220, 220, 9565, 19, 198, 220, 220, 17248, 18, 198, 10, 11556, 198, 220, 931, 1114, 1432, 220, 4119, 410, 198, 220, 220, 9565, 19, 198, 220, 220, 17248, 18, 198, 10, 11556, 198, 220, 8504, 1114, 1432, 220, 4119, 410, 198, 220, 220, 9565, 19, 198, 220, 220, 17248, 18, 198, 10, 11556, 198, 220, 16037, 1114, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1344 + 173\n\n\n 00000\n 1344\n 0173\n+ ----\n 00007\n\n\n 00100\n 1344\n 0173\n+ ----\n 00017\n\n\n 00100\n 1344\n 0173\n+ ----\n 00517\n\n\n 00100\n 1344\n 0173\n+ ----\n 01517\n\n", "id": 1018}, {"char_len": 1240, "tokens": [10148, 12378, 19711, 16745, 4218, 489, 220, 10828, 1432, 220, 931, 931, 931, 931, 931, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 931, 11436, 1432, 220, 931, 931, 931, 931, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 931, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 931, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 6726, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 6726, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 931, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 6726, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 22349, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 20249, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 931, 20249, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 12505, 20249, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 931, 21112, 20249, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 6268, 21112, 20249, 13121, 26661, 1432, 220, 931, 931, 931, 4119, 1041, 198, 220, 220, 10148, 12378, 19711, 16745, 4218, 198, 220, 220, 931, 931, 931, 4119, 6086, 198, 10, 33658, 7233, 220, 16368, 21112, 20249, 13121, 26661, 271], "tokenizer": "cl100k_base", "tokens_len": 471, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "13740942301886 + 182\n\n\n 000000000000000\n 13740942301886\n 00000000000182\n+ --------------\n 000000000000008\n\n\n 000000000000100\n 13740942301886\n 00000000000182\n+ --------------\n 000000000000068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000000000068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000000002068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000000002068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000000302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000002302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000042302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000942302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000000942302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000040942302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 000740942302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 003740942302068\n\n\n 000000000001100\n 13740942301886\n 00000000000182\n+ --------------\n 013740942302068\n\n", "id": 1019}, {"char_len": 106, "tokens": [12060, 489, 220, 868, 1432, 220, 4119, 15, 198, 220, 220, 12060, 198, 220, 220, 16037, 198, 10, 55023, 220, 931, 17, 1432, 220, 4119, 15, 198, 220, 220, 12060, 198, 220, 220, 16037, 198, 10, 55023, 220, 6726, 17, 1432, 220, 4119, 15, 198, 220, 220, 12060, 198, 220, 220, 16037, 198, 10, 55023, 220, 18642, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "207 + 15\n\n\n 0010\n 207\n 015\n+ ---\n 0002\n\n\n 0010\n 207\n 015\n+ ---\n 0022\n\n\n 0010\n 207\n 015\n+ ---\n 0222\n\n", "id": 1020}, {"char_len": 382, "tokens": [5120, 24388, 15, 489, 220, 1041, 24678, 1432, 220, 931, 931, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 931, 931, 2304, 1432, 220, 931, 931, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 931, 931, 2721, 1432, 220, 931, 7755, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 931, 931, 2721, 1432, 220, 931, 7755, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 931, 13837, 2721, 1432, 220, 931, 7755, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 931, 13837, 2721, 1432, 220, 931, 7755, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 6726, 13837, 2721, 1432, 220, 931, 7755, 410, 198, 220, 220, 5120, 24388, 15, 198, 220, 220, 7755, 26956, 20, 198, 10, 39707, 220, 11531, 13837, 2721, 271], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1107230 + 100865\n\n\n 00000000\n 1107230\n 0100865\n+ -------\n 00000005\n\n\n 00000000\n 1107230\n 0100865\n+ -------\n 00000095\n\n\n 00001000\n 1107230\n 0100865\n+ -------\n 00000095\n\n\n 00001000\n 1107230\n 0100865\n+ -------\n 00008095\n\n\n 00001000\n 1107230\n 0100865\n+ -------\n 00008095\n\n\n 00001000\n 1107230\n 0100865\n+ -------\n 00208095\n\n\n 00001000\n 1107230\n 0100865\n+ -------\n 01208095\n\n", "id": 1021}, {"char_len": 295, "tokens": [1958, 489, 220, 7322, 19146, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 931, 931, 19, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 931, 6726, 19, 1432, 220, 931, 5120, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 931, 6726, 19, 1432, 220, 931, 5120, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 931, 20224, 19, 1432, 220, 931, 5120, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 4119, 20224, 19, 1432, 220, 931, 5120, 15, 198, 220, 220, 931, 22379, 198, 220, 220, 7322, 19146, 198, 10, 11556, 7233, 220, 10731, 20224, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "34 + 115990\n\n\n 0000000\n 000034\n 115990\n+ ------\n 0000004\n\n\n 0000100\n 000034\n 115990\n+ ------\n 0000024\n\n\n 0001100\n 000034\n 115990\n+ ------\n 0000024\n\n\n 0001100\n 000034\n 115990\n+ ------\n 0006024\n\n\n 0001100\n 000034\n 115990\n+ ------\n 0016024\n\n\n 0001100\n 000034\n 115990\n+ ------\n 0116024\n\n", "id": 1022}, {"char_len": 222, "tokens": [975, 489, 220, 8899, 2614, 1432, 220, 931, 7755, 198, 220, 220, 931, 975, 198, 220, 220, 8899, 2614, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 7755, 198, 220, 220, 931, 975, 198, 220, 220, 8899, 2614, 198, 10, 81049, 220, 931, 24996, 1432, 220, 931, 7755, 198, 220, 220, 931, 975, 198, 220, 220, 8899, 2614, 198, 10, 81049, 220, 931, 23213, 1432, 220, 931, 7755, 198, 220, 220, 931, 975, 198, 220, 220, 8899, 2614, 198, 10, 81049, 220, 4119, 23213, 1432, 220, 931, 7755, 198, 220, 220, 931, 975, 198, 220, 220, 8899, 2614, 198, 10, 81049, 220, 10731, 23213, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 11868\n\n\n 000010\n 00014\n 11868\n+ -----\n 000002\n\n\n 000010\n 00014\n 11868\n+ -----\n 000082\n\n\n 000010\n 00014\n 11868\n+ -----\n 000882\n\n\n 000010\n 00014\n 11868\n+ -----\n 001882\n\n\n 000010\n 00014\n 11868\n+ -----\n 011882\n\n", "id": 1023}, {"char_len": 576, "tokens": [20555, 10336, 15340, 489, 220, 6889, 18, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 931, 931, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 931, 8759, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 931, 22379, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 931, 22467, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 11436, 22467, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 16745, 22467, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 931, 19770, 22467, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 8504, 19770, 22467, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20555, 10336, 15340, 198, 220, 220, 931, 4119, 13103, 198, 10, 220, 29547, 220, 23785, 19770, 22467, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 251, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "454184316 + 1033\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000000009\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000000049\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000000349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000005349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000085349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0000185349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0004185349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0054185349\n\n\n 0000000000\n 454184316\n 000001033\n+ ---------\n 0454185349\n\n", "id": 1024}, {"char_len": 378, "tokens": [3391, 489, 220, 12994, 6549, 24, 1432, 220, 931, 931, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 931, 931, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 931, 931, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 931, 6268, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 931, 16368, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 931, 15231, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 6268, 15231, 2437, 1432, 220, 931, 4119, 605, 198, 220, 220, 931, 8759, 18, 198, 220, 220, 12994, 6549, 24, 198, 10, 39707, 220, 20063, 15231, 2437, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "43 + 2331259\n\n\n 00000010\n 0000043\n 2331259\n+ -------\n 00000002\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 00000002\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 00000302\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 00001302\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 00031302\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 00331302\n\n\n 00000110\n 0000043\n 2331259\n+ -------\n 02331302\n\n", "id": 1025}, {"char_len": 296, "tokens": [19104, 489, 220, 24515, 10148, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 931, 931, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 931, 13858, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 931, 25867, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 931, 25458, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 13858, 25458, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 19104, 198, 220, 220, 24515, 10148, 198, 10, 11556, 7233, 220, 27033, 25458, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "760 + 596137\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0000007\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0000097\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0000897\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0006897\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0096897\n\n\n 0000000\n 000760\n 596137\n+ ------\n 0596897\n\n", "id": 1026}, {"char_len": 378, "tokens": [806, 489, 220, 15531, 11436, 16, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 931, 931, 2437, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 931, 931, 6083, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 931, 931, 6083, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 931, 931, 6083, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 931, 7467, 6083, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 13858, 7467, 6083, 1432, 220, 931, 931, 410, 198, 220, 220, 931, 4119, 16, 198, 220, 220, 15531, 11436, 16, 198, 10, 39707, 220, 23273, 7467, 6083, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "11 + 2990081\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00000002\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00000092\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00000092\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00000092\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00090092\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 00990092\n\n\n 00000000\n 0000011\n 2990081\n+ -------\n 02990092\n\n", "id": 1027}, {"char_len": 380, "tokens": [4645, 26013, 23, 489, 220, 7261, 20, 1432, 220, 931, 931, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 11436, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 26983, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 3753, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 931, 3753, 2839, 1432, 220, 931, 4119, 605, 198, 220, 220, 4645, 26013, 23, 198, 220, 220, 931, 7261, 20, 198, 10, 39707, 220, 7755, 3753, 2839, 271], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1018678 + 1125\n\n\n 00000010\n 1018678\n 0001125\n+ -------\n 00000003\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 00000003\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 00000803\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 00009803\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 00019803\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 00019803\n\n\n 00000110\n 1018678\n 0001125\n+ -------\n 01019803\n\n", "id": 1028}, {"char_len": 295, "tokens": [6860, 16874, 489, 220, 845, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 931, 931, 20, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 931, 6268, 20, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 931, 13103, 20, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 931, 13103, 20, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 8759, 13103, 20, 1432, 220, 931, 4119, 15, 198, 220, 220, 6860, 16874, 198, 220, 220, 931, 15794, 198, 10, 11556, 7233, 220, 15901, 13103, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "140319 + 16\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0000005\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0000035\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0000335\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0000335\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0040335\n\n\n 0000010\n 140319\n 000016\n+ ------\n 0140335\n\n", "id": 1029}, {"char_len": 159, "tokens": [22191, 16, 489, 220, 1032, 1432, 220, 931, 410, 198, 220, 220, 22191, 16, 198, 220, 220, 4119, 18, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 931, 410, 198, 220, 220, 22191, 16, 198, 220, 220, 4119, 18, 198, 10, 11556, 198, 220, 931, 5728, 1432, 220, 931, 410, 198, 220, 220, 22191, 16, 198, 220, 220, 4119, 18, 198, 10, 11556, 198, 220, 11194, 5728, 1432, 220, 931, 410, 198, 220, 220, 22191, 16, 198, 220, 220, 4119, 18, 198, 10, 11556, 198, 220, 24970, 5728, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "4761 + 13\n\n\n 00000\n 4761\n 0013\n+ ----\n 00004\n\n\n 00000\n 4761\n 0013\n+ ----\n 00074\n\n\n 00000\n 4761\n 0013\n+ ----\n 00774\n\n\n 00000\n 4761\n 0013\n+ ----\n 04774\n\n", "id": 1030}, {"char_len": 687, "tokens": [4643, 489, 220, 20460, 25515, 8899, 20, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 931, 931, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 931, 931, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 931, 6726, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 931, 11531, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 931, 17574, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 8504, 17574, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 24646, 17574, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 931, 9741, 17574, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 11030, 9741, 17574, 1227, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 931, 931, 11194, 24, 198, 220, 220, 20460, 25515, 8899, 20, 198, 10, 31423, 220, 25921, 9741, 17574, 1227, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "79 + 5618541185\n\n\n 00000000010\n 0000000079\n 5618541185\n+ ----------\n 00000000004\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00000000064\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00000000264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00000001264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00000041264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00000541264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00008541264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00018541264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 00618541264\n\n\n 00000000110\n 0000000079\n 5618541185\n+ ----------\n 05618541264\n\n", "id": 1031}, {"char_len": 579, "tokens": [20758, 22895, 18695, 489, 220, 19057, 22349, 18, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 931, 931, 23, 1432, 220, 931, 931, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 931, 931, 23, 1432, 220, 931, 931, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 931, 13837, 23, 1432, 220, 931, 931, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 931, 19272, 23, 1432, 220, 931, 7755, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 6268, 19272, 23, 1432, 220, 931, 5120, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 20063, 19272, 23, 1432, 220, 4119, 5120, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 931, 20063, 19272, 23, 1432, 220, 4119, 5120, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 11436, 20063, 19272, 23, 1432, 220, 4119, 5120, 7755, 15, 198, 220, 220, 20758, 22895, 18695, 198, 220, 220, 6268, 17814, 19711, 198, 10, 220, 29547, 220, 24824, 20063, 19272, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 252, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "576558385 + 3680423\n\n\n 0000000000\n 576558385\n 003680423\n+ ---------\n 0000000008\n\n\n 0000000100\n 576558385\n 003680423\n+ ---------\n 0000000008\n\n\n 0000000100\n 576558385\n 003680423\n+ ---------\n 0000000808\n\n\n 0000000100\n 576558385\n 003680423\n+ ---------\n 0000008808\n\n\n 0000100100\n 576558385\n 003680423\n+ ---------\n 0000038808\n\n\n 0001100100\n 576558385\n 003680423\n+ ---------\n 0000238808\n\n\n 0011100100\n 576558385\n 003680423\n+ ---------\n 0000238808\n\n\n 0011100100\n 576558385\n 003680423\n+ ---------\n 0080238808\n\n\n 0011100100\n 576558385\n 003680423\n+ ---------\n 0580238808\n\n", "id": 1032}, {"char_len": 160, "tokens": [14590, 489, 220, 12112, 20, 1432, 220, 931, 605, 198, 220, 220, 20063, 22, 198, 220, 220, 12112, 20, 198, 10, 11556, 198, 220, 931, 2437, 1432, 220, 931, 605, 198, 220, 220, 20063, 22, 198, 220, 220, 12112, 20, 198, 10, 11556, 198, 220, 931, 6083, 1432, 220, 931, 605, 198, 220, 220, 20063, 22, 198, 220, 220, 12112, 20, 198, 10, 11556, 198, 220, 6268, 6083, 1432, 220, 931, 605, 198, 220, 220, 20063, 22, 198, 220, 220, 12112, 20, 198, 10, 11556, 198, 220, 20063, 6083, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "237 + 2155\n\n\n 00010\n 0237\n 2155\n+ ----\n 00002\n\n\n 00010\n 0237\n 2155\n+ ----\n 00092\n\n\n 00010\n 0237\n 2155\n+ ----\n 00392\n\n\n 00010\n 0237\n 2155\n+ ----\n 02392\n\n", "id": 1033}, {"char_len": 107, "tokens": [11242, 489, 220, 7743, 1432, 220, 4119, 15, 198, 220, 220, 11242, 198, 220, 220, 7743, 198, 10, 55023, 220, 931, 21, 1432, 220, 4119, 15, 198, 220, 220, 11242, 198, 220, 220, 7743, 198, 10, 55023, 220, 11436, 21, 1432, 220, 4119, 15, 198, 220, 220, 11242, 198, 220, 220, 7743, 198, 10, 55023, 220, 22000, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "177 + 109\n\n\n 0010\n 177\n 109\n+ ---\n 0006\n\n\n 0010\n 177\n 109\n+ ---\n 0086\n\n\n 0010\n 177\n 109\n+ ---\n 0286\n\n", "id": 1034}, {"char_len": 810, "tokens": [10559, 23388, 17361, 3264, 489, 220, 1644, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 931, 4119, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 931, 18887, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 931, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 11436, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 22000, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 931, 25001, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 4119, 25001, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 23324, 25001, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 931, 19608, 25001, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 8504, 19608, 25001, 24626, 1432, 220, 931, 931, 931, 5120, 198, 220, 220, 10559, 23388, 17361, 3264, 198, 220, 220, 931, 931, 931, 1644, 198, 10, 220, 26999, 220, 16037, 19608, 25001, 24626, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "15461928698 + 33\n\n\n 000000000010\n 15461928698\n 00000000033\n+ -----------\n 000000000001\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000000000031\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000000000731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000000008731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000000028731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000000928731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000001928731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000061928731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 000461928731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 005461928731\n\n\n 000000000110\n 15461928698\n 00000000033\n+ -----------\n 015461928731\n\n", "id": 1035}, {"char_len": 159, "tokens": [14423, 24, 489, 220, 1114, 1432, 220, 931, 605, 198, 220, 220, 14423, 24, 198, 220, 220, 4119, 22, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 931, 605, 198, 220, 220, 14423, 24, 198, 220, 220, 4119, 22, 198, 10, 11556, 198, 220, 931, 1927, 1432, 220, 931, 605, 198, 220, 220, 14423, 24, 198, 220, 220, 4119, 22, 198, 10, 11556, 198, 220, 6726, 1927, 1432, 220, 931, 605, 198, 220, 220, 14423, 24, 198, 220, 220, 4119, 22, 198, 10, 11556, 198, 220, 21040, 1927, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3219 + 17\n\n\n 00010\n 3219\n 0017\n+ ----\n 00006\n\n\n 00010\n 3219\n 0017\n+ ----\n 00036\n\n\n 00010\n 3219\n 0017\n+ ----\n 00236\n\n\n 00010\n 3219\n 0017\n+ ----\n 03236\n\n", "id": 1036}, {"char_len": 297, "tokens": [6549, 20945, 489, 220, 11227, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 931, 931, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 931, 11030, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 931, 15794, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 931, 23929, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 6726, 23929, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 6549, 20945, 198, 220, 220, 6726, 6804, 198, 10, 11556, 7233, 220, 11531, 23929, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 145, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "125041 + 2127\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0000008\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0000068\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0000168\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0007168\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0027168\n\n\n 0000000\n 125041\n 002127\n+ ------\n 0127168\n\n", "id": 1037}, {"char_len": 159, "tokens": [2636, 18, 489, 220, 717, 1432, 220, 931, 410, 198, 220, 220, 2636, 18, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 931, 2304, 1432, 220, 931, 410, 198, 220, 220, 2636, 18, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 931, 868, 1432, 220, 931, 410, 198, 220, 220, 2636, 18, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 931, 868, 1432, 220, 931, 410, 198, 220, 220, 2636, 18, 198, 220, 220, 4119, 17, 198, 10, 11556, 198, 220, 16193, 868, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "5003 + 12\n\n\n 00000\n 5003\n 0012\n+ ----\n 00005\n\n\n 00000\n 5003\n 0012\n+ ----\n 00015\n\n\n 00000\n 5003\n 0012\n+ ----\n 00015\n\n\n 00000\n 5003\n 0012\n+ ----\n 05015\n\n", "id": 1038}, {"char_len": 159, "tokens": [12994, 19, 489, 220, 777, 1432, 220, 931, 605, 198, 220, 220, 12994, 19, 198, 220, 220, 4119, 24, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 931, 605, 198, 220, 220, 12994, 19, 198, 220, 220, 4119, 24, 198, 10, 11556, 198, 220, 931, 4331, 1432, 220, 931, 605, 198, 220, 220, 12994, 19, 198, 220, 220, 4119, 24, 198, 10, 11556, 198, 220, 6268, 4331, 1432, 220, 931, 605, 198, 220, 220, 12994, 19, 198, 220, 220, 4119, 24, 198, 10, 11556, 198, 220, 20063, 4331, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2334 + 19\n\n\n 00010\n 2334\n 0019\n+ ----\n 00003\n\n\n 00010\n 2334\n 0019\n+ ----\n 00053\n\n\n 00010\n 2334\n 0019\n+ ----\n 00353\n\n\n 00010\n 2334\n 0019\n+ ----\n 02353\n\n", "id": 1039}, {"char_len": 106, "tokens": [2366, 489, 220, 845, 1432, 220, 931, 15, 198, 220, 220, 2366, 198, 220, 220, 15794, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 2366, 198, 220, 220, 15794, 198, 10, 55023, 220, 4119, 23, 1432, 220, 931, 15, 198, 220, 220, 2366, 198, 220, 220, 15794, 198, 10, 55023, 220, 11592, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "202 + 16\n\n\n 0000\n 202\n 016\n+ ---\n 0008\n\n\n 0000\n 202\n 016\n+ ---\n 0018\n\n\n 0000\n 202\n 016\n+ ---\n 0218\n\n", "id": 1040}, {"char_len": 223, "tokens": [9423, 6365, 489, 220, 23802, 1432, 220, 931, 7755, 198, 220, 220, 9423, 6365, 198, 220, 220, 11030, 2166, 198, 10, 81049, 220, 931, 4119, 1432, 220, 931, 5120, 198, 220, 220, 9423, 6365, 198, 220, 220, 11030, 2166, 198, 10, 81049, 220, 931, 20945, 1432, 220, 4119, 5120, 198, 220, 220, 9423, 6365, 198, 220, 220, 11030, 2166, 198, 10, 81049, 220, 931, 20945, 1432, 220, 4119, 5120, 198, 220, 220, 9423, 6365, 198, 220, 220, 11030, 2166, 198, 10, 81049, 220, 8759, 20945, 1432, 220, 4119, 5120, 198, 220, 220, 9423, 6365, 198, 220, 220, 11030, 2166, 198, 10, 81049, 220, 15901, 20945, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "13393 + 648\n\n\n 000010\n 13393\n 00648\n+ -----\n 000001\n\n\n 000110\n 13393\n 00648\n+ -----\n 000041\n\n\n 001110\n 13393\n 00648\n+ -----\n 000041\n\n\n 001110\n 13393\n 00648\n+ -----\n 004041\n\n\n 001110\n 13393\n 00648\n+ -----\n 014041\n\n", "id": 1041}, {"char_len": 811, "tokens": [24515, 489, 220, 19319, 26421, 10410, 3971, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 931, 11194, 1432, 220, 931, 931, 931, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 931, 24970, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 931, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 8504, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 16037, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 931, 19633, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 13858, 19633, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 13858, 19633, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 7743, 19633, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 931, 7743, 19633, 20800, 1432, 220, 931, 931, 4119, 1041, 198, 220, 220, 931, 931, 8504, 4161, 198, 220, 220, 19319, 26421, 10410, 3971, 198, 10, 220, 26999, 220, 18807, 7743, 19633, 20800, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "596 + 90109514851\n\n\n 000000000000\n 00000000596\n 90109514851\n+ -----------\n 000000000007\n\n\n 000000000100\n 00000000596\n 90109514851\n+ -----------\n 000000000047\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000000000447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000000005447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000000015447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000000515447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000009515447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000009515447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000109515447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 000109515447\n\n\n 000000001100\n 00000000596\n 90109514851\n+ -----------\n 090109515447\n\n", "id": 1042}, {"char_len": 63, "tokens": [2491, 489, 220, 2131, 1432, 220, 7755, 198, 220, 220, 2491, 198, 220, 220, 2131, 198, 10, 40614, 220, 8759, 1432, 220, 5120, 198, 220, 220, 2491, 198, 220, 220, 2131, 198, 10, 40614, 220, 8759, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "49 + 55\n\n\n 010\n 49\n 55\n+ --\n 004\n\n\n 110\n 49\n 55\n+ --\n 004\n\n", "id": 1043}, {"char_len": 106, "tokens": [4578, 489, 220, 16660, 1432, 220, 4119, 15, 198, 220, 220, 25867, 198, 220, 220, 16660, 198, 10, 55023, 220, 931, 20, 1432, 220, 10731, 15, 198, 220, 220, 25867, 198, 220, 220, 16660, 198, 10, 55023, 220, 11030, 20, 1432, 220, 10731, 15, 198, 220, 220, 25867, 198, 220, 220, 16660, 198, 10, 55023, 220, 23110, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "89 + 276\n\n\n 0010\n 089\n 276\n+ ---\n 0005\n\n\n 0110\n 089\n 276\n+ ---\n 0065\n\n\n 0110\n 089\n 276\n+ ---\n 0365\n\n", "id": 1044}, {"char_len": 222, "tokens": [2031, 489, 220, 4364, 843, 1432, 220, 931, 931, 198, 220, 220, 931, 2031, 198, 220, 220, 4364, 843, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 1041, 198, 220, 220, 931, 2031, 198, 220, 220, 4364, 843, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 1041, 198, 220, 220, 931, 2031, 198, 220, 220, 4364, 843, 198, 10, 81049, 220, 931, 4278, 1432, 220, 931, 1041, 198, 220, 220, 931, 2031, 198, 220, 220, 4364, 843, 198, 10, 81049, 220, 6726, 4278, 1432, 220, 931, 1041, 198, 220, 220, 931, 2031, 198, 220, 220, 4364, 843, 198, 10, 81049, 220, 11531, 4278, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "70 + 12032\n\n\n 000000\n 00070\n 12032\n+ -----\n 000002\n\n\n 000100\n 00070\n 12032\n+ -----\n 000002\n\n\n 000100\n 00070\n 12032\n+ -----\n 000102\n\n\n 000100\n 00070\n 12032\n+ -----\n 002102\n\n\n 000100\n 00070\n 12032\n+ -----\n 012102\n\n", "id": 1045}, {"char_len": 159, "tokens": [12226, 19, 489, 220, 1927, 1432, 220, 931, 605, 198, 220, 220, 12226, 19, 198, 220, 220, 6268, 21, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 931, 605, 198, 220, 220, 12226, 19, 198, 220, 220, 6268, 21, 198, 10, 11556, 198, 220, 931, 1272, 1432, 220, 931, 605, 198, 220, 220, 12226, 19, 198, 220, 220, 6268, 21, 198, 10, 11556, 198, 220, 4119, 1272, 1432, 220, 931, 605, 198, 220, 220, 12226, 19, 198, 220, 220, 6268, 21, 198, 10, 11556, 198, 220, 18887, 1272, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3104 + 36\n\n\n 00010\n 3104\n 0036\n+ ----\n 00000\n\n\n 00010\n 3104\n 0036\n+ ----\n 00040\n\n\n 00010\n 3104\n 0036\n+ ----\n 00140\n\n\n 00010\n 3104\n 0036\n+ ----\n 03140\n\n", "id": 1046}, {"char_len": 106, "tokens": [4331, 489, 220, 6849, 1432, 220, 931, 15, 198, 220, 220, 25210, 198, 220, 220, 6849, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 25210, 198, 220, 220, 6849, 198, 10, 55023, 220, 8504, 22, 1432, 220, 931, 15, 198, 220, 220, 25210, 198, 220, 220, 6849, 198, 10, 55023, 220, 16037, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "53 + 104\n\n\n 0000\n 053\n 104\n+ ---\n 0007\n\n\n 0000\n 053\n 104\n+ ---\n 0057\n\n\n 0000\n 053\n 104\n+ ---\n 0157\n\n", "id": 1047}, {"char_len": 379, "tokens": [10161, 17408, 17, 489, 220, 21618, 1432, 220, 931, 931, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 931, 931, 1721, 1432, 220, 931, 931, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 931, 931, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 931, 8759, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 931, 22379, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 931, 24347, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 8759, 24347, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 10161, 17408, 17, 198, 220, 220, 931, 24130, 24, 198, 10, 39707, 220, 15901, 24347, 5925, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1492962 + 529\n\n\n 00000010\n 1492962\n 0000529\n+ -------\n 00000001\n\n\n 00000010\n 1492962\n 0000529\n+ -------\n 00000091\n\n\n 00001010\n 1492962\n 0000529\n+ -------\n 00000491\n\n\n 00001010\n 1492962\n 0000529\n+ -------\n 00003491\n\n\n 00001010\n 1492962\n 0000529\n+ -------\n 00093491\n\n\n 00001010\n 1492962\n 0000529\n+ -------\n 00493491\n\n\n 00001010\n 1492962\n 0000529\n+ -------\n 01493491\n\n", "id": 1048}, {"char_len": 159, "tokens": [15231, 17, 489, 220, 2790, 1432, 220, 931, 410, 198, 220, 220, 15231, 17, 198, 220, 220, 8759, 21, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 15231, 17, 198, 220, 220, 8759, 21, 198, 10, 11556, 198, 220, 931, 2495, 1432, 220, 931, 410, 198, 220, 220, 15231, 17, 198, 220, 220, 8759, 21, 198, 10, 11556, 198, 220, 4119, 2495, 1432, 220, 931, 410, 198, 220, 220, 15231, 17, 198, 220, 220, 8759, 21, 198, 10, 11556, 198, 220, 18887, 2495, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3132 + 46\n\n\n 00000\n 3132\n 0046\n+ ----\n 00008\n\n\n 00000\n 3132\n 0046\n+ ----\n 00078\n\n\n 00000\n 3132\n 0046\n+ ----\n 00178\n\n\n 00000\n 3132\n 0046\n+ ----\n 03178\n\n", "id": 1049}, {"char_len": 296, "tokens": [4513, 20325, 489, 220, 25828, 1432, 220, 931, 4119, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 931, 931, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 931, 11194, 18, 1432, 220, 931, 4645, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 931, 23587, 18, 1432, 220, 931, 4645, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 931, 18318, 18, 1432, 220, 931, 4645, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 6726, 18318, 18, 1432, 220, 931, 4645, 15, 198, 220, 220, 4513, 20325, 198, 220, 220, 931, 25828, 198, 10, 11556, 7233, 220, 11531, 18318, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "123455 + 918\n\n\n 0000010\n 123455\n 000918\n+ ------\n 0000003\n\n\n 0000010\n 123455\n 000918\n+ ------\n 0000073\n\n\n 0001010\n 123455\n 000918\n+ ------\n 0000373\n\n\n 0001010\n 123455\n 000918\n+ ------\n 0004373\n\n\n 0001010\n 123455\n 000918\n+ ------\n 0024373\n\n\n 0001010\n 123455\n 000918\n+ ------\n 0124373\n\n", "id": 1050}, {"char_len": 380, "tokens": [7261, 18196, 15, 489, 220, 8765, 23, 1432, 220, 931, 931, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 931, 931, 2318, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 931, 931, 1591, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 931, 11030, 1591, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 931, 23835, 1591, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 931, 15999, 1591, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 4119, 15999, 1591, 1432, 220, 931, 4119, 410, 198, 220, 220, 7261, 18196, 15, 198, 220, 220, 931, 8765, 23, 198, 10, 39707, 220, 10731, 15999, 1591, 271], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1123290 + 3338\n\n\n 00000000\n 1123290\n 0003338\n+ -------\n 00000008\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 00000028\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 00000628\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 00006628\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 00026628\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 00126628\n\n\n 00000100\n 1123290\n 0003338\n+ -------\n 01126628\n\n", "id": 1051}, {"char_len": 63, "tokens": [5932, 489, 220, 1544, 1432, 220, 931, 198, 220, 220, 5932, 198, 220, 220, 1544, 198, 10, 40614, 220, 11436, 1432, 220, 1041, 198, 220, 220, 5932, 198, 220, 220, 1544, 198, 10, 40614, 220, 11436, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "81 + 27\n\n\n 000\n 81\n 27\n+ --\n 008\n\n\n 100\n 81\n 27\n+ --\n 008\n\n", "id": 1052}, {"char_len": 106, "tokens": [19038, 489, 220, 3487, 1432, 220, 4119, 15, 198, 220, 220, 19038, 198, 220, 220, 25921, 198, 10, 55023, 220, 931, 18, 1432, 220, 4119, 15, 198, 220, 220, 19038, 198, 220, 220, 25921, 198, 10, 55023, 220, 13858, 18, 1432, 220, 4119, 15, 198, 220, 220, 19038, 198, 220, 220, 25921, 198, 10, 55023, 220, 27033, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "537 + 56\n\n\n 0010\n 537\n 056\n+ ---\n 0003\n\n\n 0010\n 537\n 056\n+ ---\n 0093\n\n\n 0010\n 537\n 056\n+ ---\n 0593\n\n", "id": 1053}, {"char_len": 160, "tokens": [10861, 15, 489, 220, 25890, 1432, 220, 931, 410, 198, 220, 220, 10861, 15, 198, 220, 220, 27311, 23, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 10861, 15, 198, 220, 220, 27311, 23, 198, 10, 11556, 198, 220, 931, 3264, 1432, 220, 7755, 410, 198, 220, 220, 10861, 15, 198, 220, 220, 27311, 23, 198, 10, 11556, 198, 220, 8504, 3264, 1432, 220, 7755, 410, 198, 220, 220, 10861, 15, 198, 220, 220, 27311, 23, 198, 10, 11556, 198, 220, 18070, 3264, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1720 + 878\n\n\n 00000\n 1720\n 0878\n+ ----\n 00008\n\n\n 00000\n 1720\n 0878\n+ ----\n 00098\n\n\n 01000\n 1720\n 0878\n+ ----\n 00598\n\n\n 01000\n 1720\n 0878\n+ ----\n 02598\n\n", "id": 1054}, {"char_len": 160, "tokens": [12422, 489, 220, 10290, 17, 1432, 220, 931, 410, 198, 220, 220, 20063, 20, 198, 220, 220, 10290, 17, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 931, 410, 198, 220, 220, 20063, 20, 198, 220, 220, 10290, 17, 198, 10, 11556, 198, 220, 931, 3080, 1432, 220, 931, 410, 198, 220, 220, 20063, 20, 198, 220, 220, 10290, 17, 198, 10, 11556, 198, 220, 11030, 3080, 1432, 220, 931, 410, 198, 220, 220, 20063, 20, 198, 220, 220, 10290, 17, 198, 10, 11556, 198, 220, 15794, 3080, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "235 + 1432\n\n\n 00000\n 0235\n 1432\n+ ----\n 00007\n\n\n 00000\n 0235\n 1432\n+ ----\n 00067\n\n\n 00000\n 0235\n 1432\n+ ----\n 00667\n\n\n 00000\n 0235\n 1432\n+ ----\n 01667\n\n", "id": 1055}, {"char_len": 222, "tokens": [605, 489, 220, 22905, 5332, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 22905, 5332, 198, 10, 81049, 220, 931, 6726, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 22905, 5332, 198, 10, 81049, 220, 931, 24996, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 22905, 5332, 198, 10, 81049, 220, 931, 25873, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 22905, 5332, 198, 10, 81049, 220, 11436, 25873, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 22905, 5332, 198, 10, 81049, 220, 24824, 25873, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 58972\n\n\n 000000\n 00010\n 58972\n+ -----\n 000002\n\n\n 000000\n 00010\n 58972\n+ -----\n 000082\n\n\n 000000\n 00010\n 58972\n+ -----\n 000982\n\n\n 000000\n 00010\n 58972\n+ -----\n 008982\n\n\n 000000\n 00010\n 58972\n+ -----\n 058982\n\n", "id": 1056}, {"char_len": 106, "tokens": [11242, 489, 220, 1591, 1432, 220, 4119, 15, 198, 220, 220, 11242, 198, 220, 220, 22000, 198, 10, 55023, 220, 931, 20, 1432, 220, 10731, 15, 198, 220, 220, 11242, 198, 220, 220, 22000, 198, 10, 55023, 220, 931, 20, 1432, 220, 10731, 15, 198, 220, 220, 11242, 198, 220, 220, 22000, 198, 10, 55023, 220, 11139, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "177 + 28\n\n\n 0010\n 177\n 028\n+ ---\n 0005\n\n\n 0110\n 177\n 028\n+ ---\n 0005\n\n\n 0110\n 177\n 028\n+ ---\n 0205\n\n", "id": 1057}, {"char_len": 63, "tokens": [1958, 489, 220, 2983, 1432, 220, 931, 198, 220, 220, 1958, 198, 220, 220, 2983, 198, 10, 40614, 220, 11030, 1432, 220, 931, 198, 220, 220, 1958, 198, 220, 220, 2983, 198, 10, 40614, 220, 26247, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "34 + 42\n\n\n 000\n 34\n 42\n+ --\n 006\n\n\n 000\n 34\n 42\n+ --\n 076\n\n", "id": 1058}, {"char_len": 106, "tokens": [975, 489, 220, 26260, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 26260, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 26260, 198, 10, 55023, 220, 8504, 22, 1432, 220, 931, 15, 198, 220, 220, 15901, 198, 220, 220, 26260, 198, 10, 55023, 220, 22679, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 743\n\n\n 0000\n 014\n 743\n+ ---\n 0007\n\n\n 0000\n 014\n 743\n+ ---\n 0057\n\n\n 0000\n 014\n 743\n+ ---\n 0757\n\n", "id": 1059}, {"char_len": 378, "tokens": [14087, 3101, 16, 489, 220, 1490, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 931, 931, 1721, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 931, 931, 5932, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 931, 931, 5932, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 931, 14649, 5932, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 931, 18660, 5932, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 6268, 18660, 5932, 1432, 220, 931, 931, 410, 198, 220, 220, 14087, 3101, 16, 198, 220, 220, 931, 11436, 15, 198, 10, 39707, 220, 20063, 18660, 5932, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2363001 + 80\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00000001\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00000081\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00000081\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00003081\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00063081\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 00363081\n\n\n 00000000\n 2363001\n 0000080\n+ -------\n 02363081\n\n", "id": 1060}, {"char_len": 815, "tokens": [20465, 11584, 6268, 914, 489, 220, 10350, 9892, 19, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 931, 13858, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 931, 27033, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 931, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 4119, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 22534, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 931, 21893, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 6726, 21893, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 18642, 21893, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 931, 23024, 21893, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 6726, 23024, 21893, 26328, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 20465, 11584, 6268, 914, 198, 220, 220, 931, 16368, 23713, 1958, 198, 10, 220, 26999, 220, 22349, 23024, 21893, 26328, 271], "tokenizer": "cl100k_base", "tokens_len": 329, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "42721400325 + 1381634\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000000009\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000000059\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000000959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000001959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000081959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000000781959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000002781959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000022781959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 000722781959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 002722781959\n\n\n 000000000000\n 42721400325\n 00001381634\n+ -----------\n 042722781959\n\n", "id": 1061}, {"char_len": 225, "tokens": [19391, 5332, 489, 220, 12533, 3487, 1432, 220, 931, 931, 198, 220, 220, 19391, 5332, 198, 220, 220, 12533, 3487, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 19391, 5332, 198, 220, 220, 12533, 3487, 198, 10, 81049, 220, 931, 22000, 1432, 220, 4119, 1041, 198, 220, 220, 19391, 5332, 198, 220, 220, 12533, 3487, 198, 10, 81049, 220, 931, 16884, 1432, 220, 4119, 1041, 198, 220, 220, 19391, 5332, 198, 220, 220, 12533, 3487, 198, 10, 81049, 220, 8759, 16884, 1432, 220, 4119, 1041, 198, 220, 220, 19391, 5332, 198, 220, 220, 12533, 3487, 198, 10, 81049, 220, 20478, 16884, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "41972 + 22356\n\n\n 000000\n 41972\n 22356\n+ -----\n 000008\n\n\n 000100\n 41972\n 22356\n+ -----\n 000028\n\n\n 001100\n 41972\n 22356\n+ -----\n 000328\n\n\n 001100\n 41972\n 22356\n+ -----\n 004328\n\n\n 001100\n 41972\n 22356\n+ -----\n 064328\n\n", "id": 1062}, {"char_len": 63, "tokens": [1627, 489, 220, 2813, 1432, 220, 7755, 198, 220, 220, 1627, 198, 220, 220, 2813, 198, 10, 40614, 220, 6268, 1432, 220, 5120, 198, 220, 220, 1627, 198, 220, 220, 2813, 198, 10, 40614, 220, 6268, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "26 + 77\n\n\n 010\n 26\n 77\n+ --\n 003\n\n\n 110\n 26\n 77\n+ --\n 003\n\n", "id": 1063}, {"char_len": 63, "tokens": [914, 489, 220, 3487, 1432, 220, 7755, 198, 220, 220, 914, 198, 220, 220, 3487, 198, 10, 40614, 220, 4119, 1432, 220, 7755, 198, 220, 220, 914, 198, 220, 220, 3487, 198, 10, 40614, 220, 22534, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "25 + 56\n\n\n 010\n 25\n 56\n+ --\n 001\n\n\n 010\n 25\n 56\n+ --\n 081\n\n", "id": 1064}, {"char_len": 160, "tokens": [25326, 22, 489, 220, 6860, 1432, 220, 931, 410, 198, 220, 220, 25326, 22, 198, 220, 220, 15901, 15, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 931, 410, 198, 220, 220, 25326, 22, 198, 220, 220, 15901, 15, 198, 10, 11556, 198, 220, 931, 2813, 1432, 220, 931, 410, 198, 220, 220, 25326, 22, 198, 220, 220, 15901, 15, 198, 10, 11556, 198, 220, 11030, 2813, 1432, 220, 931, 410, 198, 220, 220, 25326, 22, 198, 220, 220, 15901, 15, 198, 10, 11556, 198, 220, 28153, 2813, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "9537 + 140\n\n\n 00000\n 9537\n 0140\n+ ----\n 00007\n\n\n 00000\n 9537\n 0140\n+ ----\n 00077\n\n\n 00000\n 9537\n 0140\n+ ----\n 00677\n\n\n 00000\n 9537\n 0140\n+ ----\n 09677\n\n", "id": 1065}, {"char_len": 160, "tokens": [14777, 23, 489, 220, 4146, 1432, 220, 931, 605, 198, 220, 220, 14777, 23, 198, 220, 220, 18070, 21, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 4119, 605, 198, 220, 220, 14777, 23, 198, 220, 220, 18070, 21, 198, 10, 11556, 198, 220, 931, 1958, 1432, 220, 4119, 605, 198, 220, 220, 14777, 23, 198, 220, 220, 18070, 21, 198, 10, 11556, 198, 220, 6268, 1958, 1432, 220, 4119, 605, 198, 220, 220, 14777, 23, 198, 220, 220, 18070, 21, 198, 10, 11556, 198, 220, 13103, 1958, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3078 + 256\n\n\n 00010\n 3078\n 0256\n+ ----\n 00004\n\n\n 00110\n 3078\n 0256\n+ ----\n 00034\n\n\n 00110\n 3078\n 0256\n+ ----\n 00334\n\n\n 00110\n 3078\n 0256\n+ ----\n 03334\n\n", "id": 1066}, {"char_len": 378, "tokens": [22058, 24734, 15, 489, 220, 914, 1432, 220, 931, 931, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 931, 931, 2304, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 931, 931, 868, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 931, 8504, 868, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 931, 26478, 868, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 931, 10680, 868, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 8759, 10680, 868, 1432, 220, 931, 4119, 410, 198, 220, 220, 22058, 24734, 15, 198, 220, 220, 931, 6726, 20, 198, 10, 39707, 220, 25230, 10680, 868, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "5416490 + 25\n\n\n 00000000\n 5416490\n 0000025\n+ -------\n 00000005\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 00000015\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 00000515\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 00006515\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 00016515\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 00416515\n\n\n 00000100\n 5416490\n 0000025\n+ -------\n 05416515\n\n", "id": 1067}, {"char_len": 222, "tokens": [605, 489, 220, 21851, 777, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 21851, 777, 198, 10, 81049, 220, 931, 13858, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 21851, 777, 198, 10, 81049, 220, 931, 23273, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 21851, 777, 198, 10, 81049, 220, 931, 25344, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 21851, 777, 198, 10, 81049, 220, 4119, 25344, 1432, 220, 931, 931, 198, 220, 220, 931, 605, 198, 220, 220, 21851, 777, 198, 10, 81049, 220, 23545, 25344, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 51919\n\n\n 000000\n 00010\n 51919\n+ -----\n 000009\n\n\n 000000\n 00010\n 51919\n+ -----\n 000029\n\n\n 000000\n 00010\n 51919\n+ -----\n 000929\n\n\n 000000\n 00010\n 51919\n+ -----\n 001929\n\n\n 000000\n 00010\n 51919\n+ -----\n 051929\n\n", "id": 1068}, {"char_len": 160, "tokens": [14125, 15, 489, 220, 19038, 1432, 220, 931, 410, 198, 220, 220, 14125, 15, 198, 220, 220, 25210, 22, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 4119, 410, 198, 220, 220, 14125, 15, 198, 220, 220, 25210, 22, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 10731, 410, 198, 220, 220, 14125, 15, 198, 220, 220, 25210, 22, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 10731, 410, 198, 220, 220, 14125, 15, 198, 220, 220, 25210, 22, 198, 10, 11556, 198, 220, 14649, 2589, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2470 + 537\n\n\n 00000\n 2470\n 0537\n+ ----\n 00007\n\n\n 00100\n 2470\n 0537\n+ ----\n 00007\n\n\n 01100\n 2470\n 0537\n+ ----\n 00007\n\n\n 01100\n 2470\n 0537\n+ ----\n 03007\n\n", "id": 1069}, {"char_len": 160, "tokens": [18196, 489, 220, 21239, 17, 1432, 220, 931, 605, 198, 220, 220, 21040, 24, 198, 220, 220, 21239, 17, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 931, 605, 198, 220, 220, 21040, 24, 198, 220, 220, 21239, 17, 198, 10, 11556, 198, 220, 931, 6028, 1432, 220, 931, 605, 198, 220, 220, 21040, 24, 198, 220, 220, 21239, 17, 198, 10, 11556, 198, 220, 11194, 6028, 1432, 220, 931, 605, 198, 220, 220, 21040, 24, 198, 220, 220, 21239, 17, 198, 10, 11556, 198, 220, 26866, 6028, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "329 + 5442\n\n\n 00010\n 0329\n 5442\n+ ----\n 00001\n\n\n 00010\n 0329\n 5442\n+ ----\n 00071\n\n\n 00010\n 0329\n 5442\n+ ----\n 00771\n\n\n 00010\n 0329\n 5442\n+ ----\n 05771\n\n", "id": 1070}, {"char_len": 160, "tokens": [14487, 489, 220, 17313, 19, 1432, 220, 931, 410, 198, 220, 220, 20945, 15, 198, 220, 220, 17313, 19, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 931, 410, 198, 220, 220, 20945, 15, 198, 220, 220, 17313, 19, 198, 10, 11556, 198, 220, 931, 2096, 1432, 220, 7755, 410, 198, 220, 220, 20945, 15, 198, 220, 220, 17313, 19, 198, 10, 11556, 198, 220, 6268, 2096, 1432, 220, 7755, 410, 198, 220, 220, 20945, 15, 198, 220, 220, 17313, 19, 198, 10, 11556, 198, 220, 13103, 2096, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "410 + 2934\n\n\n 00000\n 0410\n 2934\n+ ----\n 00004\n\n\n 00000\n 0410\n 2934\n+ ----\n 00044\n\n\n 01000\n 0410\n 2934\n+ ----\n 00344\n\n\n 01000\n 0410\n 2934\n+ ----\n 03344\n\n", "id": 1071}, {"char_len": 106, "tokens": [16780, 489, 220, 2790, 1432, 220, 4119, 15, 198, 220, 220, 16780, 198, 220, 220, 24222, 198, 10, 55023, 220, 931, 16, 1432, 220, 10731, 15, 198, 220, 220, 16780, 198, 220, 220, 24222, 198, 10, 55023, 220, 8759, 16, 1432, 220, 10731, 15, 198, 220, 220, 16780, 198, 220, 220, 24222, 198, 10, 55023, 220, 22379, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "295 + 46\n\n\n 0010\n 295\n 046\n+ ---\n 0001\n\n\n 0110\n 295\n 046\n+ ---\n 0041\n\n\n 0110\n 295\n 046\n+ ---\n 0341\n\n", "id": 1072}, {"char_len": 687, "tokens": [7461, 8011, 13719, 23, 489, 220, 1806, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 931, 2304, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 931, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 8759, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 19592, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 18517, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 4119, 18517, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 10731, 18517, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 20973, 18517, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 20973, 18517, 5313, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 7461, 8011, 13719, 23, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 7755, 20973, 18517, 5313, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1061142448 + 37\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000000005\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000000085\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000000485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000002485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000042485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00000142485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00001142485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00061142485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 00061142485\n\n\n 00000000010\n 1061142448\n 0000000037\n+ ----------\n 01061142485\n\n", "id": 1073}, {"char_len": 222, "tokens": [4331, 489, 220, 24902, 2437, 1432, 220, 931, 931, 198, 220, 220, 931, 4331, 198, 220, 220, 24902, 2437, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 931, 198, 220, 220, 931, 4331, 198, 220, 220, 24902, 2437, 198, 10, 81049, 220, 931, 22913, 1432, 220, 931, 931, 198, 220, 220, 931, 4331, 198, 220, 220, 24902, 2437, 198, 10, 81049, 220, 931, 17306, 1432, 220, 931, 931, 198, 220, 220, 931, 4331, 198, 220, 220, 24902, 2437, 198, 10, 81049, 220, 11436, 17306, 1432, 220, 931, 931, 198, 220, 220, 931, 4331, 198, 220, 220, 24902, 2437, 198, 10, 81049, 220, 25620, 17306, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "53 + 88302\n\n\n 000000\n 00053\n 88302\n+ -----\n 000005\n\n\n 000000\n 00053\n 88302\n+ -----\n 000055\n\n\n 000000\n 00053\n 88302\n+ -----\n 000355\n\n\n 000000\n 00053\n 88302\n+ -----\n 008355\n\n\n 000000\n 00053\n 88302\n+ -----\n 088355\n\n", "id": 1074}, {"char_len": 296, "tokens": [17711, 21860, 489, 220, 11056, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 931, 931, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 931, 8504, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 931, 22679, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 931, 22679, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 11194, 22679, 22, 1432, 220, 931, 931, 15, 198, 220, 220, 17711, 21860, 198, 220, 220, 931, 11056, 198, 10, 11556, 7233, 220, 24970, 22679, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "470551 + 206\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0000007\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0000057\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0000757\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0000757\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0070757\n\n\n 0000000\n 470551\n 000206\n+ ------\n 0470757\n\n", "id": 1075}, {"char_len": 3070, "tokens": [8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 489, 220, 17267, 21385, 1432, 220, 931, 931, 931, 931, 931, 931, 931, 931, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 931, 931, 931, 931, 931, 11194, 1432, 220, 931, 931, 931, 931, 931, 931, 931, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 931, 931, 931, 931, 931, 11194, 1432, 220, 931, 931, 931, 931, 931, 931, 931, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 931, 931, 931, 931, 931, 23178, 1432, 220, 931, 931, 931, 931, 931, 931, 931, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 931, 931, 931, 931, 13858, 23178, 1432, 220, 931, 931, 931, 931, 931, 931, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 931, 931, 931, 931, 18089, 23178, 1432, 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14730, 36308, 220, 931, 931, 26720, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 931, 20339, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 11194, 20339, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 27311, 20339, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 931, 27311, 20339, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 6726, 27311, 20339, 21032, 21729, 11057, 9079, 23178, 1432, 220, 931, 931, 931, 931, 931, 4119, 1041, 1041, 198, 220, 220, 8610, 25822, 24951, 25921, 13384, 14185, 10841, 6083, 198, 220, 220, 931, 931, 931, 931, 931, 6726, 24832, 868, 198, 10, 14730, 36308, 220, 18642, 27311, 20339, 21032, 21729, 11057, 9079, 23178, 271], "tokenizer": "cl100k_base", "tokens_len": 1048, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "22087484805631224840192 + 279615\n\n\n 000000000000000000000000\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000000007\n\n\n 000000000000000000000100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000000007\n\n\n 000000000000000000000100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000000807\n\n\n 000000000000000000000100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000009807\n\n\n 000000000000000000100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000019807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000000119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000005119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000025119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000000225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000001225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000031225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000000631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000005631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000005631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000000805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000004805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000084805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000000484805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000007484805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000087484805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 000087484805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 002087484805631225119807\n\n\n 000000000000000001100100\n 22087484805631224840192\n 00000000000000000279615\n+ -----------------------\n 022087484805631225119807\n\n", "id": 1076}, {"char_len": 378, "tokens": [15231, 22385, 23, 489, 220, 868, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 931, 931, 2839, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 931, 931, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 931, 6726, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 931, 19222, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 931, 18509, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 4119, 18509, 6069, 1432, 220, 931, 931, 605, 198, 220, 220, 15231, 22385, 23, 198, 220, 220, 931, 4119, 20, 198, 10, 39707, 220, 18887, 18509, 6069, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3136268 + 15\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00000003\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00000083\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00000283\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00006283\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00036283\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 00136283\n\n\n 00000010\n 3136268\n 0000015\n+ -------\n 03136283\n\n", "id": 1077}, {"char_len": 159, "tokens": [605, 489, 220, 26244, 20, 1432, 220, 931, 410, 198, 220, 220, 4119, 15, 198, 220, 220, 26244, 20, 198, 10, 11556, 198, 220, 931, 2304, 1432, 220, 931, 410, 198, 220, 220, 4119, 15, 198, 220, 220, 26244, 20, 198, 10, 11556, 198, 220, 931, 5313, 1432, 220, 931, 410, 198, 220, 220, 4119, 15, 198, 220, 220, 26244, 20, 198, 10, 11556, 198, 220, 6268, 5313, 1432, 220, 931, 410, 198, 220, 220, 4119, 15, 198, 220, 220, 26244, 20, 198, 10, 11556, 198, 220, 25077, 5313, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 8375\n\n\n 00000\n 0010\n 8375\n+ ----\n 00005\n\n\n 00000\n 0010\n 8375\n+ ----\n 00085\n\n\n 00000\n 0010\n 8375\n+ ----\n 00385\n\n\n 00000\n 0010\n 8375\n+ ----\n 08385\n\n", "id": 1078}, {"char_len": 106, "tokens": [1313, 489, 220, 18136, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 18136, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 18136, 198, 10, 55023, 220, 6268, 22, 1432, 220, 931, 15, 198, 220, 220, 18642, 198, 220, 220, 18136, 198, 10, 55023, 220, 17776, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "22 + 415\n\n\n 0000\n 022\n 415\n+ ---\n 0007\n\n\n 0000\n 022\n 415\n+ ---\n 0037\n\n\n 0000\n 022\n 415\n+ ---\n 0437\n\n", "id": 1079}, {"char_len": 577, "tokens": [19230, 2166, 489, 220, 9565, 26007, 22663, 1432, 220, 931, 931, 4119, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 931, 931, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 931, 931, 16, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 931, 18807, 16, 1432, 220, 931, 4119, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 931, 13754, 16, 1432, 220, 931, 10731, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 4119, 13754, 16, 1432, 220, 931, 5037, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 4119, 13754, 16, 1432, 220, 931, 5037, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 931, 14408, 13754, 16, 1432, 220, 931, 5037, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 6268, 14408, 13754, 16, 1432, 220, 931, 5037, 10731, 15, 198, 220, 220, 931, 24462, 19746, 198, 220, 220, 9565, 26007, 22663, 198, 10, 220, 29547, 220, 16368, 14408, 13754, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 251, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "38348 + 134974553\n\n\n 0000000010\n 000038348\n 134974553\n+ ---------\n 0000000001\n\n\n 0000000110\n 000038348\n 134974553\n+ ---------\n 0000000001\n\n\n 0000000110\n 000038348\n 134974553\n+ ---------\n 0000000901\n\n\n 0000010110\n 000038348\n 134974553\n+ ---------\n 0000002901\n\n\n 0000110110\n 000038348\n 134974553\n+ ---------\n 0000012901\n\n\n 0001110110\n 000038348\n 134974553\n+ ---------\n 0000012901\n\n\n 0001110110\n 000038348\n 134974553\n+ ---------\n 0005012901\n\n\n 0001110110\n 000038348\n 134974553\n+ ---------\n 0035012901\n\n\n 0001110110\n 000038348\n 134974553\n+ ---------\n 0135012901\n\n", "id": 1080}, {"char_len": 379, "tokens": [17470, 19697, 22, 489, 220, 6849, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 931, 931, 1721, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 931, 931, 5547, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 931, 8504, 5547, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 931, 23785, 5547, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 931, 22926, 5547, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 6726, 22926, 5547, 1432, 220, 931, 931, 605, 198, 220, 220, 17470, 19697, 22, 198, 220, 220, 931, 7755, 19, 198, 10, 39707, 220, 21040, 22926, 5547, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3264457 + 104\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00000001\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00000061\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00000561\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00004561\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00064561\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 00264561\n\n\n 00000010\n 3264457\n 0000104\n+ -------\n 03264561\n\n", "id": 1081}, {"char_len": 159, "tokens": [1774, 489, 220, 21032, 19, 1432, 220, 931, 410, 198, 220, 220, 8759, 20, 198, 220, 220, 21032, 19, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 931, 410, 198, 220, 220, 8759, 20, 198, 220, 220, 21032, 19, 198, 10, 11556, 198, 220, 931, 1484, 1432, 220, 931, 410, 198, 220, 220, 8759, 20, 198, 220, 220, 21032, 19, 198, 10, 11556, 198, 220, 931, 1484, 1432, 220, 931, 410, 198, 220, 220, 8759, 20, 198, 220, 220, 21032, 19, 198, 10, 11556, 198, 220, 13837, 1484, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "45 + 8054\n\n\n 00000\n 0045\n 8054\n+ ----\n 00009\n\n\n 00000\n 0045\n 8054\n+ ----\n 00099\n\n\n 00000\n 0045\n 8054\n+ ----\n 00099\n\n\n 00000\n 0045\n 8054\n+ ----\n 08099\n\n", "id": 1082}, {"char_len": 106, "tokens": [605, 489, 220, 9591, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 9591, 198, 10, 55023, 220, 931, 20, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 9591, 198, 10, 55023, 220, 8504, 20, 1432, 220, 931, 15, 198, 220, 220, 7755, 198, 220, 220, 9591, 198, 10, 55023, 220, 16037, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10 + 145\n\n\n 0000\n 010\n 145\n+ ---\n 0005\n\n\n 0000\n 010\n 145\n+ ---\n 0055\n\n\n 0000\n 010\n 145\n+ ---\n 0155\n\n", "id": 1083}, {"char_len": 687, "tokens": [9079, 25498, 14087, 22, 489, 220, 1806, 1432, 220, 931, 931, 931, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 931, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 931, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 8759, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 19592, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 931, 18517, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 4119, 18517, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 22534, 18517, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 931, 25643, 18517, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 4119, 25643, 18517, 2371, 1432, 220, 931, 931, 4119, 605, 198, 220, 220, 9079, 25498, 14087, 22, 198, 220, 220, 931, 931, 6268, 22, 198, 10, 31423, 220, 10731, 25643, 18517, 2371, 271], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1198142367 + 37\n\n\n 00000000010\n 1198142367\n 0000000037\n+ ----------\n 00000000004\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00000000004\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00000000404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00000002404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00000042404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00000142404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00008142404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00098142404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 00198142404\n\n\n 00000000110\n 1198142367\n 0000000037\n+ ----------\n 01198142404\n\n", "id": 1084}, {"char_len": 222, "tokens": [19140, 2813, 489, 220, 1032, 1432, 220, 931, 7755, 198, 220, 220, 19140, 2813, 198, 220, 220, 931, 1032, 198, 10, 81049, 220, 931, 931, 1432, 220, 931, 7755, 198, 220, 220, 19140, 2813, 198, 220, 220, 931, 1032, 198, 10, 81049, 220, 931, 18807, 1432, 220, 931, 7755, 198, 220, 220, 19140, 2813, 198, 220, 220, 931, 1032, 198, 10, 81049, 220, 931, 21381, 1432, 220, 931, 7755, 198, 220, 220, 19140, 2813, 198, 220, 220, 931, 1032, 198, 10, 81049, 220, 6726, 21381, 1432, 220, 931, 7755, 198, 220, 220, 19140, 2813, 198, 220, 220, 931, 1032, 198, 10, 81049, 220, 22349, 21381, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "42877 + 13\n\n\n 000010\n 42877\n 00013\n+ -----\n 000000\n\n\n 000010\n 42877\n 00013\n+ -----\n 000090\n\n\n 000010\n 42877\n 00013\n+ -----\n 000890\n\n\n 000010\n 42877\n 00013\n+ -----\n 002890\n\n\n 000010\n 42877\n 00013\n+ -----\n 042890\n\n", "id": 1085}, {"char_len": 106, "tokens": [8273, 489, 220, 975, 1432, 220, 931, 15, 198, 220, 220, 8273, 198, 220, 220, 15901, 198, 10, 55023, 220, 931, 19, 1432, 220, 931, 15, 198, 220, 220, 8273, 198, 220, 220, 15901, 198, 10, 55023, 220, 8504, 19, 1432, 220, 931, 15, 198, 220, 220, 8273, 198, 220, 220, 15901, 198, 10, 55023, 220, 18070, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "240 + 14\n\n\n 0000\n 240\n 014\n+ ---\n 0004\n\n\n 0000\n 240\n 014\n+ ---\n 0054\n\n\n 0000\n 240\n 014\n+ ---\n 0254\n\n", "id": 1086}, {"char_len": 159, "tokens": [1313, 489, 220, 14261, 16, 1432, 220, 931, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 14261, 16, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 14261, 16, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 14261, 16, 198, 10, 11556, 198, 220, 6268, 2839, 1432, 220, 4119, 410, 198, 220, 220, 6726, 17, 198, 220, 220, 14261, 16, 198, 10, 11556, 198, 220, 20063, 2839, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "22 + 2281\n\n\n 00000\n 0022\n 2281\n+ ----\n 00003\n\n\n 00100\n 0022\n 2281\n+ ----\n 00003\n\n\n 00100\n 0022\n 2281\n+ ----\n 00303\n\n\n 00100\n 0022\n 2281\n+ ----\n 02303\n\n", "id": 1087}, {"char_len": 107, "tokens": [21177, 489, 220, 12463, 1432, 220, 4119, 15, 198, 220, 220, 21177, 198, 220, 220, 12463, 198, 10, 55023, 220, 931, 15, 1432, 220, 4119, 15, 198, 220, 220, 21177, 198, 220, 220, 12463, 198, 10, 55023, 220, 8759, 15, 1432, 220, 4119, 15, 198, 220, 220, 21177, 198, 220, 220, 12463, 198, 10, 55023, 220, 26739, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "524 + 216\n\n\n 0010\n 524\n 216\n+ ---\n 0000\n\n\n 0010\n 524\n 216\n+ ---\n 0040\n\n\n 0010\n 524\n 216\n+ ---\n 0740\n\n", "id": 1088}, {"char_len": 223, "tokens": [14378, 489, 220, 9892, 4218, 1432, 220, 931, 7755, 198, 220, 220, 6726, 1682, 198, 220, 220, 9892, 4218, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 5120, 198, 220, 220, 6726, 1682, 198, 220, 220, 9892, 4218, 198, 10, 81049, 220, 931, 16037, 1432, 220, 931, 5120, 198, 220, 220, 6726, 1682, 198, 220, 220, 9892, 4218, 198, 10, 81049, 220, 931, 21385, 1432, 220, 931, 5120, 198, 220, 220, 6726, 1682, 198, 220, 220, 9892, 4218, 198, 10, 81049, 220, 11030, 21385, 1432, 220, 931, 5120, 198, 220, 220, 6726, 1682, 198, 220, 220, 9892, 4218, 198, 10, 81049, 220, 15794, 21385, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "229 + 16386\n\n\n 000010\n 00229\n 16386\n+ -----\n 000005\n\n\n 000110\n 00229\n 16386\n+ -----\n 000015\n\n\n 000110\n 00229\n 16386\n+ -----\n 000615\n\n\n 000110\n 00229\n 16386\n+ -----\n 006615\n\n\n 000110\n 00229\n 16386\n+ -----\n 016615\n\n", "id": 1089}, {"char_len": 106, "tokens": [9741, 489, 220, 717, 1432, 220, 931, 15, 198, 220, 220, 9741, 198, 220, 220, 11531, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 9741, 198, 220, 220, 11531, 198, 10, 55023, 220, 13858, 22, 1432, 220, 931, 15, 198, 220, 220, 9741, 198, 220, 220, 11531, 198, 10, 55023, 220, 18089, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "185 + 12\n\n\n 0000\n 185\n 012\n+ ---\n 0007\n\n\n 0000\n 185\n 012\n+ ---\n 0097\n\n\n 0000\n 185\n 012\n+ ---\n 0197\n\n", "id": 1090}, {"char_len": 160, "tokens": [8899, 15, 489, 220, 25717, 1432, 220, 931, 410, 198, 220, 220, 8899, 15, 198, 220, 220, 25202, 16, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 4119, 410, 198, 220, 220, 8899, 15, 198, 220, 220, 25202, 16, 198, 10, 11556, 198, 220, 931, 806, 1432, 220, 10731, 410, 198, 220, 220, 8899, 15, 198, 220, 220, 25202, 16, 198, 10, 11556, 198, 220, 4119, 806, 1432, 220, 10731, 410, 198, 220, 220, 8899, 15, 198, 220, 220, 25202, 16, 198, 10, 11556, 198, 220, 11592, 806, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1180 + 931\n\n\n 00000\n 1180\n 0931\n+ ----\n 00001\n\n\n 00100\n 1180\n 0931\n+ ----\n 00011\n\n\n 01100\n 1180\n 0931\n+ ----\n 00111\n\n\n 01100\n 1180\n 0931\n+ ----\n 02111\n\n", "id": 1091}, {"char_len": 295, "tokens": [1987, 489, 220, 11483, 3192, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 931, 931, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 931, 13858, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 931, 23273, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 931, 9748, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 4119, 9748, 18, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24462, 198, 220, 220, 11483, 3192, 198, 10, 11556, 7233, 220, 11592, 9748, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "38 + 211255\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0000003\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0000093\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0000293\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0001293\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0011293\n\n\n 0000010\n 000038\n 211255\n+ ------\n 0211293\n\n", "id": 1092}, {"char_len": 160, "tokens": [18634, 489, 220, 15935, 16, 1432, 220, 931, 605, 198, 220, 220, 22379, 24, 198, 220, 220, 15935, 16, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 4119, 605, 198, 220, 220, 22379, 24, 198, 220, 220, 15935, 16, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 10731, 605, 198, 220, 220, 22379, 24, 198, 220, 220, 15935, 16, 198, 10, 11556, 198, 220, 6726, 410, 1432, 220, 10731, 605, 198, 220, 220, 22379, 24, 198, 220, 220, 15935, 16, 198, 10, 11556, 198, 220, 21040, 410, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "349 + 2851\n\n\n 00010\n 0349\n 2851\n+ ----\n 00000\n\n\n 00110\n 0349\n 2851\n+ ----\n 00000\n\n\n 01110\n 0349\n 2851\n+ ----\n 00200\n\n\n 01110\n 0349\n 2851\n+ ----\n 03200\n\n", "id": 1093}, {"char_len": 295, "tokens": [25136, 10148, 489, 220, 975, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 931, 16, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 8504, 16, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 16037, 16, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 931, 22387, 16, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 11194, 22387, 16, 1432, 220, 931, 4119, 15, 198, 220, 220, 25136, 10148, 198, 220, 220, 931, 15901, 198, 10, 11556, 7233, 220, 27309, 22387, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "679137 + 14\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0000001\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0000051\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0000151\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0009151\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0079151\n\n\n 0000010\n 679137\n 000014\n+ ------\n 0679151\n\n", "id": 1094}, {"char_len": 378, "tokens": [24531, 12112, 21, 489, 220, 6028, 1432, 220, 931, 931, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 931, 931, 2589, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 931, 931, 1544, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 931, 6726, 1544, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 931, 18642, 1544, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 931, 15805, 1544, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 13858, 15805, 1544, 1432, 220, 931, 4119, 410, 198, 220, 220, 24531, 12112, 21, 198, 220, 220, 931, 11194, 16, 198, 10, 39707, 220, 27407, 15805, 1544, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "7932156 + 71\n\n\n 00000000\n 7932156\n 0000071\n+ -------\n 00000007\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 00000027\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 00000227\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 00002227\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 00032227\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 00932227\n\n\n 00000100\n 7932156\n 0000071\n+ -------\n 07932227\n\n", "id": 1095}, {"char_len": 472, "tokens": [9079, 489, 220, 17335, 8610, 6086, 1432, 220, 931, 931, 7755, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 931, 4119, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 931, 4119, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 931, 679, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 6726, 679, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 18642, 679, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 931, 8259, 679, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 13858, 8259, 679, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 4119, 777, 198, 220, 220, 17335, 8610, 6086, 198, 10, 90238, 220, 23273, 8259, 679, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "119 + 29122082\n\n\n 000000010\n 00000119\n 29122082\n+ --------\n 000000001\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 000000001\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 000000201\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 000002201\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 000022201\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 000122201\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 009122201\n\n\n 000000110\n 00000119\n 29122082\n+ --------\n 029122201\n\n", "id": 1096}, {"char_len": 296, "tokens": [10290, 489, 220, 13719, 22488, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 931, 931, 19, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 931, 11030, 19, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 931, 26247, 19, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 931, 22191, 19, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 8759, 22191, 19, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 10290, 198, 220, 220, 13719, 22488, 198, 10, 11556, 7233, 220, 19592, 22191, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "143 + 244621\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0000004\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0000064\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0000764\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0004764\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0044764\n\n\n 0000000\n 000143\n 244621\n+ ------\n 0244764\n\n", "id": 1097}, {"char_len": 378, "tokens": [6550, 22467, 17, 489, 220, 1544, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 931, 2545, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 931, 3076, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 6268, 3076, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 25210, 3076, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 22663, 3076, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 931, 22663, 3076, 1432, 220, 931, 931, 410, 198, 220, 220, 6550, 22467, 17, 198, 220, 220, 931, 6726, 22, 198, 10, 39707, 220, 7755, 22663, 3076, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1055342 + 27\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00000009\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00000069\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00000369\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00005369\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00055369\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 00055369\n\n\n 00000000\n 1055342\n 0000027\n+ -------\n 01055369\n\n", "id": 1098}, {"char_len": 379, "tokens": [22101, 4278, 17, 489, 220, 11584, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 931, 931, 2705, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 931, 931, 1927, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 931, 6726, 1927, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 931, 11531, 1927, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 931, 8358, 1927, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 13858, 8358, 1927, 1432, 220, 931, 931, 410, 198, 220, 220, 22101, 4278, 17, 198, 220, 220, 931, 11592, 19, 198, 10, 39707, 220, 26513, 8358, 1927, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "9951022 + 214\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00000006\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00000036\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00000236\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00001236\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00051236\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 00951236\n\n\n 00000000\n 9951022\n 0000214\n+ -------\n 09951236\n\n", "id": 1099}, {"char_len": 106, "tokens": [1419, 489, 220, 10132, 1432, 220, 931, 15, 198, 220, 220, 20063, 198, 220, 220, 10132, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 20063, 198, 220, 220, 10132, 198, 10, 55023, 220, 11194, 24, 1432, 220, 931, 15, 198, 220, 220, 20063, 198, 220, 220, 10132, 198, 10, 55023, 220, 17248, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "23 + 156\n\n\n 0000\n 023\n 156\n+ ---\n 0009\n\n\n 0000\n 023\n 156\n+ ---\n 0079\n\n\n 0000\n 023\n 156\n+ ---\n 0179\n\n", "id": 1100}, {"char_len": 379, "tokens": [9800, 21112, 18, 489, 220, 9741, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 931, 931, 2318, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 931, 931, 2421, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 931, 8504, 2421, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 931, 22679, 2421, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 931, 12935, 2421, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 8504, 12935, 2421, 1432, 220, 931, 931, 410, 198, 220, 220, 9800, 21112, 18, 198, 220, 220, 931, 16745, 20, 198, 10, 39707, 220, 16037, 12935, 2421, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1537403 + 185\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00000008\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00000088\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00000588\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00007588\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00037588\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 00537588\n\n\n 00000000\n 1537403\n 0000185\n+ -------\n 01537588\n\n", "id": 1101}, {"char_len": 223, "tokens": [25125, 489, 220, 23670, 2705, 1432, 220, 931, 7755, 198, 220, 220, 11436, 2618, 198, 220, 220, 23670, 2705, 198, 10, 81049, 220, 931, 6268, 1432, 220, 931, 7755, 198, 220, 220, 11436, 2618, 198, 220, 220, 23670, 2705, 198, 10, 81049, 220, 931, 25210, 1432, 220, 4119, 7755, 198, 220, 220, 11436, 2618, 198, 220, 220, 23670, 2705, 198, 10, 81049, 220, 931, 25210, 1432, 220, 4119, 7755, 198, 220, 220, 11436, 2618, 198, 220, 220, 23670, 2705, 198, 10, 81049, 220, 13858, 25210, 1432, 220, 4119, 7755, 198, 220, 220, 11436, 2618, 198, 220, 220, 23670, 2705, 198, 10, 81049, 220, 27033, 25210, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "847 + 58206\n\n\n 000010\n 00847\n 58206\n+ -----\n 000003\n\n\n 000010\n 00847\n 58206\n+ -----\n 000053\n\n\n 001010\n 00847\n 58206\n+ -----\n 000053\n\n\n 001010\n 00847\n 58206\n+ -----\n 009053\n\n\n 001010\n 00847\n 58206\n+ -----\n 059053\n\n", "id": 1102}, {"char_len": 810, "tokens": [24472, 15340, 25504, 1591, 489, 220, 845, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 8759, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 20078, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 8504, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 22679, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 931, 21129, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 4119, 21129, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 18887, 21129, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 931, 19852, 21129, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 11194, 19852, 21129, 17451, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 24472, 15340, 25504, 1591, 198, 220, 220, 931, 931, 931, 845, 198, 10, 220, 26999, 220, 23102, 19852, 21129, 17451, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "77431675328 + 16\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000000004\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000000044\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000000344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000005344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000075344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000000675344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000001675344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000031675344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 000431675344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 007431675344\n\n\n 000000000010\n 77431675328\n 00000000016\n+ -----------\n 077431675344\n\n", "id": 1103}, {"char_len": 106, "tokens": [14206, 489, 220, 508, 1432, 220, 931, 15, 198, 220, 220, 14206, 198, 220, 220, 11139, 198, 10, 55023, 220, 931, 22, 1432, 220, 931, 15, 198, 220, 220, 14206, 198, 220, 220, 11139, 198, 10, 55023, 220, 8759, 22, 1432, 220, 931, 15, 198, 220, 220, 14206, 198, 220, 220, 11139, 198, 10, 55023, 220, 19592, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "227 + 20\n\n\n 0000\n 227\n 020\n+ ---\n 0007\n\n\n 0000\n 227\n 020\n+ ---\n 0047\n\n\n 0000\n 227\n 020\n+ ---\n 0247\n\n", "id": 1104}, {"char_len": 107, "tokens": [20213, 489, 220, 12338, 1432, 220, 931, 15, 198, 220, 220, 20213, 198, 220, 220, 12338, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 20213, 198, 220, 220, 12338, 198, 10, 55023, 220, 6268, 23, 1432, 220, 931, 15, 198, 220, 220, 20213, 198, 220, 220, 12338, 198, 10, 55023, 220, 25077, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "606 + 232\n\n\n 0000\n 606\n 232\n+ ---\n 0008\n\n\n 0000\n 606\n 232\n+ ---\n 0038\n\n\n 0000\n 606\n 232\n+ ---\n 0838\n\n", "id": 1105}, {"char_len": 298, "tokens": [13895, 966, 489, 220, 20502, 23901, 1432, 220, 931, 931, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 931, 931, 20, 1432, 220, 931, 931, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 931, 11194, 20, 1432, 220, 931, 1041, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 931, 26866, 20, 1432, 220, 931, 1041, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 931, 23480, 20, 1432, 220, 931, 1041, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 11030, 23480, 20, 1432, 220, 931, 1041, 15, 198, 220, 220, 20063, 21221, 198, 220, 220, 20502, 23901, 198, 10, 11556, 7233, 220, 24222, 23480, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 145, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "23830 + 442745\n\n\n 0000000\n 023830\n 442745\n+ ------\n 0000005\n\n\n 0000000\n 023830\n 442745\n+ ------\n 0000075\n\n\n 0001000\n 023830\n 442745\n+ ------\n 0000575\n\n\n 0001000\n 023830\n 442745\n+ ------\n 0006575\n\n\n 0001000\n 023830\n 442745\n+ ------\n 0066575\n\n\n 0001000\n 023830\n 442745\n+ ------\n 0466575\n\n", "id": 1106}, {"char_len": 225, "tokens": [8190, 2721, 489, 220, 11702, 1313, 1432, 220, 931, 931, 198, 220, 220, 8190, 2721, 198, 220, 220, 11702, 1313, 198, 10, 81049, 220, 931, 11194, 1432, 220, 931, 1041, 198, 220, 220, 8190, 2721, 198, 220, 220, 11702, 1313, 198, 10, 81049, 220, 931, 17248, 1432, 220, 931, 1041, 198, 220, 220, 8190, 2721, 198, 220, 220, 11702, 1313, 198, 10, 81049, 220, 931, 25150, 1432, 220, 931, 1041, 198, 220, 220, 8190, 2721, 198, 220, 220, 11702, 1313, 198, 10, 81049, 220, 6726, 25150, 1432, 220, 931, 1041, 198, 220, 220, 8190, 2721, 198, 220, 220, 11702, 1313, 198, 10, 81049, 220, 21040, 25150, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "11395 + 21322\n\n\n 000000\n 11395\n 21322\n+ -----\n 000007\n\n\n 000100\n 11395\n 21322\n+ -----\n 000017\n\n\n 000100\n 11395\n 21322\n+ -----\n 000717\n\n\n 000100\n 11395\n 21322\n+ -----\n 002717\n\n\n 000100\n 11395\n 21322\n+ -----\n 032717\n\n", "id": 1107}, {"char_len": 471, "tokens": [20866, 15741, 2421, 489, 220, 2946, 1432, 220, 931, 931, 7755, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 931, 11194, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 931, 24970, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 931, 17678, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 11194, 17678, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 21360, 17678, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 931, 23103, 17678, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 8504, 23103, 17678, 1432, 220, 931, 931, 5120, 198, 220, 220, 20866, 15741, 2421, 198, 220, 220, 931, 931, 2946, 198, 10, 90238, 220, 22913, 23103, 17678, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "55627288 + 59\n\n\n 000000010\n 55627288\n 00000059\n+ --------\n 000000007\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 000000047\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 000000347\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 000007347\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 000027347\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 000627347\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 005627347\n\n\n 000000110\n 55627288\n 00000059\n+ --------\n 055627347\n\n", "id": 1108}, {"char_len": 223, "tokens": [4386, 2813, 489, 220, 8011, 1432, 220, 931, 7755, 198, 220, 220, 4386, 2813, 198, 220, 220, 4119, 975, 198, 10, 81049, 220, 931, 4119, 1432, 220, 931, 7755, 198, 220, 220, 4386, 2813, 198, 220, 220, 4119, 975, 198, 10, 81049, 220, 931, 24443, 1432, 220, 931, 7755, 198, 220, 220, 4386, 2813, 198, 220, 220, 4119, 975, 198, 10, 81049, 220, 931, 24606, 1432, 220, 931, 7755, 198, 220, 220, 4386, 2813, 198, 220, 220, 4119, 975, 198, 10, 81049, 220, 6726, 24606, 1432, 220, 931, 7755, 198, 220, 220, 4386, 2813, 198, 220, 220, 4119, 975, 198, 10, 81049, 220, 11531, 24606, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12877 + 114\n\n\n 000010\n 12877\n 00114\n+ -----\n 000001\n\n\n 000010\n 12877\n 00114\n+ -----\n 000091\n\n\n 000010\n 12877\n 00114\n+ -----\n 000991\n\n\n 000010\n 12877\n 00114\n+ -----\n 002991\n\n\n 000010\n 12877\n 00114\n+ -----\n 012991\n\n", "id": 1109}, {"char_len": 295, "tokens": [3076, 489, 220, 7461, 10290, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 931, 931, 17, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 931, 4119, 17, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 931, 11592, 17, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 931, 22488, 17, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 931, 22488, 17, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 27325, 198, 220, 220, 7461, 10290, 198, 10, 11556, 7233, 220, 7755, 22488, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "69 + 106143\n\n\n 0000010\n 000069\n 106143\n+ ------\n 0000002\n\n\n 0000110\n 000069\n 106143\n+ ------\n 0000012\n\n\n 0000110\n 000069\n 106143\n+ ------\n 0000212\n\n\n 0000110\n 000069\n 106143\n+ ------\n 0006212\n\n\n 0000110\n 000069\n 106143\n+ ------\n 0006212\n\n\n 0000110\n 000069\n 106143\n+ ------\n 0106212\n\n", "id": 1110}, {"char_len": 106, "tokens": [10288, 489, 220, 806, 1432, 220, 931, 15, 198, 220, 220, 10288, 198, 220, 220, 10731, 198, 10, 55023, 220, 931, 23, 1432, 220, 931, 15, 198, 220, 220, 10288, 198, 220, 220, 10731, 198, 10, 55023, 220, 8504, 23, 1432, 220, 931, 15, 198, 220, 220, 10288, 198, 220, 220, 10731, 198, 10, 55023, 220, 16037, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "147 + 11\n\n\n 0000\n 147\n 011\n+ ---\n 0008\n\n\n 0000\n 147\n 011\n+ ---\n 0058\n\n\n 0000\n 147\n 011\n+ ---\n 0158\n\n", "id": 1111}, {"char_len": 222, "tokens": [4278, 2421, 489, 220, 1399, 1432, 220, 931, 931, 198, 220, 220, 4278, 2421, 198, 220, 220, 931, 1399, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 4278, 2421, 198, 220, 220, 931, 1399, 198, 10, 81049, 220, 931, 23904, 1432, 220, 931, 1041, 198, 220, 220, 4278, 2421, 198, 220, 220, 931, 1399, 198, 10, 81049, 220, 931, 19746, 1432, 220, 931, 1041, 198, 220, 220, 4278, 2421, 198, 220, 220, 931, 1399, 198, 10, 81049, 220, 931, 19746, 1432, 220, 931, 1041, 198, 220, 220, 4278, 2421, 198, 220, 220, 931, 1399, 198, 10, 81049, 220, 7755, 19746, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "10288 + 60\n\n\n 000000\n 10288\n 00060\n+ -----\n 000008\n\n\n 000100\n 10288\n 00060\n+ -----\n 000048\n\n\n 000100\n 10288\n 00060\n+ -----\n 000348\n\n\n 000100\n 10288\n 00060\n+ -----\n 000348\n\n\n 000100\n 10288\n 00060\n+ -----\n 010348\n\n", "id": 1112}, {"char_len": 63, "tokens": [1544, 489, 220, 3174, 1432, 220, 931, 198, 220, 220, 1544, 198, 220, 220, 3174, 198, 10, 40614, 220, 11436, 1432, 220, 931, 198, 220, 220, 1544, 198, 220, 220, 3174, 198, 10, 40614, 220, 26661, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "27 + 41\n\n\n 000\n 27\n 41\n+ --\n 008\n\n\n 000\n 27\n 41\n+ --\n 068\n\n", "id": 1113}, {"char_len": 107, "tokens": [9591, 489, 220, 15500, 1432, 220, 4119, 15, 198, 220, 220, 9591, 198, 220, 220, 15500, 198, 10, 55023, 220, 931, 19, 1432, 220, 4119, 15, 198, 220, 220, 9591, 198, 220, 220, 15500, 198, 10, 55023, 220, 8504, 19, 1432, 220, 4119, 15, 198, 220, 220, 9591, 198, 220, 220, 15500, 198, 10, 55023, 220, 23785, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "145 + 309\n\n\n 0010\n 145\n 309\n+ ---\n 0004\n\n\n 0010\n 145\n 309\n+ ---\n 0054\n\n\n 0010\n 145\n 309\n+ ---\n 0454\n\n", "id": 1114}, {"char_len": 224, "tokens": [21235, 17, 489, 220, 18349, 6069, 1432, 220, 931, 931, 198, 220, 220, 23904, 717, 198, 220, 220, 18349, 6069, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 931, 198, 220, 220, 23904, 717, 198, 220, 220, 18349, 6069, 198, 10, 81049, 220, 931, 26421, 1432, 220, 4119, 931, 198, 220, 220, 23904, 717, 198, 220, 220, 18349, 6069, 198, 10, 81049, 220, 931, 21038, 1432, 220, 10731, 931, 198, 220, 220, 23904, 717, 198, 220, 220, 18349, 6069, 198, 10, 81049, 220, 931, 21038, 1432, 220, 10731, 931, 198, 220, 220, 23904, 717, 198, 220, 220, 18349, 6069, 198, 10, 81049, 220, 12505, 21038, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "4812 + 35683\n\n\n 000000\n 04812\n 35683\n+ -----\n 000005\n\n\n 000000\n 04812\n 35683\n+ -----\n 000095\n\n\n 001000\n 04812\n 35683\n+ -----\n 000495\n\n\n 011000\n 04812\n 35683\n+ -----\n 000495\n\n\n 011000\n 04812\n 35683\n+ -----\n 040495\n\n", "id": 1115}, {"char_len": 472, "tokens": [20973, 25136, 1954, 489, 220, 20998, 1432, 220, 931, 931, 931, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 931, 8759, 1432, 220, 931, 931, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 931, 8759, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 931, 18048, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 11436, 18048, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 26661, 18048, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 931, 8953, 18048, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 4119, 8953, 18048, 1432, 220, 931, 4119, 1041, 198, 220, 220, 20973, 25136, 1954, 198, 220, 220, 931, 8504, 975, 198, 10, 90238, 220, 23324, 8953, 18048, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "61167990 + 514\n\n\n 000000000\n 61167990\n 00000514\n+ --------\n 000000004\n\n\n 000000100\n 61167990\n 00000514\n+ --------\n 000000004\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 000000504\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 000008504\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 000068504\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 000168504\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 001168504\n\n\n 000001100\n 61167990\n 00000514\n+ --------\n 061168504\n\n", "id": 1116}, {"char_len": 574, "tokens": [26026, 2550, 18695, 489, 220, 605, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 931, 931, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 931, 13858, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 931, 21602, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 931, 26164, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 13858, 26164, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 18089, 26164, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 931, 23388, 26164, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 6726, 23388, 26164, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 26026, 2550, 18695, 198, 220, 220, 931, 931, 7755, 198, 10, 220, 29547, 220, 25221, 23388, 26164, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "926199385 + 10\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000000005\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000000095\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000000395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000009395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000099395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0000199395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0006199395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0026199395\n\n\n 0000000000\n 926199385\n 000000010\n+ ---------\n 0926199395\n\n", "id": 1117}, {"char_len": 159, "tokens": [18017, 22, 489, 220, 5538, 1432, 220, 931, 410, 198, 220, 220, 18017, 22, 198, 220, 220, 11030, 17, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 931, 410, 198, 220, 220, 18017, 22, 198, 220, 220, 11030, 17, 198, 10, 11556, 198, 220, 931, 1484, 1432, 220, 931, 410, 198, 220, 220, 18017, 22, 198, 220, 220, 11030, 17, 198, 10, 11556, 198, 220, 11194, 1484, 1432, 220, 931, 410, 198, 220, 220, 18017, 22, 198, 220, 220, 11030, 17, 198, 10, 11556, 198, 220, 23587, 1484, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3737 + 62\n\n\n 00000\n 3737\n 0062\n+ ----\n 00009\n\n\n 00000\n 3737\n 0062\n+ ----\n 00099\n\n\n 00000\n 3737\n 0062\n+ ----\n 00799\n\n\n 00000\n 3737\n 0062\n+ ----\n 03799\n\n", "id": 1118}, {"char_len": 223, "tokens": [24574, 489, 220, 17408, 2614, 1432, 220, 931, 7755, 198, 220, 220, 8504, 3534, 198, 220, 220, 17408, 2614, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 5120, 198, 220, 220, 8504, 3534, 198, 220, 220, 17408, 2614, 198, 10, 81049, 220, 931, 26478, 1432, 220, 4119, 5120, 198, 220, 220, 8504, 3534, 198, 220, 220, 17408, 2614, 198, 10, 81049, 220, 931, 14374, 1432, 220, 10731, 5120, 198, 220, 220, 8504, 3534, 198, 220, 220, 17408, 2614, 198, 10, 81049, 220, 931, 14374, 1432, 220, 10731, 5120, 198, 220, 220, 8504, 3534, 198, 220, 220, 17408, 2614, 198, 10, 81049, 220, 14649, 14374, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "597 + 29668\n\n\n 000010\n 00597\n 29668\n+ -----\n 000005\n\n\n 000110\n 00597\n 29668\n+ -----\n 000065\n\n\n 001110\n 00597\n 29668\n+ -----\n 000265\n\n\n 011110\n 00597\n 29668\n+ -----\n 000265\n\n\n 011110\n 00597\n 29668\n+ -----\n 030265\n\n", "id": 1119}, {"char_len": 160, "tokens": [18252, 489, 220, 12533, 18, 1432, 220, 931, 410, 198, 220, 220, 21602, 18, 198, 220, 220, 12533, 18, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 4119, 410, 198, 220, 220, 21602, 18, 198, 220, 220, 12533, 18, 198, 10, 11556, 198, 220, 931, 1627, 1432, 220, 4119, 410, 198, 220, 220, 21602, 18, 198, 220, 220, 12533, 18, 198, 10, 11556, 198, 220, 11030, 1627, 1432, 220, 4119, 410, 198, 220, 220, 21602, 18, 198, 220, 220, 12533, 18, 198, 10, 11556, 198, 220, 21641, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "393 + 2233\n\n\n 00000\n 0393\n 2233\n+ ----\n 00006\n\n\n 00100\n 0393\n 2233\n+ ----\n 00026\n\n\n 00100\n 0393\n 2233\n+ ----\n 00626\n\n\n 00100\n 0393\n 2233\n+ ----\n 02626\n\n", "id": 1120}, {"char_len": 63, "tokens": [2813, 489, 220, 2131, 1432, 220, 7755, 198, 220, 220, 2813, 198, 220, 220, 2131, 198, 10, 40614, 220, 6726, 1432, 220, 5120, 198, 220, 220, 2813, 198, 220, 220, 2131, 198, 10, 40614, 220, 21040, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "77 + 55\n\n\n 010\n 77\n 55\n+ --\n 002\n\n\n 110\n 77\n 55\n+ --\n 032\n\n", "id": 1121}, {"char_len": 159, "tokens": [7261, 18, 489, 220, 2137, 1432, 220, 931, 605, 198, 220, 220, 7261, 18, 198, 220, 220, 6268, 24, 198, 10, 11556, 198, 220, 931, 2437, 1432, 220, 931, 605, 198, 220, 220, 7261, 18, 198, 220, 220, 6268, 24, 198, 10, 11556, 198, 220, 931, 5538, 1432, 220, 931, 605, 198, 220, 220, 7261, 18, 198, 220, 220, 6268, 24, 198, 10, 11556, 198, 220, 4119, 5538, 1432, 220, 931, 605, 198, 220, 220, 7261, 18, 198, 220, 220, 6268, 24, 198, 10, 11556, 198, 220, 10731, 5538, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1123 + 39\n\n\n 00010\n 1123\n 0039\n+ ----\n 00002\n\n\n 00010\n 1123\n 0039\n+ ----\n 00062\n\n\n 00010\n 1123\n 0039\n+ ----\n 00162\n\n\n 00010\n 1123\n 0039\n+ ----\n 01162\n\n", "id": 1122}, {"char_len": 63, "tokens": [1987, 489, 220, 1032, 1432, 220, 7755, 198, 220, 220, 1987, 198, 220, 220, 1032, 198, 10, 40614, 220, 4119, 1432, 220, 7755, 198, 220, 220, 1987, 198, 220, 220, 1032, 198, 10, 40614, 220, 23545, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "38 + 13\n\n\n 010\n 38\n 13\n+ --\n 001\n\n\n 010\n 38\n 13\n+ --\n 051\n\n", "id": 1123}, {"char_len": 296, "tokens": [24574, 489, 220, 16481, 20698, 1432, 220, 931, 4119, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 931, 931, 19, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 931, 13858, 19, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 931, 26513, 19, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 931, 23459, 19, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 11436, 23459, 19, 1432, 220, 931, 10731, 15, 198, 220, 220, 931, 24574, 198, 220, 220, 16481, 20698, 198, 10, 11556, 7233, 220, 24462, 23459, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "597 + 386397\n\n\n 0000010\n 000597\n 386397\n+ ------\n 0000004\n\n\n 0000110\n 000597\n 386397\n+ ------\n 0000094\n\n\n 0000110\n 000597\n 386397\n+ ------\n 0000994\n\n\n 0000110\n 000597\n 386397\n+ ------\n 0006994\n\n\n 0000110\n 000597\n 386397\n+ ------\n 0086994\n\n\n 0000110\n 000597\n 386397\n+ ------\n 0386994\n\n", "id": 1124}, {"char_len": 295, "tokens": [966, 489, 220, 24742, 20617, 1432, 220, 931, 931, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 931, 931, 16, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 931, 931, 16, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 931, 16193, 16, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 931, 8652, 16, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 11436, 8652, 16, 1432, 220, 931, 7755, 15, 198, 220, 220, 931, 14649, 198, 220, 220, 24742, 20617, 198, 10, 11556, 7233, 220, 26983, 8652, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "30 + 983471\n\n\n 0000000\n 000030\n 983471\n+ ------\n 0000001\n\n\n 0000100\n 000030\n 983471\n+ ------\n 0000001\n\n\n 0000100\n 000030\n 983471\n+ ------\n 0000501\n\n\n 0000100\n 000030\n 983471\n+ ------\n 0003501\n\n\n 0000100\n 000030\n 983471\n+ ------\n 0083501\n\n\n 0000100\n 000030\n 983471\n+ ------\n 0983501\n\n", "id": 1125}, {"char_len": 106, "tokens": [3226, 489, 220, 14417, 1432, 220, 4119, 15, 198, 220, 220, 26866, 198, 220, 220, 14417, 198, 10, 55023, 220, 931, 17, 1432, 220, 10731, 15, 198, 220, 220, 26866, 198, 220, 220, 14417, 198, 10, 55023, 220, 6268, 17, 1432, 220, 10731, 15, 198, 220, 220, 26866, 198, 220, 220, 14417, 198, 10, 55023, 220, 13103, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "57 + 275\n\n\n 0010\n 057\n 275\n+ ---\n 0002\n\n\n 0110\n 057\n 275\n+ ---\n 0032\n\n\n 0110\n 057\n 275\n+ ---\n 0332\n\n", "id": 1126}, {"char_len": 159, "tokens": [1041, 19, 489, 220, 2131, 1432, 220, 931, 410, 198, 220, 220, 1041, 19, 198, 220, 220, 8504, 20, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 931, 410, 198, 220, 220, 1041, 19, 198, 220, 220, 8504, 20, 198, 10, 11556, 198, 220, 931, 2946, 1432, 220, 931, 410, 198, 220, 220, 1041, 19, 198, 220, 220, 8504, 20, 198, 10, 11556, 198, 220, 931, 2946, 1432, 220, 931, 410, 198, 220, 220, 1041, 19, 198, 220, 220, 8504, 20, 198, 10, 11556, 198, 220, 7755, 2946, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1004 + 55\n\n\n 00000\n 1004\n 0055\n+ ----\n 00009\n\n\n 00000\n 1004\n 0055\n+ ----\n 00059\n\n\n 00000\n 1004\n 0055\n+ ----\n 00059\n\n\n 00000\n 1004\n 0055\n+ ----\n 01059\n\n", "id": 1127}, {"char_len": 379, "tokens": [15726, 24531, 21, 489, 220, 3192, 1432, 220, 931, 931, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 931, 931, 1721, 1432, 220, 931, 931, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 931, 931, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 931, 4119, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 931, 22534, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 931, 19162, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 6726, 19162, 5925, 1432, 220, 931, 7755, 605, 198, 220, 220, 15726, 24531, 21, 198, 220, 220, 931, 18070, 20, 198, 10, 39707, 220, 21040, 19162, 5925, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3237936 + 255\n\n\n 00000010\n 3237936\n 0000255\n+ -------\n 00000001\n\n\n 00000010\n 3237936\n 0000255\n+ -------\n 00000091\n\n\n 00001010\n 3237936\n 0000255\n+ -------\n 00000191\n\n\n 00001010\n 3237936\n 0000255\n+ -------\n 00008191\n\n\n 00001010\n 3237936\n 0000255\n+ -------\n 00038191\n\n\n 00001010\n 3237936\n 0000255\n+ -------\n 00238191\n\n\n 00001010\n 3237936\n 0000255\n+ -------\n 03238191\n\n", "id": 1128}, {"char_len": 159, "tokens": [21897, 16, 489, 220, 1272, 1432, 220, 931, 410, 198, 220, 220, 21897, 16, 198, 220, 220, 8759, 15, 198, 10, 11556, 198, 220, 931, 1721, 1432, 220, 4119, 410, 198, 220, 220, 21897, 16, 198, 220, 220, 8759, 15, 198, 10, 11556, 198, 220, 931, 806, 1432, 220, 4119, 410, 198, 220, 220, 21897, 16, 198, 220, 220, 8759, 15, 198, 10, 11556, 198, 220, 13858, 806, 1432, 220, 4119, 410, 198, 220, 220, 21897, 16, 198, 220, 220, 8759, 15, 198, 10, 11556, 198, 220, 27325, 806, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "6871 + 40\n\n\n 00000\n 6871\n 0040\n+ ----\n 00001\n\n\n 00100\n 6871\n 0040\n+ ----\n 00011\n\n\n 00100\n 6871\n 0040\n+ ----\n 00911\n\n\n 00100\n 6871\n 0040\n+ ----\n 06911\n\n", "id": 1129}, {"char_len": 63, "tokens": [843, 489, 220, 2096, 1432, 220, 931, 198, 220, 220, 843, 198, 220, 220, 2096, 198, 10, 40614, 220, 11030, 1432, 220, 931, 198, 220, 220, 843, 198, 220, 220, 2096, 198, 10, 40614, 220, 26247, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "32 + 44\n\n\n 000\n 32\n 44\n+ --\n 006\n\n\n 000\n 32\n 44\n+ --\n 076\n\n", "id": 1130}, {"char_len": 159, "tokens": [26218, 21, 489, 220, 845, 1432, 220, 931, 605, 198, 220, 220, 26218, 21, 198, 220, 220, 4119, 21, 198, 10, 11556, 198, 220, 931, 2437, 1432, 220, 4119, 605, 198, 220, 220, 26218, 21, 198, 220, 220, 4119, 21, 198, 10, 11556, 198, 220, 931, 717, 1432, 220, 4119, 605, 198, 220, 220, 26218, 21, 198, 220, 220, 4119, 21, 198, 10, 11556, 198, 220, 6268, 717, 1432, 220, 4119, 605, 198, 220, 220, 26218, 21, 198, 220, 220, 4119, 21, 198, 10, 11556, 198, 220, 25077, 717, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "8296 + 16\n\n\n 00010\n 8296\n 0016\n+ ----\n 00002\n\n\n 00110\n 8296\n 0016\n+ ----\n 00012\n\n\n 00110\n 8296\n 0016\n+ ----\n 00312\n\n\n 00110\n 8296\n 0016\n+ ----\n 08312\n\n", "id": 1131}, {"char_len": 159, "tokens": [12533, 15, 489, 220, 508, 1432, 220, 931, 410, 198, 220, 220, 12533, 15, 198, 220, 220, 6726, 15, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 931, 410, 198, 220, 220, 12533, 15, 198, 220, 220, 6726, 15, 198, 10, 11556, 198, 220, 931, 1135, 1432, 220, 931, 410, 198, 220, 220, 12533, 15, 198, 220, 220, 6726, 15, 198, 10, 11556, 198, 220, 6726, 1135, 1432, 220, 931, 410, 198, 220, 220, 12533, 15, 198, 220, 220, 6726, 15, 198, 10, 11556, 198, 220, 18642, 1135, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2230 + 20\n\n\n 00000\n 2230\n 0020\n+ ----\n 00000\n\n\n 00000\n 2230\n 0020\n+ ----\n 00050\n\n\n 00000\n 2230\n 0020\n+ ----\n 00250\n\n\n 00000\n 2230\n 0020\n+ ----\n 02250\n\n", "id": 1132}, {"char_len": 63, "tokens": [6281, 489, 220, 806, 1432, 220, 931, 198, 220, 220, 6281, 198, 220, 220, 806, 198, 10, 40614, 220, 8504, 1432, 220, 1041, 198, 220, 220, 6281, 198, 220, 220, 806, 198, 10, 40614, 220, 8504, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "94 + 11\n\n\n 000\n 94\n 11\n+ --\n 005\n\n\n 100\n 94\n 11\n+ --\n 005\n\n", "id": 1133}, {"char_len": 63, "tokens": [1187, 489, 220, 4103, 1432, 220, 931, 198, 220, 220, 1187, 198, 220, 220, 4103, 198, 10, 40614, 220, 11030, 1432, 220, 931, 198, 220, 220, 1187, 198, 220, 220, 4103, 198, 10, 40614, 220, 26247, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "24 + 52\n\n\n 000\n 24\n 52\n+ --\n 006\n\n\n 000\n 24\n 52\n+ --\n 076\n\n", "id": 1134}, {"char_len": 576, "tokens": [9639, 17264, 15189, 489, 220, 4513, 15, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 931, 931, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 931, 8759, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 931, 25230, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 931, 23952, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 931, 23952, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 12505, 23952, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 13679, 23952, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 931, 13679, 23952, 20, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 9639, 17264, 15189, 198, 220, 220, 931, 4119, 9870, 198, 10, 220, 29547, 220, 11139, 13679, 23952, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 251, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "203406315 + 1230\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000000005\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000000045\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000000545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000007545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000007545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0000407545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0003407545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0003407545\n\n\n 0000000000\n 203406315\n 000001230\n+ ---------\n 0203407545\n\n", "id": 1135}, {"char_len": 296, "tokens": [25612, 9800, 489, 220, 25150, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 931, 931, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 931, 11194, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 931, 27311, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 931, 21897, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 6268, 21897, 15, 1432, 220, 931, 4119, 15, 198, 220, 220, 25612, 9800, 198, 220, 220, 931, 25150, 198, 10, 11556, 7233, 220, 25202, 21897, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "936153 + 717\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0000000\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0000070\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0000870\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0006870\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0036870\n\n\n 0000010\n 936153\n 000717\n+ ------\n 0936870\n\n", "id": 1136}, {"char_len": 107, "tokens": [6330, 489, 220, 19391, 1432, 220, 931, 15, 198, 220, 220, 6330, 198, 220, 220, 19391, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 6330, 198, 220, 220, 19391, 198, 10, 55023, 220, 11194, 24, 1432, 220, 931, 15, 198, 220, 220, 6330, 198, 220, 220, 19391, 198, 10, 55023, 220, 26866, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "160 + 419\n\n\n 0000\n 160\n 419\n+ ---\n 0009\n\n\n 0000\n 160\n 419\n+ ---\n 0079\n\n\n 0000\n 160\n 419\n+ ---\n 0579\n\n", "id": 1137}, {"char_len": 63, "tokens": [806, 489, 220, 2614, 1432, 220, 931, 198, 220, 220, 806, 198, 220, 220, 2614, 198, 10, 40614, 220, 13858, 1432, 220, 931, 198, 220, 220, 806, 198, 220, 220, 2614, 198, 10, 40614, 220, 27407, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "11 + 68\n\n\n 000\n 11\n 68\n+ --\n 009\n\n\n 000\n 11\n 68\n+ --\n 079\n\n", "id": 1138}, {"char_len": 223, "tokens": [15257, 489, 220, 23805, 1135, 1432, 220, 931, 931, 198, 220, 220, 6268, 914, 198, 220, 220, 23805, 1135, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 931, 198, 220, 220, 6268, 914, 198, 220, 220, 23805, 1135, 198, 10, 81049, 220, 931, 22679, 1432, 220, 4119, 931, 198, 220, 220, 6268, 914, 198, 220, 220, 23805, 1135, 198, 10, 81049, 220, 931, 10005, 1432, 220, 4119, 931, 198, 220, 220, 6268, 914, 198, 220, 220, 23805, 1135, 198, 10, 81049, 220, 11030, 10005, 1432, 220, 4119, 931, 198, 220, 220, 6268, 914, 198, 220, 220, 23805, 1135, 198, 10, 81049, 220, 26956, 10005, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "325 + 85850\n\n\n 000000\n 00325\n 85850\n+ -----\n 000005\n\n\n 000000\n 00325\n 85850\n+ -----\n 000075\n\n\n 001000\n 00325\n 85850\n+ -----\n 000175\n\n\n 001000\n 00325\n 85850\n+ -----\n 006175\n\n\n 001000\n 00325\n 85850\n+ -----\n 086175\n\n", "id": 1139}, {"char_len": 222, "tokens": [1644, 489, 220, 16217, 1806, 1432, 220, 931, 7755, 198, 220, 220, 931, 1644, 198, 220, 220, 16217, 1806, 198, 10, 81049, 220, 931, 931, 1432, 220, 931, 7755, 198, 220, 220, 931, 1644, 198, 220, 220, 16217, 1806, 198, 10, 81049, 220, 931, 17819, 1432, 220, 931, 7755, 198, 220, 220, 931, 1644, 198, 220, 220, 16217, 1806, 198, 10, 81049, 220, 931, 17819, 1432, 220, 931, 7755, 198, 220, 220, 931, 1644, 198, 220, 220, 16217, 1806, 198, 10, 81049, 220, 8504, 17819, 1432, 220, 931, 7755, 198, 220, 220, 931, 1644, 198, 220, 220, 16217, 1806, 198, 10, 81049, 220, 24646, 17819, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "33 + 85037\n\n\n 000010\n 00033\n 85037\n+ -----\n 000000\n\n\n 000010\n 00033\n 85037\n+ -----\n 000070\n\n\n 000010\n 00033\n 85037\n+ -----\n 000070\n\n\n 000010\n 00033\n 85037\n+ -----\n 005070\n\n\n 000010\n 00033\n 85037\n+ -----\n 085070\n\n", "id": 1140}, {"char_len": 159, "tokens": [4468, 23, 489, 220, 5925, 1432, 220, 931, 410, 198, 220, 220, 4468, 23, 198, 220, 220, 13858, 16, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 4119, 410, 198, 220, 220, 4468, 23, 198, 220, 220, 13858, 16, 198, 10, 11556, 198, 220, 931, 3076, 1432, 220, 10731, 410, 198, 220, 220, 4468, 23, 198, 220, 220, 13858, 16, 198, 10, 11556, 198, 220, 931, 3076, 1432, 220, 10731, 410, 198, 220, 220, 4468, 23, 198, 220, 220, 13858, 16, 198, 10, 11556, 198, 220, 11139, 3076, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1978 + 91\n\n\n 00000\n 1978\n 0091\n+ ----\n 00009\n\n\n 00100\n 1978\n 0091\n+ ----\n 00069\n\n\n 01100\n 1978\n 0091\n+ ----\n 00069\n\n\n 01100\n 1978\n 0091\n+ ----\n 02069\n\n", "id": 1141}, {"char_len": 107, "tokens": [24606, 489, 220, 22345, 1432, 220, 931, 15, 198, 220, 220, 24606, 198, 220, 220, 22345, 198, 10, 55023, 220, 931, 22, 1432, 220, 7755, 15, 198, 220, 220, 24606, 198, 220, 220, 22345, 198, 10, 55023, 220, 11194, 22, 1432, 220, 5120, 15, 198, 220, 220, 24606, 198, 220, 220, 22345, 198, 10, 55023, 220, 26866, 22, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "991 + 586\n\n\n 0000\n 991\n 586\n+ ---\n 0007\n\n\n 0100\n 991\n 586\n+ ---\n 0077\n\n\n 1100\n 991\n 586\n+ ---\n 0577\n\n", "id": 1142}, {"char_len": 810, "tokens": [777, 489, 220, 2550, 25747, 25612, 806, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 931, 931, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 931, 14649, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 931, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 6268, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 25202, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 931, 18252, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 11194, 18252, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 27311, 18252, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 931, 22207, 18252, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 13858, 22207, 18252, 18660, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 931, 931, 931, 777, 198, 220, 220, 2550, 25747, 25612, 806, 198, 10, 220, 26999, 220, 18089, 22207, 18252, 18660, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "19 + 19987393611\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000000000\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000000030\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000000630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000003630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000093630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000000393630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000007393630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000087393630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 000987393630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 009987393630\n\n\n 000000000010\n 00000000019\n 19987393611\n+ -----------\n 019987393630\n\n", "id": 1143}, {"char_len": 106, "tokens": [9741, 489, 220, 3971, 1432, 220, 931, 15, 198, 220, 220, 9741, 198, 220, 220, 23545, 198, 10, 55023, 220, 931, 21, 1432, 220, 7755, 15, 198, 220, 220, 9741, 198, 220, 220, 23545, 198, 10, 55023, 220, 6268, 21, 1432, 220, 7755, 15, 198, 220, 220, 9741, 198, 220, 220, 23545, 198, 10, 55023, 220, 20063, 21, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "185 + 51\n\n\n 0000\n 185\n 051\n+ ---\n 0006\n\n\n 0100\n 185\n 051\n+ ---\n 0036\n\n\n 0100\n 185\n 051\n+ ---\n 0236\n\n", "id": 1144}, {"char_len": 107, "tokens": [16567, 489, 220, 3753, 1432, 220, 4119, 15, 198, 220, 220, 16567, 198, 220, 220, 3753, 198, 10, 55023, 220, 931, 20, 1432, 220, 10731, 15, 198, 220, 220, 16567, 198, 220, 220, 3753, 198, 10, 55023, 220, 11030, 20, 1432, 220, 10731, 15, 198, 220, 220, 16567, 198, 220, 220, 3753, 198, 10, 55023, 220, 24222, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "267 + 198\n\n\n 0010\n 267\n 198\n+ ---\n 0005\n\n\n 0110\n 267\n 198\n+ ---\n 0065\n\n\n 0110\n 267\n 198\n+ ---\n 0465\n\n", "id": 1145}, {"char_len": 161, "tokens": [12463, 19, 489, 220, 17609, 20, 1432, 220, 931, 410, 198, 220, 220, 12463, 19, 198, 220, 220, 17609, 20, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 4119, 410, 198, 220, 220, 12463, 19, 198, 220, 220, 17609, 20, 198, 10, 11556, 198, 220, 931, 2137, 1432, 220, 4119, 410, 198, 220, 220, 12463, 19, 198, 220, 220, 17609, 20, 198, 10, 11556, 198, 220, 8504, 2137, 1432, 220, 4119, 410, 198, 220, 220, 12463, 19, 198, 220, 220, 17609, 20, 198, 10, 11556, 198, 220, 22913, 2137, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2164 + 3375\n\n\n 00000\n 2164\n 3375\n+ ----\n 00009\n\n\n 00100\n 2164\n 3375\n+ ----\n 00039\n\n\n 00100\n 2164\n 3375\n+ ----\n 00539\n\n\n 00100\n 2164\n 3375\n+ ----\n 05539\n\n", "id": 1146}, {"char_len": 106, "tokens": [5162, 489, 220, 1927, 1432, 220, 4119, 15, 198, 220, 220, 5162, 198, 220, 220, 23110, 198, 10, 55023, 220, 931, 17, 1432, 220, 10731, 15, 198, 220, 220, 5162, 198, 220, 220, 23110, 198, 10, 55023, 220, 6268, 17, 1432, 220, 10731, 15, 198, 220, 220, 5162, 198, 220, 220, 23110, 198, 10, 55023, 220, 20063, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "196 + 36\n\n\n 0010\n 196\n 036\n+ ---\n 0002\n\n\n 0110\n 196\n 036\n+ ---\n 0032\n\n\n 0110\n 196\n 036\n+ ---\n 0232\n\n", "id": 1147}, {"char_len": 222, "tokens": [1682, 489, 220, 5037, 777, 1432, 220, 931, 7755, 198, 220, 220, 931, 1682, 198, 220, 220, 5037, 777, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 7755, 198, 220, 220, 931, 1682, 198, 220, 220, 5037, 777, 198, 10, 81049, 220, 931, 23904, 1432, 220, 931, 7755, 198, 220, 220, 931, 1682, 198, 220, 220, 5037, 777, 198, 10, 81049, 220, 931, 10410, 1432, 220, 931, 7755, 198, 220, 220, 931, 1682, 198, 220, 220, 5037, 777, 198, 10, 81049, 220, 4119, 10410, 1432, 220, 931, 7755, 198, 220, 220, 931, 1682, 198, 220, 220, 5037, 777, 198, 10, 81049, 220, 10731, 10410, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "29 + 11119\n\n\n 000010\n 00029\n 11119\n+ -----\n 000008\n\n\n 000010\n 00029\n 11119\n+ -----\n 000048\n\n\n 000010\n 00029\n 11119\n+ -----\n 000148\n\n\n 000010\n 00029\n 11119\n+ -----\n 001148\n\n\n 000010\n 00029\n 11119\n+ -----\n 011148\n\n", "id": 1148}, {"char_len": 106, "tokens": [508, 489, 220, 21729, 1432, 220, 931, 15, 198, 220, 220, 11139, 198, 220, 220, 21729, 198, 10, 55023, 220, 931, 16, 1432, 220, 931, 15, 198, 220, 220, 11139, 198, 220, 220, 21729, 198, 10, 55023, 220, 8504, 16, 1432, 220, 931, 15, 198, 220, 220, 11139, 198, 220, 220, 21729, 198, 10, 55023, 220, 26478, 16, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "20 + 631\n\n\n 0000\n 020\n 631\n+ ---\n 0001\n\n\n 0000\n 020\n 631\n+ ---\n 0051\n\n\n 0000\n 020\n 631\n+ ---\n 0651\n\n", "id": 1149}, {"char_len": 224, "tokens": [9335, 18, 489, 220, 11247, 6083, 1432, 220, 931, 931, 198, 220, 220, 15901, 1032, 198, 220, 220, 11247, 6083, 198, 10, 81049, 220, 931, 8504, 1432, 220, 931, 1041, 198, 220, 220, 15901, 1032, 198, 220, 220, 11247, 6083, 198, 10, 81049, 220, 931, 8504, 1432, 220, 4119, 1041, 198, 220, 220, 15901, 1032, 198, 220, 220, 11247, 6083, 198, 10, 81049, 220, 931, 6550, 1432, 220, 4119, 1041, 198, 220, 220, 15901, 1032, 198, 220, 220, 11247, 6083, 198, 10, 81049, 220, 11436, 6550, 1432, 220, 4119, 1041, 198, 220, 220, 15901, 1032, 198, 220, 220, 11247, 6083, 198, 10, 81049, 220, 16745, 6550, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1413 + 16692\n\n\n 000000\n 01413\n 16692\n+ -----\n 000005\n\n\n 000100\n 01413\n 16692\n+ -----\n 000005\n\n\n 001100\n 01413\n 16692\n+ -----\n 000105\n\n\n 001100\n 01413\n 16692\n+ -----\n 008105\n\n\n 001100\n 01413\n 16692\n+ -----\n 018105\n\n", "id": 1150}, {"char_len": 472, "tokens": [21381, 489, 220, 14423, 18501, 4370, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 931, 8759, 1432, 220, 931, 931, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 931, 20078, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 931, 21975, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 4119, 21975, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 20945, 21975, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 931, 9335, 21975, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 6726, 9335, 21975, 1432, 220, 931, 4119, 1041, 198, 220, 220, 931, 11436, 1954, 198, 220, 220, 14423, 18501, 4370, 198, 10, 90238, 220, 21040, 9335, 21975, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "890 + 32140754\n\n\n 000000000\n 00000890\n 32140754\n+ --------\n 000000004\n\n\n 000000100\n 00000890\n 32140754\n+ --------\n 000000044\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 000000644\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 000001644\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 000041644\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 000141644\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 002141644\n\n\n 000001100\n 00000890\n 32140754\n+ --------\n 032141644\n\n", "id": 1151}, {"char_len": 159, "tokens": [1114, 489, 220, 20823, 17, 1432, 220, 931, 410, 198, 220, 220, 4119, 22, 198, 220, 220, 20823, 17, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 931, 410, 198, 220, 220, 4119, 22, 198, 220, 220, 20823, 17, 198, 10, 11556, 198, 220, 931, 1682, 1432, 220, 931, 410, 198, 220, 220, 4119, 22, 198, 220, 220, 20823, 17, 198, 10, 11556, 198, 220, 6268, 1682, 1432, 220, 931, 410, 198, 220, 220, 4119, 22, 198, 220, 220, 20823, 17, 198, 10, 11556, 198, 220, 25210, 1682, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "17 + 5312\n\n\n 00000\n 0017\n 5312\n+ ----\n 00009\n\n\n 00000\n 0017\n 5312\n+ ----\n 00029\n\n\n 00000\n 0017\n 5312\n+ ----\n 00329\n\n\n 00000\n 0017\n 5312\n+ ----\n 05329\n\n", "id": 1152}, {"char_len": 106, "tokens": [1032, 489, 220, 1041, 1432, 220, 931, 15, 198, 220, 220, 16368, 198, 220, 220, 1041, 198, 10, 55023, 220, 931, 18, 1432, 220, 931, 15, 198, 220, 220, 16368, 198, 220, 220, 1041, 198, 10, 55023, 220, 4119, 18, 1432, 220, 931, 15, 198, 220, 220, 16368, 198, 220, 220, 1041, 198, 10, 55023, 220, 10731, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "13 + 100\n\n\n 0000\n 013\n 100\n+ ---\n 0003\n\n\n 0000\n 013\n 100\n+ ---\n 0013\n\n\n 0000\n 013\n 100\n+ ---\n 0113\n\n", "id": 1153}, {"char_len": 106, "tokens": [23816, 489, 220, 5547, 1432, 220, 931, 15, 198, 220, 220, 23816, 198, 220, 220, 23324, 198, 10, 55023, 220, 931, 20, 1432, 220, 7755, 15, 198, 220, 220, 23816, 198, 220, 220, 23324, 198, 10, 55023, 220, 8759, 20, 1432, 220, 7755, 15, 198, 220, 220, 23816, 198, 220, 220, 23324, 198, 10, 55023, 220, 20478, 20, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "584 + 61\n\n\n 0000\n 584\n 061\n+ ---\n 0005\n\n\n 0100\n 584\n 061\n+ ---\n 0045\n\n\n 0100\n 584\n 061\n+ ---\n 0645\n\n", "id": 1154}, {"char_len": 160, "tokens": [3753, 489, 220, 11286, 23, 1432, 220, 931, 605, 198, 220, 220, 18089, 23, 198, 220, 220, 11286, 23, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 4119, 605, 198, 220, 220, 18089, 23, 198, 220, 220, 11286, 23, 198, 10, 11556, 198, 220, 931, 4218, 1432, 220, 4119, 605, 198, 220, 220, 18089, 23, 198, 220, 220, 11286, 23, 198, 10, 11556, 198, 220, 11194, 4218, 1432, 220, 4119, 605, 198, 220, 220, 18089, 23, 198, 220, 220, 11286, 23, 198, 10, 11556, 198, 220, 17248, 4218, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "198 + 1588\n\n\n 00010\n 0198\n 1588\n+ ----\n 00006\n\n\n 00110\n 0198\n 1588\n+ ----\n 00086\n\n\n 00110\n 0198\n 1588\n+ ----\n 00786\n\n\n 00110\n 0198\n 1588\n+ ----\n 01786\n\n", "id": 1155}, {"char_len": 222, "tokens": [25498, 4331, 489, 220, 2813, 1432, 220, 931, 7755, 198, 220, 220, 25498, 4331, 198, 220, 220, 931, 2813, 198, 10, 81049, 220, 931, 931, 1432, 220, 931, 5120, 198, 220, 220, 25498, 4331, 198, 220, 220, 931, 2813, 198, 10, 81049, 220, 931, 14649, 1432, 220, 931, 5120, 198, 220, 220, 25498, 4331, 198, 220, 220, 931, 2813, 198, 10, 81049, 220, 931, 17252, 1432, 220, 931, 5120, 198, 220, 220, 25498, 4331, 198, 220, 220, 931, 2813, 198, 10, 81049, 220, 4119, 17252, 1432, 220, 931, 5120, 198, 220, 220, 25498, 4331, 198, 220, 220, 931, 2813, 198, 10, 81049, 220, 22534, 17252, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "81453 + 77\n\n\n 000010\n 81453\n 00077\n+ -----\n 000000\n\n\n 000110\n 81453\n 00077\n+ -----\n 000030\n\n\n 000110\n 81453\n 00077\n+ -----\n 000530\n\n\n 000110\n 81453\n 00077\n+ -----\n 001530\n\n\n 000110\n 81453\n 00077\n+ -----\n 081530\n\n", "id": 1156}, {"char_len": 161, "tokens": [17361, 24, 489, 220, 7994, 20, 1432, 220, 931, 605, 198, 220, 220, 17361, 24, 198, 220, 220, 7994, 20, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 931, 605, 198, 220, 220, 17361, 24, 198, 220, 220, 7994, 20, 198, 10, 11556, 198, 220, 931, 5833, 1432, 220, 7755, 605, 198, 220, 220, 17361, 24, 198, 220, 220, 7994, 20, 198, 10, 11556, 198, 220, 931, 5833, 1432, 220, 7755, 605, 198, 220, 220, 17361, 24, 198, 220, 220, 7994, 20, 198, 10, 11556, 198, 220, 12505, 5833, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2869 + 1215\n\n\n 00010\n 2869\n 1215\n+ ----\n 00004\n\n\n 00010\n 2869\n 1215\n+ ----\n 00084\n\n\n 01010\n 2869\n 1215\n+ ----\n 00084\n\n\n 01010\n 2869\n 1215\n+ ----\n 04084\n\n", "id": 1157}, {"char_len": 225, "tokens": [26497, 5728, 489, 220, 13895, 5833, 1432, 220, 931, 931, 198, 220, 220, 26497, 5728, 198, 220, 220, 13895, 5833, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 26497, 5728, 198, 220, 220, 13895, 5833, 198, 10, 81049, 220, 931, 24824, 1432, 220, 4119, 1041, 198, 220, 220, 26497, 5728, 198, 220, 220, 13895, 5833, 198, 10, 81049, 220, 931, 23805, 1432, 220, 10731, 1041, 198, 220, 220, 26497, 5728, 198, 220, 220, 13895, 5833, 198, 10, 81049, 220, 931, 23805, 1432, 220, 5037, 1041, 198, 220, 220, 26497, 5728, 198, 220, 220, 13895, 5833, 198, 10, 81049, 220, 7755, 23805, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "86974 + 23884\n\n\n 000000\n 86974\n 23884\n+ -----\n 000008\n\n\n 000100\n 86974\n 23884\n+ -----\n 000058\n\n\n 001100\n 86974\n 23884\n+ -----\n 000858\n\n\n 011100\n 86974\n 23884\n+ -----\n 000858\n\n\n 111100\n 86974\n 23884\n+ -----\n 010858\n\n", "id": 1158}, {"char_len": 160, "tokens": [17786, 16, 489, 220, 19166, 1432, 220, 931, 410, 198, 220, 220, 17786, 16, 198, 220, 220, 23587, 23, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 4119, 410, 198, 220, 220, 17786, 16, 198, 220, 220, 23587, 23, 198, 10, 11556, 198, 220, 931, 1682, 1432, 220, 4119, 410, 198, 220, 220, 17786, 16, 198, 220, 220, 23587, 23, 198, 10, 11556, 198, 220, 8759, 1682, 1432, 220, 4119, 410, 198, 220, 220, 17786, 16, 198, 220, 220, 23587, 23, 198, 10, 11556, 198, 220, 25230, 1682, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "5051 + 378\n\n\n 00000\n 5051\n 0378\n+ ----\n 00009\n\n\n 00100\n 5051\n 0378\n+ ----\n 00029\n\n\n 00100\n 5051\n 0378\n+ ----\n 00429\n\n\n 00100\n 5051\n 0378\n+ ----\n 05429\n\n", "id": 1159}, {"char_len": 159, "tokens": [6860, 21, 489, 220, 1490, 1432, 220, 931, 410, 198, 220, 220, 6860, 21, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 931, 410, 198, 220, 220, 6860, 21, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 931, 4218, 1432, 220, 931, 410, 198, 220, 220, 6860, 21, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 8759, 4218, 1432, 220, 931, 410, 198, 220, 220, 6860, 21, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 15901, 4218, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1406 + 80\n\n\n 00000\n 1406\n 0080\n+ ----\n 00006\n\n\n 00000\n 1406\n 0080\n+ ----\n 00086\n\n\n 00000\n 1406\n 0080\n+ ----\n 00486\n\n\n 00000\n 1406\n 0080\n+ ----\n 01486\n\n", "id": 1160}, {"char_len": 63, "tokens": [508, 489, 220, 1419, 1432, 220, 931, 198, 220, 220, 508, 198, 220, 220, 1419, 198, 10, 40614, 220, 6268, 1432, 220, 931, 198, 220, 220, 508, 198, 220, 220, 1419, 198, 10, 40614, 220, 17776, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "20 + 23\n\n\n 000\n 20\n 23\n+ --\n 003\n\n\n 000\n 20\n 23\n+ --\n 043\n\n", "id": 1161}, {"char_len": 107, "tokens": [11771, 489, 220, 26328, 1432, 220, 4119, 15, 198, 220, 220, 11771, 198, 220, 220, 26328, 198, 10, 55023, 220, 931, 18, 1432, 220, 10731, 15, 198, 220, 220, 11771, 198, 220, 220, 26328, 198, 10, 55023, 220, 6268, 18, 1432, 220, 5037, 15, 198, 220, 220, 11771, 198, 220, 220, 26328, 198, 10, 55023, 220, 16368, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "174 + 959\n\n\n 0010\n 174\n 959\n+ ---\n 0003\n\n\n 0110\n 174\n 959\n+ ---\n 0033\n\n\n 1110\n 174\n 959\n+ ---\n 0133\n\n", "id": 1162}, {"char_len": 471, "tokens": [14815, 23619, 2614, 489, 220, 5833, 1432, 220, 931, 931, 7755, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 931, 6726, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 931, 24130, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 931, 24571, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 8759, 24571, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 26739, 24571, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 931, 26007, 24571, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 6268, 26007, 24571, 1432, 220, 931, 931, 5120, 198, 220, 220, 14815, 23619, 2614, 198, 220, 220, 931, 931, 5833, 198, 10, 90238, 220, 20063, 26007, 24571, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "23974768 + 84\n\n\n 000000010\n 23974768\n 00000084\n+ --------\n 000000002\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 000000052\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 000000852\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 000004852\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 000074852\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 000974852\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 003974852\n\n\n 000000110\n 23974768\n 00000084\n+ --------\n 023974852\n\n", "id": 1163}, {"char_len": 160, "tokens": [9413, 21, 489, 220, 6804, 1432, 220, 931, 605, 198, 220, 220, 9413, 21, 198, 220, 220, 11531, 22, 198, 10, 11556, 198, 220, 931, 2839, 1432, 220, 931, 605, 198, 220, 220, 9413, 21, 198, 220, 220, 11531, 22, 198, 10, 11556, 198, 220, 931, 4331, 1432, 220, 931, 605, 198, 220, 220, 9413, 21, 198, 220, 220, 11531, 22, 198, 10, 11556, 198, 220, 8759, 4331, 1432, 220, 931, 605, 198, 220, 220, 9413, 21, 198, 220, 220, 11531, 22, 198, 10, 11556, 198, 220, 15901, 4331, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1326 + 127\n\n\n 00010\n 1326\n 0127\n+ ----\n 00003\n\n\n 00010\n 1326\n 0127\n+ ----\n 00053\n\n\n 00010\n 1326\n 0127\n+ ----\n 00453\n\n\n 00010\n 1326\n 0127\n+ ----\n 01453\n\n", "id": 1164}, {"char_len": 107, "tokens": [8546, 489, 220, 13384, 1432, 220, 931, 15, 198, 220, 220, 8546, 198, 220, 220, 13384, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 8546, 198, 220, 220, 13384, 198, 10, 55023, 220, 6726, 24, 1432, 220, 931, 15, 198, 220, 220, 8546, 198, 220, 220, 13384, 198, 10, 55023, 220, 22349, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "117 + 312\n\n\n 0000\n 117\n 312\n+ ---\n 0009\n\n\n 0000\n 117\n 312\n+ ---\n 0029\n\n\n 0000\n 117\n 312\n+ ---\n 0429\n\n", "id": 1165}, {"char_len": 160, "tokens": [12463, 19, 489, 220, 7461, 1432, 220, 931, 605, 198, 220, 220, 12463, 19, 198, 220, 220, 7755, 21, 198, 10, 11556, 198, 220, 931, 410, 1432, 220, 931, 605, 198, 220, 220, 12463, 19, 198, 220, 220, 7755, 21, 198, 10, 11556, 198, 220, 931, 2031, 1432, 220, 931, 605, 198, 220, 220, 12463, 19, 198, 220, 220, 7755, 21, 198, 10, 11556, 198, 220, 6726, 2031, 1432, 220, 931, 605, 198, 220, 220, 12463, 19, 198, 220, 220, 7755, 21, 198, 10, 11556, 198, 220, 18642, 2031, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2164 + 106\n\n\n 00010\n 2164\n 0106\n+ ----\n 00000\n\n\n 00010\n 2164\n 0106\n+ ----\n 00070\n\n\n 00010\n 2164\n 0106\n+ ----\n 00270\n\n\n 00010\n 2164\n 0106\n+ ----\n 02270\n\n", "id": 1166}, {"char_len": 379, "tokens": [21358, 8358, 18, 489, 220, 8546, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 931, 931, 410, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 931, 931, 1272, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 931, 6726, 1272, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 931, 24130, 1272, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 931, 21098, 1272, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 11194, 21098, 1272, 1432, 220, 931, 931, 605, 198, 220, 220, 21358, 8358, 18, 198, 220, 220, 931, 10731, 22, 198, 10, 39707, 220, 24970, 21098, 1272, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "4745123 + 117\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00000000\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00000040\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00000240\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00005240\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00045240\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 00745240\n\n\n 00000010\n 4745123\n 0000117\n+ -------\n 04745240\n\n", "id": 1167}, {"char_len": 224, "tokens": [12533, 18, 489, 220, 21860, 972, 1432, 220, 931, 7755, 198, 220, 220, 18642, 1644, 198, 220, 220, 21860, 972, 198, 10, 81049, 220, 931, 4119, 1432, 220, 931, 7755, 198, 220, 220, 18642, 1644, 198, 220, 220, 21860, 972, 198, 10, 81049, 220, 931, 23545, 1432, 220, 931, 7755, 198, 220, 220, 18642, 1644, 198, 220, 220, 21860, 972, 198, 10, 81049, 220, 931, 18113, 1432, 220, 931, 7755, 198, 220, 220, 18642, 1644, 198, 220, 220, 21860, 972, 198, 10, 81049, 220, 11194, 18113, 1432, 220, 931, 7755, 198, 220, 220, 18642, 1644, 198, 220, 220, 21860, 972, 198, 10, 81049, 220, 26866, 18113, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2233 + 55118\n\n\n 000010\n 02233\n 55118\n+ -----\n 000001\n\n\n 000010\n 02233\n 55118\n+ -----\n 000051\n\n\n 000010\n 02233\n 55118\n+ -----\n 000351\n\n\n 000010\n 02233\n 55118\n+ -----\n 007351\n\n\n 000010\n 02233\n 55118\n+ -----\n 057351\n\n", "id": 1168}, {"char_len": 106, "tokens": [2614, 489, 220, 15741, 1432, 220, 4119, 15, 198, 220, 220, 26661, 198, 220, 220, 15741, 198, 10, 55023, 220, 931, 15, 1432, 220, 10731, 15, 198, 220, 220, 26661, 198, 220, 220, 15741, 198, 10, 55023, 220, 8759, 15, 1432, 220, 10731, 15, 198, 220, 220, 26661, 198, 220, 220, 15741, 198, 10, 55023, 220, 22379, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "68 + 272\n\n\n 0010\n 068\n 272\n+ ---\n 0000\n\n\n 0110\n 068\n 272\n+ ---\n 0040\n\n\n 0110\n 068\n 272\n+ ---\n 0340\n\n", "id": 1169}, {"char_len": 574, "tokens": [806, 489, 220, 22874, 25890, 23805, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 931, 931, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 931, 11030, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 931, 26956, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 931, 25399, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 11194, 25399, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 27311, 25399, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 22207, 25399, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 931, 22207, 25399, 24, 1432, 220, 931, 931, 931, 15, 198, 220, 220, 931, 931, 10731, 198, 220, 220, 22874, 25890, 23805, 198, 10, 220, 29547, 220, 17819, 22207, 25399, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "11 + 709878858\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000000009\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000000069\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000000869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000008869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000078869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0000878869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0009878869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0009878869\n\n\n 0000000000\n 000000011\n 709878858\n+ ---------\n 0709878869\n\n", "id": 1170}, {"char_len": 224, "tokens": [22744, 1721, 489, 220, 3753, 18, 1432, 220, 931, 931, 198, 220, 220, 22744, 1721, 198, 220, 220, 18089, 6069, 198, 10, 81049, 220, 931, 8759, 1432, 220, 931, 931, 198, 220, 220, 22744, 1721, 198, 220, 220, 18089, 6069, 198, 10, 81049, 220, 931, 26720, 1432, 220, 4119, 931, 198, 220, 220, 22744, 1721, 198, 220, 220, 18089, 6069, 198, 10, 81049, 220, 931, 20339, 1432, 220, 4119, 931, 198, 220, 220, 22744, 1721, 198, 220, 220, 18089, 6069, 198, 10, 81049, 220, 6268, 20339, 1432, 220, 4119, 931, 198, 220, 220, 22744, 1721, 198, 220, 220, 18089, 6069, 198, 10, 81049, 220, 25779, 20339, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "71501 + 1983\n\n\n 000000\n 71501\n 01983\n+ -----\n 000004\n\n\n 000000\n 71501\n 01983\n+ -----\n 000084\n\n\n 001000\n 71501\n 01983\n+ -----\n 000484\n\n\n 001000\n 71501\n 01983\n+ -----\n 003484\n\n\n 001000\n 71501\n 01983\n+ -----\n 073484\n\n", "id": 1171}, {"char_len": 159, "tokens": [17470, 21, 489, 220, 1691, 1432, 220, 931, 410, 198, 220, 220, 17470, 21, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 931, 2589, 1432, 220, 931, 410, 198, 220, 220, 17470, 21, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 931, 4044, 1432, 220, 931, 410, 198, 220, 220, 17470, 21, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 6726, 4044, 1432, 220, 931, 410, 198, 220, 220, 17470, 21, 198, 220, 220, 6726, 16, 198, 10, 11556, 198, 220, 21040, 4044, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "3266 + 21\n\n\n 00000\n 3266\n 0021\n+ ----\n 00007\n\n\n 00000\n 3266\n 0021\n+ ----\n 00087\n\n\n 00000\n 3266\n 0021\n+ ----\n 00287\n\n\n 00000\n 3266\n 0021\n+ ----\n 03287\n\n", "id": 1172}, {"char_len": 63, "tokens": [5958, 489, 220, 6365, 1432, 220, 931, 198, 220, 220, 5958, 198, 220, 220, 6365, 198, 10, 40614, 220, 11030, 1432, 220, 1041, 198, 220, 220, 5958, 198, 220, 220, 6365, 198, 10, 40614, 220, 23835, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "73 + 93\n\n\n 000\n 73\n 93\n+ --\n 006\n\n\n 100\n 73\n 93\n+ --\n 066\n\n", "id": 1173}, {"char_len": 223, "tokens": [15999, 489, 220, 20304, 2304, 1432, 220, 931, 7755, 198, 220, 220, 6726, 2287, 198, 220, 220, 20304, 2304, 198, 10, 81049, 220, 931, 4119, 1432, 220, 931, 7755, 198, 220, 220, 6726, 2287, 198, 220, 220, 20304, 2304, 198, 10, 81049, 220, 931, 24508, 1432, 220, 4119, 7755, 198, 220, 220, 6726, 2287, 198, 220, 220, 20304, 2304, 198, 10, 81049, 220, 931, 24508, 1432, 220, 4119, 7755, 198, 220, 220, 6726, 2287, 198, 220, 220, 20304, 2304, 198, 10, 81049, 220, 11194, 24508, 1432, 220, 4119, 7755, 198, 220, 220, 6726, 2287, 198, 220, 220, 20304, 2304, 198, 10, 81049, 220, 24970, 24508, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "266 + 46805\n\n\n 000010\n 00266\n 46805\n+ -----\n 000001\n\n\n 000010\n 00266\n 46805\n+ -----\n 000071\n\n\n 001010\n 00266\n 46805\n+ -----\n 000071\n\n\n 001010\n 00266\n 46805\n+ -----\n 007071\n\n\n 001010\n 00266\n 46805\n+ -----\n 047071\n\n", "id": 1174}, {"char_len": 223, "tokens": [6393, 489, 220, 6280, 5728, 1432, 220, 931, 931, 198, 220, 220, 4119, 6281, 198, 220, 220, 6280, 5728, 198, 10, 81049, 220, 931, 11436, 1432, 220, 931, 1041, 198, 220, 220, 4119, 6281, 198, 220, 220, 6280, 5728, 198, 10, 81049, 220, 931, 26661, 1432, 220, 931, 1041, 198, 220, 220, 4119, 6281, 198, 220, 220, 6280, 5728, 198, 10, 81049, 220, 931, 17521, 1432, 220, 931, 1041, 198, 220, 220, 4119, 6281, 198, 220, 220, 6280, 5728, 198, 10, 81049, 220, 13858, 17521, 1432, 220, 931, 1041, 198, 220, 220, 4119, 6281, 198, 220, 220, 6280, 5728, 198, 10, 81049, 220, 18089, 17521, 271], "tokenizer": "cl100k_base", "tokens_len": 106, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "194 + 19574\n\n\n 000000\n 00194\n 19574\n+ -----\n 000008\n\n\n 000100\n 00194\n 19574\n+ -----\n 000068\n\n\n 000100\n 00194\n 19574\n+ -----\n 000768\n\n\n 000100\n 00194\n 19574\n+ -----\n 009768\n\n\n 000100\n 00194\n 19574\n+ -----\n 019768\n\n", "id": 1175}, {"char_len": 472, "tokens": [14498, 23305, 1758, 489, 220, 10866, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 931, 931, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 931, 12505, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 931, 17048, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 931, 17048, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 18807, 17048, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 21381, 17048, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 931, 21381, 17048, 1432, 220, 931, 931, 7755, 198, 220, 220, 14498, 23305, 1758, 198, 220, 220, 931, 6726, 2304, 198, 10, 90238, 220, 14649, 21381, 17048, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "30890335 + 205\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000000000\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000000040\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000000540\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000000540\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000090540\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000890540\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 000890540\n\n\n 000000010\n 30890335\n 00000205\n+ --------\n 030890540\n\n", "id": 1176}, {"char_len": 298, "tokens": [22039, 23267, 489, 220, 11483, 1272, 1432, 220, 931, 931, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 931, 931, 18, 1432, 220, 931, 7755, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 931, 4119, 18, 1432, 220, 931, 7755, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 931, 24443, 18, 1432, 220, 931, 7755, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 931, 24962, 18, 1432, 220, 931, 7755, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 8504, 24962, 18, 1432, 220, 931, 7755, 15, 198, 220, 220, 22039, 23267, 198, 220, 220, 11592, 6860, 198, 10, 11556, 7233, 220, 22679, 24962, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 145, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "737773 + 21140\n\n\n 0000000\n 737773\n 021140\n+ ------\n 0000003\n\n\n 0000100\n 737773\n 021140\n+ ------\n 0000013\n\n\n 0000100\n 737773\n 021140\n+ ------\n 0000913\n\n\n 0000100\n 737773\n 021140\n+ ------\n 0008913\n\n\n 0000100\n 737773\n 021140\n+ ------\n 0058913\n\n\n 0000100\n 737773\n 021140\n+ ------\n 0758913\n\n", "id": 1177}, {"char_len": 378, "tokens": [11056, 15282, 18, 489, 220, 1032, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 931, 2705, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 931, 1627, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 11436, 1627, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 22000, 1627, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 23574, 1627, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 931, 23574, 1627, 1432, 220, 931, 931, 410, 198, 220, 220, 11056, 15282, 18, 198, 220, 220, 931, 4119, 18, 198, 10, 39707, 220, 11139, 23574, 1627, 271], "tokenizer": "cl100k_base", "tokens_len": 175, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2062813 + 13\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00000006\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00000026\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00000826\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00002826\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00062826\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 00062826\n\n\n 00000000\n 2062813\n 0000013\n+ -------\n 02062826\n\n", "id": 1178}, {"char_len": 295, "tokens": [18660, 24850, 489, 220, 508, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 931, 931, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 931, 13858, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 931, 13858, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 931, 13858, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 6268, 13858, 23, 1432, 220, 931, 931, 15, 198, 220, 220, 18660, 24850, 198, 220, 220, 931, 11139, 198, 10, 11556, 7233, 220, 24254, 13858, 23, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "630078 + 20\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0000008\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0000098\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0000098\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0000098\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0030098\n\n\n 0000000\n 630078\n 000020\n+ ------\n 0630098\n\n", "id": 1179}, {"char_len": 159, "tokens": [7461, 22, 489, 220, 806, 1432, 220, 931, 410, 198, 220, 220, 7461, 22, 198, 220, 220, 4119, 16, 198, 10, 11556, 198, 220, 931, 2318, 1432, 220, 931, 410, 198, 220, 220, 7461, 22, 198, 220, 220, 4119, 16, 198, 10, 11556, 198, 220, 931, 2495, 1432, 220, 931, 410, 198, 220, 220, 7461, 22, 198, 220, 220, 4119, 16, 198, 10, 11556, 198, 220, 931, 2495, 1432, 220, 931, 410, 198, 220, 220, 7461, 22, 198, 220, 220, 4119, 16, 198, 10, 11556, 198, 220, 7755, 2495, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1067 + 11\n\n\n 00000\n 1067\n 0011\n+ ----\n 00008\n\n\n 00000\n 1067\n 0011\n+ ----\n 00078\n\n\n 00000\n 1067\n 0011\n+ ----\n 00078\n\n\n 00000\n 1067\n 0011\n+ ----\n 01078\n\n", "id": 1180}, {"char_len": 296, "tokens": [13460, 3443, 489, 220, 7743, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 931, 931, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 931, 931, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 931, 16193, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 931, 11711, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 4119, 11711, 24, 1432, 220, 931, 931, 15, 198, 220, 220, 13460, 3443, 198, 220, 220, 931, 7743, 198, 10, 11556, 7233, 220, 11592, 11711, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 144, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "217400 + 109\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0000009\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0000009\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0000509\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0007509\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0017509\n\n\n 0000000\n 217400\n 000109\n+ ------\n 0217509\n\n", "id": 1181}, {"char_len": 161, "tokens": [9741, 20, 489, 220, 6804, 24, 1432, 220, 931, 605, 198, 220, 220, 9741, 20, 198, 220, 220, 6804, 24, 198, 10, 11556, 198, 220, 931, 2371, 1432, 220, 4119, 605, 198, 220, 220, 9741, 20, 198, 220, 220, 6804, 24, 198, 10, 11556, 198, 220, 931, 1958, 1432, 220, 10731, 605, 198, 220, 220, 9741, 20, 198, 220, 220, 6804, 24, 198, 10, 11556, 198, 220, 4119, 1958, 1432, 220, 10731, 605, 198, 220, 220, 9741, 20, 198, 220, 220, 6804, 24, 198, 10, 11556, 198, 220, 18887, 1958, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1855 + 1279\n\n\n 00010\n 1855\n 1279\n+ ----\n 00004\n\n\n 00110\n 1855\n 1279\n+ ----\n 00034\n\n\n 01110\n 1855\n 1279\n+ ----\n 00134\n\n\n 01110\n 1855\n 1279\n+ ----\n 03134\n\n", "id": 1182}, {"char_len": 574, "tokens": [10895, 15935, 19615, 489, 220, 5728, 1432, 220, 931, 931, 4119, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 931, 931, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 931, 11194, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 931, 24970, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 931, 23215, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 11436, 23215, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 22000, 23215, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 931, 24054, 23215, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 8504, 24054, 23215, 15, 1432, 220, 931, 931, 10731, 15, 198, 220, 220, 10895, 15935, 19615, 198, 220, 220, 931, 931, 26739, 198, 10, 220, 29547, 220, 16037, 24054, 23215, 15, 271], "tokenizer": "cl100k_base", "tokens_len": 250, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "157285396 + 74\n\n\n 0000000010\n 157285396\n 000000074\n+ ---------\n 0000000000\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0000000070\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0000000470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0000005470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0000085470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0000285470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0007285470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0057285470\n\n\n 0000000110\n 157285396\n 000000074\n+ ---------\n 0157285470\n\n", "id": 1183}, {"char_len": 107, "tokens": [15500, 489, 220, 26088, 1432, 220, 4119, 15, 198, 220, 220, 15500, 198, 220, 220, 26088, 198, 10, 55023, 220, 931, 17, 1432, 220, 10731, 15, 198, 220, 220, 15500, 198, 220, 220, 26088, 198, 10, 55023, 220, 931, 17, 1432, 220, 5037, 15, 198, 220, 220, 15500, 198, 220, 220, 26088, 198, 10, 55023, 220, 11139, 17, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "309 + 893\n\n\n 0010\n 309\n 893\n+ ---\n 0002\n\n\n 0110\n 309\n 893\n+ ---\n 0002\n\n\n 1110\n 309\n 893\n+ ---\n 0202\n\n", "id": 1184}, {"char_len": 63, "tokens": [845, 489, 220, 2031, 1432, 220, 931, 198, 220, 220, 845, 198, 220, 220, 2031, 198, 10, 40614, 220, 11030, 1432, 220, 931, 198, 220, 220, 845, 198, 220, 220, 2031, 198, 10, 40614, 220, 26956, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "16 + 70\n\n\n 000\n 16\n 70\n+ --\n 006\n\n\n 000\n 16\n 70\n+ --\n 086\n\n", "id": 1185}, {"char_len": 161, "tokens": [8848, 23, 489, 220, 25358, 22, 1432, 220, 931, 605, 198, 220, 220, 8848, 23, 198, 220, 220, 25358, 22, 198, 10, 11556, 198, 220, 931, 2304, 1432, 220, 931, 605, 198, 220, 220, 8848, 23, 198, 220, 220, 25358, 22, 198, 10, 11556, 198, 220, 931, 2075, 1432, 220, 931, 605, 198, 220, 220, 8848, 23, 198, 220, 220, 25358, 22, 198, 10, 11556, 198, 220, 11194, 2075, 1432, 220, 931, 605, 198, 220, 220, 8848, 23, 198, 220, 220, 25358, 22, 198, 10, 11556, 198, 220, 28384, 2075, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "2108 + 7667\n\n\n 00010\n 2108\n 7667\n+ ----\n 00005\n\n\n 00010\n 2108\n 7667\n+ ----\n 00075\n\n\n 00010\n 2108\n 7667\n+ ----\n 00775\n\n\n 00010\n 2108\n 7667\n+ ----\n 09775\n\n", "id": 1186}, {"char_len": 225, "tokens": [6804, 4370, 489, 220, 8899, 914, 1432, 220, 931, 931, 198, 220, 220, 6804, 4370, 198, 220, 220, 8899, 914, 198, 10, 81049, 220, 931, 13858, 1432, 220, 931, 931, 198, 220, 220, 6804, 4370, 198, 220, 220, 8899, 914, 198, 10, 81049, 220, 931, 27407, 1432, 220, 4119, 931, 198, 220, 220, 6804, 4370, 198, 220, 220, 8899, 914, 198, 10, 81049, 220, 931, 24847, 1432, 220, 4119, 931, 198, 220, 220, 6804, 4370, 198, 220, 220, 8899, 914, 198, 10, 81049, 220, 8759, 24847, 1432, 220, 4119, 931, 198, 220, 220, 6804, 4370, 198, 220, 220, 8899, 914, 198, 10, 81049, 220, 19592, 24847, 271], "tokenizer": "cl100k_base", "tokens_len": 107, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "12754 + 11825\n\n\n 000000\n 12754\n 11825\n+ -----\n 000009\n\n\n 000000\n 12754\n 11825\n+ -----\n 000079\n\n\n 001000\n 12754\n 11825\n+ -----\n 000579\n\n\n 001000\n 12754\n 11825\n+ -----\n 004579\n\n\n 001000\n 12754\n 11825\n+ -----\n 024579\n\n", "id": 1187}, {"char_len": 106, "tokens": [9756, 489, 220, 717, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 11531, 198, 10, 55023, 220, 931, 19, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 11531, 198, 10, 55023, 220, 11030, 19, 1432, 220, 931, 15, 198, 220, 220, 9756, 198, 220, 220, 11531, 198, 10, 55023, 220, 15794, 19, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "152 + 12\n\n\n 0000\n 152\n 012\n+ ---\n 0004\n\n\n 0000\n 152\n 012\n+ ---\n 0064\n\n\n 0000\n 152\n 012\n+ ---\n 0164\n\n", "id": 1188}, {"char_len": 159, "tokens": [20213, 24, 489, 220, 1490, 1432, 220, 931, 410, 198, 220, 220, 20213, 24, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 931, 2545, 1432, 220, 4119, 410, 198, 220, 220, 20213, 24, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 931, 2491, 1432, 220, 4119, 410, 198, 220, 220, 20213, 24, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 4119, 2491, 1432, 220, 4119, 410, 198, 220, 220, 20213, 24, 198, 220, 220, 11436, 15, 198, 10, 11556, 198, 220, 23324, 2491, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "6069 + 80\n\n\n 00000\n 6069\n 0080\n+ ----\n 00009\n\n\n 00100\n 6069\n 0080\n+ ----\n 00049\n\n\n 00100\n 6069\n 0080\n+ ----\n 00149\n\n\n 00100\n 6069\n 0080\n+ ----\n 06149\n\n", "id": 1189}, {"char_len": 471, "tokens": [1227, 489, 220, 11739, 18660, 3264, 1432, 220, 931, 931, 7755, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 931, 6726, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 931, 19222, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 931, 10674, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 6268, 10674, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 24254, 10674, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 931, 26087, 10674, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 11030, 26087, 10674, 1432, 220, 931, 931, 5120, 198, 220, 220, 931, 931, 1227, 198, 220, 220, 11739, 18660, 3264, 198, 10, 90238, 220, 15794, 26087, 10674, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "64 + 16963098\n\n\n 000000010\n 00000064\n 16963098\n+ --------\n 000000002\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 000000062\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 000000162\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 000003162\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 000063162\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 000963162\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 006963162\n\n\n 000000110\n 00000064\n 16963098\n+ --------\n 016963162\n\n", "id": 1190}, {"char_len": 161, "tokens": [10350, 21, 489, 220, 23644, 15, 1432, 220, 931, 410, 198, 220, 220, 10350, 21, 198, 220, 220, 23644, 15, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 4119, 410, 198, 220, 220, 10350, 21, 198, 220, 220, 23644, 15, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 4119, 410, 198, 220, 220, 10350, 21, 198, 220, 220, 23644, 15, 198, 10, 11556, 198, 220, 13858, 2705, 1432, 220, 4119, 410, 198, 220, 220, 10350, 21, 198, 220, 220, 23644, 15, 198, 10, 11556, 198, 220, 25867, 2705, 271], "tokenizer": "cl100k_base", "tokens_len": 91, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "1386 + 7520\n\n\n 00000\n 1386\n 7520\n+ ----\n 00006\n\n\n 00100\n 1386\n 7520\n+ ----\n 00006\n\n\n 00100\n 1386\n 7520\n+ ----\n 00906\n\n\n 00100\n 1386\n 7520\n+ ----\n 08906\n\n", "id": 1191}, {"char_len": 472, "tokens": [4364, 489, 220, 10718, 20899, 605, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 931, 931, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 931, 14649, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 931, 14245, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 931, 14245, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 13837, 14245, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 931, 5245, 14245, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 11030, 5245, 14245, 1432, 220, 931, 931, 931, 198, 220, 220, 931, 4119, 508, 198, 220, 220, 10718, 20899, 605, 198, 10, 90238, 220, 15794, 5245, 14245, 271], "tokenizer": "cl100k_base", "tokens_len": 199, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "120 + 16180310\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000000000\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000000030\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000000430\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000000430\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000080430\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 000180430\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 006180430\n\n\n 000000000\n 00000120\n 16180310\n+ --------\n 016180430\n\n", "id": 1192}, {"char_len": 159, "tokens": [2397, 489, 220, 22801, 16, 1432, 220, 931, 410, 198, 220, 220, 11030, 20, 198, 220, 220, 22801, 16, 198, 10, 11556, 198, 220, 931, 2705, 1432, 220, 931, 410, 198, 220, 220, 11030, 20, 198, 220, 220, 22801, 16, 198, 10, 11556, 198, 220, 931, 4161, 1432, 220, 931, 410, 198, 220, 220, 11030, 20, 198, 220, 220, 22801, 16, 198, 10, 11556, 198, 220, 6726, 4161, 1432, 220, 931, 410, 198, 220, 220, 11030, 20, 198, 220, 220, 22801, 16, 198, 10, 11556, 198, 220, 19222, 4161, 271], "tokenizer": "cl100k_base", "tokens_len": 90, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "65 + 6231\n\n\n 00000\n 0065\n 6231\n+ ----\n 00006\n\n\n 00000\n 0065\n 6231\n+ ----\n 00096\n\n\n 00000\n 0065\n 6231\n+ ----\n 00296\n\n\n 00000\n 0065\n 6231\n+ ----\n 06296\n\n", "id": 1193}, {"char_len": 814, "tokens": [22694, 20363, 14125, 868, 489, 220, 10239, 25505, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 931, 4119, 1432, 220, 931, 931, 931, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 931, 24508, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 931, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 11194, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 27309, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 931, 23275, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 6726, 23275, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 22349, 23275, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 931, 25560, 23275, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 13858, 25560, 23275, 22005, 1432, 220, 931, 931, 4119, 7755, 198, 220, 220, 22694, 20363, 14125, 868, 198, 220, 220, 931, 4119, 19140, 3487, 198, 10, 220, 26999, 220, 26513, 25560, 23275, 22005, 271], "tokenizer": "cl100k_base", "tokens_len": 328, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "99742624715 + 142856\n\n\n 000000000010\n 99742624715\n 00000142856\n+ -----------\n 000000000001\n\n\n 000000000010\n 99742624715\n 00000142856\n+ -----------\n 000000000071\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000000000571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000000007571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000000067571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000000767571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000002767571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000042767571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 000742767571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 009742767571\n\n\n 000000001010\n 99742624715\n 00000142856\n+ -----------\n 099742767571\n\n", "id": 1194}, {"char_len": 107, "tokens": [12754, 489, 220, 24380, 1432, 220, 931, 15, 198, 220, 220, 12754, 198, 220, 220, 24380, 198, 10, 55023, 220, 931, 18, 1432, 220, 7755, 15, 198, 220, 220, 12754, 198, 220, 220, 24380, 198, 10, 55023, 220, 6268, 18, 1432, 220, 7755, 15, 198, 220, 220, 12754, 198, 220, 220, 24380, 198, 10, 55023, 220, 25077, 18, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "242 + 591\n\n\n 0000\n 242\n 591\n+ ---\n 0003\n\n\n 0100\n 242\n 591\n+ ---\n 0033\n\n\n 0100\n 242\n 591\n+ ---\n 0833\n\n", "id": 1195}, {"char_len": 810, "tokens": [3174, 489, 220, 9674, 2550, 12448, 845, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 11194, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 26866, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 931, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 16193, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 931, 15862, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 13858, 15862, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 18089, 15862, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 931, 24758, 15862, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 11436, 24758, 15862, 27341, 1432, 220, 931, 931, 931, 931, 198, 220, 220, 931, 931, 931, 3174, 198, 220, 220, 9674, 2550, 12448, 845, 198, 10, 220, 26999, 220, 16745, 24758, 15862, 27341, 271], "tokenizer": "cl100k_base", "tokens_len": 327, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "41 + 18719950916\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000000007\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000000057\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000000957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000000957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000050957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000000950957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000009950957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000019950957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 000719950957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 008719950957\n\n\n 000000000000\n 00000000041\n 18719950916\n+ -----------\n 018719950957\n\n", "id": 1196}, {"char_len": 63, "tokens": [2096, 489, 220, 605, 1432, 220, 931, 198, 220, 220, 2096, 198, 220, 220, 605, 198, 10, 40614, 220, 8759, 1432, 220, 931, 198, 220, 220, 2096, 198, 220, 220, 605, 198, 10, 40614, 220, 25230, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "44 + 10\n\n\n 000\n 44\n 10\n+ --\n 004\n\n\n 000\n 44\n 10\n+ --\n 054\n\n", "id": 1197}, {"char_len": 63, "tokens": [975, 489, 220, 845, 1432, 220, 7755, 198, 220, 220, 975, 198, 220, 220, 845, 198, 10, 40614, 220, 931, 1432, 220, 7755, 198, 220, 220, 975, 198, 220, 220, 845, 198, 10, 40614, 220, 14649, 271], "tokenizer": "cl100k_base", "tokens_len": 37, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "14 + 16\n\n\n 010\n 14\n 16\n+ --\n 000\n\n\n 010\n 14\n 16\n+ --\n 030\n\n", "id": 1198}, {"char_len": 106, "tokens": [1806, 489, 220, 8259, 1432, 220, 931, 15, 198, 220, 220, 23587, 198, 220, 220, 8259, 198, 10, 55023, 220, 931, 24, 1432, 220, 931, 15, 198, 220, 220, 23587, 198, 220, 220, 8259, 198, 10, 55023, 220, 8504, 24, 1432, 220, 931, 15, 198, 220, 220, 23587, 198, 220, 220, 8259, 198, 10, 55023, 220, 16037, 24, 271], "tokenizer": "cl100k_base", "tokens_len": 59, "data_type": "step_by_step_arithmetic", "kind": "addition", "txt": "37 + 122\n\n\n 0000\n 037\n 122\n+ ---\n 0009\n\n\n 0000\n 037\n 122\n+ ---\n 0059\n\n\n 0000\n 037\n 122\n+ ---\n 0159\n\n", "id": 1199}, {"char_len": 79, "tokens": [1419, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1419, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 2839, 271, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1419, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 1032, 271, 1032, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "23 - 10\n\n\nBorrow: 0\n 23\n 10\n- --\n 03\n\n03\n\nBorrow: 0\n 23\n 10\n- --\n 13\n\n13\n", "id": 1200}, {"char_len": 536, "tokens": [22418, 25808, 4103, 482, 220, 22094, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 931, 931, 2839, 271, 931, 931, 2839, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 931, 931, 6365, 271, 931, 931, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 931, 931, 6365, 271, 931, 931, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 931, 18807, 6365, 271, 931, 18807, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 931, 22876, 6365, 271, 931, 22876, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 13858, 22876, 6365, 271, 13858, 22876, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 25867, 22876, 6365, 271, 25867, 22876, 6365, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22418, 25808, 4103, 198, 220, 220, 931, 8759, 2946, 198, 12, 90238, 220, 220, 22418, 22876, 6365, 271, 22418, 22876, 6365, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "48979552 - 459\n\n\nBorrow: 1\n 48979552\n 00000459\n- --------\n 00000003\n\n00000003\n\nBorrow: 1\n 48979552\n 00000459\n- --------\n 00000093\n\n00000093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 00000093\n\n00000093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 00009093\n\n00009093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 00079093\n\n00079093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 00979093\n\n00979093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 08979093\n\n08979093\n\nBorrow: 0\n 48979552\n 00000459\n- --------\n 48979093\n\n48979093\n", "id": 1201}, {"char_len": 263, "tokens": [20224, 914, 482, 220, 21474, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 20224, 914, 198, 220, 220, 11436, 2545, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 914, 198, 220, 220, 11436, 2545, 198, 12, 81049, 220, 220, 931, 845, 271, 931, 845, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20224, 914, 198, 220, 220, 11436, 2545, 198, 12, 81049, 220, 220, 8759, 845, 271, 8759, 845, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20224, 914, 198, 220, 220, 11436, 2545, 198, 12, 81049, 220, 220, 26195, 845, 271, 26195, 845, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 914, 198, 220, 220, 11436, 2545, 198, 12, 81049, 220, 220, 23428, 845, 271, 23428, 845, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "60225 - 809\n\n\nBorrow: 1\n 60225\n 00809\n- -----\n 00006\n\n00006\n\nBorrow: 0\n 60225\n 00809\n- -----\n 00016\n\n00016\n\nBorrow: 1\n 60225\n 00809\n- -----\n 00416\n\n00416\n\nBorrow: 1\n 60225\n 00809\n- -----\n 09416\n\n09416\n\nBorrow: 0\n 60225\n 00809\n- -----\n 59416\n\n59416\n", "id": 1202}, {"char_len": 435, "tokens": [18625, 7261, 23, 482, 220, 22608, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 931, 931, 20, 271, 931, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 931, 6268, 20, 271, 931, 6268, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 931, 25210, 20, 271, 931, 25210, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 931, 25210, 20, 271, 931, 25210, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 4119, 25210, 20, 271, 4119, 25210, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 10731, 25210, 20, 271, 10731, 25210, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7261, 23, 198, 220, 220, 931, 27033, 18, 198, 12, 39707, 220, 220, 18625, 25210, 20, 271, 18625, 25210, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5111128 - 593\n\n\nBorrow: 0\n 5111128\n 0000593\n- -------\n 0000005\n\n0000005\n\nBorrow: 1\n 5111128\n 0000593\n- -------\n 0000035\n\n0000035\n\nBorrow: 1\n 5111128\n 0000593\n- -------\n 0000535\n\n0000535\n\nBorrow: 0\n 5111128\n 0000593\n- -------\n 0000535\n\n0000535\n\nBorrow: 0\n 5111128\n 0000593\n- -------\n 0010535\n\n0010535\n\nBorrow: 0\n 5111128\n 0000593\n- -------\n 0110535\n\n0110535\n\nBorrow: 0\n 5111128\n 0000593\n- -------\n 5110535\n\n5110535\n", "id": 1203}, {"char_len": 79, "tokens": [777, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 777, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2304, 271, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 777, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2304, 271, 2304, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "19 - 14\n\n\nBorrow: 0\n 19\n 14\n- --\n 05\n\n05\n\nBorrow: 0\n 19\n 14\n- --\n 05\n\n05\n", "id": 1204}, {"char_len": 262, "tokens": [10861, 2790, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 2790, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 2790, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 931, 845, 271, 931, 845, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 2790, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 6726, 845, 271, 6726, 845, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 2790, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 23439, 845, 271, 23439, 845, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 2790, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 10861, 845, 271, 10861, 845, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "17246 - 30\n\n\nBorrow: 0\n 17246\n 00030\n- -----\n 00006\n\n00006\n\nBorrow: 0\n 17246\n 00030\n- -----\n 00016\n\n00016\n\nBorrow: 0\n 17246\n 00030\n- -----\n 00216\n\n00216\n\nBorrow: 0\n 17246\n 00030\n- -----\n 07216\n\n07216\n\nBorrow: 0\n 17246\n 00030\n- -----\n 17216\n\n17216\n", "id": 1205}, {"char_len": 191, "tokens": [12754, 19, 482, 220, 5547, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 12754, 19, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 12754, 19, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 11030, 18, 271, 11030, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12754, 19, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 23110, 18, 271, 23110, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12754, 19, 198, 220, 220, 11030, 16, 198, 12, 11556, 198, 220, 220, 14087, 18, 271, 14087, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2424 - 61\n\n\nBorrow: 0\n 2424\n 0061\n- ----\n 0003\n\n0003\n\nBorrow: 1\n 2424\n 0061\n- ----\n 0063\n\n0063\n\nBorrow: 0\n 2424\n 0061\n- ----\n 0363\n\n0363\n\nBorrow: 0\n 2424\n 0061\n- ----\n 2363\n\n2363\n", "id": 1206}, {"char_len": 437, "tokens": [14125, 21032, 16, 482, 220, 22895, 4161, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 931, 931, 20, 271, 931, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 931, 8504, 20, 271, 931, 8504, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 931, 16037, 20, 271, 931, 16037, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 931, 12112, 20, 271, 931, 12112, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 6726, 12112, 20, 271, 6726, 12112, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 22349, 12112, 20, 271, 22349, 12112, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 21032, 16, 198, 220, 220, 8504, 22905, 21, 198, 12, 39707, 220, 220, 12754, 12112, 20, 271, 12754, 12112, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2478051 - 55896\n\n\nBorrow: 1\n 2478051\n 0055896\n- -------\n 0000005\n\n0000005\n\nBorrow: 1\n 2478051\n 0055896\n- -------\n 0000055\n\n0000055\n\nBorrow: 1\n 2478051\n 0055896\n- -------\n 0000155\n\n0000155\n\nBorrow: 0\n 2478051\n 0055896\n- -------\n 0002155\n\n0002155\n\nBorrow: 0\n 2478051\n 0055896\n- -------\n 0022155\n\n0022155\n\nBorrow: 0\n 2478051\n 0055896\n- -------\n 0422155\n\n0422155\n\nBorrow: 0\n 2478051\n 0055896\n- -------\n 2422155\n\n2422155\n", "id": 1207}, {"char_len": 130, "tokens": [15666, 482, 220, 1627, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15666, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 23587, 271, 23587, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 14590, 271, 14590, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "263 - 26\n\n\nBorrow: 1\n 263\n 026\n- ---\n 007\n\n007\n\nBorrow: 0\n 263\n 026\n- ---\n 037\n\n037\n\nBorrow: 0\n 263\n 026\n- ---\n 237\n\n237\n", "id": 1208}, {"char_len": 130, "tokens": [10559, 482, 220, 1114, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10559, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 23587, 271, 23587, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 10148, 271, 10148, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "154 - 17\n\n\nBorrow: 1\n 154\n 017\n- ---\n 007\n\n007\n\nBorrow: 0\n 154\n 017\n- ---\n 037\n\n037\n\nBorrow: 0\n 154\n 017\n- ---\n 137\n\n137\n", "id": 1209}, {"char_len": 130, "tokens": [9714, 482, 220, 1419, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9714, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 6268, 271, 6268, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9714, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 24254, 271, 24254, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9714, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 9892, 271, 9892, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "186 - 23\n\n\nBorrow: 0\n 186\n 023\n- ---\n 003\n\n003\n\nBorrow: 0\n 186\n 023\n- ---\n 063\n\n063\n\nBorrow: 0\n 186\n 023\n- ---\n 163\n\n163\n", "id": 1210}, {"char_len": 191, "tokens": [11227, 24, 482, 220, 1627, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11227, 24, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11227, 24, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11227, 24, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 7755, 18, 271, 7755, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11227, 24, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 8848, 18, 271, 8848, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2129 - 26\n\n\nBorrow: 0\n 2129\n 0026\n- ----\n 0003\n\n0003\n\nBorrow: 0\n 2129\n 0026\n- ----\n 0003\n\n0003\n\nBorrow: 0\n 2129\n 0026\n- ----\n 0103\n\n0103\n\nBorrow: 0\n 2129\n 0026\n- ----\n 2103\n\n2103\n", "id": 1211}, {"char_len": 651, "tokens": [10914, 21404, 6280, 482, 220, 8027, 6550, 16, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 931, 8759, 271, 931, 931, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 931, 20078, 271, 931, 931, 20078, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 931, 8929, 271, 931, 931, 8929, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 8504, 8929, 271, 931, 8504, 8929, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 8504, 8929, 271, 931, 8504, 8929, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 931, 13364, 8929, 271, 931, 13364, 8929, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 13858, 13364, 8929, 271, 13858, 13364, 8929, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 27325, 13364, 8929, 271, 27325, 13364, 8929, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 21404, 6280, 198, 220, 220, 4119, 10718, 23545, 198, 12, 220, 29547, 220, 220, 16955, 13364, 8929, 271, 16955, 13364, 8929, 198], "tokenizer": "cl100k_base", "tokens_len": 288, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "270466195 - 1161051\n\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000000004\n\n000000004\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000000044\n\n000000044\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000000144\n\n000000144\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000005144\n\n000005144\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000005144\n\n000005144\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 000305144\n\n000305144\n\nBorrow: 1\n 270466195\n 001161051\n- ---------\n 009305144\n\n009305144\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 069305144\n\n069305144\n\nBorrow: 0\n 270466195\n 001161051\n- ---------\n 269305144\n\n269305144\n", "id": 1212}, {"char_len": 262, "tokens": [13860, 4643, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 13860, 4643, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13860, 4643, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 3080, 271, 931, 3080, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13860, 4643, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 4119, 3080, 271, 4119, 3080, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13860, 4643, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 23545, 3080, 271, 23545, 3080, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13860, 4643, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 13860, 3080, 271, 13860, 3080, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "25179 - 12\n\n\nBorrow: 0\n 25179\n 00012\n- -----\n 00007\n\n00007\n\nBorrow: 0\n 25179\n 00012\n- -----\n 00067\n\n00067\n\nBorrow: 0\n 25179\n 00012\n- -----\n 00167\n\n00167\n\nBorrow: 0\n 25179\n 00012\n- -----\n 05167\n\n05167\n\nBorrow: 0\n 25179\n 00012\n- -----\n 25167\n\n25167\n", "id": 1213}, {"char_len": 264, "tokens": [6640, 5925, 482, 220, 18384, 17, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6640, 5925, 198, 220, 220, 22407, 2983, 198, 12, 81049, 220, 220, 931, 2545, 271, 931, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6640, 5925, 198, 220, 220, 22407, 2983, 198, 12, 81049, 220, 220, 931, 2491, 271, 931, 2491, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6640, 5925, 198, 220, 220, 22407, 2983, 198, 12, 81049, 220, 220, 6268, 2491, 271, 6268, 2491, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6640, 5925, 198, 220, 220, 22407, 2983, 198, 12, 81049, 220, 220, 25779, 2491, 271, 25779, 2491, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6640, 5925, 198, 220, 220, 22407, 2983, 198, 12, 81049, 220, 220, 25779, 2491, 271, 25779, 2491, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10891 - 3542\n\n\nBorrow: 1\n 10891\n 03542\n- -----\n 00009\n\n00009\n\nBorrow: 0\n 10891\n 03542\n- -----\n 00049\n\n00049\n\nBorrow: 0\n 10891\n 03542\n- -----\n 00349\n\n00349\n\nBorrow: 1\n 10891\n 03542\n- -----\n 07349\n\n07349\n\nBorrow: 0\n 10891\n 03542\n- -----\n 07349\n\n07349\n", "id": 1214}, {"char_len": 263, "tokens": [25659, 2166, 482, 220, 19867, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 25659, 2166, 198, 220, 220, 6268, 4643, 198, 12, 81049, 220, 220, 931, 2545, 271, 931, 2545, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25659, 2166, 198, 220, 220, 6268, 4643, 198, 12, 81049, 220, 220, 931, 3076, 271, 931, 3076, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25659, 2166, 198, 220, 220, 6268, 4643, 198, 12, 81049, 220, 220, 8504, 3076, 271, 8504, 3076, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25659, 2166, 198, 220, 220, 6268, 4643, 198, 12, 81049, 220, 220, 22679, 3076, 271, 22679, 3076, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25659, 2166, 198, 220, 220, 6268, 4643, 198, 12, 81049, 220, 220, 22908, 3076, 271, 22908, 3076, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "77948 - 379\n\n\nBorrow: 1\n 77948\n 00379\n- -----\n 00009\n\n00009\n\nBorrow: 1\n 77948\n 00379\n- -----\n 00069\n\n00069\n\nBorrow: 0\n 77948\n 00379\n- -----\n 00569\n\n00569\n\nBorrow: 0\n 77948\n 00379\n- -----\n 07569\n\n07569\n\nBorrow: 0\n 77948\n 00379\n- -----\n 77569\n\n77569\n", "id": 1215}, {"char_len": 1190, "tokens": [18061, 14022, 24902, 21360, 21, 482, 220, 1691, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 931, 20, 271, 931, 931, 931, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 8504, 20, 271, 931, 931, 931, 8504, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 18070, 20, 271, 931, 931, 931, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 18070, 20, 271, 931, 931, 931, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 6268, 18070, 20, 271, 931, 931, 6268, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 25077, 18070, 20, 271, 931, 931, 25077, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 931, 24902, 18070, 20, 271, 931, 931, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 6268, 24902, 18070, 20, 271, 931, 6268, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 25210, 24902, 18070, 20, 271, 931, 25210, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 931, 14022, 24902, 18070, 20, 271, 931, 14022, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 11030, 14022, 24902, 18070, 20, 271, 11030, 14022, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 24222, 14022, 24902, 18070, 20, 271, 24222, 14022, 24902, 18070, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18061, 14022, 24902, 21360, 21, 198, 220, 220, 931, 931, 931, 6726, 16, 198, 12, 33658, 7058, 220, 220, 18061, 14022, 24902, 18070, 20, 271, 18061, 14022, 24902, 18070, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 516, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3462538830276 - 21\n\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000000005\n\n0000000000005\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000000055\n\n0000000000055\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000000255\n\n0000000000255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000000255\n\n0000000000255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000030255\n\n0000000030255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000000830255\n\n0000000830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000008830255\n\n0000008830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000038830255\n\n0000038830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0000538830255\n\n0000538830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0002538830255\n\n0002538830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0062538830255\n\n0062538830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 0462538830255\n\n0462538830255\n\nBorrow: 0\n 3462538830276\n 0000000000021\n- -------------\n 3462538830255\n\n3462538830255\n", "id": 1216}, {"char_len": 536, "tokens": [20555, 20360, 6069, 482, 220, 22184, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 931, 931, 2705, 271, 931, 931, 2705, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 931, 931, 4161, 271, 931, 931, 4161, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 931, 11030, 4161, 271, 931, 11030, 4161, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 931, 24222, 4161, 271, 931, 24222, 4161, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 931, 20385, 4161, 271, 931, 20385, 4161, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 8759, 20385, 4161, 271, 8759, 20385, 4161, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 25230, 20385, 4161, 271, 25230, 20385, 4161, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20555, 20360, 6069, 198, 220, 220, 931, 8759, 4044, 198, 12, 90238, 220, 220, 20555, 20385, 4161, 271, 20555, 20385, 4161, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "45445183 - 487\n\n\nBorrow: 1\n 45445183\n 00000487\n- --------\n 00000006\n\n00000006\n\nBorrow: 1\n 45445183\n 00000487\n- --------\n 00000096\n\n00000096\n\nBorrow: 1\n 45445183\n 00000487\n- --------\n 00000696\n\n00000696\n\nBorrow: 0\n 45445183\n 00000487\n- --------\n 00004696\n\n00004696\n\nBorrow: 0\n 45445183\n 00000487\n- --------\n 00044696\n\n00044696\n\nBorrow: 0\n 45445183\n 00000487\n- --------\n 00444696\n\n00444696\n\nBorrow: 0\n 45445183\n 00000487\n- --------\n 05444696\n\n05444696\n\nBorrow: 0\n 45445183\n 00000487\n- --------\n 45444696\n\n45444696\n", "id": 1217}, {"char_len": 647, "tokens": [10841, 16193, 19306, 482, 220, 17711, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 931, 931, 271, 931, 931, 931, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 931, 15101, 271, 931, 931, 15101, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 931, 16551, 271, 931, 931, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 931, 16551, 271, 931, 931, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 16193, 16551, 271, 931, 16193, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 931, 16193, 16551, 271, 931, 16193, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 4119, 16193, 16551, 271, 4119, 16193, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 4119, 16193, 16551, 271, 4119, 16193, 16551, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 16193, 19306, 198, 220, 220, 931, 931, 17711, 198, 12, 220, 29547, 220, 220, 10841, 16193, 16551, 271, 10841, 16193, 16551, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "401050930 - 470\n\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 000000000\n\n000000000\n\nBorrow: 1\n 401050930\n 000000470\n- ---------\n 000000060\n\n000000060\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 000000460\n\n000000460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 000000460\n\n000000460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 000050460\n\n000050460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 000050460\n\n000050460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 001050460\n\n001050460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 001050460\n\n001050460\n\nBorrow: 0\n 401050930\n 000000470\n- ---------\n 401050460\n\n401050460\n", "id": 1218}, {"char_len": 540, "tokens": [11771, 19774, 5547, 482, 220, 18775, 22679, 24, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 931, 15101, 2437, 271, 931, 15101, 2437, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 931, 16415, 2437, 271, 931, 16415, 2437, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 11194, 16415, 2437, 271, 11194, 16415, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 23587, 16415, 2437, 271, 23587, 16415, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 19774, 5547, 198, 220, 220, 23110, 18770, 2946, 198, 12, 90238, 220, 220, 10148, 16415, 2437, 271, 10148, 16415, 2437, 198], "tokenizer": "cl100k_base", "tokens_len": 249, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "17466761 - 3670759\n\n\nBorrow: 1\n 17466761\n 03670759\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 17466761\n 03670759\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 17466761\n 03670759\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 17466761\n 03670759\n- --------\n 00006002\n\n00006002\n\nBorrow: 1\n 17466761\n 03670759\n- --------\n 00096002\n\n00096002\n\nBorrow: 1\n 17466761\n 03670759\n- --------\n 00796002\n\n00796002\n\nBorrow: 0\n 17466761\n 03670759\n- --------\n 03796002\n\n03796002\n\nBorrow: 0\n 17466761\n 03670759\n- --------\n 13796002\n\n13796002\n", "id": 1219}, {"char_len": 191, "tokens": [16949, 20, 482, 220, 1806, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 16949, 20, 198, 220, 220, 6268, 22, 198, 12, 11556, 198, 220, 220, 931, 23, 271, 931, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16949, 20, 198, 220, 220, 6268, 22, 198, 12, 11556, 198, 220, 220, 8759, 23, 271, 8759, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16949, 20, 198, 220, 220, 6268, 22, 198, 12, 11556, 198, 220, 220, 26739, 23, 271, 26739, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16949, 20, 198, 220, 220, 6268, 22, 198, 12, 11556, 198, 220, 220, 16590, 23, 271, 16590, 23, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2785 - 37\n\n\nBorrow: 1\n 2785\n 0037\n- ----\n 0008\n\n0008\n\nBorrow: 0\n 2785\n 0037\n- ----\n 0048\n\n0048\n\nBorrow: 0\n 2785\n 0037\n- ----\n 0748\n\n0748\n\nBorrow: 0\n 2785\n 0037\n- ----\n 2748\n\n2748\n", "id": 1220}, {"char_len": 263, "tokens": [17272, 966, 482, 220, 3965, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17272, 966, 198, 220, 220, 4119, 1135, 198, 12, 81049, 220, 220, 931, 410, 271, 931, 410, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17272, 966, 198, 220, 220, 4119, 1135, 198, 12, 81049, 220, 220, 931, 1490, 271, 931, 1490, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17272, 966, 198, 220, 220, 4119, 1135, 198, 12, 81049, 220, 220, 11030, 1490, 271, 11030, 1490, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17272, 966, 198, 220, 220, 4119, 1135, 198, 12, 81049, 220, 220, 26247, 1490, 271, 26247, 1490, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17272, 966, 198, 220, 220, 4119, 1135, 198, 12, 81049, 220, 220, 25208, 1490, 271, 25208, 1490, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "97830 - 150\n\n\nBorrow: 0\n 97830\n 00150\n- -----\n 00000\n\n00000\n\nBorrow: 1\n 97830\n 00150\n- -----\n 00080\n\n00080\n\nBorrow: 0\n 97830\n 00150\n- -----\n 00680\n\n00680\n\nBorrow: 0\n 97830\n 00150\n- -----\n 07680\n\n07680\n\nBorrow: 0\n 97830\n 00150\n- -----\n 97680\n\n97680\n", "id": 1221}, {"char_len": 262, "tokens": [24471, 975, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 24471, 975, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24471, 975, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24471, 975, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 6268, 2839, 271, 6268, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24471, 975, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 25779, 2839, 271, 25779, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24471, 975, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 24471, 2839, 271, 24471, 2839, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "97314 - 11\n\n\nBorrow: 0\n 97314\n 00011\n- -----\n 00003\n\n00003\n\nBorrow: 0\n 97314\n 00011\n- -----\n 00003\n\n00003\n\nBorrow: 0\n 97314\n 00011\n- -----\n 00303\n\n00303\n\nBorrow: 0\n 97314\n 00011\n- -----\n 07303\n\n07303\n\nBorrow: 0\n 97314\n 00011\n- -----\n 97303\n\n97303\n", "id": 1222}, {"char_len": 193, "tokens": [24515, 22, 482, 220, 10967, 16, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 24515, 22, 198, 220, 220, 10967, 16, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24515, 22, 198, 220, 220, 10967, 16, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24515, 22, 198, 220, 220, 10967, 16, 198, 12, 11556, 198, 220, 220, 11139, 21, 271, 11139, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24515, 22, 198, 220, 220, 10967, 16, 198, 12, 11556, 198, 220, 220, 12819, 21, 271, 12819, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 115, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5967 - 1761\n\n\nBorrow: 0\n 5967\n 1761\n- ----\n 0006\n\n0006\n\nBorrow: 0\n 5967\n 1761\n- ----\n 0006\n\n0006\n\nBorrow: 0\n 5967\n 1761\n- ----\n 0206\n\n0206\n\nBorrow: 0\n 5967\n 1761\n- ----\n 4206\n\n4206\n", "id": 1223}, {"char_len": 130, "tokens": [20698, 482, 220, 5958, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 19592, 271, 19592, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 16723, 271, 16723, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "397 - 73\n\n\nBorrow: 0\n 397\n 073\n- ---\n 004\n\n004\n\nBorrow: 0\n 397\n 073\n- ---\n 024\n\n024\n\nBorrow: 0\n 397\n 073\n- ---\n 324\n\n324\n", "id": 1224}, {"char_len": 130, "tokens": [19232, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 19232, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 931, 271, 931, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 19232, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 18807, 271, 18807, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19232, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 22876, 271, 22876, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "810 - 20\n\n\nBorrow: 0\n 810\n 020\n- ---\n 000\n\n000\n\nBorrow: 1\n 810\n 020\n- ---\n 090\n\n090\n\nBorrow: 0\n 810\n 020\n- ---\n 790\n\n790\n", "id": 1225}, {"char_len": 191, "tokens": [5894, 21, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 16, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 16, 198, 12, 11556, 198, 220, 220, 13858, 20, 271, 13858, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 16, 198, 12, 11556, 198, 220, 220, 23273, 20, 271, 23273, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 16, 198, 12, 11556, 198, 220, 220, 9748, 20, 271, 9748, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1306 - 11\n\n\nBorrow: 0\n 1306\n 0011\n- ----\n 0005\n\n0005\n\nBorrow: 1\n 1306\n 0011\n- ----\n 0095\n\n0095\n\nBorrow: 0\n 1306\n 0011\n- ----\n 0295\n\n0295\n\nBorrow: 0\n 1306\n 0011\n- ----\n 1295\n\n1295\n", "id": 1226}, {"char_len": 262, "tokens": [9795, 2318, 482, 220, 3487, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 2318, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 931, 2437, 271, 931, 2437, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9795, 2318, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 931, 4103, 271, 931, 4103, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 2318, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 8504, 4103, 271, 8504, 4103, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 2318, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 22407, 4103, 271, 22407, 4103, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9795, 2318, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 8878, 4103, 271, 8878, 4103, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "13608 - 56\n\n\nBorrow: 0\n 13608\n 00056\n- -----\n 00002\n\n00002\n\nBorrow: 1\n 13608\n 00056\n- -----\n 00052\n\n00052\n\nBorrow: 0\n 13608\n 00056\n- -----\n 00552\n\n00552\n\nBorrow: 0\n 13608\n 00056\n- -----\n 03552\n\n03552\n\nBorrow: 0\n 13608\n 00056\n- -----\n 13552\n\n13552\n", "id": 1227}, {"char_len": 262, "tokens": [18044, 1544, 482, 220, 6365, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 1544, 198, 220, 220, 931, 6365, 198, 12, 81049, 220, 220, 931, 2371, 271, 931, 2371, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18044, 1544, 198, 220, 220, 931, 6365, 198, 12, 81049, 220, 220, 931, 1958, 271, 931, 1958, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 1544, 198, 220, 220, 931, 6365, 198, 12, 81049, 220, 220, 8504, 1958, 271, 8504, 1958, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 1544, 198, 220, 220, 931, 6365, 198, 12, 81049, 220, 220, 26478, 1958, 271, 26478, 1958, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 1544, 198, 220, 220, 931, 6365, 198, 12, 81049, 220, 220, 12676, 1958, 271, 12676, 1958, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "36627 - 93\n\n\nBorrow: 0\n 36627\n 00093\n- -----\n 00004\n\n00004\n\nBorrow: 1\n 36627\n 00093\n- -----\n 00034\n\n00034\n\nBorrow: 0\n 36627\n 00093\n- -----\n 00534\n\n00534\n\nBorrow: 0\n 36627\n 00093\n- -----\n 06534\n\n06534\n\nBorrow: 0\n 36627\n 00093\n- -----\n 36534\n\n36534\n", "id": 1228}, {"char_len": 130, "tokens": [12425, 482, 220, 1114, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12425, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 198, 220, 220, 17248, 198, 12, 55023, 220, 220, 7854, 271, 7854, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "221 - 17\n\n\nBorrow: 1\n 221\n 017\n- ---\n 004\n\n004\n\nBorrow: 0\n 221\n 017\n- ---\n 004\n\n004\n\nBorrow: 0\n 221\n 017\n- ---\n 204\n\n204\n", "id": 1229}, {"char_len": 434, "tokens": [8011, 16371, 17, 482, 220, 2137, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 931, 931, 18, 271, 931, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 931, 8504, 18, 271, 931, 8504, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 931, 18070, 18, 271, 931, 18070, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 931, 17837, 18, 271, 931, 17837, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 8759, 17837, 18, 271, 8759, 17837, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 15901, 17837, 18, 271, 15901, 17837, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8011, 16371, 17, 198, 220, 220, 931, 6268, 24, 198, 12, 39707, 220, 220, 8011, 17837, 18, 271, 8011, 17837, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1144292 - 39\n\n\nBorrow: 1\n 1144292\n 0000039\n- -------\n 0000003\n\n0000003\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 0000053\n\n0000053\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 0000253\n\n0000253\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 0004253\n\n0004253\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 0044253\n\n0044253\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 0144253\n\n0144253\n\nBorrow: 0\n 1144292\n 0000039\n- -------\n 1144253\n\n1144253\n", "id": 1230}, {"char_len": 130, "tokens": [9413, 482, 220, 1419, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9413, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9413, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9413, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 7743, 271, 7743, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "132 - 23\n\n\nBorrow: 1\n 132\n 023\n- ---\n 009\n\n009\n\nBorrow: 0\n 132\n 023\n- ---\n 009\n\n009\n\nBorrow: 0\n 132\n 023\n- ---\n 109\n\n109\n", "id": 1231}, {"char_len": 79, "tokens": [868, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 868, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 868, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 1721, 271, 1721, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "15 - 14\n\n\nBorrow: 0\n 15\n 14\n- --\n 01\n\n01\n\nBorrow: 0\n 15\n 14\n- --\n 01\n\n01\n", "id": 1232}, {"char_len": 79, "tokens": [1758, 482, 220, 1114, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1758, 198, 220, 220, 1114, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1758, 198, 220, 220, 1114, 198, 12, 40614, 220, 220, 972, 271, 972, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "35 - 17\n\n\nBorrow: 1\n 35\n 17\n- --\n 08\n\n08\n\nBorrow: 0\n 35\n 17\n- --\n 18\n\n18\n", "id": 1233}, {"char_len": 79, "tokens": [4578, 482, 220, 2970, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 4578, 198, 220, 220, 2970, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4578, 198, 220, 220, 2970, 198, 12, 40614, 220, 220, 2148, 271, 2148, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "89 - 58\n\n\nBorrow: 0\n 89\n 58\n- --\n 01\n\n01\n\nBorrow: 0\n 89\n 58\n- --\n 31\n\n31\n", "id": 1234}, {"char_len": 192, "tokens": [24199, 18, 482, 220, 22876, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 24199, 18, 198, 220, 220, 27407, 15, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 24199, 18, 198, 220, 220, 27407, 15, 198, 12, 11556, 198, 220, 220, 6268, 18, 271, 6268, 18, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 24199, 18, 198, 220, 220, 27407, 15, 198, 12, 11556, 198, 220, 220, 25077, 18, 271, 25077, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24199, 18, 198, 220, 220, 27407, 15, 198, 12, 11556, 198, 220, 220, 23493, 18, 271, 23493, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "6623 - 790\n\n\nBorrow: 0\n 6623\n 0790\n- ----\n 0003\n\n0003\n\nBorrow: 1\n 6623\n 0790\n- ----\n 0033\n\n0033\n\nBorrow: 1\n 6623\n 0790\n- ----\n 0833\n\n0833\n\nBorrow: 0\n 6623\n 0790\n- ----\n 5833\n\n5833\n", "id": 1235}, {"char_len": 130, "tokens": [11908, 482, 220, 4103, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 24130, 198, 12, 55023, 220, 220, 4119, 271, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 24130, 198, 12, 55023, 220, 220, 11592, 271, 11592, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 24130, 198, 12, 55023, 220, 220, 7994, 271, 7994, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "173 - 52\n\n\nBorrow: 0\n 173\n 052\n- ---\n 001\n\n001\n\nBorrow: 0\n 173\n 052\n- ---\n 021\n\n021\n\nBorrow: 0\n 173\n 052\n- ---\n 121\n\n121\n", "id": 1236}, {"char_len": 263, "tokens": [10562, 2839, 482, 220, 25926, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10562, 2839, 198, 220, 220, 11194, 6281, 198, 12, 81049, 220, 220, 931, 2545, 271, 931, 2545, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10562, 2839, 198, 220, 220, 11194, 6281, 198, 12, 81049, 220, 220, 931, 2545, 271, 931, 2545, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10562, 2839, 198, 220, 220, 11194, 6281, 198, 12, 81049, 220, 220, 6268, 2545, 271, 6268, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10562, 2839, 198, 220, 220, 11194, 6281, 198, 12, 81049, 220, 220, 25779, 2545, 271, 25779, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10562, 2839, 198, 220, 220, 11194, 6281, 198, 12, 81049, 220, 220, 11908, 2545, 271, 11908, 2545, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "18103 - 794\n\n\nBorrow: 1\n 18103\n 00794\n- -----\n 00009\n\n00009\n\nBorrow: 1\n 18103\n 00794\n- -----\n 00009\n\n00009\n\nBorrow: 1\n 18103\n 00794\n- -----\n 00309\n\n00309\n\nBorrow: 0\n 18103\n 00794\n- -----\n 07309\n\n07309\n\nBorrow: 0\n 18103\n 00794\n- -----\n 17309\n\n17309\n", "id": 1237}, {"char_len": 130, "tokens": [22782, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 22379, 271, 22379, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 22467, 271, 22467, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "549 - 15\n\n\nBorrow: 0\n 549\n 015\n- ---\n 004\n\n004\n\nBorrow: 0\n 549\n 015\n- ---\n 034\n\n034\n\nBorrow: 0\n 549\n 015\n- ---\n 534\n\n534\n", "id": 1238}, {"char_len": 647, "tokens": [7322, 20618, 10943, 482, 220, 9748, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 931, 11194, 271, 931, 931, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 931, 23587, 271, 931, 931, 23587, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 931, 19038, 271, 931, 931, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 8504, 19038, 271, 931, 8504, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 22407, 19038, 271, 931, 22407, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 931, 20618, 19038, 271, 931, 20618, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 8504, 20618, 19038, 271, 8504, 20618, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 16037, 20618, 19038, 271, 16037, 20618, 19038, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7322, 20618, 10943, 198, 220, 220, 931, 931, 9748, 198, 12, 220, 29547, 220, 220, 7322, 20618, 19038, 271, 7322, 20618, 19038, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "115535666 - 129\n\n\nBorrow: 1\n 115535666\n 000000129\n- ---------\n 000000007\n\n000000007\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 000000037\n\n000000037\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 000000537\n\n000000537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 000005537\n\n000005537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 000035537\n\n000035537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 000535537\n\n000535537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 005535537\n\n005535537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 015535537\n\n015535537\n\nBorrow: 0\n 115535666\n 000000129\n- ---------\n 115535537\n\n115535537\n", "id": 1239}, {"char_len": 262, "tokens": [21675, 5313, 482, 220, 2491, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 21675, 5313, 198, 220, 220, 931, 2491, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21675, 5313, 198, 220, 220, 931, 2491, 198, 12, 81049, 220, 220, 931, 1927, 271, 931, 1927, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21675, 5313, 198, 220, 220, 931, 2491, 198, 12, 81049, 220, 220, 11194, 1927, 271, 11194, 1927, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21675, 5313, 198, 220, 220, 931, 2491, 198, 12, 81049, 220, 220, 26866, 1927, 271, 26866, 1927, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21675, 5313, 198, 220, 220, 931, 2491, 198, 12, 81049, 220, 220, 21675, 1927, 271, 21675, 1927, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "45785 - 49\n\n\nBorrow: 1\n 45785\n 00049\n- -----\n 00006\n\n00006\n\nBorrow: 0\n 45785\n 00049\n- -----\n 00036\n\n00036\n\nBorrow: 0\n 45785\n 00049\n- -----\n 00736\n\n00736\n\nBorrow: 0\n 45785\n 00049\n- -----\n 05736\n\n05736\n\nBorrow: 0\n 45785\n 00049\n- -----\n 45736\n\n45736\n", "id": 1240}, {"char_len": 343, "tokens": [9335, 13341, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 18887, 271, 931, 18887, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 12245, 271, 931, 12245, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 4119, 12245, 271, 4119, 12245, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 20945, 12245, 271, 20945, 12245, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 13341, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 9335, 12245, 271, 9335, 12245, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "141241 - 10\n\n\nBorrow: 0\n 141241\n 000010\n- ------\n 000001\n\n000001\n\nBorrow: 0\n 141241\n 000010\n- ------\n 000031\n\n000031\n\nBorrow: 0\n 141241\n 000010\n- ------\n 000231\n\n000231\n\nBorrow: 0\n 141241\n 000010\n- ------\n 001231\n\n001231\n\nBorrow: 0\n 141241\n 000010\n- ------\n 041231\n\n041231\n\nBorrow: 0\n 141241\n 000010\n- ------\n 141231\n\n141231\n", "id": 1241}, {"char_len": 191, "tokens": [11056, 24, 482, 220, 1682, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11056, 24, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 931, 15, 271, 931, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11056, 24, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 8759, 15, 271, 8759, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11056, 24, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 8759, 15, 271, 8759, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11056, 24, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 7854, 15, 271, 7854, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2069 - 29\n\n\nBorrow: 0\n 2069\n 0029\n- ----\n 0000\n\n0000\n\nBorrow: 0\n 2069\n 0029\n- ----\n 0040\n\n0040\n\nBorrow: 0\n 2069\n 0029\n- ----\n 0040\n\n0040\n\nBorrow: 0\n 2069\n 0029\n- ----\n 2040\n\n2040\n", "id": 1242}, {"char_len": 343, "tokens": [10898, 24850, 482, 220, 5925, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 931, 11194, 271, 931, 11194, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 931, 27311, 271, 931, 27311, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 931, 22207, 271, 931, 22207, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 11030, 22207, 271, 11030, 22207, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 26247, 22207, 271, 26247, 22207, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 24850, 198, 220, 220, 931, 24443, 198, 12, 11556, 7233, 220, 220, 18322, 22207, 271, 18322, 22207, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "377078 - 91\n\n\nBorrow: 0\n 377078\n 000091\n- ------\n 000007\n\n000007\n\nBorrow: 1\n 377078\n 000091\n- ------\n 000087\n\n000087\n\nBorrow: 1\n 377078\n 000091\n- ------\n 000987\n\n000987\n\nBorrow: 0\n 377078\n 000091\n- ------\n 006987\n\n006987\n\nBorrow: 0\n 377078\n 000091\n- ------\n 076987\n\n076987\n\nBorrow: 0\n 377078\n 000091\n- ------\n 376987\n\n376987\n", "id": 1243}, {"char_len": 344, "tokens": [14870, 20417, 482, 220, 6804, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 931, 11194, 271, 931, 11194, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 931, 23102, 271, 931, 23102, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 931, 24375, 271, 931, 24375, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 8759, 24375, 271, 8759, 24375, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 20078, 24375, 271, 20078, 24375, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14870, 20417, 198, 220, 220, 931, 6804, 198, 12, 11556, 7233, 220, 220, 14870, 24375, 271, 14870, 24375, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "444804 - 127\n\n\nBorrow: 1\n 444804\n 000127\n- ------\n 000007\n\n000007\n\nBorrow: 1\n 444804\n 000127\n- ------\n 000077\n\n000077\n\nBorrow: 0\n 444804\n 000127\n- ------\n 000677\n\n000677\n\nBorrow: 0\n 444804\n 000127\n- ------\n 004677\n\n004677\n\nBorrow: 0\n 444804\n 000127\n- ------\n 044677\n\n044677\n\nBorrow: 0\n 444804\n 000127\n- ------\n 444677\n\n444677\n", "id": 1244}, {"char_len": 79, "tokens": [777, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 777, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 2545, 271, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 777, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 2545, 271, 2545, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "19 - 10\n\n\nBorrow: 0\n 19\n 10\n- --\n 09\n\n09\n\nBorrow: 0\n 19\n 10\n- --\n 09\n\n09\n", "id": 1245}, {"char_len": 130, "tokens": [10861, 482, 220, 2790, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10861, 198, 220, 220, 24222, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 198, 220, 220, 24222, 198, 12, 55023, 220, 220, 21641, 271, 21641, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 198, 220, 220, 24222, 198, 12, 55023, 220, 220, 9390, 271, 9390, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "172 - 46\n\n\nBorrow: 1\n 172\n 046\n- ---\n 006\n\n006\n\nBorrow: 0\n 172\n 046\n- ---\n 026\n\n026\n\nBorrow: 0\n 172\n 046\n- ---\n 126\n\n126\n", "id": 1246}, {"char_len": 130, "tokens": [23629, 482, 220, 1644, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23629, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23629, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 22679, 271, 22679, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23629, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 17419, 271, 17419, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "908 - 33\n\n\nBorrow: 0\n 908\n 033\n- ---\n 005\n\n005\n\nBorrow: 1\n 908\n 033\n- ---\n 075\n\n075\n\nBorrow: 0\n 908\n 033\n- ---\n 875\n\n875\n", "id": 1247}, {"char_len": 437, "tokens": [10350, 10680, 15, 482, 220, 20907, 843, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 931, 931, 23, 271, 931, 931, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 931, 4119, 23, 271, 931, 4119, 23, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 931, 24443, 23, 271, 931, 24443, 23, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 931, 24380, 23, 271, 931, 24380, 23, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 13858, 24380, 23, 271, 13858, 24380, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 23273, 24380, 23, 271, 23273, 24380, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10350, 10680, 15, 198, 220, 220, 11436, 22529, 17, 198, 12, 39707, 220, 220, 9748, 24380, 23, 271, 9748, 24380, 23, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1381650 - 85732\n\n\nBorrow: 1\n 1381650\n 0085732\n- -------\n 0000008\n\n0000008\n\nBorrow: 0\n 1381650\n 0085732\n- -------\n 0000018\n\n0000018\n\nBorrow: 1\n 1381650\n 0085732\n- -------\n 0000918\n\n0000918\n\nBorrow: 1\n 1381650\n 0085732\n- -------\n 0005918\n\n0005918\n\nBorrow: 1\n 1381650\n 0085732\n- -------\n 0095918\n\n0095918\n\nBorrow: 0\n 1381650\n 0085732\n- -------\n 0295918\n\n0295918\n\nBorrow: 0\n 1381650\n 0085732\n- -------\n 1295918\n\n1295918\n", "id": 1248}, {"char_len": 770, "tokens": [6889, 25822, 26026, 16, 482, 220, 8874, 2131, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 931, 931, 21, 271, 931, 931, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 931, 931, 21, 271, 931, 931, 931, 21, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 931, 13837, 21, 271, 931, 931, 13837, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 931, 17814, 21, 271, 931, 931, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 6268, 17814, 21, 271, 931, 6268, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 25779, 17814, 21, 271, 931, 25779, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 931, 25747, 17814, 21, 271, 931, 25747, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 6268, 25747, 17814, 21, 271, 6268, 25747, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 6268, 25747, 17814, 21, 271, 6268, 25747, 17814, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 25822, 26026, 16, 198, 220, 220, 931, 4119, 13078, 20, 198, 12, 31423, 220, 220, 6889, 25747, 17814, 21, 271, 6889, 25747, 17814, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 349, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1038749261 - 12455\n\n\nBorrow: 1\n 1038749261\n 0000012455\n- ----------\n 0000000006\n\n0000000006\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0000000006\n\n0000000006\n\nBorrow: 1\n 1038749261\n 0000012455\n- ----------\n 0000000806\n\n0000000806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0000006806\n\n0000006806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0000036806\n\n0000036806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0000736806\n\n0000736806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0008736806\n\n0008736806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0038736806\n\n0038736806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 0038736806\n\n0038736806\n\nBorrow: 0\n 1038749261\n 0000012455\n- ----------\n 1038736806\n\n1038736806\n", "id": 1249}, {"char_len": 262, "tokens": [15666, 1987, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 1987, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 1987, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 1987, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 6268, 2318, 271, 6268, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 1987, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 24254, 2318, 271, 24254, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15666, 1987, 198, 220, 220, 931, 966, 198, 12, 81049, 220, 220, 15666, 2318, 271, 15666, 2318, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "26338 - 30\n\n\nBorrow: 0\n 26338\n 00030\n- -----\n 00008\n\n00008\n\nBorrow: 0\n 26338\n 00030\n- -----\n 00008\n\n00008\n\nBorrow: 0\n 26338\n 00030\n- -----\n 00308\n\n00308\n\nBorrow: 0\n 26338\n 00030\n- -----\n 06308\n\n06308\n\nBorrow: 0\n 26338\n 00030\n- -----\n 26308\n\n26308\n", "id": 1250}, {"char_len": 130, "tokens": [6550, 482, 220, 3174, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6550, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6550, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 20478, 271, 20478, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6550, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 20478, 271, 20478, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "105 - 41\n\n\nBorrow: 0\n 105\n 041\n- ---\n 004\n\n004\n\nBorrow: 1\n 105\n 041\n- ---\n 064\n\n064\n\nBorrow: 0\n 105\n 041\n- ---\n 064\n\n064\n", "id": 1251}, {"char_len": 131, "tokens": [6843, 482, 220, 9639, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6843, 198, 220, 220, 9639, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6843, 198, 220, 220, 9639, 198, 12, 55023, 220, 220, 26866, 271, 26866, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6843, 198, 220, 220, 9639, 198, 12, 55023, 220, 220, 10895, 271, 10895, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "360 - 203\n\n\nBorrow: 1\n 360\n 203\n- ---\n 007\n\n007\n\nBorrow: 0\n 360\n 203\n- ---\n 057\n\n057\n\nBorrow: 0\n 360\n 203\n- ---\n 157\n\n157\n", "id": 1252}, {"char_len": 193, "tokens": [18633, 17, 482, 220, 8929, 15, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18633, 17, 198, 220, 220, 8929, 15, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18633, 17, 198, 220, 220, 8929, 15, 198, 12, 11556, 198, 220, 220, 8759, 17, 271, 8759, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18633, 17, 198, 220, 220, 8929, 15, 198, 12, 11556, 198, 220, 220, 26195, 17, 271, 26195, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18633, 17, 198, 220, 220, 8929, 15, 198, 12, 11556, 198, 220, 220, 6393, 17, 271, 6393, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 115, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3382 - 1440\n\n\nBorrow: 0\n 3382\n 1440\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 3382\n 1440\n- ----\n 0042\n\n0042\n\nBorrow: 1\n 3382\n 1440\n- ----\n 0942\n\n0942\n\nBorrow: 0\n 3382\n 1440\n- ----\n 1942\n\n1942\n", "id": 1253}, {"char_len": 130, "tokens": [10898, 482, 220, 3174, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 23110, 271, 23110, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10898, 198, 220, 220, 20945, 198, 12, 55023, 220, 220, 17014, 271, 17014, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "377 - 41\n\n\nBorrow: 0\n 377\n 041\n- ---\n 006\n\n006\n\nBorrow: 0\n 377\n 041\n- ---\n 036\n\n036\n\nBorrow: 0\n 377\n 041\n- ---\n 336\n\n336\n", "id": 1254}, {"char_len": 768, "tokens": [12425, 25303, 23282, 18, 482, 220, 21511, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 931, 931, 22, 271, 931, 931, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 931, 6726, 22, 271, 931, 931, 6726, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 931, 23439, 22, 271, 931, 931, 23439, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 931, 23624, 22, 271, 931, 931, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 6726, 23624, 22, 271, 931, 6726, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 23439, 23624, 22, 271, 931, 23439, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 931, 25303, 23624, 22, 271, 931, 25303, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 4119, 25303, 23624, 22, 271, 4119, 25303, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 11592, 25303, 23624, 22, 271, 11592, 25303, 23624, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12425, 25303, 23282, 18, 198, 220, 220, 931, 931, 23904, 21, 198, 12, 31423, 220, 220, 12425, 25303, 23624, 22, 271, 12425, 25303, 23624, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 348, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2218728213 - 486\n\n\nBorrow: 1\n 2218728213\n 0000000486\n- ----------\n 0000000007\n\n0000000007\n\nBorrow: 1\n 2218728213\n 0000000486\n- ----------\n 0000000027\n\n0000000027\n\nBorrow: 1\n 2218728213\n 0000000486\n- ----------\n 0000000727\n\n0000000727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0000007727\n\n0000007727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0000027727\n\n0000027727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0000727727\n\n0000727727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0008727727\n\n0008727727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0018727727\n\n0018727727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 0218727727\n\n0218727727\n\nBorrow: 0\n 2218728213\n 0000000486\n- ----------\n 2218727727\n\n2218727727\n", "id": 1255}, {"char_len": 191, "tokens": [12405, 20, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 12405, 20, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12405, 20, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12405, 20, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12405, 20, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 3101, 16, 271, 3101, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3015 - 14\n\n\nBorrow: 0\n 3015\n 0014\n- ----\n 0001\n\n0001\n\nBorrow: 0\n 3015\n 0014\n- ----\n 0001\n\n0001\n\nBorrow: 0\n 3015\n 0014\n- ----\n 0001\n\n0001\n\nBorrow: 0\n 3015\n 0014\n- ----\n 3001\n\n3001\n", "id": 1256}, {"char_len": 130, "tokens": [14205, 482, 220, 1272, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 198, 220, 220, 12505, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 198, 220, 220, 12505, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 198, 220, 220, 12505, 198, 12, 55023, 220, 220, 11056, 271, 11056, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "246 - 40\n\n\nBorrow: 0\n 246\n 040\n- ---\n 006\n\n006\n\nBorrow: 0\n 246\n 040\n- ---\n 006\n\n006\n\nBorrow: 0\n 246\n 040\n- ---\n 206\n\n206\n", "id": 1257}, {"char_len": 192, "tokens": [20165, 23, 482, 220, 17337, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20165, 23, 198, 220, 220, 20945, 16, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20165, 23, 198, 220, 220, 20945, 16, 198, 12, 11556, 198, 220, 220, 6268, 22, 271, 6268, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20165, 23, 198, 220, 220, 20945, 16, 198, 12, 11556, 198, 220, 220, 25202, 22, 271, 25202, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20165, 23, 198, 220, 220, 20945, 16, 198, 12, 11556, 198, 220, 220, 18252, 22, 271, 18252, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4348 - 411\n\n\nBorrow: 0\n 4348\n 0411\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 4348\n 0411\n- ----\n 0037\n\n0037\n\nBorrow: 1\n 4348\n 0411\n- ----\n 0937\n\n0937\n\nBorrow: 0\n 4348\n 0411\n- ----\n 3937\n\n3937\n", "id": 1258}, {"char_len": 191, "tokens": [10617, 21, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10617, 21, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 931, 19, 271, 931, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10617, 21, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 13858, 19, 271, 13858, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10617, 21, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 25307, 19, 271, 25307, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10617, 21, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 21125, 19, 271, 21125, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4506 - 12\n\n\nBorrow: 0\n 4506\n 0012\n- ----\n 0004\n\n0004\n\nBorrow: 1\n 4506\n 0012\n- ----\n 0094\n\n0094\n\nBorrow: 0\n 4506\n 0012\n- ----\n 0494\n\n0494\n\nBorrow: 0\n 4506\n 0012\n- ----\n 4494\n\n4494\n", "id": 1259}, {"char_len": 437, "tokens": [20698, 20068, 22, 482, 220, 11227, 1758, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 931, 931, 17, 271, 931, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 931, 8759, 17, 271, 931, 8759, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 931, 26720, 17, 271, 931, 26720, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 931, 12910, 17, 271, 931, 12910, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 8504, 12910, 17, 271, 8504, 12910, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 26421, 12910, 17, 271, 26421, 12910, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20698, 20068, 22, 198, 220, 220, 6726, 4513, 20, 198, 12, 39707, 220, 220, 19498, 12910, 17, 271, 19498, 12910, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3975077 - 21235\n\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 0000002\n\n0000002\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 0000042\n\n0000042\n\nBorrow: 1\n 3975077\n 0021235\n- -------\n 0000842\n\n0000842\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 0003842\n\n0003842\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 0053842\n\n0053842\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 0953842\n\n0953842\n\nBorrow: 0\n 3975077\n 0021235\n- -------\n 3953842\n\n3953842\n", "id": 1260}, {"char_len": 79, "tokens": [5958, 482, 220, 1591, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5958, 198, 220, 220, 1591, 198, 12, 40614, 220, 220, 2304, 271, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5958, 198, 220, 220, 1591, 198, 12, 40614, 220, 220, 1774, 271, 1774, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "73 - 28\n\n\nBorrow: 1\n 73\n 28\n- --\n 05\n\n05\n\nBorrow: 0\n 73\n 28\n- --\n 45\n\n45\n", "id": 1261}, {"char_len": 130, "tokens": [26366, 482, 220, 1644, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 26366, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26366, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 23273, 271, 23273, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26366, 198, 220, 220, 13103, 198, 12, 55023, 220, 220, 25344, 271, 25344, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "962 - 33\n\n\nBorrow: 1\n 962\n 033\n- ---\n 009\n\n009\n\nBorrow: 0\n 962\n 033\n- ---\n 029\n\n029\n\nBorrow: 0\n 962\n 033\n- ---\n 929\n\n929\n", "id": 1262}, {"char_len": 79, "tokens": [1682, 482, 220, 1187, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1682, 198, 220, 220, 1187, 198, 12, 40614, 220, 220, 2304, 271, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1682, 198, 220, 220, 1187, 198, 12, 40614, 220, 220, 2304, 271, 2304, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "29 - 24\n\n\nBorrow: 0\n 29\n 24\n- --\n 05\n\n05\n\nBorrow: 0\n 29\n 24\n- --\n 05\n\n05\n", "id": 1263}, {"char_len": 345, "tokens": [16104, 20711, 482, 220, 5162, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 931, 931, 271, 931, 931, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 931, 17819, 271, 931, 17819, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 931, 18712, 271, 931, 18712, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 6726, 18712, 271, 6726, 18712, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 11531, 18712, 271, 11531, 18712, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16104, 20711, 198, 220, 220, 4119, 26366, 198, 12, 11556, 7233, 220, 220, 13384, 18712, 271, 13384, 18712, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "314532 - 1962\n\n\nBorrow: 0\n 314532\n 001962\n- ------\n 000000\n\n000000\n\nBorrow: 1\n 314532\n 001962\n- ------\n 000070\n\n000070\n\nBorrow: 1\n 314532\n 001962\n- ------\n 000570\n\n000570\n\nBorrow: 0\n 314532\n 001962\n- ------\n 002570\n\n002570\n\nBorrow: 0\n 314532\n 001962\n- ------\n 012570\n\n012570\n\nBorrow: 0\n 314532\n 001962\n- ------\n 312570\n\n312570\n", "id": 1264}, {"char_len": 191, "tokens": [22895, 18, 482, 220, 3971, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22895, 18, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22895, 18, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 6268, 17, 271, 6268, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22895, 18, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 25210, 17, 271, 25210, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22895, 18, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 22663, 17, 271, 22663, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5583 - 51\n\n\nBorrow: 0\n 5583\n 0051\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 5583\n 0051\n- ----\n 0032\n\n0032\n\nBorrow: 0\n 5583\n 0051\n- ----\n 0532\n\n0532\n\nBorrow: 0\n 5583\n 0051\n- ----\n 5532\n\n5532\n", "id": 1265}, {"char_len": 192, "tokens": [10914, 15, 482, 220, 10350, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10914, 15, 198, 220, 220, 16368, 23, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10914, 15, 198, 220, 220, 16368, 23, 198, 12, 11556, 198, 220, 220, 11030, 17, 271, 11030, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 15, 198, 220, 220, 16368, 23, 198, 12, 11556, 198, 220, 220, 25921, 17, 271, 25921, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10914, 15, 198, 220, 220, 16368, 23, 198, 12, 11556, 198, 220, 220, 4146, 17, 271, 4146, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2700 - 138\n\n\nBorrow: 1\n 2700\n 0138\n- ----\n 0002\n\n0002\n\nBorrow: 1\n 2700\n 0138\n- ----\n 0062\n\n0062\n\nBorrow: 0\n 2700\n 0138\n- ----\n 0562\n\n0562\n\nBorrow: 0\n 2700\n 0138\n- ----\n 2562\n\n2562\n", "id": 1266}, {"char_len": 437, "tokens": [3753, 25822, 21, 482, 220, 9390, 972, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 931, 931, 23, 271, 931, 931, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 931, 6726, 23, 271, 931, 6726, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 931, 11531, 23, 271, 931, 11531, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 931, 21018, 23, 271, 931, 21018, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 11194, 21018, 23, 271, 11194, 21018, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 28384, 21018, 23, 271, 28384, 21018, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3753, 25822, 21, 198, 220, 220, 4119, 15602, 23, 198, 12, 39707, 220, 220, 4468, 21018, 23, 271, 4468, 21018, 23, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1988746 - 12618\n\n\nBorrow: 1\n 1988746\n 0012618\n- -------\n 0000008\n\n0000008\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 0000028\n\n0000028\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 0000128\n\n0000128\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 0006128\n\n0006128\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 0076128\n\n0076128\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 0976128\n\n0976128\n\nBorrow: 0\n 1988746\n 0012618\n- -------\n 1976128\n\n1976128\n", "id": 1267}, {"char_len": 79, "tokens": [508, 482, 220, 975, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 508, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2705, 271, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 508, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2705, 271, 2705, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "20 - 14\n\n\nBorrow: 1\n 20\n 14\n- --\n 06\n\n06\n\nBorrow: 0\n 20\n 14\n- --\n 06\n\n06\n", "id": 1268}, {"char_len": 435, "tokens": [21164, 13103, 15, 482, 220, 19631, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 931, 931, 24, 271, 931, 931, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 931, 6268, 24, 271, 931, 6268, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 931, 25202, 24, 271, 931, 25202, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 931, 24242, 24, 271, 931, 24242, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 6726, 24242, 24, 271, 6726, 24242, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 11531, 24242, 24, 271, 11531, 24242, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21164, 13103, 15, 198, 220, 220, 931, 21602, 16, 198, 12, 39707, 220, 220, 8358, 24242, 24, 271, 8358, 24242, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5130330 - 391\n\n\nBorrow: 1\n 5130330\n 0000391\n- -------\n 0000009\n\n0000009\n\nBorrow: 1\n 5130330\n 0000391\n- -------\n 0000039\n\n0000039\n\nBorrow: 1\n 5130330\n 0000391\n- -------\n 0000939\n\n0000939\n\nBorrow: 1\n 5130330\n 0000391\n- -------\n 0009939\n\n0009939\n\nBorrow: 0\n 5130330\n 0000391\n- -------\n 0029939\n\n0029939\n\nBorrow: 0\n 5130330\n 0000391\n- -------\n 0129939\n\n0129939\n\nBorrow: 0\n 5130330\n 0000391\n- -------\n 5129939\n\n5129939\n", "id": 1269}, {"char_len": 535, "tokens": [8258, 16723, 1758, 482, 220, 1032, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 931, 1313, 271, 931, 931, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 8759, 1313, 271, 931, 8759, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 19592, 1313, 271, 931, 19592, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 16723, 1313, 271, 931, 16723, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 931, 16723, 1313, 271, 931, 16723, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 17819, 16723, 1313, 271, 17819, 16723, 1313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 16723, 1758, 198, 220, 220, 931, 931, 1032, 198, 12, 90238, 220, 220, 8258, 16723, 1313, 271, 8258, 16723, 1313, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "17032435 - 13\n\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00000022\n\n00000022\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00000422\n\n00000422\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00002422\n\n00002422\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00032422\n\n00032422\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 00032422\n\n00032422\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 07032422\n\n07032422\n\nBorrow: 0\n 17032435\n 00000013\n- --------\n 17032422\n\n17032422\n", "id": 1270}, {"char_len": 264, "tokens": [9992, 2096, 482, 220, 25693, 22, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9992, 2096, 198, 220, 220, 28384, 1114, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9992, 2096, 198, 220, 220, 28384, 1114, 198, 12, 81049, 220, 220, 931, 1544, 271, 931, 1544, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9992, 2096, 198, 220, 220, 28384, 1114, 198, 12, 81049, 220, 220, 11436, 1544, 271, 11436, 1544, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9992, 2096, 198, 220, 220, 28384, 1114, 198, 12, 81049, 220, 220, 24824, 1544, 271, 24824, 1544, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9992, 2096, 198, 220, 220, 28384, 1114, 198, 12, 81049, 220, 220, 24824, 1544, 271, 24824, 1544, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "15544 - 9717\n\n\nBorrow: 1\n 15544\n 09717\n- -----\n 00007\n\n00007\n\nBorrow: 0\n 15544\n 09717\n- -----\n 00027\n\n00027\n\nBorrow: 1\n 15544\n 09717\n- -----\n 00827\n\n00827\n\nBorrow: 1\n 15544\n 09717\n- -----\n 05827\n\n05827\n\nBorrow: 0\n 15544\n 09717\n- -----\n 05827\n\n05827\n", "id": 1271}, {"char_len": 262, "tokens": [5037, 4767, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 4767, 198, 220, 220, 931, 508, 198, 12, 81049, 220, 220, 931, 2705, 271, 931, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 4767, 198, 220, 220, 931, 508, 198, 12, 81049, 220, 220, 931, 3487, 271, 931, 3487, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 4767, 198, 220, 220, 931, 508, 198, 12, 81049, 220, 220, 4119, 3487, 271, 4119, 3487, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 4767, 198, 220, 220, 931, 508, 198, 12, 81049, 220, 220, 10731, 3487, 271, 10731, 3487, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 4767, 198, 220, 220, 931, 508, 198, 12, 81049, 220, 220, 5037, 3487, 271, 5037, 3487, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "11176 - 20\n\n\nBorrow: 0\n 11176\n 00020\n- -----\n 00006\n\n00006\n\nBorrow: 0\n 11176\n 00020\n- -----\n 00056\n\n00056\n\nBorrow: 0\n 11176\n 00020\n- -----\n 00156\n\n00156\n\nBorrow: 0\n 11176\n 00020\n- -----\n 01156\n\n01156\n\nBorrow: 0\n 11176\n 00020\n- -----\n 11156\n\n11156\n", "id": 1272}, {"char_len": 647, "tokens": [24876, 11139, 16482, 482, 220, 12463, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 931, 11030, 271, 931, 931, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 931, 23110, 271, 931, 931, 23110, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 931, 9795, 271, 931, 931, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 931, 9795, 271, 931, 931, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 11139, 9795, 271, 931, 11139, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 931, 11139, 9795, 271, 931, 11139, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 4119, 11139, 9795, 271, 4119, 11139, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 24508, 11139, 9795, 271, 24508, 11139, 9795, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24876, 11139, 16482, 198, 220, 220, 931, 931, 12463, 198, 12, 220, 29547, 220, 220, 24876, 11139, 9795, 271, 24876, 11139, 9795, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "771020352 - 216\n\n\nBorrow: 1\n 771020352\n 000000216\n- ---------\n 000000006\n\n000000006\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 000000036\n\n000000036\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 000000136\n\n000000136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 000000136\n\n000000136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 000020136\n\n000020136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 000020136\n\n000020136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 001020136\n\n001020136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 071020136\n\n071020136\n\nBorrow: 0\n 771020352\n 000000216\n- ---------\n 771020136\n\n771020136\n", "id": 1273}, {"char_len": 343, "tokens": [10336, 24962, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 22534, 271, 931, 22534, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 931, 25339, 271, 931, 25339, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 8759, 25339, 271, 8759, 25339, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 26720, 25339, 271, 26720, 25339, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10336, 24962, 198, 220, 220, 931, 7755, 198, 12, 11556, 7233, 220, 220, 10336, 25339, 271, 10336, 25339, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "184891 - 10\n\n\nBorrow: 0\n 184891\n 000010\n- ------\n 000001\n\n000001\n\nBorrow: 0\n 184891\n 000010\n- ------\n 000081\n\n000081\n\nBorrow: 0\n 184891\n 000010\n- ------\n 000881\n\n000881\n\nBorrow: 0\n 184891\n 000010\n- ------\n 004881\n\n004881\n\nBorrow: 0\n 184891\n 000010\n- ------\n 084881\n\n084881\n\nBorrow: 0\n 184891\n 000010\n- ------\n 184881\n\n184881\n", "id": 1274}, {"char_len": 79, "tokens": [972, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 972, 198, 220, 220, 806, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 972, 198, 220, 220, 806, 198, 12, 40614, 220, 220, 2589, 271, 2589, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "18 - 11\n\n\nBorrow: 0\n 18\n 11\n- --\n 07\n\n07\n\nBorrow: 0\n 18\n 11\n- --\n 07\n\n07\n", "id": 1275}, {"char_len": 79, "tokens": [966, 482, 220, 1419, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 966, 198, 220, 220, 1419, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 966, 198, 220, 220, 1419, 198, 12, 40614, 220, 220, 2589, 271, 2589, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "30 - 23\n\n\nBorrow: 1\n 30\n 23\n- --\n 07\n\n07\n\nBorrow: 0\n 30\n 23\n- --\n 07\n\n07\n", "id": 1276}, {"char_len": 535, "tokens": [25168, 25016, 966, 482, 220, 3080, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 931, 931, 2839, 271, 931, 931, 2839, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 931, 931, 5495, 271, 931, 931, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 931, 6268, 5495, 271, 931, 6268, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 931, 20063, 5495, 271, 931, 20063, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 931, 23848, 5495, 271, 931, 23848, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 4119, 23848, 5495, 271, 4119, 23848, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 24443, 23848, 5495, 271, 24443, 23848, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25168, 25016, 966, 198, 220, 220, 931, 931, 3080, 198, 12, 90238, 220, 220, 25168, 23848, 5495, 271, 25168, 23848, 5495, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "69182430 - 67\n\n\nBorrow: 1\n 69182430\n 00000067\n- --------\n 00000003\n\n00000003\n\nBorrow: 1\n 69182430\n 00000067\n- --------\n 00000063\n\n00000063\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 00000363\n\n00000363\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 00002363\n\n00002363\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 00082363\n\n00082363\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 00182363\n\n00182363\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 09182363\n\n09182363\n\nBorrow: 0\n 69182430\n 00000067\n- --------\n 69182363\n\n69182363\n", "id": 1277}, {"char_len": 130, "tokens": [19498, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 19498, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19498, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 26478, 271, 26478, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19498, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 12676, 271, 12676, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "395 - 30\n\n\nBorrow: 0\n 395\n 030\n- ---\n 005\n\n005\n\nBorrow: 0\n 395\n 030\n- ---\n 065\n\n065\n\nBorrow: 0\n 395\n 030\n- ---\n 365\n\n365\n", "id": 1278}, {"char_len": 79, "tokens": [3264, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 3264, 198, 220, 220, 966, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3264, 198, 220, 220, 966, 198, 12, 40614, 220, 220, 2614, 271, 2614, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "98 - 30\n\n\nBorrow: 0\n 98\n 30\n- --\n 08\n\n08\n\nBorrow: 0\n 98\n 30\n- --\n 68\n\n68\n", "id": 1279}, {"char_len": 264, "tokens": [15805, 605, 482, 220, 18415, 15, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 15805, 605, 198, 220, 220, 24130, 1135, 198, 12, 81049, 220, 220, 931, 410, 271, 931, 410, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15805, 605, 198, 220, 220, 24130, 1135, 198, 12, 81049, 220, 220, 931, 1399, 271, 931, 1399, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15805, 605, 198, 220, 220, 24130, 1135, 198, 12, 81049, 220, 220, 13858, 1399, 271, 13858, 1399, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15805, 605, 198, 220, 220, 24130, 1135, 198, 12, 81049, 220, 220, 27325, 1399, 271, 27325, 1399, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15805, 605, 198, 220, 220, 24130, 1135, 198, 12, 81049, 220, 220, 16955, 1399, 271, 16955, 1399, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "32210 - 5250\n\n\nBorrow: 0\n 32210\n 05250\n- -----\n 00000\n\n00000\n\nBorrow: 1\n 32210\n 05250\n- -----\n 00060\n\n00060\n\nBorrow: 1\n 32210\n 05250\n- -----\n 00960\n\n00960\n\nBorrow: 1\n 32210\n 05250\n- -----\n 06960\n\n06960\n\nBorrow: 0\n 32210\n 05250\n- -----\n 26960\n\n26960\n", "id": 1280}, {"char_len": 191, "tokens": [11387, 24, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11387, 24, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11387, 24, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 13858, 22, 271, 13858, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11387, 24, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 27033, 22, 271, 27033, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11387, 24, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 15537, 22, 271, 15537, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2609 - 12\n\n\nBorrow: 0\n 2609\n 0012\n- ----\n 0007\n\n0007\n\nBorrow: 1\n 2609\n 0012\n- ----\n 0097\n\n0097\n\nBorrow: 0\n 2609\n 0012\n- ----\n 0597\n\n0597\n\nBorrow: 0\n 2609\n 0012\n- ----\n 2597\n\n2597\n", "id": 1281}, {"char_len": 436, "tokens": [23171, 13236, 17, 482, 220, 25875, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 931, 931, 15, 271, 931, 931, 15, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 931, 11436, 15, 271, 931, 11436, 15, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 931, 23904, 15, 271, 931, 23904, 15, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 931, 19746, 15, 271, 931, 19746, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 11030, 19746, 15, 271, 11030, 19746, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 26956, 19746, 15, 271, 26956, 19746, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23171, 13236, 17, 198, 220, 220, 931, 25875, 17, 198, 12, 39707, 220, 220, 25251, 19746, 15, 271, 25251, 19746, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "7873032 - 9552\n\n\nBorrow: 0\n 7873032\n 0009552\n- -------\n 0000000\n\n0000000\n\nBorrow: 1\n 7873032\n 0009552\n- -------\n 0000080\n\n0000080\n\nBorrow: 1\n 7873032\n 0009552\n- -------\n 0000480\n\n0000480\n\nBorrow: 1\n 7873032\n 0009552\n- -------\n 0003480\n\n0003480\n\nBorrow: 0\n 7873032\n 0009552\n- -------\n 0063480\n\n0063480\n\nBorrow: 0\n 7873032\n 0009552\n- -------\n 0863480\n\n0863480\n\nBorrow: 0\n 7873032\n 0009552\n- -------\n 7863480\n\n7863480\n", "id": 1282}, {"char_len": 130, "tokens": [5162, 482, 220, 5958, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5162, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 6268, 271, 6268, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5162, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 20063, 271, 20063, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5162, 198, 220, 220, 25779, 198, 12, 55023, 220, 220, 4513, 271, 4513, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "196 - 73\n\n\nBorrow: 0\n 196\n 073\n- ---\n 003\n\n003\n\nBorrow: 0\n 196\n 073\n- ---\n 023\n\n023\n\nBorrow: 0\n 196\n 073\n- ---\n 123\n\n123\n", "id": 1283}, {"char_len": 192, "tokens": [9870, 22, 482, 220, 4278, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9870, 22, 198, 220, 220, 7755, 17, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9870, 22, 198, 220, 220, 7755, 17, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9870, 22, 198, 220, 220, 7755, 17, 198, 12, 11556, 198, 220, 220, 11139, 20, 271, 11139, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9870, 22, 198, 220, 220, 7755, 17, 198, 12, 11556, 198, 220, 220, 8610, 20, 271, 8610, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2307 - 102\n\n\nBorrow: 0\n 2307\n 0102\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 2307\n 0102\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 2307\n 0102\n- ----\n 0205\n\n0205\n\nBorrow: 0\n 2307\n 0102\n- ----\n 2205\n\n2205\n", "id": 1284}, {"char_len": 262, "tokens": [15966, 1114, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 15966, 1114, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 2304, 271, 931, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15966, 1114, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 2304, 271, 931, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15966, 1114, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 11436, 2304, 271, 11436, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15966, 1114, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 24824, 2304, 271, 24824, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15966, 1114, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 15966, 2304, 271, 15966, 2304, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "25817 - 12\n\n\nBorrow: 0\n 25817\n 00012\n- -----\n 00005\n\n00005\n\nBorrow: 0\n 25817\n 00012\n- -----\n 00005\n\n00005\n\nBorrow: 0\n 25817\n 00012\n- -----\n 00805\n\n00805\n\nBorrow: 0\n 25817\n 00012\n- -----\n 05805\n\n05805\n\nBorrow: 0\n 25817\n 00012\n- -----\n 25805\n\n25805\n", "id": 1285}, {"char_len": 346, "tokens": [5037, 25354, 482, 220, 7261, 2304, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 931, 8759, 271, 931, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 931, 26720, 271, 931, 26720, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 931, 24313, 271, 931, 24313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 931, 24313, 271, 931, 24313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 931, 24313, 271, 931, 24313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 25354, 198, 220, 220, 10731, 10866, 198, 12, 11556, 7233, 220, 220, 1041, 24313, 271, 1041, 24313, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "111889 - 11205\n\n\nBorrow: 0\n 111889\n 011205\n- ------\n 000004\n\n000004\n\nBorrow: 0\n 111889\n 011205\n- ------\n 000084\n\n000084\n\nBorrow: 0\n 111889\n 011205\n- ------\n 000684\n\n000684\n\nBorrow: 0\n 111889\n 011205\n- ------\n 000684\n\n000684\n\nBorrow: 0\n 111889\n 011205\n- ------\n 000684\n\n000684\n\nBorrow: 0\n 111889\n 011205\n- ------\n 100684\n\n100684\n", "id": 1286}, {"char_len": 345, "tokens": [23178, 26088, 482, 220, 9795, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 931, 18887, 271, 931, 18887, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 931, 20823, 271, 931, 20823, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 11030, 20823, 271, 11030, 20823, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 11030, 20823, 271, 11030, 20823, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23178, 26088, 198, 220, 220, 4119, 18509, 198, 12, 11556, 7233, 220, 220, 22397, 20823, 271, 22397, 20823, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "807893 - 1362\n\n\nBorrow: 0\n 807893\n 001362\n- ------\n 000001\n\n000001\n\nBorrow: 0\n 807893\n 001362\n- ------\n 000031\n\n000031\n\nBorrow: 0\n 807893\n 001362\n- ------\n 000531\n\n000531\n\nBorrow: 0\n 807893\n 001362\n- ------\n 006531\n\n006531\n\nBorrow: 0\n 807893\n 001362\n- ------\n 006531\n\n006531\n\nBorrow: 0\n 807893\n 001362\n- ------\n 806531\n\n806531\n", "id": 1287}, {"char_len": 344, "tokens": [14374, 23986, 482, 220, 17590, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 931, 13858, 271, 931, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 931, 13858, 271, 931, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 931, 12378, 271, 931, 12378, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 8504, 12378, 271, 8504, 12378, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 26478, 12378, 271, 26478, 12378, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 23986, 198, 220, 220, 931, 17590, 198, 12, 11556, 7233, 220, 220, 14374, 12378, 271, 14374, 12378, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "265751 - 342\n\n\nBorrow: 1\n 265751\n 000342\n- ------\n 000009\n\n000009\n\nBorrow: 0\n 265751\n 000342\n- ------\n 000009\n\n000009\n\nBorrow: 0\n 265751\n 000342\n- ------\n 000409\n\n000409\n\nBorrow: 0\n 265751\n 000342\n- ------\n 005409\n\n005409\n\nBorrow: 0\n 265751\n 000342\n- ------\n 065409\n\n065409\n\nBorrow: 0\n 265751\n 000342\n- ------\n 265409\n\n265409\n", "id": 1288}, {"char_len": 130, "tokens": [22694, 482, 220, 1419, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22694, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22694, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 26739, 271, 26739, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22694, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 26007, 271, 26007, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "997 - 23\n\n\nBorrow: 0\n 997\n 023\n- ---\n 004\n\n004\n\nBorrow: 0\n 997\n 023\n- ---\n 074\n\n074\n\nBorrow: 0\n 997\n 023\n- ---\n 974\n\n974\n", "id": 1289}, {"char_len": 79, "tokens": [2166, 482, 220, 2618, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2166, 198, 220, 220, 2618, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2166, 198, 220, 220, 2618, 198, 12, 40614, 220, 220, 1721, 271, 1721, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "48 - 47\n\n\nBorrow: 0\n 48\n 47\n- --\n 01\n\n01\n\nBorrow: 0\n 48\n 47\n- --\n 01\n\n01\n", "id": 1290}, {"char_len": 1192, "tokens": [20224, 23505, 16522, 22440, 21, 482, 220, 8610, 20, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 931, 16, 271, 931, 931, 931, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 931, 16, 271, 931, 931, 931, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 16193, 16, 271, 931, 931, 931, 16193, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 13655, 16, 271, 931, 931, 931, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 6268, 13655, 16, 271, 931, 931, 6268, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 17776, 13655, 16, 271, 931, 931, 17776, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 931, 16522, 13655, 16, 271, 931, 931, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 11194, 16522, 13655, 16, 271, 931, 11194, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 11194, 16522, 13655, 16, 271, 931, 11194, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 931, 23505, 16522, 13655, 16, 271, 931, 23505, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 6726, 23505, 16522, 13655, 16, 271, 6726, 23505, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 6726, 23505, 16522, 13655, 16, 271, 6726, 23505, 16522, 13655, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20224, 23505, 16522, 22440, 21, 198, 220, 220, 931, 931, 931, 8610, 20, 198, 12, 33658, 7058, 220, 220, 20224, 23505, 16522, 13655, 16, 271, 20224, 23505, 16522, 13655, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 517, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "6029073438706 - 2205\n\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000000001\n\n0000000000001\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000000001\n\n0000000000001\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000000501\n\n0000000000501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000006501\n\n0000000006501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000036501\n\n0000000036501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000000436501\n\n0000000436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000003436501\n\n0000003436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000073436501\n\n0000073436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0000073436501\n\n0000073436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0009073436501\n\n0009073436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0029073436501\n\n0029073436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 0029073436501\n\n0029073436501\n\nBorrow: 0\n 6029073438706\n 0000000002205\n- -------------\n 6029073436501\n\n6029073436501\n", "id": 1291}, {"char_len": 130, "tokens": [13104, 482, 220, 3391, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 13104, 198, 220, 220, 17776, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 13104, 198, 220, 220, 17776, 198, 12, 55023, 220, 220, 23102, 271, 23102, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13104, 198, 220, 220, 17776, 198, 12, 55023, 220, 220, 24375, 271, 24375, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "720 - 43\n\n\nBorrow: 1\n 720\n 043\n- ---\n 007\n\n007\n\nBorrow: 1\n 720\n 043\n- ---\n 077\n\n077\n\nBorrow: 0\n 720\n 043\n- ---\n 677\n\n677\n", "id": 1292}, {"char_len": 1352, "tokens": [17228, 21975, 11139, 10568, 1399, 482, 220, 14185, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 931, 2437, 271, 931, 931, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 931, 717, 271, 931, 931, 931, 931, 717, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 11436, 717, 271, 931, 931, 931, 11436, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 22000, 717, 271, 931, 931, 931, 22000, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 16884, 717, 271, 931, 931, 931, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 931, 16884, 717, 271, 931, 931, 931, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 11139, 16884, 717, 271, 931, 931, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 931, 11139, 16884, 717, 271, 931, 931, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 8759, 11139, 16884, 717, 271, 931, 8759, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 20078, 11139, 16884, 717, 271, 931, 20078, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 931, 21975, 11139, 16884, 717, 271, 931, 21975, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 6268, 21975, 11139, 16884, 717, 271, 6268, 21975, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 25210, 21975, 11139, 16884, 717, 271, 25210, 21975, 11139, 16884, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 21975, 11139, 10568, 1399, 198, 220, 220, 931, 931, 931, 6726, 2166, 198, 12, 33658, 7233, 220, 220, 17228, 21975, 11139, 16884, 717, 271, 17228, 21975, 11139, 16884, 717, 198], "tokenizer": "cl100k_base", "tokens_len": 555, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "35364402033060 - 248\n\n\nBorrow: 1\n 35364402033060\n 00000000000248\n- --------------\n 00000000000002\n\n00000000000002\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000000000012\n\n00000000000012\n\nBorrow: 1\n 35364402033060\n 00000000000248\n- --------------\n 00000000000812\n\n00000000000812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000000002812\n\n00000000002812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000000032812\n\n00000000032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000000032812\n\n00000000032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000002032812\n\n00000002032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000002032812\n\n00000002032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00000402032812\n\n00000402032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00004402032812\n\n00004402032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00064402032812\n\n00064402032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 00364402032812\n\n00364402032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 05364402032812\n\n05364402032812\n\nBorrow: 0\n 35364402033060\n 00000000000248\n- --------------\n 35364402032812\n\n35364402032812\n", "id": 1293}, {"char_len": 436, "tokens": [6804, 15515, 20, 482, 220, 14261, 16, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 931, 931, 19, 271, 931, 931, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 931, 6726, 19, 271, 931, 6726, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 931, 19222, 19, 271, 931, 19222, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 931, 10674, 19, 271, 931, 10674, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 11194, 10674, 19, 271, 11194, 10674, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 21360, 10674, 19, 271, 21360, 10674, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 15515, 20, 198, 220, 220, 931, 14261, 16, 198, 12, 39707, 220, 220, 6804, 10674, 19, 271, 6804, 10674, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1273905 - 2281\n\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 0000004\n\n0000004\n\nBorrow: 1\n 1273905\n 0002281\n- -------\n 0000024\n\n0000024\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 0000624\n\n0000624\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 0001624\n\n0001624\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 0071624\n\n0071624\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 0271624\n\n0271624\n\nBorrow: 0\n 1273905\n 0002281\n- -------\n 1271624\n\n1271624\n", "id": 1294}, {"char_len": 192, "tokens": [11123, 19, 482, 220, 15189, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 11123, 19, 198, 220, 220, 18887, 20, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11123, 19, 198, 220, 220, 18887, 20, 198, 12, 11556, 198, 220, 220, 13858, 24, 271, 13858, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 19, 198, 220, 220, 18887, 20, 198, 12, 11556, 198, 220, 220, 21602, 24, 271, 21602, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 19, 198, 220, 220, 18887, 20, 198, 12, 11556, 198, 220, 220, 10125, 24, 271, 10125, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1714 - 315\n\n\nBorrow: 1\n 1714\n 0315\n- ----\n 0009\n\n0009\n\nBorrow: 1\n 1714\n 0315\n- ----\n 0099\n\n0099\n\nBorrow: 0\n 1714\n 0315\n- ----\n 0399\n\n0399\n\nBorrow: 0\n 1714\n 0315\n- ----\n 1399\n\n1399\n", "id": 1295}, {"char_len": 262, "tokens": [2636, 3264, 482, 220, 1758, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2636, 3264, 198, 220, 220, 931, 1758, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2636, 3264, 198, 220, 220, 931, 1758, 198, 12, 81049, 220, 220, 931, 5495, 271, 931, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2636, 3264, 198, 220, 220, 931, 1758, 198, 12, 81049, 220, 220, 931, 5495, 271, 931, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2636, 3264, 198, 220, 220, 931, 1758, 198, 12, 81049, 220, 220, 931, 5495, 271, 931, 5495, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2636, 3264, 198, 220, 220, 931, 1758, 198, 12, 81049, 220, 220, 2636, 5495, 271, 2636, 5495, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "50098 - 35\n\n\nBorrow: 0\n 50098\n 00035\n- -----\n 00003\n\n00003\n\nBorrow: 0\n 50098\n 00035\n- -----\n 00063\n\n00063\n\nBorrow: 0\n 50098\n 00035\n- -----\n 00063\n\n00063\n\nBorrow: 0\n 50098\n 00035\n- -----\n 00063\n\n00063\n\nBorrow: 0\n 50098\n 00035\n- -----\n 50063\n\n50063\n", "id": 1296}, {"char_len": 646, "tokens": [19773, 24487, 16332, 482, 220, 1958, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 931, 8759, 271, 931, 931, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 931, 22379, 271, 931, 931, 22379, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 931, 11727, 271, 931, 931, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 11030, 11727, 271, 931, 11030, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 15794, 11727, 271, 931, 15794, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 931, 24487, 11727, 271, 931, 24487, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 8504, 24487, 11727, 271, 8504, 24487, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 24646, 24487, 11727, 271, 24646, 24487, 11727, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19773, 24487, 16332, 198, 220, 220, 931, 931, 22379, 198, 12, 220, 29547, 220, 220, 19773, 24487, 11727, 271, 19773, 24487, 11727, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "485916268 - 34\n\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000000004\n\n000000004\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000000034\n\n000000034\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000000234\n\n000000234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000006234\n\n000006234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000016234\n\n000016234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 000916234\n\n000916234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 005916234\n\n005916234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 085916234\n\n085916234\n\nBorrow: 0\n 485916268\n 000000034\n- ---------\n 485916234\n\n485916234\n", "id": 1297}, {"char_len": 130, "tokens": [11515, 482, 220, 1774, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11515, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11515, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 18642, 271, 18642, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11515, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 8259, 271, 8259, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "167 - 45\n\n\nBorrow: 0\n 167\n 045\n- ---\n 002\n\n002\n\nBorrow: 0\n 167\n 045\n- ---\n 022\n\n022\n\nBorrow: 0\n 167\n 045\n- ---\n 122\n\n122\n", "id": 1298}, {"char_len": 263, "tokens": [5245, 1627, 482, 220, 9800, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5245, 1627, 198, 220, 220, 4119, 4331, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5245, 1627, 198, 220, 220, 4119, 4331, 198, 12, 81049, 220, 220, 931, 5958, 271, 931, 5958, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5245, 1627, 198, 220, 220, 4119, 4331, 198, 12, 81049, 220, 220, 11436, 5958, 271, 11436, 5958, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5245, 1627, 198, 220, 220, 4119, 4331, 198, 12, 81049, 220, 220, 24850, 5958, 271, 24850, 5958, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5245, 1627, 198, 220, 220, 4119, 4331, 198, 12, 81049, 220, 220, 11256, 5958, 271, 11256, 5958, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "18026 - 153\n\n\nBorrow: 0\n 18026\n 00153\n- -----\n 00003\n\n00003\n\nBorrow: 1\n 18026\n 00153\n- -----\n 00073\n\n00073\n\nBorrow: 1\n 18026\n 00153\n- -----\n 00873\n\n00873\n\nBorrow: 0\n 18026\n 00153\n- -----\n 07873\n\n07873\n\nBorrow: 0\n 18026\n 00153\n- -----\n 17873\n\n17873\n", "id": 1299}, {"char_len": 343, "tokens": [10828, 24222, 482, 220, 845, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 931, 931, 271, 931, 931, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 931, 14649, 271, 931, 14649, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 931, 14649, 271, 931, 14649, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 6726, 14649, 271, 6726, 14649, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 24996, 14649, 271, 24996, 14649, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10828, 24222, 198, 220, 220, 931, 15794, 198, 12, 11556, 7233, 220, 220, 10828, 14649, 271, 10828, 14649, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "182046 - 16\n\n\nBorrow: 0\n 182046\n 000016\n- ------\n 000000\n\n000000\n\nBorrow: 0\n 182046\n 000016\n- ------\n 000030\n\n000030\n\nBorrow: 0\n 182046\n 000016\n- ------\n 000030\n\n000030\n\nBorrow: 0\n 182046\n 000016\n- ------\n 002030\n\n002030\n\nBorrow: 0\n 182046\n 000016\n- ------\n 082030\n\n082030\n\nBorrow: 0\n 182046\n 000016\n- ------\n 182030\n\n182030\n", "id": 1300}, {"char_len": 264, "tokens": [6804, 5495, 482, 220, 19242, 18, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 5495, 198, 220, 220, 25921, 1419, 198, 12, 81049, 220, 220, 931, 410, 271, 931, 410, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 5495, 198, 220, 220, 25921, 1419, 198, 12, 81049, 220, 220, 931, 1272, 271, 931, 1272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 5495, 198, 220, 220, 25921, 1419, 198, 12, 81049, 220, 220, 4119, 1272, 271, 4119, 1272, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6804, 5495, 198, 220, 220, 25921, 1419, 198, 12, 81049, 220, 220, 24508, 1272, 271, 24508, 1272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 5495, 198, 220, 220, 25921, 1419, 198, 12, 81049, 220, 220, 24508, 1272, 271, 24508, 1272, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "12763 - 5623\n\n\nBorrow: 0\n 12763\n 05623\n- -----\n 00000\n\n00000\n\nBorrow: 0\n 12763\n 05623\n- -----\n 00040\n\n00040\n\nBorrow: 0\n 12763\n 05623\n- -----\n 00140\n\n00140\n\nBorrow: 1\n 12763\n 05623\n- -----\n 07140\n\n07140\n\nBorrow: 0\n 12763\n 05623\n- -----\n 07140\n\n07140\n", "id": 1301}, {"char_len": 343, "tokens": [9335, 23901, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 931, 8504, 271, 931, 8504, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 931, 18070, 271, 931, 18070, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 931, 23309, 271, 931, 23309, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 4119, 23309, 271, 4119, 23309, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 20945, 23309, 271, 20945, 23309, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9335, 23901, 198, 220, 220, 931, 11139, 198, 12, 11556, 7233, 220, 220, 9335, 23309, 271, 9335, 23309, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "141745 - 20\n\n\nBorrow: 0\n 141745\n 000020\n- ------\n 000005\n\n000005\n\nBorrow: 0\n 141745\n 000020\n- ------\n 000025\n\n000025\n\nBorrow: 0\n 141745\n 000020\n- ------\n 000725\n\n000725\n\nBorrow: 0\n 141745\n 000020\n- ------\n 001725\n\n001725\n\nBorrow: 0\n 141745\n 000020\n- ------\n 041725\n\n041725\n\nBorrow: 0\n 141745\n 000020\n- ------\n 141725\n\n141725\n", "id": 1302}, {"char_len": 131, "tokens": [10841, 482, 220, 9795, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 198, 220, 220, 9795, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 198, 220, 220, 9795, 198, 12, 55023, 220, 220, 26478, 271, 26478, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 198, 220, 220, 9795, 198, 12, 55023, 220, 220, 14374, 271, 14374, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "401 - 136\n\n\nBorrow: 1\n 401\n 136\n- ---\n 005\n\n005\n\nBorrow: 1\n 401\n 136\n- ---\n 065\n\n065\n\nBorrow: 0\n 401\n 136\n- ---\n 265\n\n265\n", "id": 1303}, {"char_len": 436, "tokens": [16443, 24344, 18, 482, 220, 11256, 16, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 931, 931, 17, 271, 931, 931, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 931, 11030, 17, 271, 931, 11030, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 931, 23835, 17, 271, 931, 23835, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 931, 10943, 17, 271, 931, 10943, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 6726, 10943, 17, 271, 6726, 10943, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 25221, 10943, 17, 271, 25221, 10943, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16443, 24344, 18, 198, 220, 220, 931, 11256, 16, 198, 12, 39707, 220, 220, 16443, 10943, 17, 271, 16443, 10943, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2928443 - 1781\n\n\nBorrow: 0\n 2928443\n 0001781\n- -------\n 0000002\n\n0000002\n\nBorrow: 1\n 2928443\n 0001781\n- -------\n 0000062\n\n0000062\n\nBorrow: 1\n 2928443\n 0001781\n- -------\n 0000662\n\n0000662\n\nBorrow: 0\n 2928443\n 0001781\n- -------\n 0006662\n\n0006662\n\nBorrow: 0\n 2928443\n 0001781\n- -------\n 0026662\n\n0026662\n\nBorrow: 0\n 2928443\n 0001781\n- -------\n 0926662\n\n0926662\n\nBorrow: 0\n 2928443\n 0001781\n- -------\n 2926662\n\n2926662\n", "id": 1304}, {"char_len": 264, "tokens": [22915, 1644, 482, 220, 22094, 16, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22915, 1644, 198, 220, 220, 23785, 5925, 198, 12, 81049, 220, 220, 931, 2437, 271, 931, 2437, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22915, 1644, 198, 220, 220, 23785, 5925, 198, 12, 81049, 220, 220, 931, 2983, 271, 931, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22915, 1644, 198, 220, 220, 23785, 5925, 198, 12, 81049, 220, 220, 6726, 2983, 271, 6726, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22915, 1644, 198, 220, 220, 23785, 5925, 198, 12, 81049, 220, 220, 21040, 2983, 271, 21040, 2983, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22915, 1644, 198, 220, 220, 23785, 5925, 198, 12, 81049, 220, 220, 20711, 2983, 271, 20711, 2983, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "57833 - 4591\n\n\nBorrow: 0\n 57833\n 04591\n- -----\n 00002\n\n00002\n\nBorrow: 1\n 57833\n 04591\n- -----\n 00042\n\n00042\n\nBorrow: 0\n 57833\n 04591\n- -----\n 00242\n\n00242\n\nBorrow: 0\n 57833\n 04591\n- -----\n 03242\n\n03242\n\nBorrow: 0\n 57833\n 04591\n- -----\n 53242\n\n53242\n", "id": 1305}, {"char_len": 345, "tokens": [15231, 22049, 482, 220, 23079, 21, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 931, 6726, 271, 931, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 931, 23439, 271, 931, 23439, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 931, 10861, 271, 931, 10861, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 11194, 10861, 271, 11194, 10861, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 11194, 10861, 271, 11194, 10861, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15231, 22049, 198, 220, 220, 11030, 19615, 198, 12, 11556, 7233, 220, 220, 14777, 10861, 271, 14777, 10861, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "313568 - 6396\n\n\nBorrow: 0\n 313568\n 006396\n- ------\n 000002\n\n000002\n\nBorrow: 1\n 313568\n 006396\n- ------\n 000072\n\n000072\n\nBorrow: 0\n 313568\n 006396\n- ------\n 000172\n\n000172\n\nBorrow: 1\n 313568\n 006396\n- ------\n 007172\n\n007172\n\nBorrow: 0\n 313568\n 006396\n- ------\n 007172\n\n007172\n\nBorrow: 0\n 313568\n 006396\n- ------\n 307172\n\n307172\n", "id": 1306}, {"char_len": 436, "tokens": [5037, 20973, 17, 482, 220, 14261, 20, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 931, 931, 22, 271, 931, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 931, 6726, 22, 271, 931, 6726, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 931, 24996, 22, 271, 931, 24996, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 931, 18781, 22, 271, 931, 18781, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 4119, 18781, 22, 271, 4119, 18781, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 10731, 18781, 22, 271, 10731, 18781, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 20973, 17, 198, 220, 220, 931, 14261, 20, 198, 12, 39707, 220, 220, 5037, 18781, 22, 271, 5037, 18781, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1116112 - 2285\n\n\nBorrow: 1\n 1116112\n 0002285\n- -------\n 0000007\n\n0000007\n\nBorrow: 1\n 1116112\n 0002285\n- -------\n 0000027\n\n0000027\n\nBorrow: 1\n 1116112\n 0002285\n- -------\n 0000827\n\n0000827\n\nBorrow: 0\n 1116112\n 0002285\n- -------\n 0003827\n\n0003827\n\nBorrow: 0\n 1116112\n 0002285\n- -------\n 0013827\n\n0013827\n\nBorrow: 0\n 1116112\n 0002285\n- -------\n 0113827\n\n0113827\n\nBorrow: 0\n 1116112\n 0002285\n- -------\n 1113827\n\n1113827\n", "id": 1307}, {"char_len": 265, "tokens": [17048, 914, 482, 220, 9335, 1987, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 17048, 914, 198, 220, 220, 9335, 1987, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17048, 914, 198, 220, 220, 9335, 1987, 198, 12, 81049, 220, 220, 931, 4044, 271, 931, 4044, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17048, 914, 198, 220, 220, 9335, 1987, 198, 12, 81049, 220, 220, 11436, 4044, 271, 11436, 4044, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17048, 914, 198, 220, 220, 9335, 1987, 198, 12, 81049, 220, 220, 26983, 4044, 271, 26983, 4044, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17048, 914, 198, 220, 220, 9335, 1987, 198, 12, 81049, 220, 220, 19838, 4044, 271, 19838, 4044, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "54025 - 14138\n\n\nBorrow: 1\n 54025\n 14138\n- -----\n 00007\n\n00007\n\nBorrow: 1\n 54025\n 14138\n- -----\n 00087\n\n00087\n\nBorrow: 1\n 54025\n 14138\n- -----\n 00887\n\n00887\n\nBorrow: 1\n 54025\n 14138\n- -----\n 09887\n\n09887\n\nBorrow: 0\n 54025\n 14138\n- -----\n 39887\n\n39887\n", "id": 1308}, {"char_len": 130, "tokens": [25454, 482, 220, 1135, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25454, 198, 220, 220, 16193, 198, 12, 55023, 220, 220, 11436, 271, 11436, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25454, 198, 220, 220, 16193, 198, 12, 55023, 220, 220, 25620, 271, 25620, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25454, 198, 220, 220, 16193, 198, 12, 55023, 220, 220, 12251, 271, 12251, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "938 - 50\n\n\nBorrow: 0\n 938\n 050\n- ---\n 008\n\n008\n\nBorrow: 1\n 938\n 050\n- ---\n 088\n\n088\n\nBorrow: 0\n 938\n 050\n- ---\n 888\n\n888\n", "id": 1309}, {"char_len": 1190, "tokens": [20998, 24832, 11531, 16474, 24, 482, 220, 1187, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 931, 20, 271, 931, 931, 931, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 11194, 20, 271, 931, 931, 931, 11194, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 27311, 20, 271, 931, 931, 931, 27311, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 931, 23171, 20, 271, 931, 931, 931, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 6726, 23171, 20, 271, 931, 931, 6726, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 11531, 23171, 20, 271, 931, 931, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 931, 11531, 23171, 20, 271, 931, 931, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 11030, 11531, 23171, 20, 271, 931, 11030, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 28153, 11531, 23171, 20, 271, 931, 28153, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 931, 24832, 11531, 23171, 20, 271, 931, 24832, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 8759, 24832, 11531, 23171, 20, 271, 8759, 24832, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 15901, 24832, 11531, 23171, 20, 271, 15901, 24832, 11531, 23171, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20998, 24832, 11531, 16474, 24, 198, 220, 220, 931, 931, 931, 6726, 19, 198, 12, 33658, 7058, 220, 220, 20998, 24832, 11531, 23171, 20, 271, 20998, 24832, 11531, 23171, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 516, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5147960127899 - 24\n\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000000005\n\n0000000000005\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000000075\n\n0000000000075\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000000875\n\n0000000000875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000007875\n\n0000000007875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000027875\n\n0000000027875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000127875\n\n0000000127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000000127875\n\n0000000127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000060127875\n\n0000060127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0000960127875\n\n0000960127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0007960127875\n\n0007960127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0047960127875\n\n0047960127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 0147960127875\n\n0147960127875\n\nBorrow: 0\n 5147960127899\n 0000000000024\n- -------------\n 5147960127875\n\n5147960127875\n", "id": 1310}, {"char_len": 192, "tokens": [18349, 22, 482, 220, 26563, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18349, 22, 198, 220, 220, 26720, 21, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18349, 22, 198, 220, 220, 26720, 21, 198, 12, 11556, 198, 220, 220, 6726, 16, 271, 6726, 16, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18349, 22, 198, 220, 220, 26720, 21, 198, 12, 11556, 198, 220, 220, 23439, 16, 271, 23439, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18349, 22, 198, 220, 220, 26720, 21, 198, 12, 11556, 198, 220, 220, 15741, 16, 271, 15741, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3567 - 846\n\n\nBorrow: 0\n 3567\n 0846\n- ----\n 0001\n\n0001\n\nBorrow: 0\n 3567\n 0846\n- ----\n 0021\n\n0021\n\nBorrow: 1\n 3567\n 0846\n- ----\n 0721\n\n0721\n\nBorrow: 0\n 3567\n 0846\n- ----\n 2721\n\n2721\n", "id": 1311}, {"char_len": 130, "tokens": [9756, 482, 220, 845, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9756, 198, 220, 220, 15794, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 198, 220, 220, 15794, 198, 12, 55023, 220, 220, 23110, 271, 23110, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9756, 198, 220, 220, 15794, 198, 12, 55023, 220, 220, 9795, 271, 9795, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "152 - 16\n\n\nBorrow: 1\n 152\n 016\n- ---\n 006\n\n006\n\nBorrow: 0\n 152\n 016\n- ---\n 036\n\n036\n\nBorrow: 0\n 152\n 016\n- ---\n 136\n\n136\n", "id": 1312}, {"char_len": 191, "tokens": [11727, 24, 482, 220, 3391, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 24, 198, 220, 220, 8759, 18, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 24, 198, 220, 220, 8759, 18, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 24, 198, 220, 220, 8759, 18, 198, 12, 11556, 198, 220, 220, 14649, 21, 271, 14649, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 24, 198, 220, 220, 8759, 18, 198, 12, 11556, 198, 220, 220, 9870, 21, 271, 9870, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2349 - 43\n\n\nBorrow: 0\n 2349\n 0043\n- ----\n 0006\n\n0006\n\nBorrow: 0\n 2349\n 0043\n- ----\n 0006\n\n0006\n\nBorrow: 0\n 2349\n 0043\n- ----\n 0306\n\n0306\n\nBorrow: 0\n 2349\n 0043\n- ----\n 2306\n\n2306\n", "id": 1313}, {"char_len": 79, "tokens": [1591, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2371, 271, 2371, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 975, 271, 975, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "28 - 14\n\n\nBorrow: 0\n 28\n 14\n- --\n 04\n\n04\n\nBorrow: 0\n 28\n 14\n- --\n 14\n\n14\n", "id": 1314}, {"char_len": 130, "tokens": [15515, 482, 220, 2096, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15515, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15515, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 24222, 271, 24222, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15515, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 18061, 271, 18061, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "390 - 44\n\n\nBorrow: 1\n 390\n 044\n- ---\n 006\n\n006\n\nBorrow: 0\n 390\n 044\n- ---\n 046\n\n046\n\nBorrow: 0\n 390\n 044\n- ---\n 346\n\n346\n", "id": 1315}, {"char_len": 79, "tokens": [1644, 482, 220, 975, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1644, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2545, 271, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1644, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 777, 271, 777, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "33 - 14\n\n\nBorrow: 1\n 33\n 14\n- --\n 09\n\n09\n\nBorrow: 0\n 33\n 14\n- --\n 19\n\n19\n", "id": 1316}, {"char_len": 541, "tokens": [11057, 18509, 2304, 482, 220, 12060, 21385, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 931, 931, 2304, 271, 931, 931, 2304, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 931, 931, 2075, 271, 931, 931, 2075, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 931, 11030, 2075, 271, 931, 11030, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 931, 24222, 2075, 271, 931, 24222, 2075, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 931, 25594, 2075, 271, 931, 25594, 2075, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 11194, 25594, 2075, 271, 11194, 25594, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 17248, 25594, 2075, 271, 17248, 25594, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11057, 18509, 2304, 198, 220, 220, 12060, 21385, 966, 198, 12, 90238, 220, 220, 17248, 25594, 2075, 271, 17248, 25594, 2075, 198], "tokenizer": "cl100k_base", "tokens_len": 249, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "22536205 - 20761530\n\n\nBorrow: 0\n 22536205\n 20761530\n- --------\n 00000005\n\n00000005\n\nBorrow: 1\n 22536205\n 20761530\n- --------\n 00000075\n\n00000075\n\nBorrow: 1\n 22536205\n 20761530\n- --------\n 00000675\n\n00000675\n\nBorrow: 0\n 22536205\n 20761530\n- --------\n 00004675\n\n00004675\n\nBorrow: 1\n 22536205\n 20761530\n- --------\n 00074675\n\n00074675\n\nBorrow: 1\n 22536205\n 20761530\n- --------\n 00774675\n\n00774675\n\nBorrow: 0\n 22536205\n 20761530\n- --------\n 01774675\n\n01774675\n\nBorrow: 0\n 22536205\n 20761530\n- --------\n 01774675\n\n01774675\n", "id": 1317}, {"char_len": 130, "tokens": [12375, 482, 220, 2491, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12375, 198, 220, 220, 25307, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12375, 198, 220, 220, 25307, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12375, 198, 220, 220, 25307, 198, 12, 55023, 220, 220, 10866, 271, 10866, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "254 - 49\n\n\nBorrow: 1\n 254\n 049\n- ---\n 005\n\n005\n\nBorrow: 0\n 254\n 049\n- ---\n 005\n\n005\n\nBorrow: 0\n 254\n 049\n- ---\n 205\n\n205\n", "id": 1318}, {"char_len": 79, "tokens": [4103, 482, 220, 868, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4103, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4103, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 1806, 271, 1806, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "52 - 15\n\n\nBorrow: 1\n 52\n 15\n- --\n 07\n\n07\n\nBorrow: 0\n 52\n 15\n- --\n 37\n\n37\n", "id": 1319}, {"char_len": 192, "tokens": [5037, 23, 482, 220, 7743, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5037, 23, 198, 220, 220, 7755, 24, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 23, 198, 220, 220, 7755, 24, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 23, 198, 220, 220, 7755, 24, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 23, 198, 220, 220, 7755, 24, 198, 12, 11556, 198, 220, 220, 1041, 24, 271, 1041, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1118 - 109\n\n\nBorrow: 1\n 1118\n 0109\n- ----\n 0009\n\n0009\n\nBorrow: 0\n 1118\n 0109\n- ----\n 0009\n\n0009\n\nBorrow: 0\n 1118\n 0109\n- ----\n 0009\n\n0009\n\nBorrow: 0\n 1118\n 0109\n- ----\n 1009\n\n1009\n", "id": 1320}, {"char_len": 262, "tokens": [1041, 1691, 482, 220, 1958, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 1691, 198, 220, 220, 931, 1958, 198, 12, 81049, 220, 220, 931, 2589, 271, 931, 2589, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 1691, 198, 220, 220, 931, 1958, 198, 12, 81049, 220, 220, 931, 4044, 271, 931, 4044, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 1691, 198, 220, 220, 931, 1958, 198, 12, 81049, 220, 220, 13858, 4044, 271, 13858, 4044, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 1691, 198, 220, 220, 931, 1958, 198, 12, 81049, 220, 220, 26513, 4044, 271, 26513, 4044, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 1691, 198, 220, 220, 931, 1958, 198, 12, 81049, 220, 220, 26513, 4044, 271, 26513, 4044, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10021 - 34\n\n\nBorrow: 1\n 10021\n 00034\n- -----\n 00007\n\n00007\n\nBorrow: 1\n 10021\n 00034\n- -----\n 00087\n\n00087\n\nBorrow: 1\n 10021\n 00034\n- -----\n 00987\n\n00987\n\nBorrow: 1\n 10021\n 00034\n- -----\n 09987\n\n09987\n\nBorrow: 0\n 10021\n 00034\n- -----\n 09987\n\n09987\n", "id": 1321}, {"char_len": 768, "tokens": [12994, 18061, 17272, 18, 482, 220, 10161, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 931, 931, 19, 271, 931, 931, 931, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 931, 6268, 19, 271, 931, 931, 6268, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 931, 24254, 19, 271, 931, 931, 24254, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 931, 26087, 19, 271, 931, 931, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 11030, 26087, 19, 271, 931, 11030, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 24222, 26087, 19, 271, 931, 24222, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 931, 18061, 26087, 19, 271, 931, 18061, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 6268, 18061, 26087, 19, 271, 6268, 18061, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 13103, 18061, 26087, 19, 271, 13103, 18061, 26087, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12994, 18061, 17272, 18, 198, 220, 220, 931, 931, 15901, 24, 198, 12, 31423, 220, 220, 12994, 18061, 26087, 19, 271, 12994, 18061, 26087, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 348, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2333469783 - 149\n\n\nBorrow: 1\n 2333469783\n 0000000149\n- ----------\n 0000000004\n\n0000000004\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0000000034\n\n0000000034\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0000000634\n\n0000000634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0000009634\n\n0000009634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0000069634\n\n0000069634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0000469634\n\n0000469634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0003469634\n\n0003469634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0033469634\n\n0033469634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 0333469634\n\n0333469634\n\nBorrow: 0\n 2333469783\n 0000000149\n- ----------\n 2333469634\n\n2333469634\n", "id": 1322}, {"char_len": 263, "tokens": [7994, 1774, 482, 220, 21876, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 7994, 1774, 198, 220, 220, 8504, 1644, 198, 12, 81049, 220, 220, 931, 2437, 271, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7994, 1774, 198, 220, 220, 8504, 1644, 198, 12, 81049, 220, 220, 931, 717, 271, 931, 717, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7994, 1774, 198, 220, 220, 8504, 1644, 198, 12, 81049, 220, 220, 11030, 717, 271, 11030, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7994, 1774, 198, 220, 220, 8504, 1644, 198, 12, 81049, 220, 220, 15794, 717, 271, 15794, 717, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7994, 1774, 198, 220, 220, 8504, 1644, 198, 12, 81049, 220, 220, 8027, 717, 271, 8027, 717, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "12145 - 533\n\n\nBorrow: 0\n 12145\n 00533\n- -----\n 00002\n\n00002\n\nBorrow: 0\n 12145\n 00533\n- -----\n 00012\n\n00012\n\nBorrow: 1\n 12145\n 00533\n- -----\n 00612\n\n00612\n\nBorrow: 0\n 12145\n 00533\n- -----\n 01612\n\n01612\n\nBorrow: 0\n 12145\n 00533\n- -----\n 11612\n\n11612\n", "id": 1323}, {"char_len": 79, "tokens": [1135, 482, 220, 843, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1135, 198, 220, 220, 843, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1135, 198, 220, 220, 843, 198, 12, 40614, 220, 220, 972, 271, 972, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "50 - 32\n\n\nBorrow: 1\n 50\n 32\n- --\n 08\n\n08\n\nBorrow: 0\n 50\n 32\n- --\n 18\n\n18\n", "id": 1324}, {"char_len": 131, "tokens": [13762, 482, 220, 11771, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 13762, 198, 220, 220, 11771, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 13762, 198, 220, 220, 11771, 198, 12, 55023, 220, 220, 23785, 271, 23785, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 13762, 198, 220, 220, 11771, 198, 12, 55023, 220, 220, 23785, 271, 23785, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "219 - 174\n\n\nBorrow: 0\n 219\n 174\n- ---\n 005\n\n005\n\nBorrow: 1\n 219\n 174\n- ---\n 045\n\n045\n\nBorrow: 0\n 219\n 174\n- ---\n 045\n\n045\n", "id": 1325}, {"char_len": 346, "tokens": [20249, 12754, 482, 220, 20419, 1187, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 931, 11436, 271, 931, 11436, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 931, 16745, 271, 931, 16745, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 931, 21312, 271, 931, 21312, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 8504, 21312, 271, 8504, 21312, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 26421, 21312, 271, 26421, 21312, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20249, 12754, 198, 220, 220, 24222, 24735, 198, 12, 11556, 7233, 220, 220, 25238, 21312, 271, 25238, 21312, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "942242 - 46724\n\n\nBorrow: 1\n 942242\n 046724\n- ------\n 000008\n\n000008\n\nBorrow: 0\n 942242\n 046724\n- ------\n 000018\n\n000018\n\nBorrow: 1\n 942242\n 046724\n- ------\n 000518\n\n000518\n\nBorrow: 1\n 942242\n 046724\n- ------\n 005518\n\n005518\n\nBorrow: 1\n 942242\n 046724\n- ------\n 095518\n\n095518\n\nBorrow: 0\n 942242\n 046724\n- ------\n 895518\n\n895518\n", "id": 1326}, {"char_len": 192, "tokens": [4513, 20, 482, 220, 19416, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4513, 20, 198, 220, 220, 26513, 23, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4513, 20, 198, 220, 220, 26513, 23, 198, 12, 11556, 198, 220, 220, 6268, 22, 271, 6268, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4513, 20, 198, 220, 220, 26513, 23, 198, 12, 11556, 198, 220, 220, 20063, 22, 271, 20063, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4513, 20, 198, 220, 220, 26513, 23, 198, 12, 11556, 198, 220, 220, 20063, 22, 271, 20063, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1235 - 998\n\n\nBorrow: 1\n 1235\n 0998\n- ----\n 0007\n\n0007\n\nBorrow: 1\n 1235\n 0998\n- ----\n 0037\n\n0037\n\nBorrow: 1\n 1235\n 0998\n- ----\n 0237\n\n0237\n\nBorrow: 0\n 1235\n 0998\n- ----\n 0237\n\n0237\n", "id": 1327}, {"char_len": 262, "tokens": [11128, 4044, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 4044, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 2304, 271, 931, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 4044, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 931, 2075, 271, 931, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 4044, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 13858, 2075, 271, 13858, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 4044, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 27407, 2075, 271, 27407, 2075, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 4044, 198, 220, 220, 931, 717, 198, 12, 81049, 220, 220, 11128, 2075, 271, 11128, 2075, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "17987 - 12\n\n\nBorrow: 0\n 17987\n 00012\n- -----\n 00005\n\n00005\n\nBorrow: 0\n 17987\n 00012\n- -----\n 00075\n\n00075\n\nBorrow: 0\n 17987\n 00012\n- -----\n 00975\n\n00975\n\nBorrow: 0\n 17987\n 00012\n- -----\n 07975\n\n07975\n\nBorrow: 0\n 17987\n 00012\n- -----\n 17975\n\n17975\n", "id": 1328}, {"char_len": 131, "tokens": [10895, 482, 220, 4513, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 198, 220, 220, 4513, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 198, 220, 220, 4513, 198, 12, 55023, 220, 220, 22379, 271, 22379, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10895, 198, 220, 220, 4513, 198, 12, 55023, 220, 220, 22379, 271, 22379, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "157 - 123\n\n\nBorrow: 0\n 157\n 123\n- ---\n 004\n\n004\n\nBorrow: 0\n 157\n 123\n- ---\n 034\n\n034\n\nBorrow: 0\n 157\n 123\n- ---\n 034\n\n034\n", "id": 1329}, {"char_len": 343, "tokens": [8899, 23582, 482, 220, 2287, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 931, 13858, 271, 931, 13858, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 931, 25307, 271, 931, 25307, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 931, 25541, 271, 931, 25541, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 11436, 25541, 271, 11436, 25541, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 16745, 25541, 271, 16745, 25541, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8899, 23582, 198, 220, 220, 931, 23835, 198, 12, 11556, 7233, 220, 220, 8899, 25541, 271, 8899, 25541, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "118815 - 66\n\n\nBorrow: 1\n 118815\n 000066\n- ------\n 000009\n\n000009\n\nBorrow: 1\n 118815\n 000066\n- ------\n 000049\n\n000049\n\nBorrow: 0\n 118815\n 000066\n- ------\n 000749\n\n000749\n\nBorrow: 0\n 118815\n 000066\n- ------\n 008749\n\n008749\n\nBorrow: 0\n 118815\n 000066\n- ------\n 018749\n\n018749\n\nBorrow: 0\n 118815\n 000066\n- ------\n 118749\n\n118749\n", "id": 1330}, {"char_len": 191, "tokens": [11702, 20, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11702, 20, 198, 220, 220, 4119, 15, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11702, 20, 198, 220, 220, 4119, 15, 198, 12, 11556, 198, 220, 220, 6726, 20, 271, 6726, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11702, 20, 198, 220, 220, 4119, 15, 198, 12, 11556, 198, 220, 220, 11531, 20, 271, 11531, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11702, 20, 198, 220, 220, 4119, 15, 198, 12, 11556, 198, 220, 220, 11227, 20, 271, 11227, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2135 - 10\n\n\nBorrow: 0\n 2135\n 0010\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 2135\n 0010\n- ----\n 0025\n\n0025\n\nBorrow: 0\n 2135\n 0010\n- ----\n 0125\n\n0125\n\nBorrow: 0\n 2135\n 0010\n- ----\n 2125\n\n2125\n", "id": 1331}, {"char_len": 263, "tokens": [12935, 2946, 482, 220, 18196, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 12935, 2946, 198, 220, 220, 6268, 1682, 198, 12, 81049, 220, 220, 931, 410, 271, 931, 410, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12935, 2946, 198, 220, 220, 6268, 1682, 198, 12, 81049, 220, 220, 931, 966, 271, 931, 966, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12935, 2946, 198, 220, 220, 6268, 1682, 198, 12, 81049, 220, 220, 6726, 966, 271, 6726, 966, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12935, 2946, 198, 220, 220, 6268, 1682, 198, 12, 81049, 220, 220, 23439, 966, 271, 23439, 966, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12935, 2946, 198, 220, 220, 6268, 1682, 198, 12, 81049, 220, 220, 17662, 966, 271, 17662, 966, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "37559 - 329\n\n\nBorrow: 0\n 37559\n 00329\n- -----\n 00000\n\n00000\n\nBorrow: 0\n 37559\n 00329\n- -----\n 00030\n\n00030\n\nBorrow: 0\n 37559\n 00329\n- -----\n 00230\n\n00230\n\nBorrow: 0\n 37559\n 00329\n- -----\n 07230\n\n07230\n\nBorrow: 0\n 37559\n 00329\n- -----\n 37230\n\n37230\n", "id": 1332}, {"char_len": 437, "tokens": [21962, 20354, 19, 482, 220, 24471, 1758, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 931, 931, 24, 271, 931, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 931, 931, 24, 271, 931, 931, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 931, 17819, 24, 271, 931, 17819, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 931, 22440, 24, 271, 931, 22440, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 11436, 22440, 24, 271, 11436, 22440, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 25620, 22440, 24, 271, 25620, 22440, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21962, 20354, 19, 198, 220, 220, 13858, 24865, 20, 198, 12, 39707, 220, 220, 21310, 22440, 24, 271, 21310, 22440, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4986044 - 97335\n\n\nBorrow: 1\n 4986044\n 0097335\n- -------\n 0000009\n\n0000009\n\nBorrow: 0\n 4986044\n 0097335\n- -------\n 0000009\n\n0000009\n\nBorrow: 1\n 4986044\n 0097335\n- -------\n 0000709\n\n0000709\n\nBorrow: 1\n 4986044\n 0097335\n- -------\n 0008709\n\n0008709\n\nBorrow: 1\n 4986044\n 0097335\n- -------\n 0088709\n\n0088709\n\nBorrow: 0\n 4986044\n 0097335\n- -------\n 0888709\n\n0888709\n\nBorrow: 0\n 4986044\n 0097335\n- -------\n 4888709\n\n4888709\n", "id": 1333}, {"char_len": 191, "tokens": [14205, 23, 482, 220, 3971, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 23, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 23, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 4119, 22, 271, 4119, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 23, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 20945, 22, 271, 20945, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14205, 23, 198, 220, 220, 8504, 16, 198, 12, 11556, 198, 220, 220, 13341, 22, 271, 13341, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2468 - 51\n\n\nBorrow: 0\n 2468\n 0051\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 2468\n 0051\n- ----\n 0017\n\n0017\n\nBorrow: 0\n 2468\n 0051\n- ----\n 0417\n\n0417\n\nBorrow: 0\n 2468\n 0051\n- ----\n 2417\n\n2417\n", "id": 1334}, {"char_len": 79, "tokens": [1419, 482, 220, 972, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1419, 198, 220, 220, 972, 198, 12, 40614, 220, 220, 2304, 271, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1419, 198, 220, 220, 972, 198, 12, 40614, 220, 220, 2304, 271, 2304, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "23 - 18\n\n\nBorrow: 1\n 23\n 18\n- --\n 05\n\n05\n\nBorrow: 0\n 23\n 18\n- --\n 05\n\n05\n", "id": 1335}, {"char_len": 79, "tokens": [2491, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2491, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 2371, 271, 2371, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2491, 198, 220, 220, 868, 198, 12, 40614, 220, 220, 1958, 271, 1958, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "49 - 15\n\n\nBorrow: 0\n 49\n 15\n- --\n 04\n\n04\n\nBorrow: 0\n 49\n 15\n- --\n 34\n\n34\n", "id": 1336}, {"char_len": 262, "tokens": [26083, 2371, 482, 220, 5958, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 26083, 2371, 198, 220, 220, 931, 5958, 198, 12, 81049, 220, 220, 931, 1721, 271, 931, 1721, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 26083, 2371, 198, 220, 220, 931, 5958, 198, 12, 81049, 220, 220, 931, 2148, 271, 931, 2148, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26083, 2371, 198, 220, 220, 931, 5958, 198, 12, 81049, 220, 220, 6726, 2148, 271, 6726, 2148, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26083, 2371, 198, 220, 220, 931, 5958, 198, 12, 81049, 220, 220, 19222, 2148, 271, 19222, 2148, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26083, 2371, 198, 220, 220, 931, 5958, 198, 12, 81049, 220, 220, 24376, 2148, 271, 24376, 2148, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "76304 - 73\n\n\nBorrow: 0\n 76304\n 00073\n- -----\n 00001\n\n00001\n\nBorrow: 1\n 76304\n 00073\n- -----\n 00031\n\n00031\n\nBorrow: 0\n 76304\n 00073\n- -----\n 00231\n\n00231\n\nBorrow: 0\n 76304\n 00073\n- -----\n 06231\n\n06231\n\nBorrow: 0\n 76304\n 00073\n- -----\n 76231\n\n76231\n", "id": 1337}, {"char_len": 346, "tokens": [8874, 11194, 482, 220, 11727, 5547, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 931, 11030, 271, 931, 11030, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 931, 24222, 271, 931, 24222, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 931, 22048, 271, 931, 22048, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 931, 22048, 271, 931, 22048, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 931, 22048, 271, 931, 22048, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8874, 11194, 198, 220, 220, 20063, 19608, 198, 12, 11556, 7233, 220, 220, 1041, 22048, 271, 1041, 22048, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "124007 - 23461\n\n\nBorrow: 0\n 124007\n 023461\n- ------\n 000006\n\n000006\n\nBorrow: 1\n 124007\n 023461\n- ------\n 000046\n\n000046\n\nBorrow: 1\n 124007\n 023461\n- ------\n 000546\n\n000546\n\nBorrow: 0\n 124007\n 023461\n- ------\n 000546\n\n000546\n\nBorrow: 0\n 124007\n 023461\n- ------\n 000546\n\n000546\n\nBorrow: 0\n 124007\n 023461\n- ------\n 100546\n\n100546\n", "id": 1338}, {"char_len": 436, "tokens": [22467, 21969, 21, 482, 220, 17212, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 931, 931, 19, 271, 931, 931, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 931, 8504, 19, 271, 931, 8504, 19, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 931, 26478, 19, 271, 931, 26478, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 931, 12676, 19, 271, 931, 12676, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 8759, 12676, 19, 271, 8759, 12676, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 22379, 12676, 19, 271, 22379, 12676, 19, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22467, 21969, 21, 198, 220, 220, 931, 17212, 17, 198, 12, 39707, 220, 220, 22467, 12676, 19, 271, 22467, 12676, 19, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5346546 - 2892\n\n\nBorrow: 0\n 5346546\n 0002892\n- -------\n 0000004\n\n0000004\n\nBorrow: 1\n 5346546\n 0002892\n- -------\n 0000054\n\n0000054\n\nBorrow: 1\n 5346546\n 0002892\n- -------\n 0000654\n\n0000654\n\nBorrow: 0\n 5346546\n 0002892\n- -------\n 0003654\n\n0003654\n\nBorrow: 0\n 5346546\n 0002892\n- -------\n 0043654\n\n0043654\n\nBorrow: 0\n 5346546\n 0002892\n- -------\n 0343654\n\n0343654\n\nBorrow: 0\n 5346546\n 0002892\n- -------\n 5343654\n\n5343654\n", "id": 1339}, {"char_len": 130, "tokens": [16567, 482, 220, 2287, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 16567, 198, 220, 220, 23835, 198, 12, 55023, 220, 220, 4119, 271, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16567, 198, 220, 220, 23835, 198, 12, 55023, 220, 220, 4119, 271, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16567, 198, 220, 220, 23835, 198, 12, 55023, 220, 220, 679, 271, 679, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "267 - 66\n\n\nBorrow: 0\n 267\n 066\n- ---\n 001\n\n001\n\nBorrow: 0\n 267\n 066\n- ---\n 001\n\n001\n\nBorrow: 0\n 267\n 066\n- ---\n 201\n\n201\n", "id": 1340}, {"char_len": 79, "tokens": [2813, 482, 220, 777, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 2813, 198, 220, 220, 777, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2813, 198, 220, 220, 777, 198, 12, 40614, 220, 220, 2970, 271, 2970, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "77 - 19\n\n\nBorrow: 1\n 77\n 19\n- --\n 08\n\n08\n\nBorrow: 0\n 77\n 19\n- --\n 58\n\n58\n", "id": 1341}, {"char_len": 191, "tokens": [14417, 24, 482, 220, 6281, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14417, 24, 198, 220, 220, 13858, 19, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 14417, 24, 198, 220, 220, 13858, 19, 198, 12, 11556, 198, 220, 220, 11030, 20, 271, 11030, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14417, 24, 198, 220, 220, 13858, 19, 198, 12, 11556, 198, 220, 220, 23835, 20, 271, 23835, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14417, 24, 198, 220, 220, 13858, 19, 198, 12, 11556, 198, 220, 220, 15999, 20, 271, 15999, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2759 - 94\n\n\nBorrow: 0\n 2759\n 0094\n- ----\n 0005\n\n0005\n\nBorrow: 1\n 2759\n 0094\n- ----\n 0065\n\n0065\n\nBorrow: 0\n 2759\n 0094\n- ----\n 0665\n\n0665\n\nBorrow: 0\n 2759\n 0094\n- ----\n 2665\n\n2665\n", "id": 1342}, {"char_len": 262, "tokens": [20354, 3076, 482, 220, 3487, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 20354, 3076, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20354, 3076, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 931, 1032, 271, 931, 1032, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20354, 3076, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 8759, 1032, 271, 8759, 1032, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20354, 3076, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 8759, 1032, 271, 8759, 1032, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20354, 3076, 198, 220, 220, 931, 3487, 198, 12, 81049, 220, 220, 20354, 1032, 271, 20354, 1032, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "60469 - 56\n\n\nBorrow: 0\n 60469\n 00056\n- -----\n 00003\n\n00003\n\nBorrow: 0\n 60469\n 00056\n- -----\n 00013\n\n00013\n\nBorrow: 0\n 60469\n 00056\n- -----\n 00413\n\n00413\n\nBorrow: 0\n 60469\n 00056\n- -----\n 00413\n\n00413\n\nBorrow: 0\n 60469\n 00056\n- -----\n 60413\n\n60413\n", "id": 1343}, {"char_len": 192, "tokens": [11128, 19, 482, 220, 9591, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 11128, 19, 198, 220, 220, 15901, 20, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 19, 198, 220, 220, 15901, 20, 198, 12, 11556, 198, 220, 220, 8759, 24, 271, 8759, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 19, 198, 220, 220, 15901, 20, 198, 12, 11556, 198, 220, 220, 20478, 24, 271, 20478, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11128, 19, 198, 220, 220, 15901, 20, 198, 12, 11556, 198, 220, 220, 10513, 24, 271, 10513, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1794 - 145\n\n\nBorrow: 1\n 1794\n 0145\n- ----\n 0009\n\n0009\n\nBorrow: 0\n 1794\n 0145\n- ----\n 0049\n\n0049\n\nBorrow: 0\n 1794\n 0145\n- ----\n 0649\n\n0649\n\nBorrow: 0\n 1794\n 0145\n- ----\n 1649\n\n1649\n", "id": 1344}, {"char_len": 191, "tokens": [10718, 15, 482, 220, 2096, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10718, 15, 198, 220, 220, 8759, 19, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10718, 15, 198, 220, 220, 8759, 19, 198, 12, 11556, 198, 220, 220, 11030, 21, 271, 11030, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10718, 15, 198, 220, 220, 8759, 19, 198, 12, 11556, 198, 220, 220, 25921, 21, 271, 25921, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10718, 15, 198, 220, 220, 8759, 19, 198, 12, 11556, 198, 220, 220, 10132, 21, 271, 10132, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1610 - 44\n\n\nBorrow: 1\n 1610\n 0044\n- ----\n 0006\n\n0006\n\nBorrow: 1\n 1610\n 0044\n- ----\n 0066\n\n0066\n\nBorrow: 0\n 1610\n 0044\n- ----\n 0566\n\n0566\n\nBorrow: 0\n 1610\n 0044\n- ----\n 1566\n\n1566\n", "id": 1345}, {"char_len": 343, "tokens": [7461, 21618, 482, 220, 1691, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 931, 11436, 271, 931, 11436, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 931, 11436, 271, 931, 11436, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 931, 19869, 271, 931, 19869, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 11030, 19869, 271, 11030, 19869, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 11030, 19869, 271, 11030, 19869, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 21618, 198, 220, 220, 931, 11592, 198, 12, 11556, 7233, 220, 220, 7461, 19869, 271, 7461, 19869, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "106529 - 21\n\n\nBorrow: 0\n 106529\n 000021\n- ------\n 000008\n\n000008\n\nBorrow: 0\n 106529\n 000021\n- ------\n 000008\n\n000008\n\nBorrow: 0\n 106529\n 000021\n- ------\n 000508\n\n000508\n\nBorrow: 0\n 106529\n 000021\n- ------\n 006508\n\n006508\n\nBorrow: 0\n 106529\n 000021\n- ------\n 006508\n\n006508\n\nBorrow: 0\n 106529\n 000021\n- ------\n 106508\n\n106508\n", "id": 1346}, {"char_len": 191, "tokens": [21228, 23, 482, 220, 914, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21228, 23, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21228, 23, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 6268, 18, 271, 6268, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21228, 23, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 25779, 18, 271, 25779, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21228, 23, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 22529, 18, 271, 22529, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5758 - 25\n\n\nBorrow: 0\n 5758\n 0025\n- ----\n 0003\n\n0003\n\nBorrow: 0\n 5758\n 0025\n- ----\n 0033\n\n0033\n\nBorrow: 0\n 5758\n 0025\n- ----\n 0733\n\n0733\n\nBorrow: 0\n 5758\n 0025\n- ----\n 5733\n\n5733\n", "id": 1347}, {"char_len": 435, "tokens": [25150, 22148, 16, 482, 220, 17048, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 931, 931, 16, 271, 931, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 931, 931, 16, 271, 931, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 931, 14649, 16, 271, 931, 14649, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 931, 20785, 16, 271, 931, 20785, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 11194, 20785, 16, 271, 11194, 20785, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 17248, 20785, 16, 271, 17248, 20785, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 22148, 16, 198, 220, 220, 931, 25230, 15, 198, 12, 39707, 220, 220, 25150, 20785, 16, 271, 25150, 20785, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "7177841 - 540\n\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0000001\n\n0000001\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0000001\n\n0000001\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0000301\n\n0000301\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0007301\n\n0007301\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0077301\n\n0077301\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 0177301\n\n0177301\n\nBorrow: 0\n 7177841\n 0000540\n- -------\n 7177301\n\n7177301\n", "id": 1348}, {"char_len": 130, "tokens": [6804, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6804, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 28384, 271, 28384, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6804, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 28384, 271, 28384, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "127 - 30\n\n\nBorrow: 0\n 127\n 030\n- ---\n 007\n\n007\n\nBorrow: 1\n 127\n 030\n- ---\n 097\n\n097\n\nBorrow: 0\n 127\n 030\n- ---\n 097\n\n097\n", "id": 1349}, {"char_len": 193, "tokens": [23879, 19, 482, 220, 11256, 24, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 23879, 19, 198, 220, 220, 11256, 24, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23879, 19, 198, 220, 220, 11256, 24, 198, 12, 11556, 198, 220, 220, 6268, 20, 271, 6268, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 23879, 19, 198, 220, 220, 11256, 24, 198, 12, 11556, 198, 220, 220, 25210, 20, 271, 25210, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23879, 19, 198, 220, 220, 11256, 24, 198, 12, 11556, 198, 220, 220, 21598, 20, 271, 21598, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 115, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "8324 - 1789\n\n\nBorrow: 1\n 8324\n 1789\n- ----\n 0005\n\n0005\n\nBorrow: 1\n 8324\n 1789\n- ----\n 0035\n\n0035\n\nBorrow: 1\n 8324\n 1789\n- ----\n 0535\n\n0535\n\nBorrow: 0\n 8324\n 1789\n- ----\n 6535\n\n6535\n", "id": 1350}, {"char_len": 192, "tokens": [22801, 16, 482, 220, 5926, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22801, 16, 198, 220, 220, 18089, 17, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22801, 16, 198, 220, 220, 18089, 17, 198, 12, 11556, 198, 220, 220, 6268, 24, 271, 6268, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22801, 16, 198, 220, 220, 18089, 17, 198, 12, 11556, 198, 220, 220, 6268, 24, 271, 6268, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22801, 16, 198, 220, 220, 18089, 17, 198, 12, 11556, 198, 220, 220, 21006, 24, 271, 21006, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "6231 - 192\n\n\nBorrow: 1\n 6231\n 0192\n- ----\n 0009\n\n0009\n\nBorrow: 1\n 6231\n 0192\n- ----\n 0039\n\n0039\n\nBorrow: 0\n 6231\n 0192\n- ----\n 0039\n\n0039\n\nBorrow: 0\n 6231\n 0192\n- ----\n 6039\n\n6039\n", "id": 1351}, {"char_len": 192, "tokens": [21618, 22, 482, 220, 17590, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21618, 22, 198, 220, 220, 22379, 17, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21618, 22, 198, 220, 220, 22379, 17, 198, 12, 11556, 198, 220, 220, 8504, 20, 271, 8504, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21618, 22, 198, 220, 220, 22379, 17, 198, 12, 11556, 198, 220, 220, 26421, 20, 271, 26421, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21618, 22, 198, 220, 220, 22379, 17, 198, 12, 11556, 198, 220, 220, 21038, 20, 271, 21038, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5297 - 342\n\n\nBorrow: 0\n 5297\n 0342\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 5297\n 0342\n- ----\n 0055\n\n0055\n\nBorrow: 1\n 5297\n 0342\n- ----\n 0955\n\n0955\n\nBorrow: 0\n 5297\n 0342\n- ----\n 4955\n\n4955\n", "id": 1352}, {"char_len": 262, "tokens": [6889, 2318, 482, 220, 4767, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 2318, 198, 220, 220, 931, 4767, 198, 12, 81049, 220, 220, 931, 2437, 271, 931, 2437, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 6889, 2318, 198, 220, 220, 931, 4767, 198, 12, 81049, 220, 220, 931, 843, 271, 931, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 2318, 198, 220, 220, 931, 4767, 198, 12, 81049, 220, 220, 6726, 843, 271, 6726, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 2318, 198, 220, 220, 931, 4767, 198, 12, 81049, 220, 220, 6726, 843, 271, 6726, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 2318, 198, 220, 220, 931, 4767, 198, 12, 81049, 220, 220, 4278, 843, 271, 4278, 843, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10308 - 76\n\n\nBorrow: 0\n 10308\n 00076\n- -----\n 00002\n\n00002\n\nBorrow: 1\n 10308\n 00076\n- -----\n 00032\n\n00032\n\nBorrow: 0\n 10308\n 00076\n- -----\n 00232\n\n00232\n\nBorrow: 0\n 10308\n 00076\n- -----\n 00232\n\n00232\n\nBorrow: 0\n 10308\n 00076\n- -----\n 10232\n\n10232\n", "id": 1353}, {"char_len": 540, "tokens": [18163, 20422, 717, 482, 220, 16707, 17451, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 931, 931, 410, 271, 931, 931, 410, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 931, 931, 2031, 271, 931, 931, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 931, 8759, 2031, 271, 931, 8759, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 931, 25230, 2031, 271, 931, 25230, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 931, 12375, 2031, 271, 931, 12375, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 8759, 12375, 2031, 271, 8759, 12375, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 20478, 12375, 2031, 271, 20478, 12375, 2031, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18163, 20422, 717, 198, 220, 220, 13103, 9565, 2983, 198, 12, 90238, 220, 220, 12815, 12375, 2031, 271, 12815, 12375, 2031, 198], "tokenizer": "cl100k_base", "tokens_len": 249, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "29738912 - 3313442\n\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 00000000\n\n00000000\n\nBorrow: 1\n 29738912\n 03313442\n- --------\n 00000070\n\n00000070\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 00000470\n\n00000470\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 00005470\n\n00005470\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 00025470\n\n00025470\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 00425470\n\n00425470\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 06425470\n\n06425470\n\nBorrow: 0\n 29738912\n 03313442\n- --------\n 26425470\n\n26425470\n", "id": 1354}, {"char_len": 650, "tokens": [22054, 19242, 24430, 482, 220, 24187, 25454, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 931, 11436, 271, 931, 931, 11436, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 931, 25620, 271, 931, 931, 25620, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 931, 24216, 271, 931, 931, 24216, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 8504, 24216, 271, 931, 8504, 24216, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 24646, 24216, 271, 931, 24646, 24216, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 931, 19445, 24216, 271, 931, 19445, 24216, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 6268, 19445, 24216, 271, 6268, 19445, 24216, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 25202, 19445, 24216, 271, 25202, 19445, 24216, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22054, 19242, 24430, 198, 220, 220, 931, 24187, 25454, 198, 12, 220, 29547, 220, 220, 22741, 19445, 24216, 271, 22741, 19445, 24216, 198], "tokenizer": "cl100k_base", "tokens_len": 287, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "494562726 - 676938\n\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000000008\n\n000000008\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000000088\n\n000000088\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000000788\n\n000000788\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000005788\n\n000005788\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000085788\n\n000085788\n\nBorrow: 1\n 494562726\n 000676938\n- ---------\n 000885788\n\n000885788\n\nBorrow: 0\n 494562726\n 000676938\n- ---------\n 003885788\n\n003885788\n\nBorrow: 0\n 494562726\n 000676938\n- ---------\n 093885788\n\n093885788\n\nBorrow: 0\n 494562726\n 000676938\n- ---------\n 493885788\n\n493885788\n", "id": 1355}, {"char_len": 79, "tokens": [1987, 482, 220, 1313, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1987, 198, 220, 220, 1313, 198, 12, 40614, 220, 220, 2705, 271, 2705, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1987, 198, 220, 220, 1313, 198, 12, 40614, 220, 220, 845, 271, 845, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "38 - 22\n\n\nBorrow: 0\n 38\n 22\n- --\n 06\n\n06\n\nBorrow: 0\n 38\n 22\n- --\n 16\n\n16\n", "id": 1356}, {"char_len": 346, "tokens": [679, 24061, 482, 220, 12652, 2437, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 931, 11194, 271, 931, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 931, 26866, 271, 931, 26866, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 931, 27341, 271, 931, 27341, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 931, 27341, 271, 931, 27341, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 13837, 27341, 271, 13837, 27341, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 679, 24061, 198, 220, 220, 11139, 21026, 198, 12, 11556, 7233, 220, 220, 5245, 27341, 271, 5245, 27341, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "201859 - 20902\n\n\nBorrow: 0\n 201859\n 020902\n- ------\n 000007\n\n000007\n\nBorrow: 0\n 201859\n 020902\n- ------\n 000057\n\n000057\n\nBorrow: 1\n 201859\n 020902\n- ------\n 000957\n\n000957\n\nBorrow: 0\n 201859\n 020902\n- ------\n 000957\n\n000957\n\nBorrow: 1\n 201859\n 020902\n- ------\n 080957\n\n080957\n\nBorrow: 0\n 201859\n 020902\n- ------\n 180957\n\n180957\n", "id": 1357}, {"char_len": 434, "tokens": [16590, 22913, 23, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 931, 931, 23, 271, 931, 931, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 931, 8759, 23, 271, 931, 8759, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 931, 25230, 23, 271, 931, 25230, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 931, 25230, 23, 271, 931, 25230, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 8759, 25230, 23, 271, 8759, 25230, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 26739, 25230, 23, 271, 26739, 25230, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 16590, 22913, 23, 198, 220, 220, 931, 4119, 15, 198, 12, 39707, 220, 220, 16590, 25230, 23, 271, 16590, 25230, 23, 198], "tokenizer": "cl100k_base", "tokens_len": 217, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2740558 - 10\n\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0000008\n\n0000008\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0000048\n\n0000048\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0000548\n\n0000548\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0000548\n\n0000548\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0040548\n\n0040548\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 0740548\n\n0740548\n\nBorrow: 0\n 2740558\n 0000010\n- -------\n 2740548\n\n2740548\n", "id": 1358}, {"char_len": 79, "tokens": [4767, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 4767, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2437, 271, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4767, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 5538, 271, 5538, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "76 - 14\n\n\nBorrow: 0\n 76\n 14\n- --\n 02\n\n02\n\nBorrow: 0\n 76\n 14\n- --\n 62\n\n62\n", "id": 1359}, {"char_len": 130, "tokens": [4645, 482, 220, 2096, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4645, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4645, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 26866, 271, 26866, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4645, 198, 220, 220, 20078, 198, 12, 55023, 220, 220, 26866, 271, 26866, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "101 - 44\n\n\nBorrow: 1\n 101\n 044\n- ---\n 007\n\n007\n\nBorrow: 1\n 101\n 044\n- ---\n 057\n\n057\n\nBorrow: 0\n 101\n 044\n- ---\n 057\n\n057\n", "id": 1360}, {"char_len": 262, "tokens": [19081, 1806, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 19081, 1806, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 931, 2839, 271, 931, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19081, 1806, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 931, 1419, 271, 931, 1419, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19081, 1806, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 11436, 1419, 271, 11436, 1419, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19081, 1806, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 25620, 1419, 271, 25620, 1419, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19081, 1806, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 19081, 1419, 271, 19081, 1419, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "38837 - 14\n\n\nBorrow: 0\n 38837\n 00014\n- -----\n 00003\n\n00003\n\nBorrow: 0\n 38837\n 00014\n- -----\n 00023\n\n00023\n\nBorrow: 0\n 38837\n 00014\n- -----\n 00823\n\n00823\n\nBorrow: 0\n 38837\n 00014\n- -----\n 08823\n\n08823\n\nBorrow: 0\n 38837\n 00014\n- -----\n 38823\n\n38823\n", "id": 1361}, {"char_len": 130, "tokens": [21741, 482, 220, 966, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21741, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 931, 271, 931, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21741, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 15101, 271, 15101, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21741, 198, 220, 220, 14649, 198, 12, 55023, 220, 220, 19274, 271, 19274, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "690 - 30\n\n\nBorrow: 0\n 690\n 030\n- ---\n 000\n\n000\n\nBorrow: 0\n 690\n 030\n- ---\n 060\n\n060\n\nBorrow: 0\n 690\n 030\n- ---\n 660\n\n660\n", "id": 1362}, {"char_len": 191, "tokens": [11771, 17, 482, 220, 2790, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 11771, 17, 198, 220, 220, 8759, 21, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 11771, 17, 198, 220, 220, 8759, 21, 198, 12, 11556, 198, 220, 220, 13858, 21, 271, 13858, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 17, 198, 220, 220, 8759, 21, 198, 12, 11556, 198, 220, 220, 27325, 21, 271, 27325, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11771, 17, 198, 220, 220, 8759, 21, 198, 12, 11556, 198, 220, 220, 11739, 21, 271, 11739, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1742 - 46\n\n\nBorrow: 1\n 1742\n 0046\n- ----\n 0006\n\n0006\n\nBorrow: 1\n 1742\n 0046\n- ----\n 0096\n\n0096\n\nBorrow: 0\n 1742\n 0046\n- ----\n 0696\n\n0696\n\nBorrow: 0\n 1742\n 0046\n- ----\n 1696\n\n1696\n", "id": 1363}, {"char_len": 900, "tokens": [7461, 28384, 20354, 1927, 482, 220, 10336, 17, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 931, 931, 2371, 271, 931, 931, 931, 2371, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 931, 931, 6281, 271, 931, 931, 931, 6281, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 931, 8504, 6281, 271, 931, 931, 8504, 6281, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 931, 24646, 6281, 271, 931, 931, 24646, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 931, 21535, 6281, 271, 931, 931, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 11194, 21535, 6281, 271, 931, 11194, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 28384, 21535, 6281, 271, 931, 28384, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 931, 28384, 21535, 6281, 271, 931, 28384, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 11030, 28384, 21535, 6281, 271, 11030, 28384, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 11030, 28384, 21535, 6281, 271, 11030, 28384, 21535, 6281, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 7461, 28384, 20354, 1927, 198, 220, 220, 931, 931, 16745, 2983, 198, 12, 220, 26999, 220, 220, 7461, 28384, 21535, 6281, 271, 7461, 28384, 21535, 6281, 198], "tokenizer": "cl100k_base", "tokens_len": 394, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10609760436 - 1842\n\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00000000004\n\n00000000004\n\nBorrow: 1\n 10609760436\n 00000001842\n- -----------\n 00000000094\n\n00000000094\n\nBorrow: 1\n 10609760436\n 00000001842\n- -----------\n 00000000594\n\n00000000594\n\nBorrow: 1\n 10609760436\n 00000001842\n- -----------\n 00000008594\n\n00000008594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00000058594\n\n00000058594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00000758594\n\n00000758594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00009758594\n\n00009758594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00009758594\n\n00009758594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00609758594\n\n00609758594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 00609758594\n\n00609758594\n\nBorrow: 0\n 10609760436\n 00000001842\n- -----------\n 10609758594\n\n10609758594\n", "id": 1364}, {"char_len": 130, "tokens": [11727, 482, 220, 843, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 198, 220, 220, 21040, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 198, 220, 220, 21040, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11727, 198, 220, 220, 21040, 198, 12, 55023, 220, 220, 2366, 271, 2366, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "234 - 32\n\n\nBorrow: 0\n 234\n 032\n- ---\n 002\n\n002\n\nBorrow: 0\n 234\n 032\n- ---\n 002\n\n002\n\nBorrow: 0\n 234\n 032\n- ---\n 202\n\n202\n", "id": 1365}, {"char_len": 130, "tokens": [9748, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9748, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9748, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 15901, 271, 15901, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9748, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 8011, 271, 8011, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "129 - 15\n\n\nBorrow: 0\n 129\n 015\n- ---\n 004\n\n004\n\nBorrow: 0\n 129\n 015\n- ---\n 014\n\n014\n\nBorrow: 0\n 129\n 015\n- ---\n 114\n\n114\n", "id": 1366}, {"char_len": 79, "tokens": [1544, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1544, 198, 220, 220, 508, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1544, 198, 220, 220, 508, 198, 12, 40614, 220, 220, 2589, 271, 2589, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "27 - 20\n\n\nBorrow: 0\n 27\n 20\n- --\n 07\n\n07\n\nBorrow: 0\n 27\n 20\n- --\n 07\n\n07\n", "id": 1367}, {"char_len": 130, "tokens": [12338, 482, 220, 868, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 12338, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12338, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 17248, 271, 17248, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12338, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 13460, 271, 13460, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "232 - 15\n\n\nBorrow: 1\n 232\n 015\n- ---\n 007\n\n007\n\nBorrow: 0\n 232\n 015\n- ---\n 017\n\n017\n\nBorrow: 0\n 232\n 015\n- ---\n 217\n\n217\n", "id": 1368}, {"char_len": 79, "tokens": [868, 482, 220, 1032, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 868, 198, 220, 220, 1032, 198, 12, 40614, 220, 220, 2437, 271, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 868, 198, 220, 220, 1032, 198, 12, 40614, 220, 220, 2437, 271, 2437, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "15 - 13\n\n\nBorrow: 0\n 15\n 13\n- --\n 02\n\n02\n\nBorrow: 0\n 15\n 13\n- --\n 02\n\n02\n", "id": 1369}, {"char_len": 344, "tokens": [22148, 13236, 482, 220, 5926, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 931, 10731, 271, 931, 10731, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 931, 5037, 271, 931, 5037, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 8759, 5037, 271, 8759, 5037, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 26720, 5037, 271, 26720, 5037, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22148, 13236, 198, 220, 220, 931, 5926, 198, 12, 11556, 7233, 220, 220, 22148, 5037, 271, 22148, 5037, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "784303 - 192\n\n\nBorrow: 0\n 784303\n 000192\n- ------\n 000001\n\n000001\n\nBorrow: 1\n 784303\n 000192\n- ------\n 000011\n\n000011\n\nBorrow: 0\n 784303\n 000192\n- ------\n 000111\n\n000111\n\nBorrow: 0\n 784303\n 000192\n- ------\n 004111\n\n004111\n\nBorrow: 0\n 784303\n 000192\n- ------\n 084111\n\n084111\n\nBorrow: 0\n 784303\n 000192\n- ------\n 784111\n\n784111\n", "id": 1370}, {"char_len": 262, "tokens": [17252, 2491, 482, 220, 1114, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17252, 2491, 198, 220, 220, 931, 1114, 198, 12, 81049, 220, 220, 931, 2437, 271, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17252, 2491, 198, 220, 220, 931, 1114, 198, 12, 81049, 220, 220, 931, 843, 271, 931, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17252, 2491, 198, 220, 220, 931, 1114, 198, 12, 81049, 220, 220, 931, 843, 271, 931, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17252, 2491, 198, 220, 220, 931, 1114, 198, 12, 81049, 220, 220, 14649, 843, 271, 14649, 843, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17252, 2491, 198, 220, 220, 931, 1114, 198, 12, 81049, 220, 220, 17252, 843, 271, 17252, 843, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "53049 - 17\n\n\nBorrow: 0\n 53049\n 00017\n- -----\n 00002\n\n00002\n\nBorrow: 0\n 53049\n 00017\n- -----\n 00032\n\n00032\n\nBorrow: 0\n 53049\n 00017\n- -----\n 00032\n\n00032\n\nBorrow: 0\n 53049\n 00017\n- -----\n 03032\n\n03032\n\nBorrow: 0\n 53049\n 00017\n- -----\n 53032\n\n53032\n", "id": 1371}, {"char_len": 646, "tokens": [9378, 24866, 21295, 482, 220, 2491, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 931, 13858, 271, 931, 931, 13858, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 931, 27033, 271, 931, 931, 27033, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 931, 25090, 271, 931, 931, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 4119, 25090, 271, 931, 4119, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 23545, 25090, 271, 931, 23545, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 931, 24866, 25090, 271, 931, 24866, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 13858, 24866, 25090, 271, 13858, 24866, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 25867, 24866, 25090, 271, 25867, 24866, 25090, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9378, 24866, 21295, 198, 220, 220, 931, 931, 25307, 198, 12, 220, 29547, 220, 220, 9378, 24866, 25090, 271, 9378, 24866, 25090, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "189851708 - 49\n\n\nBorrow: 1\n 189851708\n 000000049\n- ---------\n 000000009\n\n000000009\n\nBorrow: 1\n 189851708\n 000000049\n- ---------\n 000000059\n\n000000059\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 000000659\n\n000000659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 000001659\n\n000001659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 000051659\n\n000051659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 000851659\n\n000851659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 009851659\n\n009851659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 089851659\n\n089851659\n\nBorrow: 0\n 189851708\n 000000049\n- ---------\n 189851659\n\n189851659\n", "id": 1372}, {"char_len": 191, "tokens": [20823, 15, 482, 220, 1682, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 20823, 15, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 20823, 15, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 11436, 16, 271, 11436, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20823, 15, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 22000, 16, 271, 22000, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 20823, 15, 198, 220, 220, 6726, 24, 198, 12, 11556, 198, 220, 220, 21458, 16, 271, 21458, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5310 - 29\n\n\nBorrow: 1\n 5310\n 0029\n- ----\n 0001\n\n0001\n\nBorrow: 1\n 5310\n 0029\n- ----\n 0081\n\n0081\n\nBorrow: 0\n 5310\n 0029\n- ----\n 0281\n\n0281\n\nBorrow: 0\n 5310\n 0029\n- ----\n 5281\n\n5281\n", "id": 1373}, {"char_len": 646, "tokens": [10861, 3753, 23545, 482, 220, 777, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 931, 6726, 271, 931, 931, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 931, 21040, 271, 931, 931, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 931, 21040, 271, 931, 931, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 11436, 21040, 271, 931, 11436, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 26983, 21040, 271, 931, 26983, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 931, 3753, 21040, 271, 931, 3753, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 6726, 3753, 21040, 271, 6726, 3753, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 23439, 3753, 21040, 271, 23439, 3753, 21040, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10861, 3753, 23545, 198, 220, 220, 931, 931, 18089, 198, 12, 220, 29547, 220, 220, 10861, 3753, 21040, 271, 10861, 3753, 21040, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "172198051 - 19\n\n\nBorrow: 1\n 172198051\n 000000019\n- ---------\n 000000002\n\n000000002\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 000000032\n\n000000032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 000000032\n\n000000032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 000008032\n\n000008032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 000098032\n\n000098032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 000198032\n\n000198032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 002198032\n\n002198032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 072198032\n\n072198032\n\nBorrow: 0\n 172198051\n 000000019\n- ---------\n 172198032\n\n172198032\n", "id": 1374}, {"char_len": 191, "tokens": [6889, 21, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 6726, 16, 271, 6726, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 6726, 16, 271, 6726, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6889, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 4278, 16, 271, 4278, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1036 - 15\n\n\nBorrow: 0\n 1036\n 0015\n- ----\n 0001\n\n0001\n\nBorrow: 0\n 1036\n 0015\n- ----\n 0021\n\n0021\n\nBorrow: 0\n 1036\n 0015\n- ----\n 0021\n\n0021\n\nBorrow: 0\n 1036\n 0015\n- ----\n 1021\n\n1021\n", "id": 1375}, {"char_len": 343, "tokens": [14374, 20772, 482, 220, 2137, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 931, 4119, 271, 931, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 931, 18887, 271, 931, 18887, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 931, 24626, 271, 931, 24626, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 8504, 24626, 271, 8504, 24626, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 26478, 24626, 271, 26478, 24626, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14374, 20772, 198, 220, 220, 931, 21602, 198, 12, 11556, 7233, 220, 220, 14374, 24626, 271, 14374, 24626, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "265770 - 39\n\n\nBorrow: 1\n 265770\n 000039\n- ------\n 000001\n\n000001\n\nBorrow: 0\n 265770\n 000039\n- ------\n 000031\n\n000031\n\nBorrow: 0\n 265770\n 000039\n- ------\n 000731\n\n000731\n\nBorrow: 0\n 265770\n 000039\n- ------\n 005731\n\n005731\n\nBorrow: 0\n 265770\n 000039\n- ------\n 065731\n\n065731\n\nBorrow: 0\n 265770\n 000039\n- ------\n 265731\n\n265731\n", "id": 1376}, {"char_len": 346, "tokens": [8953, 24579, 482, 220, 19929, 6086, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 931, 6726, 271, 931, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 931, 21040, 271, 931, 21040, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 931, 25401, 271, 931, 25401, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 4119, 25401, 271, 4119, 25401, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 18887, 25401, 271, 18887, 25401, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8953, 24579, 198, 220, 220, 23110, 25873, 198, 12, 11556, 7233, 220, 220, 9263, 25401, 271, 9263, 25401, 198], "tokenizer": "cl100k_base", "tokens_len": 169, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "168914 - 36982\n\n\nBorrow: 0\n 168914\n 036982\n- ------\n 000002\n\n000002\n\nBorrow: 1\n 168914\n 036982\n- ------\n 000032\n\n000032\n\nBorrow: 1\n 168914\n 036982\n- ------\n 000932\n\n000932\n\nBorrow: 0\n 168914\n 036982\n- ------\n 001932\n\n001932\n\nBorrow: 0\n 168914\n 036982\n- ------\n 031932\n\n031932\n\nBorrow: 0\n 168914\n 036982\n- ------\n 131932\n\n131932\n", "id": 1377}, {"char_len": 130, "tokens": [18318, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 18318, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18318, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 18642, 271, 18642, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18318, 198, 220, 220, 16037, 198, 12, 55023, 220, 220, 16460, 271, 16460, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "437 - 15\n\n\nBorrow: 0\n 437\n 015\n- ---\n 002\n\n002\n\nBorrow: 0\n 437\n 015\n- ---\n 022\n\n022\n\nBorrow: 0\n 437\n 015\n- ---\n 422\n\n422\n", "id": 1378}, {"char_len": 130, "tokens": [6549, 482, 220, 972, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 6549, 198, 220, 220, 16745, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6549, 198, 220, 220, 16745, 198, 12, 55023, 220, 220, 11194, 271, 11194, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 6549, 198, 220, 220, 16745, 198, 12, 55023, 220, 220, 7699, 271, 7699, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "125 - 18\n\n\nBorrow: 1\n 125\n 018\n- ---\n 007\n\n007\n\nBorrow: 0\n 125\n 018\n- ---\n 007\n\n007\n\nBorrow: 0\n 125\n 018\n- ---\n 107\n\n107\n", "id": 1379}, {"char_len": 79, "tokens": [5547, 482, 220, 1958, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5547, 198, 220, 220, 1958, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5547, 198, 220, 220, 1958, 198, 12, 40614, 220, 220, 1544, 271, 1544, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "61 - 34\n\n\nBorrow: 1\n 61\n 34\n- --\n 07\n\n07\n\nBorrow: 0\n 61\n 34\n- --\n 27\n\n27\n", "id": 1380}, {"char_len": 646, "tokens": [15951, 19232, 21032, 482, 220, 1135, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 931, 8504, 271, 931, 931, 8504, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 931, 22913, 271, 931, 931, 22913, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 931, 23532, 271, 931, 931, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 931, 23532, 271, 931, 931, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 7755, 23532, 271, 931, 7755, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 931, 19232, 23532, 271, 931, 19232, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 8759, 19232, 23532, 271, 8759, 19232, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 20478, 19232, 23532, 271, 20478, 19232, 23532, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15951, 19232, 21032, 198, 220, 220, 931, 931, 16193, 198, 12, 220, 29547, 220, 220, 15951, 19232, 23532, 271, 15951, 19232, 23532, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "364810805 - 50\n\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 000000005\n\n000000005\n\nBorrow: 1\n 364810805\n 000000050\n- ---------\n 000000055\n\n000000055\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 000000755\n\n000000755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 000000755\n\n000000755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 000010755\n\n000010755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 000810755\n\n000810755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 004810755\n\n004810755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 064810755\n\n064810755\n\nBorrow: 0\n 364810805\n 000000050\n- ---------\n 364810755\n\n364810755\n", "id": 1381}, {"char_len": 79, "tokens": [3226, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 3226, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2839, 271, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 3226, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 3391, 271, 3391, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "57 - 14\n\n\nBorrow: 0\n 57\n 14\n- --\n 03\n\n03\n\nBorrow: 0\n 57\n 14\n- --\n 43\n\n43\n", "id": 1382}, {"char_len": 191, "tokens": [10559, 23, 482, 220, 1627, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 23, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 23, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 6726, 17, 271, 6726, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 23, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 24130, 17, 271, 24130, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10559, 23, 198, 220, 220, 6726, 21, 198, 12, 11556, 198, 220, 220, 9756, 17, 271, 9756, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1548 - 26\n\n\nBorrow: 0\n 1548\n 0026\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 1548\n 0026\n- ----\n 0022\n\n0022\n\nBorrow: 0\n 1548\n 0026\n- ----\n 0522\n\n0522\n\nBorrow: 0\n 1548\n 0026\n- ----\n 1522\n\n1522\n", "id": 1383}, {"char_len": 79, "tokens": [2946, 482, 220, 2096, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2946, 198, 220, 220, 2096, 198, 12, 40614, 220, 220, 2304, 271, 2304, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2946, 198, 220, 220, 2096, 198, 12, 40614, 220, 220, 868, 271, 868, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "59 - 44\n\n\nBorrow: 0\n 59\n 44\n- --\n 05\n\n05\n\nBorrow: 0\n 59\n 44\n- --\n 15\n\n15\n", "id": 1384}, {"char_len": 343, "tokens": [5037, 9716, 482, 220, 1032, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 931, 13858, 271, 931, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 931, 13858, 271, 931, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 931, 12652, 271, 931, 12652, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 4119, 12652, 271, 4119, 12652, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 10731, 12652, 271, 10731, 12652, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5037, 9716, 198, 220, 220, 931, 16368, 198, 12, 11556, 7233, 220, 220, 5037, 12652, 271, 5037, 12652, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "111222 - 13\n\n\nBorrow: 1\n 111222\n 000013\n- ------\n 000009\n\n000009\n\nBorrow: 0\n 111222\n 000013\n- ------\n 000009\n\n000009\n\nBorrow: 0\n 111222\n 000013\n- ------\n 000209\n\n000209\n\nBorrow: 0\n 111222\n 000013\n- ------\n 001209\n\n001209\n\nBorrow: 0\n 111222\n 000013\n- ------\n 011209\n\n011209\n\nBorrow: 0\n 111222\n 000013\n- ------\n 111209\n\n111209\n", "id": 1385}, {"char_len": 191, "tokens": [14206, 23, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14206, 23, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 931, 21, 271, 931, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14206, 23, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 11030, 21, 271, 11030, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14206, 23, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 21641, 21, 271, 21641, 21, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14206, 23, 198, 220, 220, 4119, 17, 198, 12, 11556, 198, 220, 220, 14057, 21, 271, 14057, 21, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2278 - 12\n\n\nBorrow: 0\n 2278\n 0012\n- ----\n 0006\n\n0006\n\nBorrow: 0\n 2278\n 0012\n- ----\n 0066\n\n0066\n\nBorrow: 0\n 2278\n 0012\n- ----\n 0266\n\n0266\n\nBorrow: 0\n 2278\n 0012\n- ----\n 2266\n\n2266\n", "id": 1386}, {"char_len": 193, "tokens": [17837, 23, 482, 220, 9263, 21, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17837, 23, 198, 220, 220, 9263, 21, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17837, 23, 198, 220, 220, 9263, 21, 198, 12, 11556, 198, 220, 220, 8759, 17, 271, 8759, 17, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17837, 23, 198, 220, 220, 9263, 21, 198, 12, 11556, 198, 220, 220, 26195, 17, 271, 26195, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17837, 23, 198, 220, 220, 9263, 21, 198, 12, 11556, 198, 220, 220, 17168, 17, 271, 17168, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 115, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "4258 - 1316\n\n\nBorrow: 0\n 4258\n 1316\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 4258\n 1316\n- ----\n 0042\n\n0042\n\nBorrow: 1\n 4258\n 1316\n- ----\n 0942\n\n0942\n\nBorrow: 0\n 4258\n 1316\n- ----\n 2942\n\n2942\n", "id": 1387}, {"char_len": 130, "tokens": [4513, 482, 220, 2813, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4513, 198, 220, 220, 23102, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4513, 198, 220, 220, 23102, 198, 12, 55023, 220, 220, 24222, 271, 24222, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4513, 198, 220, 220, 23102, 198, 12, 55023, 220, 220, 24222, 271, 24222, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "123 - 77\n\n\nBorrow: 1\n 123\n 077\n- ---\n 006\n\n006\n\nBorrow: 1\n 123\n 077\n- ---\n 046\n\n046\n\nBorrow: 0\n 123\n 077\n- ---\n 046\n\n046\n", "id": 1388}, {"char_len": 79, "tokens": [2137, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 2137, 198, 220, 220, 806, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2137, 198, 220, 220, 806, 198, 12, 40614, 220, 220, 1591, 271, 1591, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "39 - 11\n\n\nBorrow: 0\n 39\n 11\n- --\n 08\n\n08\n\nBorrow: 0\n 39\n 11\n- --\n 28\n\n28\n", "id": 1389}, {"char_len": 130, "tokens": [10350, 482, 220, 3487, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10350, 198, 220, 220, 25921, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10350, 198, 220, 220, 25921, 198, 12, 55023, 220, 220, 24996, 271, 24996, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10350, 198, 220, 220, 25921, 198, 12, 55023, 220, 220, 24996, 271, 24996, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "138 - 56\n\n\nBorrow: 0\n 138\n 056\n- ---\n 002\n\n002\n\nBorrow: 1\n 138\n 056\n- ---\n 082\n\n082\n\nBorrow: 0\n 138\n 056\n- ---\n 082\n\n082\n", "id": 1390}, {"char_len": 130, "tokens": [9565, 482, 220, 6086, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9565, 198, 220, 220, 24996, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9565, 198, 220, 220, 24996, 198, 12, 55023, 220, 220, 24130, 271, 24130, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9565, 198, 220, 220, 24996, 198, 12, 55023, 220, 220, 24130, 271, 24130, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "134 - 82\n\n\nBorrow: 0\n 134\n 082\n- ---\n 002\n\n002\n\nBorrow: 1\n 134\n 082\n- ---\n 052\n\n052\n\nBorrow: 0\n 134\n 082\n- ---\n 052\n\n052\n", "id": 1391}, {"char_len": 130, "tokens": [23987, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23987, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23987, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 27407, 271, 27407, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23987, 198, 220, 220, 11139, 198, 12, 55023, 220, 220, 25659, 271, 25659, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "799 - 20\n\n\nBorrow: 0\n 799\n 020\n- ---\n 009\n\n009\n\nBorrow: 0\n 799\n 020\n- ---\n 079\n\n079\n\nBorrow: 0\n 799\n 020\n- ---\n 779\n\n779\n", "id": 1392}, {"char_len": 192, "tokens": [4386, 16, 482, 220, 26227, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4386, 16, 198, 220, 220, 25867, 19, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4386, 16, 198, 220, 220, 25867, 19, 198, 12, 11556, 198, 220, 220, 11436, 22, 271, 11436, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4386, 16, 198, 220, 220, 25867, 19, 198, 12, 11556, 198, 220, 220, 24462, 22, 271, 24462, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4386, 16, 198, 220, 220, 25867, 19, 198, 12, 11556, 198, 220, 220, 24462, 22, 271, 24462, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1281 - 894\n\n\nBorrow: 1\n 1281\n 0894\n- ----\n 0007\n\n0007\n\nBorrow: 1\n 1281\n 0894\n- ----\n 0087\n\n0087\n\nBorrow: 1\n 1281\n 0894\n- ----\n 0387\n\n0387\n\nBorrow: 0\n 1281\n 0894\n- ----\n 0387\n\n0387\n", "id": 1393}, {"char_len": 263, "tokens": [9591, 3971, 482, 220, 9716, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 9591, 3971, 198, 220, 220, 6726, 1313, 198, 12, 81049, 220, 220, 931, 2545, 271, 931, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9591, 3971, 198, 220, 220, 6726, 1313, 198, 12, 81049, 220, 220, 931, 1682, 271, 931, 1682, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9591, 3971, 198, 220, 220, 6726, 1313, 198, 12, 81049, 220, 220, 6268, 1682, 271, 6268, 1682, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9591, 3971, 198, 220, 220, 6726, 1313, 198, 12, 81049, 220, 220, 17776, 1682, 271, 17776, 1682, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9591, 3971, 198, 220, 220, 6726, 1313, 198, 12, 81049, 220, 220, 10290, 1682, 271, 10290, 1682, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "14551 - 222\n\n\nBorrow: 1\n 14551\n 00222\n- -----\n 00009\n\n00009\n\nBorrow: 0\n 14551\n 00222\n- -----\n 00029\n\n00029\n\nBorrow: 0\n 14551\n 00222\n- -----\n 00329\n\n00329\n\nBorrow: 0\n 14551\n 00222\n- -----\n 04329\n\n04329\n\nBorrow: 0\n 14551\n 00222\n- -----\n 14329\n\n14329\n", "id": 1394}, {"char_len": 79, "tokens": [605, 482, 220, 605, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 605, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 410, 271, 410, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 605, 198, 220, 220, 605, 198, 12, 40614, 220, 220, 410, 271, 410, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "10 - 10\n\n\nBorrow: 0\n 10\n 10\n- --\n 00\n\n00\n\nBorrow: 0\n 10\n 10\n- --\n 00\n\n00\n", "id": 1395}, {"char_len": 344, "tokens": [8610, 19447, 482, 220, 20153, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 931, 6268, 271, 931, 6268, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 931, 24254, 271, 931, 24254, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 931, 24254, 271, 931, 24254, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 931, 24254, 271, 931, 24254, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 11139, 24254, 271, 11139, 24254, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8610, 19447, 198, 220, 220, 931, 20153, 198, 12, 11556, 7233, 220, 220, 8610, 24254, 271, 8610, 24254, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "220496 - 433\n\n\nBorrow: 0\n 220496\n 000433\n- ------\n 000003\n\n000003\n\nBorrow: 0\n 220496\n 000433\n- ------\n 000063\n\n000063\n\nBorrow: 0\n 220496\n 000433\n- ------\n 000063\n\n000063\n\nBorrow: 0\n 220496\n 000433\n- ------\n 000063\n\n000063\n\nBorrow: 0\n 220496\n 000433\n- ------\n 020063\n\n020063\n\nBorrow: 0\n 220496\n 000433\n- ------\n 220063\n\n220063\n", "id": 1396}, {"char_len": 262, "tokens": [10674, 5332, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10674, 5332, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 1721, 271, 931, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10674, 5332, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 931, 5547, 271, 931, 5547, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10674, 5332, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 6726, 5547, 271, 6726, 5547, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10674, 5332, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 19222, 5547, 271, 19222, 5547, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10674, 5332, 198, 220, 220, 931, 806, 198, 12, 81049, 220, 220, 10674, 5547, 271, 10674, 5547, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "16272 - 11\n\n\nBorrow: 0\n 16272\n 00011\n- -----\n 00001\n\n00001\n\nBorrow: 0\n 16272\n 00011\n- -----\n 00061\n\n00061\n\nBorrow: 0\n 16272\n 00011\n- -----\n 00261\n\n00261\n\nBorrow: 0\n 16272\n 00011\n- -----\n 06261\n\n06261\n\nBorrow: 0\n 16272\n 00011\n- -----\n 16261\n\n16261\n", "id": 1397}, {"char_len": 774, "tokens": [4278, 19274, 16368, 17, 482, 220, 15726, 18518, 16780, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 931, 931, 22, 271, 931, 931, 931, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 931, 6268, 22, 271, 931, 931, 6268, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 931, 25077, 22, 271, 931, 931, 25077, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 931, 24742, 22, 271, 931, 931, 24742, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 931, 24742, 22, 271, 931, 931, 24742, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 7755, 24742, 22, 271, 931, 7755, 24742, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 12226, 24742, 22, 271, 931, 12226, 24742, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 931, 12226, 24742, 22, 271, 931, 12226, 24742, 22, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 17819, 12226, 24742, 22, 271, 17819, 12226, 24742, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 4278, 19274, 16368, 17, 198, 220, 220, 21040, 18634, 23273, 20, 198, 12, 31423, 220, 220, 17819, 12226, 24742, 22, 271, 17819, 12226, 24742, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 350, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1026600132 - 323490295\n\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0000000007\n\n0000000007\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0000000037\n\n0000000037\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0000000837\n\n0000000837\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0000009837\n\n0000009837\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0000009837\n\n0000009837\n\nBorrow: 0\n 1026600132\n 0323490295\n- ----------\n 0000109837\n\n0000109837\n\nBorrow: 0\n 1026600132\n 0323490295\n- ----------\n 0003109837\n\n0003109837\n\nBorrow: 0\n 1026600132\n 0323490295\n- ----------\n 0003109837\n\n0003109837\n\nBorrow: 1\n 1026600132\n 0323490295\n- ----------\n 0703109837\n\n0703109837\n\nBorrow: 0\n 1026600132\n 0323490295\n- ----------\n 0703109837\n\n0703109837\n", "id": 1398}, {"char_len": 130, "tokens": [23906, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 23906, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23906, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 24222, 271, 24222, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 23906, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 22048, 271, 22048, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "557 - 11\n\n\nBorrow: 0\n 557\n 011\n- ---\n 006\n\n006\n\nBorrow: 0\n 557\n 011\n- ---\n 046\n\n046\n\nBorrow: 0\n 557\n 011\n- ---\n 546\n\n546\n", "id": 1399}, {"char_len": 79, "tokens": [2148, 482, 220, 972, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 2148, 198, 220, 220, 972, 198, 12, 40614, 220, 220, 2839, 271, 2839, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 2148, 198, 220, 220, 972, 198, 12, 40614, 220, 220, 1032, 271, 1032, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "31 - 18\n\n\nBorrow: 1\n 31\n 18\n- --\n 03\n\n03\n\nBorrow: 0\n 31\n 18\n- --\n 13\n\n13\n", "id": 1400}, {"char_len": 130, "tokens": [26083, 482, 220, 2495, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 26083, 198, 220, 220, 24850, 198, 12, 55023, 220, 220, 8504, 271, 8504, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 26083, 198, 220, 220, 24850, 198, 12, 55023, 220, 220, 24646, 271, 24646, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26083, 198, 220, 220, 24850, 198, 12, 55023, 220, 220, 23717, 271, 23717, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "763 - 78\n\n\nBorrow: 1\n 763\n 078\n- ---\n 005\n\n005\n\nBorrow: 1\n 763\n 078\n- ---\n 085\n\n085\n\nBorrow: 0\n 763\n 078\n- ---\n 685\n\n685\n", "id": 1401}, {"char_len": 436, "tokens": [9079, 23110, 23, 482, 220, 25401, 18, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 931, 931, 20, 271, 931, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 931, 8759, 20, 271, 931, 8759, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 931, 8759, 20, 271, 931, 8759, 20, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 931, 6849, 20, 271, 931, 6849, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 11436, 6849, 20, 271, 11436, 6849, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 16745, 6849, 20, 271, 16745, 6849, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 9079, 23110, 23, 198, 220, 220, 931, 25401, 18, 198, 12, 39707, 220, 220, 8899, 6849, 20, 271, 8899, 6849, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 218, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1190368 - 9323\n\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 0000005\n\n0000005\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 0000045\n\n0000045\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 0000045\n\n0000045\n\nBorrow: 1\n 1190368\n 0009323\n- -------\n 0001045\n\n0001045\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 0081045\n\n0081045\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 0181045\n\n0181045\n\nBorrow: 0\n 1190368\n 0009323\n- -------\n 1181045\n\n1181045\n", "id": 1402}, {"char_len": 79, "tokens": [1032, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1032, 198, 220, 220, 717, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1032, 198, 220, 220, 717, 198, 12, 40614, 220, 220, 1721, 271, 1721, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "13 - 12\n\n\nBorrow: 0\n 13\n 12\n- --\n 01\n\n01\n\nBorrow: 0\n 13\n 12\n- --\n 01\n\n01\n", "id": 1403}, {"char_len": 191, "tokens": [5894, 16, 482, 220, 1272, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 16, 198, 220, 220, 8759, 15, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5894, 16, 198, 220, 220, 8759, 15, 198, 12, 11556, 198, 220, 220, 11030, 16, 271, 11030, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 16, 198, 220, 220, 8759, 15, 198, 12, 11556, 198, 220, 220, 21641, 16, 271, 21641, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 16, 198, 220, 220, 8759, 15, 198, 12, 11556, 198, 220, 220, 9390, 16, 271, 9390, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1301 - 40\n\n\nBorrow: 0\n 1301\n 0040\n- ----\n 0001\n\n0001\n\nBorrow: 1\n 1301\n 0040\n- ----\n 0061\n\n0061\n\nBorrow: 0\n 1301\n 0040\n- ----\n 0261\n\n0261\n\nBorrow: 0\n 1301\n 0040\n- ----\n 1261\n\n1261\n", "id": 1404}, {"char_len": 262, "tokens": [21985, 4103, 482, 220, 975, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 21985, 4103, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21985, 4103, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 931, 1987, 271, 931, 1987, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21985, 4103, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 11436, 1987, 271, 11436, 1987, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21985, 4103, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 16745, 1987, 271, 16745, 1987, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21985, 4103, 198, 220, 220, 931, 975, 198, 12, 81049, 220, 220, 21985, 1987, 271, 21985, 1987, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "61852 - 14\n\n\nBorrow: 1\n 61852\n 00014\n- -----\n 00008\n\n00008\n\nBorrow: 0\n 61852\n 00014\n- -----\n 00038\n\n00038\n\nBorrow: 0\n 61852\n 00014\n- -----\n 00838\n\n00838\n\nBorrow: 0\n 61852\n 00014\n- -----\n 01838\n\n01838\n\nBorrow: 0\n 61852\n 00014\n- -----\n 61838\n\n61838\n", "id": 1405}, {"char_len": 191, "tokens": [17168, 15, 482, 220, 6028, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 17168, 15, 198, 220, 220, 11194, 16, 198, 12, 11556, 198, 220, 220, 931, 24, 271, 931, 24, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17168, 15, 198, 220, 220, 11194, 16, 198, 12, 11556, 198, 220, 220, 11030, 24, 271, 11030, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17168, 15, 198, 220, 220, 11194, 16, 198, 12, 11556, 198, 220, 220, 26956, 24, 271, 26956, 24, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17168, 15, 198, 220, 220, 11194, 16, 198, 12, 11556, 198, 220, 220, 17361, 24, 271, 17361, 24, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "2940 - 71\n\n\nBorrow: 1\n 2940\n 0071\n- ----\n 0009\n\n0009\n\nBorrow: 1\n 2940\n 0071\n- ----\n 0069\n\n0069\n\nBorrow: 0\n 2940\n 0071\n- ----\n 0869\n\n0869\n\nBorrow: 0\n 2940\n 0071\n- ----\n 2869\n\n2869\n", "id": 1406}, {"char_len": 130, "tokens": [11908, 482, 220, 717, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 4119, 271, 4119, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 23324, 271, 23324, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11908, 198, 220, 220, 11531, 198, 12, 55023, 220, 220, 10718, 271, 10718, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "173 - 12\n\n\nBorrow: 0\n 173\n 012\n- ---\n 001\n\n001\n\nBorrow: 0\n 173\n 012\n- ---\n 061\n\n061\n\nBorrow: 0\n 173\n 012\n- ---\n 161\n\n161\n", "id": 1407}, {"char_len": 191, "tokens": [5894, 21, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 931, 16, 271, 931, 16, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 13858, 16, 271, 13858, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 23273, 16, 271, 23273, 16, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 5894, 21, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 9748, 16, 271, 9748, 16, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1306 - 15\n\n\nBorrow: 0\n 1306\n 0015\n- ----\n 0001\n\n0001\n\nBorrow: 1\n 1306\n 0015\n- ----\n 0091\n\n0091\n\nBorrow: 0\n 1306\n 0015\n- ----\n 0291\n\n0291\n\nBorrow: 0\n 1306\n 0015\n- ----\n 1291\n\n1291\n", "id": 1408}, {"char_len": 131, "tokens": [17609, 482, 220, 10513, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 198, 220, 220, 10513, 198, 12, 55023, 220, 220, 6268, 271, 6268, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 17609, 198, 220, 220, 10513, 198, 12, 55023, 220, 220, 25779, 271, 25779, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17609, 198, 220, 220, 10513, 198, 12, 55023, 220, 220, 11908, 271, 11908, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "337 - 164\n\n\nBorrow: 0\n 337\n 164\n- ---\n 003\n\n003\n\nBorrow: 1\n 337\n 164\n- ---\n 073\n\n073\n\nBorrow: 0\n 337\n 164\n- ---\n 173\n\n173\n", "id": 1409}, {"char_len": 130, "tokens": [15741, 482, 220, 1032, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15741, 198, 220, 220, 16368, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15741, 198, 220, 220, 16368, 198, 12, 55023, 220, 220, 27033, 271, 27033, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15741, 198, 220, 220, 16368, 198, 12, 55023, 220, 220, 15537, 271, 15537, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "272 - 13\n\n\nBorrow: 1\n 272\n 013\n- ---\n 009\n\n009\n\nBorrow: 0\n 272\n 013\n- ---\n 059\n\n059\n\nBorrow: 0\n 272\n 013\n- ---\n 259\n\n259\n", "id": 1410}, {"char_len": 130, "tokens": [10288, 482, 220, 1419, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10288, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 8759, 271, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10288, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 19592, 271, 19592, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10288, 198, 220, 220, 20063, 198, 12, 55023, 220, 220, 8874, 271, 8874, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "147 - 23\n\n\nBorrow: 0\n 147\n 023\n- ---\n 004\n\n004\n\nBorrow: 0\n 147\n 023\n- ---\n 024\n\n024\n\nBorrow: 0\n 147\n 023\n- ---\n 124\n\n124\n", "id": 1411}, {"char_len": 191, "tokens": [15726, 17, 482, 220, 914, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 15726, 17, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15726, 17, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15726, 17, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 11139, 22, 271, 11139, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 15726, 17, 198, 220, 220, 6726, 20, 198, 12, 11556, 198, 220, 220, 9588, 22, 271, 9588, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3232 - 25\n\n\nBorrow: 1\n 3232\n 0025\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 3232\n 0025\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 3232\n 0025\n- ----\n 0207\n\n0207\n\nBorrow: 0\n 3232\n 0025\n- ----\n 3207\n\n3207\n", "id": 1412}, {"char_len": 191, "tokens": [26058, 20, 482, 220, 1644, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 26058, 20, 198, 220, 220, 6268, 18, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26058, 20, 198, 220, 220, 6268, 18, 198, 12, 11556, 198, 220, 220, 8759, 17, 271, 8759, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26058, 20, 198, 220, 220, 6268, 18, 198, 12, 11556, 198, 220, 220, 26720, 17, 271, 26720, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 26058, 20, 198, 220, 220, 6268, 18, 198, 12, 11556, 198, 220, 220, 25962, 17, 271, 25962, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "8875 - 33\n\n\nBorrow: 0\n 8875\n 0033\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 8875\n 0033\n- ----\n 0042\n\n0042\n\nBorrow: 0\n 8875\n 0033\n- ----\n 0842\n\n0842\n\nBorrow: 0\n 8875\n 0033\n- ----\n 8842\n\n8842\n", "id": 1413}, {"char_len": 263, "tokens": [11286, 2075, 482, 220, 9690, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11286, 2075, 198, 220, 220, 4119, 3971, 198, 12, 81049, 220, 220, 931, 2371, 271, 931, 2371, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11286, 2075, 198, 220, 220, 4119, 3971, 198, 12, 81049, 220, 220, 931, 1187, 271, 931, 1187, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11286, 2075, 198, 220, 220, 4119, 3971, 198, 12, 81049, 220, 220, 11194, 1187, 271, 11194, 1187, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11286, 2075, 198, 220, 220, 4119, 3971, 198, 12, 81049, 220, 220, 26866, 1187, 271, 26866, 1187, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11286, 2075, 198, 220, 220, 4119, 3971, 198, 12, 81049, 220, 220, 10895, 1187, 271, 10895, 1187, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "15875 - 151\n\n\nBorrow: 0\n 15875\n 00151\n- -----\n 00004\n\n00004\n\nBorrow: 0\n 15875\n 00151\n- -----\n 00024\n\n00024\n\nBorrow: 0\n 15875\n 00151\n- -----\n 00724\n\n00724\n\nBorrow: 0\n 15875\n 00151\n- -----\n 05724\n\n05724\n\nBorrow: 0\n 15875\n 00151\n- -----\n 15724\n\n15724\n", "id": 1414}, {"char_len": 79, "tokens": [508, 482, 220, 777, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 508, 198, 220, 220, 777, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 508, 198, 220, 220, 777, 198, 12, 40614, 220, 220, 1721, 271, 1721, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "20 - 19\n\n\nBorrow: 1\n 20\n 19\n- --\n 01\n\n01\n\nBorrow: 0\n 20\n 19\n- --\n 01\n\n01\n", "id": 1415}, {"char_len": 264, "tokens": [14590, 1313, 482, 220, 7529, 19, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 14590, 1313, 198, 220, 220, 18089, 975, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14590, 1313, 198, 220, 220, 18089, 975, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 14590, 1313, 198, 220, 220, 18089, 975, 198, 12, 81049, 220, 220, 11436, 2318, 271, 11436, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14590, 1313, 198, 220, 220, 18089, 975, 198, 12, 81049, 220, 220, 16745, 2318, 271, 16745, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14590, 1313, 198, 220, 220, 18089, 975, 198, 12, 81049, 220, 220, 13302, 2318, 271, 13302, 2318, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "23722 - 1914\n\n\nBorrow: 1\n 23722\n 01914\n- -----\n 00008\n\n00008\n\nBorrow: 0\n 23722\n 01914\n- -----\n 00008\n\n00008\n\nBorrow: 1\n 23722\n 01914\n- -----\n 00808\n\n00808\n\nBorrow: 0\n 23722\n 01914\n- -----\n 01808\n\n01808\n\nBorrow: 0\n 23722\n 01914\n- -----\n 21808\n\n21808\n", "id": 1416}, {"char_len": 79, "tokens": [1591, 482, 220, 508, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 508, 198, 12, 40614, 220, 220, 2318, 271, 2318, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1591, 198, 220, 220, 508, 198, 12, 40614, 220, 220, 2318, 271, 2318, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "28 - 20\n\n\nBorrow: 0\n 28\n 20\n- --\n 08\n\n08\n\nBorrow: 0\n 28\n 20\n- --\n 08\n\n08\n", "id": 1417}, {"char_len": 131, "tokens": [12754, 482, 220, 5245, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 12754, 198, 220, 220, 5245, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 12754, 198, 220, 220, 5245, 198, 12, 55023, 220, 220, 19222, 271, 19222, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 12754, 198, 220, 220, 5245, 198, 12, 55023, 220, 220, 19222, 271, 19222, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "242 - 180\n\n\nBorrow: 0\n 242\n 180\n- ---\n 002\n\n002\n\nBorrow: 1\n 242\n 180\n- ---\n 062\n\n062\n\nBorrow: 0\n 242\n 180\n- ---\n 062\n\n062\n", "id": 1418}, {"char_len": 79, "tokens": [1419, 482, 220, 975, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1419, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2545, 271, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1419, 198, 220, 220, 975, 198, 12, 40614, 220, 220, 2545, 271, 2545, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "23 - 14\n\n\nBorrow: 1\n 23\n 14\n- --\n 09\n\n09\n\nBorrow: 0\n 23\n 14\n- --\n 09\n\n09\n", "id": 1419}, {"char_len": 344, "tokens": [25399, 6843, 482, 220, 9795, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 931, 8759, 271, 931, 8759, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 931, 19592, 271, 931, 19592, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 931, 10697, 271, 931, 10697, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 11030, 10697, 271, 11030, 10697, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 26956, 10697, 271, 26956, 10697, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25399, 6843, 198, 220, 220, 931, 9795, 198, 12, 11556, 7233, 220, 220, 25399, 10697, 271, 25399, 10697, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "886360 - 136\n\n\nBorrow: 1\n 886360\n 000136\n- ------\n 000004\n\n000004\n\nBorrow: 0\n 886360\n 000136\n- ------\n 000024\n\n000024\n\nBorrow: 0\n 886360\n 000136\n- ------\n 000224\n\n000224\n\nBorrow: 0\n 886360\n 000136\n- ------\n 006224\n\n006224\n\nBorrow: 0\n 886360\n 000136\n- ------\n 086224\n\n086224\n\nBorrow: 0\n 886360\n 000136\n- ------\n 886224\n\n886224\n", "id": 1420}, {"char_len": 191, "tokens": [11242, 18, 482, 220, 1591, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 11242, 18, 198, 220, 220, 6726, 23, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11242, 18, 198, 220, 220, 6726, 23, 198, 12, 11556, 198, 220, 220, 8759, 20, 271, 8759, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11242, 18, 198, 220, 220, 6726, 23, 198, 12, 11556, 198, 220, 220, 26739, 20, 271, 26739, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11242, 18, 198, 220, 220, 6726, 23, 198, 12, 11556, 198, 220, 220, 11771, 20, 271, 11771, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1773 - 28\n\n\nBorrow: 1\n 1773\n 0028\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 1773\n 0028\n- ----\n 0045\n\n0045\n\nBorrow: 0\n 1773\n 0028\n- ----\n 0745\n\n0745\n\nBorrow: 0\n 1773\n 0028\n- ----\n 1745\n\n1745\n", "id": 1421}, {"char_len": 647, "tokens": [10841, 25665, 23545, 482, 220, 20691, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 931, 6268, 271, 931, 931, 6268, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 931, 24254, 271, 931, 931, 24254, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 931, 21290, 271, 931, 931, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 931, 21290, 271, 931, 931, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 17819, 21290, 271, 931, 17819, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 931, 22440, 21290, 271, 931, 22440, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 4119, 22440, 21290, 271, 4119, 22440, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 4119, 22440, 21290, 271, 4119, 22440, 21290, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10841, 25665, 23545, 198, 220, 220, 931, 931, 20691, 198, 12, 220, 29547, 220, 220, 10841, 22440, 21290, 271, 10841, 22440, 21290, 198], "tokenizer": "cl100k_base", "tokens_len": 286, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "401871051 - 588\n\n\nBorrow: 1\n 401871051\n 000000588\n- ---------\n 000000003\n\n000000003\n\nBorrow: 1\n 401871051\n 000000588\n- ---------\n 000000063\n\n000000063\n\nBorrow: 1\n 401871051\n 000000588\n- ---------\n 000000463\n\n000000463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 000000463\n\n000000463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 000070463\n\n000070463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 000870463\n\n000870463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 001870463\n\n001870463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 001870463\n\n001870463\n\nBorrow: 0\n 401871051\n 000000588\n- ---------\n 401870463\n\n401870463\n", "id": 1422}, {"char_len": 191, "tokens": [17592, 19, 482, 220, 975, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17592, 19, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 931, 15, 271, 931, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17592, 19, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 11194, 15, 271, 11194, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17592, 19, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 17248, 15, 271, 17248, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17592, 19, 198, 220, 220, 4119, 19, 198, 12, 11556, 198, 220, 220, 16718, 15, 271, 16718, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3184 - 14\n\n\nBorrow: 0\n 3184\n 0014\n- ----\n 0000\n\n0000\n\nBorrow: 0\n 3184\n 0014\n- ----\n 0070\n\n0070\n\nBorrow: 0\n 3184\n 0014\n- ----\n 0170\n\n0170\n\nBorrow: 0\n 3184\n 0014\n- ----\n 3170\n\n3170\n", "id": 1423}, {"char_len": 262, "tokens": [18017, 410, 482, 220, 868, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 18017, 410, 198, 220, 220, 931, 868, 198, 12, 81049, 220, 220, 931, 2304, 271, 931, 2304, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18017, 410, 198, 220, 220, 931, 868, 198, 12, 81049, 220, 220, 931, 5313, 271, 931, 5313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18017, 410, 198, 220, 220, 931, 868, 198, 12, 81049, 220, 220, 6726, 5313, 271, 6726, 5313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18017, 410, 198, 220, 220, 931, 868, 198, 12, 81049, 220, 220, 23439, 5313, 271, 23439, 5313, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18017, 410, 198, 220, 220, 931, 868, 198, 12, 81049, 220, 220, 17662, 5313, 271, 17662, 5313, 198], "tokenizer": "cl100k_base", "tokens_len": 136, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "37300 - 15\n\n\nBorrow: 1\n 37300\n 00015\n- -----\n 00005\n\n00005\n\nBorrow: 1\n 37300\n 00015\n- -----\n 00085\n\n00085\n\nBorrow: 0\n 37300\n 00015\n- -----\n 00285\n\n00285\n\nBorrow: 0\n 37300\n 00015\n- -----\n 07285\n\n07285\n\nBorrow: 0\n 37300\n 00015\n- -----\n 37285\n\n37285\n", "id": 1424}, {"char_len": 79, "tokens": [975, 482, 220, 1032, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 975, 198, 220, 220, 1032, 198, 12, 40614, 220, 220, 1721, 271, 1721, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 975, 198, 220, 220, 1032, 198, 12, 40614, 220, 220, 1721, 271, 1721, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "14 - 13\n\n\nBorrow: 0\n 14\n 13\n- --\n 01\n\n01\n\nBorrow: 0\n 14\n 13\n- --\n 01\n\n01\n", "id": 1425}, {"char_len": 343, "tokens": [18625, 7467, 482, 220, 843, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 931, 11436, 271, 931, 11436, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 931, 26661, 271, 931, 26661, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 931, 25862, 271, 931, 25862, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 4119, 25862, 271, 4119, 25862, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 10731, 25862, 271, 10731, 25862, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18625, 7467, 198, 220, 220, 931, 21040, 198, 12, 11556, 7233, 220, 220, 18625, 25862, 271, 18625, 25862, 198], "tokenizer": "cl100k_base", "tokens_len": 168, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "511900 - 32\n\n\nBorrow: 1\n 511900\n 000032\n- ------\n 000008\n\n000008\n\nBorrow: 1\n 511900\n 000032\n- ------\n 000068\n\n000068\n\nBorrow: 0\n 511900\n 000032\n- ------\n 000868\n\n000868\n\nBorrow: 0\n 511900\n 000032\n- ------\n 001868\n\n001868\n\nBorrow: 0\n 511900\n 000032\n- ------\n 011868\n\n011868\n\nBorrow: 0\n 511900\n 000032\n- ------\n 511868\n\n511868\n", "id": 1426}, {"char_len": 535, "tokens": [10410, 15951, 1187, 482, 220, 1313, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 931, 931, 2437, 271, 931, 931, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 931, 8759, 2437, 271, 931, 8759, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 931, 20478, 2437, 271, 931, 20478, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 931, 15951, 2437, 271, 931, 15951, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 11436, 15951, 2437, 271, 11436, 15951, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 23904, 15951, 2437, 271, 23904, 15951, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10410, 15951, 1187, 198, 220, 220, 931, 931, 1313, 198, 12, 90238, 220, 220, 10410, 15951, 2437, 271, 10410, 15951, 2437, 198], "tokenizer": "cl100k_base", "tokens_len": 247, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "14836424 - 22\n\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00000002\n\n00000002\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00000402\n\n00000402\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00006402\n\n00006402\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00036402\n\n00036402\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 00836402\n\n00836402\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 04836402\n\n04836402\n\nBorrow: 0\n 14836424\n 00000022\n- --------\n 14836402\n\n14836402\n", "id": 1427}, {"char_len": 191, "tokens": [22782, 16, 482, 220, 1958, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 22782, 16, 198, 220, 220, 6268, 19, 198, 12, 11556, 198, 220, 220, 931, 22, 271, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 16, 198, 220, 220, 6268, 19, 198, 12, 11556, 198, 220, 220, 8504, 22, 271, 8504, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 16, 198, 220, 220, 6268, 19, 198, 12, 11556, 198, 220, 220, 23785, 22, 271, 23785, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 22782, 16, 198, 220, 220, 6268, 19, 198, 12, 11556, 198, 220, 220, 20749, 22, 271, 20749, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5491 - 34\n\n\nBorrow: 1\n 5491\n 0034\n- ----\n 0007\n\n0007\n\nBorrow: 0\n 5491\n 0034\n- ----\n 0057\n\n0057\n\nBorrow: 0\n 5491\n 0034\n- ----\n 0457\n\n0457\n\nBorrow: 0\n 5491\n 0034\n- ----\n 5457\n\n5457\n", "id": 1428}, {"char_len": 191, "tokens": [18044, 15, 482, 220, 1114, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 18044, 15, 198, 220, 220, 4119, 22, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 15, 198, 220, 220, 4119, 22, 198, 12, 11556, 198, 220, 220, 8759, 18, 271, 8759, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 15, 198, 220, 220, 4119, 22, 198, 12, 11556, 198, 220, 220, 20478, 18, 271, 20478, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 18044, 15, 198, 220, 220, 4119, 22, 198, 12, 11556, 198, 220, 220, 15951, 18, 271, 15951, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3660 - 17\n\n\nBorrow: 1\n 3660\n 0017\n- ----\n 0003\n\n0003\n\nBorrow: 0\n 3660\n 0017\n- ----\n 0043\n\n0043\n\nBorrow: 0\n 3660\n 0017\n- ----\n 0643\n\n0643\n\nBorrow: 0\n 3660\n 0017\n- ----\n 3643\n\n3643\n", "id": 1429}, {"char_len": 130, "tokens": [24939, 482, 220, 1927, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 24939, 198, 220, 220, 23110, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 24939, 198, 220, 220, 23110, 198, 12, 55023, 220, 220, 26513, 271, 26513, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24939, 198, 220, 220, 23110, 198, 12, 55023, 220, 220, 23459, 271, 23459, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "735 - 36\n\n\nBorrow: 1\n 735\n 036\n- ---\n 009\n\n009\n\nBorrow: 1\n 735\n 036\n- ---\n 099\n\n099\n\nBorrow: 0\n 735\n 036\n- ---\n 699\n\n699\n", "id": 1430}, {"char_len": 900, "tokens": [25073, 10861, 17608, 1806, 482, 220, 25527, 21, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 931, 931, 1721, 271, 931, 931, 931, 1721, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 931, 931, 3971, 271, 931, 931, 931, 3971, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 931, 11030, 3971, 271, 931, 931, 11030, 3971, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 931, 23110, 3971, 271, 931, 931, 23110, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 931, 21600, 3971, 271, 931, 931, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 6726, 21600, 3971, 271, 931, 6726, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 23439, 21600, 3971, 271, 931, 23439, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 931, 10861, 21600, 3971, 271, 931, 10861, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 6726, 10861, 21600, 3971, 271, 6726, 10861, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 25221, 10861, 21600, 3971, 271, 25221, 10861, 21600, 3971, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25073, 10861, 17608, 1806, 198, 220, 220, 931, 931, 25779, 4218, 198, 12, 220, 26999, 220, 220, 25073, 10861, 21600, 3971, 271, 25073, 10861, 21600, 3971, 198], "tokenizer": "cl100k_base", "tokens_len": 394, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "69217261037 - 7386\n\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00000000001\n\n00000000001\n\nBorrow: 1\n 69217261037\n 00000007386\n- -----------\n 00000000051\n\n00000000051\n\nBorrow: 1\n 69217261037\n 00000007386\n- -----------\n 00000000651\n\n00000000651\n\nBorrow: 1\n 69217261037\n 00000007386\n- -----------\n 00000003651\n\n00000003651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00000053651\n\n00000053651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00000253651\n\n00000253651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00007253651\n\n00007253651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00017253651\n\n00017253651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 00217253651\n\n00217253651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 09217253651\n\n09217253651\n\nBorrow: 0\n 69217261037\n 00000007386\n- -----------\n 69217253651\n\n69217253651\n", "id": 1431}, {"char_len": 130, "tokens": [21789, 482, 220, 806, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21789, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21789, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 24130, 271, 24130, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21789, 198, 220, 220, 10731, 198, 12, 55023, 220, 220, 21478, 271, 21478, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "563 - 11\n\n\nBorrow: 0\n 563\n 011\n- ---\n 002\n\n002\n\nBorrow: 0\n 563\n 011\n- ---\n 052\n\n052\n\nBorrow: 0\n 563\n 011\n- ---\n 552\n\n552\n", "id": 1432}, {"char_len": 191, "tokens": [21177, 21, 482, 220, 2148, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21177, 21, 198, 220, 220, 6268, 16, 198, 12, 11556, 198, 220, 220, 931, 20, 271, 931, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21177, 21, 198, 220, 220, 6268, 16, 198, 12, 11556, 198, 220, 220, 4119, 20, 271, 4119, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21177, 21, 198, 220, 220, 6268, 16, 198, 12, 11556, 198, 220, 220, 11592, 20, 271, 11592, 20, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21177, 21, 198, 220, 220, 6268, 16, 198, 12, 11556, 198, 220, 220, 20767, 20, 271, 20767, 20, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "5246 - 31\n\n\nBorrow: 0\n 5246\n 0031\n- ----\n 0005\n\n0005\n\nBorrow: 0\n 5246\n 0031\n- ----\n 0015\n\n0015\n\nBorrow: 0\n 5246\n 0031\n- ----\n 0215\n\n0215\n\nBorrow: 0\n 5246\n 0031\n- ----\n 5215\n\n5215\n", "id": 1433}, {"char_len": 79, "tokens": [966, 482, 220, 1419, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 966, 198, 220, 220, 1419, 198, 12, 40614, 220, 220, 2589, 271, 2589, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 966, 198, 220, 220, 1419, 198, 12, 40614, 220, 220, 2589, 271, 2589, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "30 - 23\n\n\nBorrow: 1\n 30\n 23\n- --\n 07\n\n07\n\nBorrow: 0\n 30\n 23\n- --\n 07\n\n07\n", "id": 1434}, {"char_len": 131, "tokens": [14125, 482, 220, 679, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 198, 220, 220, 679, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 198, 220, 220, 679, 198, 12, 55023, 220, 220, 24222, 271, 24222, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 14125, 198, 220, 220, 679, 198, 12, 55023, 220, 220, 24222, 271, 24222, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "247 - 201\n\n\nBorrow: 0\n 247\n 201\n- ---\n 006\n\n006\n\nBorrow: 0\n 247\n 201\n- ---\n 046\n\n046\n\nBorrow: 0\n 247\n 201\n- ---\n 046\n\n046\n", "id": 1435}, {"char_len": 79, "tokens": [966, 482, 220, 1591, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 966, 198, 220, 220, 1591, 198, 12, 40614, 220, 220, 2437, 271, 2437, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 966, 198, 220, 220, 1591, 198, 12, 40614, 220, 220, 2437, 271, 2437, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "30 - 28\n\n\nBorrow: 1\n 30\n 28\n- --\n 02\n\n02\n\nBorrow: 0\n 30\n 28\n- --\n 02\n\n02\n", "id": 1436}, {"char_len": 191, "tokens": [11123, 22, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 22, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 22, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 931, 17, 271, 931, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 22, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 17819, 17, 271, 17819, 17, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 11123, 22, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 8258, 17, 271, 8258, 17, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1717 - 15\n\n\nBorrow: 0\n 1717\n 0015\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 1717\n 0015\n- ----\n 0002\n\n0002\n\nBorrow: 0\n 1717\n 0015\n- ----\n 0702\n\n0702\n\nBorrow: 0\n 1717\n 0015\n- ----\n 1702\n\n1702\n", "id": 1437}, {"char_len": 192, "tokens": [10967, 23, 482, 220, 8258, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 10967, 23, 198, 220, 220, 17248, 15, 198, 12, 11556, 198, 220, 220, 931, 23, 271, 931, 23, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 10967, 23, 198, 220, 220, 17248, 15, 198, 12, 11556, 198, 220, 220, 13858, 23, 271, 13858, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10967, 23, 198, 220, 220, 17248, 15, 198, 12, 11556, 198, 220, 220, 27033, 23, 271, 27033, 23, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 10967, 23, 198, 220, 220, 17248, 15, 198, 12, 11556, 198, 220, 220, 11068, 23, 271, 11068, 23, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1768 - 170\n\n\nBorrow: 0\n 1768\n 0170\n- ----\n 0008\n\n0008\n\nBorrow: 1\n 1768\n 0170\n- ----\n 0098\n\n0098\n\nBorrow: 0\n 1768\n 0170\n- ----\n 0598\n\n0598\n\nBorrow: 0\n 1768\n 0170\n- ----\n 1598\n\n1598\n", "id": 1438}, {"char_len": 79, "tokens": [1399, 482, 220, 1691, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1399, 198, 220, 220, 1691, 198, 12, 40614, 220, 220, 2545, 271, 2545, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1399, 198, 220, 220, 1691, 198, 12, 40614, 220, 220, 2137, 271, 2137, 198], "tokenizer": "cl100k_base", "tokens_len": 49, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "60 - 21\n\n\nBorrow: 1\n 60\n 21\n- --\n 09\n\n09\n\nBorrow: 0\n 60\n 21\n- --\n 39\n\n39\n", "id": 1439}, {"char_len": 130, "tokens": [24579, 482, 220, 1774, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 24579, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 13858, 271, 13858, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 24579, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 27325, 271, 27325, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24579, 198, 220, 220, 23785, 198, 12, 55023, 220, 220, 26497, 271, 26497, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "914 - 45\n\n\nBorrow: 1\n 914\n 045\n- ---\n 009\n\n009\n\nBorrow: 1\n 914\n 045\n- ---\n 069\n\n069\n\nBorrow: 0\n 914\n 045\n- ---\n 869\n\n869\n", "id": 1440}, {"char_len": 1043, "tokens": [1041, 6640, 9588, 26223, 482, 220, 21741, 25505, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 931, 11436, 271, 931, 931, 931, 11436, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 931, 24850, 271, 931, 931, 931, 24850, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 931, 17272, 271, 931, 931, 931, 17272, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 13858, 17272, 271, 931, 931, 13858, 17272, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 23273, 17272, 271, 931, 931, 23273, 17272, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 931, 24239, 17272, 271, 931, 931, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 11194, 24239, 17272, 271, 931, 11194, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 11194, 24239, 17272, 271, 931, 11194, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 7699, 24239, 17272, 271, 931, 7699, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 7699, 24239, 17272, 271, 931, 7699, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 931, 7699, 24239, 17272, 271, 931, 7699, 24239, 17272, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 1041, 6640, 9588, 26223, 198, 220, 220, 931, 931, 21741, 25505, 198, 12, 33658, 198, 220, 220, 1041, 7699, 24239, 17272, 271, 1041, 7699, 24239, 17272, 198], "tokenizer": "cl100k_base", "tokens_len": 429, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "100108320834 - 690856\n\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000000008\n\n000000000008\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000000078\n\n000000000078\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000000978\n\n000000000978\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000009978\n\n000000009978\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000029978\n\n000000029978\n\nBorrow: 1\n 100108320834\n 000000690856\n- ------------\n 000000629978\n\n000000629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 000007629978\n\n000007629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 000007629978\n\n000007629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 000107629978\n\n000107629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 000107629978\n\n000107629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 000107629978\n\n000107629978\n\nBorrow: 0\n 100108320834\n 000000690856\n- ------------\n 100107629978\n\n100107629978\n", "id": 1441}, {"char_len": 191, "tokens": [17228, 20, 482, 220, 868, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 20, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 931, 15, 271, 931, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 20, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 6726, 15, 271, 6726, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 20, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 24130, 15, 271, 24130, 15, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17228, 20, 198, 220, 220, 4119, 20, 198, 12, 11556, 198, 220, 220, 16482, 15, 271, 16482, 15, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "3535 - 15\n\n\nBorrow: 0\n 3535\n 0015\n- ----\n 0000\n\n0000\n\nBorrow: 0\n 3535\n 0015\n- ----\n 0020\n\n0020\n\nBorrow: 0\n 3535\n 0015\n- ----\n 0520\n\n0520\n\nBorrow: 0\n 3535\n 0015\n- ----\n 3520\n\n3520\n", "id": 1442}, {"char_len": 130, "tokens": [21144, 482, 220, 5313, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 21144, 198, 220, 220, 24646, 198, 12, 55023, 220, 220, 6726, 271, 6726, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 21144, 198, 220, 220, 24646, 198, 12, 55023, 220, 220, 25221, 271, 25221, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 21144, 198, 220, 220, 24646, 198, 12, 55023, 220, 220, 19695, 271, 19695, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "477 - 85\n\n\nBorrow: 0\n 477\n 085\n- ---\n 002\n\n002\n\nBorrow: 1\n 477\n 085\n- ---\n 092\n\n092\n\nBorrow: 0\n 477\n 085\n- ---\n 392\n\n392\n", "id": 1443}, {"char_len": 264, "tokens": [24199, 2721, 482, 220, 13762, 22, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 24199, 2721, 198, 220, 220, 11592, 3534, 198, 12, 81049, 220, 220, 931, 2318, 271, 931, 2318, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 24199, 2721, 198, 220, 220, 11592, 3534, 198, 12, 81049, 220, 220, 931, 3264, 271, 931, 3264, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24199, 2721, 198, 220, 220, 11592, 3534, 198, 12, 81049, 220, 220, 931, 3264, 271, 931, 3264, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24199, 2721, 198, 220, 220, 11592, 3534, 198, 12, 81049, 220, 220, 12505, 3264, 271, 12505, 3264, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 24199, 2721, 198, 220, 220, 11592, 3534, 198, 12, 81049, 220, 220, 14033, 3264, 271, 14033, 3264, 198], "tokenizer": "cl100k_base", "tokens_len": 137, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "66295 - 2197\n\n\nBorrow: 1\n 66295\n 02197\n- -----\n 00008\n\n00008\n\nBorrow: 1\n 66295\n 02197\n- -----\n 00098\n\n00098\n\nBorrow: 0\n 66295\n 02197\n- -----\n 00098\n\n00098\n\nBorrow: 0\n 66295\n 02197\n- -----\n 04098\n\n04098\n\nBorrow: 0\n 66295\n 02197\n- -----\n 64098\n\n64098\n", "id": 1444}, {"char_len": 131, "tokens": [19068, 482, 220, 4278, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 19068, 198, 220, 220, 4278, 198, 12, 55023, 220, 220, 11436, 271, 11436, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19068, 198, 220, 220, 4278, 198, 12, 55023, 220, 220, 24850, 271, 24850, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 19068, 198, 220, 220, 4278, 198, 12, 55023, 220, 220, 25890, 271, 25890, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "980 - 102\n\n\nBorrow: 1\n 980\n 102\n- ---\n 008\n\n008\n\nBorrow: 0\n 980\n 102\n- ---\n 078\n\n078\n\nBorrow: 0\n 980\n 102\n- ---\n 878\n\n878\n", "id": 1445}, {"char_len": 130, "tokens": [8259, 482, 220, 1627, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 8259, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8259, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 28153, 271, 28153, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8259, 198, 220, 220, 21641, 198, 12, 55023, 220, 220, 28153, 271, 28153, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "122 - 26\n\n\nBorrow: 1\n 122\n 026\n- ---\n 006\n\n006\n\nBorrow: 1\n 122\n 026\n- ---\n 096\n\n096\n\nBorrow: 0\n 122\n 026\n- ---\n 096\n\n096\n", "id": 1446}, {"char_len": 191, "tokens": [8258, 24, 482, 220, 4767, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 24, 198, 220, 220, 11194, 21, 198, 12, 11556, 198, 220, 220, 931, 18, 271, 931, 18, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 8258, 24, 198, 220, 220, 11194, 21, 198, 12, 11556, 198, 220, 220, 6268, 18, 271, 6268, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 24, 198, 220, 220, 11194, 21, 198, 12, 11556, 198, 220, 220, 24254, 18, 271, 24254, 18, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 8258, 24, 198, 220, 220, 11194, 21, 198, 12, 11556, 198, 220, 220, 9892, 18, 271, 9892, 18, 198], "tokenizer": "cl100k_base", "tokens_len": 114, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "1709 - 76\n\n\nBorrow: 0\n 1709\n 0076\n- ----\n 0003\n\n0003\n\nBorrow: 1\n 1709\n 0076\n- ----\n 0033\n\n0033\n\nBorrow: 0\n 1709\n 0076\n- ----\n 0633\n\n0633\n\nBorrow: 0\n 1709\n 0076\n- ----\n 1633\n\n1633\n", "id": 1447}, {"char_len": 130, "tokens": [25150, 482, 220, 1691, 1432, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 198, 220, 220, 11592, 198, 12, 55023, 220, 220, 11030, 271, 11030, 271, 33, 7924, 25, 220, 16, 198, 220, 220, 25150, 198, 220, 220, 11592, 198, 12, 55023, 220, 220, 28153, 271, 28153, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 25150, 198, 220, 220, 11592, 198, 12, 55023, 220, 220, 23578, 271, 23578, 198], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "717 - 21\n\n\nBorrow: 0\n 717\n 021\n- ---\n 006\n\n006\n\nBorrow: 1\n 717\n 021\n- ---\n 096\n\n096\n\nBorrow: 0\n 717\n 021\n- ---\n 696\n\n696\n", "id": 1448}, {"char_len": 439, "tokens": [17521, 17458, 21, 482, 220, 20555, 7854, 24, 1432, 33, 7924, 25, 220, 16, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 931, 931, 22, 271, 931, 931, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 931, 6268, 22, 271, 931, 6268, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 931, 25779, 22, 271, 931, 25779, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 931, 21505, 22, 271, 931, 21505, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 8759, 21505, 22, 271, 8759, 21505, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 15901, 21505, 22, 271, 15901, 21505, 22, 271, 33, 7924, 25, 220, 15, 198, 220, 220, 17521, 17458, 21, 198, 220, 220, 20555, 7854, 24, 198, 12, 39707, 220, 220, 16104, 21505, 22, 271, 16104, 21505, 22, 198], "tokenizer": "cl100k_base", "tokens_len": 219, "data_type": "step_by_step_arithmetic", "kind": "subtraction", "txt": "7686786 - 4542049\n\n\nBorrow: 1\n 7686786\n 4542049\n- -------\n 0000007\n\n0000007\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 0000037\n\n0000037\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 0000737\n\n0000737\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 0004737\n\n0004737\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 0044737\n\n0044737\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 0144737\n\n0144737\n\nBorrow: 0\n 7686786\n 4542049\n- -------\n 3144737\n\n3144737\n", "id": 1449}, {"char_len": 1956, "tokens": [18902, 25, 1819, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 4489, 3883, 512, 1209, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 595, 12264, 101, 1819, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 1192, 6774, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 12264, 101, 320, 56, 75078, 220, 15, 340, 20818, 75078, 816, 8, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 56, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 320, 15, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 11861, 35, 12264, 101, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 1192, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 816, 1192, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 15, 12264, 101, 423, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 20818, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 4489, 3883, 512, 1209, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 1192, 6774, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 12264, 101, 320, 56, 75078, 220, 15, 340, 7, 83193, 35, 8, 12264, 101, 1819, 56, 75078, 816, 8, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 56, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 320, 15, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 11861, 35, 12264, 101, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 816, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 15, 12264, 101, 423, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 6774, 83193, 35, 8, 12264, 101, 816, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 816, 595, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 4489, 3883, 512, 5549, 12264, 101, 320, 56, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 1192, 6774, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 423, 8, 12264, 101, 320, 56, 75078, 220, 15, 340, 7, 83193, 35, 8, 12264, 101, 1819, 56, 75078, 816, 8, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 56, 75078, 220, 15, 8, 12264, 101, 423, 340, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 1819, 35, 12264, 101, 816, 8, 75078, 320, 35, 12264, 101, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 12264, 101, 320, 56, 75078, 816, 595, 12264, 101, 320, 35, 12264, 101, 320, 15, 75078, 816, 1192, 1209, 56, 75078, 816, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 6774, 83193, 35, 8, 12264, 101, 816, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 816, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 4489, 3883, 512, 5549, 12264, 101, 320, 56, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 816, 340, 6774, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 423, 8, 12264, 101, 320, 56, 75078, 220, 15, 340, 7, 83193, 35, 8, 12264, 101, 320, 56, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 6054, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 1819, 56, 75078, 220, 15, 8, 12264, 101, 423, 340, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 1819, 35, 12264, 101, 816, 8, 75078, 320, 35, 12264, 101, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 320, 15, 75078, 816, 1192, 20818, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 320, 56, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 320, 15, 75078, 816, 4489, 3883, 512, 5549, 12264, 101, 320, 15, 75078, 816, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 816, 340, 6774, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 423, 8, 12264, 101, 320, 15, 75078, 816, 340, 7, 83193, 35, 8, 12264, 101, 320, 56, 12264, 101, 320, 35, 12264, 101, 320, 15, 75078, 816, 6054, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 1819, 15, 75078, 816, 8, 12264, 101, 423, 340, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 1819, 35, 12264, 101, 220, 15, 8, 75078, 320, 35, 12264, 101, 816, 1192, 1209, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 340, 20818, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 35, 12264, 101, 320, 15, 75078, 816, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 12264, 101, 816, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1352, "data_type": "boolean", "txt": "Original: ((Y \u2227 Y) \u2228 (\u00acD)) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\n\nOptions:\n((D \u2228 0) \u2228 (Y \u2227 0)) \u2228 ((Y \u2227 Y) \u2228 (\u00acD))\n(((Y \u2227 Y) \u2228 (\u00acD)) \u2228 (D \u2228 0)) \u2228 (Y \u2227 0)\n(Y \u2227 Y) \u2228 ((\u00acD) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0)))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 ((Y \u2227 0) \u2228 (D \u2228 0))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 (D \u2228 (0 \u2228 (Y \u2227 0)))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 (((D \u2228 0) \u2228 Y) \u2227 ((D \u2228 0) \u2228 0))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 ((D \u2228 0) \u2228 0)\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 ((D \u2228 0) \u2228 (0 \u2227 Y))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 (D \u2228 (Y \u2227 0))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 ((0 \u2228 D) \u2228 (Y \u2227 0))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\n(Y \u2228 (\u00acD)) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\nChosen: ((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\n\nOptions:\n((D \u2228 0) \u2228 (Y \u2227 0)) \u2228 ((\u00acD) \u2228 (Y \u2227 Y))\n(((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 0)) \u2228 (Y \u2227 0)\n(\u00acD) \u2228 ((Y \u2227 Y) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0)))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((Y \u2227 0) \u2228 (D \u2228 0))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 (0 \u2228 (Y \u2227 0)))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (((D \u2228 0) \u2228 Y) \u2227 ((D \u2228 0) \u2228 0))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((D \u2228 0) \u2228 0)\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((D \u2228 0) \u2228 (0 \u2227 Y))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 (Y \u2227 0))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((0 \u2228 D) \u2228 (Y \u2227 0))\n(((\u00acD) \u2228 Y) \u2227 ((\u00acD) \u2228 Y)) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\n((\u00acD) \u2228 Y) \u2228 ((D \u2228 0) \u2228 (Y \u2227 0))\nChosen: ((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 (Y \u2227 0))\n\nOptions:\n(D \u2228 (Y \u2227 0)) \u2228 ((\u00acD) \u2228 (Y \u2227 Y))\n(((\u00acD) \u2228 (Y \u2227 Y)) \u2228 D) \u2228 (Y \u2227 0)\n(\u00acD) \u2228 ((Y \u2227 Y) \u2228 (D \u2228 (Y \u2227 0)))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((Y \u2227 0) \u2228 D)\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 ((D \u2228 Y) \u2227 (D \u2228 0))\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 0)\n((\u00acD) \u2228 (Y \u2227 Y)) \u2228 (D \u2228 (0 \u2227 Y))\n((Y \u2227 Y) \u2228 (\u00acD)) \u2228 (D \u2228 (Y \u2227 0))\n(((\u00acD) \u2228 Y) \u2227 ((\u00acD) \u2228 Y)) \u2228 (D \u2228 (Y \u2227 0))\n((\u00acD) \u2228 Y) \u2228 (D \u2228 (Y \u2227 0))\nChosen: ((\u00acD) \u2228 Y) \u2228 (D \u2228 (Y \u2227 0))\n\nOptions:\n(D \u2228 (Y \u2227 0)) \u2228 ((\u00acD) \u2228 Y)\n(((\u00acD) \u2228 Y) \u2228 D) \u2228 (Y \u2227 0)\n(\u00acD) \u2228 (Y \u2228 (D \u2228 (Y \u2227 0)))\n((\u00acD) \u2228 Y) \u2228 ((Y \u2227 0) \u2228 D)\n((\u00acD) \u2228 Y) \u2228 ((D \u2228 Y) \u2227 (D \u2228 0))\n((\u00acD) \u2228 Y) \u2228 (D \u2228 0)\n((\u00acD) \u2228 Y) \u2228 (D \u2228 (0 \u2227 Y))\n(Y \u2228 (\u00acD)) \u2228 (D \u2228 (Y \u2227 0))\nChosen: ((\u00acD) \u2228 Y) \u2228 (D \u2228 (0 \u2227 Y))\n\nOptions:\n(D \u2228 (0 \u2227 Y)) \u2228 ((\u00acD) \u2228 Y)\n(((\u00acD) \u2228 Y) \u2228 D) \u2228 (0 \u2227 Y)\n(\u00acD) \u2228 (Y \u2228 (D \u2228 (0 \u2227 Y)))\n((\u00acD) \u2228 Y) \u2228 ((0 \u2227 Y) \u2228 D)\n((\u00acD) \u2228 Y) \u2228 ((D \u2228 0) \u2227 (D \u2228 Y))\n((\u00acD) \u2228 Y) \u2228 (D \u2228 0)\n(Y \u2228 (\u00acD)) \u2228 (D \u2228 (0 \u2227 Y))\nChosen: ((\u00acD) \u2228 Y) \u2228 (D \u2228 0)", "id": 1450}, {"char_len": 288, "tokens": [18902, 25, 97265, 1209, 83193, 35, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 7, 83193, 7, 83193, 35, 595, 75078, 320, 83193, 7, 83193, 41, 1192, 83193, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 97265, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 7, 83193, 7, 83193, 41, 595, 75078, 320, 83193, 7, 83193, 35, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 41, 595, 75078, 320, 83193, 7, 83193, 35, 4489, 3883, 512, 7, 83193, 7, 83193, 35, 595, 75078, 320, 83193, 7, 83193, 41, 1192, 7, 83193, 7, 83193, 41, 595, 75078, 423, 198, 41, 75078, 320, 83193, 7, 83193, 35, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 41, 595, 75078, 423, 271, 3883, 512, 35, 75078, 320, 83193, 7, 83193, 41, 1192, 41, 75078, 423, 198, 1163, 8477, 25, 622, 75078, 423, 271, 3883, 512, 35, 75078, 622, 198, 1163, 8477, 25, 423, 75078, 622], "tokenizer": "cl100k_base", "tokens_len": 161, "data_type": "boolean", "txt": "Original: \u00ac((\u00acD) \u2228 (\u00acJ))\n\nOptions:\n(\u00ac(\u00acD)) \u2227 (\u00ac(\u00acJ))\n\u00ac((\u00acJ) \u2228 (\u00acD))\nChosen: \u00ac((\u00acJ) \u2228 (\u00acD))\n\nOptions:\n(\u00ac(\u00acJ)) \u2227 (\u00ac(\u00acD))\nChosen: (\u00ac(\u00acJ)) \u2227 (\u00ac(\u00acD))\n\nOptions:\n(\u00ac(\u00acD)) \u2227 (\u00ac(\u00acJ))\n(\u00ac(\u00acJ)) \u2227 D\nJ \u2227 (\u00ac(\u00acD))\nChosen: (\u00ac(\u00acJ)) \u2227 D\n\nOptions:\nD \u2227 (\u00ac(\u00acJ))\nJ \u2227 D\nChosen: J \u2227 D\n\nOptions:\nD \u2227 J\nChosen: D \u2227 J", "id": 1451}, {"char_len": 657, "tokens": [18902, 25, 97265, 1209, 15, 75078, 1229, 8, 12264, 101, 320, 46, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 1229, 595, 75078, 320, 83193, 7, 46, 12264, 101, 220, 15, 1192, 83193, 1209, 46, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 1229, 1192, 83193, 6774, 15, 75078, 1229, 8, 12264, 101, 507, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 507, 340, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 320, 15, 12264, 101, 507, 1192, 83193, 7, 15, 12264, 101, 320, 46, 12264, 101, 220, 15, 1192, 83193, 1209, 48, 75078, 220, 15, 8, 12264, 101, 320, 46, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 6774, 15, 75078, 1229, 8, 12264, 101, 507, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 507, 595, 75078, 320, 83193, 15, 340, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 507, 340, 83193, 7, 15, 12264, 101, 1819, 15, 75078, 1229, 8, 12264, 101, 507, 1192, 83193, 1209, 46, 12264, 101, 320, 15, 75078, 1229, 595, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 507, 8, 12264, 101, 220, 15, 340, 83193, 6774, 48, 75078, 220, 15, 8, 12264, 101, 507, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 1819, 15, 75078, 1229, 8, 12264, 101, 507, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 507, 1192, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 507, 340, 83193, 1209, 15, 12264, 101, 320, 15, 75078, 1229, 595, 12264, 101, 507, 340, 83193, 7, 15, 12264, 101, 320, 46, 12264, 101, 320, 15, 75078, 1229, 6054, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 507, 1192, 83193, 7, 15, 12264, 101, 1819, 48, 75078, 220, 15, 8, 12264, 101, 507, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 15, 12264, 101, 507, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 507, 1192, 83193, 7, 15, 12264, 101, 507, 340, 83193, 1209, 15, 12264, 101, 507, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 507, 340, 83193, 7, 15, 12264, 101, 320, 46, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 507, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 46, 340, 83193, 46, 198, 83193, 7, 46, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 46], "tokenizer": "cl100k_base", "tokens_len": 429, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2227 Q) \u2228 (O \u2228 0))\n\nOptions:\n(\u00ac(0 \u2227 Q)) \u2227 (\u00ac(O \u2228 0))\n\u00ac((O \u2228 0) \u2228 (0 \u2227 Q))\n\u00ac(((0 \u2227 Q) \u2228 O) \u2228 0)\n\u00ac((0 \u2227 Q) \u2228 O)\n\u00ac((0 \u2227 Q) \u2228 (0 \u2228 O))\n\u00ac(0 \u2228 (O \u2228 0))\n\u00ac((Q \u2227 0) \u2228 (O \u2228 0))\nChosen: \u00ac(((0 \u2227 Q) \u2228 O) \u2228 0)\n\nOptions:\n(\u00ac((0 \u2227 Q) \u2228 O)) \u2227 (\u00ac0)\n\u00ac((0 \u2227 Q) \u2228 O)\n\u00ac(0 \u2228 ((0 \u2227 Q) \u2228 O))\n\u00ac((O \u2228 (0 \u2227 Q)) \u2228 0)\n\u00ac((0 \u2228 O) \u2228 0)\n\u00ac(((Q \u2227 0) \u2228 O) \u2228 0)\nChosen: \u00ac(0 \u2228 ((0 \u2227 Q) \u2228 O))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac((0 \u2227 Q) \u2228 O))\n\u00ac((0 \u2227 Q) \u2228 O)\n\u00ac((0 \u2228 (0 \u2227 Q)) \u2228 O)\n\u00ac(0 \u2228 (O \u2228 (0 \u2227 Q)))\n\u00ac(0 \u2228 (0 \u2228 O))\n\u00ac(0 \u2228 ((Q \u2227 0) \u2228 O))\nChosen: \u00ac(0 \u2228 (0 \u2228 O))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(0 \u2228 O))\n\u00ac(0 \u2228 O)\n\u00ac((0 \u2228 O) \u2228 0)\n\u00ac((0 \u2228 0) \u2228 O)\n\u00ac(0 \u2228 (O \u2228 0))\nChosen: \u00ac(0 \u2228 O)\n\nOptions:\n(\u00ac0) \u2227 (\u00acO)\n\u00acO\n\u00ac(O \u2228 0)\nChosen: \u00acO", "id": 1452}, {"char_len": 966, "tokens": [18902, 25, 97265, 1209, 47, 12264, 101, 386, 8, 75078, 320, 15, 12264, 101, 393, 4489, 3883, 512, 7, 83193, 7, 47, 12264, 101, 386, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 393, 1192, 83193, 1209, 15, 12264, 101, 393, 8, 75078, 320, 47, 12264, 101, 386, 1192, 83193, 6774, 47, 12264, 101, 386, 8, 75078, 220, 15, 8, 12264, 101, 1819, 47, 12264, 101, 386, 8, 75078, 393, 1192, 83193, 1209, 47, 12264, 101, 386, 8, 75078, 393, 340, 83193, 1209, 47, 12264, 101, 386, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 393, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 393, 8, 75078, 320, 47, 12264, 101, 386, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 393, 595, 12264, 101, 320, 83193, 7, 47, 12264, 101, 386, 1192, 83193, 6774, 15, 12264, 101, 393, 8, 75078, 393, 8, 12264, 101, 1819, 15, 12264, 101, 393, 8, 75078, 386, 1192, 83193, 1209, 15, 12264, 101, 393, 8, 75078, 320, 44, 12264, 101, 393, 1192, 83193, 7, 47, 75078, 320, 47, 12264, 101, 386, 1192, 83193, 1209, 47, 12264, 101, 220, 15, 8, 75078, 320, 47, 12264, 101, 386, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 393, 8, 75078, 320, 44, 12264, 101, 393, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 393, 595, 12264, 101, 320, 83193, 7, 44, 12264, 101, 393, 1192, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 393, 1192, 83193, 6774, 15, 12264, 101, 393, 8, 75078, 386, 8, 12264, 101, 1819, 15, 12264, 101, 393, 8, 75078, 393, 1192, 83193, 7, 47, 75078, 320, 44, 12264, 101, 393, 1192, 83193, 1209, 47, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 393, 1192, 1163, 8477, 25, 97265, 1209, 44, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 393, 4489, 3883, 512, 7, 83193, 7, 44, 12264, 101, 393, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 393, 1192, 83193, 6774, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 1192, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 393, 340, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 6774, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 4489, 3883, 512, 7, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 220, 15, 595, 75078, 320, 83193, 1209, 44, 12264, 101, 393, 8, 75078, 393, 1192, 83193, 6774, 44, 12264, 101, 393, 8, 75078, 393, 8, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 220, 15, 1192, 83193, 67944, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 320, 44, 12264, 101, 393, 595, 75078, 11861, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 393, 1192, 83193, 6774, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 320, 47, 75078, 320, 44, 12264, 101, 393, 6054, 83193, 6774, 44, 12264, 101, 393, 8, 75078, 220, 15, 8, 12264, 101, 1819, 47, 12264, 101, 386, 8, 75078, 393, 1192, 83193, 7, 15, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 1192, 83193, 1209, 15, 75078, 320, 44, 12264, 101, 393, 595, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 1192, 83193, 6774, 47, 12264, 101, 386, 8, 75078, 220, 15, 8, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 1819, 44, 12264, 101, 393, 8, 75078, 393, 595], "tokenizer": "cl100k_base", "tokens_len": 614, "data_type": "boolean", "txt": "Original: \u00ac((P \u2228 M) \u2227 (0 \u2228 P))\n\nOptions:\n(\u00ac(P \u2228 M)) \u2228 (\u00ac(0 \u2228 P))\n\u00ac((0 \u2228 P) \u2227 (P \u2228 M))\n\u00ac(((P \u2228 M) \u2227 0) \u2228 ((P \u2228 M) \u2227 P))\n\u00ac((P \u2228 M) \u2227 P)\n\u00ac((P \u2228 M) \u2227 (P \u2228 0))\n\u00ac((M \u2228 P) \u2227 (0 \u2228 P))\nChosen: \u00ac((0 \u2228 P) \u2227 (P \u2228 M))\n\nOptions:\n(\u00ac(0 \u2228 P)) \u2228 (\u00ac(P \u2228 M))\n\u00ac(((0 \u2228 P) \u2227 P) \u2228 ((0 \u2228 P) \u2227 M))\n\u00ac((0 \u2228 P) \u2227 (M \u2228 P))\n\u00ac(P \u2227 (P \u2228 M))\n\u00ac((P \u2228 0) \u2227 (P \u2228 M))\nChosen: \u00ac((0 \u2228 P) \u2227 (M \u2228 P))\n\nOptions:\n(\u00ac(0 \u2228 P)) \u2228 (\u00ac(M \u2228 P))\n\u00ac((M \u2228 P) \u2227 (0 \u2228 P))\n\u00ac(((0 \u2228 P) \u2227 M) \u2228 ((0 \u2228 P) \u2227 P))\n\u00ac(P \u2227 (M \u2228 P))\n\u00ac((P \u2228 0) \u2227 (M \u2228 P))\nChosen: \u00ac((M \u2228 P) \u2227 (0 \u2228 P))\n\nOptions:\n(\u00ac(M \u2228 P)) \u2228 (\u00ac(0 \u2228 P))\n\u00ac(((M \u2228 P) \u2227 0) \u2228 ((M \u2228 P) \u2227 P))\n\u00ac((M \u2228 P) \u2227 P)\n\u00ac((M \u2228 P) \u2227 (P \u2228 0))\nChosen: \u00ac(((M \u2228 P) \u2227 0) \u2228 ((M \u2228 P) \u2227 P))\n\nOptions:\n(\u00ac((M \u2228 P) \u2227 0)) \u2227 (\u00ac((M \u2228 P) \u2227 P))\n\u00ac(((M \u2228 P) \u2227 P) \u2228 ((M \u2228 P) \u2227 0))\n\u00ac((((M \u2228 P) \u2227 0) \u2228 (M \u2228 P)) \u2227 (((M \u2228 P) \u2227 0) \u2228 P))\n\u00ac(((M \u2228 P) \u2227 0) \u2228 (P \u2227 (M \u2228 P)))\n\u00ac(((M \u2228 P) \u2227 0) \u2228 ((P \u2228 M) \u2227 P))\n\u00ac(0 \u2228 ((M \u2228 P) \u2227 P))\n\u00ac((0 \u2227 (M \u2228 P)) \u2228 ((M \u2228 P) \u2227 P))\n\u00ac(((P \u2228 M) \u2227 0) \u2228 ((M \u2228 P) \u2227 P))\nChosen: \u00ac(0 \u2228 ((M \u2228 P) \u2227 P))", "id": 1453}, {"char_len": 1503, "tokens": [18902, 25, 1819, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 1209, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 3844, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 6054, 6774, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 328, 595, 12264, 101, 11861, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 11861, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 320, 16, 12264, 101, 328, 6054, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 340, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 50, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 83193, 16, 8, 75078, 320, 50, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 7, 16, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 1209, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 3844, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 6054, 6774, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 595, 12264, 101, 11861, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 11861, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 320, 16, 12264, 101, 328, 6054, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 340, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 50, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 7, 15, 75078, 320, 50, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 220, 15, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 220, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 15, 198, 1209, 16, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 328, 595, 75078, 220, 15, 198, 7, 15, 75078, 320, 16, 12264, 101, 328, 595, 12264, 101, 320, 15, 75078, 320, 16, 12264, 101, 328, 1192, 15, 75078, 11861, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 15, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 320, 16, 12264, 101, 328, 6054, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 340, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 15, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 328, 1192, 15, 75078, 1819, 50, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 220, 15, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 696, 3883, 512, 15, 198, 1209, 16, 12264, 101, 328, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 198, 7, 15, 75078, 320, 16, 12264, 101, 328, 595, 12264, 101, 320, 15, 75078, 220, 16, 340, 15, 75078, 220, 16, 198, 15, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 328, 1192, 15, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 15, 75078, 320, 16, 12264, 101, 220, 16, 340, 15, 75078, 1819, 50, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 220, 15, 75078, 220, 16, 271, 3883, 512, 15, 198, 16, 75078, 220, 15, 198, 1163, 8477, 25, 220, 16, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1027, "data_type": "boolean", "txt": "Original: ((S \u2228 1) \u2227 (\u00ac1)) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n\nOptions:\n((1 \u2228 S) \u2228 (1 \u2228 S)) \u2227 ((S \u2228 1) \u2227 (\u00ac1))\n(S \u2228 1) \u2227 ((\u00ac1) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S)))\n(((S \u2228 1) \u2227 (\u00ac1)) \u2227 (1 \u2228 S)) \u2228 (((S \u2228 1) \u2227 (\u00ac1)) \u2227 (1 \u2228 S))\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 (((1 \u2228 S) \u2228 1) \u2228 S)\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 (1 \u2228 (S \u2228 (1 \u2228 S)))\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 ((1 \u2228 S) \u2228 1)\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 ((1 \u2228 S) \u2228 (S \u2228 1))\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 (1 \u2228 (1 \u2228 S))\n((S \u2228 1) \u2227 (\u00ac1)) \u2227 ((S \u2228 1) \u2228 (1 \u2228 S))\n((\u00ac1) \u2227 (S \u2228 1)) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n((S \u2228 1) \u2227 0) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n(1 \u2227 (\u00ac1)) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n((1 \u2228 S) \u2227 (\u00ac1)) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\nChosen: ((S \u2228 1) \u2227 0) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n\nOptions:\n((1 \u2228 S) \u2228 (1 \u2228 S)) \u2227 ((S \u2228 1) \u2227 0)\n(S \u2228 1) \u2227 (0 \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S)))\n(((S \u2228 1) \u2227 0) \u2227 (1 \u2228 S)) \u2228 (((S \u2228 1) \u2227 0) \u2227 (1 \u2228 S))\n((S \u2228 1) \u2227 0) \u2227 (((1 \u2228 S) \u2228 1) \u2228 S)\n((S \u2228 1) \u2227 0) \u2227 (1 \u2228 (S \u2228 (1 \u2228 S)))\n((S \u2228 1) \u2227 0) \u2227 ((1 \u2228 S) \u2228 1)\n((S \u2228 1) \u2227 0) \u2227 ((1 \u2228 S) \u2228 (S \u2228 1))\n((S \u2228 1) \u2227 0) \u2227 (1 \u2228 (1 \u2228 S))\n((S \u2228 1) \u2227 0) \u2227 ((S \u2228 1) \u2228 (1 \u2228 S))\n0 \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n(0 \u2227 (S \u2228 1)) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n(1 \u2227 0) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n((1 \u2228 S) \u2227 0) \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\nChosen: 0 \u2227 ((1 \u2228 S) \u2228 (1 \u2228 S))\n\nOptions:\n0\n((1 \u2228 S) \u2228 (1 \u2228 S)) \u2227 0\n(0 \u2227 (1 \u2228 S)) \u2228 (0 \u2227 (1 \u2228 S))\n0 \u2227 (((1 \u2228 S) \u2228 1) \u2228 S)\n0 \u2227 (1 \u2228 (S \u2228 (1 \u2228 S)))\n0 \u2227 ((1 \u2228 S) \u2228 1)\n0 \u2227 ((1 \u2228 S) \u2228 (S \u2228 1))\n0 \u2227 (1 \u2228 (1 \u2228 S))\n0 \u2227 ((S \u2228 1) \u2228 (1 \u2228 S))\nChosen: 0 \u2227 ((1 \u2228 S) \u2228 1)\n\nOptions:\n0\n((1 \u2228 S) \u2228 1) \u2227 0\n(0 \u2227 (1 \u2228 S)) \u2228 (0 \u2227 1)\n0 \u2227 1\n0 \u2227 (1 \u2228 (1 \u2228 S))\n0 \u2227 (1 \u2228 (S \u2228 1))\n0 \u2227 (1 \u2228 1)\n0 \u2227 ((S \u2228 1) \u2228 1)\nChosen: 0 \u2227 1\n\nOptions:\n0\n1 \u2227 0\nChosen: 1 \u2227 0", "id": 1454}, {"char_len": 145, "tokens": [18902, 25, 320, 83193, 7, 83193, 33, 595, 12264, 101, 320, 83193, 7, 83193, 33, 4489, 3883, 512, 7, 83193, 7, 83193, 33, 595, 12264, 101, 426, 198, 33, 12264, 101, 320, 83193, 7, 83193, 33, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 33, 595, 12264, 101, 426, 271, 3883, 512, 33, 12264, 101, 320, 83193, 7, 83193, 33, 1192, 33, 12264, 101, 426, 198, 1163, 8477, 25, 426, 12264, 101, 426, 271, 3883, 512, 33, 198, 1163, 8477, 25, 426], "tokenizer": "cl100k_base", "tokens_len": 82, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acB)) \u2228 (\u00ac(\u00acB))\n\nOptions:\n(\u00ac(\u00acB)) \u2228 B\nB \u2228 (\u00ac(\u00acB))\nChosen: (\u00ac(\u00acB)) \u2228 B\n\nOptions:\nB \u2228 (\u00ac(\u00acB))\nB \u2228 B\nChosen: B \u2228 B\n\nOptions:\nB\nChosen: B", "id": 1455}, {"char_len": 1224, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 6054, 6774, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 34, 6054, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 7, 16, 75078, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 6054, 6774, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 8, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 7, 16, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 271, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 340, 16, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 1209, 15, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 340, 7, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 16, 340, 16, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 7, 16, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 15, 8, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 16, 75078, 320, 83193, 15, 340, 16, 75078, 320, 16, 75078, 320, 83193, 15, 1192, 16, 75078, 320, 16, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 841, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2227 (\u00ac0)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00acC)) \u2227 ((0 \u2228 1) \u2227 (\u00ac0))\n(0 \u2228 1) \u2227 ((\u00ac0) \u2227 ((1 \u2228 0) \u2228 (\u00acC)))\n(((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (1 \u2228 0)) \u2228 (((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (\u00acC))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 ((\u00acC) \u2228 (1 \u2228 0))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (1 \u2228 (0 \u2228 (\u00acC)))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (1 \u2228 (\u00acC))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n((0 \u2228 1) \u2227 1) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n(1 \u2227 (\u00ac0)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\nChosen: ((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (1 \u2228 (\u00acC))\n\nOptions:\n(1 \u2228 (\u00acC)) \u2227 ((0 \u2228 1) \u2227 (\u00ac0))\n(0 \u2228 1) \u2227 ((\u00ac0) \u2227 (1 \u2228 (\u00acC)))\n(((0 \u2228 1) \u2227 (\u00ac0)) \u2227 1) \u2228 (((0 \u2228 1) \u2227 (\u00ac0)) \u2227 (\u00acC))\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 1\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 ((\u00acC) \u2228 1)\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 (1 \u2228 (\u00acC))\n((0 \u2228 1) \u2227 1) \u2227 (1 \u2228 (\u00acC))\n(1 \u2227 (\u00ac0)) \u2227 (1 \u2228 (\u00acC))\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 (1 \u2228 (\u00acC))\nChosen: ((0 \u2228 1) \u2227 (\u00ac0)) \u2227 1\n\nOptions:\n(0 \u2228 1) \u2227 (\u00ac0)\n1 \u2227 ((0 \u2228 1) \u2227 (\u00ac0))\n(0 \u2228 1) \u2227 ((\u00ac0) \u2227 1)\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 1\n((0 \u2228 1) \u2227 1) \u2227 1\n(1 \u2227 (\u00ac0)) \u2227 1\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 1\nChosen: (0 \u2228 1) \u2227 ((\u00ac0) \u2227 1)\n\nOptions:\n((\u00ac0) \u2227 1) \u2227 (0 \u2228 1)\n(0 \u2228 1) \u2227 (\u00ac0)\n(0 \u2228 1) \u2227 (1 \u2227 (\u00ac0))\n(0 \u2228 1) \u2227 (1 \u2227 1)\n1 \u2227 ((\u00ac0) \u2227 1)\n(1 \u2228 0) \u2227 ((\u00ac0) \u2227 1)\nChosen: 1 \u2227 ((\u00ac0) \u2227 1)\n\nOptions:\n(\u00ac0) \u2227 1\n((\u00ac0) \u2227 1) \u2227 1\n(1 \u2227 (\u00ac0)) \u2227 1\n1 \u2227 (\u00ac0)\n1 \u2227 (1 \u2227 (\u00ac0))\n1 \u2227 (1 \u2227 1)\nChosen: (\u00ac0) \u2227 1", "id": 1456}, {"char_len": 892, "tokens": [18902, 25, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 5417, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 6054, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 46, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 46, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 6774, 47, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 5417, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 5417, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 6774, 47, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 5417, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 1819, 47, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 5417, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 16, 12264, 101, 320, 83193, 16, 340, 7, 16, 12264, 101, 320, 47, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 5417, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 16, 696, 3883, 512, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 652, "data_type": "boolean", "txt": "Original: ((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2228 O))\n\nOptions:\n(\u00ac(1 \u2228 O)) \u2228 ((P \u2227 1) \u2228 (0 \u2228 1))\n(P \u2227 1) \u2228 ((0 \u2228 1) \u2228 (\u00ac(1 \u2228 O)))\n((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (\u00acO))\n((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)\n((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(O \u2228 1))\n((0 \u2228 1) \u2228 (P \u2227 1)) \u2228 (\u00ac(1 \u2228 O))\n(((P \u2227 1) \u2228 0) \u2228 1) \u2228 (\u00ac(1 \u2228 O))\n((P \u2227 1) \u2228 1) \u2228 (\u00ac(1 \u2228 O))\n((P \u2227 1) \u2228 (1 \u2228 0)) \u2228 (\u00ac(1 \u2228 O))\n(P \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2228 O))\n((1 \u2227 P) \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2228 O))\nChosen: ((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((P \u2227 1) \u2228 (0 \u2228 1))\n(P \u2227 1) \u2228 ((0 \u2228 1) \u2228 (\u00ac1))\n((P \u2227 1) \u2228 (0 \u2228 1)) \u2228 0\n((0 \u2228 1) \u2228 (P \u2227 1)) \u2228 (\u00ac1)\n(((P \u2227 1) \u2228 0) \u2228 1) \u2228 (\u00ac1)\n((P \u2227 1) \u2228 1) \u2228 (\u00ac1)\n((P \u2227 1) \u2228 (1 \u2228 0)) \u2228 (\u00ac1)\n(P \u2228 (0 \u2228 1)) \u2228 (\u00ac1)\n((1 \u2227 P) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)\nChosen: ((P \u2227 1) \u2228 1) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 ((P \u2227 1) \u2228 1)\n(P \u2227 1) \u2228 (1 \u2228 (\u00ac1))\n((P \u2227 1) \u2228 1) \u2228 0\n1 \u2228 (\u00ac1)\n(1 \u2228 (P \u2227 1)) \u2228 (\u00ac1)\n(P \u2228 1) \u2228 (\u00ac1)\n((1 \u2227 P) \u2228 1) \u2228 (\u00ac1)\nChosen: 1 \u2228 (\u00ac1)\n\nOptions:\n1\n(\u00ac1) \u2228 1\n1 \u2228 0\nChosen: 1", "id": 1457}, {"char_len": 1303, "tokens": [18902, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 452, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 452, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 452, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 45, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 7, 16, 75078, 320, 15, 75078, 320, 83193, 15, 7861, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 45, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 45, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 7, 16, 75078, 320, 15, 75078, 320, 83193, 15, 7861, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 19789, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 7861, 75078, 320, 16, 75078, 220, 15, 340, 16, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 23631, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 7, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 45, 8, 75078, 320, 83193, 16, 6054, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 452, 6054, 7, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 7, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 220, 16, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 58670, 3883, 512, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 7, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 26843, 75078, 220, 16, 198, 16, 75078, 220, 15, 198, 16, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 7861, 75078, 220, 15, 340, 16, 75078, 1819, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 6054, 16, 75078, 320, 15, 75078, 1819, 83193, 7, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 6054, 16, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 45, 8, 75078, 320, 83193, 16, 23631, 16, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 6054, 16, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 452, 23631, 16, 75078, 320, 15, 75078, 320, 16, 75078, 320, 83193, 7, 45, 12264, 101, 220, 16, 23631, 1163, 8477, 25, 220, 16, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 220, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 836, "data_type": "boolean", "txt": "Original: ((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2228 N))\n\nOptions:\n(\u00ac(1 \u2228 N)) \u2227 ((1 \u2227 0) \u2227 (\u00ac0))\n(1 \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2228 N)))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (\u00acN))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac(N \u2228 1))\n((\u00ac0) \u2227 (1 \u2227 0)) \u2227 (\u00ac(1 \u2228 N))\n(1 \u2227 (0 \u2227 (\u00ac0))) \u2227 (\u00ac(1 \u2228 N))\n((1 \u2227 0) \u2227 1) \u2227 (\u00ac(1 \u2228 N))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2228 N))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2228 N))\nChosen: ((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac(N \u2228 1))\n\nOptions:\n(\u00ac(N \u2228 1)) \u2227 ((1 \u2227 0) \u2227 (\u00ac0))\n(1 \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 ((\u00acN) \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n((\u00ac0) \u2227 (1 \u2227 0)) \u2227 (\u00ac(N \u2228 1))\n(1 \u2227 (0 \u2227 (\u00ac0))) \u2227 (\u00ac(N \u2228 1))\n((1 \u2227 0) \u2227 1) \u2227 (\u00ac(N \u2228 1))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(N \u2228 1))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(N \u2228 1))\nChosen: (1 \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac(N \u2228 1))) \u2227 (1 \u2227 0)\n1 \u2227 (0 \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1))))\n(1 \u2227 0) \u2227 ((\u00ac(N \u2228 1)) \u2227 (\u00ac0))\n(1 \u2227 0) \u2227 ((\u00ac0) \u2227 ((\u00acN) \u2227 (\u00ac1)))\n(1 \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n(1 \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2228 N)))\n(1 \u2227 0) \u2227 (1 \u2227 (\u00ac(N \u2228 1)))\n0 \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))\n(0 \u2227 1) \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))\nChosen: 1 \u2227 (0 \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1))))\n\nOptions:\n0 \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))\n(0 \u2227 ((\u00ac0) \u2227 (\u00ac(N \u2228 1)))) \u2227 1\n1 \u2227 0\n1 \u2227 (((\u00ac0) \u2227 (\u00ac(N \u2228 1))) \u2227 0)\n1 \u2227 ((0 \u2227 (\u00ac0)) \u2227 (\u00ac(N \u2228 1)))\n1 \u2227 (0 \u2227 ((\u00ac(N \u2228 1)) \u2227 (\u00ac0)))\n1 \u2227 (0 \u2227 ((\u00ac0) \u2227 ((\u00acN) \u2227 (\u00ac1))))\n1 \u2227 (0 \u2227 ((\u00ac0) \u2227 (\u00ac1)))\n1 \u2227 (0 \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2228 N))))\n1 \u2227 (0 \u2227 (1 \u2227 (\u00ac(N \u2228 1))))\nChosen: 1 \u2227 0\n\nOptions:\n0\n0 \u2227 1\nChosen: 0", "id": 1458}, {"char_len": 1194, "tokens": [18902, 25, 320, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 46, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 38, 8, 12264, 101, 320, 46, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 507, 1192, 1209, 83193, 7, 16, 75078, 507, 595, 12264, 101, 320, 83193, 38, 595, 12264, 101, 320, 46, 75078, 220, 15, 340, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 46, 75078, 220, 15, 8, 12264, 101, 320, 83193, 38, 1192, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 11861, 83193, 38, 8, 12264, 101, 507, 8, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 46, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 46, 75078, 220, 15, 1192, 7, 83193, 46, 8, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 46, 75078, 220, 15, 1192, 7, 83193, 7, 46, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 46, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 4489, 3883, 512, 1209, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 595, 12264, 101, 320, 83193, 7, 16, 75078, 507, 1192, 1209, 83193, 7, 16, 75078, 507, 595, 12264, 101, 320, 83193, 38, 595, 12264, 101, 320, 15, 75078, 507, 340, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 15, 75078, 507, 8, 12264, 101, 320, 83193, 38, 1192, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 11861, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 38, 8, 12264, 101, 507, 1192, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 46, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 1192, 7, 83193, 46, 8, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 1192, 7, 83193, 7, 46, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 320, 15, 75078, 507, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 507, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 38, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 75078, 507, 1192, 1209, 83193, 7, 16, 75078, 507, 595, 12264, 101, 320, 83193, 38, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 320, 83193, 38, 340, 7, 83193, 7, 16, 75078, 507, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 38, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 46, 595, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 220, 15, 340, 7, 83193, 46, 8, 12264, 101, 1819, 83193, 38, 8, 12264, 101, 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83193, 7, 16, 75078, 507, 1192, 7, 83193, 38, 8, 12264, 101, 1819, 83193, 7, 16, 75078, 507, 595, 12264, 101, 220, 15, 340, 7, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 46, 6054, 7, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 46, 1192, 7, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 7, 46, 75078, 220, 16, 6054, 1163, 8477, 25, 320, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 7, 46, 75078, 220, 16, 7861], "tokenizer": "cl100k_base", "tokens_len": 820, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 (O \u2227 0))\n\nOptions:\n((\u00acG) \u2228 (O \u2227 0)) \u2228 (\u00ac(1 \u2227 O))\n((\u00ac(1 \u2227 O)) \u2228 (\u00acG)) \u2228 (O \u2227 0)\n(\u00ac(1 \u2227 O)) \u2228 ((O \u2227 0) \u2228 (\u00acG))\n(\u00ac(1 \u2227 O)) \u2228 (((\u00acG) \u2228 O) \u2227 ((\u00acG) \u2228 0))\n(\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 0)\n(\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 (0 \u2227 O))\n((\u00ac1) \u2228 (\u00acO)) \u2228 ((\u00acG) \u2228 (O \u2227 0))\n(\u00acO) \u2228 ((\u00acG) \u2228 (O \u2227 0))\n(\u00ac(O \u2227 1)) \u2228 ((\u00acG) \u2228 (O \u2227 0))\nChosen: (\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 (0 \u2227 O))\n\nOptions:\n((\u00acG) \u2228 (0 \u2227 O)) \u2228 (\u00ac(1 \u2227 O))\n((\u00ac(1 \u2227 O)) \u2228 (\u00acG)) \u2228 (0 \u2227 O)\n(\u00ac(1 \u2227 O)) \u2228 ((0 \u2227 O) \u2228 (\u00acG))\n(\u00ac(1 \u2227 O)) \u2228 (((\u00acG) \u2228 0) \u2227 ((\u00acG) \u2228 O))\n(\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 0)\n((\u00ac1) \u2228 (\u00acO)) \u2228 ((\u00acG) \u2228 (0 \u2227 O))\n(\u00acO) \u2228 ((\u00acG) \u2228 (0 \u2227 O))\n(\u00ac(O \u2227 1)) \u2228 ((\u00acG) \u2228 (0 \u2227 O))\nChosen: (\u00ac(1 \u2227 O)) \u2228 ((\u00acG) \u2228 0)\n\nOptions:\n((\u00acG) \u2228 0) \u2228 (\u00ac(1 \u2227 O))\n((\u00ac(1 \u2227 O)) \u2228 (\u00acG)) \u2228 0\n(\u00ac(1 \u2227 O)) \u2228 (\u00acG)\n(\u00ac(1 \u2227 O)) \u2228 (0 \u2228 (\u00acG))\n((\u00ac1) \u2228 (\u00acO)) \u2228 ((\u00acG) \u2228 0)\n(\u00acO) \u2228 ((\u00acG) \u2228 0)\n(\u00ac(O \u2227 1)) \u2228 ((\u00acG) \u2228 0)\nChosen: ((\u00acG) \u2228 0) \u2228 (\u00ac(1 \u2227 O))\n\nOptions:\n(\u00acG) \u2228 (0 \u2228 (\u00ac(1 \u2227 O)))\n((\u00acG) \u2228 0) \u2228 ((\u00ac1) \u2228 (\u00acO))\n((\u00acG) \u2228 0) \u2228 (\u00acO)\n((\u00acG) \u2228 0) \u2228 (\u00ac(O \u2227 1))\n(\u00acG) \u2228 (\u00ac(1 \u2227 O))\n(0 \u2228 (\u00acG)) \u2228 (\u00ac(1 \u2227 O))\nChosen: (\u00acG) \u2228 (0 \u2228 (\u00ac(1 \u2227 O)))\n\nOptions:\n(0 \u2228 (\u00ac(1 \u2227 O))) \u2228 (\u00acG)\n(\u00acG) \u2228 (\u00ac(1 \u2227 O))\n(\u00acG) \u2228 ((\u00ac(1 \u2227 O)) \u2228 0)\n(\u00acG) \u2228 (0 \u2228 ((\u00ac1) \u2228 (\u00acO)))\n(\u00acG) \u2228 (0 \u2228 (\u00acO))\n(\u00acG) \u2228 (0 \u2228 (\u00ac(O \u2227 1)))\nChosen: (\u00acG) \u2228 (0 \u2228 (\u00ac(O \u2227 1)))", "id": 1459}, 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8, 12264, 101, 320, 16, 75078, 320, 15, 75078, 445, 6054, 1163, 8477, 25, 320, 37, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 15, 75078, 445, 595], "tokenizer": "cl100k_base", "tokens_len": 1537, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (L \u2227 0)) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n\nOptions:\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\n(((\u00ac0) \u2227 (L \u2227 0)) \u2228 (F \u2228 1)) \u2228 (\u00acF)\n((\u00ac0) \u2227 (L \u2227 0)) \u2228 ((\u00acF) \u2228 (F \u2228 1))\n((\u00ac0) \u2227 (L \u2227 0)) \u2228 (F \u2228 (1 \u2228 (\u00acF)))\n((\u00ac0) \u2227 (L \u2227 0)) \u2228 (1 \u2228 (\u00acF))\n((\u00ac0) \u2227 (L \u2227 0)) \u2228 ((1 \u2228 F) \u2228 (\u00acF))\n((L \u2227 0) \u2227 (\u00ac0)) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n(((\u00ac0) \u2227 L) \u2227 0) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n((\u00ac0) \u2227 0) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n((\u00ac0) \u2227 (0 \u2227 L)) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n(1 \u2227 (L \u2227 0)) \u2228 ((F \u2228 1) \u2228 (\u00acF))\nChosen: ((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\n\nOptions:\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (L \u2227 0)))\n(((F \u2228 1) \u2228 (\u00acF)) \u2228 (\u00ac0)) \u2227 (((F \u2228 1) \u2228 (\u00acF)) \u2228 (L \u2227 0))\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((L \u2227 0) \u2227 (\u00ac0))\n((F \u2228 1) \u2228 (\u00acF)) \u2228 (((\u00ac0) \u2227 L) \u2227 0)\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 0)\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\n((F \u2228 1) \u2228 (\u00acF)) \u2228 (1 \u2227 (L \u2227 0))\n((\u00acF) \u2228 (F \u2228 1)) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\n(F \u2228 (1 \u2228 (\u00acF))) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\n(1 \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\n((1 \u2228 F) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (L \u2227 0))\nChosen: ((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\n\nOptions:\n((\u00ac0) \u2227 (0 \u2227 L)) \u2228 ((F \u2228 1) \u2228 (\u00acF))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L)))\n(((F \u2228 1) \u2228 (\u00acF)) \u2228 (\u00ac0)) \u2227 (((F \u2228 1) \u2228 (\u00acF)) \u2228 (0 \u2227 L))\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((0 \u2227 L) \u2227 (\u00ac0))\n((F \u2228 1) \u2228 (\u00acF)) \u2228 (((\u00ac0) \u2227 0) \u2227 L)\n((F \u2228 1) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 0)\n((F \u2228 1) \u2228 (\u00acF)) \u2228 (1 \u2227 (0 \u2227 L))\n((\u00acF) \u2228 (F \u2228 1)) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\n(F \u2228 (1 \u2228 (\u00acF))) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\n(1 \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\n((1 \u2228 F) \u2228 (\u00acF)) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))\nChosen: (F \u2228 1) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L)))\n\nOptions:\n((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))) \u2228 (F \u2228 1)\nF \u2228 (1 \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L))))\n(F \u2228 1) \u2228 (((\u00ac0) \u2227 (0 \u2227 L)) \u2228 (\u00acF))\n(F \u2228 1) \u2228 (((\u00acF) \u2228 (\u00ac0)) \u2227 ((\u00acF) \u2228 (0 \u2227 L)))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((0 \u2227 L) \u2227 (\u00ac0)))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 (((\u00ac0) \u2227 0) \u2227 L))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 0))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (L \u2227 0)))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 (1 \u2227 (0 \u2227 L)))\n1 \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L)))\n(1 \u2228 F) \u2228 ((\u00acF) \u2228 ((\u00ac0) \u2227 (0 \u2227 L)))\nChosen: (F \u2228 1) \u2228 ((\u00acF) \u2228 (1 \u2227 (0 \u2227 L)))\n\nOptions:\n((\u00acF) \u2228 (1 \u2227 (0 \u2227 L))) \u2228 (F \u2228 1)\n((F \u2228 1) \u2228 (\u00acF)) \u2228 (1 \u2227 (0 \u2227 L))\nF \u2228 (1 \u2228 ((\u00acF) \u2228 (1 \u2227 (0 \u2227 L))))\n(F \u2228 1) \u2228 ((1 \u2227 (0 \u2227 L)) \u2228 (\u00acF))\n(F \u2228 1) \u2228 (((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 (0 \u2227 L)))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 (0 \u2227 L))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((0 \u2227 L) \u2227 1))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 ((1 \u2227 0) \u2227 L))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 (1 \u2227 0))\n(F \u2228 1) \u2228 ((\u00acF) \u2228 (1 \u2227 (L \u2227 0)))\n1 \u2228 ((\u00acF) \u2228 (1 \u2227 (0 \u2227 L)))\n(1 \u2228 F) \u2228 ((\u00acF) \u2228 (1 \u2227 (0 \u2227 L)))\nChosen: (F \u2228 1) \u2228 ((\u00acF) \u2228 (0 \u2227 L))", "id": 1460}, {"char_len": 2295, "tokens": [18902, 25, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 38, 75078, 480, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 75078, 480, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 53, 75078, 480, 595, 75078, 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"data_type": "boolean", "txt": "Original: ((G \u2228 1) \u2228 (G \u2227 G)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n\nOptions:\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 ((G \u2228 1) \u2228 (G \u2227 G))\n(((G \u2228 1) \u2228 (G \u2227 G)) \u2227 (0 \u2228 1)) \u2228 (((G \u2228 1) \u2228 (G \u2227 G)) \u2227 (V \u2227 G))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 ((V \u2227 G) \u2228 (0 \u2228 1))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 (0 \u2228 (1 \u2228 (V \u2227 G)))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 (((0 \u2228 1) \u2228 V) \u2227 ((0 \u2228 1) \u2228 G))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 ((0 \u2228 1) \u2228 (G \u2227 V))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 (1 \u2228 (V \u2227 G))\n((G \u2228 1) \u2228 (G \u2227 G)) \u2227 ((1 \u2228 0) \u2228 (V \u2227 G))\n((G \u2227 G) \u2228 (G \u2228 1)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(G \u2228 (1 \u2228 (G \u2227 G))) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(((G \u2228 1) \u2228 G) \u2227 ((G \u2228 1) \u2228 G)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n((G \u2228 1) \u2228 G) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(1 \u2228 (G \u2227 G)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n((1 \u2228 G) \u2228 (G \u2227 G)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\nChosen: ((G \u2228 1) \u2228 G) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n\nOptions:\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 ((G \u2228 1) \u2228 G)\n(((G \u2228 1) \u2228 G) \u2227 (0 \u2228 1)) \u2228 (((G \u2228 1) \u2228 G) \u2227 (V \u2227 G))\n((G \u2228 1) \u2228 G) \u2227 ((V \u2227 G) \u2228 (0 \u2228 1))\n((G \u2228 1) \u2228 G) \u2227 (0 \u2228 (1 \u2228 (V \u2227 G)))\n((G \u2228 1) \u2228 G) \u2227 (((0 \u2228 1) \u2228 V) \u2227 ((0 \u2228 1) \u2228 G))\n((G \u2228 1) \u2228 G) \u2227 ((0 \u2228 1) \u2228 (G \u2227 V))\n((G \u2228 1) \u2228 G) \u2227 (1 \u2228 (V \u2227 G))\n((G \u2228 1) \u2228 G) \u2227 ((1 \u2228 0) \u2228 (V \u2227 G))\n(G \u2228 (G \u2228 1)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(G \u2228 (1 \u2228 G)) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(1 \u2228 G) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n((1 \u2228 G) \u2228 G) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\nChosen: ((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 ((G \u2228 1) \u2228 G)\n\nOptions:\n(((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (G \u2228 1)) \u2228 (((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 G)\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (G \u2228 (G \u2228 1))\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (G \u2228 (1 \u2228 G))\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (1 \u2228 G)\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 ((1 \u2228 G) \u2228 G)\n((V \u2227 G) \u2228 (0 \u2228 1)) \u2227 ((G \u2228 1) \u2228 G)\n(0 \u2228 (1 \u2228 (V \u2227 G))) \u2227 ((G \u2228 1) \u2228 G)\n(((0 \u2228 1) \u2228 V) \u2227 ((0 \u2228 1) \u2228 G)) \u2227 ((G \u2228 1) \u2228 G)\n((0 \u2228 1) \u2228 (G \u2227 V)) \u2227 ((G \u2228 1) \u2228 G)\n(1 \u2228 (V \u2227 G)) \u2227 ((G \u2228 1) \u2228 G)\n((1 \u2228 0) \u2228 (V \u2227 G)) \u2227 ((G \u2228 1) \u2228 G)\nChosen: ((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (1 \u2228 G)\n\nOptions:\n(1 \u2228 G) \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n(((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 1) \u2228 (((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 G)\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 1\n((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 (G \u2228 1)\n((V \u2227 G) \u2228 (0 \u2228 1)) \u2227 (1 \u2228 G)\n(0 \u2228 (1 \u2228 (V \u2227 G))) \u2227 (1 \u2228 G)\n(((0 \u2228 1) \u2228 V) \u2227 ((0 \u2228 1) \u2228 G)) \u2227 (1 \u2228 G)\n((0 \u2228 1) \u2228 (G \u2227 V)) \u2227 (1 \u2228 G)\n(1 \u2228 (V \u2227 G)) \u2227 (1 \u2228 G)\n((1 \u2228 0) \u2228 (V \u2227 G)) \u2227 (1 \u2228 G)\nChosen: ((0 \u2228 1) \u2228 (V \u2227 G)) \u2227 1\n\nOptions:\n(0 \u2228 1) \u2228 (V \u2227 G)\n1 \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))\n((V \u2227 G) \u2228 (0 \u2228 1)) \u2227 1\n(0 \u2228 (1 \u2228 (V \u2227 G))) \u2227 1\n(((0 \u2228 1) \u2228 V) \u2227 ((0 \u2228 1) \u2228 G)) \u2227 1\n((0 \u2228 1) \u2228 (G \u2227 V)) \u2227 1\n(1 \u2228 (V \u2227 G)) \u2227 1\n((1 \u2228 0) \u2228 (V \u2227 G)) \u2227 1\nChosen: 1 \u2227 ((0 \u2228 1) \u2228 (V \u2227 G))", "id": 1461}, {"char_len": 3279, "tokens": [18902, 25, 1819, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 4489, 3883, 512, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 1192, 6774, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 320, 37, 75078, 220, 16, 595, 75078, 11861, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 320, 15, 12264, 101, 350, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 15, 12264, 101, 350, 8, 75078, 320, 37, 75078, 220, 16, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 320, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 6054, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 11861, 37, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 350, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 350, 340, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 320, 37, 75078, 320, 15, 12264, 101, 350, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 16, 75078, 435, 8, 75078, 320, 15, 12264, 101, 350, 1192, 1209, 37, 75078, 350, 8, 75078, 320, 51, 75078, 220, 15, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 6774, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 8, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 4233, 75078, 320, 15, 75078, 320, 37, 75078, 350, 7861, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 1209, 51, 75078, 220, 15, 8, 75078, 320, 51, 75078, 435, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 7, 15, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 1209, 15, 75078, 350, 8, 75078, 320, 37, 75078, 350, 595, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 1163, 8477, 25, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 4489, 3883, 512, 6774, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 320, 51, 75078, 220, 15, 595, 75078, 11861, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 320, 37, 75078, 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75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 8, 12264, 101, 1819, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 6774, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 51, 75078, 220, 15, 8, 75078, 435, 595, 75078, 11861, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 350, 340, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 320, 51, 75078, 1819, 51, 75078, 220, 15, 8, 75078, 435, 1192, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 37, 75078, 320, 51, 75078, 220, 15, 595, 75078, 350, 340, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 51, 75078, 320, 15, 75078, 435, 595, 75078, 350, 340, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 11861, 15, 75078, 350, 8, 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340, 1163, 8477, 25, 320, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 696, 3883, 512, 6774, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 8, 12264, 101, 320, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 6054, 1209, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 51, 75078, 220, 15, 8, 75078, 435, 595, 75078, 1819, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 320, 51, 75078, 1819, 51, 75078, 220, 15, 8, 75078, 435, 1192, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 51, 75078, 220, 15, 8, 75078, 320, 37, 75078, 350, 1192, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 37, 75078, 320, 51, 75078, 220, 15, 595, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 51, 75078, 320, 15, 75078, 435, 595, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 11861, 15, 75078, 350, 8, 75078, 435, 8, 75078, 350, 340, 1209, 16, 75078, 320, 15, 12264, 101, 350, 595, 75078, 435, 8, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 1819, 15, 12264, 101, 350, 8, 75078, 220, 16, 595, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 350, 7861, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 350, 595, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 51, 12264, 101, 220, 15, 7861, 12264, 101, 11861, 51, 75078, 220, 15, 8, 75078, 435, 8, 75078, 350, 340, 1163, 8477, 25, 320, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 696, 3883, 512, 1209, 15, 75078, 435, 8, 75078, 350, 8, 12264, 101, 320, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 6054, 1209, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 320, 15, 75078, 435, 595, 75078, 1819, 37, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 320, 51, 75078, 320, 15, 75078, 435, 1192, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 320, 15, 75078, 320, 37, 75078, 350, 1192, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 320, 15, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 12264, 101, 1819, 37, 75078, 220, 15, 8, 75078, 350, 340, 1209, 16, 75078, 320, 15, 12264, 101, 350, 595, 75078, 435, 8, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 1209, 37, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 15, 12264, 101, 350, 595, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 1819, 15, 12264, 101, 350, 8, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 350, 7861, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 350, 595, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 7988, 75078, 320, 16, 75078, 320, 51, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 340, 1163, 8477, 25, 320, 37, 75078, 320, 16, 75078, 320, 51, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 15, 75078, 435, 8, 75078, 350, 8], "tokenizer": "cl100k_base", "tokens_len": 2007, "data_type": "boolean", "txt": "Original: ((T \u2227 0) \u2227 (F \u2227 T)) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n\nOptions:\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n(((T \u2227 0) \u2227 (F \u2227 T)) \u2228 (F \u2227 1)) \u2227 (((T \u2227 0) \u2227 (F \u2227 T)) \u2228 (0 \u2228 T))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 ((0 \u2228 T) \u2227 (F \u2227 1))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 (F \u2227 (1 \u2227 (0 \u2228 T)))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 (((F \u2227 1) \u2227 0) \u2228 ((F \u2227 1) \u2227 T))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 ((F \u2227 1) \u2227 T)\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 ((F \u2227 1) \u2227 (T \u2228 0))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 (F \u2227 (0 \u2228 T))\n((T \u2227 0) \u2227 (F \u2227 T)) \u2228 ((1 \u2227 F) \u2227 (0 \u2228 T))\n((F \u2227 T) \u2227 (T \u2227 0)) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n(((T \u2227 0) \u2227 F) \u2227 T) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n(T \u2227 (0 \u2227 (F \u2227 T))) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n((T \u2227 0) \u2227 (T \u2227 F)) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n(0 \u2227 (F \u2227 T)) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n((0 \u2227 T) \u2227 (F \u2227 T)) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\nChosen: ((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n\nOptions:\n(((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (T \u2227 0)) \u2227 (((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (F \u2227 T))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((F \u2227 T) \u2227 (T \u2227 0))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (T \u2227 (0 \u2227 (F \u2227 T)))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 (T \u2227 F))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (0 \u2227 (F \u2227 T))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((0 \u2227 T) \u2227 (F \u2227 T))\n((0 \u2228 T) \u2227 (F \u2227 1)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n(((F \u2227 1) \u2227 0) \u2228 ((F \u2227 1) \u2227 T)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n((F \u2227 1) \u2227 T) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n((F \u2227 1) \u2227 (T \u2228 0)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n(F \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n((1 \u2227 F) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\nChosen: ((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n\nOptions:\n(((T \u2227 0) \u2227 F) \u2227 T) \u2228 ((F \u2227 1) \u2227 (0 \u2228 T))\n(((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 0) \u2227 F)) \u2227 (((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (T \u2227 ((T \u2227 0) \u2227 F))\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((F \u2227 (T \u2227 0)) \u2227 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((T \u2227 (0 \u2227 F)) \u2227 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((0 \u2227 F) \u2227 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 (((0 \u2227 T) \u2227 F) \u2227 T)\n((0 \u2228 T) \u2227 (F \u2227 1)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(((F \u2227 1) \u2227 0) \u2228 ((F \u2227 1) \u2227 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n((F \u2227 1) \u2227 T) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n((F \u2227 1) \u2227 (T \u2228 0)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 (0 \u2228 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n((1 \u2227 F) \u2227 (0 \u2228 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\nChosen: (F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n\nOptions:\n(((T \u2227 0) \u2227 F) \u2227 T) \u2228 (F \u2227 (1 \u2227 (0 \u2228 T)))\n((F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((T \u2227 0) \u2227 F)) \u2227 ((F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (T \u2227 ((T \u2227 0) \u2227 F))\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((T \u2227 0) \u2227 (F \u2227 T))\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((F \u2227 (T \u2227 0)) \u2227 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((T \u2227 (0 \u2227 F)) \u2227 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (((0 \u2227 T) \u2227 F) \u2227 T)\n((1 \u2227 (0 \u2228 T)) \u2227 F) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 (0 \u2228 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 ((0 \u2228 T) \u2227 1)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 ((1 \u2227 0) \u2228 (1 \u2227 T))) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 T)) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 (T \u2228 0))) \u2228 (((T \u2227 0) \u2227 F) \u2227 T)\nChosen: (F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((0 \u2227 F) \u2227 T)\n\nOptions:\n((0 \u2227 F) \u2227 T) \u2228 (F \u2227 (1 \u2227 (0 \u2228 T)))\n((F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (0 \u2227 F)) \u2227 ((F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (T \u2227 (0 \u2227 F))\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (0 \u2227 (F \u2227 T))\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 (0 \u2227 T)\n(F \u2227 (1 \u2227 (0 \u2228 T))) \u2228 ((F \u2227 0) \u2227 T)\n((1 \u2227 (0 \u2228 T)) \u2227 F) \u2228 ((0 \u2227 F) \u2227 T)\n((F \u2227 1) \u2227 (0 \u2228 T)) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 (0 \u2228 T)) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 ((0 \u2228 T) \u2227 1)) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 ((1 \u2227 0) \u2228 (1 \u2227 T))) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 T)) \u2228 ((0 \u2227 F) \u2227 T)\n(F \u2227 (1 \u2227 (T \u2228 0))) \u2228 ((0 \u2227 F) \u2227 T)\nChosen: (F \u2227 (1 \u2227 (T \u2228 0))) \u2228 ((0 \u2227 F) \u2227 T)", "id": 1462}, {"char_len": 625, "tokens": [18902, 25, 320, 83193, 7, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 36, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 36, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 83193, 36, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 36, 6054, 7, 83193, 7, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 36, 1192, 15, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 36, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 36, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 36, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 220, 16, 198, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 83193, 36, 8, 12264, 101, 220, 16, 340, 15, 75078, 320, 16, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 36, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 36, 595, 75078, 220, 15, 198, 7, 16, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 16, 340, 16, 75078, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 36, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 83193, 7, 83193, 15, 340, 7, 83193, 7, 83193, 15, 595, 75078, 220, 16, 198, 16, 75078, 220, 15, 198, 16, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 414, "data_type": "boolean", "txt": "Original: (\u00ac(\u00ac0)) \u2227 ((1 \u2228 0) \u2228 (\u00acE))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00acE)) \u2227 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2227 (1 \u2228 0)) \u2228 ((\u00ac(\u00ac0)) \u2227 (\u00acE))\n(\u00ac(\u00ac0)) \u2227 ((\u00acE) \u2228 (1 \u2228 0))\n(\u00ac(\u00ac0)) \u2227 (1 \u2228 (0 \u2228 (\u00acE)))\n(\u00ac(\u00ac0)) \u2227 (1 \u2228 (\u00acE))\n(\u00ac(\u00ac0)) \u2227 ((0 \u2228 1) \u2228 (\u00acE))\n0 \u2227 ((1 \u2228 0) \u2228 (\u00acE))\n(\u00ac1) \u2227 ((1 \u2228 0) \u2228 (\u00acE))\nChosen: (\u00ac(\u00ac0)) \u2227 (1 \u2228 (\u00acE))\n\nOptions:\n(1 \u2228 (\u00acE)) \u2227 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2227 1) \u2228 ((\u00ac(\u00ac0)) \u2227 (\u00acE))\n(\u00ac(\u00ac0)) \u2227 1\n(\u00ac(\u00ac0)) \u2227 ((\u00acE) \u2228 1)\n0 \u2227 (1 \u2228 (\u00acE))\n(\u00ac1) \u2227 (1 \u2228 (\u00acE))\nChosen: (1 \u2228 (\u00acE)) \u2227 (\u00ac(\u00ac0))\n\nOptions:\n(1 \u2228 (\u00acE)) \u2227 0\n(1 \u2228 (\u00acE)) \u2227 (\u00ac1)\n1 \u2227 (\u00ac(\u00ac0))\n((\u00acE) \u2228 1) \u2227 (\u00ac(\u00ac0))\nChosen: 1 \u2227 (\u00ac(\u00ac0))\n\nOptions:\n\u00ac(\u00ac0)\n(\u00ac(\u00ac0)) \u2227 1\n1 \u2227 0\n1 \u2227 (\u00ac1)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1463}, {"char_len": 106, "tokens": [18902, 25, 97265, 7, 83193, 7, 32, 12264, 101, 220, 15, 4489, 3883, 512, 32, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 32, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 32, 340, 83193, 7, 83193, 7, 15, 12264, 101, 362, 1192, 1163, 8477, 25, 97265, 7, 83193, 32, 696, 3883, 512, 32, 198, 1163, 8477, 25, 362], "tokenizer": "cl100k_base", "tokens_len": 60, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(A \u2228 0))\n\nOptions:\nA \u2228 0\n\u00ac((\u00acA) \u2227 (\u00ac0))\n\u00ac(\u00acA)\n\u00ac(\u00ac(0 \u2228 A))\nChosen: \u00ac(\u00acA)\n\nOptions:\nA\nChosen: A", "id": 1464}, {"char_len": 1881, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 6774, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 52, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 52, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 6774, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 52, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 15, 12264, 101, 320, 15, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 6054, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 1192, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 15, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 696, 3883, 512, 6774, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 198, 12597, 75078, 549, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 52, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 6774, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1209, 52, 75078, 549, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 12597, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1371, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n\nOptions:\n((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 ((0 \u2228 1) \u2227 (0 \u2228 0))\n(((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)\n((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 ((0 \u2228 0) \u2228 (U \u2227 U))\n((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 (((U \u2227 U) \u2228 0) \u2228 0)\n((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 0)\n((0 \u2228 1) \u2227 (0 \u2228 0)) \u2228 (U \u2228 (0 \u2228 0))\n((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n(((0 \u2228 1) \u2227 0) \u2228 ((0 \u2228 1) \u2227 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n((0 \u2228 1) \u2227 0) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n(1 \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n((1 \u2228 0) \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\nChosen: ((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n\nOptions:\n((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 ((0 \u2228 0) \u2227 (0 \u2228 1))\n(((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)\n((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2228 0) \u2228 (U \u2227 U))\n((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((U \u2227 U) \u2228 0) \u2228 0)\n((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((U \u2227 U) \u2228 0)\n((0 \u2228 0) \u2227 (0 \u2228 1)) \u2228 (U \u2228 (0 \u2228 0))\n(((0 \u2228 0) \u2227 0) \u2228 ((0 \u2228 0) \u2227 1)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n((0 \u2228 0) \u2227 1) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n((0 \u2228 0) \u2227 (1 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n(0 \u2227 (0 \u2228 1)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\nChosen: ((0 \u2228 0) \u2227 1) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n\nOptions:\n((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 ((0 \u2228 0) \u2227 1)\n(((0 \u2228 0) \u2227 1) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)\n((0 \u2228 0) \u2227 1) \u2228 ((0 \u2228 0) \u2228 (U \u2227 U))\n((0 \u2228 0) \u2227 1) \u2228 (((U \u2227 U) \u2228 0) \u2228 0)\n((0 \u2228 0) \u2227 1) \u2228 ((U \u2227 U) \u2228 0)\n((0 \u2228 0) \u2227 1) \u2228 (U \u2228 (0 \u2228 0))\n(0 \u2228 0) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n(1 \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n(0 \u2227 1) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\nChosen: (0 \u2228 0) \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\n\nOptions:\n((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 (0 \u2228 0)\n((0 \u2228 0) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)\n0 \u2228 (0 \u2228 ((U \u2227 U) \u2228 (0 \u2228 0)))\n(0 \u2228 0) \u2228 ((0 \u2228 0) \u2228 (U \u2227 U))\n(0 \u2228 0) \u2228 (((U \u2227 U) \u2228 0) \u2228 0)\n(0 \u2228 0) \u2228 ((U \u2227 U) \u2228 0)\n(0 \u2228 0) \u2228 (U \u2228 (0 \u2228 0))\n0 \u2228 ((U \u2227 U) \u2228 (0 \u2228 0))\nChosen: ((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 (0 \u2228 0)\n\nOptions:\n(((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 0) \u2228 0\n(U \u2227 U) \u2228 ((0 \u2228 0) \u2228 (0 \u2228 0))\n((U \u2227 U) \u2228 (0 \u2228 0)) \u2228 0\n((0 \u2228 0) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)\n(((U \u2227 U) \u2228 0) \u2228 0) \u2228 (0 \u2228 0)\n((U \u2227 U) \u2228 0) \u2228 (0 \u2228 0)\n(U \u2228 (0 \u2228 0)) \u2228 (0 \u2228 0)\nChosen: ((0 \u2228 0) \u2228 (U \u2227 U)) \u2228 (0 \u2228 0)", "id": 1465}, {"char_len": 391, "tokens": [18902, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 54, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 54, 12264, 101, 432, 1192, 83193, 1209, 54, 12264, 101, 432, 8, 75078, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 75078, 468, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 432, 1192, 83193, 1209, 83193, 16, 8, 75078, 320, 49, 12264, 101, 468, 1192, 83193, 7, 15, 75078, 320, 54, 12264, 101, 432, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 49, 12264, 101, 468, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 468, 1192, 83193, 1209, 49, 12264, 101, 468, 8, 75078, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 468, 1192, 83193, 7, 15, 75078, 320, 49, 12264, 101, 468, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 49, 12264, 101, 468, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 49, 12264, 101, 468, 1192, 83193, 15, 198, 83193, 1209, 49, 12264, 101, 468, 8, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 432, 8, 12264, 101, 320, 15, 75078, 468, 1192, 83193, 7, 15, 75078, 320, 54, 12264, 101, 432, 1192, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 236, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac1) \u2227 (W \u2228 R))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(W \u2228 R))\n\u00ac((W \u2228 R) \u2227 (\u00ac1))\n\u00ac(((\u00ac1) \u2227 W) \u2228 ((\u00ac1) \u2227 R))\n\u00ac((\u00ac1) \u2227 (R \u2228 W))\n\u00ac(0 \u2227 (W \u2228 R))\nChosen: \u00ac((\u00ac1) \u2227 (R \u2228 W))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(R \u2228 W))\n\u00ac((R \u2228 W) \u2227 (\u00ac1))\n\u00ac(((\u00ac1) \u2227 R) \u2228 ((\u00ac1) \u2227 W))\n\u00ac(0 \u2227 (R \u2228 W))\nChosen: \u00ac(0 \u2227 (R \u2228 W))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(R \u2228 W))\n\u00ac0\n\u00ac((R \u2228 W) \u2227 0)\n\u00ac((0 \u2227 R) \u2228 (0 \u2227 W))\n\u00ac(0 \u2227 (W \u2228 R))\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1466}, {"char_len": 145, "tokens": [18902, 25, 320, 83193, 7, 83193, 35, 595, 12264, 101, 320, 83193, 7, 83193, 35, 4489, 3883, 512, 7, 83193, 7, 83193, 35, 595, 12264, 101, 423, 198, 35, 12264, 101, 320, 83193, 7, 83193, 35, 1192, 1163, 8477, 25, 423, 12264, 101, 320, 83193, 7, 83193, 35, 4489, 3883, 512, 7, 83193, 7, 83193, 35, 595, 12264, 101, 423, 198, 35, 12264, 101, 423, 198, 1163, 8477, 25, 423, 12264, 101, 423, 271, 3883, 512, 35, 198, 1163, 8477, 25, 423], "tokenizer": "cl100k_base", "tokens_len": 82, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acD)) \u2228 (\u00ac(\u00acD))\n\nOptions:\n(\u00ac(\u00acD)) \u2228 D\nD \u2228 (\u00ac(\u00acD))\nChosen: D \u2228 (\u00ac(\u00acD))\n\nOptions:\n(\u00ac(\u00acD)) \u2228 D\nD \u2228 D\nChosen: D \u2228 D\n\nOptions:\nD\nChosen: D", "id": 1467}, {"char_len": 651, "tokens": [18902, 25, 97265, 1209, 38, 12264, 101, 480, 8, 12264, 101, 320, 38, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 38, 12264, 101, 480, 595, 75078, 320, 83193, 7, 38, 75078, 650, 1192, 83193, 1209, 38, 75078, 650, 8, 12264, 101, 320, 38, 12264, 101, 480, 1192, 83193, 7, 38, 12264, 101, 320, 38, 12264, 101, 320, 38, 75078, 650, 6054, 83193, 6774, 38, 12264, 101, 480, 8, 12264, 101, 480, 8, 75078, 1819, 38, 12264, 101, 480, 8, 12264, 101, 650, 1192, 83193, 1209, 38, 12264, 101, 480, 8, 12264, 101, 320, 53, 75078, 480, 1192, 83193, 7, 38, 12264, 101, 320, 38, 75078, 650, 1192, 1163, 8477, 25, 97265, 1209, 38, 75078, 650, 8, 12264, 101, 320, 38, 12264, 101, 480, 4489, 3883, 512, 7, 83193, 7, 38, 75078, 650, 595, 75078, 320, 83193, 7, 38, 12264, 101, 480, 1192, 83193, 6774, 38, 75078, 650, 8, 12264, 101, 480, 8, 12264, 101, 480, 340, 83193, 1209, 38, 75078, 650, 8, 12264, 101, 480, 340, 83193, 1209, 53, 75078, 480, 8, 12264, 101, 320, 38, 12264, 101, 480, 1192, 1163, 8477, 25, 320, 83193, 7, 38, 75078, 650, 595, 75078, 320, 83193, 7, 38, 12264, 101, 480, 4489, 3883, 512, 7, 83193, 7, 38, 12264, 101, 480, 595, 75078, 320, 83193, 7, 38, 75078, 650, 1192, 7, 83193, 7, 38, 75078, 650, 595, 75078, 1819, 83193, 38, 8, 75078, 320, 83193, 38, 1192, 7, 83193, 7, 38, 75078, 650, 595, 75078, 320, 83193, 38, 340, 1209, 83193, 38, 8, 12264, 101, 320, 83193, 53, 595, 75078, 320, 83193, 7, 38, 12264, 101, 480, 1192, 7, 83193, 7, 53, 75078, 480, 595, 75078, 320, 83193, 7, 38, 12264, 101, 480, 1192, 1163, 8477, 25, 320, 83193, 7, 38, 75078, 650, 595, 75078, 320, 83193, 38, 696, 3883, 512, 7, 83193, 38, 8, 75078, 320, 83193, 7, 38, 75078, 650, 1192, 1209, 83193, 38, 8, 12264, 101, 320, 83193, 53, 595, 75078, 320, 83193, 38, 340, 7, 83193, 7, 53, 75078, 480, 595, 75078, 320, 83193, 38, 340, 1163, 8477, 25, 320, 83193, 7, 53, 75078, 480, 595, 75078, 320, 83193, 38, 696, 3883, 512, 7, 83193, 38, 8, 75078, 320, 83193, 7, 53, 75078, 480, 1192, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 38, 595, 75078, 320, 83193, 38, 340, 1163, 8477, 25, 320, 83193, 38, 8, 75078, 320, 83193, 7, 53, 75078, 480, 595], "tokenizer": "cl100k_base", "tokens_len": 397, "data_type": "boolean", "txt": "Original: \u00ac((G \u2228 G) \u2228 (G \u2227 V))\n\nOptions:\n(\u00ac(G \u2228 G)) \u2227 (\u00ac(G \u2227 V))\n\u00ac((G \u2227 V) \u2228 (G \u2228 G))\n\u00ac(G \u2228 (G \u2228 (G \u2227 V)))\n\u00ac(((G \u2228 G) \u2228 G) \u2227 ((G \u2228 G) \u2228 V))\n\u00ac((G \u2228 G) \u2228 (V \u2227 G))\n\u00ac(G \u2228 (G \u2227 V))\nChosen: \u00ac((G \u2227 V) \u2228 (G \u2228 G))\n\nOptions:\n(\u00ac(G \u2227 V)) \u2227 (\u00ac(G \u2228 G))\n\u00ac(((G \u2227 V) \u2228 G) \u2228 G)\n\u00ac((G \u2227 V) \u2228 G)\n\u00ac((V \u2227 G) \u2228 (G \u2228 G))\nChosen: (\u00ac(G \u2227 V)) \u2227 (\u00ac(G \u2228 G))\n\nOptions:\n(\u00ac(G \u2228 G)) \u2227 (\u00ac(G \u2227 V))\n(\u00ac(G \u2227 V)) \u2227 ((\u00acG) \u2227 (\u00acG))\n(\u00ac(G \u2227 V)) \u2227 (\u00acG)\n((\u00acG) \u2228 (\u00acV)) \u2227 (\u00ac(G \u2228 G))\n(\u00ac(V \u2227 G)) \u2227 (\u00ac(G \u2228 G))\nChosen: (\u00ac(G \u2227 V)) \u2227 (\u00acG)\n\nOptions:\n(\u00acG) \u2227 (\u00ac(G \u2227 V))\n((\u00acG) \u2228 (\u00acV)) \u2227 (\u00acG)\n(\u00ac(V \u2227 G)) \u2227 (\u00acG)\nChosen: (\u00ac(V \u2227 G)) \u2227 (\u00acG)\n\nOptions:\n(\u00acG) \u2227 (\u00ac(V \u2227 G))\n((\u00acV) \u2228 (\u00acG)) \u2227 (\u00acG)\nChosen: (\u00acG) \u2227 (\u00ac(V \u2227 G))", "id": 1468}, {"char_len": 1346, "tokens": [18902, 25, 1819, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 47, 75078, 393, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 393, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 47, 75078, 393, 1192, 1209, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 11861, 47, 75078, 393, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 393, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 47, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 393, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 47, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 47, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 47, 75078, 393, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 47, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 7, 16, 12264, 101, 320, 83193, 15, 595, 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220, 16, 340, 1163, 8477, 25, 1819, 47, 75078, 393, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 5417, 75078, 393, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 16, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 47, 75078, 393, 595, 12264, 101, 220, 16, 198, 5417, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 955, "data_type": "boolean", "txt": "Original: ((1 \u2228 P) \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n\nOptions:\n((P \u2227 P) \u2228 (0 \u2228 1)) \u2228 ((1 \u2228 P) \u2228 (\u00ac0))\n(((1 \u2228 P) \u2228 (\u00ac0)) \u2228 (P \u2227 P)) \u2228 (0 \u2228 1)\n(1 \u2228 P) \u2228 ((\u00ac0) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1)))\n((1 \u2228 P) \u2228 (\u00ac0)) \u2228 ((0 \u2228 1) \u2228 (P \u2227 P))\n((1 \u2228 P) \u2228 (\u00ac0)) \u2228 (((P \u2227 P) \u2228 0) \u2228 1)\n((1 \u2228 P) \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 1)\n((1 \u2228 P) \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (1 \u2228 0))\n((1 \u2228 P) \u2228 (\u00ac0)) \u2228 (P \u2228 (0 \u2228 1))\n((\u00ac0) \u2228 (1 \u2228 P)) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n(1 \u2228 (P \u2228 (\u00ac0))) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n((1 \u2228 P) \u2228 1) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n(1 \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n((P \u2228 1) \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\nChosen: (1 \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n\nOptions:\n((P \u2227 P) \u2228 (0 \u2228 1)) \u2228 (1 \u2228 (\u00ac0))\n((1 \u2228 (\u00ac0)) \u2228 (P \u2227 P)) \u2228 (0 \u2228 1)\n1 \u2228 ((\u00ac0) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1)))\n(1 \u2228 (\u00ac0)) \u2228 ((0 \u2228 1) \u2228 (P \u2227 P))\n(1 \u2228 (\u00ac0)) \u2228 (((P \u2227 P) \u2228 0) \u2228 1)\n(1 \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 1)\n(1 \u2228 (\u00ac0)) \u2228 ((P \u2227 P) \u2228 (1 \u2228 0))\n(1 \u2228 (\u00ac0)) \u2228 (P \u2228 (0 \u2228 1))\n1 \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n((\u00ac0) \u2228 1) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n(1 \u2228 1) \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\nChosen: 1 \u2228 ((P \u2227 P) \u2228 (0 \u2228 1))\n\nOptions:\n1\n((P \u2227 P) \u2228 (0 \u2228 1)) \u2228 1\n(1 \u2228 (P \u2227 P)) \u2228 (0 \u2228 1)\n1 \u2228 ((0 \u2228 1) \u2228 (P \u2227 P))\n1 \u2228 (((P \u2227 P) \u2228 0) \u2228 1)\n1 \u2228 ((P \u2227 P) \u2228 1)\n1 \u2228 ((P \u2227 P) \u2228 (1 \u2228 0))\n1 \u2228 (P \u2228 (0 \u2228 1))\nChosen: 1 \u2228 ((P \u2227 P) \u2228 1)\n\nOptions:\n1\n((P \u2227 P) \u2228 1) \u2228 1\n(1 \u2228 (P \u2227 P)) \u2228 1\n1 \u2228 1\n1 \u2228 (1 \u2228 (P \u2227 P))\n1 \u2228 (P \u2228 1)\nChosen: ((P \u2227 P) \u2228 1) \u2228 1\n\nOptions:\n1\n(P \u2227 P) \u2228 (1 \u2228 1)\n1 \u2228 1\n(1 \u2228 (P \u2227 P)) \u2228 1\n(P \u2228 1) \u2228 1\nChosen: 1", "id": 1469}, {"char_len": 1764, "tokens": 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75078, 320, 83193, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1148, "data_type": "boolean", "txt": "Original: ((\u00acV) \u2227 (0 \u2227 1)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n\nOptions:\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\n(((\u00acV) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 L)) \u2227 (((\u00acV) \u2227 (0 \u2227 1)) \u2228 (\u00ac1))\n((\u00acV) \u2227 (0 \u2227 1)) \u2228 ((\u00ac1) \u2227 (0 \u2228 L))\n((\u00acV) \u2227 (0 \u2227 1)) \u2228 ((0 \u2228 L) \u2227 0)\n((\u00acV) \u2227 (0 \u2227 1)) \u2228 (L \u2227 (\u00ac1))\n((\u00acV) \u2227 (0 \u2227 1)) \u2228 ((L \u2228 0) \u2227 (\u00ac1))\n((0 \u2227 1) \u2227 (\u00acV)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n(((\u00acV) \u2227 0) \u2227 1) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n((\u00acV) \u2227 0) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n((\u00acV) \u2227 (1 \u2227 0)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\nChosen: ((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\n\nOptions:\n(((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (\u00acV)) \u2227 (((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (0 \u2227 1))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (((\u00acV) \u2227 0) \u2227 1)\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 0)\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 (1 \u2227 0))\n((\u00ac1) \u2227 (0 \u2228 L)) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\n((0 \u2228 L) \u2227 0) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\n(L \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\n((L \u2228 0) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 (0 \u2227 1))\nChosen: ((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\n\nOptions:\n((0 \u2227 1) \u2227 (\u00acV)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n(((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (0 \u2227 1)) \u2227 (((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (\u00acV))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (0 \u2227 (1 \u2227 (\u00acV)))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00acV))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((1 \u2227 0) \u2227 (\u00acV))\n((\u00ac1) \u2227 (0 \u2228 L)) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\n((0 \u2228 L) \u2227 0) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\n(L \u2227 (\u00ac1)) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\n((L \u2228 0) \u2227 (\u00ac1)) \u2228 ((0 \u2227 1) \u2227 (\u00acV))\nChosen: ((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00acV))\n\nOptions:\n(0 \u2227 (\u00acV)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n(((0 \u2228 L) \u2227 (\u00ac1)) \u2228 0) \u2227 (((0 \u2228 L) \u2227 (\u00ac1)) \u2228 (\u00acV))\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 0\n((0 \u2228 L) \u2227 (\u00ac1)) \u2228 ((\u00acV) \u2227 0)\n((\u00ac1) \u2227 (0 \u2228 L)) \u2228 (0 \u2227 (\u00acV))\n((0 \u2228 L) \u2227 0) \u2228 (0 \u2227 (\u00acV))\n(L \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00acV))\n((L \u2228 0) \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00acV))\nChosen: (0 \u2227 (\u00acV)) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n\nOptions:\n((0 \u2227 (\u00acV)) \u2228 (0 \u2228 L)) \u2227 ((0 \u2227 (\u00acV)) \u2228 (\u00ac1))\n(0 \u2227 (\u00acV)) \u2228 ((\u00ac1) \u2227 (0 \u2228 L))\n(0 \u2227 (\u00acV)) \u2228 ((0 \u2228 L) \u2227 0)\n(0 \u2227 (\u00acV)) \u2228 (L \u2227 (\u00ac1))\n(0 \u2227 (\u00acV)) \u2228 ((L \u2228 0) \u2227 (\u00ac1))\n0 \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\n((\u00acV) \u2227 0) \u2228 ((0 \u2228 L) \u2227 (\u00ac1))\nChosen: 0 \u2228 ((0 \u2228 L) \u2227 (\u00ac1))", "id": 1470}, {"char_len": 1754, "tokens": [18902, 25, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 5462, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 6054, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 6774, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 5462, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 6774, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 16, 340, 5462, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 6054, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 5462, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 33, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 11861, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 33, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 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, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1324, "data_type": "boolean", "txt": "Original: ((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2227 1))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1))\n(B \u2228 1) \u2228 ((0 \u2228 1) \u2228 (\u00ac(1 \u2227 1)))\n((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)\n((0 \u2228 1) \u2228 (B \u2228 1)) \u2228 (\u00ac(1 \u2227 1))\n(((B \u2228 1) \u2228 0) \u2228 1) \u2228 (\u00ac(1 \u2227 1))\n(B \u2228 (1 \u2228 (0 \u2228 1))) \u2228 (\u00ac(1 \u2227 1))\n((B \u2228 1) \u2228 1) \u2228 (\u00ac(1 \u2227 1))\n((B \u2228 1) \u2228 (1 \u2228 0)) \u2228 (\u00ac(1 \u2227 1))\n(1 \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2227 1))\n((1 \u2228 B) \u2228 (0 \u2228 1)) \u2228 (\u00ac(1 \u2227 1))\nChosen: ((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1))\n(((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)) \u2228 (\u00ac1)\n(B \u2228 1) \u2228 ((0 \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00ac1)))\n((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 0)\n((B \u2228 1) \u2228 (0 \u2228 1)) \u2228 (0 \u2228 (\u00ac1))\n((0 \u2228 1) \u2228 (B \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(((B \u2228 1) \u2228 0) \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(B \u2228 (1 \u2228 (0 \u2228 1))) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n((B \u2228 1) \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n((B \u2228 1) \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(1 \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n((1 \u2228 B) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\nChosen: ((\u00ac1) \u2228 (\u00ac1)) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1))\n\nOptions:\n(((\u00ac1) \u2228 (\u00ac1)) \u2228 (B \u2228 1)) \u2228 (0 \u2228 1)\n(\u00ac1) \u2228 ((\u00ac1) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1)))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((0 \u2228 1) \u2228 (B \u2228 1))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (((B \u2228 1) \u2228 0) \u2228 1)\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (B \u2228 (1 \u2228 (0 \u2228 1)))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((B \u2228 1) \u2228 1)\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((B \u2228 1) \u2228 (1 \u2228 0))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (1 \u2228 (0 \u2228 1))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((1 \u2228 B) \u2228 (0 \u2228 1))\n((\u00ac1) \u2228 0) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1))\n(0 \u2228 (\u00ac1)) \u2228 ((B \u2228 1) \u2228 (0 \u2228 1))\nChosen: ((\u00ac1) \u2228 (\u00ac1)) \u2228 (1 \u2228 (0 \u2228 1))\n\nOptions:\n(1 \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(((\u00ac1) \u2228 (\u00ac1)) \u2228 1) \u2228 (0 \u2228 1)\n(\u00ac1) \u2228 ((\u00ac1) \u2228 (1 \u2228 (0 \u2228 1)))\n((\u00ac1) \u2228 (\u00ac1)) \u2228 1\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((0 \u2228 1) \u2228 1)\n((\u00ac1) \u2228 (\u00ac1)) \u2228 ((1 \u2228 0) \u2228 1)\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (1 \u2228 1)\n((\u00ac1) \u2228 (\u00ac1)) \u2228 (1 \u2228 (1 \u2228 0))\n((\u00ac1) \u2228 0) \u2228 (1 \u2228 (0 \u2228 1))\n(0 \u2228 (\u00ac1)) \u2228 (1 \u2228 (0 \u2228 1))\nChosen: ((\u00ac1) \u2228 (\u00ac1)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((\u00ac1) \u2228 (\u00ac1))\n(\u00ac1) \u2228 ((\u00ac1) \u2228 1)\n((\u00ac1) \u2228 0) \u2228 1\n(0 \u2228 (\u00ac1)) \u2228 1\nChosen: 1 \u2228 ((\u00ac1) \u2228 (\u00ac1))", "id": 1471}, {"char_len": 42, "tokens": [18902, 25, 97265, 7, 83193, 7, 83193, 36, 4489, 3883, 512, 83193, 36, 198, 1163, 8477, 25, 97265, 36], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00acE))\n\nOptions:\n\u00acE\nChosen: \u00acE", "id": 1472}, {"char_len": 307, "tokens": [18902, 25, 320, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 83193, 39, 1192, 7, 83193, 7, 83193, 39, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 15, 340, 39, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 473, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 473, 198, 39, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 39, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 473, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 473, 198, 39, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 473, 271, 3883, 512, 16, 75078, 473, 198, 1163, 8477, 25, 220, 16, 75078, 473, 271, 3883, 512, 39, 198, 39, 75078, 220, 16, 198, 1163, 8477, 25, 473], "tokenizer": "cl100k_base", "tokens_len": 179, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acH)) \u2227 (\u00ac(0 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2227 (\u00ac(\u00acH))\n(\u00ac(\u00acH)) \u2227 ((\u00ac0) \u2227 (\u00ac0))\n(\u00ac(\u00acH)) \u2227 (\u00ac0)\nH \u2227 (\u00ac(0 \u2228 0))\nChosen: H \u2227 (\u00ac(0 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2227 H\nH \u2227 ((\u00ac0) \u2227 (\u00ac0))\nH \u2227 (\u00ac0)\nChosen: H \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 H\nH \u2227 1\nChosen: (\u00ac0) \u2227 H\n\nOptions:\n1 \u2227 H\nChosen: 1 \u2227 H\n\nOptions:\nH\nH \u2227 1\nChosen: H", "id": 1473}, {"char_len": 243, "tokens": [18902, 25, 320, 83193, 7, 57, 12264, 101, 1901, 595, 12264, 101, 320, 83193, 7, 83193, 49, 4489, 3883, 512, 7, 83193, 7, 83193, 49, 595, 12264, 101, 320, 83193, 7, 57, 12264, 101, 1901, 1192, 7, 83193, 7, 57, 12264, 101, 1901, 595, 12264, 101, 432, 198, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 12264, 101, 320, 83193, 7, 83193, 49, 1192, 7, 83193, 57, 8, 12264, 101, 320, 83193, 7, 83193, 49, 1192, 1163, 8477, 25, 320, 83193, 7, 57, 12264, 101, 1901, 595, 12264, 101, 432, 271, 3883, 512, 49, 12264, 101, 320, 83193, 7, 57, 12264, 101, 1901, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 12264, 101, 432, 198, 7, 83193, 57, 8, 12264, 101, 432, 198, 1163, 8477, 25, 320, 83193, 57, 8, 12264, 101, 432, 271, 3883, 512, 49, 12264, 101, 320, 83193, 57, 340, 1163, 8477, 25, 432, 12264, 101, 320, 83193, 57, 8], "tokenizer": "cl100k_base", "tokens_len": 156, "data_type": "boolean", "txt": "Original: (\u00ac(Z \u2228 Z)) \u2228 (\u00ac(\u00acR))\n\nOptions:\n(\u00ac(\u00acR)) \u2228 (\u00ac(Z \u2228 Z))\n(\u00ac(Z \u2228 Z)) \u2228 R\n((\u00acZ) \u2227 (\u00acZ)) \u2228 (\u00ac(\u00acR))\n(\u00acZ) \u2228 (\u00ac(\u00acR))\nChosen: (\u00ac(Z \u2228 Z)) \u2228 R\n\nOptions:\nR \u2228 (\u00ac(Z \u2228 Z))\n((\u00acZ) \u2227 (\u00acZ)) \u2228 R\n(\u00acZ) \u2228 R\nChosen: (\u00acZ) \u2228 R\n\nOptions:\nR \u2228 (\u00acZ)\nChosen: R \u2228 (\u00acZ)", "id": 1474}, {"char_len": 1134, "tokens": [18902, 25, 320, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 55, 75078, 1229, 1192, 1209, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 1630, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 1630, 1192, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 55, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 19789, 3883, 512, 7, 15, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 320, 83193, 7, 55, 75078, 1229, 1192, 1209, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 55, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1630, 1192, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 320, 55, 12264, 101, 220, 15, 1192, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 15, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 6054, 1163, 8477, 25, 320, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7799, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 55, 75078, 1229, 1192, 1209, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1630, 340, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 55, 12264, 101, 220, 15, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 320, 55, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1630, 696, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 7, 55, 75078, 1229, 1192, 1209, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1630, 198, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1630, 340, 7, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1630, 340, 1163, 8477, 25, 320, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 15, 12264, 101, 1630, 696, 3883, 512, 7, 15, 12264, 101, 1630, 8, 12264, 101, 320, 83193, 7, 55, 75078, 1229, 1192, 1209, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 220, 15, 8, 12264, 101, 1630, 198, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 1630, 198, 7, 83193, 7, 55, 75078, 1229, 595, 12264, 101, 320, 55, 12264, 101, 220, 15, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 7, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 340, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 1630, 595, 12264, 101, 320, 15, 12264, 101, 1630, 8], "tokenizer": "cl100k_base", "tokens_len": 769, "data_type": "boolean", "txt": "Original: (\u00ac(X \u2227 Q)) \u2228 ((0 \u2228 X) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2228 X) \u2228 (\u00ac1)) \u2228 (\u00ac(X \u2227 Q))\n((\u00ac(X \u2227 Q)) \u2228 (0 \u2228 X)) \u2228 (\u00ac1)\n(\u00ac(X \u2227 Q)) \u2228 ((\u00ac1) \u2228 (0 \u2228 X))\n(\u00ac(X \u2227 Q)) \u2228 (0 \u2228 (X \u2228 (\u00ac1)))\n(\u00ac(X \u2227 Q)) \u2228 ((0 \u2228 X) \u2228 0)\n(\u00ac(X \u2227 Q)) \u2228 (X \u2228 (\u00ac1))\n(\u00ac(X \u2227 Q)) \u2228 ((X \u2228 0) \u2228 (\u00ac1))\n((\u00acX) \u2228 (\u00acQ)) \u2228 ((0 \u2228 X) \u2228 (\u00ac1))\n(\u00ac(Q \u2227 X)) \u2228 ((0 \u2228 X) \u2228 (\u00ac1))\nChosen: (\u00ac(X \u2227 Q)) \u2228 (0 \u2228 (X \u2228 (\u00ac1)))\n\nOptions:\n(0 \u2228 (X \u2228 (\u00ac1))) \u2228 (\u00ac(X \u2227 Q))\n((\u00ac(X \u2227 Q)) \u2228 0) \u2228 (X \u2228 (\u00ac1))\n(\u00ac(X \u2227 Q)) \u2228 (X \u2228 (\u00ac1))\n(\u00ac(X \u2227 Q)) \u2228 ((X \u2228 (\u00ac1)) \u2228 0)\n(\u00ac(X \u2227 Q)) \u2228 (0 \u2228 ((\u00ac1) \u2228 X))\n(\u00ac(X \u2227 Q)) \u2228 (0 \u2228 (X \u2228 0))\n((\u00acX) \u2228 (\u00acQ)) \u2228 (0 \u2228 (X \u2228 (\u00ac1)))\n(\u00ac(Q \u2227 X)) \u2228 (0 \u2228 (X \u2228 (\u00ac1)))\nChosen: (\u00ac(X \u2227 Q)) \u2228 (X \u2228 (\u00ac1))\n\nOptions:\n(X \u2228 (\u00ac1)) \u2228 (\u00ac(X \u2227 Q))\n((\u00ac(X \u2227 Q)) \u2228 X) \u2228 (\u00ac1)\n(\u00ac(X \u2227 Q)) \u2228 ((\u00ac1) \u2228 X)\n(\u00ac(X \u2227 Q)) \u2228 (X \u2228 0)\n((\u00acX) \u2228 (\u00acQ)) \u2228 (X \u2228 (\u00ac1))\n(\u00ac(Q \u2227 X)) \u2228 (X \u2228 (\u00ac1))\nChosen: (\u00ac(X \u2227 Q)) \u2228 ((\u00ac1) \u2228 X)\n\nOptions:\n((\u00ac1) \u2228 X) \u2228 (\u00ac(X \u2227 Q))\n((\u00ac(X \u2227 Q)) \u2228 (\u00ac1)) \u2228 X\n(\u00ac(X \u2227 Q)) \u2228 (0 \u2228 X)\n((\u00acX) \u2228 (\u00acQ)) \u2228 ((\u00ac1) \u2228 X)\n(\u00ac(Q \u2227 X)) \u2228 ((\u00ac1) \u2228 X)\nChosen: (\u00ac(X \u2227 Q)) \u2228 (0 \u2228 X)\n\nOptions:\n(0 \u2228 X) \u2228 (\u00ac(X \u2227 Q))\n((\u00ac(X \u2227 Q)) \u2228 0) \u2228 X\n(\u00ac(X \u2227 Q)) \u2228 X\n(\u00ac(X \u2227 Q)) \u2228 (X \u2228 0)\n((\u00acX) \u2228 (\u00acQ)) \u2228 (0 \u2228 X)\n(\u00ac(Q \u2227 X)) \u2228 (0 \u2228 X)\nChosen: (\u00ac(Q \u2227 X)) \u2228 (0 \u2228 X)", "id": 1475}, {"char_len": 112, "tokens": [18902, 25, 97265, 7, 83193, 7, 50, 12264, 101, 220, 15, 4489, 3883, 512, 50, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 50, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 50, 340, 83193, 7, 83193, 7, 15, 12264, 101, 328, 1192, 1163, 8477, 25, 328, 12264, 101, 220, 15, 271, 3883, 512, 50, 198, 15, 12264, 101, 328, 198, 1163, 8477, 25, 328], "tokenizer": "cl100k_base", "tokens_len": 66, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(S \u2228 0))\n\nOptions:\nS \u2228 0\n\u00ac((\u00acS) \u2227 (\u00ac0))\n\u00ac(\u00acS)\n\u00ac(\u00ac(0 \u2228 S))\nChosen: S \u2228 0\n\nOptions:\nS\n0 \u2228 S\nChosen: S", "id": 1476}, {"char_len": 2382, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 622, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 6054, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 622, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 622, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 41, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 622, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 622, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 622, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 41, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 75078, 622, 340, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 622, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 41, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 622, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 622, 8, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 15, 12264, 101, 1819, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 1192, 1209, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 622, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 320, 41, 75078, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 320, 15, 75078, 622, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 622, 8, 12264, 101, 1819, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 1192, 6774, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 622, 340, 1209, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 41, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 622, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 16, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1209, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 340, 1163, 8477, 25, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 622, 8], "tokenizer": "cl100k_base", "tokens_len": 1730, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n\nOptions:\n((\u00ac1) \u2227 (1 \u2227 J)) \u2228 ((0 \u2228 1) \u2228 (0 \u2228 1))\n(0 \u2228 1) \u2228 ((0 \u2228 1) \u2228 ((\u00ac1) \u2227 (1 \u2227 J)))\n(((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (1 \u2227 J))\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((1 \u2227 J) \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (((\u00ac1) \u2227 1) \u2227 J)\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (J \u2227 1))\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (0 \u2227 (1 \u2227 J))\n(((0 \u2228 1) \u2228 0) \u2228 1) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n(0 \u2228 (1 \u2228 (0 \u2228 1))) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n((0 \u2228 1) \u2228 1) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n(1 \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (1 \u2227 J))\nChosen: ((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n\nOptions:\n((\u00ac1) \u2227 J) \u2228 ((0 \u2228 1) \u2228 (0 \u2228 1))\n(0 \u2228 1) \u2228 ((0 \u2228 1) \u2228 ((\u00ac1) \u2227 J))\n(((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 J)\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (J \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (0 \u2227 J)\n(((0 \u2228 1) \u2228 0) \u2228 1) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 (1 \u2228 (0 \u2228 1))) \u2228 ((\u00ac1) \u2227 J)\n((0 \u2228 1) \u2228 1) \u2228 ((\u00ac1) \u2227 J)\n((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n(1 \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\nChosen: ((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n\nOptions:\n((\u00ac1) \u2227 J) \u2228 ((0 \u2228 1) \u2228 (1 \u2228 0))\n(0 \u2228 1) \u2228 ((1 \u2228 0) \u2228 ((\u00ac1) \u2227 J))\n(((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 (\u00ac1)) \u2227 (((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 J)\n((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 (J \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 (0 \u2227 J)\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n(((0 \u2228 1) \u2228 1) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 ((\u00ac1) \u2227 J)\n((0 \u2228 1) \u2228 1) \u2228 ((\u00ac1) \u2227 J)\n(1 \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n((1 \u2228 0) \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\nChosen: (0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 ((\u00ac1) \u2227 J)\n\nOptions:\n((\u00ac1) \u2227 J) \u2228 (0 \u2228 (1 \u2228 (1 \u2228 0)))\n0 \u2228 ((1 \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J))\n((0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 (\u00ac1)) \u2227 ((0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 J)\n(0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 (J \u2227 (\u00ac1))\n(0 \u2228 (1 \u2228 (1 \u2228 0))) \u2228 (0 \u2227 J)\n(1 \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 1) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 ((1 \u2228 0) \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 ((1 \u2228 1) \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 (1 \u2228 1)) \u2228 ((\u00ac1) \u2227 J)\n(0 \u2228 (1 \u2228 (0 \u2228 1))) \u2228 ((\u00ac1) \u2227 J)\nChosen: ((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n\nOptions:\n((\u00ac1) \u2227 J) \u2228 ((1 \u2228 (1 \u2228 0)) \u2228 0)\n(1 \u2228 (1 \u2228 0)) \u2228 (0 \u2228 ((\u00ac1) \u2227 J))\n(((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 (\u00ac1)) \u2227 (((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 J)\n((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 (J \u2227 (\u00ac1))\n((1 \u2228 (1 \u2228 0)) \u2228 0) \u2228 (0 \u2227 J)\n(1 \u2228 (1 \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n(1 \u2228 ((1 \u2228 0) \u2228 0)) \u2228 ((\u00ac1) \u2227 J)\n(1 \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n(((1 \u2228 0) \u2228 1) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n(((1 \u2228 1) \u2228 0) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n((1 \u2228 1) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\n((1 \u2228 (0 \u2228 1)) \u2228 0) \u2228 ((\u00ac1) \u2227 J)\nChosen: (((1 \u2228 0) \u2228 1) \u2228 0) \u2228 ((\u00ac1) \u2227 J)", "id": 1477}, {"char_len": 675, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 220, 16, 198, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 16, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 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, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 220, 16, 198, 7, 83193, 15, 8, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 340, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 445, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 0)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (\u00ac(0 \u2227 0))\n(\u00ac(0 \u2227 0)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac0)\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac(1 \u2227 0))\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\n(\u00ac0) \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac(0 \u2227 0)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(0 \u2227 0))\n(\u00ac(0 \u2227 0)) \u2227 1\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac0)\n(\u00ac0) \u2227 (\u00ac0)\nChosen: (\u00ac0) \u2227 (\u00ac(0 \u2227 0))\n\nOptions:\n(\u00ac0) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n(\u00ac0) \u2227 (\u00ac0)\n1 \u2227 (\u00ac(0 \u2227 0))\nChosen: (\u00ac0) \u2227 ((\u00ac0) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((\u00ac0) \u2227 (\u00ac0))\n(\u00ac0) \u2227 ((\u00ac0) \u2228 1)\n(\u00ac0) \u2227 (1 \u2228 (\u00ac0))\n1 \u2227 ((\u00ac0) \u2228 (\u00ac0))\nChosen: (\u00ac0) \u2227 ((\u00ac0) \u2228 1)\n\nOptions:\n((\u00ac0) \u2228 1) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((\u00ac0) \u2227 1)\n(\u00ac0) \u2227 1\n(\u00ac0) \u2227 (1 \u2228 (\u00ac0))\n(\u00ac0) \u2227 (1 \u2228 1)\n1 \u2227 ((\u00ac0) \u2228 1)\nChosen: ((\u00ac0) \u2228 1) \u2227 (\u00ac0)", "id": 1478}, {"char_len": 292, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 15, 75078, 220, 15, 340, 15, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 15, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 15, 75078, 220, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 193, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 0)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(0 \u2227 0))\n(\u00ac(0 \u2227 0)) \u2228 0\n(\u00ac(0 \u2227 0)) \u2228 (\u00ac1)\n((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00ac(\u00ac0))\n(\u00ac0) \u2228 (\u00ac(\u00ac0))\nChosen: (\u00ac(0 \u2227 0)) \u2228 0\n\nOptions:\n\u00ac(0 \u2227 0)\n0 \u2228 (\u00ac(0 \u2227 0))\n((\u00ac0) \u2228 (\u00ac0)) \u2228 0\n(\u00ac0) \u2228 0\nChosen: \u00ac(0 \u2227 0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac0)\n\u00ac0\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1479}, {"char_len": 768, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 468, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 468, 1192, 7, 83193, 7, 16, 12264, 101, 468, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 468, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 16, 12264, 101, 468, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 54, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 54, 12264, 101, 220, 16, 1192, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 54, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 15, 340, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 15, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 198, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 15, 8, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 198, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 340, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 512, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 W)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (\u00ac(1 \u2228 W))\n(\u00ac(1 \u2228 W)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac(1 \u2228 W)) \u2227 (\u00ac0)\n(\u00ac(1 \u2228 W)) \u2227 (\u00ac(1 \u2227 0))\n((\u00ac1) \u2227 (\u00acW)) \u2227 (\u00ac(0 \u2227 1))\n(\u00ac1) \u2227 (\u00ac(0 \u2227 1))\n(\u00ac(W \u2228 1)) \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac(W \u2228 1)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (\u00ac(W \u2228 1))\n(\u00ac(W \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac(W \u2228 1)) \u2227 (\u00ac0)\n(\u00ac(W \u2228 1)) \u2227 (\u00ac(1 \u2227 0))\n((\u00acW) \u2227 (\u00ac1)) \u2227 (\u00ac(0 \u2227 1))\n(\u00ac1) \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac1) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac1) \u2227 (\u00ac0)\n(\u00ac1) \u2227 (\u00ac(1 \u2227 0))\n0 \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac(0 \u2227 1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 0\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (\u00ac1)\n(\u00ac0) \u2227 (\u00ac1)\n(\u00ac(1 \u2227 0)) \u2227 (\u00ac1)\nChosen: ((\u00ac0) \u2228 (\u00ac1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((\u00ac0) \u2228 (\u00ac1)) \u2227 0\n((\u00ac1) \u2228 (\u00ac0)) \u2227 (\u00ac1)\n((\u00ac0) \u2228 0) \u2227 (\u00ac1)\n(1 \u2228 (\u00ac1)) \u2227 (\u00ac1)\nChosen: ((\u00ac0) \u2228 (\u00ac1)) \u2227 0", "id": 1480}, {"char_len": 921, "tokens": [18902, 25, 1819, 83193, 55, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 6054, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 19789, 3883, 512, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 55, 340, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 6054, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 19789, 3883, 512, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 7861, 12264, 101, 320, 83193, 55, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 6054, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 1819, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 36, 4489, 3883, 512, 1209, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 7861, 12264, 101, 320, 83193, 36, 340, 7, 83193, 55, 8, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 36, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 36, 4489, 3883, 512, 1209, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 36, 340, 7, 83193, 55, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 55, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 36, 1192, 1163, 8477, 25, 1819, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 8], "tokenizer": "cl100k_base", "tokens_len": 637, "data_type": "boolean", "txt": "Original: ((\u00acX) \u2228 (\u00acE)) \u2228 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2228 ((\u00acX) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac(0 \u2227 1)))\n((\u00acX) \u2228 (\u00acE)) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n((\u00acX) \u2228 (\u00acE)) \u2228 (\u00ac0)\n((\u00acX) \u2228 (\u00acE)) \u2228 (\u00ac(1 \u2227 0))\n((\u00acE) \u2228 (\u00acX)) \u2228 (\u00ac(0 \u2227 1))\nChosen: (\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac(0 \u2227 1)))\n\nOptions:\n((\u00acE) \u2228 (\u00ac(0 \u2227 1))) \u2228 (\u00acX)\n(\u00acX) \u2228 ((\u00ac(0 \u2227 1)) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00acE) \u2228 ((\u00ac0) \u2228 (\u00ac1)))\n(\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac0))\n(\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac(1 \u2227 0)))\nChosen: (\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac(1 \u2227 0)))\n\nOptions:\n((\u00acE) \u2228 (\u00ac(1 \u2227 0))) \u2228 (\u00acX)\n((\u00acX) \u2228 (\u00acE)) \u2228 (\u00ac(1 \u2227 0))\n(\u00acX) \u2228 ((\u00ac(1 \u2227 0)) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00acE) \u2228 ((\u00ac1) \u2228 (\u00ac0)))\n(\u00acX) \u2228 ((\u00acE) \u2228 (\u00ac0))\nChosen: (\u00acX) \u2228 ((\u00ac(1 \u2227 0)) \u2228 (\u00acE))\n\nOptions:\n((\u00ac(1 \u2227 0)) \u2228 (\u00acE)) \u2228 (\u00acX)\n((\u00acX) \u2228 (\u00ac(1 \u2227 0))) \u2228 (\u00acE)\n(\u00acX) \u2228 (((\u00ac1) \u2228 (\u00ac0)) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00ac0) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00ac(0 \u2227 1)) \u2228 (\u00acE))\nChosen: (\u00acX) \u2228 ((\u00ac(0 \u2227 1)) \u2228 (\u00acE))\n\nOptions:\n((\u00ac(0 \u2227 1)) \u2228 (\u00acE)) \u2228 (\u00acX)\n((\u00acX) \u2228 (\u00ac(0 \u2227 1))) \u2228 (\u00acE)\n(\u00acX) \u2228 (((\u00ac0) \u2228 (\u00ac1)) \u2228 (\u00acE))\n(\u00acX) \u2228 ((\u00ac0) \u2228 (\u00acE))\nChosen: ((\u00ac(0 \u2227 1)) \u2228 (\u00acE)) \u2228 (\u00acX)", "id": 1481}, {"char_len": 1326, "tokens": [18902, 25, 320, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 48, 75078, 1229, 1192, 1209, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 12264, 101, 320, 48, 75078, 220, 16, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 11861, 48, 75078, 220, 16, 8, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 48, 75078, 1229, 1192, 1209, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 16, 75078, 1229, 595, 12264, 101, 1819, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 1229, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 11861, 16, 75078, 1229, 8, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 16, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 6386, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 48, 75078, 1229, 1192, 1209, 83193, 7, 48, 75078, 1229, 595, 75078, 1229, 8, 12264, 101, 1819, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 12264, 101, 1229, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 320, 16, 12264, 101, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 1229, 595, 75078, 1819, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 48, 75078, 1229, 1192, 1209, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 1229, 595, 12264, 101, 1819, 83193, 7, 48, 75078, 1229, 595, 75078, 220, 16, 340, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 220, 16, 198, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 16, 12264, 101, 320, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 75078, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 7, 83193, 48, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 48, 75078, 1229, 595, 75078, 220, 16, 271, 3883, 512, 83193, 7, 48, 75078, 1229, 340, 16, 75078, 320, 83193, 7, 48, 75078, 1229, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 198, 7, 83193, 48, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 48, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 873, "data_type": "boolean", "txt": "Original: (\u00ac(Q \u2227 Q)) \u2227 ((Q \u2227 1) \u2228 (Q \u2228 1))\n\nOptions:\n((Q \u2227 1) \u2228 (Q \u2228 1)) \u2227 (\u00ac(Q \u2227 Q))\n((\u00ac(Q \u2227 Q)) \u2227 (Q \u2227 1)) \u2228 ((\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 1))\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2228 1) \u2228 (Q \u2227 1))\n(\u00ac(Q \u2227 Q)) \u2227 (((Q \u2227 1) \u2228 Q) \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2227 1) \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2227 1) \u2228 (1 \u2228 Q))\n(\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 (Q \u2228 1))\n(\u00ac(Q \u2227 Q)) \u2227 ((1 \u2227 Q) \u2228 (Q \u2228 1))\n((\u00acQ) \u2228 (\u00acQ)) \u2227 ((Q \u2227 1) \u2228 (Q \u2228 1))\n(\u00acQ) \u2227 ((Q \u2227 1) \u2228 (Q \u2228 1))\nChosen: (\u00ac(Q \u2227 Q)) \u2227 ((1 \u2227 Q) \u2228 (Q \u2228 1))\n\nOptions:\n((1 \u2227 Q) \u2228 (Q \u2228 1)) \u2227 (\u00ac(Q \u2227 Q))\n((\u00ac(Q \u2227 Q)) \u2227 (1 \u2227 Q)) \u2228 ((\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 1))\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2228 1) \u2228 (1 \u2227 Q))\n(\u00ac(Q \u2227 Q)) \u2227 (((1 \u2227 Q) \u2228 Q) \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 ((1 \u2227 Q) \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 ((1 \u2227 Q) \u2228 (1 \u2228 Q))\n(\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 (Q \u2228 1))\n((\u00acQ) \u2228 (\u00acQ)) \u2227 ((1 \u2227 Q) \u2228 (Q \u2228 1))\n(\u00acQ) \u2227 ((1 \u2227 Q) \u2228 (Q \u2228 1))\nChosen: (\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 (Q \u2228 1))\n\nOptions:\n(Q \u2228 (Q \u2228 1)) \u2227 (\u00ac(Q \u2227 Q))\n((\u00ac(Q \u2227 Q)) \u2227 Q) \u2228 ((\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 1))\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2228 1) \u2228 Q)\n(\u00ac(Q \u2227 Q)) \u2227 ((Q \u2228 Q) \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 1)\n(\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 (1 \u2228 Q))\n((\u00acQ) \u2228 (\u00acQ)) \u2227 (Q \u2228 (Q \u2228 1))\n(\u00acQ) \u2227 (Q \u2228 (Q \u2228 1))\nChosen: (\u00ac(Q \u2227 Q)) \u2227 ((Q \u2228 Q) \u2228 1)\n\nOptions:\n((Q \u2228 Q) \u2228 1) \u2227 (\u00ac(Q \u2227 Q))\n((\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 Q)) \u2228 ((\u00ac(Q \u2227 Q)) \u2227 1)\n(\u00ac(Q \u2227 Q)) \u2227 1\n(\u00ac(Q \u2227 Q)) \u2227 (1 \u2228 (Q \u2228 Q))\n(\u00ac(Q \u2227 Q)) \u2227 (Q \u2228 1)\n((\u00acQ) \u2228 (\u00acQ)) \u2227 ((Q \u2228 Q) \u2228 1)\n(\u00acQ) \u2227 ((Q \u2228 Q) \u2228 1)\nChosen: (\u00ac(Q \u2227 Q)) \u2227 1\n\nOptions:\n\u00ac(Q \u2227 Q)\n1 \u2227 (\u00ac(Q \u2227 Q))\n((\u00acQ) \u2228 (\u00acQ)) \u2227 1\n(\u00acQ) \u2227 1\nChosen: (\u00acQ) \u2227 1", "id": 1482}, {"char_len": 471, "tokens": [18902, 25, 97265, 1209, 40, 75078, 650, 8, 75078, 320, 83193, 40, 4489, 3883, 512, 7, 83193, 7, 40, 75078, 650, 595, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 83193, 1209, 83193, 40, 8, 75078, 320, 40, 75078, 650, 1192, 83193, 7, 40, 75078, 320, 53, 75078, 320, 83193, 40, 6054, 83193, 1209, 53, 75078, 358, 8, 75078, 320, 83193, 40, 1192, 1163, 8477, 25, 97265, 1209, 83193, 40, 8, 75078, 320, 40, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 83193, 7, 40, 75078, 650, 1192, 83193, 6774, 83193, 40, 8, 75078, 358, 8, 75078, 650, 340, 83193, 1209, 83193, 40, 8, 75078, 320, 53, 75078, 358, 1192, 1163, 8477, 25, 97265, 6774, 83193, 40, 8, 75078, 358, 8, 75078, 650, 696, 3883, 512, 7, 83193, 1209, 83193, 40, 8, 75078, 358, 595, 12264, 101, 320, 83193, 53, 340, 83193, 7, 53, 75078, 1819, 83193, 40, 8, 75078, 358, 1192, 83193, 7, 15, 75078, 650, 340, 83193, 1209, 40, 75078, 320, 83193, 40, 595, 75078, 650, 340, 1163, 8477, 25, 97265, 1209, 40, 75078, 320, 83193, 40, 595, 75078, 650, 696, 3883, 512, 7, 83193, 7, 40, 75078, 320, 83193, 40, 7861, 12264, 101, 320, 83193, 53, 340, 83193, 7, 53, 75078, 320, 40, 75078, 320, 83193, 40, 6054, 83193, 7, 40, 75078, 1819, 83193, 40, 8, 75078, 650, 1192, 83193, 7, 15, 75078, 650, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 650, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 53, 340, 83193, 15, 198, 83193, 7, 53, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 15], "tokenizer": "cl100k_base", "tokens_len": 270, "data_type": "boolean", "txt": "Original: \u00ac((I \u2227 V) \u2227 (\u00acI))\n\nOptions:\n(\u00ac(I \u2227 V)) \u2228 (\u00ac(\u00acI))\n\u00ac((\u00acI) \u2227 (I \u2227 V))\n\u00ac(I \u2227 (V \u2227 (\u00acI)))\n\u00ac((V \u2227 I) \u2227 (\u00acI))\nChosen: \u00ac((\u00acI) \u2227 (I \u2227 V))\n\nOptions:\n(\u00ac(\u00acI)) \u2228 (\u00ac(I \u2227 V))\n\u00ac(((\u00acI) \u2227 I) \u2227 V)\n\u00ac((\u00acI) \u2227 (V \u2227 I))\nChosen: \u00ac(((\u00acI) \u2227 I) \u2227 V)\n\nOptions:\n(\u00ac((\u00acI) \u2227 I)) \u2228 (\u00acV)\n\u00ac(V \u2227 ((\u00acI) \u2227 I))\n\u00ac(0 \u2227 V)\n\u00ac((I \u2227 (\u00acI)) \u2227 V)\nChosen: \u00ac((I \u2227 (\u00acI)) \u2227 V)\n\nOptions:\n(\u00ac(I \u2227 (\u00acI))) \u2228 (\u00acV)\n\u00ac(V \u2227 (I \u2227 (\u00acI)))\n\u00ac(I \u2227 ((\u00acI) \u2227 V))\n\u00ac(0 \u2227 V)\nChosen: \u00ac(0 \u2227 V)\n\nOptions:\n(\u00ac0) \u2228 (\u00acV)\n\u00ac0\n\u00ac(V \u2227 0)\nChosen: \u00ac0", "id": 1483}, {"char_len": 1439, "tokens": [18902, 25, 1819, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 1192, 7988, 12264, 101, 435, 8, 75078, 1819, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 11861, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 83193, 15, 1192, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 37, 8, 75078, 320, 37, 12264, 101, 435, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7988, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 1192, 7988, 12264, 101, 435, 8, 75078, 1819, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 1192, 6774, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 11861, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 220, 16, 340, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 220, 16, 198, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 37, 12264, 101, 435, 8, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 16, 340, 1209, 83193, 37, 8, 75078, 320, 37, 12264, 101, 435, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 7988, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 37, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 37, 75078, 320, 83193, 37, 1192, 37, 75078, 1819, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 1192, 1209, 37, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 37, 75078, 320, 83193, 37, 595, 75078, 220, 16, 340, 7988, 75078, 320, 83193, 37, 595, 75078, 220, 16, 198, 7988, 75078, 320, 83193, 37, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7988, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7988, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 16, 340, 15, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 83193, 37, 8, 75078, 435, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 37, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 37, 75078, 320, 83193, 37, 1192, 37, 75078, 1819, 83193, 37, 8, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 37, 75078, 320, 83193, 37, 595, 75078, 220, 15, 8, 12264, 101, 1819, 37, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7988, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 220, 16, 340, 7988, 75078, 320, 83193, 37, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 7988, 75078, 320, 83193, 37, 595, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 15, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 37, 8, 75078, 435, 8, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 15, 198, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 7, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 1192, 15, 75078, 320, 15, 12264, 101, 220, 16, 340, 15, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 15, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 15, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 967, "data_type": "boolean", "txt": "Original: ((F \u2228 F) \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 (\u00ac0))\n\nOptions:\n((0 \u2228 0) \u2228 (\u00ac0)) \u2227 ((F \u2228 F) \u2227 (\u00acF))\n(F \u2228 F) \u2227 ((\u00acF) \u2227 ((0 \u2228 0) \u2228 (\u00ac0)))\n(((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 0)) \u2228 (((F \u2228 F) \u2227 (\u00acF)) \u2227 (\u00ac0))\n((F \u2228 F) \u2227 (\u00acF)) \u2227 ((\u00ac0) \u2228 (0 \u2228 0))\n((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 (0 \u2228 (\u00ac0)))\n((F \u2228 F) \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 1)\n((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 (\u00ac0))\n((\u00acF) \u2227 (F \u2228 F)) \u2227 ((0 \u2228 0) \u2228 (\u00ac0))\n(F \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 (\u00ac0))\nChosen: ((F \u2228 F) \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 1)\n\nOptions:\n((0 \u2228 0) \u2228 1) \u2227 ((F \u2228 F) \u2227 (\u00acF))\n(F \u2228 F) \u2227 ((\u00acF) \u2227 ((0 \u2228 0) \u2228 1))\n(((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 0)) \u2228 (((F \u2228 F) \u2227 (\u00acF)) \u2227 1)\n((F \u2228 F) \u2227 (\u00acF)) \u2227 1\n((F \u2228 F) \u2227 (\u00acF)) \u2227 (1 \u2228 (0 \u2228 0))\n((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 (0 \u2228 1))\n((F \u2228 F) \u2227 (\u00acF)) \u2227 (0 \u2228 1)\n((\u00acF) \u2227 (F \u2228 F)) \u2227 ((0 \u2228 0) \u2228 1)\n(F \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 1)\nChosen: (F \u2227 (\u00acF)) \u2227 ((0 \u2228 0) \u2228 1)\n\nOptions:\n((0 \u2228 0) \u2228 1) \u2227 (F \u2227 (\u00acF))\nF \u2227 ((\u00acF) \u2227 ((0 \u2228 0) \u2228 1))\n((F \u2227 (\u00acF)) \u2227 (0 \u2228 0)) \u2228 ((F \u2227 (\u00acF)) \u2227 1)\n(F \u2227 (\u00acF)) \u2227 1\n(F \u2227 (\u00acF)) \u2227 (1 \u2228 (0 \u2228 0))\n(F \u2227 (\u00acF)) \u2227 (0 \u2228 (0 \u2228 1))\n(F \u2227 (\u00acF)) \u2227 (0 \u2228 1)\n0 \u2227 ((0 \u2228 0) \u2228 1)\n((\u00acF) \u2227 F) \u2227 ((0 \u2228 0) \u2228 1)\nChosen: (F \u2227 (\u00acF)) \u2227 (0 \u2228 (0 \u2228 1))\n\nOptions:\n(0 \u2228 (0 \u2228 1)) \u2227 (F \u2227 (\u00acF))\nF \u2227 ((\u00acF) \u2227 (0 \u2228 (0 \u2228 1)))\n((F \u2227 (\u00acF)) \u2227 0) \u2228 ((F \u2227 (\u00acF)) \u2227 (0 \u2228 1))\n(F \u2227 (\u00acF)) \u2227 (0 \u2228 1)\n(F \u2227 (\u00acF)) \u2227 ((0 \u2228 1) \u2228 0)\n(F \u2227 (\u00acF)) \u2227 (0 \u2228 (1 \u2228 0))\n0 \u2227 (0 \u2228 (0 \u2228 1))\n((\u00acF) \u2227 F) \u2227 (0 \u2228 (0 \u2228 1))\nChosen: 0 \u2227 (0 \u2228 (0 \u2228 1))\n\nOptions:\n0\n(0 \u2228 (0 \u2228 1)) \u2227 0\n(0 \u2227 0) \u2228 (0 \u2227 (0 \u2228 1))\n0 \u2227 (0 \u2228 1)\n0 \u2227 ((0 \u2228 1) \u2228 0)\n0 \u2227 ((0 \u2228 0) \u2228 1)\n0 \u2227 (0 \u2228 (1 \u2228 0))\nChosen: (0 \u2228 (0 \u2228 1)) \u2227 0", "id": 1484}, {"char_len": 166, "tokens": [18902, 25, 97265, 7, 83193, 7, 54, 75078, 220, 15, 4489, 3883, 512, 54, 75078, 220, 15, 198, 83193, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 15, 75078, 468, 1192, 1163, 8477, 25, 97265, 7, 83193, 7, 15, 75078, 468, 4489, 3883, 512, 15, 75078, 468, 198, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 95, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(W \u2227 0))\n\nOptions:\nW \u2227 0\n\u00ac((\u00acW) \u2228 (\u00ac0))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(0 \u2227 W))\nChosen: \u00ac(\u00ac(0 \u2227 W))\n\nOptions:\n0 \u2227 W\n\u00ac((\u00ac0) \u2228 (\u00acW))\n\u00ac(\u00ac0)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1485}, {"char_len": 253, "tokens": [18902, 25, 320, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 75078, 220, 16, 198, 7, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 15, 340, 44, 75078, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 75078, 220, 16, 198, 44, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 220, 16, 271, 3883, 512, 83193, 7, 83193, 44, 340, 16, 75078, 320, 83193, 7, 83193, 44, 1192, 44, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 7, 83193, 44, 696, 3883, 512, 44, 198, 1163, 8477, 25, 386], "tokenizer": "cl100k_base", "tokens_len": 151, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acM)) \u2227 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2227 1\n(\u00ac(\u00acM)) \u2227 (\u00ac0)\nM \u2227 (\u00ac(\u00ac1))\nChosen: (\u00ac(\u00acM)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2227 1\nM \u2227 (\u00ac0)\nChosen: (\u00ac(\u00acM)) \u2227 1\n\nOptions:\n\u00ac(\u00acM)\n1 \u2227 (\u00ac(\u00acM))\nM \u2227 1\nChosen: \u00ac(\u00acM)\n\nOptions:\nM\nChosen: M", "id": 1486}, {"char_len": 2016, "tokens": [18902, 25, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 1192, 6774, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 220, 16, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 320, 48, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 55, 75078, 220, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 48, 12264, 101, 1229, 8, 75078, 1630, 8, 75078, 220, 16, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 1630, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 16, 75078, 1630, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 48, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 48, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 6386, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 220, 16, 1192, 6386, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 6386, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 320, 48, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 320, 55, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 55, 75078, 220, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 75078, 1630, 8, 75078, 220, 16, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 1630, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 320, 16, 75078, 1630, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 4489, 3883, 512, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 6054, 6774, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1229, 8, 75078, 11861, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 55, 75078, 220, 16, 1192, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 55, 75078, 220, 16, 8, 75078, 1229, 340, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 48, 75078, 1630, 8, 75078, 220, 16, 340, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 1630, 340, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 48, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 1192, 6386, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 16, 75078, 1229, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 4489, 3883, 512, 6386, 75078, 320, 16, 75078, 1630, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 6054, 6774, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1229, 8, 75078, 11861, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 1630, 1192, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 1229, 340, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 1630, 340, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 1630, 340, 1209, 83193, 16, 8, 12264, 101, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 1192, 1209, 48, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 1192, 6386, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 1192, 1209, 16, 75078, 1229, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 1192, 1163, 8477, 25, 320, 48, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 19789, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 7861, 12264, 101, 320, 48, 75078, 220, 16, 340, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 48, 75078, 320, 16, 75078, 1630, 595, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 1630, 6054, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 1229, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 1630, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 1630, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 55, 75078, 220, 16, 6054, 6386, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 6054, 48, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 6054, 7, 16, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 6054, 1163, 8477, 25, 1229, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 48, 75078, 320, 16, 75078, 1630, 7861], "tokenizer": "cl100k_base", "tokens_len": 1319, "data_type": "boolean", "txt": "Original: ((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 ((Q \u2228 Q) \u2227 (X \u2227 1))\n(((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 (Q \u2227 1)) \u2228 (\u00ac1)\n((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 ((\u00ac1) \u2228 (Q \u2227 1))\n((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 ((Q \u2227 1) \u2228 0)\n((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 (Q \u2228 (\u00ac1))\n((Q \u2228 Q) \u2227 (X \u2227 1)) \u2228 ((1 \u2227 Q) \u2228 (\u00ac1))\n((X \u2227 1) \u2227 (Q \u2228 Q)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n(((Q \u2228 Q) \u2227 X) \u2227 1) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n((Q \u2228 Q) \u2227 X) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n((Q \u2228 Q) \u2227 (1 \u2227 X)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n(Q \u2227 (X \u2227 1)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\nChosen: (Q \u2227 (X \u2227 1)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 (X \u2227 1))\n((Q \u2227 (X \u2227 1)) \u2228 (Q \u2227 1)) \u2228 (\u00ac1)\n(Q \u2227 (X \u2227 1)) \u2228 ((\u00ac1) \u2228 (Q \u2227 1))\n(Q \u2227 (X \u2227 1)) \u2228 ((Q \u2227 1) \u2228 0)\n(Q \u2227 (X \u2227 1)) \u2228 (Q \u2228 (\u00ac1))\n(Q \u2227 (X \u2227 1)) \u2228 ((1 \u2227 Q) \u2228 (\u00ac1))\n((X \u2227 1) \u2227 Q) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n((Q \u2227 X) \u2227 1) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n(Q \u2227 X) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n(Q \u2227 (1 \u2227 X)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\nChosen: ((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 (X \u2227 1))\n\nOptions:\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 (Q \u2227 (X \u2227 1)))\n(((Q \u2227 1) \u2228 (\u00ac1)) \u2228 Q) \u2227 (((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (X \u2227 1))\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 ((X \u2227 1) \u2227 Q)\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 ((Q \u2227 X) \u2227 1)\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 X)\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 (1 \u2227 X))\n((\u00ac1) \u2228 (Q \u2227 1)) \u2228 (Q \u2227 (X \u2227 1))\n((Q \u2227 1) \u2228 0) \u2228 (Q \u2227 (X \u2227 1))\n(Q \u2228 (\u00ac1)) \u2228 (Q \u2227 (X \u2227 1))\n((1 \u2227 Q) \u2228 (\u00ac1)) \u2228 (Q \u2227 (X \u2227 1))\nChosen: ((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 (1 \u2227 X))\n\nOptions:\n(Q \u2227 (1 \u2227 X)) \u2228 ((Q \u2227 1) \u2228 (\u00ac1))\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X)))\n(((Q \u2227 1) \u2228 (\u00ac1)) \u2228 Q) \u2227 (((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (1 \u2227 X))\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 ((1 \u2227 X) \u2227 Q)\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 ((Q \u2227 1) \u2227 X)\n((Q \u2227 1) \u2228 (\u00ac1)) \u2228 (Q \u2227 X)\n((\u00ac1) \u2228 (Q \u2227 1)) \u2228 (Q \u2227 (1 \u2227 X))\n((Q \u2227 1) \u2228 0) \u2228 (Q \u2227 (1 \u2227 X))\n(Q \u2228 (\u00ac1)) \u2228 (Q \u2227 (1 \u2227 X))\n((1 \u2227 Q) \u2228 (\u00ac1)) \u2228 (Q \u2227 (1 \u2227 X))\nChosen: (Q \u2227 1) \u2228 ((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X)))\n\nOptions:\n((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X))) \u2228 (Q \u2227 1)\n(Q \u2227 1) \u2228 ((Q \u2227 (1 \u2227 X)) \u2228 (\u00ac1))\n(Q \u2227 1) \u2228 (((\u00ac1) \u2228 Q) \u2227 ((\u00ac1) \u2228 (1 \u2227 X)))\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 ((1 \u2227 X) \u2227 Q))\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 ((Q \u2227 1) \u2227 X))\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 (Q \u2227 X))\n(Q \u2227 1) \u2228 ((\u00ac1) \u2228 (Q \u2227 (X \u2227 1)))\n(Q \u2227 1) \u2228 (0 \u2228 (Q \u2227 (1 \u2227 X)))\nQ \u2228 ((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X)))\n(1 \u2227 Q) \u2228 ((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X)))\nChosen: Q \u2228 ((\u00ac1) \u2228 (Q \u2227 (1 \u2227 X)))", "id": 1487}, {"char_len": 5751, "tokens": [18902, 25, 1819, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 33, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 33, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 1192, 7, 16, 75078, 393, 8, 75078, 1819, 33, 12264, 101, 393, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 33, 75078, 220, 16, 6054, 6774, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 320, 33, 75078, 220, 16, 1192, 1209, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 1819, 33, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 426, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 426, 340, 1209, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 426, 1192, 1209, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 320, 15, 12264, 101, 320, 33, 75078, 220, 16, 1192, 1209, 33, 12264, 101, 393, 8, 75078, 320, 16, 75078, 393, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 33, 75078, 220, 16, 1192, 7, 16, 75078, 320, 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47, 75078, 320, 33, 12264, 101, 393, 595, 75078, 426, 340, 1163, 8477, 25, 11861, 16, 75078, 393, 8, 75078, 320, 33, 12264, 101, 393, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 33, 12264, 101, 393, 8, 75078, 393, 8, 75078, 426, 8], "tokenizer": "cl100k_base", "tokens_len": 3452, "data_type": "boolean", "txt": "Original: ((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n\nOptions:\n((\u00ac1) \u2228 (B \u2227 1)) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P))\n(1 \u2227 P) \u2227 ((B \u2228 P) \u2227 ((\u00ac1) \u2228 (B \u2227 1)))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 ((B \u2227 1) \u2228 (\u00ac1))\n((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (((\u00ac1) \u2228 B) \u2227 ((\u00ac1) \u2228 1))\n((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 ((\u00ac1) \u2228 B)\n((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 ((\u00ac1) \u2228 (1 \u2227 B))\n((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (0 \u2228 (B \u2227 1))\n((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n(1 \u2227 (P \u2227 (B \u2228 P))) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n(((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n(P \u2227 (B \u2228 P)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\n((P \u2227 1) \u2227 (B \u2228 P)) \u2227 ((\u00ac1) \u2228 (B \u2227 1))\nChosen: (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n\nOptions:\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1))\n((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 P) \u2227 (B \u2228 P))) \u2227 ((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((B \u2227 1) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P)))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 B) \u2227 1)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 P) \u2227 ((B \u2228 P) \u2227 (B \u2227 1)))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (1 \u2227 B))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((P \u2227 1) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((\u00ac1) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P))) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((1 \u2227 P) \u2227 ((B \u2228 P) \u2227 (\u00ac1))) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 0) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n((P \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((P \u2227 1) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\nChosen: (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n\nOptions:\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1))\n((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (1 \u2227 (P \u2227 (B \u2228 P)))) \u2227 ((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((B \u2227 1) \u2227 (1 \u2227 (P \u2227 (B \u2228 P))))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B) \u2227 1)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (1 \u2227 ((P \u2227 (B \u2228 P)) \u2227 (B \u2227 1)))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (1 \u2227 B))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((P \u2227 (B \u2228 P)) \u2227 1) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 ((B \u2228 P) \u2227 P)) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 ((P \u2227 B) \u2228 (P \u2227 P))) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (P \u2228 B))) \u2227 (B \u2227 1))\n((\u00ac1) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P))) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n((1 \u2227 P) \u2227 ((B \u2228 P) \u2227 (\u00ac1))) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 0) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n(((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n((((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n(((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n((P \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\n(((P \u2227 1) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (B \u2227 1))\nChosen: (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n\nOptions:\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1))\n((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (1 \u2227 (P \u2227 (B \u2228 P)))) \u2227 ((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (B \u2227 (1 \u2227 (P \u2227 (B \u2228 P))))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (1 \u2227 ((P \u2227 (B \u2228 P)) \u2227 B))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((P \u2227 (B \u2228 P)) \u2227 1) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 ((B \u2228 P) \u2227 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 ((P \u2227 B) \u2228 (P \u2227 P))) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (P \u2228 B))) \u2227 B)\n((\u00ac1) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P))) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n((1 \u2227 P) \u2227 ((B \u2228 P) \u2227 (\u00ac1))) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 0) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n(((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n((((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n(((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n((P \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\n(((P \u2227 1) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 B)\nChosen: (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n\nOptions:\n((P \u2227 (B \u2228 P)) \u2227 B) \u2228 (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1))\n((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (P \u2227 (B \u2228 P))) \u2227 ((((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (B \u2227 (P \u2227 (B \u2228 P)))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (P \u2227 ((B \u2228 P) \u2227 B))\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((B \u2228 P) \u2227 P) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((P \u2227 B) \u2228 (P \u2227 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (P \u2228 B)) \u2227 B)\n((\u00ac1) \u2227 ((1 \u2227 P) \u2227 (B \u2228 P))) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n((1 \u2227 P) \u2227 ((B \u2228 P) \u2227 (\u00ac1))) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 0) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n(((B \u2228 P) \u2227 (1 \u2227 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n((1 \u2227 (P \u2227 (B \u2228 P))) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n((((1 \u2227 P) \u2227 B) \u2228 ((1 \u2227 P) \u2227 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n(((1 \u2227 P) \u2227 (P \u2228 B)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n((P \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\n(((P \u2227 1) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 ((P \u2227 (B \u2228 P)) \u2227 B)\nChosen: (((1 \u2227 P) \u2227 (B \u2228 P)) \u2227 (\u00ac1)) \u2228 (((B \u2228 P) \u2227 P) \u2227 B)", "id": 1488}, {"char_len": 447, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 480, 8, 12264, 101, 320, 38, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 480, 595, 75078, 320, 83193, 7, 38, 12264, 101, 220, 15, 1192, 83193, 1209, 38, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 480, 1192, 83193, 6774, 15, 12264, 101, 480, 8, 12264, 101, 480, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 38, 12264, 101, 320, 38, 12264, 101, 220, 15, 6054, 83193, 1209, 15, 12264, 101, 480, 8, 12264, 101, 480, 340, 83193, 1209, 15, 12264, 101, 480, 8, 12264, 101, 320, 15, 12264, 101, 480, 1192, 83193, 7, 38, 12264, 101, 320, 38, 12264, 101, 220, 15, 1192, 83193, 1209, 38, 12264, 101, 220, 15, 8, 12264, 101, 320, 38, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 480, 8, 12264, 101, 480, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 480, 595, 75078, 320, 83193, 38, 340, 83193, 7, 38, 12264, 101, 320, 15, 12264, 101, 480, 1192, 83193, 7, 15, 12264, 101, 320, 38, 12264, 101, 480, 1192, 83193, 7, 38, 12264, 101, 480, 340, 83193, 1209, 38, 12264, 101, 220, 15, 8, 12264, 101, 480, 340, 1163, 8477, 25, 97265, 1209, 38, 12264, 101, 220, 15, 8, 12264, 101, 480, 696, 3883, 512, 7, 83193, 7, 38, 12264, 101, 220, 15, 595, 75078, 320, 83193, 38, 340, 83193, 7, 38, 12264, 101, 320, 38, 12264, 101, 220, 15, 1192, 83193, 7, 38, 12264, 101, 320, 15, 12264, 101, 480, 1192, 83193, 7, 38, 12264, 101, 480, 340, 1163, 8477, 25, 97265, 7, 38, 12264, 101, 480, 696, 3883, 512, 7, 83193, 38, 8, 75078, 320, 83193, 38, 340, 83193, 38, 198, 1163, 8477, 25, 97265, 38], "tokenizer": "cl100k_base", "tokens_len": 301, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 G) \u2228 (G \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 G)) \u2227 (\u00ac(G \u2228 0))\n\u00ac((G \u2228 0) \u2228 (0 \u2228 G))\n\u00ac(((0 \u2228 G) \u2228 G) \u2228 0)\n\u00ac(0 \u2228 (G \u2228 (G \u2228 0)))\n\u00ac((0 \u2228 G) \u2228 G)\n\u00ac((0 \u2228 G) \u2228 (0 \u2228 G))\n\u00ac(G \u2228 (G \u2228 0))\n\u00ac((G \u2228 0) \u2228 (G \u2228 0))\nChosen: \u00ac((0 \u2228 G) \u2228 G)\n\nOptions:\n(\u00ac(0 \u2228 G)) \u2227 (\u00acG)\n\u00ac(G \u2228 (0 \u2228 G))\n\u00ac(0 \u2228 (G \u2228 G))\n\u00ac(G \u2228 G)\n\u00ac((G \u2228 0) \u2228 G)\nChosen: \u00ac((G \u2228 0) \u2228 G)\n\nOptions:\n(\u00ac(G \u2228 0)) \u2227 (\u00acG)\n\u00ac(G \u2228 (G \u2228 0))\n\u00ac(G \u2228 (0 \u2228 G))\n\u00ac(G \u2228 G)\nChosen: \u00ac(G \u2228 G)\n\nOptions:\n(\u00acG) \u2227 (\u00acG)\n\u00acG\nChosen: \u00acG", "id": 1489}, {"char_len": 610, "tokens": [18902, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 83193, 15, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 15, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 83193, 15, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 15, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 15, 75078, 320, 83193, 16, 340, 7, 16, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 15, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 220, 16, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 320, 16, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 220, 15, 198, 15, 75078, 220, 15, 198, 7, 16, 75078, 320, 83193, 16, 595, 75078, 220, 15, 198, 7, 15, 75078, 220, 16, 8, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 395, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac1) \u2227 ((\u00ac0) \u2227 (\u00ac(\u00ac0)))\n((\u00ac1) \u2227 (\u00ac0)) \u2227 0\n((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac(\u00ac0))\n((\u00ac1) \u2227 1) \u2227 (\u00ac(\u00ac0))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(\u00ac0))\nChosen: ((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac1) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n((\u00ac1) \u2227 (\u00ac0)) \u2227 0\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 1) \u2227 (\u00ac1)\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac1)\nChosen: ((\u00ac1) \u2227 1) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac1) \u2227 1)\n(\u00ac1) \u2227 (1 \u2227 (\u00ac1))\n((\u00ac1) \u2227 1) \u2227 0\n(\u00ac1) \u2227 (\u00ac1)\n0 \u2227 (\u00ac1)\n(1 \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(0 \u2227 1) \u2227 (\u00ac1)\nChosen: ((\u00ac1) \u2227 1) \u2227 0\n\nOptions:\n0\n0 \u2227 ((\u00ac1) \u2227 1)\n(\u00ac1) \u2227 (1 \u2227 0)\n(\u00ac1) \u2227 0\n0 \u2227 0\n(1 \u2227 (\u00ac1)) \u2227 0\n(0 \u2227 1) \u2227 0\nChosen: 0", "id": 1490}, {"char_len": 1378, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 358, 595, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 358, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 320, 40, 12264, 101, 320, 83193, 16, 6054, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 40, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 40, 12264, 101, 423, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 358, 8, 12264, 101, 423, 8, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 40, 12264, 101, 423, 7861, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 358, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 8, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 198, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 1209, 40, 12264, 101, 423, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 358, 8, 12264, 101, 423, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 40, 12264, 101, 423, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 358, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 271, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 340, 16, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 12264, 101, 423, 1192, 1209, 40, 12264, 101, 423, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 358, 8, 12264, 101, 423, 8, 75078, 220, 16, 198, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 40, 12264, 101, 423, 7861, 75078, 220, 16, 198, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 358, 595, 75078, 220, 16, 198, 7, 16, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 198, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 16, 12264, 101, 320, 40, 12264, 101, 423, 595, 75078, 220, 16, 271, 3883, 512, 16, 12264, 101, 320, 40, 12264, 101, 423, 340, 16, 75078, 320, 16, 12264, 101, 320, 40, 12264, 101, 423, 1192, 16, 75078, 220, 16, 198, 1209, 40, 12264, 101, 423, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 198, 1209, 16, 12264, 101, 358, 8, 12264, 101, 423, 8, 75078, 220, 16, 198, 7, 16, 12264, 101, 320, 35, 12264, 101, 358, 595, 75078, 220, 16, 198, 1163, 8477, 25, 220, 16, 75078, 220, 16, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 971, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2228 I) \u2228 (\u00ac1)) \u2227 ((0 \u2228 1) \u2228 (I \u2228 D))\n(((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (1 \u2228 I)) \u2228 (((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 ((\u00ac1) \u2228 (1 \u2228 I))\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (1 \u2228 (I \u2228 (\u00ac1)))\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 ((1 \u2228 I) \u2228 0)\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (1 \u2228 (\u00ac1))\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 ((I \u2228 1) \u2228 (\u00ac1))\n((I \u2228 D) \u2228 (0 \u2228 1)) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n(((0 \u2228 1) \u2228 I) \u2228 D) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n(0 \u2228 (1 \u2228 (I \u2228 D))) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n((0 \u2228 1) \u2228 (D \u2228 I)) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n(1 \u2228 (I \u2228 D)) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\n((1 \u2228 0) \u2228 (I \u2228 D)) \u2227 ((1 \u2228 I) \u2228 (\u00ac1))\nChosen: ((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (1 \u2228 (\u00ac1))\n\nOptions:\n(1 \u2228 (\u00ac1)) \u2227 ((0 \u2228 1) \u2228 (I \u2228 D))\n(((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 1) \u2228 (((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 1\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 ((\u00ac1) \u2228 1)\n((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 (1 \u2228 0)\n((I \u2228 D) \u2228 (0 \u2228 1)) \u2227 (1 \u2228 (\u00ac1))\n(((0 \u2228 1) \u2228 I) \u2228 D) \u2227 (1 \u2228 (\u00ac1))\n(0 \u2228 (1 \u2228 (I \u2228 D))) \u2227 (1 \u2228 (\u00ac1))\n((0 \u2228 1) \u2228 (D \u2228 I)) \u2227 (1 \u2228 (\u00ac1))\n(1 \u2228 (I \u2228 D)) \u2227 (1 \u2228 (\u00ac1))\n((1 \u2228 0) \u2228 (I \u2228 D)) \u2227 (1 \u2228 (\u00ac1))\nChosen: ((0 \u2228 1) \u2228 (I \u2228 D)) \u2227 1\n\nOptions:\n(0 \u2228 1) \u2228 (I \u2228 D)\n1 \u2227 ((0 \u2228 1) \u2228 (I \u2228 D))\n((I \u2228 D) \u2228 (0 \u2228 1)) \u2227 1\n(((0 \u2228 1) \u2228 I) \u2228 D) \u2227 1\n(0 \u2228 (1 \u2228 (I \u2228 D))) \u2227 1\n((0 \u2228 1) \u2228 (D \u2228 I)) \u2227 1\n(1 \u2228 (I \u2228 D)) \u2227 1\n((1 \u2228 0) \u2228 (I \u2228 D)) \u2227 1\nChosen: (1 \u2228 (I \u2228 D)) \u2227 1\n\nOptions:\n1 \u2228 (I \u2228 D)\n1 \u2227 (1 \u2228 (I \u2228 D))\n1 \u2227 1\n((I \u2228 D) \u2228 1) \u2227 1\n((1 \u2228 I) \u2228 D) \u2227 1\n(1 \u2228 (D \u2228 I)) \u2227 1\nChosen: 1 \u2227 1\n\nOptions:\n1\nChosen: 1", "id": 1491}, {"char_len": 3399, "tokens": [18902, 25, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 595, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 1192, 6774, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 44, 75078, 220, 15, 340, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 386, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 386, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 320, 16, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 386, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 6774, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 44, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 7, 16, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 452, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 1192, 6774, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 15, 75078, 386, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 386, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 44, 12264, 101, 220, 16, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 452, 8, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 11861, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 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101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 45, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 452, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 45, 12264, 101, 220, 16, 595, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 16, 12264, 101, 452, 8, 75078, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 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11861, 16, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 7, 16, 75078, 320, 45, 12264, 101, 220, 16, 595, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 12264, 101, 452, 8, 75078, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 1163, 8477, 25, 320, 45, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 19789, 3883, 512, 6774, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 320, 45, 12264, 101, 220, 16, 340, 1209, 45, 12264, 101, 220, 16, 8, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 45, 12264, 101, 320, 16, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 23631, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 45, 12264, 101, 220, 16, 8, 75078, 386, 1192, 8368, 12264, 101, 220, 16, 8, 12264, 101, 52200, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 320, 44, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 1192, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 220, 16, 1192, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 15, 75078, 386, 8, 12264, 101, 320, 83193, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 1819, 44, 75078, 320, 45, 12264, 101, 220, 16, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 8368, 12264, 101, 220, 16, 8, 12264, 101, 11861, 16, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 16, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 7, 16, 12264, 101, 452, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 1163, 8477, 25, 320, 45, 12264, 101, 220, 16, 8, 12264, 101, 11861, 45, 12264, 101, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 75078, 220, 15, 7861], "tokenizer": "cl100k_base", "tokens_len": 2399, "data_type": "boolean", "txt": "Original: ((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n\nOptions:\n((\u00ac0) \u2228 (M \u2227 0)) \u2228 ((N \u2228 1) \u2227 (1 \u2228 M))\n(((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 (\u00ac0)) \u2228 (M \u2227 0)\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 (((\u00ac0) \u2228 M) \u2227 ((\u00ac0) \u2228 0))\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((\u00ac0) \u2228 0)\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((\u00ac0) \u2228 (0 \u2227 M))\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 (1 \u2228 (M \u2227 0))\n((1 \u2228 M) \u2227 (N \u2228 1)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n((N \u2228 1) \u2227 1) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n((N \u2228 1) \u2227 (M \u2228 1)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n(1 \u2227 (1 \u2228 M)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n((1 \u2228 N) \u2227 (1 \u2228 M)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\nChosen: ((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n\nOptions:\n((M \u2227 0) \u2228 (\u00ac0)) \u2228 ((N \u2228 1) \u2227 (1 \u2228 M))\n(((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 (M \u2227 0)) \u2228 (\u00ac0)\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((M \u2227 0) \u2228 1)\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 (0 \u2228 (\u00ac0))\n((N \u2228 1) \u2227 (1 \u2228 M)) \u2228 ((0 \u2227 M) \u2228 (\u00ac0))\n((1 \u2228 M) \u2227 (N \u2228 1)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((N \u2228 1) \u2227 1) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((N \u2228 1) \u2227 (M \u2228 1)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(1 \u2227 (1 \u2228 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((1 \u2228 N) \u2227 (1 \u2228 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\nChosen: (((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n\nOptions:\n((M \u2227 0) \u2228 (\u00ac0)) \u2228 (((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M))\n((((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 (M \u2227 0)) \u2228 (\u00ac0)\n((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((\u00ac0) \u2228 (M \u2227 0))\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 1)\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 (0 \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((0 \u2227 M) \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 M) \u2228 ((N \u2228 1) \u2227 1)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((((N \u2228 1) \u2227 1) \u2228 (N \u2228 1)) \u2227 (((N \u2228 1) \u2227 1) \u2228 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 1) \u2228 (M \u2227 (N \u2228 1))) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 1) \u2228 (1 \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(((N \u2228 1) \u2227 1) \u2228 ((1 \u2228 N) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((N \u2228 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((1 \u2227 (N \u2228 1)) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n((1 \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\n(((1 \u2228 N) \u2227 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\nChosen: ((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n\nOptions:\n(((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0))) \u2228 ((N \u2228 1) \u2227 1)\n((N \u2228 1) \u2227 1) \u2228 (((M \u2227 0) \u2228 (\u00ac0)) \u2228 ((N \u2228 1) \u2227 M))\n((N \u2228 1) \u2227 1) \u2228 ((((N \u2228 1) \u2227 M) \u2228 (M \u2227 0)) \u2228 (\u00ac0))\n((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((\u00ac0) \u2228 (M \u2227 0)))\n((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 1))\n((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 (0 \u2228 (\u00ac0)))\n((N \u2228 1) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((0 \u2227 M) \u2228 (\u00ac0)))\n((N \u2228 1) \u2227 1) \u2228 ((M \u2227 (N \u2228 1)) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n((N \u2228 1) \u2227 1) \u2228 ((1 \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n((N \u2228 1) \u2227 1) \u2228 (((1 \u2228 N) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(1 \u2227 (N \u2228 1)) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(1 \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n((1 \u2228 N) \u2227 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\nChosen: (N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n\nOptions:\n(((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0))) \u2228 (N \u2228 1)\n((N \u2228 1) \u2228 ((N \u2228 1) \u2227 M)) \u2228 ((M \u2227 0) \u2228 (\u00ac0))\nN \u2228 (1 \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0))))\n(N \u2228 1) \u2228 (((M \u2227 0) \u2228 (\u00ac0)) \u2228 ((N \u2228 1) \u2227 M))\n(N \u2228 1) \u2228 ((((N \u2228 1) \u2227 M) \u2228 (M \u2227 0)) \u2228 (\u00ac0))\n(N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((\u00ac0) \u2228 (M \u2227 0)))\n(N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 1))\n(N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 (0 \u2228 (\u00ac0)))\n(N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((0 \u2227 M) \u2228 (\u00ac0)))\n(N \u2228 1) \u2228 ((M \u2227 (N \u2228 1)) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(N \u2228 1) \u2228 ((1 \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(N \u2228 1) \u2228 (((1 \u2228 N) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n1 \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\n(1 \u2228 N) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((M \u2227 0) \u2228 (\u00ac0)))\nChosen: (N \u2228 1) \u2228 (((N \u2228 1) \u2227 M) \u2228 ((\u00ac0) \u2228 (M \u2227 0)))", "id": 1492}, {"char_len": 429, "tokens": [18902, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 55, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 55, 75078, 220, 16, 1192, 83193, 1209, 55, 75078, 220, 16, 8, 75078, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 75078, 1630, 8, 75078, 220, 16, 340, 83193, 1209, 83193, 16, 8, 75078, 1630, 340, 83193, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 1630, 1192, 83193, 7, 15, 75078, 320, 55, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 1630, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 1630, 1192, 83193, 1209, 16, 75078, 1630, 8, 75078, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 75078, 220, 16, 8, 75078, 1630, 340, 83193, 1209, 83193, 16, 8, 75078, 1630, 340, 83193, 7, 15, 75078, 320, 16, 75078, 1630, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 1630, 696, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 55, 340, 83193, 7, 55, 75078, 320, 83193, 16, 1192, 83193, 7, 15, 75078, 1630, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 1630, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 55, 340, 83193, 15, 198, 83193, 7, 55, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 55, 75078, 220, 15, 696, 3883, 512, 7, 83193, 55, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15], "tokenizer": "cl100k_base", "tokens_len": 256, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac1) \u2227 (X \u2227 1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(X \u2227 1))\n\u00ac((X \u2227 1) \u2227 (\u00ac1))\n\u00ac(((\u00ac1) \u2227 X) \u2227 1)\n\u00ac((\u00ac1) \u2227 X)\n\u00ac((\u00ac1) \u2227 (1 \u2227 X))\n\u00ac(0 \u2227 (X \u2227 1))\nChosen: \u00ac((\u00ac1) \u2227 (1 \u2227 X))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(1 \u2227 X))\n\u00ac((1 \u2227 X) \u2227 (\u00ac1))\n\u00ac(((\u00ac1) \u2227 1) \u2227 X)\n\u00ac((\u00ac1) \u2227 X)\n\u00ac(0 \u2227 (1 \u2227 X))\nChosen: \u00ac((\u00ac1) \u2227 X)\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00acX)\n\u00ac(X \u2227 (\u00ac1))\n\u00ac(0 \u2227 X)\nChosen: \u00ac(0 \u2227 X)\n\nOptions:\n(\u00ac0) \u2228 (\u00acX)\n\u00ac0\n\u00ac(X \u2227 0)\nChosen: \u00ac(X \u2227 0)\n\nOptions:\n(\u00acX) \u2228 (\u00ac0)\n\u00ac0\nChosen: \u00ac0", "id": 1493}, {"char_len": 1269, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 52, 12264, 101, 549, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 549, 8, 12264, 101, 549, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 549, 340, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 320, 52, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 34, 12264, 101, 549, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 356, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 52, 12264, 101, 356, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 7, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 12264, 101, 320, 15, 75078, 320, 34, 12264, 101, 549, 1192, 1209, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 52, 12264, 101, 549, 340, 7, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 52, 75078, 549, 1192, 7, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 549, 8, 12264, 101, 549, 340, 7, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 549, 340, 7, 15, 75078, 320, 34, 12264, 101, 549, 595, 12264, 101, 320, 52, 12264, 101, 320, 52, 12264, 101, 549, 1192, 15, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 34, 12264, 101, 549, 8, 75078, 220, 15, 8, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 15, 75078, 356, 8, 12264, 101, 320, 15, 75078, 549, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 7, 15, 75078, 320, 52, 12264, 101, 356, 595, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 4489, 3883, 512, 12597, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 340, 1209, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 320, 52, 12264, 101, 549, 340, 15, 12264, 101, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 52, 75078, 549, 1192, 15, 12264, 101, 11861, 52, 75078, 549, 8, 12264, 101, 549, 8, 12264, 101, 549, 340, 15, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 549, 340, 15, 12264, 101, 320, 52, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1163, 8477, 25, 320, 52, 75078, 549, 8, 12264, 101, 320, 52, 12264, 101, 549, 696, 3883, 512, 12597, 12264, 101, 549, 8, 12264, 101, 320, 52, 75078, 549, 340, 1209, 52, 75078, 549, 8, 12264, 101, 549, 8, 12264, 101, 549, 198, 12597, 75078, 549, 8, 12264, 101, 549, 198, 52, 12264, 101, 320, 52, 12264, 101, 549, 340, 1163, 8477, 25, 1819, 52, 75078, 549, 8, 12264, 101, 549, 8, 12264, 101, 549, 271, 3883, 512, 52, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 549, 340, 12597, 12264, 101, 320, 52, 75078, 549, 595, 12264, 101, 549, 198, 12597, 12264, 101, 549, 8, 12264, 101, 549, 198, 1163, 8477, 25, 549, 12264, 101, 1819, 52, 75078, 549, 8, 12264, 101, 549, 8], "tokenizer": "cl100k_base", "tokens_len": 829, "data_type": "boolean", "txt": "Original: ((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n\nOptions:\n((U \u2227 U) \u2228 (U \u2228 U)) \u2228 ((0 \u2228 0) \u2227 (C \u2228 U))\n(((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 (U \u2227 U)) \u2228 (U \u2228 U)\n((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 ((U \u2228 U) \u2228 (U \u2227 U))\n((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 (((U \u2227 U) \u2228 U) \u2228 U)\n((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 ((U \u2227 U) \u2228 U)\n((0 \u2228 0) \u2227 (C \u2228 U)) \u2228 (U \u2228 (U \u2228 U))\n((C \u2228 U) \u2227 (0 \u2228 0)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n(((0 \u2228 0) \u2227 C) \u2228 ((0 \u2228 0) \u2227 U)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n((0 \u2228 0) \u2227 (U \u2228 C)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n(0 \u2227 (C \u2228 U)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\nChosen: (0 \u2227 (C \u2228 U)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n\nOptions:\n((U \u2227 U) \u2228 (U \u2228 U)) \u2228 (0 \u2227 (C \u2228 U))\n((0 \u2227 (C \u2228 U)) \u2228 (U \u2227 U)) \u2228 (U \u2228 U)\n(0 \u2227 (C \u2228 U)) \u2228 ((U \u2228 U) \u2228 (U \u2227 U))\n(0 \u2227 (C \u2228 U)) \u2228 (((U \u2227 U) \u2228 U) \u2228 U)\n(0 \u2227 (C \u2228 U)) \u2228 ((U \u2227 U) \u2228 U)\n(0 \u2227 (C \u2228 U)) \u2228 (U \u2228 (U \u2228 U))\n0 \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n((C \u2228 U) \u2227 0) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n((0 \u2227 C) \u2228 (0 \u2227 U)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n(0 \u2227 (U \u2228 C)) \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\nChosen: 0 \u2228 ((U \u2227 U) \u2228 (U \u2228 U))\n\nOptions:\n(U \u2227 U) \u2228 (U \u2228 U)\n((U \u2227 U) \u2228 (U \u2228 U)) \u2228 0\n(0 \u2228 (U \u2227 U)) \u2228 (U \u2228 U)\n0 \u2228 ((U \u2228 U) \u2228 (U \u2227 U))\n0 \u2228 (((U \u2227 U) \u2228 U) \u2228 U)\n0 \u2228 ((U \u2227 U) \u2228 U)\n0 \u2228 (U \u2228 (U \u2228 U))\nChosen: (U \u2227 U) \u2228 (U \u2228 U)\n\nOptions:\n(U \u2228 U) \u2228 (U \u2227 U)\n((U \u2227 U) \u2228 U) \u2228 U\n(U \u2227 U) \u2228 U\nU \u2228 (U \u2228 U)\nChosen: ((U \u2227 U) \u2228 U) \u2228 U\n\nOptions:\nU \u2228 ((U \u2227 U) \u2228 U)\n(U \u2228 (U \u2227 U)) \u2228 U\n(U \u2228 U) \u2228 U\nChosen: U \u2228 ((U \u2227 U) \u2228 U)", "id": 1494}, {"char_len": 1977, "tokens": [18902, 25, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 1192, 7, 83193, 16, 8, 75078, 1819, 33, 75078, 507, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 6054, 6774, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 15, 12264, 101, 426, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 15, 12264, 101, 426, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 426, 340, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 340, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 33, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 426, 1192, 1209, 33, 75078, 507, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 1192, 6774, 83193, 16, 8, 75078, 426, 8, 75078, 507, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 1192, 1209, 83193, 16, 8, 75078, 320, 46, 75078, 426, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 1192, 7, 15, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 426, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 696, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 426, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 1192, 7, 83193, 16, 8, 75078, 1819, 33, 75078, 507, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 1192, 6774, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 426, 340, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 33, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 16, 12264, 101, 426, 340, 1209, 33, 75078, 507, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 340, 6774, 83193, 16, 8, 75078, 426, 8, 75078, 507, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 340, 1209, 83193, 16, 8, 75078, 320, 46, 75078, 426, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 340, 7, 15, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 426, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 33, 12264, 101, 320, 16, 75078, 220, 16, 4489, 3883, 512, 5462, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 1192, 7, 83193, 16, 8, 75078, 1819, 33, 75078, 507, 8, 75078, 320, 33, 12264, 101, 320, 16, 75078, 220, 16, 6054, 6774, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 426, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 1819, 33, 12264, 101, 220, 16, 8, 75078, 320, 33, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595, 75078, 320, 33, 12264, 101, 220, 16, 340, 1209, 33, 75078, 507, 8, 75078, 320, 83193, 16, 595, 75078, 320, 33, 12264, 101, 320, 16, 75078, 220, 16, 1192, 6774, 83193, 16, 8, 75078, 426, 8, 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1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 1192, 5462, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 46, 75078, 426, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 426, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 46, 75078, 426, 1192, 1209, 33, 12264, 101, 220, 16, 8, 75078, 320, 33, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 46, 75078, 426, 1192, 5462, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 46, 75078, 426, 1192, 1163, 8477, 25, 320, 33, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 507, 595], "tokenizer": "cl100k_base", "tokens_len": 1215, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B))\n\nOptions:\n((1 \u2227 1) \u2228 (0 \u2228 B)) \u2227 ((\u00ac1) \u2227 (B \u2227 O))\n(\u00ac1) \u2227 ((B \u2227 O) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B)))\n(((\u00ac1) \u2227 (B \u2227 O)) \u2227 (1 \u2227 1)) \u2228 (((\u00ac1) \u2227 (B \u2227 O)) \u2227 (0 \u2228 B))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((0 \u2228 B) \u2228 (1 \u2227 1))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 (((1 \u2227 1) \u2228 0) \u2228 B)\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 B)\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 (B \u2228 0))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 (1 \u2228 (0 \u2228 B))\n((B \u2227 O) \u2227 (\u00ac1)) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B))\n(((\u00ac1) \u2227 B) \u2227 O) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B))\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B))\n(0 \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 (0 \u2228 B))\nChosen: ((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 B)\n\nOptions:\n((1 \u2227 1) \u2228 B) \u2227 ((\u00ac1) \u2227 (B \u2227 O))\n(\u00ac1) \u2227 ((B \u2227 O) \u2227 ((1 \u2227 1) \u2228 B))\n(((\u00ac1) \u2227 (B \u2227 O)) \u2227 (1 \u2227 1)) \u2228 (((\u00ac1) \u2227 (B \u2227 O)) \u2227 B)\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 (B \u2228 (1 \u2227 1))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 (1 \u2228 B)\n((B \u2227 O) \u2227 (\u00ac1)) \u2227 ((1 \u2227 1) \u2228 B)\n(((\u00ac1) \u2227 B) \u2227 O) \u2227 ((1 \u2227 1) \u2228 B)\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 ((1 \u2227 1) \u2228 B)\n(0 \u2227 (B \u2227 O)) \u2227 ((1 \u2227 1) \u2228 B)\nChosen: ((\u00ac1) \u2227 (B \u2227 O)) \u2227 (B \u2228 (1 \u2227 1))\n\nOptions:\n(B \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2227 (B \u2227 O))\n(\u00ac1) \u2227 ((B \u2227 O) \u2227 (B \u2228 (1 \u2227 1)))\n(((\u00ac1) \u2227 (B \u2227 O)) \u2227 B) \u2228 (((\u00ac1) \u2227 (B \u2227 O)) \u2227 (1 \u2227 1))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 ((B \u2228 1) \u2227 (B \u2228 1))\n((\u00ac1) \u2227 (B \u2227 O)) \u2227 (B \u2228 1)\n((B \u2227 O) \u2227 (\u00ac1)) \u2227 (B \u2228 (1 \u2227 1))\n(((\u00ac1) \u2227 B) \u2227 O) \u2227 (B \u2228 (1 \u2227 1))\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 (B \u2228 (1 \u2227 1))\n(0 \u2227 (B \u2227 O)) \u2227 (B \u2228 (1 \u2227 1))\nChosen: ((\u00ac1) \u2227 (O \u2227 B)) \u2227 (B \u2228 (1 \u2227 1))\n\nOptions:\n(B \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2227 (O \u2227 B))\n(\u00ac1) \u2227 ((O \u2227 B) \u2227 (B \u2228 (1 \u2227 1)))\n(((\u00ac1) \u2227 (O \u2227 B)) \u2227 B) \u2228 (((\u00ac1) \u2227 (O \u2227 B)) \u2227 (1 \u2227 1))\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 ((1 \u2227 1) \u2228 B)\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 ((B \u2228 1) \u2227 (B \u2228 1))\n((\u00ac1) \u2227 (O \u2227 B)) \u2227 (B \u2228 1)\n((O \u2227 B) \u2227 (\u00ac1)) \u2227 (B \u2228 (1 \u2227 1))\n(((\u00ac1) \u2227 O) \u2227 B) \u2227 (B \u2228 (1 \u2227 1))\n(0 \u2227 (O \u2227 B)) \u2227 (B \u2228 (1 \u2227 1))\nChosen: (B \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2227 (O \u2227 B))\n\nOptions:\n((B \u2228 (1 \u2227 1)) \u2227 (\u00ac1)) \u2227 (O \u2227 B)\n(B \u2228 (1 \u2227 1)) \u2227 ((O \u2227 B) \u2227 (\u00ac1))\n(B \u2228 (1 \u2227 1)) \u2227 (((\u00ac1) \u2227 O) \u2227 B)\n(B \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2227 (B \u2227 O))\n(B \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (O \u2227 B))\n((1 \u2227 1) \u2228 B) \u2227 ((\u00ac1) \u2227 (O \u2227 B))\n((B \u2228 1) \u2227 (B \u2228 1)) \u2227 ((\u00ac1) \u2227 (O \u2227 B))\n(B \u2228 1) \u2227 ((\u00ac1) \u2227 (O \u2227 B))\nChosen: (B \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2227 (B \u2227 O))", "id": 1495}, {"char_len": 1506, "tokens": [18902, 25, 1819, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 1192, 8368, 12264, 101, 452, 8, 75078, 1819, 45, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 1209, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 45, 12264, 101, 452, 8, 75078, 452, 8, 12264, 101, 1819, 45, 12264, 101, 452, 8, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 16, 12264, 101, 452, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 8368, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 220, 16, 340, 8368, 12264, 101, 452, 8, 75078, 320, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 1209, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 8368, 12264, 101, 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220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 340, 8368, 12264, 101, 452, 8, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 8368, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 45, 12264, 101, 452, 8, 75078, 220, 16, 8, 75078, 220, 16, 271, 3883, 512, 8368, 12264, 101, 452, 8, 75078, 220, 16, 198, 16, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 220, 16, 340, 8368, 12264, 101, 452, 8, 75078, 320, 16, 75078, 220, 16, 340, 7, 16, 75078, 320, 45, 12264, 101, 452, 595, 75078, 220, 16, 198, 8368, 75078, 220, 16, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 45, 12264, 101, 452, 8, 75078, 320, 16, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1005, "data_type": "boolean", "txt": "Original: ((N \u2228 N) \u2227 (N \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2228 (\u00ac1)) \u2227 ((N \u2228 N) \u2227 (N \u2228 1))\n(N \u2228 N) \u2227 ((N \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00ac1)))\n(((N \u2228 N) \u2227 (N \u2228 1)) \u2227 (\u00ac0)) \u2228 (((N \u2228 N) \u2227 (N \u2228 1)) \u2227 (\u00ac1))\n((N \u2228 N) \u2227 (N \u2228 1)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((N \u2228 N) \u2227 (N \u2228 1)) \u2227 ((\u00ac0) \u2228 0)\n((N \u2228 N) \u2227 (N \u2228 1)) \u2227 (1 \u2228 (\u00ac1))\n((N \u2228 1) \u2227 (N \u2228 N)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(((N \u2228 N) \u2227 N) \u2228 ((N \u2228 N) \u2227 1)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((N \u2228 N) \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((N \u2228 N) \u2227 (1 \u2228 N)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(N \u2227 (N \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\nChosen: ((N \u2228 N) \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2228 (\u00ac1)) \u2227 ((N \u2228 N) \u2227 1)\n(N \u2228 N) \u2227 (1 \u2227 ((\u00ac0) \u2228 (\u00ac1)))\n(((N \u2228 N) \u2227 1) \u2227 (\u00ac0)) \u2228 (((N \u2228 N) \u2227 1) \u2227 (\u00ac1))\n((N \u2228 N) \u2227 1) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((N \u2228 N) \u2227 1) \u2227 ((\u00ac0) \u2228 0)\n((N \u2228 N) \u2227 1) \u2227 (1 \u2228 (\u00ac1))\n(N \u2228 N) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(1 \u2227 (N \u2228 N)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(N \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00ac1))\nChosen: ((N \u2228 N) \u2227 1) \u2227 ((\u00ac0) \u2228 0)\n\nOptions:\n((\u00ac0) \u2228 0) \u2227 ((N \u2228 N) \u2227 1)\n(N \u2228 N) \u2227 (1 \u2227 ((\u00ac0) \u2228 0))\n(((N \u2228 N) \u2227 1) \u2227 (\u00ac0)) \u2228 (((N \u2228 N) \u2227 1) \u2227 0)\n((N \u2228 N) \u2227 1) \u2227 (\u00ac0)\n((N \u2228 N) \u2227 1) \u2227 1\n((N \u2228 N) \u2227 1) \u2227 (0 \u2228 (\u00ac0))\n((N \u2228 N) \u2227 1) \u2227 (1 \u2228 0)\n(N \u2228 N) \u2227 ((\u00ac0) \u2228 0)\n(1 \u2227 (N \u2228 N)) \u2227 ((\u00ac0) \u2228 0)\n(N \u2227 1) \u2227 ((\u00ac0) \u2228 0)\nChosen: ((N \u2228 N) \u2227 1) \u2227 (0 \u2228 (\u00ac0))\n\nOptions:\n(0 \u2228 (\u00ac0)) \u2227 ((N \u2228 N) \u2227 1)\n(N \u2228 N) \u2227 (1 \u2227 (0 \u2228 (\u00ac0)))\n(((N \u2228 N) \u2227 1) \u2227 0) \u2228 (((N \u2228 N) \u2227 1) \u2227 (\u00ac0))\n((N \u2228 N) \u2227 1) \u2227 (\u00ac0)\n((N \u2228 N) \u2227 1) \u2227 1\n((N \u2228 N) \u2227 1) \u2227 (0 \u2228 1)\n(N \u2228 N) \u2227 (0 \u2228 (\u00ac0))\n(1 \u2227 (N \u2228 N)) \u2227 (0 \u2228 (\u00ac0))\n(N \u2227 1) \u2227 (0 \u2228 (\u00ac0))\nChosen: ((N \u2228 N) \u2227 1) \u2227 1\n\nOptions:\n(N \u2228 N) \u2227 1\n1 \u2227 ((N \u2228 N) \u2227 1)\n(N \u2228 N) \u2227 (1 \u2227 1)\n(1 \u2227 (N \u2228 N)) \u2227 1\n(N \u2227 1) \u2227 1\nChosen: (N \u2228 N) \u2227 (1 \u2227 1)", "id": 1496}, {"char_len": 424, "tokens": [18902, 25, 97265, 1209, 46, 12264, 101, 220, 16, 8, 12264, 101, 320, 46, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 46, 12264, 101, 328, 1192, 83193, 1209, 46, 12264, 101, 328, 8, 12264, 101, 320, 46, 12264, 101, 220, 16, 1192, 83193, 6774, 46, 12264, 101, 220, 16, 8, 12264, 101, 507, 8, 12264, 101, 328, 340, 83193, 7, 46, 12264, 101, 320, 16, 12264, 101, 320, 46, 12264, 101, 328, 6054, 83193, 1209, 46, 12264, 101, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 507, 1192, 83193, 7, 16, 12264, 101, 320, 46, 12264, 101, 328, 1192, 83193, 1209, 16, 12264, 101, 507, 8, 12264, 101, 320, 46, 12264, 101, 328, 1192, 1163, 8477, 25, 97265, 7, 46, 12264, 101, 320, 16, 12264, 101, 320, 46, 12264, 101, 328, 19789, 3883, 512, 7, 83193, 46, 8, 75078, 320, 83193, 7, 16, 12264, 101, 320, 46, 12264, 101, 328, 6054, 83193, 1209, 16, 12264, 101, 320, 46, 12264, 101, 328, 595, 12264, 101, 507, 340, 83193, 7, 46, 12264, 101, 220, 16, 340, 83193, 7, 46, 12264, 101, 1819, 46, 12264, 101, 328, 8, 12264, 101, 220, 16, 1192, 83193, 7, 46, 12264, 101, 1819, 16, 12264, 101, 507, 8, 12264, 101, 328, 1192, 83193, 7, 46, 12264, 101, 320, 16, 12264, 101, 320, 50, 12264, 101, 507, 6054, 1163, 8477, 25, 97265, 7, 46, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 46, 8, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 507, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 280, "data_type": "boolean", "txt": "Original: \u00ac((O \u2228 1) \u2228 (O \u2228 S))\n\nOptions:\n(\u00ac(O \u2228 1)) \u2227 (\u00ac(O \u2228 S))\n\u00ac((O \u2228 S) \u2228 (O \u2228 1))\n\u00ac(((O \u2228 1) \u2228 O) \u2228 S)\n\u00ac(O \u2228 (1 \u2228 (O \u2228 S)))\n\u00ac((O \u2228 1) \u2228 (S \u2228 O))\n\u00ac(1 \u2228 (O \u2228 S))\n\u00ac((1 \u2228 O) \u2228 (O \u2228 S))\nChosen: \u00ac(O \u2228 (1 \u2228 (O \u2228 S)))\n\nOptions:\n(\u00acO) \u2227 (\u00ac(1 \u2228 (O \u2228 S)))\n\u00ac((1 \u2228 (O \u2228 S)) \u2228 O)\n\u00ac(O \u2228 1)\n\u00ac(O \u2228 ((O \u2228 S) \u2228 1))\n\u00ac(O \u2228 ((1 \u2228 O) \u2228 S))\n\u00ac(O \u2228 (1 \u2228 (S \u2228 O)))\nChosen: \u00ac(O \u2228 1)\n\nOptions:\n(\u00acO) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 O)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1497}, {"char_len": 1070, "tokens": [18902, 25, 320, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 75078, 423, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 423, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 423, 1192, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 35, 75078, 320, 83193, 16, 6054, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 220, 15, 340, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 423, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 423, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 35, 8, 75078, 320, 83193, 16, 1192, 6774, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 7, 83193, 35, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 320, 83193, 16, 6054, 1209, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 198, 1209, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 35, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 11861, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 11861, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 340, 6774, 83193, 35, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 7, 15, 75078, 1819, 83193, 35, 8, 75078, 320, 83193, 16, 7861, 75078, 320, 83193, 16, 340, 1209, 83193, 35, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 35, 595, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 16, 696, 3883, 512, 15, 198, 7, 83193, 16, 8, 75078, 220, 15, 198, 15, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 687, "data_type": "boolean", "txt": "Original: (\u00ac(D \u2228 1)) \u2227 ((0 \u2227 D) \u2227 (\u00ac1))\n\nOptions:\n((0 \u2227 D) \u2227 (\u00ac1)) \u2227 (\u00ac(D \u2228 1))\n((\u00ac(D \u2228 1)) \u2227 (0 \u2227 D)) \u2227 (\u00ac1)\n(\u00ac(D \u2228 1)) \u2227 ((\u00ac1) \u2227 (0 \u2227 D))\n(\u00ac(D \u2228 1)) \u2227 (0 \u2227 (D \u2227 (\u00ac1)))\n(\u00ac(D \u2228 1)) \u2227 ((0 \u2227 D) \u2227 0)\n(\u00ac(D \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\n(\u00ac(D \u2228 1)) \u2227 ((D \u2227 0) \u2227 (\u00ac1))\n((\u00acD) \u2227 (\u00ac1)) \u2227 ((0 \u2227 D) \u2227 (\u00ac1))\n(\u00ac1) \u2227 ((0 \u2227 D) \u2227 (\u00ac1))\n(\u00ac(1 \u2228 D)) \u2227 ((0 \u2227 D) \u2227 (\u00ac1))\nChosen: (\u00ac(D \u2228 1)) \u2227 (0 \u2227 (\u00ac1))\n\nOptions:\n(0 \u2227 (\u00ac1)) \u2227 (\u00ac(D \u2228 1))\n((\u00ac(D \u2228 1)) \u2227 0) \u2227 (\u00ac1)\n(\u00ac(D \u2228 1)) \u2227 0\n(\u00ac(D \u2228 1)) \u2227 ((\u00ac1) \u2227 0)\n(\u00ac(D \u2228 1)) \u2227 (0 \u2227 0)\n((\u00acD) \u2227 (\u00ac1)) \u2227 (0 \u2227 (\u00ac1))\n(\u00ac1) \u2227 (0 \u2227 (\u00ac1))\n(\u00ac(1 \u2228 D)) \u2227 (0 \u2227 (\u00ac1))\nChosen: ((\u00acD) \u2227 (\u00ac1)) \u2227 (0 \u2227 (\u00ac1))\n\nOptions:\n(0 \u2227 (\u00ac1)) \u2227 ((\u00acD) \u2227 (\u00ac1))\n(((\u00acD) \u2227 (\u00ac1)) \u2227 0) \u2227 (\u00ac1)\n(\u00acD) \u2227 ((\u00ac1) \u2227 (0 \u2227 (\u00ac1)))\n((\u00acD) \u2227 (\u00ac1)) \u2227 0\n((\u00acD) \u2227 (\u00ac1)) \u2227 ((\u00ac1) \u2227 0)\n((\u00acD) \u2227 (\u00ac1)) \u2227 (0 \u2227 0)\n((\u00ac1) \u2227 (\u00acD)) \u2227 (0 \u2227 (\u00ac1))\n((\u00acD) \u2227 0) \u2227 (0 \u2227 (\u00ac1))\nChosen: (((\u00acD) \u2227 (\u00ac1)) \u2227 0) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (((\u00acD) \u2227 (\u00ac1)) \u2227 0)\n(((\u00acD) \u2227 (\u00ac1)) \u2227 0) \u2227 0\n0 \u2227 (\u00ac1)\n(0 \u2227 ((\u00acD) \u2227 (\u00ac1))) \u2227 (\u00ac1)\n((\u00acD) \u2227 ((\u00ac1) \u2227 0)) \u2227 (\u00ac1)\n(((\u00ac1) \u2227 (\u00acD)) \u2227 0) \u2227 (\u00ac1)\n(((\u00acD) \u2227 0) \u2227 0) \u2227 (\u00ac1)\nChosen: 0 \u2227 (\u00ac1)\n\nOptions:\n0\n(\u00ac1) \u2227 0\n0 \u2227 0\nChosen: 0 \u2227 0", "id": 1498}, {"char_len": 247, "tokens": [18902, 25, 97265, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 34, 4489, 3883, 512, 7, 83193, 7, 34, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 34, 1192, 83193, 1209, 83193, 34, 8, 75078, 320, 34, 12264, 101, 220, 15, 1192, 83193, 7, 34, 75078, 320, 83193, 34, 1192, 83193, 1209, 15, 12264, 101, 356, 8, 75078, 320, 83193, 34, 1192, 1163, 8477, 25, 97265, 7, 34, 75078, 320, 83193, 34, 4489, 3883, 512, 7, 83193, 34, 8, 12264, 101, 320, 83193, 7, 83193, 34, 1192, 83193, 15, 198, 83193, 1209, 83193, 34, 8, 75078, 356, 340, 1163, 8477, 25, 97265, 1209, 83193, 34, 8, 75078, 356, 696, 3883, 512, 7, 83193, 7, 83193, 34, 595, 12264, 101, 320, 83193, 34, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 146, "data_type": "boolean", "txt": "Original: \u00ac((C \u2228 0) \u2227 (\u00acC))\n\nOptions:\n(\u00ac(C \u2228 0)) \u2228 (\u00ac(\u00acC))\n\u00ac((\u00acC) \u2227 (C \u2228 0))\n\u00ac(C \u2227 (\u00acC))\n\u00ac((0 \u2228 C) \u2227 (\u00acC))\nChosen: \u00ac(C \u2227 (\u00acC))\n\nOptions:\n(\u00acC) \u2228 (\u00ac(\u00acC))\n\u00ac0\n\u00ac((\u00acC) \u2227 C)\nChosen: \u00ac((\u00acC) \u2227 C)\n\nOptions:\n(\u00ac(\u00acC)) \u2228 (\u00acC)\n\u00ac0\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1499}, {"char_len": 765, "tokens": [18902, 25, 97265, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 320, 51, 75078, 1229, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 51, 75078, 1229, 1192, 83193, 1209, 51, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 1229, 1192, 83193, 7, 48, 12264, 101, 320, 48, 12264, 101, 320, 51, 75078, 1229, 6054, 83193, 6774, 48, 12264, 101, 1229, 8, 12264, 101, 350, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 12264, 101, 1229, 1192, 83193, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 320, 48, 75078, 350, 1192, 83193, 7, 48, 12264, 101, 320, 51, 75078, 1229, 1192, 1163, 8477, 25, 97265, 7, 48, 12264, 101, 320, 51, 75078, 1229, 4489, 3883, 512, 7, 83193, 48, 8, 75078, 320, 83193, 7, 51, 75078, 1229, 1192, 83193, 1209, 51, 75078, 1229, 8, 12264, 101, 1229, 340, 83193, 1209, 48, 12264, 101, 350, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 83193, 7, 48, 12264, 101, 320, 48, 75078, 350, 1192, 1163, 8477, 25, 97265, 1209, 48, 12264, 101, 350, 8, 75078, 320, 48, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 83193, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 350, 1192, 83193, 6774, 48, 12264, 101, 350, 8, 75078, 1229, 8, 12264, 101, 1819, 48, 12264, 101, 350, 8, 75078, 1229, 1192, 83193, 1209, 48, 12264, 101, 350, 8, 75078, 1229, 340, 83193, 1209, 51, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 350, 1192, 7, 83193, 7, 48, 12264, 101, 350, 595, 12264, 101, 1819, 83193, 48, 8, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 48, 12264, 101, 350, 595, 12264, 101, 320, 83193, 48, 340, 1209, 83193, 48, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 51, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 350, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 1229, 595, 12264, 101, 1819, 83193, 48, 8, 75078, 320, 83193, 51, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 1229, 1192, 1209, 83193, 48, 8, 75078, 320, 83193, 48, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 350, 1192, 7, 83193, 48, 8, 12264, 101, 320, 83193, 7, 48, 12264, 101, 350, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 12264, 101, 1819, 83193, 48, 8, 75078, 320, 83193, 51, 595], "tokenizer": "cl100k_base", "tokens_len": 491, "data_type": "boolean", "txt": "Original: \u00ac((Q \u2228 Q) \u2228 (T \u2227 Q))\n\nOptions:\n(\u00ac(Q \u2228 Q)) \u2227 (\u00ac(T \u2227 Q))\n\u00ac((T \u2227 Q) \u2228 (Q \u2228 Q))\n\u00ac(Q \u2228 (Q \u2228 (T \u2227 Q)))\n\u00ac(((Q \u2228 Q) \u2228 T) \u2227 ((Q \u2228 Q) \u2228 Q))\n\u00ac((Q \u2228 Q) \u2228 (Q \u2227 T))\n\u00ac(Q \u2228 (T \u2227 Q))\nChosen: \u00ac(Q \u2228 (T \u2227 Q))\n\nOptions:\n(\u00acQ) \u2227 (\u00ac(T \u2227 Q))\n\u00ac((T \u2227 Q) \u2228 Q)\n\u00ac((Q \u2228 T) \u2227 (Q \u2228 Q))\n\u00ac(Q \u2228 (Q \u2227 T))\nChosen: \u00ac((Q \u2228 T) \u2227 (Q \u2228 Q))\n\nOptions:\n(\u00ac(Q \u2228 T)) \u2228 (\u00ac(Q \u2228 Q))\n\u00ac((Q \u2228 Q) \u2227 (Q \u2228 T))\n\u00ac(((Q \u2228 T) \u2227 Q) \u2228 ((Q \u2228 T) \u2227 Q))\n\u00ac((Q \u2228 T) \u2227 Q)\n\u00ac((T \u2228 Q) \u2227 (Q \u2228 Q))\nChosen: (\u00ac(Q \u2228 T)) \u2228 (\u00ac(Q \u2228 Q))\n\nOptions:\n(\u00ac(Q \u2228 Q)) \u2228 (\u00ac(Q \u2228 T))\n(\u00ac(Q \u2228 T)) \u2228 ((\u00acQ) \u2227 (\u00acQ))\n(\u00ac(Q \u2228 T)) \u2228 (\u00acQ)\n((\u00acQ) \u2227 (\u00acT)) \u2228 (\u00ac(Q \u2228 Q))\n(\u00ac(T \u2228 Q)) \u2228 (\u00ac(Q \u2228 Q))\nChosen: (\u00ac(Q \u2228 Q)) \u2228 (\u00ac(Q \u2228 T))\n\nOptions:\n(\u00ac(Q \u2228 Q)) \u2228 ((\u00acQ) \u2227 (\u00acT))\n(\u00ac(Q \u2228 Q)) \u2228 (\u00ac(T \u2228 Q))\n((\u00acQ) \u2227 (\u00acQ)) \u2228 (\u00ac(Q \u2228 T))\n(\u00acQ) \u2228 (\u00ac(Q \u2228 T))\nChosen: (\u00ac(Q \u2228 Q)) \u2228 ((\u00acQ) \u2227 (\u00acT))", "id": 1500}, {"char_len": 1002, "tokens": [18902, 25, 320, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 1209, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 34, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 356, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 1209, 83193, 7, 16, 75078, 356, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 34, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 34, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 34, 340, 1209, 83193, 34, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 34, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 34, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 34, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 34, 340, 1209, 83193, 34, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 7, 83193, 34, 8, 12264, 101, 320, 83193, 16, 340, 7, 83193, 34, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 83193, 34, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 340, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 198, 7, 83193, 34, 8, 12264, 101, 320, 83193, 16, 340, 7, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 8], "tokenizer": "cl100k_base", "tokens_len": 708, "data_type": "boolean", "txt": "Original: (\u00ac(C \u2227 1)) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2227 1) \u2228 (\u00ac1)) \u2228 (\u00ac(C \u2227 1))\n((\u00ac(C \u2227 1)) \u2228 (0 \u2227 1)) \u2228 (\u00ac1)\n(\u00ac(C \u2227 1)) \u2228 ((\u00ac1) \u2228 (0 \u2227 1))\n(\u00ac(C \u2227 1)) \u2228 ((0 \u2227 1) \u2228 0)\n(\u00ac(C \u2227 1)) \u2228 (0 \u2228 (\u00ac1))\n(\u00ac(C \u2227 1)) \u2228 ((1 \u2227 0) \u2228 (\u00ac1))\n((\u00acC) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n(\u00acC) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n(\u00ac(1 \u2227 C)) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\nChosen: (\u00ac(1 \u2227 C)) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2227 1) \u2228 (\u00ac1)) \u2228 (\u00ac(1 \u2227 C))\n((\u00ac(1 \u2227 C)) \u2228 (0 \u2227 1)) \u2228 (\u00ac1)\n(\u00ac(1 \u2227 C)) \u2228 ((\u00ac1) \u2228 (0 \u2227 1))\n(\u00ac(1 \u2227 C)) \u2228 ((0 \u2227 1) \u2228 0)\n(\u00ac(1 \u2227 C)) \u2228 (0 \u2228 (\u00ac1))\n(\u00ac(1 \u2227 C)) \u2228 ((1 \u2227 0) \u2228 (\u00ac1))\n((\u00ac1) \u2228 (\u00acC)) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n(\u00acC) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\nChosen: (\u00acC) \u2228 ((0 \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2227 1) \u2228 (\u00ac1)) \u2228 (\u00acC)\n((\u00acC) \u2228 (0 \u2227 1)) \u2228 (\u00ac1)\n(\u00acC) \u2228 ((\u00ac1) \u2228 (0 \u2227 1))\n(\u00acC) \u2228 ((0 \u2227 1) \u2228 0)\n(\u00acC) \u2228 (0 \u2228 (\u00ac1))\n(\u00acC) \u2228 ((1 \u2227 0) \u2228 (\u00ac1))\nChosen: (\u00acC) \u2228 (0 \u2228 (\u00ac1))\n\nOptions:\n(0 \u2228 (\u00ac1)) \u2228 (\u00acC)\n((\u00acC) \u2228 0) \u2228 (\u00ac1)\n(\u00acC) \u2228 (\u00ac1)\n(\u00acC) \u2228 ((\u00ac1) \u2228 0)\n(\u00acC) \u2228 (0 \u2228 0)\nChosen: (\u00acC) \u2228 ((\u00ac1) \u2228 0)\n\nOptions:\n((\u00ac1) \u2228 0) \u2228 (\u00acC)\n((\u00acC) \u2228 (\u00ac1)) \u2228 0\n(\u00acC) \u2228 (\u00ac1)\n(\u00acC) \u2228 (0 \u2228 0)\nChosen: ((\u00ac1) \u2228 0) \u2228 (\u00acC)", "id": 1501}, {"char_len": 2041, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 4489, 3883, 512, 1209, 83193, 35, 8, 75078, 320, 16, 75078, 423, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 320, 83193, 35, 595, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 320, 16, 75078, 423, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 1819, 16, 75078, 423, 8, 75078, 320, 83193, 35, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 423, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 35, 75078, 220, 16, 1192, 1209, 16, 75078, 423, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 423, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 1192, 7, 16, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 19789, 3883, 512, 1209, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 7861, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 16, 75078, 423, 595, 12264, 101, 320, 16, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 423, 8, 12264, 101, 320, 83193, 35, 595, 75078, 1819, 16, 75078, 423, 8, 12264, 101, 320, 16, 75078, 423, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 16, 75078, 423, 8, 75078, 320, 83193, 35, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 35, 75078, 220, 16, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 35, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 6054, 16, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 6054, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 4489, 3883, 512, 1209, 16, 75078, 423, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 423, 595, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 52200, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 8, 12264, 101, 320, 16, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 423, 8, 12264, 101, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 320, 35, 75078, 1819, 83193, 35, 8, 75078, 220, 16, 6054, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 35, 595, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 35, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 1192, 16, 12264, 101, 1819, 16, 75078, 423, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 4489, 3883, 512, 5549, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 423, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 52200, 83193, 35, 8, 75078, 220, 16, 8, 75078, 423, 8, 12264, 101, 423, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 35, 12264, 101, 1819, 83193, 35, 8, 75078, 220, 16, 595, 75078, 320, 35, 12264, 101, 423, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 320, 35, 75078, 1819, 83193, 35, 8, 75078, 220, 16, 6054, 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320, 35, 75078, 1819, 83193, 35, 8, 75078, 220, 16, 6054, 16, 12264, 101, 320, 35, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 16, 75078, 423, 6054, 16, 12264, 101, 320, 35, 12264, 101, 1819, 83193, 35, 8, 75078, 423, 1192, 16, 12264, 101, 320, 35, 12264, 101, 1819, 16, 75078, 320, 83193, 35, 595, 75078, 423, 1192, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1313, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\n\nOptions:\n((\u00acD) \u2227 (1 \u2227 D)) \u2228 ((1 \u2227 1) \u2228 (1 \u2227 D))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n(((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 (\u00acD)) \u2227 (((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 (1 \u2227 D))\n((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 ((1 \u2227 D) \u2227 (\u00acD))\n((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 (((\u00acD) \u2227 1) \u2227 D)\n((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 ((\u00acD) \u2227 D)\n((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 ((\u00acD) \u2227 (D \u2227 1))\n((1 \u2227 D) \u2228 (1 \u2227 1)) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\n(((1 \u2227 1) \u2228 1) \u2227 ((1 \u2227 1) \u2228 D)) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\n((1 \u2227 1) \u2228 D) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\n((1 \u2227 1) \u2228 (D \u2227 1)) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\n(1 \u2228 (1 \u2227 D)) \u2228 ((\u00acD) \u2227 (1 \u2227 D))\nChosen: (1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n\nOptions:\n((1 \u2227 D) \u2228 ((\u00acD) \u2227 (1 \u2227 D))) \u2228 (1 \u2227 1)\n(1 \u2227 1) \u2228 (((\u00acD) \u2227 (1 \u2227 D)) \u2228 (1 \u2227 D))\n(1 \u2227 1) \u2228 (((1 \u2227 D) \u2228 (\u00acD)) \u2227 ((1 \u2227 D) \u2228 (1 \u2227 D)))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((1 \u2227 D) \u2227 (\u00acD)))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 (((\u00acD) \u2227 1) \u2227 D))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 D))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 (D \u2227 1)))\n(1 \u2227 1) \u2228 (D \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n(1 \u2227 1) \u2228 ((D \u2227 1) \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n1 \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\nChosen: (1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 (((\u00acD) \u2227 1) \u2227 D))\n\nOptions:\n((1 \u2227 D) \u2228 (((\u00acD) \u2227 1) \u2227 D)) \u2228 (1 \u2227 1)\n((1 \u2227 1) \u2228 (1 \u2227 D)) \u2228 (((\u00acD) \u2227 1) \u2227 D)\n(1 \u2227 1) \u2228 ((((\u00acD) \u2227 1) \u2227 D) \u2228 (1 \u2227 D))\n(1 \u2227 1) \u2228 (((1 \u2227 D) \u2228 ((\u00acD) \u2227 1)) \u2227 ((1 \u2227 D) \u2228 D))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 (D \u2227 ((\u00acD) \u2227 1)))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((\u00acD) \u2227 D))\n(1 \u2227 1) \u2228 ((1 \u2227 D) \u2228 ((1 \u2227 (\u00acD)) \u2227 D))\n(1 \u2227 1) \u2228 (D \u2228 (((\u00acD) \u2227 1) \u2227 D))\n(1 \u2227 1) \u2228 ((D \u2227 1) \u2228 (((\u00acD) \u2227 1) \u2227 D))\n1 \u2228 ((1 \u2227 D) \u2228 (((\u00acD) \u2227 1) \u2227 D))\nChosen: (1 \u2227 1) \u2228 (D \u2228 (((\u00acD) \u2227 1) \u2227 D))\n\nOptions:\n(D \u2228 (((\u00acD) \u2227 1) \u2227 D)) \u2228 (1 \u2227 1)\n((1 \u2227 1) \u2228 D) \u2228 (((\u00acD) \u2227 1) \u2227 D)\n(1 \u2227 1) \u2228 ((((\u00acD) \u2227 1) \u2227 D) \u2228 D)\n(1 \u2227 1) \u2228 ((D \u2228 ((\u00acD) \u2227 1)) \u2227 (D \u2228 D))\n(1 \u2227 1) \u2228 (D \u2228 (D \u2227 ((\u00acD) \u2227 1)))\n(1 \u2227 1) \u2228 (D \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n(1 \u2227 1) \u2228 (D \u2228 ((\u00acD) \u2227 D))\n(1 \u2227 1) \u2228 (D \u2228 ((1 \u2227 (\u00acD)) \u2227 D))\n1 \u2228 (D \u2228 (((\u00acD) \u2227 1) \u2227 D))\nChosen: 1 \u2228 (D \u2228 (((\u00acD) \u2227 1) \u2227 D))\n\nOptions:\n1\n(D \u2228 (((\u00acD) \u2227 1) \u2227 D)) \u2228 1\n(1 \u2228 D) \u2228 (((\u00acD) \u2227 1) \u2227 D)\n1 \u2228 ((((\u00acD) \u2227 1) \u2227 D) \u2228 D)\n1 \u2228 ((D \u2228 ((\u00acD) \u2227 1)) \u2227 (D \u2228 D))\n1 \u2228 (D \u2228 (D \u2227 ((\u00acD) \u2227 1)))\n1 \u2228 (D \u2228 ((\u00acD) \u2227 (1 \u2227 D)))\n1 \u2228 (D \u2228 ((\u00acD) \u2227 D))\n1 \u2228 (D \u2228 ((1 \u2227 (\u00acD)) \u2227 D))\nChosen: 1", "id": 1502}, {"char_len": 1887, "tokens": [18902, 25, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 57, 75078, 650, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 57, 75078, 650, 595, 75078, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 1192, 7, 15, 75078, 1901, 8, 75078, 1819, 83193, 57, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 57, 75078, 650, 6054, 6774, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 320, 57, 75078, 650, 1192, 1209, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 57, 75078, 650, 8, 12264, 101, 320, 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16, 8, 75078, 1819, 57, 75078, 220, 15, 8, 75078, 320, 83193, 57, 1192, 16, 75078, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 1192, 7, 16, 12264, 101, 320, 53, 75078, 1901, 595, 75078, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 1192, 1209, 57, 75078, 650, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 1819, 57, 75078, 650, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 1901, 8, 75078, 320, 83193, 57, 595], "tokenizer": "cl100k_base", "tokens_len": 1135, "data_type": "boolean", "txt": "Original: ((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((\u00ac0) \u2228 (Z \u2227 V))\n\nOptions:\n((\u00ac0) \u2228 (Z \u2227 V)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n(0 \u2227 Z) \u2227 ((\u00acZ) \u2227 ((\u00ac0) \u2228 (Z \u2227 V)))\n(((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 (\u00ac0)) \u2228 (((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 (Z \u2227 V))\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((Z \u2227 V) \u2228 (\u00ac0))\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 (((\u00ac0) \u2228 Z) \u2227 ((\u00ac0) \u2228 V))\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((\u00ac0) \u2228 (V \u2227 Z))\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 (1 \u2228 (Z \u2227 V))\n((\u00acZ) \u2227 (0 \u2227 Z)) \u2227 ((\u00ac0) \u2228 (Z \u2227 V))\n(0 \u2227 (Z \u2227 (\u00acZ))) \u2227 ((\u00ac0) \u2228 (Z \u2227 V))\n(0 \u2227 (\u00acZ)) \u2227 ((\u00ac0) \u2228 (Z \u2227 V))\n((Z \u2227 0) \u2227 (\u00acZ)) \u2227 ((\u00ac0) \u2228 (Z \u2227 V))\nChosen: ((\u00ac0) \u2228 (Z \u2227 V)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n\nOptions:\n(((\u00ac0) \u2228 (Z \u2227 V)) \u2227 (0 \u2227 Z)) \u2227 (\u00acZ)\n((\u00ac0) \u2228 (Z \u2227 V)) \u2227 ((\u00acZ) \u2227 (0 \u2227 Z))\n((\u00ac0) \u2228 (Z \u2227 V)) \u2227 (0 \u2227 (Z \u2227 (\u00acZ)))\n((\u00ac0) \u2228 (Z \u2227 V)) \u2227 (0 \u2227 (\u00acZ))\n((\u00ac0) \u2228 (Z \u2227 V)) \u2227 ((Z \u2227 0) \u2227 (\u00acZ))\n((Z \u2227 V) \u2228 (\u00ac0)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n(((\u00ac0) \u2228 Z) \u2227 ((\u00ac0) \u2228 V)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n((\u00ac0) \u2228 (V \u2227 Z)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n(1 \u2228 (Z \u2227 V)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\nChosen: ((Z \u2227 V) \u2228 (\u00ac0)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n\nOptions:\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((Z \u2227 V) \u2228 (\u00ac0))\n(((Z \u2227 V) \u2228 (\u00ac0)) \u2227 (0 \u2227 Z)) \u2227 (\u00acZ)\n((Z \u2227 V) \u2228 (\u00ac0)) \u2227 ((\u00acZ) \u2227 (0 \u2227 Z))\n((Z \u2227 V) \u2228 (\u00ac0)) \u2227 (0 \u2227 (Z \u2227 (\u00acZ)))\n((Z \u2227 V) \u2228 (\u00ac0)) \u2227 (0 \u2227 (\u00acZ))\n((Z \u2227 V) \u2228 (\u00ac0)) \u2227 ((Z \u2227 0) \u2227 (\u00acZ))\n((Z \u2227 V) \u2228 1) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n((V \u2227 Z) \u2228 (\u00ac0)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\nChosen: ((V \u2227 Z) \u2228 (\u00ac0)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n\nOptions:\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((V \u2227 Z) \u2228 (\u00ac0))\n(((V \u2227 Z) \u2228 (\u00ac0)) \u2227 (0 \u2227 Z)) \u2227 (\u00acZ)\n((V \u2227 Z) \u2228 (\u00ac0)) \u2227 ((\u00acZ) \u2227 (0 \u2227 Z))\n((V \u2227 Z) \u2228 (\u00ac0)) \u2227 (0 \u2227 (Z \u2227 (\u00acZ)))\n((V \u2227 Z) \u2228 (\u00ac0)) \u2227 (0 \u2227 (\u00acZ))\n((V \u2227 Z) \u2228 (\u00ac0)) \u2227 ((Z \u2227 0) \u2227 (\u00acZ))\n((\u00ac0) \u2228 (V \u2227 Z)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n((V \u2227 Z) \u2228 1) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\nChosen: ((V \u2227 Z) \u2228 1) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n\nOptions:\n((0 \u2227 Z) \u2227 (\u00acZ)) \u2227 ((V \u2227 Z) \u2228 1)\n(((V \u2227 Z) \u2228 1) \u2227 (0 \u2227 Z)) \u2227 (\u00acZ)\n((V \u2227 Z) \u2228 1) \u2227 ((\u00acZ) \u2227 (0 \u2227 Z))\n((V \u2227 Z) \u2228 1) \u2227 (0 \u2227 (Z \u2227 (\u00acZ)))\n((V \u2227 Z) \u2228 1) \u2227 (0 \u2227 (\u00acZ))\n((V \u2227 Z) \u2228 1) \u2227 ((Z \u2227 0) \u2227 (\u00acZ))\n1 \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n(1 \u2228 (V \u2227 Z)) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\n((Z \u2227 V) \u2228 1) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))\nChosen: ((Z \u2227 V) \u2228 1) \u2227 ((0 \u2227 Z) \u2227 (\u00acZ))", "id": 1503}, {"char_len": 3183, "tokens": [18902, 25, 1819, 48, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 1901, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 16, 75078, 1229, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 16, 75078, 1229, 595, 12264, 101, 1819, 48, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 1901, 1192, 6774, 48, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 1901, 595, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 16, 75078, 1229, 340, 6386, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 1901, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 16, 75078, 1229, 6054, 1209, 48, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 1901, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 83193, 48, 1192, 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75078, 220, 16, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 6774, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 220, 16, 1192, 15, 12264, 101, 1819, 57, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 595, 75078, 1819, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 340, 28955, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1209, 57, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 1901, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 16, 75078, 1901, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 57, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 2201, "data_type": "boolean", "txt": "Original: ((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n\nOptions:\n((\u00acQ) \u2228 (1 \u2227 Q)) \u2228 ((Q \u2227 0) \u2228 (1 \u2227 Z))\n(((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (\u00acQ)) \u2228 (1 \u2227 Q)\n(Q \u2227 0) \u2228 ((1 \u2227 Z) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q)))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((1 \u2227 Q) \u2228 (\u00acQ))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 Q)\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 (Q \u2227 1))\n((1 \u2227 Z) \u2228 (Q \u2227 0)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n(((Q \u2227 0) \u2228 1) \u2227 ((Q \u2227 0) \u2228 Z)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n((Q \u2227 0) \u2228 Z) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n(0 \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\n((0 \u2227 Q) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 (1 \u2227 Q))\nChosen: ((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n\nOptions:\n(((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q)) \u2228 ((Q \u2227 0) \u2228 (1 \u2227 Z))\n(Q \u2227 0) \u2228 ((1 \u2227 Z) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q)))\n(((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 1)) \u2227 (((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 1))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((((\u00acQ) \u2228 1) \u2227 (\u00acQ)) \u2228 (((\u00acQ) \u2228 1) \u2227 Q))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 (Q \u2228 (\u00acQ)))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (1 \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 ((1 \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 Q))\n((1 \u2227 Z) \u2228 (Q \u2227 0)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n(((Q \u2227 0) \u2228 1) \u2227 ((Q \u2227 0) \u2228 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 Z) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n(0 \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((0 \u2227 Q) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\nChosen: ((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n\nOptions:\n(((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q)) \u2228 ((Q \u2227 0) \u2228 (Z \u2227 1))\n(Q \u2227 0) \u2228 ((Z \u2227 1) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q)))\n(((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 1)) \u2227 (((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 1))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((((\u00acQ) \u2228 1) \u2227 (\u00acQ)) \u2228 (((\u00acQ) \u2228 1) \u2227 Q))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 (Q \u2228 (\u00acQ)))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (1 \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((1 \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 Q))\n((Z \u2227 1) \u2228 (Q \u2227 0)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n(((Q \u2227 0) \u2228 Z) \u2227 ((Q \u2227 0) \u2228 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((Q \u2227 0) \u2228 Z) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n(0 \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\n((0 \u2227 Q) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 Q))\nChosen: ((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n\nOptions:\n(((\u00acQ) \u2228 1) \u2227 1) \u2228 ((Q \u2227 0) \u2228 (Z \u2227 1))\n(Q \u2227 0) \u2228 ((Z \u2227 1) \u2228 (((\u00acQ) \u2228 1) \u2227 1))\n(((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 1)) \u2227 (((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 1)\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 1)\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (1 \u2227 ((\u00acQ) \u2228 1))\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 (1 \u2227 1)\n((Q \u2227 0) \u2228 (Z \u2227 1)) \u2228 ((1 \u2228 (\u00acQ)) \u2227 1)\n((Z \u2227 1) \u2228 (Q \u2227 0)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n(((Q \u2227 0) \u2228 Z) \u2227 ((Q \u2227 0) \u2228 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((Q \u2227 0) \u2228 Z) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((Q \u2227 0) \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n(0 \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((0 \u2227 Q) \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\nChosen: (0 \u2228 (Z \u2227 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n\nOptions:\n(((\u00acQ) \u2228 1) \u2227 1) \u2228 (0 \u2228 (Z \u2227 1))\n0 \u2228 ((Z \u2227 1) \u2228 (((\u00acQ) \u2228 1) \u2227 1))\n((0 \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 1)) \u2227 ((0 \u2228 (Z \u2227 1)) \u2228 1)\n(0 \u2228 (Z \u2227 1)) \u2228 ((\u00acQ) \u2228 1)\n(0 \u2228 (Z \u2227 1)) \u2228 (1 \u2227 ((\u00acQ) \u2228 1))\n(0 \u2228 (Z \u2227 1)) \u2228 (1 \u2227 1)\n(0 \u2228 (Z \u2227 1)) \u2228 ((1 \u2228 (\u00acQ)) \u2227 1)\n(Z \u2227 1) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((Z \u2227 1) \u2228 0) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n((0 \u2228 Z) \u2227 (0 \u2228 1)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n(0 \u2228 Z) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\n(0 \u2228 (1 \u2227 Z)) \u2228 (((\u00acQ) \u2228 1) \u2227 1)\nChosen: (0 \u2228 (Z \u2227 1)) \u2228 (1 \u2227 1)", "id": 1504}, {"char_len": 282, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 393, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 393, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 393, 1192, 83193, 1209, 15, 12264, 101, 393, 8, 75078, 220, 16, 340, 83193, 7, 47, 75078, 320, 83193, 15, 1192, 83193, 1209, 47, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 393, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 393, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 15, 12264, 101, 393, 340, 83193, 7, 16, 75078, 320, 15, 12264, 101, 393, 1192, 83193, 7, 47, 75078, 220, 16, 340, 83193, 1209, 47, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 47, 75078, 220, 16, 696, 3883, 512, 7, 83193, 47, 8, 12264, 101, 320, 83193, 16, 340, 83193, 47, 198, 83193, 7, 16, 75078, 393, 340, 1163, 8477, 25, 97265, 47], "tokenizer": "cl100k_base", "tokens_len": 178, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 P) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(0 \u2228 P)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (0 \u2228 P))\n\u00ac((0 \u2228 P) \u2227 1)\n\u00ac(P \u2227 (\u00ac0))\n\u00ac((P \u2228 0) \u2227 (\u00ac0))\nChosen: \u00ac((0 \u2228 P) \u2227 1)\n\nOptions:\n(\u00ac(0 \u2228 P)) \u2228 (\u00ac1)\n\u00ac(0 \u2228 P)\n\u00ac(1 \u2227 (0 \u2228 P))\n\u00ac(P \u2227 1)\n\u00ac((P \u2228 0) \u2227 1)\nChosen: \u00ac(P \u2227 1)\n\nOptions:\n(\u00acP) \u2228 (\u00ac1)\n\u00acP\n\u00ac(1 \u2227 P)\nChosen: \u00acP", "id": 1505}, {"char_len": 381, "tokens": [18902, 25, 97265, 1209, 42, 12264, 101, 650, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 650, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 650, 1192, 83193, 7, 42, 12264, 101, 320, 53, 12264, 101, 320, 83193, 16, 6054, 83193, 1209, 42, 12264, 101, 650, 8, 12264, 101, 220, 15, 340, 83193, 1209, 53, 12264, 101, 735, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 42, 12264, 101, 650, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 42, 12264, 101, 650, 595, 75078, 320, 83193, 15, 340, 83193, 7, 42, 12264, 101, 650, 340, 83193, 7, 15, 12264, 101, 320, 42, 12264, 101, 650, 1192, 83193, 7, 42, 12264, 101, 320, 53, 12264, 101, 220, 15, 1192, 83193, 1209, 53, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 42, 12264, 101, 650, 696, 3883, 512, 7, 83193, 42, 8, 75078, 320, 83193, 53, 340, 83193, 7, 53, 12264, 101, 735, 340, 1163, 8477, 25, 97265, 7, 53, 12264, 101, 735, 696, 3883, 512, 7, 83193, 53, 8, 75078, 320, 83193, 42, 340, 1163, 8477, 25, 320, 83193, 53, 8, 75078, 320, 83193, 42, 696, 3883, 512, 7, 83193, 42, 8, 75078, 320, 83193, 53, 340, 1163, 8477, 25, 320, 83193, 42, 8, 75078, 320, 83193, 53, 8], "tokenizer": "cl100k_base", "tokens_len": 239, "data_type": "boolean", "txt": "Original: \u00ac((K \u2228 V) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(K \u2228 V)) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 (K \u2228 V))\n\u00ac(K \u2228 (V \u2228 (\u00ac1)))\n\u00ac((K \u2228 V) \u2228 0)\n\u00ac((V \u2228 K) \u2228 (\u00ac1))\nChosen: \u00ac((K \u2228 V) \u2228 0)\n\nOptions:\n(\u00ac(K \u2228 V)) \u2227 (\u00ac0)\n\u00ac(K \u2228 V)\n\u00ac(0 \u2228 (K \u2228 V))\n\u00ac(K \u2228 (V \u2228 0))\n\u00ac((V \u2228 K) \u2228 0)\nChosen: \u00ac(K \u2228 V)\n\nOptions:\n(\u00acK) \u2227 (\u00acV)\n\u00ac(V \u2228 K)\nChosen: \u00ac(V \u2228 K)\n\nOptions:\n(\u00acV) \u2227 (\u00acK)\nChosen: (\u00acV) \u2227 (\u00acK)\n\nOptions:\n(\u00acK) \u2227 (\u00acV)\nChosen: (\u00acK) \u2227 (\u00acV)", "id": 1506}, {"char_len": 1494, "tokens": [18902, 25, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 4489, 3883, 512, 1209, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 6054, 6774, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 37, 75078, 435, 595, 12264, 101, 11861, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 320, 37, 75078, 435, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 12264, 101, 320, 83193, 37, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 4489, 3883, 512, 7988, 12264, 101, 320, 83193, 37, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 37, 12264, 101, 320, 83193, 37, 6054, 6774, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 435, 8, 12264, 101, 11861, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 696, 3883, 512, 1209, 83193, 37, 8, 12264, 101, 435, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 1192, 6774, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 595, 12264, 101, 11861, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 435, 340, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 16, 198, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 16, 271, 3883, 512, 7, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 340, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 595, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 220, 16, 198, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 271, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 340, 16, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 16, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 15, 595, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1005, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (1 \u2228 0)) \u2227 ((F \u2227 F) \u2228 (\u00acF))\n\nOptions:\n((F \u2227 F) \u2228 (\u00acF)) \u2227 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2227 ((F \u2227 F) \u2228 (\u00acF)))\n(((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (F \u2227 F)) \u2228 (((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (\u00acF))\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 ((\u00acF) \u2228 (F \u2227 F))\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (F \u2228 (\u00acF))\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 ((F \u2227 F) \u2228 (\u00acF))\n(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 0)) \u2227 ((F \u2227 F) \u2228 (\u00acF))\n((\u00ac0) \u2227 1) \u2227 ((F \u2227 F) \u2228 (\u00acF))\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 ((F \u2227 F) \u2228 (\u00acF))\n(1 \u2227 (1 \u2228 0)) \u2227 ((F \u2227 F) \u2228 (\u00acF))\nChosen: ((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (F \u2228 (\u00acF))\n\nOptions:\n(F \u2228 (\u00acF)) \u2227 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2227 (F \u2228 (\u00acF)))\n(((\u00ac0) \u2227 (1 \u2228 0)) \u2227 F) \u2228 (((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (\u00acF))\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 1\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 ((\u00acF) \u2228 F)\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 (F \u2228 (\u00acF))\n(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 0)) \u2227 (F \u2228 (\u00acF))\n((\u00ac0) \u2227 1) \u2227 (F \u2228 (\u00acF))\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 (F \u2228 (\u00acF))\n(1 \u2227 (1 \u2228 0)) \u2227 (F \u2228 (\u00acF))\nChosen: ((\u00ac0) \u2227 (1 \u2228 0)) \u2227 ((\u00acF) \u2228 F)\n\nOptions:\n((\u00acF) \u2228 F) \u2227 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2227 ((\u00acF) \u2228 F))\n(((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (\u00acF)) \u2228 (((\u00ac0) \u2227 (1 \u2228 0)) \u2227 F)\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 1\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 ((\u00acF) \u2228 F)\n(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 0)) \u2227 ((\u00acF) \u2228 F)\n((\u00ac0) \u2227 1) \u2227 ((\u00acF) \u2228 F)\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 ((\u00acF) \u2228 F)\n(1 \u2227 (1 \u2228 0)) \u2227 ((\u00acF) \u2228 F)\nChosen: ((\u00ac0) \u2227 (1 \u2228 0)) \u2227 1\n\nOptions:\n(\u00ac0) \u2227 (1 \u2228 0)\n1 \u2227 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2227 1)\n((1 \u2228 0) \u2227 (\u00ac0)) \u2227 1\n(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 0)) \u2227 1\n((\u00ac0) \u2227 1) \u2227 1\n((\u00ac0) \u2227 (0 \u2228 1)) \u2227 1\n(1 \u2227 (1 \u2228 0)) \u2227 1\nChosen: ((1 \u2228 0) \u2227 (\u00ac0)) \u2227 1\n\nOptions:\n(1 \u2228 0) \u2227 (\u00ac0)\n1 \u2227 ((1 \u2228 0) \u2227 (\u00ac0))\n(1 \u2228 0) \u2227 ((\u00ac0) \u2227 1)\n((1 \u2228 0) \u2227 1) \u2227 1\n(1 \u2227 (\u00ac0)) \u2227 1\n((0 \u2228 1) \u2227 (\u00ac0)) \u2227 1\nChosen: (1 \u2227 (\u00ac0)) \u2227 1", "id": 1507}, {"char_len": 2553, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 432, 595, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 432, 1192, 6774, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 432, 595, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 48, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 432, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 220, 16, 6054, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 432, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 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75078, 320, 49, 12264, 101, 220, 15, 595, 75078, 1229, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 16, 75078, 320, 15, 12264, 101, 432, 595, 75078, 320, 48, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1710, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n\nOptions:\n((Q \u2228 Q) \u2227 (Q \u2228 1)) \u2227 ((0 \u2228 1) \u2227 (0 \u2228 R))\n(((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n(0 \u2228 1) \u2227 ((0 \u2228 R) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1)))\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 1) \u2227 (Q \u2228 Q))\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (((Q \u2228 Q) \u2227 Q) \u2228 ((Q \u2228 Q) \u2227 1))\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 1)\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 (1 \u2228 Q))\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2227 (Q \u2228 1))\n((0 \u2228 R) \u2227 (0 \u2228 1)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n(((0 \u2228 1) \u2227 0) \u2228 ((0 \u2228 1) \u2227 R)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n((0 \u2228 1) \u2227 R) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n((0 \u2228 1) \u2227 (R \u2228 0)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n(1 \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\n((1 \u2228 0) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 (Q \u2228 1))\nChosen: (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n\nOptions:\n(Q \u2228 1) \u2227 (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q))\n((((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 Q) \u2228 ((((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 1)\n(((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 1\n(((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 (1 \u2228 Q)\n((Q \u2228 Q) \u2227 ((0 \u2228 1) \u2227 (0 \u2228 R))) \u2227 (Q \u2228 1)\n((0 \u2228 1) \u2227 ((0 \u2228 R) \u2227 (Q \u2228 Q))) \u2227 (Q \u2228 1)\n((((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q) \u2228 (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q)) \u2227 (Q \u2228 1)\n(((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q) \u2227 (Q \u2228 1)\n(((0 \u2228 R) \u2227 (0 \u2228 1)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n((((0 \u2228 1) \u2227 0) \u2228 ((0 \u2228 1) \u2227 R)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n(((0 \u2228 1) \u2227 R) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n(((0 \u2228 1) \u2227 (R \u2228 0)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n((1 \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\n(((1 \u2228 0) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 (Q \u2228 1)\nChosen: (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 1\n\nOptions:\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)\n1 \u2227 (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q))\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 ((Q \u2228 Q) \u2227 1)\n((Q \u2228 Q) \u2227 ((0 \u2228 1) \u2227 (0 \u2228 R))) \u2227 1\n((0 \u2228 1) \u2227 ((0 \u2228 R) \u2227 (Q \u2228 Q))) \u2227 1\n((((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q) \u2228 (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q)) \u2227 1\n(((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q) \u2227 1\n(((0 \u2228 R) \u2227 (0 \u2228 1)) \u2227 (Q \u2228 Q)) \u2227 1\n((((0 \u2228 1) \u2227 0) \u2228 ((0 \u2228 1) \u2227 R)) \u2227 (Q \u2228 Q)) \u2227 1\n(((0 \u2228 1) \u2227 R) \u2227 (Q \u2228 Q)) \u2227 1\n(((0 \u2228 1) \u2227 (R \u2228 0)) \u2227 (Q \u2228 Q)) \u2227 1\n((1 \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 1\n(((1 \u2228 0) \u2227 (0 \u2228 R)) \u2227 (Q \u2228 Q)) \u2227 1\nChosen: (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q) \u2227 1\n\nOptions:\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q\n1 \u2227 (((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 Q)\n((0 \u2228 1) \u2227 (0 \u2228 R)) \u2227 (Q \u2227 1)\n(Q \u2227 ((0 \u2228 1) \u2227 (0 \u2228 R))) \u2227 1\n((0 \u2228 1) \u2227 ((0 \u2228 R) \u2227 Q)) \u2227 1\n(((0 \u2228 R) \u2227 (0 \u2228 1)) \u2227 Q) \u2227 1\n((((0 \u2228 1) \u2227 0) \u2228 ((0 \u2228 1) \u2227 R)) \u2227 Q) \u2227 1\n(((0 \u2228 1) \u2227 R) \u2227 Q) \u2227 1\n(((0 \u2228 1) \u2227 (R \u2228 0)) \u2227 Q) \u2227 1\n((1 \u2227 (0 \u2228 R)) \u2227 Q) \u2227 1\n(((1 \u2228 0) \u2227 (0 \u2228 R)) \u2227 Q) \u2227 1\nChosen: ((1 \u2227 (0 \u2228 R)) \u2227 Q) \u2227 1\n\nOptions:\n(1 \u2227 (0 \u2228 R)) \u2227 Q\n1 \u2227 ((1 \u2227 (0 \u2228 R)) \u2227 Q)\n(1 \u2227 (0 \u2228 R)) \u2227 (Q \u2227 1)\n(Q \u2227 (1 \u2227 (0 \u2228 R))) \u2227 1\n(1 \u2227 ((0 \u2228 R) \u2227 Q)) \u2227 1\n((0 \u2228 R) \u2227 Q) \u2227 1\n(((0 \u2228 R) \u2227 1) \u2227 Q) \u2227 1\n(((1 \u2227 0) \u2228 (1 \u2227 R)) \u2227 Q) \u2227 1\n((1 \u2227 R) \u2227 Q) \u2227 1\n((1 \u2227 (R \u2228 0)) \u2227 Q) \u2227 1\nChosen: (1 \u2227 (0 \u2228 R)) \u2227 (Q \u2227 1)", "id": 1508}, {"char_len": 1656, "tokens": [18902, 25, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 5462, 75078, 362, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 6054, 6774, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 1192, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 33, 75078, 362, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 5462, 75078, 320, 32, 75078, 320, 83193, 16, 7861, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 33, 75078, 362, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 32, 75078, 426, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 6774, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 320, 33, 75078, 362, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 362, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 320, 33, 75078, 320, 32, 75078, 320, 83193, 16, 6054, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 32, 75078, 426, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 33, 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75078, 362, 8, 75078, 320, 83193, 16, 1192, 7, 16, 12264, 101, 220, 15, 8, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 33, 75078, 362, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 33, 75078, 362, 595, 75078, 320, 83193, 16, 340, 7, 83193, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 33, 75078, 362, 1192, 7, 83193, 15, 8, 75078, 320, 33, 75078, 320, 32, 75078, 320, 83193, 16, 6054, 7, 83193, 15, 8, 75078, 1819, 33, 75078, 362, 8, 75078, 220, 15, 340, 7, 83193, 15, 8, 75078, 1819, 32, 75078, 426, 8, 75078, 320, 83193, 16, 1192, 16, 75078, 1819, 33, 75078, 362, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 320, 33, 75078, 320, 32, 75078, 320, 83193, 16, 19789, 3883, 512, 5462, 75078, 320, 32, 75078, 320, 83193, 16, 7861, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 426, 8, 75078, 320, 32, 75078, 320, 83193, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 32, 75078, 320, 83193, 16, 595, 75078, 426, 340, 7, 83193, 15, 8, 75078, 320, 33, 75078, 1819, 83193, 16, 8, 75078, 362, 1192, 7, 83193, 15, 8, 75078, 320, 33, 75078, 320, 32, 75078, 220, 15, 1192, 16, 75078, 320, 33, 75078, 320, 32, 75078, 320, 83193, 16, 6054, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 320, 33, 75078, 320, 32, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1023, "data_type": "boolean", "txt": "Original: ((B \u2227 A) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (0 \u2227 1))\n\nOptions:\n((\u00ac0) \u2228 (0 \u2227 1)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n(B \u2227 A) \u2227 ((\u00ac1) \u2227 ((\u00ac0) \u2228 (0 \u2227 1)))\n(((B \u2227 A) \u2227 (\u00ac1)) \u2227 (\u00ac0)) \u2228 (((B \u2227 A) \u2227 (\u00ac1)) \u2227 (0 \u2227 1))\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 ((0 \u2227 1) \u2228 (\u00ac0))\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 (((\u00ac0) \u2228 0) \u2227 ((\u00ac0) \u2228 1))\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 0)\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (1 \u2227 0))\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 (1 \u2228 (0 \u2227 1))\n((\u00ac1) \u2227 (B \u2227 A)) \u2227 ((\u00ac0) \u2228 (0 \u2227 1))\n(B \u2227 (A \u2227 (\u00ac1))) \u2227 ((\u00ac0) \u2228 (0 \u2227 1))\n((B \u2227 A) \u2227 0) \u2227 ((\u00ac0) \u2228 (0 \u2227 1))\n((A \u2227 B) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (0 \u2227 1))\nChosen: ((\u00ac0) \u2228 (0 \u2227 1)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n\nOptions:\n(((\u00ac0) \u2228 (0 \u2227 1)) \u2227 (B \u2227 A)) \u2227 (\u00ac1)\n((\u00ac0) \u2228 (0 \u2227 1)) \u2227 ((\u00ac1) \u2227 (B \u2227 A))\n((\u00ac0) \u2228 (0 \u2227 1)) \u2227 (B \u2227 (A \u2227 (\u00ac1)))\n((\u00ac0) \u2228 (0 \u2227 1)) \u2227 ((B \u2227 A) \u2227 0)\n((\u00ac0) \u2228 (0 \u2227 1)) \u2227 ((A \u2227 B) \u2227 (\u00ac1))\n((0 \u2227 1) \u2228 (\u00ac0)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n(((\u00ac0) \u2228 0) \u2227 ((\u00ac0) \u2228 1)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n((\u00ac0) \u2228 0) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n((\u00ac0) \u2228 (1 \u2227 0)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n(1 \u2228 (0 \u2227 1)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\nChosen: ((\u00ac0) \u2228 0) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n\nOptions:\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 0)\n(((\u00ac0) \u2228 0) \u2227 (B \u2227 A)) \u2227 (\u00ac1)\n((\u00ac0) \u2228 0) \u2227 ((\u00ac1) \u2227 (B \u2227 A))\n((\u00ac0) \u2228 0) \u2227 (B \u2227 (A \u2227 (\u00ac1)))\n((\u00ac0) \u2228 0) \u2227 ((B \u2227 A) \u2227 0)\n((\u00ac0) \u2228 0) \u2227 ((A \u2227 B) \u2227 (\u00ac1))\n(\u00ac0) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n1 \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n(0 \u2228 (\u00ac0)) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n(1 \u2228 0) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\nChosen: (\u00ac0) \u2227 ((B \u2227 A) \u2227 (\u00ac1))\n\nOptions:\n((B \u2227 A) \u2227 (\u00ac1)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (B \u2227 A)) \u2227 (\u00ac1)\n(\u00ac0) \u2227 ((\u00ac1) \u2227 (B \u2227 A))\n(\u00ac0) \u2227 (B \u2227 (A \u2227 (\u00ac1)))\n(\u00ac0) \u2227 ((B \u2227 A) \u2227 0)\n(\u00ac0) \u2227 ((A \u2227 B) \u2227 (\u00ac1))\n1 \u2227 ((B \u2227 A) \u2227 (\u00ac1))\nChosen: (\u00ac0) \u2227 (B \u2227 (A \u2227 (\u00ac1)))\n\nOptions:\n(B \u2227 (A \u2227 (\u00ac1))) \u2227 (\u00ac0)\n((\u00ac0) \u2227 B) \u2227 (A \u2227 (\u00ac1))\n(\u00ac0) \u2227 ((A \u2227 (\u00ac1)) \u2227 B)\n(\u00ac0) \u2227 (B \u2227 ((\u00ac1) \u2227 A))\n(\u00ac0) \u2227 (B \u2227 (A \u2227 0))\n1 \u2227 (B \u2227 (A \u2227 (\u00ac1)))\nChosen: (\u00ac0) \u2227 (B \u2227 (A \u2227 0))", "id": 1509}, {"char_len": 389, "tokens": [18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 83193, 50, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 328, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 328, 271, 3883, 512, 50, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 328, 198, 7, 83193, 16, 8, 75078, 328, 198, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 328, 198, 1163, 8477, 25, 328, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 50, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 50, 75078, 320, 83193, 16, 340, 50, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 328, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 328, 198, 50, 75078, 220, 15, 198, 1163, 8477, 25, 328, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 328, 198, 1163, 8477, 25, 220, 15, 75078, 328], "tokenizer": "cl100k_base", "tokens_len": 240, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2228 1)) \u2227 (\u00ac(\u00acS))\n\nOptions:\n(\u00ac(\u00acS)) \u2227 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2227 S\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac(\u00acS))\n(\u00ac1) \u2227 (\u00ac(\u00acS))\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(\u00acS))\nChosen: (\u00ac(0 \u2228 1)) \u2227 S\n\nOptions:\nS \u2227 (\u00ac(0 \u2228 1))\n((\u00ac0) \u2227 (\u00ac1)) \u2227 S\n(\u00ac1) \u2227 S\n(\u00ac(1 \u2228 0)) \u2227 S\nChosen: S \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\nS \u2227 ((\u00ac0) \u2227 (\u00ac1))\nS \u2227 (\u00ac1)\nS \u2227 (\u00ac(1 \u2228 0))\nChosen: S \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 S\nS \u2227 0\nChosen: S \u2227 0\n\nOptions:\n0\n0 \u2227 S\nChosen: 0 \u2227 S", "id": 1510}, {"char_len": 1947, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 6054, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 423, 1192, 1209, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 432, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 49, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 19789, 3883, 512, 1209, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 7861, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 16, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 23631, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 23631, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 35, 8, 75078, 320, 83193, 16, 6054, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 423, 6054, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 6054, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 432, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 6054, 16, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 6054, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 320, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 7861, 12264, 101, 320, 49, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 6054, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 11861, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 432, 8, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 432, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 423, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 19789, 3883, 512, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 7861, 12264, 101, 220, 15, 198, 15, 12264, 101, 220, 16, 198, 15, 12264, 101, 11861, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 15, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 7861, 12264, 101, 320, 49, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 23631, 15, 12264, 101, 320, 16, 12264, 101, 11861, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 432, 8, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 432, 6054, 15, 12264, 101, 320, 16, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 6054, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 49, 12264, 101, 220, 16, 6054, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 423, 595, 12264, 101, 320, 49, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 220, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 4489, 3883, 512, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 15, 12264, 101, 220, 16, 198, 15, 12264, 101, 11861, 83193, 7, 35, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 15, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 7861, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 16, 23631, 15, 12264, 101, 320, 16, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 1192, 15, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 423, 595, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1491, "data_type": "boolean", "txt": "Original: ((0 \u2228 1) \u2228 (R \u2228 1)) \u2228 (\u00ac(D \u2228 1))\n\nOptions:\n(\u00ac(D \u2228 1)) \u2228 ((0 \u2228 1) \u2228 (R \u2228 1))\n(0 \u2228 1) \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1)))\n((0 \u2228 1) \u2228 (R \u2228 1)) \u2228 ((\u00acD) \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (R \u2228 1)) \u2228 (\u00ac1)\n((0 \u2228 1) \u2228 (R \u2228 1)) \u2228 (\u00ac(1 \u2228 D))\n((R \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(D \u2228 1))\n(((0 \u2228 1) \u2228 R) \u2228 1) \u2228 (\u00ac(D \u2228 1))\n(0 \u2228 (1 \u2228 (R \u2228 1))) \u2228 (\u00ac(D \u2228 1))\n((0 \u2228 1) \u2228 1) \u2228 (\u00ac(D \u2228 1))\n((0 \u2228 1) \u2228 (1 \u2228 R)) \u2228 (\u00ac(D \u2228 1))\n(1 \u2228 (R \u2228 1)) \u2228 (\u00ac(D \u2228 1))\n((1 \u2228 0) \u2228 (R \u2228 1)) \u2228 (\u00ac(D \u2228 1))\nChosen: (0 \u2228 1) \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1)))\n\nOptions:\n((R \u2228 1) \u2228 (\u00ac(D \u2228 1))) \u2228 (0 \u2228 1)\n0 \u2228 (1 \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1))))\n(0 \u2228 1) \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))\n(0 \u2228 1) \u2228 (R \u2228 (1 \u2228 (\u00ac(D \u2228 1))))\n(0 \u2228 1) \u2228 ((R \u2228 1) \u2228 ((\u00acD) \u2227 (\u00ac1)))\n(0 \u2228 1) \u2228 ((R \u2228 1) \u2228 (\u00ac1))\n(0 \u2228 1) \u2228 ((R \u2228 1) \u2228 (\u00ac(1 \u2228 D)))\n(0 \u2228 1) \u2228 (1 \u2228 (\u00ac(D \u2228 1)))\n(0 \u2228 1) \u2228 ((1 \u2228 R) \u2228 (\u00ac(D \u2228 1)))\n1 \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1)))\n(1 \u2228 0) \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1)))\nChosen: (0 \u2228 1) \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))\n\nOptions:\n((\u00ac(D \u2228 1)) \u2228 (R \u2228 1)) \u2228 (0 \u2228 1)\n((0 \u2228 1) \u2228 (\u00ac(D \u2228 1))) \u2228 (R \u2228 1)\n0 \u2228 (1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1)))\n(0 \u2228 1) \u2228 (((\u00ac(D \u2228 1)) \u2228 R) \u2228 1)\n(0 \u2228 1) \u2228 ((\u00ac(D \u2228 1)) \u2228 1)\n(0 \u2228 1) \u2228 ((\u00ac(D \u2228 1)) \u2228 (1 \u2228 R))\n(0 \u2228 1) \u2228 (((\u00acD) \u2227 (\u00ac1)) \u2228 (R \u2228 1))\n(0 \u2228 1) \u2228 ((\u00ac1) \u2228 (R \u2228 1))\n(0 \u2228 1) \u2228 ((\u00ac(1 \u2228 D)) \u2228 (R \u2228 1))\n1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))\n(1 \u2228 0) \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))\nChosen: 0 \u2228 (1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1)))\n\nOptions:\n1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))\n(1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (R \u2228 1))) \u2228 0\n0 \u2228 1\n0 \u2228 (((\u00ac(D \u2228 1)) \u2228 (R \u2228 1)) \u2228 1)\n0 \u2228 ((1 \u2228 (\u00ac(D \u2228 1))) \u2228 (R \u2228 1))\n0 \u2228 (1 \u2228 ((R \u2228 1) \u2228 (\u00ac(D \u2228 1))))\n0 \u2228 (1 \u2228 (((\u00ac(D \u2228 1)) \u2228 R) \u2228 1))\n0 \u2228 (1 \u2228 ((\u00ac(D \u2228 1)) \u2228 1))\n0 \u2228 (1 \u2228 ((\u00ac(D \u2228 1)) \u2228 (1 \u2228 R)))\n0 \u2228 (1 \u2228 (((\u00acD) \u2227 (\u00ac1)) \u2228 (R \u2228 1)))\n0 \u2228 (1 \u2228 ((\u00ac1) \u2228 (R \u2228 1)))\n0 \u2228 (1 \u2228 ((\u00ac(1 \u2228 D)) \u2228 (R \u2228 1)))\nChosen: 0 \u2228 (1 \u2228 ((\u00ac(D \u2228 1)) \u2228 1))\n\nOptions:\n1 \u2228 ((\u00ac(D \u2228 1)) \u2228 1)\n(1 \u2228 ((\u00ac(D \u2228 1)) \u2228 1)) \u2228 0\n(0 \u2228 1) \u2228 ((\u00ac(D \u2228 1)) \u2228 1)\n0 \u2228 1\n0 \u2228 (((\u00ac(D \u2228 1)) \u2228 1) \u2228 1)\n0 \u2228 ((1 \u2228 (\u00ac(D \u2228 1))) \u2228 1)\n0 \u2228 (1 \u2228 1)\n0 \u2228 (1 \u2228 (1 \u2228 (\u00ac(D \u2228 1))))\n0 \u2228 (1 \u2228 (((\u00acD) \u2227 (\u00ac1)) \u2228 1))\n0 \u2228 (1 \u2228 ((\u00ac1) \u2228 1))\n0 \u2228 (1 \u2228 ((\u00ac(1 \u2228 D)) \u2228 1))\nChosen: 0 \u2228 1", "id": 1511}, {"char_len": 322, "tokens": [18902, 25, 97265, 1209, 15, 75078, 650, 8, 75078, 320, 53, 12264, 101, 650, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 650, 595, 12264, 101, 320, 83193, 7, 53, 12264, 101, 650, 1192, 83193, 1209, 53, 12264, 101, 650, 8, 75078, 320, 15, 75078, 650, 1192, 83193, 7, 15, 75078, 320, 53, 75078, 320, 53, 12264, 101, 650, 6054, 83193, 6774, 15, 75078, 650, 8, 75078, 650, 8, 12264, 101, 1819, 15, 75078, 650, 8, 75078, 650, 1192, 83193, 1209, 15, 75078, 650, 8, 75078, 650, 340, 83193, 7, 15, 75078, 320, 53, 12264, 101, 650, 1192, 83193, 1209, 53, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 53, 12264, 101, 650, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 53, 12264, 101, 650, 1192, 83193, 15, 198, 83193, 1209, 53, 12264, 101, 650, 8, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 650, 8, 12264, 101, 320, 15, 75078, 650, 1192, 83193, 7, 15, 75078, 650, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 189, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2227 V) \u2227 (V \u2228 V))\n\nOptions:\n(\u00ac(0 \u2227 V)) \u2228 (\u00ac(V \u2228 V))\n\u00ac((V \u2228 V) \u2227 (0 \u2227 V))\n\u00ac(0 \u2227 (V \u2227 (V \u2228 V)))\n\u00ac(((0 \u2227 V) \u2227 V) \u2228 ((0 \u2227 V) \u2227 V))\n\u00ac((0 \u2227 V) \u2227 V)\n\u00ac(0 \u2227 (V \u2228 V))\n\u00ac((V \u2227 0) \u2227 (V \u2228 V))\nChosen: \u00ac(0 \u2227 (V \u2228 V))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(V \u2228 V))\n\u00ac0\n\u00ac((V \u2228 V) \u2227 0)\n\u00ac((0 \u2227 V) \u2228 (0 \u2227 V))\n\u00ac(0 \u2227 V)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1512}, {"char_len": 1416, "tokens": [18902, 25, 1819, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 1192, 6774, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 595, 75078, 11861, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 735, 1192, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 11861, 15, 12264, 101, 735, 8, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 42, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 42, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 42, 8, 75078, 320, 46, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 1192, 19792, 75078, 320, 16, 75078, 320, 83193, 42, 7861, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 1192, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 16, 75078, 507, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 735, 8, 75078, 220, 16, 8, 12264, 101, 1819, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 1192, 6774, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 595, 75078, 11861, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 340, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 735, 1192, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 42, 75078, 220, 16, 340, 1209, 46, 75078, 220, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 42, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 42, 8, 75078, 320, 46, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 19792, 75078, 320, 16, 75078, 320, 83193, 42, 7861, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 1209, 16, 75078, 507, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 46, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 735, 8, 75078, 220, 16, 8, 12264, 101, 320, 46, 75078, 320, 83193, 42, 1192, 1209, 46, 75078, 320, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 595, 75078, 1819, 46, 75078, 320, 83193, 42, 595, 12264, 101, 220, 16, 340, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 320, 15, 12264, 101, 735, 340, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 735, 1192, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 320, 42, 75078, 220, 16, 340, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 42, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 42, 8, 75078, 507, 8, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 46, 75078, 320, 83193, 42, 595, 12264, 101, 320, 42, 75078, 220, 16, 696, 3883, 512, 17155, 75078, 220, 16, 8, 12264, 101, 320, 46, 75078, 320, 83193, 42, 1192, 1209, 46, 75078, 320, 83193, 42, 595, 12264, 101, 735, 8, 75078, 1819, 46, 75078, 320, 83193, 42, 595, 12264, 101, 220, 16, 340, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 735, 198, 19792, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 75078, 735, 340, 1209, 83193, 42, 8, 75078, 507, 8, 12264, 101, 320, 42, 75078, 220, 16, 340, 1163, 8477, 25, 320, 42, 75078, 220, 16, 8, 12264, 101, 320, 46, 75078, 320, 83193, 42, 4489, 3883, 512, 1209, 42, 75078, 220, 16, 8, 12264, 101, 507, 8, 75078, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 83193, 42, 1192, 17155, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 507, 340, 42, 12264, 101, 320, 46, 75078, 320, 83193, 42, 1192, 7, 16, 75078, 735, 8, 12264, 101, 320, 46, 75078, 320, 83193, 42, 1192, 1163, 8477, 25, 735, 12264, 101, 320, 46, 75078, 320, 83193, 42, 595], "tokenizer": "cl100k_base", "tokens_len": 915, "data_type": "boolean", "txt": "Original: ((O \u2227 1) \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 (1 \u2227 1))\n\nOptions:\n((0 \u2228 K) \u2227 (1 \u2227 1)) \u2228 ((O \u2227 1) \u2227 (\u00acK))\n(((O \u2227 1) \u2227 (\u00acK)) \u2228 (0 \u2228 K)) \u2227 (((O \u2227 1) \u2227 (\u00acK)) \u2228 (1 \u2227 1))\n((O \u2227 1) \u2227 (\u00acK)) \u2228 ((1 \u2227 1) \u2227 (0 \u2228 K))\n((O \u2227 1) \u2227 (\u00acK)) \u2228 (((0 \u2228 K) \u2227 1) \u2227 1)\n((O \u2227 1) \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 1)\n((O \u2227 1) \u2227 (\u00acK)) \u2228 (K \u2227 (1 \u2227 1))\n((O \u2227 1) \u2227 (\u00acK)) \u2228 ((K \u2228 0) \u2227 (1 \u2227 1))\n((\u00acK) \u2227 (O \u2227 1)) \u2228 ((0 \u2228 K) \u2227 (1 \u2227 1))\n(O \u2227 (1 \u2227 (\u00acK))) \u2228 ((0 \u2228 K) \u2227 (1 \u2227 1))\n(O \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 (1 \u2227 1))\n((1 \u2227 O) \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 (1 \u2227 1))\nChosen: ((O \u2227 1) \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 1)\n\nOptions:\n((0 \u2228 K) \u2227 1) \u2228 ((O \u2227 1) \u2227 (\u00acK))\n(((O \u2227 1) \u2227 (\u00acK)) \u2228 (0 \u2228 K)) \u2227 (((O \u2227 1) \u2227 (\u00acK)) \u2228 1)\n((O \u2227 1) \u2227 (\u00acK)) \u2228 (0 \u2228 K)\n((O \u2227 1) \u2227 (\u00acK)) \u2228 (1 \u2227 (0 \u2228 K))\n((O \u2227 1) \u2227 (\u00acK)) \u2228 (K \u2227 1)\n((O \u2227 1) \u2227 (\u00acK)) \u2228 ((K \u2228 0) \u2227 1)\n((\u00acK) \u2227 (O \u2227 1)) \u2228 ((0 \u2228 K) \u2227 1)\n(O \u2227 (1 \u2227 (\u00acK))) \u2228 ((0 \u2228 K) \u2227 1)\n(O \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 1)\n((1 \u2227 O) \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 1)\nChosen: (O \u2227 (\u00acK)) \u2228 ((0 \u2228 K) \u2227 1)\n\nOptions:\n((0 \u2228 K) \u2227 1) \u2228 (O \u2227 (\u00acK))\n((O \u2227 (\u00acK)) \u2228 (0 \u2228 K)) \u2227 ((O \u2227 (\u00acK)) \u2228 1)\n(O \u2227 (\u00acK)) \u2228 (0 \u2228 K)\n(O \u2227 (\u00acK)) \u2228 (1 \u2227 (0 \u2228 K))\n(O \u2227 (\u00acK)) \u2228 (K \u2227 1)\n(O \u2227 (\u00acK)) \u2228 ((K \u2228 0) \u2227 1)\n((\u00acK) \u2227 O) \u2228 ((0 \u2228 K) \u2227 1)\nChosen: (O \u2227 (\u00acK)) \u2228 (K \u2227 1)\n\nOptions:\n(K \u2227 1) \u2228 (O \u2227 (\u00acK))\n((O \u2227 (\u00acK)) \u2228 K) \u2227 ((O \u2227 (\u00acK)) \u2228 1)\n(O \u2227 (\u00acK)) \u2228 K\n(O \u2227 (\u00acK)) \u2228 (1 \u2227 K)\n((\u00acK) \u2227 O) \u2228 (K \u2227 1)\nChosen: (K \u2227 1) \u2228 (O \u2227 (\u00acK))\n\nOptions:\n((K \u2227 1) \u2228 O) \u2227 ((K \u2227 1) \u2228 (\u00acK))\n(K \u2227 1) \u2228 ((\u00acK) \u2227 O)\nK \u2228 (O \u2227 (\u00acK))\n(1 \u2227 K) \u2228 (O \u2227 (\u00acK))\nChosen: K \u2228 (O \u2227 (\u00acK))", "id": 1513}, {"char_len": 927, "tokens": [18902, 25, 97265, 1209, 49, 12264, 101, 350, 8, 75078, 320, 15, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 432, 1192, 83193, 1209, 15, 12264, 101, 432, 8, 75078, 320, 49, 12264, 101, 350, 1192, 83193, 6774, 49, 12264, 101, 350, 8, 75078, 220, 15, 8, 12264, 101, 1819, 49, 12264, 101, 350, 8, 75078, 432, 1192, 83193, 1209, 49, 12264, 101, 350, 8, 75078, 432, 340, 83193, 1209, 49, 12264, 101, 350, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 83193, 1209, 51, 12264, 101, 432, 8, 75078, 320, 15, 12264, 101, 432, 1192, 1163, 8477, 25, 320, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 49, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 49, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 220, 15, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 432, 1192, 7, 83193, 7, 51, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 432, 1192, 1163, 8477, 25, 320, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 49, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1209, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 320, 83193, 49, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 49, 1192, 7, 83193, 7, 51, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 49, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 432, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 7, 16, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 4489, 3883, 512, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 320, 83193, 49, 1192, 7, 16, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 1192, 7, 16, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 432, 1192, 7, 83193, 49, 8, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1209, 83193, 49, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 432, 595], "tokenizer": "cl100k_base", "tokens_len": 613, "data_type": "boolean", "txt": "Original: \u00ac((R \u2228 T) \u2227 (0 \u2228 R))\n\nOptions:\n(\u00ac(R \u2228 T)) \u2228 (\u00ac(0 \u2228 R))\n\u00ac((0 \u2228 R) \u2227 (R \u2228 T))\n\u00ac(((R \u2228 T) \u2227 0) \u2228 ((R \u2228 T) \u2227 R))\n\u00ac((R \u2228 T) \u2227 R)\n\u00ac((R \u2228 T) \u2227 (R \u2228 0))\n\u00ac((T \u2228 R) \u2227 (0 \u2228 R))\nChosen: (\u00ac(R \u2228 T)) \u2228 (\u00ac(0 \u2228 R))\n\nOptions:\n(\u00ac(0 \u2228 R)) \u2228 (\u00ac(R \u2228 T))\n(\u00ac(R \u2228 T)) \u2228 ((\u00ac0) \u2227 (\u00acR))\n(\u00ac(R \u2228 T)) \u2228 (\u00acR)\n(\u00ac(R \u2228 T)) \u2228 (\u00ac(R \u2228 0))\n((\u00acR) \u2227 (\u00acT)) \u2228 (\u00ac(0 \u2228 R))\n(\u00ac(T \u2228 R)) \u2228 (\u00ac(0 \u2228 R))\nChosen: (\u00ac(R \u2228 T)) \u2228 ((\u00ac0) \u2227 (\u00acR))\n\nOptions:\n((\u00ac0) \u2227 (\u00acR)) \u2228 (\u00ac(R \u2228 T))\n((\u00ac(R \u2228 T)) \u2228 (\u00ac0)) \u2227 ((\u00ac(R \u2228 T)) \u2228 (\u00acR))\n(\u00ac(R \u2228 T)) \u2228 ((\u00acR) \u2227 (\u00ac0))\n(\u00ac(R \u2228 T)) \u2228 (1 \u2227 (\u00acR))\n((\u00acR) \u2227 (\u00acT)) \u2228 ((\u00ac0) \u2227 (\u00acR))\n(\u00ac(T \u2228 R)) \u2228 ((\u00ac0) \u2227 (\u00acR))\nChosen: ((\u00ac0) \u2227 (\u00acR)) \u2228 (\u00ac(R \u2228 T))\n\nOptions:\n((\u00ac0) \u2227 (\u00acR)) \u2228 ((\u00acR) \u2227 (\u00acT))\n((\u00ac0) \u2227 (\u00acR)) \u2228 (\u00ac(T \u2228 R))\n((\u00acR) \u2227 (\u00ac0)) \u2228 (\u00ac(R \u2228 T))\n(1 \u2227 (\u00acR)) \u2228 (\u00ac(R \u2228 T))\nChosen: (1 \u2227 (\u00acR)) \u2228 (\u00ac(R \u2228 T))\n\nOptions:\n(\u00ac(R \u2228 T)) \u2228 (1 \u2227 (\u00acR))\n(1 \u2227 (\u00acR)) \u2228 ((\u00acR) \u2227 (\u00acT))\n(1 \u2227 (\u00acR)) \u2228 (\u00ac(T \u2228 R))\n(\u00acR) \u2228 (\u00ac(R \u2228 T))\n((\u00acR) \u2227 1) \u2228 (\u00ac(R \u2228 T))\nChosen: (1 \u2227 (\u00acR)) \u2228 (\u00ac(T \u2228 R))", "id": 1514}, {"char_len": 660, "tokens": [18902, 25, 320, 83193, 7, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 49, 75078, 432, 595, 12264, 101, 320, 83193, 7, 49, 75078, 220, 15, 1192, 7, 83193, 7, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 7, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 7, 83193, 7, 15, 75078, 432, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1163, 8477, 25, 320, 83193, 7, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 4489, 3883, 512, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 49, 595, 12264, 101, 320, 83193, 7, 49, 75078, 220, 15, 1192, 1209, 83193, 7, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 49, 595, 12264, 101, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 7, 15, 75078, 432, 595, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 4489, 3883, 512, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 49, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 49, 595, 12264, 101, 320, 83193, 49, 340, 16, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 1163, 8477, 25, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 49, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 49, 340, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 446, "data_type": "boolean", "txt": "Original: (\u00ac(R \u2227 0)) \u2228 (\u00ac(R \u2227 R))\n\nOptions:\n(\u00ac(R \u2227 R)) \u2228 (\u00ac(R \u2227 0))\n(\u00ac(R \u2227 0)) \u2228 ((\u00acR) \u2228 (\u00acR))\n(\u00ac(R \u2227 0)) \u2228 (\u00acR)\n((\u00acR) \u2228 (\u00ac0)) \u2228 (\u00ac(R \u2227 R))\n(\u00ac0) \u2228 (\u00ac(R \u2227 R))\n(\u00ac(0 \u2227 R)) \u2228 (\u00ac(R \u2227 R))\nChosen: (\u00ac(R \u2227 0)) \u2228 ((\u00acR) \u2228 (\u00acR))\n\nOptions:\n((\u00acR) \u2228 (\u00acR)) \u2228 (\u00ac(R \u2227 0))\n((\u00ac(R \u2227 0)) \u2228 (\u00acR)) \u2228 (\u00acR)\n((\u00acR) \u2228 (\u00ac0)) \u2228 ((\u00acR) \u2228 (\u00acR))\n(\u00ac0) \u2228 ((\u00acR) \u2228 (\u00acR))\n(\u00ac(0 \u2227 R)) \u2228 ((\u00acR) \u2228 (\u00acR))\nChosen: (\u00ac0) \u2228 ((\u00acR) \u2228 (\u00acR))\n\nOptions:\n((\u00acR) \u2228 (\u00acR)) \u2228 (\u00ac0)\n((\u00ac0) \u2228 (\u00acR)) \u2228 (\u00acR)\n1 \u2228 ((\u00acR) \u2228 (\u00acR))\nChosen: ((\u00acR) \u2228 (\u00acR)) \u2228 (\u00ac0)\n\nOptions:\n(\u00acR) \u2228 ((\u00acR) \u2228 (\u00ac0))\n((\u00acR) \u2228 (\u00acR)) \u2228 1\nChosen: (\u00acR) \u2228 ((\u00acR) \u2228 (\u00ac0))\n\nOptions:\n((\u00acR) \u2228 (\u00ac0)) \u2228 (\u00acR)\n(\u00acR) \u2228 ((\u00ac0) \u2228 (\u00acR))\n(\u00acR) \u2228 ((\u00acR) \u2228 1)\nChosen: (\u00acR) \u2228 ((\u00acR) \u2228 1)", "id": 1515}, {"char_len": 321, "tokens": [18902, 25, 97265, 1209, 36, 75078, 220, 16, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 36, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 36, 75078, 220, 16, 1192, 83193, 7, 36, 75078, 320, 16, 75078, 320, 83193, 15, 6054, 83193, 1209, 36, 75078, 220, 16, 8, 75078, 220, 16, 340, 83193, 7, 36, 75078, 320, 83193, 15, 1192, 83193, 1209, 16, 75078, 469, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 7, 36, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 36, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 469, 340, 83193, 7, 36, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 469, 696, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 36, 340, 83193, 7, 16, 75078, 469, 340, 1163, 8477, 25, 97265, 7, 16, 75078, 469, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 36, 340, 83193, 36, 198, 83193, 7, 36, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 36], "tokenizer": "cl100k_base", "tokens_len": 192, "data_type": "boolean", "txt": "Original: \u00ac((E \u2227 1) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(E \u2227 1)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (E \u2227 1))\n\u00ac(E \u2227 (1 \u2227 (\u00ac0)))\n\u00ac((E \u2227 1) \u2227 1)\n\u00ac(E \u2227 (\u00ac0))\n\u00ac((1 \u2227 E) \u2227 (\u00ac0))\nChosen: \u00ac(E \u2227 (\u00ac0))\n\nOptions:\n(\u00acE) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 E)\n\u00ac(E \u2227 1)\nChosen: \u00ac((\u00ac0) \u2227 E)\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00acE)\n\u00ac(1 \u2227 E)\nChosen: \u00ac(1 \u2227 E)\n\nOptions:\n(\u00ac1) \u2228 (\u00acE)\n\u00acE\n\u00ac(E \u2227 1)\nChosen: \u00acE", "id": 1516}, {"char_len": 813, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 1229, 8, 75078, 320, 15, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 15, 75078, 445, 1192, 83193, 1209, 15, 75078, 445, 8, 75078, 320, 15, 12264, 101, 1229, 1192, 83193, 6774, 15, 12264, 101, 1229, 8, 75078, 220, 15, 8, 75078, 445, 340, 83193, 1209, 15, 12264, 101, 1229, 8, 75078, 220, 15, 340, 83193, 1209, 15, 12264, 101, 1229, 8, 75078, 320, 43, 75078, 220, 15, 1192, 83193, 7, 48, 75078, 320, 15, 75078, 445, 1192, 83193, 1209, 48, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 445, 1192, 1163, 8477, 25, 97265, 1209, 15, 75078, 445, 8, 75078, 320, 15, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 445, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 83193, 7, 15, 75078, 320, 43, 75078, 320, 15, 12264, 101, 1229, 6054, 83193, 6774, 15, 75078, 445, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 445, 8, 75078, 1229, 1192, 83193, 1209, 15, 75078, 445, 8, 75078, 1229, 340, 83193, 1209, 15, 75078, 445, 8, 75078, 320, 48, 12264, 101, 220, 15, 1192, 83193, 7, 15, 75078, 320, 15, 12264, 101, 1229, 1192, 83193, 1209, 43, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 445, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 15, 75078, 445, 1192, 7, 83193, 7, 15, 75078, 445, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 15, 75078, 445, 595, 12264, 101, 320, 83193, 48, 340, 7, 83193, 7, 15, 75078, 445, 595, 12264, 101, 320, 83193, 7, 48, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 43, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 43, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 48, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 48, 340, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 48, 12264, 101, 220, 15, 1192, 16, 12264, 101, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1229, 595, 12264, 101, 220, 16, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 48, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 48, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 48, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 533, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 Q) \u2227 (0 \u2227 L))\n\nOptions:\n(\u00ac(0 \u2228 Q)) \u2228 (\u00ac(0 \u2227 L))\n\u00ac((0 \u2227 L) \u2227 (0 \u2228 Q))\n\u00ac(((0 \u2228 Q) \u2227 0) \u2227 L)\n\u00ac((0 \u2228 Q) \u2227 0)\n\u00ac((0 \u2228 Q) \u2227 (L \u2227 0))\n\u00ac(Q \u2227 (0 \u2227 L))\n\u00ac((Q \u2228 0) \u2227 (0 \u2227 L))\nChosen: \u00ac((0 \u2227 L) \u2227 (0 \u2228 Q))\n\nOptions:\n(\u00ac(0 \u2227 L)) \u2228 (\u00ac(0 \u2228 Q))\n\u00ac(0 \u2227 (L \u2227 (0 \u2228 Q)))\n\u00ac(((0 \u2227 L) \u2227 0) \u2228 ((0 \u2227 L) \u2227 Q))\n\u00ac((0 \u2227 L) \u2227 Q)\n\u00ac((0 \u2227 L) \u2227 (Q \u2228 0))\n\u00ac(0 \u2227 (0 \u2228 Q))\n\u00ac((L \u2227 0) \u2227 (0 \u2228 Q))\nChosen: (\u00ac(0 \u2227 L)) \u2228 (\u00ac(0 \u2228 Q))\n\nOptions:\n(\u00ac(0 \u2228 Q)) \u2228 (\u00ac(0 \u2227 L))\n(\u00ac(0 \u2227 L)) \u2228 ((\u00ac0) \u2227 (\u00acQ))\n(\u00ac(0 \u2227 L)) \u2228 (\u00acQ)\n(\u00ac(0 \u2227 L)) \u2228 (\u00ac(Q \u2228 0))\n((\u00ac0) \u2228 (\u00acL)) \u2228 (\u00ac(0 \u2228 Q))\n(\u00ac0) \u2228 (\u00ac(0 \u2228 Q))\n(\u00ac(L \u2227 0)) \u2228 (\u00ac(0 \u2228 Q))\nChosen: (\u00ac0) \u2228 (\u00ac(0 \u2228 Q))\n\nOptions:\n(\u00ac(0 \u2228 Q)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 ((\u00ac0) \u2227 (\u00acQ))\n(\u00ac0) \u2228 (\u00acQ)\n(\u00ac0) \u2228 (\u00ac(Q \u2228 0))\n1 \u2228 (\u00ac(0 \u2228 Q))\nChosen: (\u00ac(0 \u2228 Q)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac(0 \u2228 Q)) \u2228 1\n((\u00ac0) \u2227 (\u00acQ)) \u2228 (\u00ac0)\n(\u00acQ) \u2228 (\u00ac0)\n(\u00ac(Q \u2228 0)) \u2228 (\u00ac0)\nChosen: (\u00acQ) \u2228 (\u00ac0)", "id": 1517}, {"char_len": 1557, "tokens": [18902, 25, 1819, 42, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 42, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 42, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 340, 17155, 12264, 101, 386, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 42, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 42, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 17155, 12264, 101, 320, 44, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 42, 12264, 101, 386, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 44, 12264, 101, 735, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 42, 12264, 101, 386, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 735, 8, 12264, 101, 386, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 44, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1209, 44, 12264, 101, 735, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 15, 8, 12264, 101, 386, 8, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 44, 12264, 101, 735, 1192, 1209, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 1819, 44, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 6054, 7, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 7, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 16, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 44, 12264, 101, 735, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 386, 8, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 44, 12264, 101, 735, 1192, 1209, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 320, 83193, 42, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 44, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 1192, 16, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1209, 44, 12264, 101, 735, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 386, 8, 12264, 101, 735, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 42, 12264, 101, 386, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 16, 12264, 101, 320, 44, 12264, 101, 735, 595, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1107, "data_type": "boolean", "txt": "Original: ((K \u2228 M) \u2228 (\u00ac0)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n\nOptions:\n((\u00acK) \u2228 (\u00ac0)) \u2228 ((K \u2228 M) \u2228 (\u00ac0))\n(((K \u2228 M) \u2228 (\u00ac0)) \u2228 (\u00acK)) \u2228 (\u00ac0)\n(K \u2228 M) \u2228 ((\u00ac0) \u2228 ((\u00acK) \u2228 (\u00ac0)))\n((K \u2228 M) \u2228 (\u00ac0)) \u2228 ((\u00ac0) \u2228 (\u00acK))\n((K \u2228 M) \u2228 (\u00ac0)) \u2228 ((\u00acK) \u2228 1)\n((\u00ac0) \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(K \u2228 (M \u2228 (\u00ac0))) \u2228 ((\u00acK) \u2228 (\u00ac0))\n((K \u2228 M) \u2228 1) \u2228 ((\u00acK) \u2228 (\u00ac0))\n((M \u2228 K) \u2228 (\u00ac0)) \u2228 ((\u00acK) \u2228 (\u00ac0))\nChosen: ((\u00ac0) \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n\nOptions:\n((\u00acK) \u2228 (\u00ac0)) \u2228 ((\u00ac0) \u2228 (K \u2228 M))\n(((\u00ac0) \u2228 (K \u2228 M)) \u2228 (\u00acK)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 ((K \u2228 M) \u2228 ((\u00acK) \u2228 (\u00ac0)))\n((\u00ac0) \u2228 (K \u2228 M)) \u2228 ((\u00ac0) \u2228 (\u00acK))\n((\u00ac0) \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 1)\n(((\u00ac0) \u2228 K) \u2228 M) \u2228 ((\u00acK) \u2228 (\u00ac0))\n((\u00ac0) \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(1 \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 (\u00ac0))\nChosen: ((\u00ac0) \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n\nOptions:\n((\u00acK) \u2228 (\u00ac0)) \u2228 ((\u00ac0) \u2228 (M \u2228 K))\n(((\u00ac0) \u2228 (M \u2228 K)) \u2228 (\u00acK)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 ((M \u2228 K) \u2228 ((\u00acK) \u2228 (\u00ac0)))\n((\u00ac0) \u2228 (M \u2228 K)) \u2228 ((\u00ac0) \u2228 (\u00acK))\n((\u00ac0) \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 1)\n((M \u2228 K) \u2228 (\u00ac0)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(((\u00ac0) \u2228 M) \u2228 K) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(1 \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 (\u00ac0))\nChosen: (1 \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n\nOptions:\n((\u00acK) \u2228 (\u00ac0)) \u2228 (1 \u2228 (M \u2228 K))\n((1 \u2228 (M \u2228 K)) \u2228 (\u00acK)) \u2228 (\u00ac0)\n1 \u2228 ((M \u2228 K) \u2228 ((\u00acK) \u2228 (\u00ac0)))\n(1 \u2228 (M \u2228 K)) \u2228 ((\u00ac0) \u2228 (\u00acK))\n(1 \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 1)\n1 \u2228 ((\u00acK) \u2228 (\u00ac0))\n((M \u2228 K) \u2228 1) \u2228 ((\u00acK) \u2228 (\u00ac0))\n((1 \u2228 M) \u2228 K) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(1 \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 (\u00ac0))\nChosen: (1 \u2228 (M \u2228 K)) \u2228 ((\u00acK) \u2228 1)\n\nOptions:\n((\u00acK) \u2228 1) \u2228 (1 \u2228 (M \u2228 K))\n((1 \u2228 (M \u2228 K)) \u2228 (\u00acK)) \u2228 1\n1 \u2228 ((M \u2228 K) \u2228 ((\u00acK) \u2228 1))\n(1 \u2228 (M \u2228 K)) \u2228 1\n(1 \u2228 (M \u2228 K)) \u2228 (1 \u2228 (\u00acK))\n1 \u2228 ((\u00acK) \u2228 1)\n((M \u2228 K) \u2228 1) \u2228 ((\u00acK) \u2228 1)\n((1 \u2228 M) \u2228 K) \u2228 ((\u00acK) \u2228 1)\n(1 \u2228 (K \u2228 M)) \u2228 ((\u00acK) \u2228 1)\nChosen: (1 \u2228 (M \u2228 K)) \u2228 1", "id": 1518}, {"char_len": 235, "tokens": [18902, 25, 320, 83193, 7, 83193, 56, 595, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 56, 1192, 7, 83193, 7, 83193, 56, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 56, 595, 12264, 101, 320, 83193, 15, 340, 56, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 816, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 816, 198, 56, 12264, 101, 220, 16, 198, 56, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 816, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 816, 198, 56, 12264, 101, 220, 16, 198, 1163, 8477, 25, 816, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 816, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 150, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acY)) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acY))\n(\u00ac(\u00acY)) \u2228 1\n(\u00ac(\u00acY)) \u2228 (\u00ac0)\nY \u2228 (\u00ac(\u00ac1))\nChosen: Y \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 Y\nY \u2228 1\nY \u2228 (\u00ac0)\nChosen: Y \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 Y\nY \u2228 1\nChosen: Y \u2228 1\n\nOptions:\n1\n1 \u2228 Y\nChosen: 1", "id": 1519}, {"char_len": 232, "tokens": [18902, 25, 97265, 1209, 83193, 33, 8, 12264, 101, 320, 33, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 33, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 83193, 1209, 33, 75078, 220, 15, 8, 12264, 101, 320, 83193, 33, 1192, 83193, 6774, 83193, 33, 8, 12264, 101, 426, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 83193, 33, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 33, 8, 12264, 101, 320, 15, 75078, 426, 1192, 1163, 8477, 25, 97265, 1209, 83193, 33, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 33, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 33, 340, 83193, 7, 15, 12264, 101, 320, 83193, 33, 1192, 1163, 8477, 25, 97265, 7, 83193, 33, 696, 3883, 512, 33, 198, 1163, 8477, 25, 426], "tokenizer": "cl100k_base", "tokens_len": 142, "data_type": "boolean", "txt": "Original: \u00ac((\u00acB) \u2228 (B \u2227 0))\n\nOptions:\n(\u00ac(\u00acB)) \u2227 (\u00ac(B \u2227 0))\n\u00ac((B \u2227 0) \u2228 (\u00acB))\n\u00ac(((\u00acB) \u2228 B) \u2227 ((\u00acB) \u2228 0))\n\u00ac((\u00acB) \u2228 0)\n\u00ac((\u00acB) \u2228 (0 \u2227 B))\nChosen: \u00ac((\u00acB) \u2228 0)\n\nOptions:\n(\u00ac(\u00acB)) \u2227 (\u00ac0)\n\u00ac(\u00acB)\n\u00ac(0 \u2228 (\u00acB))\nChosen: \u00ac(\u00acB)\n\nOptions:\nB\nChosen: B", "id": 1520}, {"char_len": 702, "tokens": [18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 43, 340, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 43, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 320, 83193, 43, 1192, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 43, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 43, 340, 7, 83193, 15, 8, 75078, 1819, 83193, 43, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 320, 16, 75078, 320, 83193, 43, 1192, 7, 83193, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 43, 1192, 16, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 4489, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 43, 340, 16, 75078, 1819, 83193, 43, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 16, 75078, 320, 16, 75078, 320, 83193, 43, 1192, 16, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 43, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 43, 696, 3883, 512, 7, 83193, 43, 8, 75078, 320, 16, 12264, 101, 220, 15, 340, 16, 75078, 320, 83193, 43, 340, 7, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 43, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 43, 696, 3883, 512, 83193, 43, 198, 7, 83193, 43, 8, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 43], "tokenizer": "cl100k_base", "tokens_len": 461, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2228 0)) \u2227 ((1 \u2228 0) \u2227 (\u00acL))\n\nOptions:\n((1 \u2228 0) \u2227 (\u00acL)) \u2227 (\u00ac(0 \u2228 0))\n((\u00ac(0 \u2228 0)) \u2227 (1 \u2228 0)) \u2227 (\u00acL)\n(\u00ac(0 \u2228 0)) \u2227 ((\u00acL) \u2227 (1 \u2228 0))\n(\u00ac(0 \u2228 0)) \u2227 (1 \u2227 (\u00acL))\n(\u00ac(0 \u2228 0)) \u2227 ((0 \u2228 1) \u2227 (\u00acL))\n((\u00ac0) \u2227 (\u00ac0)) \u2227 ((1 \u2228 0) \u2227 (\u00acL))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2227 (\u00acL))\nChosen: (\u00ac0) \u2227 ((1 \u2228 0) \u2227 (\u00acL))\n\nOptions:\n((1 \u2228 0) \u2227 (\u00acL)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (1 \u2228 0)) \u2227 (\u00acL)\n(\u00ac0) \u2227 ((\u00acL) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 (1 \u2227 (\u00acL))\n(\u00ac0) \u2227 ((0 \u2228 1) \u2227 (\u00acL))\n1 \u2227 ((1 \u2228 0) \u2227 (\u00acL))\nChosen: 1 \u2227 ((1 \u2228 0) \u2227 (\u00acL))\n\nOptions:\n(1 \u2228 0) \u2227 (\u00acL)\n((1 \u2228 0) \u2227 (\u00acL)) \u2227 1\n(1 \u2227 (1 \u2228 0)) \u2227 (\u00acL)\n1 \u2227 ((\u00acL) \u2227 (1 \u2228 0))\n1 \u2227 (1 \u2227 (\u00acL))\n1 \u2227 ((0 \u2228 1) \u2227 (\u00acL))\nChosen: (1 \u2228 0) \u2227 (\u00acL)\n\nOptions:\n(\u00acL) \u2227 (1 \u2228 0)\n1 \u2227 (\u00acL)\n(0 \u2228 1) \u2227 (\u00acL)\nChosen: 1 \u2227 (\u00acL)\n\nOptions:\n\u00acL\n(\u00acL) \u2227 1\nChosen: \u00acL", "id": 1521}, {"char_len": 717, "tokens": [18902, 25, 97265, 1209, 52, 75078, 549, 8, 12264, 101, 320, 16, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 7, 16, 75078, 622, 1192, 83193, 1209, 16, 75078, 622, 8, 12264, 101, 320, 52, 75078, 549, 1192, 83193, 6774, 52, 75078, 549, 8, 12264, 101, 220, 16, 8, 75078, 1819, 52, 75078, 549, 8, 12264, 101, 622, 1192, 83193, 1209, 52, 75078, 549, 8, 12264, 101, 622, 340, 83193, 1209, 52, 75078, 549, 8, 12264, 101, 320, 41, 75078, 220, 16, 1192, 83193, 7, 52, 12264, 101, 320, 16, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 7, 16, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 622, 595, 75078, 320, 83193, 7, 52, 75078, 549, 1192, 7, 83193, 7, 52, 75078, 549, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 41, 1192, 7, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 41, 340, 7, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 7, 41, 75078, 220, 16, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 7, 16, 75078, 622, 1192, 7, 83193, 52, 8, 75078, 320, 83193, 7, 16, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 7, 41, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 220, 16, 595, 75078, 320, 83193, 7, 52, 75078, 549, 1192, 7, 83193, 7, 52, 75078, 549, 595, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 52, 75078, 549, 595, 75078, 320, 83193, 41, 340, 1209, 83193, 52, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 7, 41, 75078, 220, 16, 1192, 7, 83193, 52, 8, 75078, 320, 83193, 7, 41, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 52, 8, 75078, 320, 83193, 7, 41, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 220, 16, 595, 75078, 320, 83193, 52, 340, 7, 83193, 52, 8, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 52, 8, 75078, 320, 83193, 41, 340, 7, 83193, 52, 8, 75078, 320, 83193, 7, 16, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 75078, 220, 16, 595, 75078, 320, 83193, 52, 696, 3883, 512, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 52, 340, 7, 83193, 41, 8, 75078, 320, 83193, 52, 340, 7, 83193, 7, 16, 75078, 622, 595, 75078, 320, 83193, 52, 340, 1163, 8477, 25, 320, 83193, 41, 8, 75078, 320, 83193, 52, 8], "tokenizer": "cl100k_base", "tokens_len": 443, "data_type": "boolean", "txt": "Original: \u00ac((U \u2227 U) \u2228 (1 \u2227 J))\n\nOptions:\n(\u00ac(U \u2227 U)) \u2227 (\u00ac(1 \u2227 J))\n\u00ac((1 \u2227 J) \u2228 (U \u2227 U))\n\u00ac(((U \u2227 U) \u2228 1) \u2227 ((U \u2227 U) \u2228 J))\n\u00ac((U \u2227 U) \u2228 J)\n\u00ac((U \u2227 U) \u2228 (J \u2227 1))\n\u00ac(U \u2228 (1 \u2227 J))\nChosen: (\u00ac(U \u2227 U)) \u2227 (\u00ac(1 \u2227 J))\n\nOptions:\n(\u00ac(1 \u2227 J)) \u2227 (\u00ac(U \u2227 U))\n(\u00ac(U \u2227 U)) \u2227 ((\u00ac1) \u2228 (\u00acJ))\n(\u00ac(U \u2227 U)) \u2227 (\u00acJ)\n(\u00ac(U \u2227 U)) \u2227 (\u00ac(J \u2227 1))\n((\u00acU) \u2228 (\u00acU)) \u2227 (\u00ac(1 \u2227 J))\n(\u00acU) \u2227 (\u00ac(1 \u2227 J))\nChosen: (\u00ac(U \u2227 U)) \u2227 (\u00ac(J \u2227 1))\n\nOptions:\n(\u00ac(J \u2227 1)) \u2227 (\u00ac(U \u2227 U))\n(\u00ac(U \u2227 U)) \u2227 ((\u00acJ) \u2228 (\u00ac1))\n(\u00ac(U \u2227 U)) \u2227 (\u00acJ)\n((\u00acU) \u2228 (\u00acU)) \u2227 (\u00ac(J \u2227 1))\n(\u00acU) \u2227 (\u00ac(J \u2227 1))\nChosen: (\u00acU) \u2227 (\u00ac(J \u2227 1))\n\nOptions:\n(\u00ac(J \u2227 1)) \u2227 (\u00acU)\n(\u00acU) \u2227 ((\u00acJ) \u2228 (\u00ac1))\n(\u00acU) \u2227 (\u00acJ)\n(\u00acU) \u2227 (\u00ac(1 \u2227 J))\nChosen: (\u00ac(J \u2227 1)) \u2227 (\u00acU)\n\nOptions:\n((\u00acJ) \u2228 (\u00ac1)) \u2227 (\u00acU)\n(\u00acJ) \u2227 (\u00acU)\n(\u00ac(1 \u2227 J)) \u2227 (\u00acU)\nChosen: (\u00acJ) \u2227 (\u00acU)", "id": 1522}, {"char_len": 807, "tokens": [18902, 25, 1819, 39, 75078, 220, 15, 8, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 4489, 3883, 512, 7, 83193, 7, 83193, 39, 595, 12264, 101, 1819, 39, 75078, 220, 15, 8, 75078, 320, 39, 12264, 101, 1229, 1192, 1209, 39, 75078, 220, 15, 8, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 473, 198, 1209, 39, 12264, 101, 1229, 8, 75078, 320, 39, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 11135, 75078, 320, 15, 75078, 320, 39, 12264, 101, 1229, 7861, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 6774, 39, 75078, 220, 15, 8, 75078, 473, 8, 12264, 101, 1819, 39, 75078, 220, 15, 8, 75078, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1209, 39, 75078, 220, 15, 8, 75078, 320, 48, 12264, 101, 473, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 7, 15, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1209, 15, 75078, 473, 8, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 4489, 3883, 512, 7, 83193, 7, 83193, 39, 595, 12264, 101, 320, 15, 75078, 320, 39, 12264, 101, 1229, 1192, 7, 15, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 473, 198, 15, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1209, 39, 12264, 101, 1229, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1209, 15, 75078, 473, 8, 12264, 101, 320, 15, 75078, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 7, 15, 75078, 320, 48, 12264, 101, 473, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1163, 8477, 25, 1819, 39, 12264, 101, 1229, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 39, 4489, 3883, 512, 7, 83193, 7, 83193, 39, 595, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 220, 15, 340, 1209, 39, 12264, 101, 1229, 8, 75078, 220, 15, 8, 12264, 101, 473, 198, 15, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1209, 48, 12264, 101, 473, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 39, 595, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 7, 83193, 39, 595, 12264, 101, 320, 39, 12264, 101, 1229, 595, 75078, 1819, 83193, 7, 83193, 39, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 39, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 39, 595, 12264, 101, 320, 15, 75078, 320, 39, 12264, 101, 1229, 1192, 7, 83193, 7, 83193, 39, 595, 12264, 101, 1819, 48, 12264, 101, 473, 8, 75078, 220, 15, 340, 39, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 39, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 83193, 39, 340, 15, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 39, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 83193, 39, 8], "tokenizer": "cl100k_base", "tokens_len": 539, "data_type": "boolean", "txt": "Original: ((H \u2227 0) \u2227 (H \u2228 Q)) \u2228 (\u00ac(\u00acH))\n\nOptions:\n(\u00ac(\u00acH)) \u2228 ((H \u2227 0) \u2227 (H \u2228 Q))\n((H \u2227 0) \u2227 (H \u2228 Q)) \u2228 H\n((H \u2228 Q) \u2227 (H \u2227 0)) \u2228 (\u00ac(\u00acH))\n(H \u2227 (0 \u2227 (H \u2228 Q))) \u2228 (\u00ac(\u00acH))\n(((H \u2227 0) \u2227 H) \u2228 ((H \u2227 0) \u2227 Q)) \u2228 (\u00ac(\u00acH))\n((H \u2227 0) \u2227 (Q \u2228 H)) \u2228 (\u00ac(\u00acH))\n(0 \u2227 (H \u2228 Q)) \u2228 (\u00ac(\u00acH))\n((0 \u2227 H) \u2227 (H \u2228 Q)) \u2228 (\u00ac(\u00acH))\nChosen: (0 \u2227 (H \u2228 Q)) \u2228 (\u00ac(\u00acH))\n\nOptions:\n(\u00ac(\u00acH)) \u2228 (0 \u2227 (H \u2228 Q))\n(0 \u2227 (H \u2228 Q)) \u2228 H\n0 \u2228 (\u00ac(\u00acH))\n((H \u2228 Q) \u2227 0) \u2228 (\u00ac(\u00acH))\n((0 \u2227 H) \u2228 (0 \u2227 Q)) \u2228 (\u00ac(\u00acH))\n(0 \u2227 (Q \u2228 H)) \u2228 (\u00ac(\u00acH))\nChosen: ((H \u2228 Q) \u2227 0) \u2228 (\u00ac(\u00acH))\n\nOptions:\n(\u00ac(\u00acH)) \u2228 ((H \u2228 Q) \u2227 0)\n((H \u2228 Q) \u2227 0) \u2228 H\n0 \u2228 (\u00ac(\u00acH))\n((Q \u2228 H) \u2227 0) \u2228 (\u00ac(\u00acH))\nChosen: (\u00ac(\u00acH)) \u2228 ((H \u2228 Q) \u2227 0)\n\nOptions:\n((\u00ac(\u00acH)) \u2228 (H \u2228 Q)) \u2227 ((\u00ac(\u00acH)) \u2228 0)\n(\u00ac(\u00acH)) \u2228 0\n(\u00ac(\u00acH)) \u2228 (0 \u2227 (H \u2228 Q))\n(\u00ac(\u00acH)) \u2228 ((Q \u2228 H) \u2227 0)\nH \u2228 ((H \u2228 Q) \u2227 0)\nChosen: (\u00ac(\u00acH)) \u2228 0\n\nOptions:\n\u00ac(\u00acH)\n0 \u2228 (\u00ac(\u00acH))\nH \u2228 0\nChosen: \u00ac(\u00acH)", "id": 1523}, {"char_len": 1407, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 4489, 3883, 512, 1209, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1209, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 320, 41, 12264, 101, 735, 595, 75078, 1819, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 320, 41, 75078, 622, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 41, 75078, 622, 8, 75078, 320, 41, 12264, 101, 735, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 11861, 41, 12264, 101, 735, 8, 75078, 622, 8, 75078, 622, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 622, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 4489, 3883, 512, 1209, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1209, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 320, 42, 12264, 101, 622, 595, 75078, 1819, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 320, 41, 75078, 622, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 41, 75078, 622, 8, 75078, 320, 42, 12264, 101, 622, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 11861, 42, 12264, 101, 622, 8, 75078, 622, 8, 75078, 622, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 4489, 3883, 512, 1209, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 595, 12264, 101, 320, 83193, 7, 42, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 320, 42, 12264, 101, 622, 595, 75078, 1819, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 320, 41, 75078, 622, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 41, 75078, 622, 8, 75078, 320, 42, 12264, 101, 622, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 11861, 42, 12264, 101, 622, 8, 75078, 622, 8, 75078, 622, 340, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 340, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 1192, 1209, 83193, 42, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 4489, 3883, 512, 1209, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 41, 75078, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 41, 75078, 622, 8, 75078, 320, 42, 12264, 101, 622, 1192, 7, 83193, 16, 8, 12264, 101, 11861, 42, 12264, 101, 622, 8, 75078, 622, 8, 75078, 622, 340, 7, 83193, 16, 8, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 340, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 320, 41, 75078, 622, 1192, 15, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 320, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 696, 3883, 512, 1209, 42, 12264, 101, 622, 8, 75078, 622, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 622, 340, 7, 83193, 16, 8, 12264, 101, 320, 41, 75078, 320, 42, 12264, 101, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 735, 8, 75078, 622, 340, 15, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 340, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 42, 12264, 101, 622, 8, 75078, 622, 8], "tokenizer": "cl100k_base", "tokens_len": 915, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 K)) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\n\nOptions:\n((J \u2228 K) \u2227 (J \u2227 J)) \u2228 (\u00ac(1 \u2228 K))\n((\u00ac(1 \u2228 K)) \u2228 (J \u2228 K)) \u2227 ((\u00ac(1 \u2228 K)) \u2228 (J \u2227 J))\n(\u00ac(1 \u2228 K)) \u2228 ((J \u2227 J) \u2227 (J \u2228 K))\n(\u00ac(1 \u2228 K)) \u2228 (((J \u2228 K) \u2227 J) \u2227 J)\n(\u00ac(1 \u2228 K)) \u2228 ((J \u2228 K) \u2227 J)\n(\u00ac(1 \u2228 K)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n((\u00ac1) \u2227 (\u00acK)) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\n(\u00ac1) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\n(\u00ac(K \u2228 1)) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\nChosen: (\u00ac(1 \u2228 K)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n\nOptions:\n((K \u2228 J) \u2227 (J \u2227 J)) \u2228 (\u00ac(1 \u2228 K))\n((\u00ac(1 \u2228 K)) \u2228 (K \u2228 J)) \u2227 ((\u00ac(1 \u2228 K)) \u2228 (J \u2227 J))\n(\u00ac(1 \u2228 K)) \u2228 ((J \u2227 J) \u2227 (K \u2228 J))\n(\u00ac(1 \u2228 K)) \u2228 (((K \u2228 J) \u2227 J) \u2227 J)\n(\u00ac(1 \u2228 K)) \u2228 ((K \u2228 J) \u2227 J)\n((\u00ac1) \u2227 (\u00acK)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n(\u00ac1) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n(\u00ac(K \u2228 1)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\nChosen: (\u00ac(K \u2228 1)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n\nOptions:\n((K \u2228 J) \u2227 (J \u2227 J)) \u2228 (\u00ac(K \u2228 1))\n((\u00ac(K \u2228 1)) \u2228 (K \u2228 J)) \u2227 ((\u00ac(K \u2228 1)) \u2228 (J \u2227 J))\n(\u00ac(K \u2228 1)) \u2228 ((J \u2227 J) \u2227 (K \u2228 J))\n(\u00ac(K \u2228 1)) \u2228 (((K \u2228 J) \u2227 J) \u2227 J)\n(\u00ac(K \u2228 1)) \u2228 ((K \u2228 J) \u2227 J)\n(\u00ac(K \u2228 1)) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\n((\u00acK) \u2227 (\u00ac1)) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n(\u00ac1) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\nChosen: (\u00ac1) \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\n\nOptions:\n((K \u2228 J) \u2227 (J \u2227 J)) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (K \u2228 J)) \u2227 ((\u00ac1) \u2228 (J \u2227 J))\n(\u00ac1) \u2228 ((J \u2227 J) \u2227 (K \u2228 J))\n(\u00ac1) \u2228 (((K \u2228 J) \u2227 J) \u2227 J)\n(\u00ac1) \u2228 ((K \u2228 J) \u2227 J)\n(\u00ac1) \u2228 ((J \u2228 K) \u2227 (J \u2227 J))\n0 \u2228 ((K \u2228 J) \u2227 (J \u2227 J))\nChosen: (\u00ac1) \u2228 ((K \u2228 J) \u2227 J)\n\nOptions:\n((K \u2228 J) \u2227 J) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (K \u2228 J)) \u2227 ((\u00ac1) \u2228 J)\n(\u00ac1) \u2228 (J \u2227 (K \u2228 J))\n(\u00ac1) \u2228 ((J \u2228 K) \u2227 J)\n0 \u2228 ((K \u2228 J) \u2227 J)\nChosen: 0 \u2228 ((K \u2228 J) \u2227 J)", "id": 1524}, {"char_len": 662, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 40, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 83193, 1209, 40, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 83193, 6774, 15, 12264, 101, 220, 15, 8, 75078, 358, 8, 75078, 220, 16, 340, 83193, 1209, 15, 12264, 101, 220, 15, 8, 75078, 358, 340, 83193, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 358, 1192, 83193, 7, 15, 75078, 320, 40, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 40, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 7, 40, 75078, 320, 16, 75078, 320, 15, 12264, 101, 220, 15, 6054, 83193, 6774, 40, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 40, 75078, 220, 16, 8, 75078, 220, 15, 1192, 83193, 1209, 40, 75078, 220, 16, 8, 75078, 220, 15, 340, 83193, 7, 40, 75078, 320, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 75078, 358, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 40, 75078, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 40, 75078, 220, 16, 1192, 83193, 7, 40, 75078, 320, 16, 75078, 220, 15, 1192, 83193, 7, 40, 75078, 220, 15, 340, 83193, 1209, 16, 75078, 358, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 7, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 40, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 40, 75078, 220, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 40, 75078, 220, 16, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 7, 83193, 40, 8, 12264, 101, 220, 16, 198, 7, 83193, 7, 16, 75078, 358, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 40, 8, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 448, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 0) \u2227 (I \u2227 1))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2228 (\u00ac(I \u2227 1))\n\u00ac((I \u2227 1) \u2227 (0 \u2228 0))\n\u00ac(((0 \u2228 0) \u2227 I) \u2227 1)\n\u00ac((0 \u2228 0) \u2227 I)\n\u00ac((0 \u2228 0) \u2227 (1 \u2227 I))\n\u00ac(0 \u2227 (I \u2227 1))\nChosen: \u00ac((I \u2227 1) \u2227 (0 \u2228 0))\n\nOptions:\n(\u00ac(I \u2227 1)) \u2228 (\u00ac(0 \u2228 0))\n\u00ac(I \u2227 (1 \u2227 (0 \u2228 0)))\n\u00ac(((I \u2227 1) \u2227 0) \u2228 ((I \u2227 1) \u2227 0))\n\u00ac((I \u2227 1) \u2227 0)\n\u00ac(I \u2227 (0 \u2228 0))\n\u00ac((1 \u2227 I) \u2227 (0 \u2228 0))\nChosen: \u00ac((I \u2227 1) \u2227 0)\n\nOptions:\n(\u00ac(I \u2227 1)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (I \u2227 1))\n\u00ac(I \u2227 (1 \u2227 0))\n\u00ac(I \u2227 0)\n\u00ac((1 \u2227 I) \u2227 0)\nChosen: (\u00ac(I \u2227 1)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(I \u2227 1))\n(\u00ac(I \u2227 1)) \u2228 1\n((\u00acI) \u2228 (\u00ac1)) \u2228 (\u00ac0)\n(\u00acI) \u2228 (\u00ac0)\n(\u00ac(1 \u2227 I)) \u2228 (\u00ac0)\nChosen: (\u00ac(I \u2227 1)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(I \u2227 1))\n((\u00acI) \u2228 (\u00ac1)) \u2228 1\n(\u00acI) \u2228 1\n(\u00ac(1 \u2227 I)) \u2228 1\nChosen: (\u00acI) \u2228 1", "id": 1525}, {"char_len": 232, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 83193, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 83193, 1209, 83193, 15, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 146, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 0) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (1 \u2228 0))\n\u00ac((1 \u2228 0) \u2227 1)\n\u00ac(1 \u2227 (\u00ac0))\n\u00ac((0 \u2228 1) \u2227 (\u00ac0))\nChosen: \u00ac(1 \u2227 (\u00ac0))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(\u00ac0))\n\u00ac(\u00ac0)\n\u00ac((\u00ac0) \u2227 1)\n\u00ac(1 \u2227 1)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1526}, {"char_len": 1173, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 83193, 16, 595, 75078, 320, 45, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 11861, 83193, 16, 8, 75078, 452, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 452, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 15, 75078, 320, 45, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 1192, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 4489, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 358, 6054, 1209, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 1192, 1209, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 40, 12264, 101, 220, 16, 1192, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 6774, 83193, 16, 8, 75078, 452, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1209, 83193, 16, 8, 75078, 320, 16, 12264, 101, 452, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 7, 15, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 45, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 45, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 6774, 83193, 16, 8, 75078, 452, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 16, 12264, 101, 452, 595, 75078, 320, 83193, 16, 340, 7, 15, 75078, 320, 45, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 220, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 15, 75078, 320, 83193, 16, 340, 7, 16, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 15, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 320, 16, 75078, 220, 15, 340, 15, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 779, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 I)) \u2227 ((\u00ac1) \u2227 (N \u2228 1))\n\nOptions:\n((\u00ac1) \u2227 (N \u2228 1)) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac(1 \u2228 I)) \u2227 (\u00ac1)) \u2227 (N \u2228 1)\n(\u00ac(1 \u2228 I)) \u2227 ((N \u2228 1) \u2227 (\u00ac1))\n(\u00ac(1 \u2228 I)) \u2227 (((\u00ac1) \u2227 N) \u2228 ((\u00ac1) \u2227 1))\n(\u00ac(1 \u2228 I)) \u2227 ((\u00ac1) \u2227 1)\n(\u00ac(1 \u2228 I)) \u2227 ((\u00ac1) \u2227 (1 \u2228 N))\n(\u00ac(1 \u2228 I)) \u2227 (0 \u2227 (N \u2228 1))\n((\u00ac1) \u2227 (\u00acI)) \u2227 ((\u00ac1) \u2227 (N \u2228 1))\n(\u00ac1) \u2227 ((\u00ac1) \u2227 (N \u2228 1))\n(\u00ac(I \u2228 1)) \u2227 ((\u00ac1) \u2227 (N \u2228 1))\nChosen: ((\u00ac1) \u2227 (N \u2228 1)) \u2227 (\u00ac(1 \u2228 I))\n\nOptions:\n(\u00ac1) \u2227 ((N \u2228 1) \u2227 (\u00ac(1 \u2228 I)))\n((\u00ac1) \u2227 (N \u2228 1)) \u2227 ((\u00ac1) \u2227 (\u00acI))\n((\u00ac1) \u2227 (N \u2228 1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (N \u2228 1)) \u2227 (\u00ac(I \u2228 1))\n((N \u2228 1) \u2227 (\u00ac1)) \u2227 (\u00ac(1 \u2228 I))\n(((\u00ac1) \u2227 N) \u2228 ((\u00ac1) \u2227 1)) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac1) \u2227 1) \u2227 (\u00ac(1 \u2228 I))\n((\u00ac1) \u2227 (1 \u2228 N)) \u2227 (\u00ac(1 \u2228 I))\n(0 \u2227 (N \u2228 1)) \u2227 (\u00ac(1 \u2228 I))\nChosen: ((\u00ac1) \u2227 (N \u2228 1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac1) \u2227 (N \u2228 1))\n(\u00ac1) \u2227 ((N \u2228 1) \u2227 (\u00ac1))\n((\u00ac1) \u2227 (N \u2228 1)) \u2227 0\n((N \u2228 1) \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(((\u00ac1) \u2227 N) \u2228 ((\u00ac1) \u2227 1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 1) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (1 \u2228 N)) \u2227 (\u00ac1)\n(0 \u2227 (N \u2228 1)) \u2227 (\u00ac1)\nChosen: ((\u00ac1) \u2227 1) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac1) \u2227 1)\n(\u00ac1) \u2227 (1 \u2227 (\u00ac1))\n((\u00ac1) \u2227 1) \u2227 0\n(\u00ac1) \u2227 (\u00ac1)\n0 \u2227 (\u00ac1)\n(1 \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(0 \u2227 1) \u2227 (\u00ac1)\nChosen: (\u00ac1) \u2227 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac1)\n(\u00ac1) \u2227 0\n(\u00ac1) \u2227 ((\u00ac1) \u2227 1)\n(\u00ac1) \u2227 (1 \u2227 0)\n0 \u2227 (1 \u2227 (\u00ac1))\nChosen: (\u00ac1) \u2227 0", "id": 1527}, {"char_len": 534, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 40, 75078, 358, 1192, 83193, 1209, 40, 75078, 358, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 358, 6054, 83193, 6774, 15, 12264, 101, 220, 15, 8, 12264, 101, 358, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 358, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 358, 340, 83193, 7, 15, 12264, 101, 320, 40, 75078, 358, 1192, 1163, 8477, 25, 97265, 1209, 40, 75078, 358, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 40, 75078, 358, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 6774, 40, 75078, 358, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 1209, 40, 75078, 358, 8, 12264, 101, 220, 15, 340, 83193, 7, 40, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 40, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 40, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 358, 340, 83193, 1209, 40, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 40, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 1209, 40, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 40, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 83193, 7, 40, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 40, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 358, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 40, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 40, 8, 75078, 320, 83193, 15, 340, 83193, 40, 198, 83193, 7, 15, 12264, 101, 358, 340, 1163, 8477, 25, 320, 83193, 40, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 359, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 0) \u2228 (I \u2227 I))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2227 (\u00ac(I \u2227 I))\n\u00ac((I \u2227 I) \u2228 (0 \u2228 0))\n\u00ac(0 \u2228 (0 \u2228 (I \u2227 I)))\n\u00ac(((0 \u2228 0) \u2228 I) \u2227 ((0 \u2228 0) \u2228 I))\n\u00ac((0 \u2228 0) \u2228 I)\n\u00ac(0 \u2228 (I \u2227 I))\nChosen: \u00ac((I \u2227 I) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(I \u2227 I)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac(((I \u2227 I) \u2228 0) \u2228 0)\n\u00ac((I \u2227 I) \u2228 0)\n\u00ac(I \u2228 (0 \u2228 0))\nChosen: \u00ac(I \u2228 (0 \u2228 0))\n\nOptions:\n(\u00acI) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 I)\n\u00ac((I \u2228 0) \u2228 0)\n\u00ac(I \u2228 0)\nChosen: \u00ac((I \u2228 0) \u2228 0)\n\nOptions:\n(\u00ac(I \u2228 0)) \u2227 (\u00ac0)\n\u00ac(I \u2228 0)\n\u00ac(0 \u2228 (I \u2228 0))\n\u00ac((0 \u2228 I) \u2228 0)\nChosen: \u00ac(I \u2228 0)\n\nOptions:\n(\u00acI) \u2227 (\u00ac0)\n\u00acI\n\u00ac(0 \u2228 I)\nChosen: (\u00acI) \u2227 (\u00ac0)", "id": 1528}, {"char_len": 1407, "tokens": [18902, 25, 1819, 33, 75078, 350, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 51, 12264, 101, 220, 15, 595, 12264, 101, 1819, 33, 75078, 350, 8, 12264, 101, 320, 16, 75078, 350, 1192, 5462, 75078, 350, 8, 12264, 101, 1819, 16, 75078, 350, 8, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 6054, 1209, 33, 75078, 350, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 320, 83193, 51, 340, 1209, 33, 75078, 350, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 350, 1192, 1209, 16, 75078, 350, 8, 12264, 101, 320, 33, 75078, 350, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 6774, 33, 75078, 350, 8, 12264, 101, 220, 16, 8, 75078, 1819, 33, 75078, 350, 8, 12264, 101, 350, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 320, 51, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1209, 51, 75078, 426, 8, 12264, 101, 320, 16, 75078, 350, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 51, 12264, 101, 220, 15, 595, 12264, 101, 1819, 33, 75078, 350, 8, 12264, 101, 350, 340, 5462, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 6054, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 340, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 350, 1192, 4233, 12264, 101, 320, 33, 75078, 350, 595, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1209, 51, 75078, 426, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 7, 51, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 51, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 33, 75078, 350, 8, 12264, 101, 350, 340, 5462, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 6054, 6774, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 51, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 16, 340, 4233, 12264, 101, 320, 33, 75078, 350, 595, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 1192, 1209, 51, 75078, 426, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 51, 8, 75078, 220, 16, 8, 12264, 101, 1819, 33, 75078, 350, 8, 12264, 101, 350, 340, 5462, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 16, 1192, 6774, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 220, 16, 340, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 340, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 16, 75078, 320, 83193, 51, 1192, 4233, 12264, 101, 320, 33, 75078, 350, 595, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 16, 340, 1209, 51, 75078, 426, 8, 12264, 101, 350, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 16, 75078, 320, 83193, 51, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 51, 595, 12264, 101, 1819, 33, 75078, 350, 8, 12264, 101, 350, 340, 5462, 75078, 350, 8, 12264, 101, 320, 51, 12264, 101, 320, 16, 75078, 320, 83193, 51, 6054, 6774, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 220, 16, 8, 75078, 11861, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 1192, 1209, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 340, 4233, 12264, 101, 320, 33, 75078, 350, 595, 12264, 101, 320, 16, 75078, 320, 83193, 51, 1192, 1209, 51, 75078, 426, 8, 12264, 101, 350, 8, 12264, 101, 320, 16, 75078, 320, 83193, 51, 1192, 1163, 8477, 25, 11861, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 220, 16, 8, 75078, 11861, 33, 75078, 350, 8, 12264, 101, 350, 8, 12264, 101, 320, 83193, 51, 595], "tokenizer": "cl100k_base", "tokens_len": 918, "data_type": "boolean", "txt": "Original: ((B \u2227 T) \u2228 (1 \u2227 T)) \u2228 (\u00ac(T \u2228 0))\n\nOptions:\n(\u00ac(T \u2228 0)) \u2228 ((B \u2227 T) \u2228 (1 \u2227 T))\n(B \u2227 T) \u2228 ((1 \u2227 T) \u2228 (\u00ac(T \u2228 0)))\n((B \u2227 T) \u2228 (1 \u2227 T)) \u2228 ((\u00acT) \u2227 (\u00ac0))\n((B \u2227 T) \u2228 (1 \u2227 T)) \u2228 (\u00acT)\n((B \u2227 T) \u2228 (1 \u2227 T)) \u2228 (\u00ac(0 \u2228 T))\n((1 \u2227 T) \u2228 (B \u2227 T)) \u2228 (\u00ac(T \u2228 0))\n(((B \u2227 T) \u2228 1) \u2227 ((B \u2227 T) \u2228 T)) \u2228 (\u00ac(T \u2228 0))\n((B \u2227 T) \u2228 T) \u2228 (\u00ac(T \u2228 0))\n((B \u2227 T) \u2228 (T \u2227 1)) \u2228 (\u00ac(T \u2228 0))\n((T \u2227 B) \u2228 (1 \u2227 T)) \u2228 (\u00ac(T \u2228 0))\nChosen: ((B \u2227 T) \u2228 T) \u2228 (\u00ac(T \u2228 0))\n\nOptions:\n(\u00ac(T \u2228 0)) \u2228 ((B \u2227 T) \u2228 T)\n(B \u2227 T) \u2228 (T \u2228 (\u00ac(T \u2228 0)))\n((B \u2227 T) \u2228 T) \u2228 ((\u00acT) \u2227 (\u00ac0))\n((B \u2227 T) \u2228 T) \u2228 (\u00acT)\n((B \u2227 T) \u2228 T) \u2228 (\u00ac(0 \u2228 T))\n(T \u2228 (B \u2227 T)) \u2228 (\u00ac(T \u2228 0))\n((T \u2227 B) \u2228 T) \u2228 (\u00ac(T \u2228 0))\nChosen: ((B \u2227 T) \u2228 T) \u2228 ((\u00acT) \u2227 (\u00ac0))\n\nOptions:\n((\u00acT) \u2227 (\u00ac0)) \u2228 ((B \u2227 T) \u2228 T)\n(B \u2227 T) \u2228 (T \u2228 ((\u00acT) \u2227 (\u00ac0)))\n(((B \u2227 T) \u2228 T) \u2228 (\u00acT)) \u2227 (((B \u2227 T) \u2228 T) \u2228 (\u00ac0))\n((B \u2227 T) \u2228 T) \u2228 ((\u00ac0) \u2227 (\u00acT))\n((B \u2227 T) \u2228 T) \u2228 ((\u00acT) \u2227 1)\n(T \u2228 (B \u2227 T)) \u2228 ((\u00acT) \u2227 (\u00ac0))\n((T \u2227 B) \u2228 T) \u2228 ((\u00acT) \u2227 (\u00ac0))\nChosen: ((B \u2227 T) \u2228 T) \u2228 ((\u00acT) \u2227 1)\n\nOptions:\n((\u00acT) \u2227 1) \u2228 ((B \u2227 T) \u2228 T)\n(B \u2227 T) \u2228 (T \u2228 ((\u00acT) \u2227 1))\n(((B \u2227 T) \u2228 T) \u2228 (\u00acT)) \u2227 (((B \u2227 T) \u2228 T) \u2228 1)\n((B \u2227 T) \u2228 T) \u2228 (\u00acT)\n((B \u2227 T) \u2228 T) \u2228 (1 \u2227 (\u00acT))\n(T \u2228 (B \u2227 T)) \u2228 ((\u00acT) \u2227 1)\n((T \u2227 B) \u2228 T) \u2228 ((\u00acT) \u2227 1)\nChosen: ((B \u2227 T) \u2228 T) \u2228 (1 \u2227 (\u00acT))\n\nOptions:\n(1 \u2227 (\u00acT)) \u2228 ((B \u2227 T) \u2228 T)\n(B \u2227 T) \u2228 (T \u2228 (1 \u2227 (\u00acT)))\n(((B \u2227 T) \u2228 T) \u2228 1) \u2227 (((B \u2227 T) \u2228 T) \u2228 (\u00acT))\n((B \u2227 T) \u2228 T) \u2228 (\u00acT)\n(T \u2228 (B \u2227 T)) \u2228 (1 \u2227 (\u00acT))\n((T \u2227 B) \u2228 T) \u2228 (1 \u2227 (\u00acT))\nChosen: (((B \u2227 T) \u2228 T) \u2228 1) \u2227 (((B \u2227 T) \u2228 T) \u2228 (\u00acT))", "id": 1529}, {"char_len": 2691, "tokens": [18902, 25, 1819, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 4489, 3883, 512, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 1192, 4444, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 362, 8, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 6054, 6774, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 12264, 101, 220, 15, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 53, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 650, 8, 12264, 101, 362, 340, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 12264, 101, 320, 15, 12264, 101, 320, 53, 12264, 101, 362, 6054, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 650, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 15, 12264, 101, 362, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 6774, 32, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 32, 12264, 101, 220, 15, 8, 75078, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 362, 8, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 1163, 8477, 25, 1819, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 1192, 4444, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 6054, 6774, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 53, 12264, 101, 362, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 11861, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 12264, 101, 220, 15, 340, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 53, 12264, 101, 320, 32, 12264, 101, 320, 32, 12264, 101, 220, 15, 6054, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 362, 340, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 15, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 650, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 32, 12264, 101, 220, 15, 8, 75078, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 32, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 32, 75078, 1819, 15, 12264, 101, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 6054, 1209, 32, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 53, 12264, 101, 362, 595, 12264, 101, 1819, 32, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 12264, 101, 220, 15, 1192, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 11861, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 12264, 101, 220, 15, 340, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 320, 53, 12264, 101, 320, 32, 12264, 101, 320, 32, 12264, 101, 220, 15, 6054, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 362, 340, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 15, 12264, 101, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 650, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 75078, 220, 15, 8, 12264, 101, 320, 32, 75078, 362, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 4444, 75078, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 4444, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 4489, 3883, 512, 6774, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 362, 8, 75078, 320, 15, 12264, 101, 362, 340, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 362, 8, 75078, 362, 340, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 1819, 32, 75078, 220, 15, 8, 12264, 101, 320, 32, 75078, 362, 1192, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 362, 340, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 320, 32, 12264, 101, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 595, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 6774, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 12692, 12264, 101, 320, 32, 12264, 101, 320, 32, 12264, 101, 220, 15, 7861, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 1209, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 650, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 320, 15, 12264, 101, 362, 1192, 1163, 8477, 25, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 362, 696, 3883, 512, 4444, 75078, 362, 8, 75078, 1819, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 6774, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 362, 8, 75078, 362, 198, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 362, 198, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 12264, 101, 362, 595, 75078, 320, 32, 75078, 362, 340, 6774, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 320, 32, 75078, 362, 340, 12692, 12264, 101, 320, 32, 12264, 101, 320, 32, 12264, 101, 220, 15, 7861, 75078, 320, 32, 75078, 362, 340, 1209, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 75078, 320, 32, 75078, 362, 340, 1209, 53, 12264, 101, 362, 8, 12264, 101, 320, 15, 12264, 101, 362, 595, 75078, 320, 32, 75078, 362, 340, 1209, 32, 12264, 101, 650, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 362, 340, 1163, 8477, 25, 1819, 53, 12264, 101, 362, 8, 12264, 101, 362, 8, 75078, 320, 32, 75078, 362, 8], "tokenizer": "cl100k_base", "tokens_len": 1825, "data_type": "boolean", "txt": "Original: ((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n\nOptions:\n((A \u2228 0) \u2228 (V \u2228 A)) \u2227 ((A \u2228 0) \u2227 (0 \u2228 A))\n(A \u2228 0) \u2227 ((0 \u2228 A) \u2227 ((A \u2228 0) \u2228 (V \u2228 A)))\n(((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (A \u2228 0)) \u2228 (((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (V \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (((A \u2228 0) \u2228 V) \u2228 A)\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (A \u2228 (0 \u2228 (V \u2228 A)))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((A \u2228 0) \u2228 (A \u2228 V))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (A \u2228 (V \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((0 \u2228 A) \u2228 (V \u2228 A))\n((0 \u2228 A) \u2227 (A \u2228 0)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n(((A \u2228 0) \u2227 0) \u2228 ((A \u2228 0) \u2227 A)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n((A \u2228 0) \u2227 A) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n((A \u2228 0) \u2227 (A \u2228 0)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n(A \u2227 (0 \u2228 A)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n((0 \u2228 A) \u2227 (0 \u2228 A)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\nChosen: ((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n\nOptions:\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 ((A \u2228 0) \u2227 (0 \u2228 A))\n(A \u2228 0) \u2227 ((0 \u2228 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0)))\n(((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (V \u2228 A)) \u2228 (((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (A \u2228 0))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (((V \u2228 A) \u2228 A) \u2228 0)\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 (V \u2228 (A \u2228 (A \u2228 0)))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 A)\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (0 \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 A)) \u2227 ((A \u2228 V) \u2228 (A \u2228 0))\n((0 \u2228 A) \u2227 (A \u2228 0)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n(((A \u2228 0) \u2227 0) \u2228 ((A \u2228 0) \u2227 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n((A \u2228 0) \u2227 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n((A \u2228 0) \u2227 (A \u2228 0)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n(A \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n((0 \u2228 A) \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\nChosen: (A \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n\nOptions:\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 (A \u2227 (0 \u2228 A))\nA \u2227 ((0 \u2228 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0)))\n((A \u2227 (0 \u2228 A)) \u2227 (V \u2228 A)) \u2228 ((A \u2227 (0 \u2228 A)) \u2227 (A \u2228 0))\n(A \u2227 (0 \u2228 A)) \u2227 ((A \u2228 0) \u2228 (V \u2228 A))\n(A \u2227 (0 \u2228 A)) \u2227 (((V \u2228 A) \u2228 A) \u2228 0)\n(A \u2227 (0 \u2228 A)) \u2227 (V \u2228 (A \u2228 (A \u2228 0)))\n(A \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 A)\n(A \u2227 (0 \u2228 A)) \u2227 ((V \u2228 A) \u2228 (0 \u2228 A))\n(A \u2227 (0 \u2228 A)) \u2227 ((A \u2228 V) \u2228 (A \u2228 0))\n((0 \u2228 A) \u2227 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n((A \u2227 0) \u2228 (A \u2227 A)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n(A \u2227 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n(A \u2227 (A \u2228 0)) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\nChosen: ((V \u2228 A) \u2228 (A \u2228 0)) \u2227 (A \u2227 (0 \u2228 A))\n\nOptions:\n(((V \u2228 A) \u2228 (A \u2228 0)) \u2227 A) \u2227 (0 \u2228 A)\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 ((0 \u2228 A) \u2227 A)\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 ((A \u2227 0) \u2228 (A \u2227 A))\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 (A \u2227 A)\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 (A \u2227 (A \u2228 0))\n((A \u2228 0) \u2228 (V \u2228 A)) \u2227 (A \u2227 (0 \u2228 A))\n(((V \u2228 A) \u2228 A) \u2228 0) \u2227 (A \u2227 (0 \u2228 A))\n(V \u2228 (A \u2228 (A \u2228 0))) \u2227 (A \u2227 (0 \u2228 A))\n((V \u2228 A) \u2228 A) \u2227 (A \u2227 (0 \u2228 A))\n((V \u2228 A) \u2228 (0 \u2228 A)) \u2227 (A \u2227 (0 \u2228 A))\n((A \u2228 V) \u2228 (A \u2228 0)) \u2227 (A \u2227 (0 \u2228 A))\nChosen: ((V \u2228 A) \u2228 (A \u2228 0)) \u2227 (A \u2227 A)\n\nOptions:\n(A \u2227 A) \u2227 ((V \u2228 A) \u2228 (A \u2228 0))\n(((V \u2228 A) \u2228 (A \u2228 0)) \u2227 A) \u2227 A\n((V \u2228 A) \u2228 (A \u2228 0)) \u2227 A\n((A \u2228 0) \u2228 (V \u2228 A)) \u2227 (A \u2227 A)\n(((V \u2228 A) \u2228 A) \u2228 0) \u2227 (A \u2227 A)\n(V \u2228 (A \u2228 (A \u2228 0))) \u2227 (A \u2227 A)\n((V \u2228 A) \u2228 A) \u2227 (A \u2227 A)\n((V \u2228 A) \u2228 (0 \u2228 A)) \u2227 (A \u2227 A)\n((A \u2228 V) \u2228 (A \u2228 0)) \u2227 (A \u2227 A)\nChosen: ((V \u2228 A) \u2228 A) \u2227 (A \u2227 A)", "id": 1530}, {"char_len": 538, "tokens": [18902, 25, 320, 83193, 7, 36, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 469, 1192, 1209, 83193, 7, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 36, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 36, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 36, 12264, 101, 469, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 36, 8, 75078, 320, 83193, 36, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 36, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 36, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 36, 340, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 36, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 36, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 36, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 36, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 36, 340, 1209, 83193, 36, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 36, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 36, 8, 12264, 101, 220, 16, 198, 7, 83193, 36, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 7, 83193, 36, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 36, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 36, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 379, "data_type": "boolean", "txt": "Original: (\u00ac(E \u2228 E)) \u2228 ((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac0)) \u2228 (\u00ac(E \u2228 E))\n((\u00ac(E \u2228 E)) \u2228 (\u00ac1)) \u2228 (\u00ac0)\n(\u00ac(E \u2228 E)) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n(\u00ac(E \u2228 E)) \u2228 ((\u00ac1) \u2228 1)\n(\u00ac(E \u2228 E)) \u2228 (0 \u2228 (\u00ac0))\n((\u00acE) \u2227 (\u00acE)) \u2228 ((\u00ac1) \u2228 (\u00ac0))\n(\u00acE) \u2228 ((\u00ac1) \u2228 (\u00ac0))\nChosen: (\u00acE) \u2228 ((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac0)) \u2228 (\u00acE)\n((\u00acE) \u2228 (\u00ac1)) \u2228 (\u00ac0)\n(\u00acE) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n(\u00acE) \u2228 ((\u00ac1) \u2228 1)\n(\u00acE) \u2228 (0 \u2228 (\u00ac0))\nChosen: (\u00acE) \u2228 (0 \u2228 (\u00ac0))\n\nOptions:\n(0 \u2228 (\u00ac0)) \u2228 (\u00acE)\n((\u00acE) \u2228 0) \u2228 (\u00ac0)\n(\u00acE) \u2228 (\u00ac0)\n(\u00acE) \u2228 1\n(\u00acE) \u2228 ((\u00ac0) \u2228 0)\n(\u00acE) \u2228 (0 \u2228 1)\nChosen: (\u00acE) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00acE)\nChosen: 1", "id": 1531}, {"char_len": 612, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 468, 595, 12264, 101, 320, 83193, 7, 33, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 320, 83193, 33, 340, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 426, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 7, 33, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 33, 12264, 101, 220, 15, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 33, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 4489, 3883, 512, 7, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 7, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 54, 75078, 220, 15, 1192, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 7, 83193, 33, 8, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 7, 83193, 7, 15, 12264, 101, 426, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1163, 8477, 25, 320, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 33, 12264, 101, 220, 15, 1192, 7, 83193, 7, 33, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 198, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 33, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 15, 12264, 101, 426, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 33, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 33, 340, 7, 83193, 33, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 33, 696, 3883, 512, 16, 12264, 101, 320, 83193, 33, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 33, 8], "tokenizer": "cl100k_base", "tokens_len": 424, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 W)) \u2228 (\u00ac(B \u2228 0))\n\nOptions:\n(\u00ac(B \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\n(\u00ac(0 \u2227 W)) \u2228 ((\u00acB) \u2227 (\u00ac0))\n(\u00ac(0 \u2227 W)) \u2228 (\u00acB)\n(\u00ac(0 \u2227 W)) \u2228 (\u00ac(0 \u2228 B))\n((\u00ac0) \u2228 (\u00acW)) \u2228 (\u00ac(B \u2228 0))\n(\u00ac0) \u2228 (\u00ac(B \u2228 0))\n(\u00ac(W \u2227 0)) \u2228 (\u00ac(B \u2228 0))\nChosen: (\u00ac(B \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\n\nOptions:\n(\u00ac(B \u2228 0)) \u2228 ((\u00ac0) \u2228 (\u00acW))\n(\u00ac(B \u2228 0)) \u2228 (\u00ac0)\n(\u00ac(B \u2228 0)) \u2228 (\u00ac(W \u2227 0))\n((\u00acB) \u2227 (\u00ac0)) \u2228 (\u00ac(0 \u2227 W))\n(\u00acB) \u2228 (\u00ac(0 \u2227 W))\n(\u00ac(0 \u2228 B)) \u2228 (\u00ac(0 \u2227 W))\nChosen: (\u00ac(B \u2228 0)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(B \u2228 0))\n(\u00ac(B \u2228 0)) \u2228 1\n((\u00acB) \u2227 (\u00ac0)) \u2228 (\u00ac0)\n(\u00acB) \u2228 (\u00ac0)\n(\u00ac(0 \u2228 B)) \u2228 (\u00ac0)\nChosen: (\u00acB) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00acB)\n(\u00acB) \u2228 1\nChosen: (\u00ac0) \u2228 (\u00acB)\n\nOptions:\n1 \u2228 (\u00acB)\nChosen: 1 \u2228 (\u00acB)", "id": 1532}, {"char_len": 76, "tokens": [18902, 25, 97265, 7, 83193, 7, 83193, 16, 4489, 3883, 512, 83193, 16, 198, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00ac1))\n\nOptions:\n\u00ac1\n\u00ac(\u00ac0)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1533}, {"char_len": 292, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 32, 12264, 101, 393, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 32, 12264, 101, 393, 1192, 83193, 1209, 32, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 83193, 6774, 15, 12264, 101, 220, 15, 8, 75078, 362, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 393, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 47, 12264, 101, 362, 1192, 83193, 7, 15, 75078, 320, 32, 12264, 101, 393, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 32, 12264, 101, 393, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 32, 12264, 101, 393, 1192, 83193, 15, 198, 83193, 1209, 32, 12264, 101, 393, 8, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 362, 8, 12264, 101, 320, 15, 75078, 393, 1192, 83193, 7, 15, 75078, 320, 47, 12264, 101, 362, 1192, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 182, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 0) \u2227 (A \u2228 P))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2228 (\u00ac(A \u2228 P))\n\u00ac((A \u2228 P) \u2227 (0 \u2228 0))\n\u00ac(((0 \u2228 0) \u2227 A) \u2228 ((0 \u2228 0) \u2227 P))\n\u00ac((0 \u2228 0) \u2227 (P \u2228 A))\n\u00ac(0 \u2227 (A \u2228 P))\nChosen: \u00ac(0 \u2227 (A \u2228 P))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(A \u2228 P))\n\u00ac0\n\u00ac((A \u2228 P) \u2227 0)\n\u00ac((0 \u2227 A) \u2228 (0 \u2227 P))\n\u00ac(0 \u2227 (P \u2228 A))\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1534}, {"char_len": 1914, "tokens": [18902, 25, 320, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 1630, 1192, 1209, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 320, 57, 75078, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 57, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 1901, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 320, 15, 12264, 101, 320, 57, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 55, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 15, 1192, 7, 83193, 55, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 15, 1192, 7, 83193, 7, 55, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 4489, 3883, 512, 6774, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 1630, 1192, 1209, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 52200, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 57, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 1630, 595, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 55, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 7, 55, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 4489, 3883, 512, 6774, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 55, 340, 1209, 83193, 55, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 52200, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 220, 15, 1192, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 55, 8, 75078, 1819, 57, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 4489, 3883, 512, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 595, 75078, 320, 83193, 55, 340, 1209, 83193, 55, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 340, 7, 83193, 55, 8, 75078, 52200, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1901, 1192, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 57, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 4489, 3883, 512, 1209, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 595, 75078, 320, 83193, 55, 340, 1209, 83193, 55, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 340, 7, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 55, 8, 75078, 11861, 15, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 320, 83193, 16, 595, 75078, 320, 57, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 7, 83193, 55, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 1901, 1192, 1163, 8477, 25, 320, 83193, 55, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 7861], "tokenizer": "cl100k_base", "tokens_len": 1271, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2228 X)) \u2227 ((\u00ac1) \u2228 (Z \u2227 0))\n\nOptions:\n((\u00ac1) \u2228 (Z \u2227 0)) \u2227 (\u00ac(0 \u2228 X))\n((\u00ac(0 \u2228 X)) \u2227 (\u00ac1)) \u2228 ((\u00ac(0 \u2228 X)) \u2227 (Z \u2227 0))\n(\u00ac(0 \u2228 X)) \u2227 ((Z \u2227 0) \u2228 (\u00ac1))\n(\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n(\u00ac(0 \u2228 X)) \u2227 ((\u00ac1) \u2228 0)\n(\u00ac(0 \u2228 X)) \u2227 ((\u00ac1) \u2228 (0 \u2227 Z))\n(\u00ac(0 \u2228 X)) \u2227 (0 \u2228 (Z \u2227 0))\n((\u00ac0) \u2227 (\u00acX)) \u2227 ((\u00ac1) \u2228 (Z \u2227 0))\n(\u00acX) \u2227 ((\u00ac1) \u2228 (Z \u2227 0))\n(\u00ac(X \u2228 0)) \u2227 ((\u00ac1) \u2228 (Z \u2227 0))\nChosen: (\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n\nOptions:\n(((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0)) \u2227 (\u00ac(0 \u2228 X))\n((\u00ac(0 \u2228 X)) \u2227 ((\u00ac1) \u2228 Z)) \u2227 ((\u00ac1) \u2228 0)\n(\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 Z))\n(\u00ac(0 \u2228 X)) \u2227 ((((\u00ac1) \u2228 Z) \u2227 (\u00ac1)) \u2228 (((\u00ac1) \u2228 Z) \u2227 0))\n(\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 Z) \u2227 (\u00ac1))\n(\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 (\u00ac1)))\n(\u00ac(0 \u2228 X)) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 0))\n(\u00ac(0 \u2228 X)) \u2227 ((Z \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 0))\n(\u00ac(0 \u2228 X)) \u2227 ((0 \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n((\u00ac0) \u2227 (\u00acX)) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n(\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n(\u00ac(X \u2228 0)) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\nChosen: (\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\n\nOptions:\n(((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 0)) \u2227 (\u00acX)\n((\u00acX) \u2227 ((\u00ac1) \u2228 Z)) \u2227 ((\u00ac1) \u2228 0)\n(\u00acX) \u2227 (((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 Z))\n(\u00acX) \u2227 ((((\u00ac1) \u2228 Z) \u2227 (\u00ac1)) \u2228 (((\u00ac1) \u2228 Z) \u2227 0))\n(\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 (\u00ac1))\n(\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 (\u00ac1)))\n(\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 0))\n(\u00acX) \u2227 ((Z \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 0))\n(\u00acX) \u2227 ((0 \u2228 Z) \u2227 ((\u00ac1) \u2228 0))\nChosen: (\u00acX) \u2227 (((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 Z))\n\nOptions:\n(((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 Z)) \u2227 (\u00acX)\n((\u00acX) \u2227 ((\u00ac1) \u2228 0)) \u2227 ((\u00ac1) \u2228 Z)\n(\u00acX) \u2227 ((((\u00ac1) \u2228 0) \u2227 (\u00ac1)) \u2228 (((\u00ac1) \u2228 0) \u2227 Z))\n(\u00acX) \u2227 (((\u00ac1) \u2228 0) \u2227 (Z \u2228 (\u00ac1)))\n(\u00acX) \u2227 (((\u00ac1) \u2228 0) \u2227 (0 \u2228 Z))\n(\u00acX) \u2227 ((\u00ac1) \u2227 ((\u00ac1) \u2228 Z))\n(\u00acX) \u2227 ((0 \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 Z))\n(\u00acX) \u2227 ((0 \u2228 0) \u2227 ((\u00ac1) \u2228 Z))\nChosen: (\u00acX) \u2227 ((0 \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 Z))\n\nOptions:\n((0 \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 Z)) \u2227 (\u00acX)\n((\u00acX) \u2227 (0 \u2228 (\u00ac1))) \u2227 ((\u00ac1) \u2228 Z)\n(\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 (\u00ac1)))\n(\u00acX) \u2227 (((0 \u2228 (\u00ac1)) \u2227 (\u00ac1)) \u2228 ((0 \u2228 (\u00ac1)) \u2227 Z))\n(\u00acX) \u2227 ((0 \u2228 (\u00ac1)) \u2227 (Z \u2228 (\u00ac1)))\n(\u00acX) \u2227 ((0 \u2228 (\u00ac1)) \u2227 (0 \u2228 Z))\n(\u00acX) \u2227 ((\u00ac1) \u2227 ((\u00ac1) \u2228 Z))\n(\u00acX) \u2227 ((0 \u2228 0) \u2227 ((\u00ac1) \u2228 Z))\nChosen: (\u00acX) \u2227 (((\u00ac1) \u2228 Z) \u2227 (0 \u2228 (\u00ac1)))", "id": 1535}, {"char_len": 2511, "tokens": [18902, 25, 1819, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 16, 75078, 423, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 75078, 423, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 1192, 6774, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 320, 16, 75078, 423, 595, 75078, 11861, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 423, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 320, 16, 75078, 320, 35, 75078, 320, 83193, 16, 6054, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 16, 75078, 423, 8, 75078, 220, 15, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 320, 35, 75078, 320, 83193, 16, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 432, 8, 75078, 320, 35, 12264, 101, 423, 595, 12264, 101, 1819, 16, 75078, 423, 8, 75078, 320, 83193, 16, 1192, 6774, 35, 12264, 101, 423, 8, 75078, 220, 15, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 432, 595, 12264, 101, 1819, 16, 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423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 16, 75078, 320, 83193, 16, 595, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 423, 340, 1209, 15, 12264, 101, 432, 8, 75078, 320, 35, 12264, 101, 423, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 6774, 35, 12264, 101, 423, 8, 75078, 220, 15, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 432, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 5549, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1163, 8477, 25, 1819, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 696, 3883, 512, 6774, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 6774, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 595, 75078, 11861, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 320, 35, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 423, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 75078, 320, 83193, 16, 595, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 423, 340, 1209, 49, 12264, 101, 220, 15, 8, 75078, 320, 35, 12264, 101, 423, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 6774, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 5549, 75078, 320, 49, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1163, 8477, 25, 1819, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 696, 3883, 512, 6774, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 8, 12264, 101, 1819, 35, 12264, 101, 423, 8, 75078, 432, 340, 6774, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 595, 75078, 11861, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 320, 35, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 423, 1192, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 320, 15, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 16, 595, 75078, 423, 340, 1209, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 423, 340, 2855, 75078, 320, 35, 12264, 101, 423, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 5549, 75078, 432, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 423, 340, 1163, 8477, 25, 1819, 35, 12264, 101, 423, 8, 75078, 432, 8, 12264, 101, 320, 15, 75078, 423, 8], "tokenizer": "cl100k_base", "tokens_len": 1615, "data_type": "boolean", "txt": "Original: ((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\n\nOptions:\n((1 \u2227 D) \u2227 (\u00ac1)) \u2228 ((D \u2228 D) \u2227 (0 \u2228 R))\n(((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (1 \u2227 D)) \u2227 (((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (\u00ac1))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (1 \u2227 (D \u2227 (\u00ac1)))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((1 \u2227 D) \u2227 0)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (D \u2227 (\u00ac1))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((D \u2227 1) \u2227 (\u00ac1))\n((0 \u2228 R) \u2227 (D \u2228 D)) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\n(((D \u2228 D) \u2227 0) \u2228 ((D \u2228 D) \u2227 R)) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\n((D \u2228 D) \u2227 R) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\n(D \u2227 (0 \u2228 R)) \u2228 ((1 \u2227 D) \u2227 (\u00ac1))\nChosen: ((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n\nOptions:\n((\u00ac1) \u2227 (1 \u2227 D)) \u2228 ((D \u2228 D) \u2227 (0 \u2228 R))\n(((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (\u00ac1)) \u2227 (((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (1 \u2227 D))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 (D \u2227 1))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (0 \u2227 (1 \u2227 D))\n((0 \u2228 R) \u2227 (D \u2228 D)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n(((D \u2228 D) \u2227 0) \u2228 ((D \u2228 D) \u2227 R)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n((D \u2228 D) \u2227 R) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n(D \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\nChosen: ((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n\nOptions:\n(((\u00ac1) \u2227 1) \u2227 D) \u2228 ((D \u2228 D) \u2227 (0 \u2228 R))\n(((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 1)) \u2227 (((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (D \u2227 ((\u00ac1) \u2227 1))\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((\u00ac1) \u2227 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 (0 \u2227 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((1 \u2227 (\u00ac1)) \u2227 D)\n((D \u2228 D) \u2227 (0 \u2228 R)) \u2228 ((0 \u2227 1) \u2227 D)\n((0 \u2228 R) \u2227 (D \u2228 D)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n(((D \u2228 D) \u2227 0) \u2228 ((D \u2228 D) \u2227 R)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n((D \u2228 D) \u2227 R) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n(D \u2227 (0 \u2228 R)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\nChosen: ((D \u2228 D) \u2227 (R \u2228 0)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n\nOptions:\n(((\u00ac1) \u2227 1) \u2227 D) \u2228 ((D \u2228 D) \u2227 (R \u2228 0))\n(((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((\u00ac1) \u2227 1)) \u2227 (((D \u2228 D) \u2227 (R \u2228 0)) \u2228 D)\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 (D \u2227 ((\u00ac1) \u2227 1))\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((\u00ac1) \u2227 D)\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 (0 \u2227 D)\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((1 \u2227 (\u00ac1)) \u2227 D)\n((D \u2228 D) \u2227 (R \u2228 0)) \u2228 ((0 \u2227 1) \u2227 D)\n((R \u2228 0) \u2227 (D \u2228 D)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n(((D \u2228 D) \u2227 R) \u2228 ((D \u2228 D) \u2227 0)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n((D \u2228 D) \u2227 R) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n(D \u2227 (R \u2228 0)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\nChosen: ((D \u2228 D) \u2227 R) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n\nOptions:\n(((\u00ac1) \u2227 1) \u2227 D) \u2228 ((D \u2228 D) \u2227 R)\n(((D \u2228 D) \u2227 R) \u2228 ((\u00ac1) \u2227 1)) \u2227 (((D \u2228 D) \u2227 R) \u2228 D)\n((D \u2228 D) \u2227 R) \u2228 (D \u2227 ((\u00ac1) \u2227 1))\n((D \u2228 D) \u2227 R) \u2228 ((\u00ac1) \u2227 (1 \u2227 D))\n((D \u2228 D) \u2227 R) \u2228 ((\u00ac1) \u2227 D)\n((D \u2228 D) \u2227 R) \u2228 (0 \u2227 D)\n((D \u2228 D) \u2227 R) \u2228 ((1 \u2227 (\u00ac1)) \u2227 D)\n((D \u2228 D) \u2227 R) \u2228 ((0 \u2227 1) \u2227 D)\n(R \u2227 (D \u2228 D)) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\n(D \u2227 R) \u2228 (((\u00ac1) \u2227 1) \u2227 D)\nChosen: ((D \u2228 D) \u2227 R) \u2228 (0 \u2227 D)", "id": 1536}, {"char_len": 834, "tokens": [18902, 25, 1819, 41, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 41, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 622, 595, 75078, 1819, 41, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 41, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 41, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 41, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 41, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 6774, 41, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 16772, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1209, 41, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1209, 41, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1209, 16, 12264, 101, 622, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 41, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 622, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 41, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 41, 340, 16, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 41, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 622, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 41, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 41, 340, 16, 75078, 320, 83193, 7, 41, 75078, 622, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 41, 696, 3883, 512, 7, 83193, 41, 8, 75078, 320, 16, 12264, 101, 220, 16, 340, 16, 75078, 320, 83193, 41, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 41, 696, 3883, 512, 83193, 41, 198, 7, 83193, 41, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 41, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 563, "data_type": "boolean", "txt": "Original: ((J \u2228 1) \u2228 (0 \u2228 1)) \u2227 (\u00ac(J \u2227 J))\n\nOptions:\n(\u00ac(J \u2227 J)) \u2227 ((J \u2228 1) \u2228 (0 \u2228 1))\n((J \u2228 1) \u2228 (0 \u2228 1)) \u2227 ((\u00acJ) \u2228 (\u00acJ))\n((J \u2228 1) \u2228 (0 \u2228 1)) \u2227 (\u00acJ)\n((0 \u2228 1) \u2228 (J \u2228 1)) \u2227 (\u00ac(J \u2227 J))\n(((J \u2228 1) \u2228 0) \u2228 1) \u2227 (\u00ac(J \u2227 J))\n(J \u2228 (1 \u2228 (0 \u2228 1))) \u2227 (\u00ac(J \u2227 J))\n((J \u2228 1) \u2228 1) \u2227 (\u00ac(J \u2227 J))\n((J \u2228 1) \u2228 (1 \u2228 0)) \u2227 (\u00ac(J \u2227 J))\n(1 \u2228 (0 \u2228 1)) \u2227 (\u00ac(J \u2227 J))\n((1 \u2228 J) \u2228 (0 \u2228 1)) \u2227 (\u00ac(J \u2227 J))\nChosen: (1 \u2228 (0 \u2228 1)) \u2227 (\u00ac(J \u2227 J))\n\nOptions:\n(\u00ac(J \u2227 J)) \u2227 (1 \u2228 (0 \u2228 1))\n(1 \u2228 (0 \u2228 1)) \u2227 ((\u00acJ) \u2228 (\u00acJ))\n(1 \u2228 (0 \u2228 1)) \u2227 (\u00acJ)\n1 \u2227 (\u00ac(J \u2227 J))\n((0 \u2228 1) \u2228 1) \u2227 (\u00ac(J \u2227 J))\n((1 \u2228 0) \u2228 1) \u2227 (\u00ac(J \u2227 J))\n(1 \u2228 1) \u2227 (\u00ac(J \u2227 J))\n(1 \u2228 (1 \u2228 0)) \u2227 (\u00ac(J \u2227 J))\nChosen: (1 \u2228 1) \u2227 (\u00ac(J \u2227 J))\n\nOptions:\n(\u00ac(J \u2227 J)) \u2227 (1 \u2228 1)\n(1 \u2228 1) \u2227 ((\u00acJ) \u2228 (\u00acJ))\n(1 \u2228 1) \u2227 (\u00acJ)\n1 \u2227 (\u00ac(J \u2227 J))\nChosen: (1 \u2228 1) \u2227 (\u00acJ)\n\nOptions:\n(\u00acJ) \u2227 (1 \u2228 1)\n1 \u2227 (\u00acJ)\nChosen: 1 \u2227 (\u00acJ)\n\nOptions:\n\u00acJ\n(\u00acJ) \u2227 1\nChosen: (\u00acJ) \u2227 1", "id": 1537}, {"char_len": 1066, "tokens": [18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 49, 75078, 432, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 6054, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 49, 340, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1163, 8477, 25, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 49, 75078, 432, 595, 12264, 101, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 49, 75078, 432, 6054, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 49, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 16, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 7, 16, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1209, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 432, 1192, 1163, 8477, 25, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 696, 3883, 512, 7, 83193, 49, 8, 12264, 101, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 49, 1192, 16, 12264, 101, 320, 83193, 49, 340, 7, 16, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 49, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 49, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 1209, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 1209, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 49, 696, 3883, 512, 16, 198, 7, 83193, 49, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 799, "data_type": "boolean", "txt": "Original: ((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 (\u00ac(R \u2227 R))\n\nOptions:\n(\u00ac(R \u2227 R)) \u2228 ((1 \u2228 0) \u2228 (0 \u2228 1))\n(1 \u2228 0) \u2228 ((0 \u2228 1) \u2228 (\u00ac(R \u2227 R)))\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 ((\u00acR) \u2228 (\u00acR))\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 (\u00acR)\n((0 \u2228 1) \u2228 (1 \u2228 0)) \u2228 (\u00ac(R \u2227 R))\n(((1 \u2228 0) \u2228 0) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n(1 \u2228 (0 \u2228 (0 \u2228 1))) \u2228 (\u00ac(R \u2227 R))\n((1 \u2228 0) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n((1 \u2228 0) \u2228 (1 \u2228 0)) \u2228 (\u00ac(R \u2227 R))\n(1 \u2228 (0 \u2228 1)) \u2228 (\u00ac(R \u2227 R))\n((0 \u2228 1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(R \u2227 R))\nChosen: (((1 \u2228 0) \u2228 0) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n\nOptions:\n(\u00ac(R \u2227 R)) \u2228 (((1 \u2228 0) \u2228 0) \u2228 1)\n((1 \u2228 0) \u2228 0) \u2228 (1 \u2228 (\u00ac(R \u2227 R)))\n(((1 \u2228 0) \u2228 0) \u2228 1) \u2228 ((\u00acR) \u2228 (\u00acR))\n(((1 \u2228 0) \u2228 0) \u2228 1) \u2228 (\u00acR)\n1 \u2228 (\u00ac(R \u2227 R))\n(1 \u2228 ((1 \u2228 0) \u2228 0)) \u2228 (\u00ac(R \u2227 R))\n((1 \u2228 0) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n((0 \u2228 (1 \u2228 0)) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n((1 \u2228 (0 \u2228 0)) \u2228 1) \u2228 (\u00ac(R \u2227 R))\n(((0 \u2228 1) \u2228 0) \u2228 1) \u2228 (\u00ac(R \u2227 R))\nChosen: (((1 \u2228 0) \u2228 0) \u2228 1) \u2228 (\u00acR)\n\nOptions:\n(\u00acR) \u2228 (((1 \u2228 0) \u2228 0) \u2228 1)\n((1 \u2228 0) \u2228 0) \u2228 (1 \u2228 (\u00acR))\n1 \u2228 (\u00acR)\n(1 \u2228 ((1 \u2228 0) \u2228 0)) \u2228 (\u00acR)\n((1 \u2228 0) \u2228 (0 \u2228 1)) \u2228 (\u00acR)\n((1 \u2228 0) \u2228 1) \u2228 (\u00acR)\n((0 \u2228 (1 \u2228 0)) \u2228 1) \u2228 (\u00acR)\n((1 \u2228 (0 \u2228 0)) \u2228 1) \u2228 (\u00acR)\n(((0 \u2228 1) \u2228 0) \u2228 1) \u2228 (\u00acR)\nChosen: 1 \u2228 (\u00acR)\n\nOptions:\n1\n(\u00acR) \u2228 1\nChosen: 1", "id": 1538}, {"char_len": 1017, "tokens": [18902, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 41, 12264, 101, 432, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 41, 12264, 101, 432, 595, 75078, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 41, 12264, 101, 432, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 11861, 41, 12264, 101, 432, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 320, 15, 75078, 220, 16, 1192, 15, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 696, 3883, 512, 1209, 41, 12264, 101, 432, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 41, 12264, 101, 432, 595, 75078, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 75078, 320, 41, 12264, 101, 432, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 340, 15, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 696, 3883, 512, 1209, 49, 12264, 101, 622, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 49, 12264, 101, 622, 595, 75078, 1819, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 75078, 320, 49, 12264, 101, 622, 1192, 15, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 696, 3883, 512, 1209, 49, 12264, 101, 622, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 49, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 7, 83193, 16, 8, 12264, 101, 320, 15, 75078, 320, 49, 12264, 101, 622, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 340, 15, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 696, 3883, 512, 1209, 41, 12264, 101, 432, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 41, 12264, 101, 432, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 7, 83193, 16, 8, 12264, 101, 320, 15, 75078, 320, 41, 12264, 101, 432, 1192, 15, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 340, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 41, 12264, 101, 432, 8, 75078, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 704, "data_type": "boolean", "txt": "Original: (\u00ac(\u00ac0)) \u2228 ((J \u2228 R) \u2227 (0 \u2227 1))\n\nOptions:\n((J \u2228 R) \u2227 (0 \u2227 1)) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (J \u2228 R)) \u2227 ((\u00ac(\u00ac0)) \u2228 (0 \u2227 1))\n(\u00ac(\u00ac0)) \u2228 ((0 \u2227 1) \u2227 (J \u2228 R))\n(\u00ac(\u00ac0)) \u2228 (((J \u2228 R) \u2227 0) \u2227 1)\n(\u00ac(\u00ac0)) \u2228 ((J \u2228 R) \u2227 0)\n(\u00ac(\u00ac0)) \u2228 ((J \u2228 R) \u2227 (1 \u2227 0))\n(\u00ac(\u00ac0)) \u2228 ((R \u2228 J) \u2227 (0 \u2227 1))\n0 \u2228 ((J \u2228 R) \u2227 (0 \u2227 1))\n(\u00ac1) \u2228 ((J \u2228 R) \u2227 (0 \u2227 1))\nChosen: (\u00ac(\u00ac0)) \u2228 ((J \u2228 R) \u2227 0)\n\nOptions:\n((J \u2228 R) \u2227 0) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (J \u2228 R)) \u2227 ((\u00ac(\u00ac0)) \u2228 0)\n(\u00ac(\u00ac0)) \u2228 0\n(\u00ac(\u00ac0)) \u2228 (0 \u2227 (J \u2228 R))\n(\u00ac(\u00ac0)) \u2228 ((R \u2228 J) \u2227 0)\n0 \u2228 ((J \u2228 R) \u2227 0)\n(\u00ac1) \u2228 ((J \u2228 R) \u2227 0)\nChosen: (\u00ac(\u00ac0)) \u2228 ((R \u2228 J) \u2227 0)\n\nOptions:\n((R \u2228 J) \u2227 0) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (R \u2228 J)) \u2227 ((\u00ac(\u00ac0)) \u2228 0)\n(\u00ac(\u00ac0)) \u2228 0\n(\u00ac(\u00ac0)) \u2228 (0 \u2227 (R \u2228 J))\n0 \u2228 ((R \u2228 J) \u2227 0)\n(\u00ac1) \u2228 ((R \u2228 J) \u2227 0)\nChosen: (\u00ac1) \u2228 ((R \u2228 J) \u2227 0)\n\nOptions:\n((R \u2228 J) \u2227 0) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (R \u2228 J)) \u2227 ((\u00ac1) \u2228 0)\n(\u00ac1) \u2228 0\n(\u00ac1) \u2228 (0 \u2227 (R \u2228 J))\n(\u00ac1) \u2228 ((J \u2228 R) \u2227 0)\n0 \u2228 ((R \u2228 J) \u2227 0)\nChosen: (\u00ac1) \u2228 ((J \u2228 R) \u2227 0)\n\nOptions:\n((J \u2228 R) \u2227 0) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (J \u2228 R)) \u2227 ((\u00ac1) \u2228 0)\n(\u00ac1) \u2228 0\n(\u00ac1) \u2228 (0 \u2227 (J \u2228 R))\n0 \u2228 ((J \u2228 R) \u2227 0)\nChosen: 0 \u2228 ((J \u2228 R) \u2227 0)", "id": 1539}, {"char_len": 1237, "tokens": [18902, 25, 1819, 16, 12264, 101, 445, 8, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 445, 8, 12264, 101, 320, 50, 75078, 220, 15, 1192, 7, 16, 12264, 101, 445, 8, 12264, 101, 1819, 50, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1209, 16, 12264, 101, 445, 8, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 445, 8, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 445, 8, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 50, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 445, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 320, 43, 12264, 101, 320, 50, 75078, 220, 15, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 16, 12264, 101, 445, 8, 12264, 101, 328, 8, 75078, 1819, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 445, 8, 12264, 101, 320, 15, 75078, 328, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 43, 12264, 101, 220, 16, 8, 12264, 101, 320, 50, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 340, 7, 16, 12264, 101, 445, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1209, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 445, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 445, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 43, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 445, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 445, 340, 16, 12264, 101, 320, 43, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 7, 16, 12264, 101, 445, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 16, 12264, 101, 445, 8, 12264, 101, 320, 83193, 16, 340, 7, 16, 12264, 101, 445, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 16, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 5063, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 43, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 19789, 3883, 512, 16, 198, 5063, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 445, 340, 16, 12264, 101, 320, 43, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 6054, 16, 12264, 101, 320, 43, 12264, 101, 320, 83193, 16, 1192, 16, 12264, 101, 320, 43, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 320, 43, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 43, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 445, 8, 12264, 101, 220, 16, 198, 5063, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 7861, 12264, 101, 220, 16, 198, 5063, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 5063, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 12264, 101, 220, 16, 198, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 445, 8, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 913, "data_type": "boolean", "txt": "Original: ((1 \u2228 L) \u2228 (S \u2227 0)) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 ((1 \u2228 L) \u2228 (S \u2227 0))\n(1 \u2228 L) \u2228 ((S \u2227 0) \u2228 (\u00ac(1 \u2228 0)))\n((1 \u2228 L) \u2228 (S \u2227 0)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((1 \u2228 L) \u2228 (S \u2227 0)) \u2228 (\u00ac1)\n((1 \u2228 L) \u2228 (S \u2227 0)) \u2228 (\u00ac(0 \u2228 1))\n((S \u2227 0) \u2228 (1 \u2228 L)) \u2228 (\u00ac(1 \u2228 0))\n(1 \u2228 (L \u2228 (S \u2227 0))) \u2228 (\u00ac(1 \u2228 0))\n(((1 \u2228 L) \u2228 S) \u2227 ((1 \u2228 L) \u2228 0)) \u2228 (\u00ac(1 \u2228 0))\n((1 \u2228 L) \u2228 0) \u2228 (\u00ac(1 \u2228 0))\n((1 \u2228 L) \u2228 (0 \u2227 S)) \u2228 (\u00ac(1 \u2228 0))\n(1 \u2228 (S \u2227 0)) \u2228 (\u00ac(1 \u2228 0))\n((L \u2228 1) \u2228 (S \u2227 0)) \u2228 (\u00ac(1 \u2228 0))\nChosen: ((1 \u2228 L) \u2228 0) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 ((1 \u2228 L) \u2228 0)\n(1 \u2228 L) \u2228 (0 \u2228 (\u00ac(1 \u2228 0)))\n((1 \u2228 L) \u2228 0) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((1 \u2228 L) \u2228 0) \u2228 (\u00ac1)\n((1 \u2228 L) \u2228 0) \u2228 (\u00ac(0 \u2228 1))\n(1 \u2228 L) \u2228 (\u00ac(1 \u2228 0))\n(0 \u2228 (1 \u2228 L)) \u2228 (\u00ac(1 \u2228 0))\n(1 \u2228 (L \u2228 0)) \u2228 (\u00ac(1 \u2228 0))\n(1 \u2228 0) \u2228 (\u00ac(1 \u2228 0))\n((L \u2228 1) \u2228 0) \u2228 (\u00ac(1 \u2228 0))\nChosen: (1 \u2228 L) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (1 \u2228 L)\n1 \u2228 (L \u2228 (\u00ac(1 \u2228 0)))\n(1 \u2228 L) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n(1 \u2228 L) \u2228 (\u00ac1)\n(1 \u2228 L) \u2228 (\u00ac(0 \u2228 1))\n1 \u2228 (\u00ac(1 \u2228 0))\n(L \u2228 1) \u2228 (\u00ac(1 \u2228 0))\nChosen: 1 \u2228 (L \u2228 (\u00ac(1 \u2228 0)))\n\nOptions:\n1\n(L \u2228 (\u00ac(1 \u2228 0))) \u2228 1\n1 \u2228 ((\u00ac(1 \u2228 0)) \u2228 L)\n1 \u2228 (L \u2228 ((\u00ac1) \u2227 (\u00ac0)))\n1 \u2228 (L \u2228 (\u00ac1))\n1 \u2228 (L \u2228 (\u00ac(0 \u2228 1)))\nChosen: (L \u2228 (\u00ac(1 \u2228 0))) \u2228 1\n\nOptions:\n1\nL \u2228 ((\u00ac(1 \u2228 0)) \u2228 1)\n((\u00ac(1 \u2228 0)) \u2228 L) \u2228 1\n(L \u2228 ((\u00ac1) \u2227 (\u00ac0))) \u2228 1\n(L \u2228 (\u00ac1)) \u2228 1\n(L \u2228 (\u00ac(0 \u2228 1))) \u2228 1\nChosen: ((\u00ac(1 \u2228 0)) \u2228 L) \u2228 1", "id": 1540}, {"char_len": 609, "tokens": [18902, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 42, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 1192, 15, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 42, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 42, 340, 15, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 1192, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 42, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 340, 15, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 42, 1192, 7, 15, 12264, 101, 320, 83193, 42, 595, 12264, 101, 220, 16, 198, 7, 83193, 42, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 340, 7, 83193, 15, 8, 12264, 101, 320, 83193, 42, 340, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 340, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 42, 8], "tokenizer": "cl100k_base", "tokens_len": 427, "data_type": "boolean", "txt": "Original: (\u00ac(\u00ac0)) \u2228 ((\u00ac0) \u2228 (\u00acK))\n\nOptions:\n((\u00ac0) \u2228 (\u00acK)) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (\u00ac0)) \u2228 (\u00acK)\n(\u00ac(\u00ac0)) \u2228 ((\u00acK) \u2228 (\u00ac0))\n(\u00ac(\u00ac0)) \u2228 (1 \u2228 (\u00acK))\n0 \u2228 ((\u00ac0) \u2228 (\u00acK))\n(\u00ac1) \u2228 ((\u00ac0) \u2228 (\u00acK))\nChosen: 0 \u2228 ((\u00ac0) \u2228 (\u00acK))\n\nOptions:\n(\u00ac0) \u2228 (\u00acK)\n((\u00ac0) \u2228 (\u00acK)) \u2228 0\n(0 \u2228 (\u00ac0)) \u2228 (\u00acK)\n0 \u2228 ((\u00acK) \u2228 (\u00ac0))\n0 \u2228 (1 \u2228 (\u00acK))\nChosen: 0 \u2228 ((\u00acK) \u2228 (\u00ac0))\n\nOptions:\n(\u00acK) \u2228 (\u00ac0)\n((\u00acK) \u2228 (\u00ac0)) \u2228 0\n(0 \u2228 (\u00acK)) \u2228 (\u00ac0)\n0 \u2228 ((\u00acK) \u2228 1)\nChosen: (0 \u2228 (\u00acK)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (0 \u2228 (\u00acK))\n(0 \u2228 (\u00acK)) \u2228 1\n(\u00acK) \u2228 (\u00ac0)\n((\u00acK) \u2228 0) \u2228 (\u00ac0)\nChosen: (\u00ac0) \u2228 (0 \u2228 (\u00acK))\n\nOptions:\n((\u00ac0) \u2228 0) \u2228 (\u00acK)\n(\u00ac0) \u2228 (\u00acK)\n(\u00ac0) \u2228 ((\u00acK) \u2228 0)\n1 \u2228 (0 \u2228 (\u00acK))\nChosen: (\u00ac0) \u2228 (\u00acK)", "id": 1541}, {"char_len": 265, "tokens": [18902, 25, 320, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 7, 16, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 7, 48, 12264, 101, 220, 16, 1192, 44, 75078, 320, 83193, 7, 16, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 75078, 220, 15, 198, 44, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 7, 83193, 44, 1192, 44, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 165, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acM)) \u2227 (\u00ac(1 \u2228 Q))\n\nOptions:\n(\u00ac(1 \u2228 Q)) \u2227 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2227 ((\u00ac1) \u2227 (\u00acQ))\n(\u00ac(\u00acM)) \u2227 (\u00ac1)\n(\u00ac(\u00acM)) \u2227 (\u00ac(Q \u2228 1))\nM \u2227 (\u00ac(1 \u2228 Q))\nChosen: (\u00ac(\u00acM)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2227 0\nM \u2227 (\u00ac1)\nChosen: (\u00ac(\u00acM)) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00ac(\u00acM))\nM \u2227 0\nChosen: 0", "id": 1542}, {"char_len": 373, "tokens": [18902, 25, 97265, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 83193, 7, 15, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 6054, 83193, 6774, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 16, 1192, 83193, 1209, 15, 75078, 220, 15, 8, 75078, 220, 16, 340, 83193, 1209, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 15, 75078, 220, 15, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 15, 75078, 220, 15, 340, 83193, 7, 16, 75078, 320, 15, 75078, 220, 15, 1192, 83193, 7, 15, 75078, 320, 15, 75078, 220, 16, 1192, 83193, 7, 15, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 220, 16, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 16, 340, 83193, 15, 198, 83193, 7, 16, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 238, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2227 0) \u2227 (0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2228 (\u00ac(0 \u2228 1))\n\u00ac((0 \u2228 1) \u2227 (0 \u2227 0))\n\u00ac(0 \u2227 (0 \u2227 (0 \u2228 1)))\n\u00ac(((0 \u2227 0) \u2227 0) \u2228 ((0 \u2227 0) \u2227 1))\n\u00ac((0 \u2227 0) \u2227 1)\n\u00ac((0 \u2227 0) \u2227 (1 \u2228 0))\n\u00ac(0 \u2227 (0 \u2228 1))\nChosen: \u00ac((0 \u2227 0) \u2227 1)\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2228 (\u00ac1)\n\u00ac(0 \u2227 0)\n\u00ac(1 \u2227 (0 \u2227 0))\n\u00ac(0 \u2227 (0 \u2227 1))\n\u00ac(0 \u2227 1)\nChosen: \u00ac(0 \u2227 1)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac1)\n\u00ac0\n\u00ac(1 \u2227 0)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1543}, {"char_len": 2751, "tokens": [18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 40, 75078, 358, 340, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 56, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 40, 75078, 358, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 358, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 358, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 358, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 56, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 1192, 7, 15, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 358, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 4489, 3883, 512, 7, 16, 12264, 101, 320, 40, 75078, 358, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 40, 75078, 358, 340, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 56, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 40, 75078, 358, 8, 12264, 101, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 358, 340, 1209, 56, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 7, 15, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 40, 75078, 358, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 4489, 3883, 512, 1209, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 1192, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 56, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 6054, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 358, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 11861, 16, 12264, 101, 358, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 40, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 40, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 56, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 7, 15, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 696, 3883, 512, 1209, 16, 12264, 101, 358, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 1192, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 56, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 358, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 358, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 40, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1209, 56, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 56, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 696, 3883, 512, 1209, 16, 12264, 101, 358, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 1192, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 816, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 12264, 101, 358, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 12264, 101, 358, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 40, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1209, 16, 75078, 816, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 816, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 816, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 816, 595, 12264, 101, 320, 16, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1896, "data_type": "boolean", "txt": "Original: ((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\n\nOptions:\n((1 \u2228 0) \u2228 (I \u2227 I)) \u2228 ((0 \u2227 0) \u2228 (Y \u2227 1))\n(((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 0)) \u2228 (I \u2227 I)\n(0 \u2227 0) \u2228 ((Y \u2227 1) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I)))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((I \u2227 I) \u2228 (1 \u2228 0))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 (0 \u2228 (I \u2227 I)))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (((1 \u2228 0) \u2228 I) \u2227 ((1 \u2228 0) \u2228 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 0) \u2228 I)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 (I \u2227 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((0 \u2228 1) \u2228 (I \u2227 I))\n((Y \u2227 1) \u2228 (0 \u2227 0)) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\n(((0 \u2227 0) \u2228 Y) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\n((0 \u2227 0) \u2228 Y) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\n(0 \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 0) \u2228 (I \u2227 I))\nChosen: ((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 (I \u2227 I))\n\nOptions:\n(1 \u2228 (I \u2227 I)) \u2228 ((0 \u2227 0) \u2228 (Y \u2227 1))\n(((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 1) \u2228 (I \u2227 I)\n(0 \u2227 0) \u2228 ((Y \u2227 1) \u2228 (1 \u2228 (I \u2227 I)))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 1\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((I \u2227 I) \u2228 1)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 I)\n((Y \u2227 1) \u2228 (0 \u2227 0)) \u2228 (1 \u2228 (I \u2227 I))\n(((0 \u2227 0) \u2228 Y) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (1 \u2228 (I \u2227 I))\n((0 \u2227 0) \u2228 Y) \u2228 (1 \u2228 (I \u2227 I))\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2228 (I \u2227 I))\n(0 \u2228 (Y \u2227 1)) \u2228 (1 \u2228 (I \u2227 I))\nChosen: ((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n\nOptions:\n((1 \u2228 I) \u2227 (1 \u2228 I)) \u2228 ((0 \u2227 0) \u2228 (Y \u2227 1))\n(0 \u2227 0) \u2228 ((Y \u2227 1) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I)))\n(((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 I)) \u2227 (((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (((1 \u2228 I) \u2227 1) \u2228 ((1 \u2228 I) \u2227 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 1)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 (I \u2228 1))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((I \u2228 1) \u2227 (1 \u2228 I))\n((Y \u2227 1) \u2228 (0 \u2227 0)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n(((0 \u2227 0) \u2228 Y) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 Y) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\n(0 \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 (1 \u2228 I))\nChosen: ((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 1)\n\nOptions:\n((1 \u2228 I) \u2227 1) \u2228 ((0 \u2227 0) \u2228 (Y \u2227 1))\n(0 \u2227 0) \u2228 ((Y \u2227 1) \u2228 ((1 \u2228 I) \u2227 1))\n(((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 I)) \u2227 (((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 1)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2228 I)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 (1 \u2227 1)\n((0 \u2227 0) \u2228 (Y \u2227 1)) \u2228 ((I \u2228 1) \u2227 1)\n((Y \u2227 1) \u2228 (0 \u2227 0)) \u2228 ((1 \u2228 I) \u2227 1)\n(((0 \u2227 0) \u2228 Y) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 ((1 \u2228 I) \u2227 1)\n((0 \u2227 0) \u2228 Y) \u2228 ((1 \u2228 I) \u2227 1)\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 ((1 \u2228 I) \u2227 1)\n(0 \u2228 (Y \u2227 1)) \u2228 ((1 \u2228 I) \u2227 1)\nChosen: ((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 ((1 \u2228 I) \u2227 1)\n\nOptions:\n((1 \u2228 I) \u2227 1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 Y))\n(0 \u2227 0) \u2228 ((1 \u2227 Y) \u2228 ((1 \u2228 I) \u2227 1))\n(((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2228 I)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 1)\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2228 I)\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2227 (1 \u2228 I))\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2227 1)\n((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 ((I \u2228 1) \u2227 1)\n((1 \u2227 Y) \u2228 (0 \u2227 0)) \u2228 ((1 \u2228 I) \u2227 1)\n(((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 Y)) \u2228 ((1 \u2228 I) \u2227 1)\n((0 \u2227 0) \u2228 Y) \u2228 ((1 \u2228 I) \u2227 1)\n(0 \u2228 (1 \u2227 Y)) \u2228 ((1 \u2228 I) \u2227 1)\nChosen: ((0 \u2227 0) \u2228 (1 \u2227 Y)) \u2228 (1 \u2227 1)", "id": 1544}, {"char_len": 1386, "tokens": [18902, 25, 1819, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 1192, 1209, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1209, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 1209, 32, 75078, 220, 15, 8, 75078, 320, 43, 12264, 101, 362, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 43, 12264, 101, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 43, 12264, 101, 362, 8, 75078, 320, 15, 75078, 362, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 445, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 340, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 32, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 15, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 7, 15, 75078, 1819, 43, 12264, 101, 362, 8, 75078, 362, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 32, 75078, 320, 43, 12264, 101, 362, 595, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 445, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 75078, 362, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 340, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 32, 1192, 6774, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 15, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 7, 15, 75078, 1819, 43, 12264, 101, 362, 8, 75078, 362, 595, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 1209, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 1209, 32, 75078, 320, 43, 12264, 101, 362, 595, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 6774, 32, 12264, 101, 445, 8, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 362, 595, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 7, 15, 75078, 362, 595, 12264, 101, 1819, 43, 12264, 101, 362, 8, 75078, 362, 595, 75078, 1819, 83193, 7, 15, 75078, 362, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 320, 15, 75078, 1819, 43, 12264, 101, 362, 8, 75078, 362, 1192, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 1819, 43, 12264, 101, 362, 8, 75078, 320, 32, 75078, 220, 15, 1192, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 1819, 32, 75078, 320, 43, 12264, 101, 362, 595, 75078, 220, 15, 340, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 11861, 32, 12264, 101, 445, 8, 75078, 362, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 32, 595, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 340, 7, 83193, 15, 8, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 340, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 11861, 43, 12264, 101, 362, 8, 75078, 362, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 362, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 15, 75078, 362, 340, 15, 12264, 101, 320, 83193, 7, 15, 75078, 362, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 32, 595, 12264, 101, 220, 15, 198, 7, 83193, 15, 8, 12264, 101, 220, 15, 198, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 15, 75078, 362, 8], "tokenizer": "cl100k_base", "tokens_len": 916, "data_type": "boolean", "txt": "Original: ((L \u2228 A) \u2227 (A \u2227 0)) \u2228 (\u00ac(A \u2227 0))\n\nOptions:\n(\u00ac(A \u2227 0)) \u2228 ((L \u2228 A) \u2227 (A \u2227 0))\n((L \u2228 A) \u2227 (A \u2227 0)) \u2228 ((\u00acA) \u2228 (\u00ac0))\n((L \u2228 A) \u2227 (A \u2227 0)) \u2228 (\u00ac0)\n((L \u2228 A) \u2227 (A \u2227 0)) \u2228 (\u00ac(0 \u2227 A))\n((A \u2227 0) \u2227 (L \u2228 A)) \u2228 (\u00ac(A \u2227 0))\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac(A \u2227 0))\n((L \u2228 A) \u2227 0) \u2228 (\u00ac(A \u2227 0))\n((L \u2228 A) \u2227 (0 \u2227 A)) \u2228 (\u00ac(A \u2227 0))\n((A \u2228 L) \u2227 (A \u2227 0)) \u2228 (\u00ac(A \u2227 0))\nChosen: (((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac(A \u2227 0))\n\nOptions:\n(\u00ac(A \u2227 0)) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 ((\u00acA) \u2228 (\u00ac0))\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac0)\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac(0 \u2227 A))\n0 \u2228 (\u00ac(A \u2227 0))\n(0 \u2227 ((L \u2228 A) \u2227 A)) \u2228 (\u00ac(A \u2227 0))\n((A \u2227 (L \u2228 A)) \u2227 0) \u2228 (\u00ac(A \u2227 0))\n(((A \u2228 L) \u2227 A) \u2227 0) \u2228 (\u00ac(A \u2227 0))\nChosen: (((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac(0 \u2227 A))\n\nOptions:\n(\u00ac(0 \u2227 A)) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 ((\u00ac0) \u2228 (\u00acA))\n(((L \u2228 A) \u2227 A) \u2227 0) \u2228 (\u00ac0)\n0 \u2228 (\u00ac(0 \u2227 A))\n(0 \u2227 ((L \u2228 A) \u2227 A)) \u2228 (\u00ac(0 \u2227 A))\n((L \u2228 A) \u2227 (A \u2227 0)) \u2228 (\u00ac(0 \u2227 A))\n((A \u2227 (L \u2228 A)) \u2227 0) \u2228 (\u00ac(0 \u2227 A))\n(((A \u2228 L) \u2227 A) \u2227 0) \u2228 (\u00ac(0 \u2227 A))\nChosen: (\u00ac(0 \u2227 A)) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\n\nOptions:\n((\u00ac(0 \u2227 A)) \u2228 ((L \u2228 A) \u2227 A)) \u2227 ((\u00ac(0 \u2227 A)) \u2228 0)\n(\u00ac(0 \u2227 A)) \u2228 0\n(\u00ac(0 \u2227 A)) \u2228 (0 \u2227 ((L \u2228 A) \u2227 A))\n(\u00ac(0 \u2227 A)) \u2228 ((L \u2228 A) \u2227 (A \u2227 0))\n(\u00ac(0 \u2227 A)) \u2228 ((A \u2227 (L \u2228 A)) \u2227 0)\n(\u00ac(0 \u2227 A)) \u2228 (((A \u2228 L) \u2227 A) \u2227 0)\n((\u00ac0) \u2228 (\u00acA)) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\n(\u00ac0) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\n(\u00ac(A \u2227 0)) \u2228 (((L \u2228 A) \u2227 A) \u2227 0)\nChosen: (\u00ac(0 \u2227 A)) \u2228 0\n\nOptions:\n\u00ac(0 \u2227 A)\n0 \u2228 (\u00ac(0 \u2227 A))\n((\u00ac0) \u2228 (\u00acA)) \u2228 0\n(\u00ac0) \u2228 0\n(\u00ac(A \u2227 0)) \u2228 0\nChosen: \u00ac(0 \u2227 A)", "id": 1545}, {"char_len": 3321, "tokens": [18902, 25, 1819, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 356, 595, 12264, 101, 320, 16, 75078, 356, 340, 7, 83193, 51, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 75078, 356, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 34, 12264, 101, 320, 16, 75078, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 340, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 34, 75078, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 1192, 6774, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 51, 8, 12264, 101, 220, 15, 340, 6774, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 356, 595, 12264, 101, 320, 16, 75078, 356, 340, 7, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 75078, 356, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 34, 12264, 101, 320, 16, 75078, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 340, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 34, 75078, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 7, 83193, 51, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 4489, 3883, 512, 6774, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 595, 12264, 101, 1819, 83193, 51, 8, 12264, 101, 220, 15, 340, 7, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 6054, 6774, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 52200, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 356, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 320, 34, 12264, 101, 320, 16, 12264, 101, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 34, 12264, 101, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 16, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 34, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 34, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 7, 83193, 51, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 1163, 8477, 25, 1819, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 4489, 3883, 512, 6774, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 51, 8, 12264, 101, 220, 15, 340, 7, 83193, 51, 8, 12264, 101, 320, 15, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 6054, 6774, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 595, 75078, 11861, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 52200, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 356, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 220, 16, 340, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 356, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 34, 12264, 101, 220, 16, 6054, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 34, 12264, 101, 320, 16, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 34, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 12264, 101, 220, 15, 8, 12264, 101, 11861, 34, 12264, 101, 220, 16, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 83193, 51, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 4489, 3883, 512, 6774, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 51, 1192, 15, 12264, 101, 1819, 83193, 51, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 6054, 1209, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 595, 75078, 1819, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 356, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 52200, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 356, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 356, 6054, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 34, 12264, 101, 220, 16, 6054, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 34, 12264, 101, 320, 16, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 320, 34, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 34, 12264, 101, 220, 16, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 7, 83193, 51, 8, 12264, 101, 11861, 16, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 51, 595, 12264, 101, 11861, 34, 12264, 101, 220, 16, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 2364, "data_type": "boolean", "txt": "Original: ((\u00acT) \u2228 (0 \u2228 0)) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\n\nOptions:\n((1 \u2228 C) \u2228 (1 \u2227 C)) \u2228 ((\u00acT) \u2228 (0 \u2228 0))\n(((\u00acT) \u2228 (0 \u2228 0)) \u2228 (1 \u2228 C)) \u2228 (1 \u2227 C)\n(\u00acT) \u2228 ((0 \u2228 0) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C)))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 ((1 \u2227 C) \u2228 (1 \u2228 C))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 (1 \u2228 (C \u2228 (1 \u2227 C)))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 ((1 \u2228 C) \u2228 C)\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 ((1 \u2228 C) \u2228 (C \u2227 1))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 (1 \u2228 (1 \u2227 C))\n((\u00acT) \u2228 (0 \u2228 0)) \u2228 ((C \u2228 1) \u2228 (1 \u2227 C))\n((0 \u2228 0) \u2228 (\u00acT)) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\n(((\u00acT) \u2228 0) \u2228 0) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\nChosen: ((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\n\nOptions:\n((1 \u2228 C) \u2228 (1 \u2227 C)) \u2228 ((\u00acT) \u2228 0)\n(((\u00acT) \u2228 0) \u2228 (1 \u2228 C)) \u2228 (1 \u2227 C)\n(\u00acT) \u2228 (0 \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C)))\n((\u00acT) \u2228 0) \u2228 ((1 \u2227 C) \u2228 (1 \u2228 C))\n((\u00acT) \u2228 0) \u2228 (1 \u2228 (C \u2228 (1 \u2227 C)))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 C)\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 (C \u2227 1))\n((\u00acT) \u2228 0) \u2228 (1 \u2228 (1 \u2227 C))\n((\u00acT) \u2228 0) \u2228 ((C \u2228 1) \u2228 (1 \u2227 C))\n(\u00acT) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\n(0 \u2228 (\u00acT)) \u2228 ((1 \u2228 C) \u2228 (1 \u2227 C))\nChosen: ((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n\nOptions:\n(((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C)) \u2228 ((\u00acT) \u2228 0)\n(\u00acT) \u2228 (0 \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C)))\n(((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 1)) \u2227 (((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n((\u00acT) \u2228 0) \u2228 ((((1 \u2228 C) \u2228 1) \u2227 (1 \u2228 C)) \u2228 (((1 \u2228 C) \u2228 1) \u2227 C))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 (C \u2228 (1 \u2228 C)))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 (1 \u2228 (C \u2228 C)))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 (1 \u2228 C))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((C \u2228 1) \u2228 C))\n((\u00acT) \u2228 0) \u2228 (1 \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 (1 \u2228 C)) \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 (C \u2228 1)) \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n((\u00acT) \u2228 0) \u2228 (((C \u2228 1) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n(\u00acT) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\nChosen: ((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n\nOptions:\n(((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1)) \u2228 ((\u00acT) \u2228 0)\n(\u00acT) \u2228 (0 \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1)))\n(((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 C)) \u2227 (((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2228 1))\n((\u00acT) \u2228 0) \u2228 ((((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 C)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 1))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 1)\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 (1 \u2228 C)))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 (C \u2228 1)))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 1))\n((\u00acT) \u2228 0) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((C \u2228 1) \u2228 1))\n((\u00acT) \u2228 0) \u2228 ((C \u2228 (1 \u2228 C)) \u2227 ((1 \u2228 C) \u2228 1))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 (C \u2228 C)) \u2227 ((1 \u2228 C) \u2228 1))\n((\u00acT) \u2228 0) \u2228 ((1 \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n((\u00acT) \u2228 0) \u2228 (((C \u2228 1) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n(\u00acT) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\nChosen: (0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n\nOptions:\n(((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1)) \u2228 (0 \u2228 (\u00acT))\n0 \u2228 ((\u00acT) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1)))\n((0 \u2228 (\u00acT)) \u2228 ((1 \u2228 C) \u2228 C)) \u2227 ((0 \u2228 (\u00acT)) \u2228 ((1 \u2228 C) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 1) \u2227 ((1 \u2228 C) \u2228 C))\n(0 \u2228 (\u00acT)) \u2228 ((((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 C)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 1))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 1)\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 (1 \u2228 C)))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 (C \u2228 1)))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 (1 \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((C \u2228 1) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 ((C \u2228 (1 \u2228 C)) \u2227 ((1 \u2228 C) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 ((1 \u2228 (C \u2228 C)) \u2227 ((1 \u2228 C) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 ((1 \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n(0 \u2228 (\u00acT)) \u2228 (((C \u2228 1) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\n(\u00acT) \u2228 (((1 \u2228 C) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))\nChosen: (0 \u2228 (\u00acT)) \u2228 (((C \u2228 1) \u2228 C) \u2227 ((1 \u2228 C) \u2228 1))", "id": 1546}, {"char_len": 1137, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 1229, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 595, 75078, 320, 83193, 7, 15, 75078, 1229, 1192, 1209, 83193, 7, 15, 75078, 1229, 595, 75078, 320, 83193, 48, 595, 12264, 101, 1819, 83193, 7, 15, 75078, 1229, 595, 75078, 320, 16, 12264, 101, 356, 1192, 7, 83193, 7, 15, 75078, 1229, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 83193, 48, 1192, 7, 83193, 7, 15, 75078, 1229, 595, 75078, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 12264, 101, 356, 340, 7, 83193, 7, 15, 75078, 1229, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 15, 75078, 1229, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 7, 83193, 7, 48, 75078, 220, 15, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 83193, 48, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 16, 12264, 101, 356, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 16, 12264, 101, 356, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 11861, 83193, 48, 8, 12264, 101, 220, 16, 8, 12264, 101, 356, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 7, 16, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 83193, 48, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 198, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 48, 595, 75078, 320, 16, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 48, 1192, 1209, 16, 12264, 101, 320, 83193, 48, 595, 75078, 320, 83193, 48, 595, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 198, 7, 16, 12264, 101, 320, 83193, 48, 595, 75078, 320, 16, 12264, 101, 320, 83193, 48, 1192, 16, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 48, 595, 75078, 220, 16, 271, 3883, 512, 16, 12264, 101, 320, 83193, 48, 340, 16, 75078, 320, 16, 12264, 101, 320, 83193, 48, 1192, 16, 75078, 220, 16, 198, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 198, 1163, 8477, 25, 220, 16, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 766, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 Q)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\n\nOptions:\n((\u00acQ) \u2228 (1 \u2228 C)) \u2227 (\u00ac(0 \u2227 Q))\n((\u00ac(0 \u2227 Q)) \u2227 (\u00acQ)) \u2228 ((\u00ac(0 \u2227 Q)) \u2227 (1 \u2228 C))\n(\u00ac(0 \u2227 Q)) \u2227 ((1 \u2228 C) \u2228 (\u00acQ))\n(\u00ac(0 \u2227 Q)) \u2227 (((\u00acQ) \u2228 1) \u2228 C)\n(\u00ac(0 \u2227 Q)) \u2227 ((\u00acQ) \u2228 1)\n(\u00ac(0 \u2227 Q)) \u2227 ((\u00acQ) \u2228 (C \u2228 1))\n((\u00ac0) \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\n(\u00ac0) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\n(\u00ac(Q \u2227 0)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\nChosen: ((\u00ac0) \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\n\nOptions:\n((\u00acQ) \u2228 (1 \u2228 C)) \u2227 ((\u00ac0) \u2228 (\u00acQ))\n(((\u00ac0) \u2228 (\u00acQ)) \u2227 (\u00acQ)) \u2228 (((\u00ac0) \u2228 (\u00acQ)) \u2227 (1 \u2228 C))\n((\u00ac0) \u2228 (\u00acQ)) \u2227 ((1 \u2228 C) \u2228 (\u00acQ))\n((\u00ac0) \u2228 (\u00acQ)) \u2227 (((\u00acQ) \u2228 1) \u2228 C)\n((\u00ac0) \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 1)\n((\u00ac0) \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 (C \u2228 1))\n((\u00acQ) \u2228 (\u00ac0)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\n(1 \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 (1 \u2228 C))\nChosen: ((\u00ac0) \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 1)\n\nOptions:\n((\u00acQ) \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00acQ))\n(((\u00ac0) \u2228 (\u00acQ)) \u2227 (\u00acQ)) \u2228 (((\u00ac0) \u2228 (\u00acQ)) \u2227 1)\n((\u00ac0) \u2228 (\u00acQ)) \u2227 1\n((\u00ac0) \u2228 (\u00acQ)) \u2227 (1 \u2228 (\u00acQ))\n((\u00acQ) \u2228 (\u00ac0)) \u2227 ((\u00acQ) \u2228 1)\n(1 \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 1)\nChosen: (1 \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 1)\n\nOptions:\n((\u00acQ) \u2228 1) \u2227 (1 \u2228 (\u00acQ))\n((1 \u2228 (\u00acQ)) \u2227 (\u00acQ)) \u2228 ((1 \u2228 (\u00acQ)) \u2227 1)\n(1 \u2228 (\u00acQ)) \u2227 1\n(1 \u2228 (\u00acQ)) \u2227 (1 \u2228 (\u00acQ))\n1 \u2227 ((\u00acQ) \u2228 1)\n((\u00acQ) \u2228 1) \u2227 ((\u00acQ) \u2228 1)\nChosen: (1 \u2228 (\u00acQ)) \u2227 1\n\nOptions:\n1 \u2228 (\u00acQ)\n1 \u2227 (1 \u2228 (\u00acQ))\n1 \u2227 1\n((\u00acQ) \u2228 1) \u2227 1\nChosen: 1 \u2227 1", "id": 1547}, {"char_len": 789, "tokens": [18902, 25, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 37, 4489, 3883, 512, 7, 83193, 7, 83193, 37, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 37, 6054, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 435, 198, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 6774, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 435, 271, 3883, 512, 37, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 435, 340, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 435, 198, 6774, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 435, 198, 1209, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 435, 198, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 435, 198, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 435, 198, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 435, 271, 3883, 512, 37, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 435, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 435, 198, 7, 15, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 435, 198, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 435, 198, 1209, 16, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 435, 198, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 435, 696, 3883, 512, 7, 15, 12264, 101, 435, 8, 12264, 101, 320, 15, 75078, 220, 16, 340, 7, 15, 75078, 220, 16, 8, 12264, 101, 435, 198, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 37, 12264, 101, 220, 15, 340, 15, 12264, 101, 320, 15, 12264, 101, 435, 340, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 435, 340, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 12264, 101, 435, 271, 3883, 512, 37, 12264, 101, 320, 15, 75078, 220, 16, 340, 15, 12264, 101, 435, 198, 7, 16, 75078, 220, 15, 8, 12264, 101, 435, 198, 1163, 8477, 25, 220, 15, 12264, 101, 435], "tokenizer": "cl100k_base", "tokens_len": 575, "data_type": "boolean", "txt": "Original: ((0 \u2227 1) \u2228 (0 \u2228 0)) \u2228 (\u00ac(\u00acF))\n\nOptions:\n(\u00ac(\u00acF)) \u2228 ((0 \u2227 1) \u2228 (0 \u2228 0))\n(0 \u2227 1) \u2228 ((0 \u2228 0) \u2228 (\u00ac(\u00acF)))\n((0 \u2227 1) \u2228 (0 \u2228 0)) \u2228 F\n((0 \u2228 0) \u2228 (0 \u2227 1)) \u2228 (\u00ac(\u00acF))\n(((0 \u2227 1) \u2228 0) \u2228 0) \u2228 (\u00ac(\u00acF))\n((0 \u2227 1) \u2228 0) \u2228 (\u00ac(\u00acF))\n(0 \u2228 (0 \u2228 0)) \u2228 (\u00ac(\u00acF))\n((1 \u2227 0) \u2228 (0 \u2228 0)) \u2228 (\u00ac(\u00acF))\nChosen: ((0 \u2227 1) \u2228 (0 \u2228 0)) \u2228 F\n\nOptions:\nF \u2228 ((0 \u2227 1) \u2228 (0 \u2228 0))\n(0 \u2227 1) \u2228 ((0 \u2228 0) \u2228 F)\n((0 \u2228 0) \u2228 (0 \u2227 1)) \u2228 F\n(((0 \u2227 1) \u2228 0) \u2228 0) \u2228 F\n((0 \u2227 1) \u2228 0) \u2228 F\n(0 \u2228 (0 \u2228 0)) \u2228 F\n((1 \u2227 0) \u2228 (0 \u2228 0)) \u2228 F\nChosen: ((0 \u2227 1) \u2228 0) \u2228 F\n\nOptions:\nF \u2228 ((0 \u2227 1) \u2228 0)\n(0 \u2227 1) \u2228 (0 \u2228 F)\n(0 \u2227 1) \u2228 F\n(0 \u2228 (0 \u2227 1)) \u2228 F\n(0 \u2228 0) \u2228 F\n((1 \u2227 0) \u2228 0) \u2228 F\nChosen: (0 \u2227 1) \u2228 (0 \u2228 F)\n\nOptions:\n(0 \u2228 F) \u2228 (0 \u2227 1)\n(0 \u2227 1) \u2228 F\n(0 \u2227 1) \u2228 (F \u2228 0)\n0 \u2228 (0 \u2228 F)\n(1 \u2227 0) \u2228 (0 \u2228 F)\nChosen: (0 \u2227 1) \u2228 F\n\nOptions:\nF \u2228 (0 \u2227 1)\n0 \u2228 F\n(1 \u2227 0) \u2228 F\nChosen: 0 \u2228 F", "id": 1548}, {"char_len": 1293, "tokens": [18902, 25, 320, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 41, 75078, 220, 16, 4489, 3883, 512, 1209, 41, 75078, 468, 8, 12264, 101, 320, 41, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 1192, 1209, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 320, 41, 75078, 468, 595, 12264, 101, 320, 41, 75078, 220, 16, 340, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 220, 16, 8, 12264, 101, 320, 41, 75078, 468, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 11861, 41, 75078, 468, 8, 12264, 101, 622, 8, 75078, 1819, 41, 75078, 468, 8, 12264, 101, 220, 16, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 622, 340, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 16, 75078, 622, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 54, 75078, 622, 8, 12264, 101, 320, 41, 75078, 220, 16, 1192, 1209, 83193, 41, 8, 75078, 320, 83193, 54, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 41, 75078, 220, 16, 1192, 7, 83193, 7, 54, 12264, 101, 622, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 41, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 16, 75078, 622, 4489, 3883, 512, 1209, 41, 75078, 468, 8, 12264, 101, 320, 16, 75078, 622, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 1192, 1209, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 320, 41, 75078, 468, 595, 12264, 101, 320, 16, 75078, 622, 340, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 16, 75078, 622, 8, 12264, 101, 320, 41, 75078, 468, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 11861, 41, 75078, 468, 8, 12264, 101, 220, 16, 8, 75078, 1819, 41, 75078, 468, 8, 12264, 101, 622, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 622, 340, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 54, 75078, 622, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1209, 83193, 41, 8, 75078, 320, 83193, 54, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 16, 75078, 622, 1192, 7, 83193, 7, 54, 12264, 101, 622, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 622, 696, 3883, 512, 1209, 41, 75078, 468, 8, 12264, 101, 622, 8, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 1192, 1209, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 320, 41, 75078, 468, 595, 12264, 101, 622, 198, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 320, 41, 12264, 101, 320, 41, 75078, 468, 1192, 7, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 1819, 54, 75078, 622, 8, 12264, 101, 622, 340, 1209, 83193, 41, 8, 75078, 320, 83193, 54, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 622, 340, 7, 83193, 7, 54, 12264, 101, 622, 595, 12264, 101, 1819, 41, 75078, 468, 8, 12264, 101, 622, 340, 1163, 8477, 25, 1819, 41, 75078, 468, 8, 12264, 101, 622, 8, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 4489, 3883, 512, 16772, 75078, 468, 8, 12264, 101, 320, 41, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 6054, 1209, 41, 75078, 468, 8, 12264, 101, 622, 8, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 83193, 54, 1192, 1209, 41, 75078, 468, 8, 12264, 101, 622, 8, 12264, 101, 320, 83193, 7, 54, 12264, 101, 622, 1192, 16772, 12264, 101, 320, 41, 75078, 468, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 1192, 1209, 54, 75078, 622, 8, 12264, 101, 622, 8, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 1192, 1163, 8477, 25, 320, 41, 75078, 468, 8, 12264, 101, 320, 41, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 19789, 3883, 512, 16772, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 7861, 12264, 101, 320, 41, 75078, 468, 340, 16772, 75078, 468, 8, 12264, 101, 1819, 83193, 7, 41, 12264, 101, 468, 595, 12264, 101, 622, 340, 16772, 75078, 468, 8, 12264, 101, 320, 41, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 83193, 54, 6054, 16772, 75078, 468, 8, 12264, 101, 320, 41, 12264, 101, 320, 83193, 7, 54, 12264, 101, 622, 6054, 14358, 75078, 622, 8, 12264, 101, 320, 41, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 6054, 1163, 8477, 25, 320, 54, 75078, 622, 8, 12264, 101, 320, 41, 12264, 101, 320, 83193, 7, 41, 12264, 101, 468, 7861], "tokenizer": "cl100k_base", "tokens_len": 840, "data_type": "boolean", "txt": "Original: (\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 (J \u2227 1))\n\nOptions:\n((J \u2227 W) \u2228 (J \u2227 1)) \u2228 (\u00ac(J \u2228 W))\n((\u00ac(J \u2228 W)) \u2228 (J \u2227 W)) \u2228 (J \u2227 1)\n(\u00ac(J \u2228 W)) \u2228 ((J \u2227 1) \u2228 (J \u2227 W))\n(\u00ac(J \u2228 W)) \u2228 (((J \u2227 W) \u2228 J) \u2227 ((J \u2227 W) \u2228 1))\n(\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 J)\n(\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 (1 \u2227 J))\n(\u00ac(J \u2228 W)) \u2228 ((W \u2227 J) \u2228 (J \u2227 1))\n((\u00acJ) \u2227 (\u00acW)) \u2228 ((J \u2227 W) \u2228 (J \u2227 1))\n(\u00ac(W \u2228 J)) \u2228 ((J \u2227 W) \u2228 (J \u2227 1))\nChosen: (\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 (1 \u2227 J))\n\nOptions:\n((J \u2227 W) \u2228 (1 \u2227 J)) \u2228 (\u00ac(J \u2228 W))\n((\u00ac(J \u2228 W)) \u2228 (J \u2227 W)) \u2228 (1 \u2227 J)\n(\u00ac(J \u2228 W)) \u2228 ((1 \u2227 J) \u2228 (J \u2227 W))\n(\u00ac(J \u2228 W)) \u2228 (((J \u2227 W) \u2228 1) \u2227 ((J \u2227 W) \u2228 J))\n(\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 J)\n(\u00ac(J \u2228 W)) \u2228 ((W \u2227 J) \u2228 (1 \u2227 J))\n((\u00acJ) \u2227 (\u00acW)) \u2228 ((J \u2227 W) \u2228 (1 \u2227 J))\n(\u00ac(W \u2228 J)) \u2228 ((J \u2227 W) \u2228 (1 \u2227 J))\nChosen: (\u00ac(J \u2228 W)) \u2228 ((J \u2227 W) \u2228 J)\n\nOptions:\n((J \u2227 W) \u2228 J) \u2228 (\u00ac(J \u2228 W))\n((\u00ac(J \u2228 W)) \u2228 (J \u2227 W)) \u2228 J\n(\u00ac(J \u2228 W)) \u2228 (J \u2228 (J \u2227 W))\n(\u00ac(J \u2228 W)) \u2228 ((W \u2227 J) \u2228 J)\n((\u00acJ) \u2227 (\u00acW)) \u2228 ((J \u2227 W) \u2228 J)\n(\u00ac(W \u2228 J)) \u2228 ((J \u2227 W) \u2228 J)\nChosen: ((J \u2227 W) \u2228 J) \u2228 (\u00ac(J \u2228 W))\n\nOptions:\n(J \u2227 W) \u2228 (J \u2228 (\u00ac(J \u2228 W)))\n((J \u2227 W) \u2228 J) \u2228 ((\u00acJ) \u2227 (\u00acW))\n((J \u2227 W) \u2228 J) \u2228 (\u00ac(W \u2228 J))\n(J \u2228 (J \u2227 W)) \u2228 (\u00ac(J \u2228 W))\n((W \u2227 J) \u2228 J) \u2228 (\u00ac(J \u2228 W))\nChosen: (J \u2227 W) \u2228 (J \u2228 (\u00ac(J \u2228 W)))\n\nOptions:\n(J \u2228 (\u00ac(J \u2228 W))) \u2228 (J \u2227 W)\n(J \u2227 W) \u2228 ((\u00ac(J \u2228 W)) \u2228 J)\n(J \u2227 W) \u2228 (J \u2228 ((\u00acJ) \u2227 (\u00acW)))\n(J \u2227 W) \u2228 (J \u2228 (\u00ac(W \u2228 J)))\n(W \u2227 J) \u2228 (J \u2228 (\u00ac(J \u2228 W)))\nChosen: (W \u2227 J) \u2228 (J \u2228 (\u00ac(J \u2228 W)))", "id": 1549}, {"char_len": 1281, "tokens": [18902, 25, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 7, 15, 75078, 320, 16, 75078, 320, 83193, 15, 7861, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 15, 75078, 320, 16, 75078, 320, 83193, 15, 7861, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 15, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 6054, 7, 15, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 7, 15, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 15, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 7, 15, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 15, 340, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 198, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 15, 75078, 220, 16, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 7, 83193, 15, 8, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 1819, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 1209, 83193, 7, 15, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 15, 75078, 320, 83193, 15, 340, 7, 15, 75078, 320, 83193, 7, 15, 75078, 220, 16, 7861, 75078, 320, 83193, 15, 340, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 220, 15, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 7, 16, 75078, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 829, "data_type": "boolean", "txt": "Original: ((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 0))\n\nOptions:\n(\u00ac(1 \u2227 0)) \u2227 ((0 \u2227 1) \u2227 (\u00ac0))\n(0 \u2227 1) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2227 0)))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac0)\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\n((\u00ac0) \u2227 (0 \u2227 1)) \u2227 (\u00ac(1 \u2227 0))\n(0 \u2227 (1 \u2227 (\u00ac0))) \u2227 (\u00ac(1 \u2227 0))\n((0 \u2227 1) \u2227 1) \u2227 (\u00ac(1 \u2227 0))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 0))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 0))\nChosen: ((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 ((0 \u2227 1) \u2227 (\u00ac0))\n(0 \u2227 1) \u2227 ((\u00ac0) \u2227 (\u00ac(0 \u2227 1)))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((0 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (0 \u2227 1)) \u2227 (\u00ac(0 \u2227 1))\n(0 \u2227 (1 \u2227 (\u00ac0))) \u2227 (\u00ac(0 \u2227 1))\n((0 \u2227 1) \u2227 1) \u2227 (\u00ac(0 \u2227 1))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\n((1 \u2227 0) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\nChosen: (0 \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2227 (0 \u2227 (\u00ac0))\n0 \u2227 ((\u00ac0) \u2227 (\u00ac(0 \u2227 1)))\n(0 \u2227 (\u00ac0)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac0)\n(0 \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 0))\n0 \u2227 (\u00ac(0 \u2227 1))\n((\u00ac0) \u2227 0) \u2227 (\u00ac(0 \u2227 1))\n(0 \u2227 1) \u2227 (\u00ac(0 \u2227 1))\nChosen: (\u00ac(0 \u2227 1)) \u2227 (0 \u2227 (\u00ac0))\n\nOptions:\n((\u00ac(0 \u2227 1)) \u2227 0) \u2227 (\u00ac0)\n(\u00ac(0 \u2227 1)) \u2227 0\n(\u00ac(0 \u2227 1)) \u2227 ((\u00ac0) \u2227 0)\n(\u00ac(0 \u2227 1)) \u2227 (0 \u2227 1)\n((\u00ac0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (\u00ac0))\n(\u00ac0) \u2227 (0 \u2227 (\u00ac0))\n(\u00ac(1 \u2227 0)) \u2227 (0 \u2227 (\u00ac0))\nChosen: ((\u00ac(0 \u2227 1)) \u2227 0) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 ((\u00ac(0 \u2227 1)) \u2227 0)\n((\u00ac(0 \u2227 1)) \u2227 0) \u2227 1\n0 \u2227 (\u00ac0)\n(0 \u2227 (\u00ac(0 \u2227 1))) \u2227 (\u00ac0)\n(((\u00ac0) \u2228 (\u00ac1)) \u2227 0) \u2227 (\u00ac0)\n((\u00ac0) \u2227 0) \u2227 (\u00ac0)\n((\u00ac(1 \u2227 0)) \u2227 0) \u2227 (\u00ac0)\nChosen: (((\u00ac0) \u2228 (\u00ac1)) \u2227 0) \u2227 (\u00ac0)", "id": 1550}, {"char_len": 1983, "tokens": [18902, 25, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 15, 75078, 473, 595, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 320, 39, 12264, 101, 1229, 4489, 3883, 512, 1209, 39, 12264, 101, 1229, 8, 75078, 320, 39, 12264, 101, 1229, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 15, 75078, 473, 1192, 7, 16, 75078, 1229, 8, 12264, 101, 1819, 15, 75078, 473, 8, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 320, 39, 12264, 101, 1229, 6054, 6774, 16, 75078, 1229, 8, 12264, 101, 320, 15, 75078, 473, 595, 12264, 101, 320, 39, 12264, 101, 1229, 595, 75078, 11861, 16, 75078, 1229, 8, 12264, 101, 320, 15, 75078, 473, 595, 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101, 1229, 8, 75078, 320, 48, 12264, 101, 473, 1192, 7, 15, 12264, 101, 1229, 8, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 320, 48, 12264, 101, 473, 1192, 1163, 8477, 25, 320, 48, 12264, 101, 220, 15, 8, 12264, 101, 11861, 39, 12264, 101, 1229, 8, 75078, 1229, 8, 12264, 101, 1819, 39, 12264, 101, 1229, 8, 75078, 473, 595], "tokenizer": "cl100k_base", "tokens_len": 1297, "data_type": "boolean", "txt": "Original: ((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n\nOptions:\n((H \u2228 Q) \u2227 (H \u2228 Q)) \u2228 ((1 \u2227 Q) \u2228 (0 \u2227 H))\n(1 \u2227 Q) \u2228 ((0 \u2227 H) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q)))\n(((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 (H \u2228 Q)) \u2227 (((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 (H \u2228 Q))\n((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 (((H \u2228 Q) \u2227 H) \u2228 ((H \u2228 Q) \u2227 Q))\n((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n((1 \u2227 Q) \u2228 (0 \u2227 H)) \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\n((0 \u2227 H) \u2228 (1 \u2227 Q)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n(((1 \u2227 Q) \u2228 0) \u2227 ((1 \u2227 Q) \u2228 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n((1 \u2227 Q) \u2228 0) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n((1 \u2227 Q) \u2228 (H \u2227 0)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n(Q \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n((Q \u2227 1) \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\nChosen: (Q \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n\nOptions:\n((H \u2228 Q) \u2227 (H \u2228 Q)) \u2228 (Q \u2228 (0 \u2227 H))\nQ \u2228 ((0 \u2227 H) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q)))\n((Q \u2228 (0 \u2227 H)) \u2228 (H \u2228 Q)) \u2227 ((Q \u2228 (0 \u2227 H)) \u2228 (H \u2228 Q))\n(Q \u2228 (0 \u2227 H)) \u2228 (((H \u2228 Q) \u2227 H) \u2228 ((H \u2228 Q) \u2227 Q))\n(Q \u2228 (0 \u2227 H)) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n(Q \u2228 (0 \u2227 H)) \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\n((0 \u2227 H) \u2228 Q) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n((Q \u2228 0) \u2227 (Q \u2228 H)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n(Q \u2228 0) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n(Q \u2228 (H \u2227 0)) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\nChosen: (Q \u2228 0) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n\nOptions:\n((H \u2228 Q) \u2227 (H \u2228 Q)) \u2228 (Q \u2228 0)\nQ \u2228 (0 \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q)))\n((Q \u2228 0) \u2228 (H \u2228 Q)) \u2227 ((Q \u2228 0) \u2228 (H \u2228 Q))\n(Q \u2228 0) \u2228 (((H \u2228 Q) \u2227 H) \u2228 ((H \u2228 Q) \u2227 Q))\n(Q \u2228 0) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n(Q \u2228 0) \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\nQ \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\n(0 \u2228 Q) \u2228 ((H \u2228 Q) \u2227 (H \u2228 Q))\nChosen: (Q \u2228 0) \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\n\nOptions:\n((Q \u2228 H) \u2227 (H \u2228 Q)) \u2228 (Q \u2228 0)\nQ \u2228 (0 \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q)))\n((Q \u2228 0) \u2228 (Q \u2228 H)) \u2227 ((Q \u2228 0) \u2228 (H \u2228 Q))\n(Q \u2228 0) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n(Q \u2228 0) \u2228 (((Q \u2228 H) \u2227 H) \u2228 ((Q \u2228 H) \u2227 Q))\n(Q \u2228 0) \u2228 ((Q \u2228 H) \u2227 (Q \u2228 H))\nQ \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\n(0 \u2228 Q) \u2228 ((Q \u2228 H) \u2227 (H \u2228 Q))\nChosen: (Q \u2228 0) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n\nOptions:\n((H \u2228 Q) \u2227 (Q \u2228 H)) \u2228 (Q \u2228 0)\nQ \u2228 (0 \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H)))\n((Q \u2228 0) \u2228 (H \u2228 Q)) \u2227 ((Q \u2228 0) \u2228 (Q \u2228 H))\n(Q \u2228 0) \u2228 (((H \u2228 Q) \u2227 Q) \u2228 ((H \u2228 Q) \u2227 H))\n(Q \u2228 0) \u2228 ((Q \u2228 H) \u2227 (Q \u2228 H))\nQ \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\n(0 \u2228 Q) \u2228 ((H \u2228 Q) \u2227 (Q \u2228 H))\nChosen: (Q \u2228 0) \u2228 (((H \u2228 Q) \u2227 Q) \u2228 ((H \u2228 Q) \u2227 H))", "id": 1551}, {"char_len": 3573, "tokens": [18902, 25, 1819, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 54, 12264, 101, 362, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 54, 12264, 101, 362, 595, 12264, 101, 1819, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 6774, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 54, 12264, 101, 362, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 54, 12264, 101, 362, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 54, 12264, 101, 362, 6054, 1209, 15, 12264, 101, 362, 8, 75078, 320, 15, 12264, 101, 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468, 8, 12264, 101, 220, 15, 8, 75078, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 220, 15, 340, 4444, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 32, 75078, 220, 15, 1192, 4444, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 54, 75078, 320, 15, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 75078, 320, 15, 75078, 468, 595, 12264, 101, 320, 15, 75078, 362, 1192, 4444, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 1192, 1209, 32, 75078, 220, 15, 8, 12264, 101, 320, 32, 75078, 220, 16, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 1192, 4444, 75078, 220, 16, 8, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 1192, 4444, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 1192, 1163, 8477, 25, 320, 32, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 320, 15, 75078, 362, 595], "tokenizer": "cl100k_base", "tokens_len": 2371, "data_type": "boolean", "txt": "Original: ((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n\nOptions:\n((0 \u2227 0) \u2227 (W \u2228 A)) \u2228 ((0 \u2228 A) \u2227 (0 \u2228 1))\n(((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 0)) \u2227 (((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (W \u2228 A))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 ((W \u2228 A) \u2227 (0 \u2227 0))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 (0 \u2227 (W \u2228 A)))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (A \u2228 W))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 (W \u2228 A))\n((0 \u2228 1) \u2227 (0 \u2228 A)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n(((0 \u2228 A) \u2227 0) \u2228 ((0 \u2228 A) \u2227 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n((0 \u2228 A) \u2227 1) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n((0 \u2228 A) \u2227 (1 \u2228 0)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\nChosen: ((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n\nOptions:\n((0 \u2227 0) \u2227 (W \u2228 A)) \u2228 ((A \u2228 0) \u2227 (0 \u2228 1))\n(((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 0)) \u2227 (((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (W \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((W \u2228 A) \u2227 (0 \u2227 0))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 (0 \u2227 (W \u2228 A)))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (A \u2228 W))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (0 \u2227 (W \u2228 A))\n((0 \u2228 1) \u2227 (A \u2228 0)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n(((A \u2228 0) \u2227 0) \u2228 ((A \u2228 0) \u2227 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n((A \u2228 0) \u2227 1) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n((A \u2228 0) \u2227 (1 \u2228 0)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 (W \u2228 A))\nChosen: ((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n\nOptions:\n(((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A)) \u2228 ((A \u2228 0) \u2227 (0 \u2228 1))\n(((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 W)) \u2228 ((0 \u2227 0) \u2227 A)\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 A) \u2228 ((0 \u2227 0) \u2227 W))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 0)) \u2227 (((0 \u2227 0) \u2227 W) \u2228 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (A \u2227 (0 \u2227 0)))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 (0 \u2227 A)))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((W \u2227 (0 \u2227 0)) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 (0 \u2227 W)) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2228 0) \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((0 \u2228 1) \u2227 (A \u2228 0)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n(((A \u2228 0) \u2227 0) \u2228 ((A \u2228 0) \u2227 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2228 0) \u2227 1) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2228 0) \u2227 (1 \u2228 0)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((0 \u2228 A) \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\nChosen: (A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n\nOptions:\n(((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A)) \u2228 (A \u2227 (0 \u2228 1))\n((A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 W)) \u2228 ((0 \u2227 0) \u2227 A)\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 A) \u2228 ((0 \u2227 0) \u2227 W))\n(A \u2227 (0 \u2228 1)) \u2228 ((((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 0)) \u2227 (((0 \u2227 0) \u2227 W) \u2228 A))\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (A \u2227 (0 \u2227 0)))\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 (0 \u2227 A)))\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((W \u2227 (0 \u2227 0)) \u2228 ((0 \u2227 0) \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 (0 \u2227 W)) \u2228 ((0 \u2227 0) \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((0 \u2228 1) \u2227 A) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n((A \u2227 0) \u2228 (A \u2227 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n(A \u2227 1) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\n(A \u2227 (1 \u2228 0)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 ((0 \u2227 0) \u2227 A))\nChosen: (A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n\nOptions:\n(((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A)) \u2228 (A \u2227 (0 \u2228 1))\n((A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 0) \u2227 W)) \u2228 (0 \u2227 A)\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 A) \u2228 ((0 \u2227 0) \u2227 W))\n(A \u2227 (0 \u2228 1)) \u2228 ((((0 \u2227 0) \u2227 W) \u2228 0) \u2227 (((0 \u2227 0) \u2227 W) \u2228 A))\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 0)\n(A \u2227 (0 \u2228 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (A \u2227 0))\n(A \u2227 (0 \u2228 1)) \u2228 ((W \u2227 (0 \u2227 0)) \u2228 (0 \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 (0 \u2227 W)) \u2228 (0 \u2227 A))\n(A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 W) \u2228 (0 \u2227 A))\n((0 \u2228 1) \u2227 A) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n((A \u2227 0) \u2228 (A \u2227 1)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n(A \u2227 1) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\n(A \u2227 (1 \u2228 0)) \u2228 (((0 \u2227 0) \u2227 W) \u2228 (0 \u2227 A))\nChosen: (A \u2227 (0 \u2228 1)) \u2228 ((0 \u2227 W) \u2228 (0 \u2227 A))", "id": 1552}, {"char_len": 1230, "tokens": [18902, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 6774, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 49, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 49, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 432, 8, 75078, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 432, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 49, 75078, 220, 15, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 1192, 7, 15, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 4489, 3883, 512, 6774, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 83193, 49, 1192, 1209, 49, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 6774, 83193, 16, 8, 75078, 432, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 432, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 7, 15, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 340, 6774, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 83193, 49, 1192, 15, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 7, 15, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 49, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 83193, 49, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 340, 6774, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 220, 15, 198, 1209, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 49, 8, 75078, 220, 15, 340, 15, 12264, 101, 320, 15, 75078, 320, 83193, 49, 1192, 7, 15, 75078, 320, 83193, 16, 595, 12264, 101, 320, 15, 75078, 320, 83193, 49, 1192, 7, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 83193, 49, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 15, 75078, 320, 83193, 49, 4489, 3883, 512, 15, 75078, 320, 83193, 49, 340, 7, 15, 75078, 320, 83193, 49, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 83193, 49, 1192, 15, 12264, 101, 220, 15, 198, 15, 12264, 101, 1819, 83193, 49, 8, 75078, 220, 15, 340, 1163, 8477, 25, 220, 15, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 805, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 (R \u2227 0))\n\nOptions:\n((\u00ac1) \u2227 (R \u2227 0)) \u2228 ((\u00ac1) \u2227 (\u00acR))\n(((\u00ac1) \u2227 (\u00acR)) \u2228 (\u00ac1)) \u2227 (((\u00ac1) \u2227 (\u00acR)) \u2228 (R \u2227 0))\n((\u00ac1) \u2227 (\u00acR)) \u2228 ((R \u2227 0) \u2227 (\u00ac1))\n((\u00ac1) \u2227 (\u00acR)) \u2228 (((\u00ac1) \u2227 R) \u2227 0)\n((\u00ac1) \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 0)\n((\u00ac1) \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 (0 \u2227 R))\n((\u00ac1) \u2227 (\u00acR)) \u2228 (0 \u2227 (R \u2227 0))\n((\u00acR) \u2227 (\u00ac1)) \u2228 ((\u00ac1) \u2227 (R \u2227 0))\n(0 \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 (R \u2227 0))\nChosen: ((\u00ac1) \u2227 (R \u2227 0)) \u2228 ((\u00ac1) \u2227 (\u00acR))\n\nOptions:\n(((\u00ac1) \u2227 (R \u2227 0)) \u2228 (\u00ac1)) \u2227 (((\u00ac1) \u2227 (R \u2227 0)) \u2228 (\u00acR))\n((\u00ac1) \u2227 (R \u2227 0)) \u2228 ((\u00acR) \u2227 (\u00ac1))\n((\u00ac1) \u2227 (R \u2227 0)) \u2228 (0 \u2227 (\u00acR))\n((R \u2227 0) \u2227 (\u00ac1)) \u2228 ((\u00ac1) \u2227 (\u00acR))\n(((\u00ac1) \u2227 R) \u2227 0) \u2228 ((\u00ac1) \u2227 (\u00acR))\n((\u00ac1) \u2227 0) \u2228 ((\u00ac1) \u2227 (\u00acR))\n((\u00ac1) \u2227 (0 \u2227 R)) \u2228 ((\u00ac1) \u2227 (\u00acR))\n(0 \u2227 (R \u2227 0)) \u2228 ((\u00ac1) \u2227 (\u00acR))\nChosen: ((\u00ac1) \u2227 0) \u2228 ((\u00ac1) \u2227 (\u00acR))\n\nOptions:\n((\u00ac1) \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 0)\n(((\u00ac1) \u2227 0) \u2228 (\u00ac1)) \u2227 (((\u00ac1) \u2227 0) \u2228 (\u00acR))\n((\u00ac1) \u2227 0) \u2228 ((\u00acR) \u2227 (\u00ac1))\n((\u00ac1) \u2227 0) \u2228 (0 \u2227 (\u00acR))\n0 \u2228 ((\u00ac1) \u2227 (\u00acR))\n(0 \u2227 (\u00ac1)) \u2228 ((\u00ac1) \u2227 (\u00acR))\n(0 \u2227 0) \u2228 ((\u00ac1) \u2227 (\u00acR))\nChosen: ((\u00ac1) \u2227 0) \u2228 (0 \u2227 (\u00acR))\n\nOptions:\n(0 \u2227 (\u00acR)) \u2228 ((\u00ac1) \u2227 0)\n(((\u00ac1) \u2227 0) \u2228 0) \u2227 (((\u00ac1) \u2227 0) \u2228 (\u00acR))\n((\u00ac1) \u2227 0) \u2228 0\n((\u00ac1) \u2227 0) \u2228 ((\u00acR) \u2227 0)\n0 \u2228 (0 \u2227 (\u00acR))\n(0 \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00acR))\n(0 \u2227 0) \u2228 (0 \u2227 (\u00acR))\nChosen: 0 \u2228 (0 \u2227 (\u00acR))\n\nOptions:\n0 \u2227 (\u00acR)\n(0 \u2227 (\u00acR)) \u2228 0\n(0 \u2228 0) \u2227 (0 \u2228 (\u00acR))\n0 \u2228 0\n0 \u2228 ((\u00acR) \u2227 0)\nChosen: 0 \u2228 0", "id": 1553}, {"char_len": 318, "tokens": [18902, 25, 97265, 1209, 83193, 51, 8, 12264, 101, 320, 83193, 45, 4489, 3883, 512, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 83193, 45, 1192, 83193, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 51, 1192, 1163, 8477, 25, 97265, 1209, 83193, 45, 8, 12264, 101, 320, 83193, 51, 4489, 3883, 512, 7, 83193, 7, 83193, 45, 595, 75078, 320, 83193, 7, 83193, 51, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 45, 595, 75078, 320, 83193, 7, 83193, 51, 4489, 3883, 512, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 83193, 45, 1192, 7, 83193, 7, 83193, 45, 595, 75078, 350, 198, 45, 75078, 320, 83193, 7, 83193, 51, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 83193, 45, 4489, 3883, 512, 7, 83193, 7, 83193, 51, 595, 75078, 452, 198, 51, 75078, 320, 83193, 7, 83193, 45, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 51, 595, 75078, 452, 271, 3883, 512, 45, 75078, 320, 83193, 7, 83193, 51, 1192, 51, 75078, 452, 198, 1163, 8477, 25, 350, 75078, 452], "tokenizer": "cl100k_base", "tokens_len": 183, "data_type": "boolean", "txt": "Original: \u00ac((\u00acT) \u2228 (\u00acN))\n\nOptions:\n(\u00ac(\u00acT)) \u2227 (\u00ac(\u00acN))\n\u00ac((\u00acN) \u2228 (\u00acT))\nChosen: \u00ac((\u00acN) \u2228 (\u00acT))\n\nOptions:\n(\u00ac(\u00acN)) \u2227 (\u00ac(\u00acT))\nChosen: (\u00ac(\u00acN)) \u2227 (\u00ac(\u00acT))\n\nOptions:\n(\u00ac(\u00acT)) \u2227 (\u00ac(\u00acN))\n(\u00ac(\u00acN)) \u2227 T\nN \u2227 (\u00ac(\u00acT))\nChosen: (\u00ac(\u00acT)) \u2227 (\u00ac(\u00acN))\n\nOptions:\n(\u00ac(\u00acT)) \u2227 N\nT \u2227 (\u00ac(\u00acN))\nChosen: (\u00ac(\u00acT)) \u2227 N\n\nOptions:\nN \u2227 (\u00ac(\u00acT))\nT \u2227 N\nChosen: T \u2227 N", "id": 1554}, {"char_len": 679, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 4489, 3883, 512, 7, 83193, 7, 56, 12264, 101, 507, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 6054, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 56, 8, 75078, 320, 83193, 46, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 46, 12264, 101, 816, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 6774, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 16, 7861, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 4489, 3883, 512, 7, 83193, 7, 56, 12264, 101, 507, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 6054, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 56, 8, 75078, 320, 83193, 46, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 46, 12264, 101, 816, 1192, 16, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 56, 12264, 101, 507, 4489, 3883, 512, 16, 198, 7, 83193, 7, 56, 12264, 101, 507, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 83193, 56, 8, 75078, 320, 83193, 46, 1192, 16, 12264, 101, 320, 83193, 7, 46, 12264, 101, 816, 1192, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 501, "data_type": "boolean", "txt": "Original: ((0 \u2228 0) \u2228 (1 \u2228 1)) \u2228 (\u00ac(Y \u2228 O))\n\nOptions:\n(\u00ac(Y \u2228 O)) \u2228 ((0 \u2228 0) \u2228 (1 \u2228 1))\n(0 \u2228 0) \u2228 ((1 \u2228 1) \u2228 (\u00ac(Y \u2228 O)))\n((0 \u2228 0) \u2228 (1 \u2228 1)) \u2228 ((\u00acY) \u2227 (\u00acO))\n((0 \u2228 0) \u2228 (1 \u2228 1)) \u2228 (\u00ac(O \u2228 Y))\n((1 \u2228 1) \u2228 (0 \u2228 0)) \u2228 (\u00ac(Y \u2228 O))\n(((0 \u2228 0) \u2228 1) \u2228 1) \u2228 (\u00ac(Y \u2228 O))\n(0 \u2228 (0 \u2228 (1 \u2228 1))) \u2228 (\u00ac(Y \u2228 O))\n((0 \u2228 0) \u2228 1) \u2228 (\u00ac(Y \u2228 O))\n(0 \u2228 (1 \u2228 1)) \u2228 (\u00ac(Y \u2228 O))\nChosen: ((0 \u2228 0) \u2228 1) \u2228 (\u00ac(Y \u2228 O))\n\nOptions:\n(\u00ac(Y \u2228 O)) \u2228 ((0 \u2228 0) \u2228 1)\n(0 \u2228 0) \u2228 (1 \u2228 (\u00ac(Y \u2228 O)))\n((0 \u2228 0) \u2228 1) \u2228 ((\u00acY) \u2227 (\u00acO))\n((0 \u2228 0) \u2228 1) \u2228 (\u00ac(O \u2228 Y))\n1 \u2228 (\u00ac(Y \u2228 O))\n(1 \u2228 (0 \u2228 0)) \u2228 (\u00ac(Y \u2228 O))\n(0 \u2228 (0 \u2228 1)) \u2228 (\u00ac(Y \u2228 O))\n(0 \u2228 1) \u2228 (\u00ac(Y \u2228 O))\nChosen: 1 \u2228 (\u00ac(Y \u2228 O))\n\nOptions:\n1\n(\u00ac(Y \u2228 O)) \u2228 1\n1 \u2228 ((\u00acY) \u2227 (\u00acO))\n1 \u2228 (\u00ac(O \u2228 Y))\nChosen: 1", "id": 1555}, {"char_len": 1635, "tokens": [18902, 25, 1819, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 4489, 3883, 512, 1209, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 595, 12264, 101, 1819, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 1192, 7, 15, 12264, 101, 622, 8, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 6054, 6774, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 15, 12264, 101, 1630, 595, 75078, 11861, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 622, 1192, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 622, 8, 75078, 320, 15, 12264, 101, 1630, 1192, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 11861, 15, 12264, 101, 1630, 8, 75078, 220, 15, 8, 75078, 622, 340, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 41, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 320, 15, 75078, 622, 1192, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 55, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 622, 1192, 1209, 83193, 55, 8, 12264, 101, 320, 15, 12264, 101, 622, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 1192, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 1192, 16772, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 1192, 1209, 41, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 320, 15, 75078, 622, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 1630, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 1192, 7, 15, 12264, 101, 622, 8, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 1192, 6774, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 15, 12264, 101, 1630, 595, 75078, 11861, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 340, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 12264, 101, 1630, 1192, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 220, 15, 340, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 55, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 83193, 55, 8, 12264, 101, 320, 15, 12264, 101, 622, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 16772, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1209, 41, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 1630, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 6054, 15, 12264, 101, 1819, 41, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 320, 15, 12264, 101, 1630, 595, 75078, 1819, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 320, 15, 75078, 320, 15, 12264, 101, 1630, 1192, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 320, 55, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1819, 55, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 16772, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1209, 41, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 622, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 220, 15, 271, 3883, 512, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 1192, 15, 12264, 101, 320, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 6054, 15, 12264, 101, 1819, 41, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 340, 16772, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 1209, 41, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 198, 1209, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 622, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 15, 12264, 101, 320, 41, 12264, 101, 320, 83193, 55, 4489, 3883, 512, 41, 12264, 101, 320, 83193, 55, 340, 16772, 12264, 101, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 622, 8, 12264, 101, 320, 83193, 55, 340, 15, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 622, 340, 1163, 8477, 25, 622, 12264, 101, 320, 83193, 55, 8], "tokenizer": "cl100k_base", "tokens_len": 1131, "data_type": "boolean", "txt": "Original: ((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J))\n\nOptions:\n((0 \u2228 X) \u2227 (0 \u2227 J)) \u2228 ((0 \u2228 J) \u2228 (\u00acX))\n(0 \u2228 J) \u2228 ((\u00acX) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J)))\n(((0 \u2228 J) \u2228 (\u00acX)) \u2228 (0 \u2228 X)) \u2227 (((0 \u2228 J) \u2228 (\u00acX)) \u2228 (0 \u2227 J))\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((0 \u2227 J) \u2227 (0 \u2228 X))\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 (((0 \u2228 X) \u2227 0) \u2227 J)\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0)\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 (J \u2227 0))\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 (X \u2227 (0 \u2227 J))\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((X \u2228 0) \u2227 (0 \u2227 J))\n((\u00acX) \u2228 (0 \u2228 J)) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J))\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J))\n(J \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J))\n((J \u2228 0) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 (0 \u2227 J))\nChosen: ((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0)\n\nOptions:\n((0 \u2228 X) \u2227 0) \u2228 ((0 \u2228 J) \u2228 (\u00acX))\n(0 \u2228 J) \u2228 ((\u00acX) \u2228 ((0 \u2228 X) \u2227 0))\n(((0 \u2228 J) \u2228 (\u00acX)) \u2228 (0 \u2228 X)) \u2227 (((0 \u2228 J) \u2228 (\u00acX)) \u2228 0)\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 0\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 (0 \u2227 (0 \u2228 X))\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 (X \u2227 0)\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 ((X \u2228 0) \u2227 0)\n((\u00acX) \u2228 (0 \u2228 J)) \u2228 ((0 \u2228 X) \u2227 0)\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 ((0 \u2228 X) \u2227 0)\n(J \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0)\n((J \u2228 0) \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0)\nChosen: (0 \u2228 (J \u2228 (\u00acX))) \u2228 ((0 \u2228 X) \u2227 0)\n\nOptions:\n((0 \u2228 X) \u2227 0) \u2228 (0 \u2228 (J \u2228 (\u00acX)))\n0 \u2228 ((J \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0))\n((0 \u2228 (J \u2228 (\u00acX))) \u2228 (0 \u2228 X)) \u2227 ((0 \u2228 (J \u2228 (\u00acX))) \u2228 0)\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 0\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 (0 \u2227 (0 \u2228 X))\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 (X \u2227 0)\n(0 \u2228 (J \u2228 (\u00acX))) \u2228 ((X \u2228 0) \u2227 0)\n(J \u2228 (\u00acX)) \u2228 ((0 \u2228 X) \u2227 0)\n((J \u2228 (\u00acX)) \u2228 0) \u2228 ((0 \u2228 X) \u2227 0)\n(0 \u2228 ((\u00acX) \u2228 J)) \u2228 ((0 \u2228 X) \u2227 0)\nChosen: (0 \u2228 (J \u2228 (\u00acX))) \u2228 0\n\nOptions:\n0 \u2228 (J \u2228 (\u00acX))\n0 \u2228 (0 \u2228 (J \u2228 (\u00acX)))\n0 \u2228 ((J \u2228 (\u00acX)) \u2228 0)\n(J \u2228 (\u00acX)) \u2228 0\n((J \u2228 (\u00acX)) \u2228 0) \u2228 0\n((0 \u2228 J) \u2228 (\u00acX)) \u2228 0\n(0 \u2228 ((\u00acX) \u2228 J)) \u2228 0\nChosen: 0 \u2228 (J \u2228 (\u00acX))\n\nOptions:\nJ \u2228 (\u00acX)\n(J \u2228 (\u00acX)) \u2228 0\n(0 \u2228 J) \u2228 (\u00acX)\n0 \u2228 ((\u00acX) \u2228 J)\nChosen: J \u2228 (\u00acX)", "id": 1556}, {"char_len": 1107, "tokens": [18902, 25, 1819, 15, 75078, 468, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 468, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 340, 7, 15, 75078, 468, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 15, 75078, 468, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 15, 75078, 468, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 75078, 468, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 54, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 15, 75078, 468, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 220, 15, 340, 6774, 15, 75078, 468, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 340, 7, 15, 75078, 468, 8, 12264, 101, 320, 15, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 15, 75078, 468, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 15, 75078, 468, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 16, 340, 7, 15, 75078, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 54, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 15, 75078, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 15, 75078, 468, 340, 1209, 15, 75078, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 340, 7, 15, 75078, 468, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 7, 15, 75078, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 16, 340, 15, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 14358, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 15, 75078, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 15, 75078, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 220, 16, 198, 1209, 83193, 54, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 320, 83193, 15, 340, 7, 15, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 220, 15, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 54, 1192, 15, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 320, 83193, 54, 595, 12264, 101, 220, 16, 198, 7, 83193, 54, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 54, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 54, 8, 12264, 101, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 765, "data_type": "boolean", "txt": "Original: ((0 \u2227 W) \u2228 (\u00ac1)) \u2228 ((\u00acW) \u2228 (\u00ac0))\n\nOptions:\n((\u00acW) \u2228 (\u00ac0)) \u2228 ((0 \u2227 W) \u2228 (\u00ac1))\n(((0 \u2227 W) \u2228 (\u00ac1)) \u2228 (\u00acW)) \u2228 (\u00ac0)\n(0 \u2227 W) \u2228 ((\u00ac1) \u2228 ((\u00acW) \u2228 (\u00ac0)))\n((0 \u2227 W) \u2228 (\u00ac1)) \u2228 ((\u00ac0) \u2228 (\u00acW))\n((0 \u2227 W) \u2228 (\u00ac1)) \u2228 ((\u00acW) \u2228 1)\n((\u00ac1) \u2228 (0 \u2227 W)) \u2228 ((\u00acW) \u2228 (\u00ac0))\n((0 \u2227 W) \u2228 0) \u2228 ((\u00acW) \u2228 (\u00ac0))\n(0 \u2228 (\u00ac1)) \u2228 ((\u00acW) \u2228 (\u00ac0))\n((W \u2227 0) \u2228 (\u00ac1)) \u2228 ((\u00acW) \u2228 (\u00ac0))\nChosen: ((0 \u2227 W) \u2228 0) \u2228 ((\u00acW) \u2228 (\u00ac0))\n\nOptions:\n((\u00acW) \u2228 (\u00ac0)) \u2228 ((0 \u2227 W) \u2228 0)\n(((0 \u2227 W) \u2228 0) \u2228 (\u00acW)) \u2228 (\u00ac0)\n(0 \u2227 W) \u2228 (0 \u2228 ((\u00acW) \u2228 (\u00ac0)))\n((0 \u2227 W) \u2228 0) \u2228 ((\u00ac0) \u2228 (\u00acW))\n((0 \u2227 W) \u2228 0) \u2228 ((\u00acW) \u2228 1)\n(0 \u2227 W) \u2228 ((\u00acW) \u2228 (\u00ac0))\n(0 \u2228 (0 \u2227 W)) \u2228 ((\u00acW) \u2228 (\u00ac0))\n(0 \u2228 0) \u2228 ((\u00acW) \u2228 (\u00ac0))\n((W \u2227 0) \u2228 0) \u2228 ((\u00acW) \u2228 (\u00ac0))\nChosen: (0 \u2227 W) \u2228 ((\u00acW) \u2228 (\u00ac0))\n\nOptions:\n((\u00acW) \u2228 (\u00ac0)) \u2228 (0 \u2227 W)\n((0 \u2227 W) \u2228 (\u00acW)) \u2228 (\u00ac0)\n(0 \u2227 W) \u2228 ((\u00ac0) \u2228 (\u00acW))\n(0 \u2227 W) \u2228 ((\u00acW) \u2228 1)\n0 \u2228 ((\u00acW) \u2228 (\u00ac0))\n(W \u2227 0) \u2228 ((\u00acW) \u2228 (\u00ac0))\nChosen: ((0 \u2227 W) \u2228 (\u00acW)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((0 \u2227 W) \u2228 (\u00acW))\n((0 \u2227 W) \u2228 (\u00acW)) \u2228 1\n((\u00acW) \u2228 (0 \u2227 W)) \u2228 (\u00ac0)\n(0 \u2228 (\u00acW)) \u2228 (\u00ac0)\n((W \u2227 0) \u2228 (\u00acW)) \u2228 (\u00ac0)\nChosen: (0 \u2228 (\u00acW)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (0 \u2228 (\u00acW))\n0 \u2228 ((\u00acW) \u2228 (\u00ac0))\n(0 \u2228 (\u00acW)) \u2228 1\n(\u00acW) \u2228 (\u00ac0)\n((\u00acW) \u2228 0) \u2228 (\u00ac0)\nChosen: (\u00acW) \u2228 (\u00ac0)", "id": 1557}, {"char_len": 990, "tokens": [18902, 25, 1819, 57, 12264, 101, 220, 15, 8, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 473, 595, 12264, 101, 1819, 57, 12264, 101, 220, 15, 8, 75078, 320, 57, 75078, 220, 15, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 320, 83193, 39, 340, 1209, 57, 12264, 101, 220, 15, 8, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 1209, 57, 75078, 220, 15, 8, 75078, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 6774, 57, 12264, 101, 220, 15, 8, 75078, 1901, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 1901, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 28955, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 57, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 473, 595, 12264, 101, 1819, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 39, 340, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 15, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 7, 15, 75078, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 28955, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 12264, 101, 220, 15, 595, 12264, 101, 1819, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 39, 8, 75078, 320, 83193, 15, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 39, 340, 15, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 7, 15, 75078, 320, 57, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 28955, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 7, 39, 12264, 101, 220, 15, 4489, 3883, 512, 83193, 7, 39, 12264, 101, 220, 15, 340, 7, 83193, 7, 39, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 198, 15, 12264, 101, 1819, 83193, 39, 8, 75078, 320, 83193, 15, 1192, 15, 12264, 101, 320, 83193, 39, 340, 15, 12264, 101, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 97265, 7, 39, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 39, 8, 75078, 320, 83193, 15, 340, 83193, 39, 198, 83193, 7, 15, 12264, 101, 473, 340, 1163, 8477, 25, 320, 83193, 39, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 701, "data_type": "boolean", "txt": "Original: ((Z \u2228 0) \u2227 (Z \u2227 0)) \u2228 (\u00ac(0 \u2228 H))\n\nOptions:\n(\u00ac(0 \u2228 H)) \u2228 ((Z \u2228 0) \u2227 (Z \u2227 0))\n((Z \u2228 0) \u2227 (Z \u2227 0)) \u2228 ((\u00ac0) \u2227 (\u00acH))\n((Z \u2228 0) \u2227 (Z \u2227 0)) \u2228 (\u00acH)\n((Z \u2228 0) \u2227 (Z \u2227 0)) \u2228 (\u00ac(H \u2228 0))\n((Z \u2227 0) \u2227 (Z \u2228 0)) \u2228 (\u00ac(0 \u2228 H))\n(((Z \u2228 0) \u2227 Z) \u2227 0) \u2228 (\u00ac(0 \u2228 H))\n((Z \u2228 0) \u2227 0) \u2228 (\u00ac(0 \u2228 H))\n((Z \u2228 0) \u2227 (0 \u2227 Z)) \u2228 (\u00ac(0 \u2228 H))\n(Z \u2227 (Z \u2227 0)) \u2228 (\u00ac(0 \u2228 H))\n((0 \u2228 Z) \u2227 (Z \u2227 0)) \u2228 (\u00ac(0 \u2228 H))\nChosen: ((Z \u2228 0) \u2227 0) \u2228 (\u00ac(0 \u2228 H))\n\nOptions:\n(\u00ac(0 \u2228 H)) \u2228 ((Z \u2228 0) \u2227 0)\n((Z \u2228 0) \u2227 0) \u2228 ((\u00ac0) \u2227 (\u00acH))\n((Z \u2228 0) \u2227 0) \u2228 (\u00acH)\n((Z \u2228 0) \u2227 0) \u2228 (\u00ac(H \u2228 0))\n0 \u2228 (\u00ac(0 \u2228 H))\n(0 \u2227 (Z \u2228 0)) \u2228 (\u00ac(0 \u2228 H))\n(Z \u2227 0) \u2228 (\u00ac(0 \u2228 H))\n((0 \u2228 Z) \u2227 0) \u2228 (\u00ac(0 \u2228 H))\nChosen: ((Z \u2228 0) \u2227 0) \u2228 (\u00ac(H \u2228 0))\n\nOptions:\n(\u00ac(H \u2228 0)) \u2228 ((Z \u2228 0) \u2227 0)\n((Z \u2228 0) \u2227 0) \u2228 ((\u00acH) \u2227 (\u00ac0))\n((Z \u2228 0) \u2227 0) \u2228 (\u00acH)\n0 \u2228 (\u00ac(H \u2228 0))\n(0 \u2227 (Z \u2228 0)) \u2228 (\u00ac(H \u2228 0))\n(Z \u2227 0) \u2228 (\u00ac(H \u2228 0))\n((0 \u2228 Z) \u2227 0) \u2228 (\u00ac(H \u2228 0))\nChosen: 0 \u2228 (\u00ac(H \u2228 0))\n\nOptions:\n\u00ac(H \u2228 0)\n(\u00ac(H \u2228 0)) \u2228 0\n0 \u2228 ((\u00acH) \u2227 (\u00ac0))\n0 \u2228 (\u00acH)\n0 \u2228 (\u00ac(0 \u2228 H))\nChosen: \u00ac(H \u2228 0)\n\nOptions:\n(\u00acH) \u2227 (\u00ac0)\n\u00acH\n\u00ac(0 \u2228 H)\nChosen: (\u00acH) \u2227 (\u00ac0)", "id": 1558}, {"char_len": 1497, "tokens": [18902, 25, 320, 83193, 7, 83193, 16, 595, 75078, 1819, 47, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 47, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 393, 595, 75078, 320, 47, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 47, 12264, 101, 220, 16, 8, 75078, 320, 47, 75078, 393, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 6054, 7, 83193, 7, 83193, 16, 595, 75078, 11861, 47, 75078, 393, 8, 75078, 393, 8, 12264, 101, 1819, 47, 75078, 393, 8, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 47, 75078, 393, 8, 75078, 220, 16, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 47, 75078, 393, 8, 75078, 320, 16, 12264, 101, 393, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 1192, 16, 75078, 1819, 47, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 47, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 19789, 3883, 512, 5417, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 393, 8, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 47, 75078, 320, 47, 12264, 101, 220, 16, 595, 75078, 393, 340, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 1819, 47, 12264, 101, 220, 16, 8, 75078, 393, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 393, 8, 12264, 101, 320, 47, 75078, 220, 16, 6054, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 320, 47, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 47, 75078, 320, 47, 75078, 320, 16, 12264, 101, 393, 6054, 16, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 6054, 7, 83193, 15, 8, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 19789, 3883, 512, 5417, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 393, 8, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 47, 75078, 320, 47, 12264, 101, 220, 16, 595, 75078, 393, 340, 7, 83193, 15, 8, 75078, 1819, 47, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 75078, 320, 47, 75078, 1819, 47, 12264, 101, 220, 16, 8, 75078, 393, 1192, 7, 83193, 15, 8, 75078, 320, 47, 75078, 1819, 47, 75078, 393, 8, 12264, 101, 320, 47, 75078, 220, 16, 6054, 7, 83193, 15, 8, 75078, 320, 47, 75078, 320, 47, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 320, 47, 75078, 320, 47, 75078, 320, 16, 12264, 101, 393, 6054, 16, 75078, 320, 47, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 393, 8, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 4489, 3883, 512, 5417, 75078, 320, 47, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 393, 340, 6774, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 75078, 393, 8, 75078, 1819, 47, 12264, 101, 220, 16, 8, 75078, 393, 340, 1209, 83193, 15, 8, 75078, 393, 8, 75078, 1819, 47, 75078, 393, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 393, 8, 75078, 320, 47, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 393, 8, 75078, 320, 47, 75078, 320, 16, 12264, 101, 393, 1192, 5417, 75078, 320, 83193, 15, 595, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 1192, 7, 16, 75078, 393, 8, 75078, 320, 47, 75078, 320, 47, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 11861, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 696, 3883, 512, 5417, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 15, 8, 75078, 393, 8, 75078, 393, 340, 67944, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 393, 8, 12264, 101, 52200, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 220, 16, 198, 6774, 83193, 15, 8, 75078, 393, 8, 75078, 393, 8, 75078, 320, 16, 12264, 101, 393, 340, 5417, 75078, 1819, 83193, 15, 8, 75078, 393, 595, 75078, 320, 47, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 47, 75078, 393, 595, 75078, 320, 47, 12264, 101, 220, 16, 340, 1209, 47, 75078, 320, 83193, 15, 595, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 340, 1209, 16, 75078, 393, 8, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 393, 8, 75078, 393, 8, 75078, 320, 47, 12264, 101, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 938, "data_type": "boolean", "txt": "Original: (\u00ac(\u00ac1)) \u2227 ((P \u2227 P) \u2227 (P \u2228 1))\n\nOptions:\n((P \u2227 P) \u2227 (P \u2228 1)) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 (P \u2227 P)) \u2227 (P \u2228 1)\n(\u00ac(\u00ac1)) \u2227 ((P \u2228 1) \u2227 (P \u2227 P))\n(\u00ac(\u00ac1)) \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\n(\u00ac(\u00ac1)) \u2227 (((P \u2227 P) \u2227 P) \u2228 ((P \u2227 P) \u2227 1))\n(\u00ac(\u00ac1)) \u2227 ((P \u2227 P) \u2227 1)\n(\u00ac(\u00ac1)) \u2227 ((P \u2227 P) \u2227 (1 \u2228 P))\n(\u00ac(\u00ac1)) \u2227 (P \u2227 (P \u2228 1))\n1 \u2227 ((P \u2227 P) \u2227 (P \u2228 1))\n(\u00ac0) \u2227 ((P \u2227 P) \u2227 (P \u2228 1))\nChosen: (\u00ac(\u00ac1)) \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\n\nOptions:\n(P \u2227 (P \u2227 (P \u2228 1))) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 P) \u2227 (P \u2227 (P \u2228 1))\n(\u00ac(\u00ac1)) \u2227 ((P \u2227 (P \u2228 1)) \u2227 P)\n(\u00ac(\u00ac1)) \u2227 (P \u2227 ((P \u2228 1) \u2227 P))\n(\u00ac(\u00ac1)) \u2227 (P \u2227 ((P \u2227 P) \u2228 (P \u2227 1)))\n(\u00ac(\u00ac1)) \u2227 (P \u2227 (P \u2227 1))\n(\u00ac(\u00ac1)) \u2227 (P \u2227 (P \u2227 (1 \u2228 P)))\n1 \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\n(\u00ac0) \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\nChosen: (\u00ac0) \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\n\nOptions:\n(P \u2227 (P \u2227 (P \u2228 1))) \u2227 (\u00ac0)\n((\u00ac0) \u2227 P) \u2227 (P \u2227 (P \u2228 1))\n(\u00ac0) \u2227 ((P \u2227 (P \u2228 1)) \u2227 P)\n(\u00ac0) \u2227 ((P \u2227 P) \u2227 (P \u2228 1))\n(\u00ac0) \u2227 (P \u2227 ((P \u2228 1) \u2227 P))\n(\u00ac0) \u2227 (P \u2227 ((P \u2227 P) \u2228 (P \u2227 1)))\n(\u00ac0) \u2227 (P \u2227 (P \u2227 1))\n(\u00ac0) \u2227 (P \u2227 (P \u2227 (1 \u2228 P)))\n1 \u2227 (P \u2227 (P \u2227 (P \u2228 1)))\nChosen: ((\u00ac0) \u2227 P) \u2227 (P \u2227 (P \u2228 1))\n\nOptions:\n(P \u2227 (P \u2228 1)) \u2227 ((\u00ac0) \u2227 P)\n(((\u00ac0) \u2227 P) \u2227 P) \u2227 (P \u2228 1)\n((\u00ac0) \u2227 P) \u2227 ((P \u2228 1) \u2227 P)\n((\u00ac0) \u2227 P) \u2227 ((P \u2227 P) \u2228 (P \u2227 1))\n((\u00ac0) \u2227 P) \u2227 (P \u2227 1)\n((\u00ac0) \u2227 P) \u2227 (P \u2227 (1 \u2228 P))\n(P \u2227 (\u00ac0)) \u2227 (P \u2227 (P \u2228 1))\n(1 \u2227 P) \u2227 (P \u2227 (P \u2228 1))\nChosen: (((\u00ac0) \u2227 P) \u2227 P) \u2227 (P \u2228 1)\n\nOptions:\n(P \u2228 1) \u2227 (((\u00ac0) \u2227 P) \u2227 P)\n((((\u00ac0) \u2227 P) \u2227 P) \u2227 P) \u2228 ((((\u00ac0) \u2227 P) \u2227 P) \u2227 1)\n(((\u00ac0) \u2227 P) \u2227 P) \u2227 1\n(((\u00ac0) \u2227 P) \u2227 P) \u2227 (1 \u2228 P)\n(P \u2227 ((\u00ac0) \u2227 P)) \u2227 (P \u2228 1)\n((\u00ac0) \u2227 (P \u2227 P)) \u2227 (P \u2228 1)\n((P \u2227 (\u00ac0)) \u2227 P) \u2227 (P \u2228 1)\n((1 \u2227 P) \u2227 P) \u2227 (P \u2228 1)\nChosen: ((1 \u2227 P) \u2227 P) \u2227 (P \u2228 1)", "id": 1559}, {"char_len": 462, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 650, 1192, 83193, 1209, 16, 75078, 650, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 6774, 15, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 650, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 650, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 53, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 75078, 650, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 650, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 220, 16, 8, 75078, 650, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 53, 340, 83193, 7, 53, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 650, 340, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 650, 340, 1163, 8477, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 75078, 650, 696, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 53, 340, 83193, 7, 53, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 75078, 650, 340, 1163, 8477, 25, 97265, 7, 16, 75078, 650, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 53, 340, 83193, 53, 198, 83193, 7, 53, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 53, 696, 3883, 512, 7, 83193, 53, 8, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 320, 83193, 53, 340, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 53, 8], "tokenizer": "cl100k_base", "tokens_len": 295, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 1) \u2227 (1 \u2227 V))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 (\u00ac(1 \u2227 V))\n\u00ac((1 \u2227 V) \u2227 (0 \u2228 1))\n\u00ac(((0 \u2228 1) \u2227 1) \u2227 V)\n\u00ac((0 \u2228 1) \u2227 V)\n\u00ac((0 \u2228 1) \u2227 (V \u2227 1))\n\u00ac(1 \u2227 (1 \u2227 V))\n\u00ac((1 \u2228 0) \u2227 (1 \u2227 V))\nChosen: \u00ac((0 \u2228 1) \u2227 V)\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 (\u00acV)\n\u00ac(V \u2227 (0 \u2228 1))\n\u00ac(1 \u2227 V)\n\u00ac((1 \u2228 0) \u2227 V)\nChosen: \u00ac((1 \u2228 0) \u2227 V)\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (\u00acV)\n\u00ac(V \u2227 (1 \u2228 0))\n\u00ac(1 \u2227 V)\nChosen: \u00ac(1 \u2227 V)\n\nOptions:\n(\u00ac1) \u2228 (\u00acV)\n\u00acV\n\u00ac(V \u2227 1)\nChosen: (\u00ac1) \u2228 (\u00acV)\n\nOptions:\n(\u00acV) \u2228 (\u00ac1)\n0 \u2228 (\u00acV)\nChosen: 0 \u2228 (\u00acV)", "id": 1560}, {"char_len": 765, "tokens": [18902, 25, 320, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 57, 75078, 1901, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 57, 75078, 1901, 595, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 1209, 83193, 7, 83193, 40, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 57, 75078, 1901, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 57, 75078, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 1901, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1901, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1901, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 1901, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 57, 75078, 1901, 1192, 40, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 57, 75078, 1901, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 40, 595, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 1901, 4489, 3883, 512, 7, 15, 12264, 101, 320, 57, 75078, 1901, 595, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 1209, 83193, 7, 83193, 40, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 1901, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 57, 75078, 1901, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 57, 75078, 1901, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 15, 12264, 101, 1901, 340, 40, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 1901, 1192, 1163, 8477, 25, 358, 12264, 101, 320, 15, 12264, 101, 320, 57, 75078, 1901, 4489, 3883, 512, 7, 15, 12264, 101, 320, 57, 75078, 1901, 595, 12264, 101, 358, 198, 9149, 12264, 101, 220, 15, 8, 12264, 101, 320, 57, 75078, 1901, 340, 40, 12264, 101, 320, 57, 75078, 1901, 340, 40, 12264, 101, 1819, 57, 75078, 1901, 8, 12264, 101, 220, 15, 340, 40, 12264, 101, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 40, 12264, 101, 320, 15, 12264, 101, 1901, 340, 1163, 8477, 25, 358, 12264, 101, 320, 15, 12264, 101, 1901, 696, 3883, 512, 7, 15, 12264, 101, 1901, 8, 12264, 101, 358, 198, 9149, 12264, 101, 220, 15, 8, 12264, 101, 1901, 198, 40, 12264, 101, 1901, 198, 40, 12264, 101, 320, 57, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 15, 12264, 101, 1901, 8, 12264, 101, 358, 271, 3883, 512, 15, 12264, 101, 320, 57, 12264, 101, 358, 340, 57, 12264, 101, 358, 198, 28955, 12264, 101, 220, 15, 8, 12264, 101, 358, 198, 1163, 8477, 25, 1901, 12264, 101, 358], "tokenizer": "cl100k_base", "tokens_len": 508, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acI)) \u2228 ((1 \u2227 0) \u2228 (Z \u2227 Z))\n\nOptions:\n((1 \u2227 0) \u2228 (Z \u2227 Z)) \u2228 (\u00ac(\u00acI))\n((\u00ac(\u00acI)) \u2228 (1 \u2227 0)) \u2228 (Z \u2227 Z)\n(\u00ac(\u00acI)) \u2228 ((Z \u2227 Z) \u2228 (1 \u2227 0))\n(\u00ac(\u00acI)) \u2228 (((1 \u2227 0) \u2228 Z) \u2227 ((1 \u2227 0) \u2228 Z))\n(\u00ac(\u00acI)) \u2228 ((1 \u2227 0) \u2228 Z)\n(\u00ac(\u00acI)) \u2228 (0 \u2228 (Z \u2227 Z))\n(\u00ac(\u00acI)) \u2228 ((0 \u2227 1) \u2228 (Z \u2227 Z))\nI \u2228 ((1 \u2227 0) \u2228 (Z \u2227 Z))\nChosen: (\u00ac(\u00acI)) \u2228 (0 \u2228 (Z \u2227 Z))\n\nOptions:\n(0 \u2228 (Z \u2227 Z)) \u2228 (\u00ac(\u00acI))\n((\u00ac(\u00acI)) \u2228 0) \u2228 (Z \u2227 Z)\n(\u00ac(\u00acI)) \u2228 (Z \u2227 Z)\n(\u00ac(\u00acI)) \u2228 ((Z \u2227 Z) \u2228 0)\n(\u00ac(\u00acI)) \u2228 ((0 \u2228 Z) \u2227 (0 \u2228 Z))\n(\u00ac(\u00acI)) \u2228 (0 \u2228 Z)\nI \u2228 (0 \u2228 (Z \u2227 Z))\nChosen: I \u2228 (0 \u2228 (Z \u2227 Z))\n\nOptions:\n(0 \u2228 (Z \u2227 Z)) \u2228 I\n(I \u2228 0) \u2228 (Z \u2227 Z)\nI \u2228 (Z \u2227 Z)\nI \u2228 ((Z \u2227 Z) \u2228 0)\nI \u2228 ((0 \u2228 Z) \u2227 (0 \u2228 Z))\nI \u2228 (0 \u2228 Z)\nChosen: I \u2228 (0 \u2228 Z)\n\nOptions:\n(0 \u2228 Z) \u2228 I\n(I \u2228 0) \u2228 Z\nI \u2228 Z\nI \u2228 (Z \u2228 0)\nChosen: (0 \u2228 Z) \u2228 I\n\nOptions:\n0 \u2228 (Z \u2228 I)\nZ \u2228 I\n(Z \u2228 0) \u2228 I\nChosen: Z \u2228 I", "id": 1561}, {"char_len": 369, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 735, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 735, 595, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 42, 1192, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 42, 340, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 42, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 735, 1192, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 735, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 42, 696, 3883, 512, 7, 83193, 42, 8, 75078, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 42, 340, 7, 83193, 15, 8, 75078, 320, 83193, 42, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 320, 83193, 42, 696, 3883, 512, 7, 83193, 42, 8, 75078, 320, 83193, 15, 340, 16, 75078, 320, 83193, 42, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 42, 696, 3883, 512, 83193, 42, 198, 7, 83193, 42, 8, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 42], "tokenizer": "cl100k_base", "tokens_len": 231, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 0)) \u2227 (\u00ac(0 \u2228 K))\n\nOptions:\n(\u00ac(0 \u2228 K)) \u2227 (\u00ac(0 \u2227 0))\n(\u00ac(0 \u2227 0)) \u2227 ((\u00ac0) \u2227 (\u00acK))\n(\u00ac(0 \u2227 0)) \u2227 (\u00acK)\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac(K \u2228 0))\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00ac(0 \u2228 K))\n(\u00ac0) \u2227 (\u00ac(0 \u2228 K))\nChosen: (\u00ac(0 \u2227 0)) \u2227 (\u00acK)\n\nOptions:\n(\u00acK) \u2227 (\u00ac(0 \u2227 0))\n((\u00ac0) \u2228 (\u00ac0)) \u2227 (\u00acK)\n(\u00ac0) \u2227 (\u00acK)\nChosen: (\u00ac0) \u2227 (\u00acK)\n\nOptions:\n(\u00acK) \u2227 (\u00ac0)\n1 \u2227 (\u00acK)\nChosen: 1 \u2227 (\u00acK)\n\nOptions:\n\u00acK\n(\u00acK) \u2227 1\nChosen: \u00acK", "id": 1562}, {"char_len": 106, "tokens": [18902, 25, 97265, 7, 83193, 7, 32, 75078, 220, 16, 4489, 3883, 512, 32, 75078, 220, 16, 198, 83193, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 7, 83193, 32, 340, 83193, 7, 83193, 7, 16, 75078, 362, 1192, 1163, 8477, 25, 97265, 7, 83193, 32, 696, 3883, 512, 32, 198, 1163, 8477, 25, 362], "tokenizer": "cl100k_base", "tokens_len": 58, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(A \u2227 1))\n\nOptions:\nA \u2227 1\n\u00ac((\u00acA) \u2228 (\u00ac1))\n\u00ac(\u00acA)\n\u00ac(\u00ac(1 \u2227 A))\nChosen: \u00ac(\u00acA)\n\nOptions:\nA\nChosen: A", "id": 1563}, {"char_len": 1821, "tokens": [18902, 25, 1819, 83193, 57, 8, 75078, 320, 16, 75078, 386, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 4489, 3883, 512, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 16, 75078, 386, 1192, 6774, 83193, 57, 8, 75078, 320, 16, 75078, 386, 595, 75078, 320, 44, 12264, 101, 220, 15, 595, 75078, 320, 83193, 57, 340, 7, 83193, 57, 8, 75078, 1819, 16, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 6054, 1209, 83193, 57, 8, 75078, 320, 16, 75078, 386, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 44, 12264, 101, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 320, 16, 75078, 386, 595, 75078, 320, 44, 75078, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 75078, 320, 16, 75078, 386, 595, 75078, 1819, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 1192, 1209, 16, 75078, 386, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 75078, 320, 44, 75078, 220, 16, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 4489, 3883, 512, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 67944, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 320, 44, 12264, 101, 220, 15, 595, 75078, 320, 83193, 57, 340, 1209, 83193, 57, 8, 75078, 220, 16, 8, 75078, 320, 44, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 6054, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 44, 12264, 101, 220, 15, 1192, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 320, 44, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 1819, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 1192, 3269, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1209, 83193, 57, 8, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1209, 16, 75078, 320, 83193, 57, 595, 75078, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 696, 3883, 512, 6774, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 595, 75078, 386, 198, 3269, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 57, 8, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 1192, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 320, 44, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 16, 75078, 386, 1192, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 386, 340, 1209, 44, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 320, 83193, 57, 595, 75078, 386, 340, 1209, 83193, 57, 8, 75078, 320, 44, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 3269, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 1209, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 696, 3883, 512, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 1819, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 1192, 6774, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 595, 75078, 386, 198, 7, 15, 12264, 101, 386, 8, 75078, 1819, 83193, 57, 8, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 1192, 1209, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 320, 44, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 16, 75078, 386, 1192, 1209, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 386, 340, 1209, 15, 12264, 101, 386, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 320, 83193, 57, 595, 75078, 386, 340, 1209, 83193, 57, 8, 75078, 320, 15, 12264, 101, 386, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 3269, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 1163, 8477, 25, 320, 44, 75078, 320, 83193, 57, 595, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 696, 3883, 512, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8, 75078, 320, 44, 75078, 320, 83193, 57, 1192, 1209, 44, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 595, 75078, 386, 198, 44, 75078, 1819, 83193, 57, 8, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 1192, 3269, 75078, 320, 83193, 57, 595, 75078, 320, 44, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 1192, 3269, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 16, 75078, 386, 1192, 3269, 75078, 320, 83193, 57, 595, 75078, 1819, 83193, 57, 8, 75078, 386, 340, 3269, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 320, 83193, 57, 595, 75078, 386, 340, 1209, 83193, 57, 8, 75078, 386, 8, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 340, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 386, 8, 75078, 11861, 83193, 57, 8, 75078, 220, 16, 8, 75078, 386, 8], "tokenizer": "cl100k_base", "tokens_len": 1125, "data_type": "boolean", "txt": "Original: ((\u00acZ) \u2227 (1 \u2227 M)) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n\nOptions:\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 (1 \u2227 M))\n(((\u00acZ) \u2227 (1 \u2227 M)) \u2227 (M \u2228 0)) \u2227 (\u00acZ)\n(\u00acZ) \u2227 ((1 \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ)))\n((\u00acZ) \u2227 (1 \u2227 M)) \u2227 ((\u00acZ) \u2227 (M \u2228 0))\n((\u00acZ) \u2227 (1 \u2227 M)) \u2227 (M \u2227 (\u00acZ))\n((\u00acZ) \u2227 (1 \u2227 M)) \u2227 ((0 \u2228 M) \u2227 (\u00acZ))\n((1 \u2227 M) \u2227 (\u00acZ)) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n((\u00acZ) \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n((\u00acZ) \u2227 (M \u2227 1)) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\nChosen: (((\u00acZ) \u2227 1) \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n\nOptions:\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n((((\u00acZ) \u2227 1) \u2227 M) \u2227 (M \u2228 0)) \u2227 (\u00acZ)\n((\u00acZ) \u2227 1) \u2227 (M \u2227 ((M \u2228 0) \u2227 (\u00acZ)))\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 ((\u00acZ) \u2227 (M \u2228 0))\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 (M \u2227 (\u00acZ))\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 ((0 \u2228 M) \u2227 (\u00acZ))\n(M \u2227 ((\u00acZ) \u2227 1)) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n((\u00acZ) \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\n((1 \u2227 (\u00acZ)) \u2227 M) \u2227 ((M \u2228 0) \u2227 (\u00acZ))\nChosen: ((M \u2228 0) \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n\nOptions:\n(((M \u2228 0) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 1)) \u2227 M\n(M \u2228 0) \u2227 ((\u00acZ) \u2227 (((\u00acZ) \u2227 1) \u2227 M))\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 (M \u2227 ((\u00acZ) \u2227 1))\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 (1 \u2227 M))\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 M)\n((M \u2228 0) \u2227 (\u00acZ)) \u2227 ((1 \u2227 (\u00acZ)) \u2227 M)\n((\u00acZ) \u2227 (M \u2228 0)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n(M \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n((0 \u2228 M) \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\nChosen: ((0 \u2228 M) \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n\nOptions:\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 ((0 \u2228 M) \u2227 (\u00acZ))\n(((0 \u2228 M) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 1)) \u2227 M\n(0 \u2228 M) \u2227 ((\u00acZ) \u2227 (((\u00acZ) \u2227 1) \u2227 M))\n((0 \u2228 M) \u2227 (\u00acZ)) \u2227 (M \u2227 ((\u00acZ) \u2227 1))\n((0 \u2228 M) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 (1 \u2227 M))\n((0 \u2228 M) \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 M)\n((0 \u2228 M) \u2227 (\u00acZ)) \u2227 ((1 \u2227 (\u00acZ)) \u2227 M)\n((\u00acZ) \u2227 (0 \u2228 M)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n(M \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\nChosen: (M \u2227 (\u00acZ)) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\n\nOptions:\n(((\u00acZ) \u2227 1) \u2227 M) \u2227 (M \u2227 (\u00acZ))\n((M \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 1)) \u2227 M\nM \u2227 ((\u00acZ) \u2227 (((\u00acZ) \u2227 1) \u2227 M))\n(M \u2227 (\u00acZ)) \u2227 (M \u2227 ((\u00acZ) \u2227 1))\n(M \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 (1 \u2227 M))\n(M \u2227 (\u00acZ)) \u2227 ((\u00acZ) \u2227 M)\n(M \u2227 (\u00acZ)) \u2227 ((1 \u2227 (\u00acZ)) \u2227 M)\n((\u00acZ) \u2227 M) \u2227 (((\u00acZ) \u2227 1) \u2227 M)\nChosen: ((\u00acZ) \u2227 M) \u2227 (((\u00acZ) \u2227 1) \u2227 M)", "id": 1564}, {"char_len": 1830, "tokens": [18902, 25, 1819, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 1192, 6774, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 15, 595, 75078, 320, 40, 75078, 220, 16, 340, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 11861, 83193, 15, 8, 75078, 358, 8, 75078, 220, 16, 340, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 358, 340, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 358, 1192, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 358, 8, 12264, 101, 320, 15, 75078, 1630, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 6774, 15, 75078, 1630, 8, 12264, 101, 1630, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 40, 12264, 101, 1630, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 55, 75078, 220, 15, 8, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 1192, 1209, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 83193, 15, 595, 75078, 320, 40, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 11861, 83193, 15, 8, 75078, 358, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 358, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 358, 1192, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 7799, 12264, 101, 358, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 358, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 1630, 8, 12264, 101, 358, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 40, 12264, 101, 1630, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 4489, 3883, 512, 7, 16, 75078, 320, 40, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 1192, 1209, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 220, 16, 8, 75078, 320, 40, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 40, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 16, 75078, 358, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 358, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 320, 16, 75078, 358, 1192, 7799, 12264, 101, 358, 8, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 358, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 1630, 8, 12264, 101, 358, 8, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 40, 12264, 101, 1630, 595, 75078, 320, 16, 75078, 320, 40, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 1209, 40, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 1192, 1209, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 40, 75078, 220, 16, 595, 75078, 220, 16, 198, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 40, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 40, 75078, 320, 16, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 1819, 16, 75078, 358, 8, 75078, 220, 16, 340, 7799, 12264, 101, 358, 8, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 55, 12264, 101, 358, 8, 12264, 101, 220, 15, 8, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 15, 12264, 101, 1630, 8, 12264, 101, 358, 8, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 40, 12264, 101, 1630, 595, 75078, 1819, 40, 75078, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 40, 75078, 220, 16, 696, 3883, 512, 9149, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 55, 12264, 101, 358, 1192, 1209, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 358, 8, 75078, 220, 16, 198, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 358, 198, 7, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 320, 16, 75078, 358, 340, 7799, 12264, 101, 358, 8, 75078, 320, 40, 75078, 220, 16, 340, 1209, 55, 12264, 101, 358, 8, 12264, 101, 220, 15, 8, 75078, 320, 40, 75078, 220, 16, 340, 1209, 15, 12264, 101, 1630, 8, 12264, 101, 358, 8, 75078, 320, 40, 75078, 220, 16, 340, 7, 15, 12264, 101, 320, 40, 12264, 101, 1630, 595, 75078, 320, 40, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 320, 55, 12264, 101, 358, 595, 75078, 358, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1185, "data_type": "boolean", "txt": "Original: ((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n\nOptions:\n((\u00ac0) \u2227 (I \u2227 1)) \u2227 ((0 \u2227 X) \u2228 (X \u2228 I))\n(((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 (\u00ac0)) \u2227 (I \u2227 1)\n((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 ((I \u2227 1) \u2227 (\u00ac0))\n((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 (((\u00ac0) \u2227 I) \u2227 1)\n((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 I)\n((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (1 \u2227 I))\n((0 \u2227 X) \u2228 (X \u2228 I)) \u2227 (1 \u2227 (I \u2227 1))\n((X \u2228 I) \u2228 (0 \u2227 X)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n(((0 \u2227 X) \u2228 X) \u2228 I) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n((0 \u2227 X) \u2228 (I \u2228 X)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n(0 \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n((X \u2227 0) \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\nChosen: (0 \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n\nOptions:\n((\u00ac0) \u2227 (I \u2227 1)) \u2227 (0 \u2228 (X \u2228 I))\n((0 \u2228 (X \u2228 I)) \u2227 (\u00ac0)) \u2227 (I \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 ((I \u2227 1) \u2227 (\u00ac0))\n(0 \u2228 (X \u2228 I)) \u2227 (((\u00ac0) \u2227 I) \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 I)\n(0 \u2228 (X \u2228 I)) \u2227 ((\u00ac0) \u2227 (1 \u2227 I))\n(0 \u2228 (X \u2228 I)) \u2227 (1 \u2227 (I \u2227 1))\n(X \u2228 I) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n((X \u2228 I) \u2228 0) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n((0 \u2228 X) \u2228 I) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\n(0 \u2228 (I \u2228 X)) \u2227 ((\u00ac0) \u2227 (I \u2227 1))\nChosen: (0 \u2228 (X \u2228 I)) \u2227 (1 \u2227 (I \u2227 1))\n\nOptions:\n(1 \u2227 (I \u2227 1)) \u2227 (0 \u2228 (X \u2228 I))\n((0 \u2228 (X \u2228 I)) \u2227 1) \u2227 (I \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 (I \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 ((I \u2227 1) \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 ((1 \u2227 I) \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 (1 \u2227 I)\n(0 \u2228 (X \u2228 I)) \u2227 (1 \u2227 (1 \u2227 I))\n(X \u2228 I) \u2227 (1 \u2227 (I \u2227 1))\n((X \u2228 I) \u2228 0) \u2227 (1 \u2227 (I \u2227 1))\n((0 \u2228 X) \u2228 I) \u2227 (1 \u2227 (I \u2227 1))\n(0 \u2228 (I \u2228 X)) \u2227 (1 \u2227 (I \u2227 1))\nChosen: (0 \u2228 (X \u2228 I)) \u2227 ((I \u2227 1) \u2227 1)\n\nOptions:\n((I \u2227 1) \u2227 1) \u2227 (0 \u2228 (X \u2228 I))\n((0 \u2228 (X \u2228 I)) \u2227 (I \u2227 1)) \u2227 1\n(0 \u2228 (X \u2228 I)) \u2227 (I \u2227 1)\n(0 \u2228 (X \u2228 I)) \u2227 (I \u2227 (1 \u2227 1))\n(0 \u2228 (X \u2228 I)) \u2227 ((1 \u2227 I) \u2227 1)\n(X \u2228 I) \u2227 ((I \u2227 1) \u2227 1)\n((X \u2228 I) \u2228 0) \u2227 ((I \u2227 1) \u2227 1)\n((0 \u2228 X) \u2228 I) \u2227 ((I \u2227 1) \u2227 1)\n(0 \u2228 (I \u2228 X)) \u2227 ((I \u2227 1) \u2227 1)\nChosen: (0 \u2228 (X \u2228 I)) \u2227 (I \u2227 1)\n\nOptions:\n(I \u2227 1) \u2227 (0 \u2228 (X \u2228 I))\n((0 \u2228 (X \u2228 I)) \u2227 I) \u2227 1\n(0 \u2228 (X \u2228 I)) \u2227 I\n(0 \u2228 (X \u2228 I)) \u2227 (1 \u2227 I)\n(X \u2228 I) \u2227 (I \u2227 1)\n((X \u2228 I) \u2228 0) \u2227 (I \u2227 1)\n((0 \u2228 X) \u2228 I) \u2227 (I \u2227 1)\n(0 \u2228 (I \u2228 X)) \u2227 (I \u2227 1)\nChosen: ((0 \u2228 (X \u2228 I)) \u2227 I) \u2227 1", "id": 1565}, {"char_len": 2292, "tokens": [18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 39, 75078, 220, 16, 4489, 3883, 512, 1209, 50, 12264, 101, 220, 15, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 39, 75078, 220, 16, 6054, 6774, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 50, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 39, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 1819, 39, 75078, 220, 16, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 11861, 50, 12264, 101, 220, 15, 8, 75078, 473, 8, 75078, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 1819, 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75078, 473, 4489, 3883, 512, 3844, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 6054, 6774, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 328, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 16, 75078, 473, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 1819, 16, 75078, 473, 8, 75078, 328, 340, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 1819, 50, 75078, 220, 16, 8, 75078, 473, 340, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 50, 75078, 473, 340, 1209, 83193, 16, 8, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 50, 75078, 320, 39, 75078, 220, 16, 1192, 1209, 50, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 6774, 83193, 16, 8, 12264, 101, 328, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 473, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 39, 75078, 328, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 7, 15, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 19789, 3883, 512, 1209, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 7861, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 50, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 11861, 50, 75078, 473, 8, 12264, 101, 328, 8, 75078, 1819, 50, 75078, 473, 8, 12264, 101, 320, 16, 75078, 473, 6054, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 16, 75078, 473, 8, 75078, 328, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 50, 75078, 220, 16, 8, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 39, 75078, 220, 16, 6054, 7, 83193, 16, 8, 12264, 101, 1819, 39, 75078, 328, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 6054, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 6054, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 19789, 3883, 512, 3844, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 1209, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 7861, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 50, 75078, 473, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 1192, 15, 12264, 101, 1819, 50, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 50, 75078, 473, 1192, 15, 12264, 101, 11861, 50, 75078, 473, 8, 12264, 101, 328, 8, 75078, 1819, 50, 75078, 473, 8, 12264, 101, 320, 16, 75078, 473, 6054, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 16, 75078, 473, 8, 75078, 328, 1192, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 50, 75078, 220, 16, 8, 75078, 473, 1192, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 473, 1192, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 320, 50, 75078, 320, 39, 75078, 220, 16, 6054, 15, 12264, 101, 1819, 39, 75078, 328, 8, 12264, 101, 320, 50, 75078, 320, 16, 75078, 473, 6054, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 50, 75078, 473, 8, 12264, 101, 1819, 16, 75078, 473, 8, 75078, 328, 595], "tokenizer": "cl100k_base", "tokens_len": 1461, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 (H \u2227 1))\n\nOptions:\n((S \u2228 0) \u2227 (H \u2227 1)) \u2228 ((\u00ac1) \u2228 (S \u2227 H))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 ((S \u2228 0) \u2227 (H \u2227 1)))\n(((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2228 0)) \u2227 (((\u00ac1) \u2228 (S \u2227 H)) \u2228 (H \u2227 1))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((H \u2227 1) \u2227 (S \u2228 0))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (((S \u2228 0) \u2227 H) \u2227 1)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 H)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2227 (H \u2227 1))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((0 \u2228 S) \u2227 (H \u2227 1))\n((S \u2227 H) \u2228 (\u00ac1)) \u2228 ((S \u2228 0) \u2227 (H \u2227 1))\n(((\u00ac1) \u2228 S) \u2227 ((\u00ac1) \u2228 H)) \u2228 ((S \u2228 0) \u2227 (H \u2227 1))\n((\u00ac1) \u2228 (H \u2227 S)) \u2228 ((S \u2228 0) \u2227 (H \u2227 1))\n(0 \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 (H \u2227 1))\nChosen: ((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\n\nOptions:\n((S \u2228 0) \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (S \u2227 H))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H)))\n(((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2228 0)) \u2227 (((\u00ac1) \u2228 (S \u2227 H)) \u2228 (1 \u2227 H))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((1 \u2227 H) \u2227 (S \u2228 0))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (((S \u2228 0) \u2227 1) \u2227 H)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 H)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2227 (1 \u2227 H))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((0 \u2228 S) \u2227 (1 \u2227 H))\n((S \u2227 H) \u2228 (\u00ac1)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\n(((\u00ac1) \u2228 S) \u2227 ((\u00ac1) \u2228 H)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\n((\u00ac1) \u2228 (H \u2227 S)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\n(0 \u2228 (S \u2227 H)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 H))\nChosen: ((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2227 (1 \u2227 H))\n\nOptions:\n(S \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (S \u2227 H))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H)))\n(((\u00ac1) \u2228 (S \u2227 H)) \u2228 S) \u2227 (((\u00ac1) \u2228 (S \u2227 H)) \u2228 (1 \u2227 H))\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((1 \u2227 H) \u2227 S)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 ((S \u2227 1) \u2227 H)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2227 H)\n((\u00ac1) \u2228 (S \u2227 H)) \u2228 (S \u2227 (H \u2227 1))\n((S \u2227 H) \u2228 (\u00ac1)) \u2228 (S \u2227 (1 \u2227 H))\n(((\u00ac1) \u2228 S) \u2227 ((\u00ac1) \u2228 H)) \u2228 (S \u2227 (1 \u2227 H))\n((\u00ac1) \u2228 (H \u2227 S)) \u2228 (S \u2227 (1 \u2227 H))\n(0 \u2228 (S \u2227 H)) \u2228 (S \u2227 (1 \u2227 H))\nChosen: (\u00ac1) \u2228 ((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H)))\n\nOptions:\n((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H))) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((S \u2227 (1 \u2227 H)) \u2228 (S \u2227 H))\n(\u00ac1) \u2228 (((S \u2227 H) \u2228 S) \u2227 ((S \u2227 H) \u2228 (1 \u2227 H)))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 ((1 \u2227 H) \u2227 S))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 ((S \u2227 1) \u2227 H))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 (S \u2227 H))\n(\u00ac1) \u2228 ((S \u2227 H) \u2228 (S \u2227 (H \u2227 1)))\n(\u00ac1) \u2228 ((H \u2227 S) \u2228 (S \u2227 (1 \u2227 H)))\n0 \u2228 ((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H)))\nChosen: 0 \u2228 ((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H)))\n\nOptions:\n(S \u2227 H) \u2228 (S \u2227 (1 \u2227 H))\n((S \u2227 H) \u2228 (S \u2227 (1 \u2227 H))) \u2228 0\n(0 \u2228 (S \u2227 H)) \u2228 (S \u2227 (1 \u2227 H))\n0 \u2228 ((S \u2227 (1 \u2227 H)) \u2228 (S \u2227 H))\n0 \u2228 (((S \u2227 H) \u2228 S) \u2227 ((S \u2227 H) \u2228 (1 \u2227 H)))\n0 \u2228 ((S \u2227 H) \u2228 ((1 \u2227 H) \u2227 S))\n0 \u2228 ((S \u2227 H) \u2228 ((S \u2227 1) \u2227 H))\n0 \u2228 ((S \u2227 H) \u2228 (S \u2227 H))\n0 \u2228 ((S \u2227 H) \u2228 (S \u2227 (H \u2227 1)))\n0 \u2228 ((H \u2227 S) \u2228 (S \u2227 (1 \u2227 H)))\nChosen: 0 \u2228 ((S \u2227 H) \u2228 ((1 \u2227 H) \u2227 S))", "id": 1566}, {"char_len": 1983, "tokens": [18902, 25, 1819, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 1192, 2855, 12264, 101, 622, 8, 75078, 1819, 41, 12264, 101, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 6054, 6774, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 320, 49, 12264, 101, 622, 595, 12264, 101, 11861, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 622, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 320, 49, 12264, 101, 320, 41, 12264, 101, 320, 15, 75078, 220, 16, 6054, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 11861, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 16, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 340, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 41, 12264, 101, 432, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 41, 12264, 101, 622, 8, 75078, 320, 49, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 6774, 49, 12264, 101, 622, 8, 75078, 622, 8, 12264, 101, 1819, 49, 12264, 101, 622, 8, 75078, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 41, 12264, 101, 432, 8, 75078, 320, 41, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 49, 12264, 101, 622, 8, 75078, 622, 340, 2855, 12264, 101, 622, 8, 75078, 320, 41, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 6054, 6774, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 595, 12264, 101, 11861, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 49, 12264, 101, 622, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 320, 41, 12264, 101, 320, 15, 75078, 220, 16, 6054, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 11861, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 16, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 340, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 41, 12264, 101, 432, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 16772, 75078, 320, 49, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 49, 12264, 101, 622, 8, 75078, 622, 340, 2855, 12264, 101, 622, 8, 75078, 320, 41, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 1192, 6774, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 595, 12264, 101, 11861, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 220, 15, 340, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 340, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 15, 12264, 101, 320, 49, 12264, 101, 622, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 320, 41, 12264, 101, 220, 15, 1192, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 1819, 41, 12264, 101, 432, 8, 12264, 101, 220, 15, 340, 16772, 75078, 320, 49, 12264, 101, 622, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 340, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 41, 12264, 101, 432, 8, 75078, 622, 340, 16772, 12264, 101, 432, 8, 75078, 320, 41, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 1192, 6774, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 595, 12264, 101, 11861, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 220, 15, 340, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 340, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 15, 12264, 101, 320, 49, 12264, 101, 622, 1192, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 320, 41, 12264, 101, 220, 15, 1192, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 1819, 41, 12264, 101, 432, 8, 12264, 101, 220, 15, 340, 16772, 75078, 320, 41, 12264, 101, 432, 595, 75078, 1819, 49, 12264, 101, 622, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 696, 3883, 512, 2855, 12264, 101, 622, 8, 75078, 1819, 41, 12264, 101, 432, 8, 75078, 622, 340, 16772, 12264, 101, 432, 8, 75078, 320, 41, 75078, 320, 49, 12264, 101, 622, 1192, 6774, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 432, 8, 12264, 101, 11861, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 622, 340, 1209, 41, 12264, 101, 432, 8, 75078, 622, 8, 75078, 320, 41, 12264, 101, 432, 340, 16772, 75078, 320, 41, 12264, 101, 432, 595, 75078, 320, 49, 12264, 101, 622, 340, 1209, 49, 12264, 101, 622, 8, 75078, 622, 8, 75078, 320, 49, 12264, 101, 622, 340, 1163, 8477, 25, 320, 41, 75078, 320, 41, 12264, 101, 432, 595, 75078, 320, 49, 12264, 101, 622, 8], "tokenizer": "cl100k_base", "tokens_len": 1281, "data_type": "boolean", "txt": "Original: ((R \u2228 J) \u2227 (J \u2228 J)) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n\nOptions:\n((R \u2228 J) \u2228 (0 \u2227 1)) \u2227 ((R \u2228 J) \u2227 (J \u2228 J))\n(R \u2228 J) \u2227 ((J \u2228 J) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1)))\n(((R \u2228 J) \u2227 (J \u2228 J)) \u2227 (R \u2228 J)) \u2228 (((R \u2228 J) \u2227 (J \u2228 J)) \u2227 (0 \u2227 1))\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 ((0 \u2227 1) \u2228 (R \u2228 J))\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 (R \u2228 (J \u2228 (0 \u2227 1)))\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 (((R \u2228 J) \u2228 0) \u2227 ((R \u2228 J) \u2228 1))\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 ((R \u2228 J) \u2228 0)\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 ((R \u2228 J) \u2228 (1 \u2227 0))\n((R \u2228 J) \u2227 (J \u2228 J)) \u2227 ((J \u2228 R) \u2228 (0 \u2227 1))\n((J \u2228 J) \u2227 (R \u2228 J)) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n(((R \u2228 J) \u2227 J) \u2228 ((R \u2228 J) \u2227 J)) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n((R \u2228 J) \u2227 J) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n((J \u2228 R) \u2227 (J \u2228 J)) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\nChosen: ((R \u2228 J) \u2227 J) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n\nOptions:\n((R \u2228 J) \u2228 (0 \u2227 1)) \u2227 ((R \u2228 J) \u2227 J)\n(R \u2228 J) \u2227 (J \u2227 ((R \u2228 J) \u2228 (0 \u2227 1)))\n(((R \u2228 J) \u2227 J) \u2227 (R \u2228 J)) \u2228 (((R \u2228 J) \u2227 J) \u2227 (0 \u2227 1))\n((R \u2228 J) \u2227 J) \u2227 ((0 \u2227 1) \u2228 (R \u2228 J))\n((R \u2228 J) \u2227 J) \u2227 (R \u2228 (J \u2228 (0 \u2227 1)))\n((R \u2228 J) \u2227 J) \u2227 (((R \u2228 J) \u2228 0) \u2227 ((R \u2228 J) \u2228 1))\n((R \u2228 J) \u2227 J) \u2227 ((R \u2228 J) \u2228 0)\n((R \u2228 J) \u2227 J) \u2227 ((R \u2228 J) \u2228 (1 \u2227 0))\n((R \u2228 J) \u2227 J) \u2227 ((J \u2228 R) \u2228 (0 \u2227 1))\n(J \u2227 (R \u2228 J)) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\n((J \u2228 R) \u2227 J) \u2227 ((R \u2228 J) \u2228 (0 \u2227 1))\nChosen: ((R \u2228 J) \u2227 J) \u2227 ((R \u2228 J) \u2228 0)\n\nOptions:\n((R \u2228 J) \u2228 0) \u2227 ((R \u2228 J) \u2227 J)\n(R \u2228 J) \u2227 (J \u2227 ((R \u2228 J) \u2228 0))\n(((R \u2228 J) \u2227 J) \u2227 (R \u2228 J)) \u2228 (((R \u2228 J) \u2227 J) \u2227 0)\n((R \u2228 J) \u2227 J) \u2227 (R \u2228 J)\n((R \u2228 J) \u2227 J) \u2227 (0 \u2228 (R \u2228 J))\n((R \u2228 J) \u2227 J) \u2227 (R \u2228 (J \u2228 0))\n((R \u2228 J) \u2227 J) \u2227 ((J \u2228 R) \u2228 0)\n(J \u2227 (R \u2228 J)) \u2227 ((R \u2228 J) \u2228 0)\n((J \u2228 R) \u2227 J) \u2227 ((R \u2228 J) \u2228 0)\nChosen: ((J \u2228 R) \u2227 J) \u2227 ((R \u2228 J) \u2228 0)\n\nOptions:\n((R \u2228 J) \u2228 0) \u2227 ((J \u2228 R) \u2227 J)\n(J \u2228 R) \u2227 (J \u2227 ((R \u2228 J) \u2228 0))\n(((J \u2228 R) \u2227 J) \u2227 (R \u2228 J)) \u2228 (((J \u2228 R) \u2227 J) \u2227 0)\n((J \u2228 R) \u2227 J) \u2227 (R \u2228 J)\n((J \u2228 R) \u2227 J) \u2227 (0 \u2228 (R \u2228 J))\n((J \u2228 R) \u2227 J) \u2227 (R \u2228 (J \u2228 0))\n((J \u2228 R) \u2227 J) \u2227 ((J \u2228 R) \u2228 0)\n(J \u2227 (J \u2228 R)) \u2227 ((R \u2228 J) \u2228 0)\nChosen: ((J \u2228 R) \u2227 J) \u2227 (R \u2228 J)\n\nOptions:\n(R \u2228 J) \u2227 ((J \u2228 R) \u2227 J)\n(J \u2228 R) \u2227 (J \u2227 (R \u2228 J))\n(((J \u2228 R) \u2227 J) \u2227 R) \u2228 (((J \u2228 R) \u2227 J) \u2227 J)\n((J \u2228 R) \u2227 J) \u2227 (J \u2228 R)\n(J \u2227 (J \u2228 R)) \u2227 (R \u2228 J)\n((R \u2228 J) \u2227 J) \u2227 (R \u2228 J)\nChosen: (J \u2227 (J \u2228 R)) \u2227 (R \u2228 J)", "id": 1567}, {"char_len": 352, "tokens": [18902, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 6774, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 340, 83193, 7, 15, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 1192, 83193, 7, 16, 12264, 101, 220, 15, 340, 83193, 1209, 16, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 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, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 242, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(1 \u2228 0))\n\u00ac((1 \u2228 0) \u2228 (\u00ac1))\n\u00ac(((\u00ac1) \u2228 1) \u2228 0)\n\u00ac((\u00ac1) \u2228 1)\n\u00ac((\u00ac1) \u2228 (0 \u2228 1))\n\u00ac(0 \u2228 (1 \u2228 0))\nChosen: \u00ac(((\u00ac1) \u2228 1) \u2228 0)\n\nOptions:\n(\u00ac((\u00ac1) \u2228 1)) \u2227 (\u00ac0)\n\u00ac((\u00ac1) \u2228 1)\n\u00ac(0 \u2228 ((\u00ac1) \u2228 1))\n\u00ac(1 \u2228 0)\n\u00ac((1 \u2228 (\u00ac1)) \u2228 0)\n\u00ac((0 \u2228 1) \u2228 0)\nChosen: \u00ac(1 \u2228 0)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac0)\n\u00ac1\n\u00ac(0 \u2228 1)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1568}, {"char_len": 1056, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 650, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 650, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 650, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 650, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 650, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 650, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 53, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 16, 75078, 650, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 650, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 650, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 650, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 75078, 650, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 650, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 650, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 53, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 53, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 650, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 75078, 650, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 53, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 12692, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 650, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 650, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 53, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 53, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 320, 53, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 53, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 12692, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 650, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 650, 340, 7, 83193, 16, 8, 75078, 320, 53, 12264, 101, 220, 16, 340, 15, 75078, 320, 53, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 53, 12264, 101, 220, 16, 696, 3883, 512, 12692, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 650, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 16, 8, 75078, 220, 16, 198, 7, 83193, 16, 8, 75078, 320, 16, 12264, 101, 650, 340, 15, 75078, 320, 53, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 650, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 707, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 1)) \u2227 ((\u00ac0) \u2228 (1 \u2227 V))\n\nOptions:\n((\u00ac0) \u2228 (1 \u2227 V)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (\u00ac0)) \u2228 ((\u00ac(1 \u2228 1)) \u2227 (1 \u2227 V))\n(\u00ac(1 \u2228 1)) \u2227 ((1 \u2227 V) \u2228 (\u00ac0))\n(\u00ac(1 \u2228 1)) \u2227 (((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 V))\n(\u00ac(1 \u2228 1)) \u2227 ((\u00ac0) \u2228 V)\n(\u00ac(1 \u2228 1)) \u2227 ((\u00ac0) \u2228 (V \u2227 1))\n(\u00ac(1 \u2228 1)) \u2227 (1 \u2228 (1 \u2227 V))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (1 \u2227 V))\n(\u00ac1) \u2227 ((\u00ac0) \u2228 (1 \u2227 V))\nChosen: (\u00ac(1 \u2228 1)) \u2227 ((1 \u2227 V) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2227 V) \u2228 (\u00ac0)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (1 \u2227 V)) \u2228 ((\u00ac(1 \u2228 1)) \u2227 (\u00ac0))\n(\u00ac(1 \u2228 1)) \u2227 ((1 \u2227 V) \u2228 1)\n(\u00ac(1 \u2228 1)) \u2227 (V \u2228 (\u00ac0))\n(\u00ac(1 \u2228 1)) \u2227 ((V \u2227 1) \u2228 (\u00ac0))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((1 \u2227 V) \u2228 (\u00ac0))\n(\u00ac1) \u2227 ((1 \u2227 V) \u2228 (\u00ac0))\nChosen: (\u00ac(1 \u2228 1)) \u2227 (V \u2228 (\u00ac0))\n\nOptions:\n(V \u2228 (\u00ac0)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 V) \u2228 ((\u00ac(1 \u2228 1)) \u2227 (\u00ac0))\n(\u00ac(1 \u2228 1)) \u2227 ((\u00ac0) \u2228 V)\n(\u00ac(1 \u2228 1)) \u2227 (V \u2228 1)\n((\u00ac1) \u2227 (\u00ac1)) \u2227 (V \u2228 (\u00ac0))\n(\u00ac1) \u2227 (V \u2228 (\u00ac0))\nChosen: (\u00ac1) \u2227 (V \u2228 (\u00ac0))\n\nOptions:\n(V \u2228 (\u00ac0)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 V) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac1) \u2227 ((\u00ac0) \u2228 V)\n(\u00ac1) \u2227 (V \u2228 1)\n0 \u2227 (V \u2228 (\u00ac0))\nChosen: (\u00ac1) \u2227 (V \u2228 1)\n\nOptions:\n(V \u2228 1) \u2227 (\u00ac1)\n((\u00ac1) \u2227 V) \u2228 ((\u00ac1) \u2227 1)\n(\u00ac1) \u2227 1\n(\u00ac1) \u2227 (1 \u2228 V)\n0 \u2227 (V \u2228 1)\nChosen: ((\u00ac1) \u2227 V) \u2228 ((\u00ac1) \u2227 1)", "id": 1569}, {"char_len": 801, "tokens": [18902, 25, 320, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 49, 1192, 1209, 83193, 7, 83193, 49, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 49, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 49, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 49, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 49, 1192, 1209, 83193, 7, 83193, 49, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 49, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 49, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 49, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 49, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 49, 1192, 1209, 83193, 7, 83193, 49, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 49, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 49, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 49, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 49, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 432, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 432, 198, 2855, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 49, 12264, 101, 220, 16, 198, 49, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 1192, 49, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 432, 12264, 101, 320, 15, 12264, 101, 220, 16, 696, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 432, 198, 2855, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 49, 12264, 101, 220, 16, 198, 49, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 49, 12264, 101, 220, 15, 8, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 592, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 (0 \u2228 1))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 1)) \u2228 (\u00ac(\u00acR))\n((\u00ac(\u00acR)) \u2228 (\u00ac1)) \u2228 (0 \u2228 1)\n(\u00ac(\u00acR)) \u2228 ((0 \u2228 1) \u2228 (\u00ac1))\n(\u00ac(\u00acR)) \u2228 (((\u00ac1) \u2228 0) \u2228 1)\n(\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 1)\n(\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n(\u00ac(\u00acR)) \u2228 (0 \u2228 (0 \u2228 1))\nR \u2228 ((\u00ac1) \u2228 (0 \u2228 1))\nChosen: (\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2228 0)) \u2228 (\u00ac(\u00acR))\n((\u00ac(\u00acR)) \u2228 (\u00ac1)) \u2228 (1 \u2228 0)\n(\u00ac(\u00acR)) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n(\u00ac(\u00acR)) \u2228 (((\u00ac1) \u2228 1) \u2228 0)\n(\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 1)\n(\u00ac(\u00acR)) \u2228 (0 \u2228 (1 \u2228 0))\nR \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\nChosen: (\u00ac(\u00acR)) \u2228 ((\u00ac1) \u2228 1)\n\nOptions:\n((\u00ac1) \u2228 1) \u2228 (\u00ac(\u00acR))\n((\u00ac(\u00acR)) \u2228 (\u00ac1)) \u2228 1\n(\u00ac(\u00acR)) \u2228 1\n(\u00ac(\u00acR)) \u2228 (1 \u2228 (\u00ac1))\n(\u00ac(\u00acR)) \u2228 (0 \u2228 1)\nR \u2228 ((\u00ac1) \u2228 1)\nChosen: R \u2228 ((\u00ac1) \u2228 1)\n\nOptions:\n((\u00ac1) \u2228 1) \u2228 R\n(R \u2228 (\u00ac1)) \u2228 1\nR \u2228 1\nR \u2228 (1 \u2228 (\u00ac1))\nR \u2228 (0 \u2228 1)\nChosen: R \u2228 (0 \u2228 1)\n\nOptions:\n(0 \u2228 1) \u2228 R\n(R \u2228 0) \u2228 1\nR \u2228 1\nR \u2228 (1 \u2228 0)\nChosen: (R \u2228 0) \u2228 1", "id": 1570}, {"char_len": 528, "tokens": [18902, 25, 97265, 1209, 15, 12264, 101, 1901, 8, 12264, 101, 320, 53, 75078, 1901, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 7, 53, 75078, 1901, 1192, 83193, 1209, 53, 75078, 1901, 8, 12264, 101, 320, 15, 12264, 101, 1901, 1192, 83193, 7, 15, 12264, 101, 320, 57, 12264, 101, 320, 53, 75078, 1901, 6054, 83193, 6774, 15, 12264, 101, 1901, 8, 12264, 101, 650, 8, 75078, 1819, 15, 12264, 101, 1901, 8, 12264, 101, 1901, 1192, 83193, 1209, 15, 12264, 101, 1901, 8, 12264, 101, 320, 57, 75078, 650, 1192, 83193, 7, 57, 12264, 101, 320, 53, 75078, 1901, 1192, 83193, 1209, 57, 12264, 101, 220, 15, 8, 12264, 101, 320, 53, 75078, 1901, 1192, 1163, 8477, 25, 97265, 7, 57, 12264, 101, 320, 53, 75078, 1901, 4489, 3883, 512, 7, 83193, 57, 8, 75078, 320, 83193, 7, 53, 75078, 1901, 1192, 83193, 1209, 53, 75078, 1901, 8, 12264, 101, 1901, 340, 83193, 1209, 57, 12264, 101, 650, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 83193, 7, 57, 12264, 101, 320, 57, 75078, 650, 1192, 1163, 8477, 25, 97265, 7, 57, 12264, 101, 320, 57, 75078, 650, 4489, 3883, 512, 7, 83193, 57, 8, 75078, 320, 83193, 7, 57, 75078, 650, 1192, 83193, 1209, 57, 75078, 650, 8, 12264, 101, 1901, 340, 83193, 1209, 57, 12264, 101, 1901, 8, 75078, 320, 57, 12264, 101, 650, 1192, 1163, 8477, 25, 97265, 1209, 57, 75078, 650, 8, 12264, 101, 1901, 696, 3883, 512, 7, 83193, 7, 57, 75078, 650, 595, 75078, 320, 83193, 57, 340, 83193, 1209, 53, 75078, 1901, 8, 12264, 101, 1901, 340, 1163, 8477, 25, 97265, 1209, 53, 75078, 1901, 8, 12264, 101, 1901, 696, 3883, 512, 7, 83193, 7, 53, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 1163, 8477, 25, 320, 83193, 7, 53, 75078, 1901, 595, 75078, 320, 83193, 57, 8], "tokenizer": "cl100k_base", "tokens_len": 314, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2228 Z) \u2228 (V \u2227 Z))\n\nOptions:\n(\u00ac(0 \u2228 Z)) \u2227 (\u00ac(V \u2227 Z))\n\u00ac((V \u2227 Z) \u2228 (0 \u2228 Z))\n\u00ac(0 \u2228 (Z \u2228 (V \u2227 Z)))\n\u00ac(((0 \u2228 Z) \u2228 V) \u2227 ((0 \u2228 Z) \u2228 Z))\n\u00ac((0 \u2228 Z) \u2228 (Z \u2227 V))\n\u00ac(Z \u2228 (V \u2227 Z))\n\u00ac((Z \u2228 0) \u2228 (V \u2227 Z))\nChosen: \u00ac(Z \u2228 (V \u2227 Z))\n\nOptions:\n(\u00acZ) \u2227 (\u00ac(V \u2227 Z))\n\u00ac((V \u2227 Z) \u2228 Z)\n\u00ac((Z \u2228 V) \u2227 (Z \u2228 Z))\n\u00ac(Z \u2228 (Z \u2227 V))\nChosen: \u00ac(Z \u2228 (Z \u2227 V))\n\nOptions:\n(\u00acZ) \u2227 (\u00ac(Z \u2227 V))\n\u00ac((Z \u2227 V) \u2228 Z)\n\u00ac((Z \u2228 Z) \u2227 (Z \u2228 V))\nChosen: \u00ac((Z \u2227 V) \u2228 Z)\n\nOptions:\n(\u00ac(Z \u2227 V)) \u2227 (\u00acZ)\n\u00ac((V \u2227 Z) \u2228 Z)\nChosen: \u00ac((V \u2227 Z) \u2228 Z)\n\nOptions:\n(\u00ac(V \u2227 Z)) \u2227 (\u00acZ)\nChosen: (\u00ac(V \u2227 Z)) \u2227 (\u00acZ)", "id": 1571}, {"char_len": 780, "tokens": [18902, 25, 97265, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 41, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 41, 12264, 101, 220, 16, 1192, 83193, 1209, 41, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 83193, 15, 1192, 83193, 1209, 16, 12264, 101, 622, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 16, 12264, 101, 622, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 622, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 622, 1192, 83193, 1209, 16, 12264, 101, 622, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 16, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 622, 1192, 83193, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 622, 1192, 83193, 1209, 83193, 15, 8, 75078, 220, 16, 340, 83193, 1209, 83193, 15, 8, 75078, 320, 41, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 12264, 101, 622, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 41, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 220, 16, 1192, 83193, 6774, 83193, 15, 8, 75078, 622, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 1192, 83193, 1209, 83193, 15, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 41, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 6774, 83193, 15, 8, 75078, 622, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 1209, 83193, 15, 8, 75078, 622, 595, 75078, 320, 83193, 1209, 83193, 15, 8, 75078, 220, 16, 1192, 83193, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 622, 1192, 83193, 67944, 83193, 15, 8, 75078, 622, 8, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 15, 8, 75078, 622, 8, 12264, 101, 220, 16, 1192, 83193, 6774, 83193, 15, 8, 75078, 622, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 6774, 83193, 15, 8, 75078, 622, 8, 12264, 101, 320, 16, 75078, 320, 83193, 15, 6054, 83193, 6774, 83193, 15, 8, 75078, 622, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 83193, 1209, 41, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 1192, 83193, 1209, 16, 75078, 622, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 67944, 83193, 15, 8, 75078, 622, 8, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 15, 8, 75078, 622, 8, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 498, "data_type": "boolean", "txt": "Original: \u00ac((J \u2228 1) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(J \u2228 1)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (J \u2228 1))\n\u00ac((J \u2228 1) \u2227 1)\n\u00ac(1 \u2227 (\u00ac0))\n\u00ac((1 \u2228 J) \u2227 (\u00ac0))\nChosen: \u00ac((1 \u2228 J) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(1 \u2228 J)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (1 \u2228 J))\n\u00ac((1 \u2228 J) \u2227 1)\n\u00ac(1 \u2227 (\u00ac0))\nChosen: \u00ac((\u00ac0) \u2227 (1 \u2228 J))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(1 \u2228 J))\n\u00ac(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 J))\n\u00ac((\u00ac0) \u2227 1)\n\u00ac((\u00ac0) \u2227 (J \u2228 1))\n\u00ac(1 \u2227 (1 \u2228 J))\nChosen: \u00ac((\u00ac0) \u2227 (J \u2228 1))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(J \u2228 1))\n\u00ac(((\u00ac0) \u2227 J) \u2228 ((\u00ac0) \u2227 1))\n\u00ac((\u00ac0) \u2227 1)\n\u00ac(1 \u2227 (J \u2228 1))\nChosen: \u00ac(((\u00ac0) \u2227 J) \u2228 ((\u00ac0) \u2227 1))\n\nOptions:\n(\u00ac((\u00ac0) \u2227 J)) \u2227 (\u00ac((\u00ac0) \u2227 1))\n\u00ac(((\u00ac0) \u2227 1) \u2228 ((\u00ac0) \u2227 J))\n\u00ac((((\u00ac0) \u2227 J) \u2228 (\u00ac0)) \u2227 (((\u00ac0) \u2227 J) \u2228 1))\n\u00ac(((\u00ac0) \u2227 J) \u2228 (\u00ac0))\n\u00ac(((\u00ac0) \u2227 J) \u2228 (1 \u2227 (\u00ac0)))\n\u00ac(((\u00ac0) \u2227 J) \u2228 (1 \u2227 1))\n\u00ac((J \u2227 (\u00ac0)) \u2228 ((\u00ac0) \u2227 1))\n\u00ac((1 \u2227 J) \u2228 ((\u00ac0) \u2227 1))\nChosen: \u00ac((((\u00ac0) \u2227 J) \u2228 (\u00ac0)) \u2227 (((\u00ac0) \u2227 J) \u2228 1))", "id": 1572}, {"char_len": 368, "tokens": [18902, 25, 97265, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 83193, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 83193, 7, 15, 75078, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 15, 75078, 220, 15, 1192, 83193, 7, 15, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 220, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 245, "data_type": "boolean", "txt": "Original: \u00ac((0 \u2227 0) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (0 \u2227 0))\n\u00ac(((0 \u2227 0) \u2228 0) \u2228 0)\n\u00ac((0 \u2227 0) \u2228 0)\n\u00ac(0 \u2228 (0 \u2228 0))\nChosen: \u00ac((0 \u2227 0) \u2228 0)\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2227 (\u00ac0)\n\u00ac(0 \u2227 0)\n\u00ac(0 \u2228 (0 \u2227 0))\n\u00ac(0 \u2228 0)\nChosen: \u00ac(0 \u2227 0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac0)\n\u00ac0\nChosen: (\u00ac0) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 1\n1 \u2228 (\u00ac0)\nChosen: (\u00ac0) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac0)\n1 \u2228 1\nChosen: 1 \u2228 1", "id": 1573}, {"char_len": 109, "tokens": [18902, 25, 97265, 7, 83193, 7, 15, 75078, 473, 4489, 3883, 512, 15, 75078, 473, 198, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 39, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 39, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 61, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(0 \u2227 H))\n\nOptions:\n0 \u2227 H\n\u00ac((\u00ac0) \u2228 (\u00acH))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(H \u2227 0))\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1574}, {"char_len": 372, "tokens": [18902, 25, 97265, 7, 83193, 7, 16, 75078, 220, 15, 4489, 3883, 512, 16, 75078, 220, 15, 198, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 15, 75078, 220, 16, 198, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 340, 83193, 7, 15, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 320, 83193, 16, 1192, 83193, 7, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 16], "tokenizer": "cl100k_base", "tokens_len": 236, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(1 \u2227 0))\n\nOptions:\n1 \u2227 0\n\u00ac((\u00ac1) \u2228 (\u00ac0))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(0 \u2227 1))\nChosen: \u00ac(\u00ac(0 \u2227 1))\n\nOptions:\n0 \u2227 1\n\u00ac((\u00ac0) \u2228 (\u00ac1))\n\u00ac(\u00ac0)\nChosen: \u00ac((\u00ac0) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 (\u00ac0))\n\u00ac((\u00ac0) \u2228 0)\n\u00ac(1 \u2228 (\u00ac1))\nChosen: \u00ac((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(\u00ac0))\n\u00ac((\u00ac1) \u2228 1)\n\u00ac(0 \u2228 (\u00ac0))\nChosen: \u00ac((\u00ac1) \u2228 1)\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 (\u00ac1))\n\u00ac(0 \u2228 1)\nChosen: \u00ac1", "id": 1575}, {"char_len": 807, "tokens": [18902, 25, 1819, 83193, 15, 8, 75078, 320, 35, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 35, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 622, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 35, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 41, 75078, 423, 1192, 1209, 35, 75078, 220, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 6774, 83193, 15, 8, 75078, 423, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 423, 595, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 7, 16, 75078, 320, 35, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 35, 75078, 622, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 622, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 41, 75078, 423, 1192, 15, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 35, 75078, 622, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 7, 35, 75078, 622, 595, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 7, 35, 75078, 622, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 35, 75078, 622, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 35, 75078, 622, 595, 12264, 101, 320, 15, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 35, 75078, 622, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1209, 83193, 35, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 41, 75078, 423, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 35, 75078, 622, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 35, 75078, 622, 340, 15, 12264, 101, 320, 83193, 7, 35, 75078, 622, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 41, 75078, 423, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 35, 75078, 622, 696, 3883, 512, 7, 83193, 35, 8, 12264, 101, 320, 83193, 41, 340, 83193, 7, 41, 75078, 423, 340, 1163, 8477, 25, 97265, 7, 41, 75078, 423, 8], "tokenizer": "cl100k_base", "tokens_len": 522, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (D \u2227 0)) \u2228 (\u00ac(D \u2227 J))\n\nOptions:\n(\u00ac(D \u2227 J)) \u2228 ((\u00ac0) \u2227 (D \u2227 0))\n((\u00ac0) \u2227 (D \u2227 0)) \u2228 ((\u00acD) \u2228 (\u00acJ))\n((\u00ac0) \u2227 (D \u2227 0)) \u2228 (\u00ac(J \u2227 D))\n((D \u2227 0) \u2227 (\u00ac0)) \u2228 (\u00ac(D \u2227 J))\n(((\u00ac0) \u2227 D) \u2227 0) \u2228 (\u00ac(D \u2227 J))\n((\u00ac0) \u2227 0) \u2228 (\u00ac(D \u2227 J))\n((\u00ac0) \u2227 (0 \u2227 D)) \u2228 (\u00ac(D \u2227 J))\n(1 \u2227 (D \u2227 0)) \u2228 (\u00ac(D \u2227 J))\nChosen: ((\u00ac0) \u2227 0) \u2228 (\u00ac(D \u2227 J))\n\nOptions:\n(\u00ac(D \u2227 J)) \u2228 ((\u00ac0) \u2227 0)\n((\u00ac0) \u2227 0) \u2228 ((\u00acD) \u2228 (\u00acJ))\n((\u00ac0) \u2227 0) \u2228 (\u00ac(J \u2227 D))\n0 \u2228 (\u00ac(D \u2227 J))\n(0 \u2227 (\u00ac0)) \u2228 (\u00ac(D \u2227 J))\n(1 \u2227 0) \u2228 (\u00ac(D \u2227 J))\nChosen: (\u00ac(D \u2227 J)) \u2228 ((\u00ac0) \u2227 0)\n\nOptions:\n((\u00ac(D \u2227 J)) \u2228 (\u00ac0)) \u2227 ((\u00ac(D \u2227 J)) \u2228 0)\n(\u00ac(D \u2227 J)) \u2228 0\n(\u00ac(D \u2227 J)) \u2228 (0 \u2227 (\u00ac0))\n(\u00ac(D \u2227 J)) \u2228 (1 \u2227 0)\n((\u00acD) \u2228 (\u00acJ)) \u2228 ((\u00ac0) \u2227 0)\n(\u00ac(J \u2227 D)) \u2228 ((\u00ac0) \u2227 0)\nChosen: (\u00ac(D \u2227 J)) \u2228 0\n\nOptions:\n\u00ac(D \u2227 J)\n0 \u2228 (\u00ac(D \u2227 J))\n((\u00acD) \u2228 (\u00acJ)) \u2228 0\n(\u00ac(J \u2227 D)) \u2228 0\nChosen: \u00ac(D \u2227 J)\n\nOptions:\n(\u00acD) \u2228 (\u00acJ)\n\u00ac(J \u2227 D)\nChosen: \u00ac(J \u2227 D)", "id": 1576}, {"char_len": 2895, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 1192, 7, 16, 75078, 220, 16, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 386, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 44, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 44, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 6054, 16, 75078, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 16, 12264, 101, 386, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 386, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 16, 12264, 101, 320, 44, 12264, 101, 320, 83193, 15, 6054, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 44, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 75078, 1819, 16, 12264, 101, 386, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 6054, 16, 75078, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 198, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 340, 6774, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 26843, 75078, 11861, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 23631, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 6054, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 340, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 26843, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 6774, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 6774, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 340, 6774, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 26843, 75078, 11861, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 320, 16, 75078, 320, 83193, 44, 23631, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 6054, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 220, 16, 340, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 44, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 83193, 44, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 7, 16, 75078, 1819, 83193, 44, 8, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 1209, 83193, 44, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 6774, 83193, 44, 8, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 44, 595, 12264, 101, 1819, 16, 75078, 320, 16, 75078, 320, 83193, 44, 7861, 75078, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1800, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2227 (\u00acM)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2228 M) \u2228 (\u00ac0)) \u2227 ((1 \u2227 1) \u2227 (\u00acM))\n(1 \u2227 1) \u2227 ((\u00acM) \u2227 ((1 \u2228 M) \u2228 (\u00ac0)))\n(((1 \u2227 1) \u2227 (\u00acM)) \u2227 (1 \u2228 M)) \u2228 (((1 \u2227 1) \u2227 (\u00acM)) \u2227 (\u00ac0))\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 ((\u00ac0) \u2228 (1 \u2228 M))\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 (1 \u2228 (M \u2228 (\u00ac0)))\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 ((1 \u2228 M) \u2228 1)\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 (1 \u2228 (\u00ac0))\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 ((M \u2228 1) \u2228 (\u00ac0))\n((\u00acM) \u2227 (1 \u2227 1)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n(1 \u2227 (\u00acM)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\nChosen: (1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2228 M) \u2228 (\u00ac0)) \u2227 (1 \u2227 (1 \u2227 (\u00acM)))\n1 \u2227 ((1 \u2227 (\u00acM)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0)))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (1 \u2228 M)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((\u00ac0) \u2228 (1 \u2228 M))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 (1 \u2228 (M \u2228 (\u00ac0)))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((1 \u2228 M) \u2228 1)\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 (1 \u2228 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((M \u2228 1) \u2228 (\u00ac0))\n(1 \u2227 (\u00acM)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\n(1 \u2227 ((\u00acM) \u2227 1)) \u2227 ((1 \u2228 M) \u2228 (\u00ac0))\nChosen: (1 \u2227 (1 \u2227 (\u00acM))) \u2227 (1 \u2228 (\u00ac0))\n\nOptions:\n(1 \u2228 (\u00ac0)) \u2227 (1 \u2227 (1 \u2227 (\u00acM)))\n1 \u2227 ((1 \u2227 (\u00acM)) \u2227 (1 \u2228 (\u00ac0)))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 1\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 ((\u00ac0) \u2228 1)\n(1 \u2227 (1 \u2227 (\u00acM))) \u2227 (1 \u2228 1)\n(1 \u2227 (\u00acM)) \u2227 (1 \u2228 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2227 (1 \u2228 (\u00ac0))\n((1 \u2227 1) \u2227 (\u00acM)) \u2227 (1 \u2228 (\u00ac0))\n(1 \u2227 ((\u00acM) \u2227 1)) \u2227 (1 \u2228 (\u00ac0))\nChosen: ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n\nOptions:\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1)\n(((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 (1 \u2227 (1 \u2227 (\u00acM)))) \u2227 (((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 (\u00ac0))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((\u00ac0) \u2227 (1 \u2227 (1 \u2227 (\u00acM))))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 (1 \u2227 ((1 \u2227 (\u00acM)) \u2227 (\u00ac0)))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1)\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((1 \u2227 (\u00acM)) \u2227 (\u00ac0))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 (((1 \u2227 (\u00acM)) \u2227 1) \u2227 (\u00ac0))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 (((1 \u2227 1) \u2227 (\u00acM)) \u2227 (\u00ac0))\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1) \u2228 ((1 \u2227 ((\u00acM) \u2227 1)) \u2227 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 (1 \u2227 (1 \u2227 (\u00acM)))) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 ((1 \u2227 (\u00acM)) \u2227 1)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(((1 \u2227 (\u00acM)) \u2227 1) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(((1 \u2227 1) \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n((1 \u2227 ((\u00acM) \u2227 1)) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\nChosen: ((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n\nOptions:\n((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0)) \u2228 ((1 \u2227 (\u00acM)) \u2227 1)\n(((1 \u2227 (\u00acM)) \u2227 1) \u2228 (1 \u2227 (1 \u2227 (\u00acM)))) \u2227 (((1 \u2227 (\u00acM)) \u2227 1) \u2228 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((\u00ac0) \u2227 (1 \u2227 (1 \u2227 (\u00acM))))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 (1 \u2227 ((1 \u2227 (\u00acM)) \u2227 (\u00ac0)))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 1)\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 (\u00acM)) \u2227 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 (((1 \u2227 (\u00acM)) \u2227 1) \u2227 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 (((1 \u2227 1) \u2227 (\u00acM)) \u2227 (\u00ac0))\n((1 \u2227 (\u00acM)) \u2227 1) \u2228 ((1 \u2227 ((\u00acM) \u2227 1)) \u2227 (\u00ac0))\n(1 \u2227 (\u00acM)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 (1 \u2227 (\u00acM))) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(1 \u2227 ((\u00acM) \u2227 1)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n((\u00acM) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\n(((\u00acM) \u2227 1) \u2227 1) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))\nChosen: (1 \u2227 (\u00acM)) \u2228 ((1 \u2227 (1 \u2227 (\u00acM))) \u2227 (\u00ac0))", "id": 1577}, {"char_len": 1644, "tokens": [18902, 25, 1819, 16, 12264, 101, 328, 8, 75078, 320, 51, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 320, 51, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 328, 8, 75078, 1819, 51, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 6054, 6774, 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1192, 7, 16, 75078, 320, 51, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 1192, 7, 16, 12264, 101, 328, 8, 75078, 1819, 16, 12264, 101, 350, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 6054, 6774, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 350, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 6774, 16, 12264, 101, 328, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 328, 8, 75078, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 7, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 75078, 320, 16, 75078, 320, 16, 12264, 101, 350, 1192, 16, 75078, 1819, 16, 12264, 101, 350, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 6054, 1209, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 83193, 50, 1192, 7, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 320, 16, 12264, 101, 350, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 7, 16, 12264, 101, 350, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 350, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 350, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 7, 16, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 7, 16, 75078, 320, 51, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 350, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 75078, 320, 16, 12264, 101, 350, 340, 1209, 16, 12264, 101, 350, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 350, 8, 75078, 320, 83193, 50, 1192, 7, 16, 12264, 101, 350, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 350, 8, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 4233, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 51, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595, 75078, 320, 51, 12264, 101, 220, 16, 340, 1209, 51, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 51, 12264, 101, 220, 16, 8, 75078, 320, 83193, 50, 1192, 4233, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 83193, 15, 1192, 4233, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 50, 595], "tokenizer": "cl100k_base", "tokens_len": 1082, "data_type": "boolean", "txt": "Original: ((1 \u2228 S) \u2227 (T \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2227 ((1 \u2228 S) \u2227 (T \u2228 1))\n(1 \u2228 S) \u2227 ((T \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00acS)))\n(((1 \u2228 S) \u2227 (T \u2228 1)) \u2227 (\u00ac0)) \u2228 (((1 \u2228 S) \u2227 (T \u2228 1)) \u2227 (\u00acS))\n((1 \u2228 S) \u2227 (T \u2228 1)) \u2227 ((\u00acS) \u2228 (\u00ac0))\n((1 \u2228 S) \u2227 (T \u2228 1)) \u2227 (1 \u2228 (\u00acS))\n((T \u2228 1) \u2227 (1 \u2228 S)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(((1 \u2228 S) \u2227 T) \u2228 ((1 \u2228 S) \u2227 1)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((1 \u2228 S) \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(1 \u2227 (T \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((S \u2228 1) \u2227 (T \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00acS))\nChosen: ((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2227 ((1 \u2228 S) \u2227 (1 \u2228 T))\n(1 \u2228 S) \u2227 ((1 \u2228 T) \u2227 ((\u00ac0) \u2228 (\u00acS)))\n(((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 (\u00ac0)) \u2228 (((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 (\u00acS))\n((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 ((\u00acS) \u2228 (\u00ac0))\n((1 \u2228 S) \u2227 (1 \u2228 T)) \u2227 (1 \u2228 (\u00acS))\n((1 \u2228 T) \u2227 (1 \u2228 S)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(((1 \u2228 S) \u2227 1) \u2228 ((1 \u2228 S) \u2227 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((1 \u2228 S) \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(1 \u2227 (1 \u2228 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((S \u2228 1) \u2227 (1 \u2228 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\nChosen: (1 \u2227 (1 \u2228 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2227 (1 \u2227 (1 \u2228 T))\n1 \u2227 ((1 \u2228 T) \u2227 ((\u00ac0) \u2228 (\u00acS)))\n((1 \u2227 (1 \u2228 T)) \u2227 (\u00ac0)) \u2228 ((1 \u2227 (1 \u2228 T)) \u2227 (\u00acS))\n(1 \u2227 (1 \u2228 T)) \u2227 ((\u00acS) \u2228 (\u00ac0))\n(1 \u2227 (1 \u2228 T)) \u2227 (1 \u2228 (\u00acS))\n(1 \u2228 T) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((1 \u2228 T) \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\n((1 \u2227 1) \u2228 (1 \u2227 T)) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(1 \u2227 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\n(1 \u2227 (T \u2228 1)) \u2227 ((\u00ac0) \u2228 (\u00acS))\nChosen: (1 \u2228 T) \u2227 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2227 (1 \u2228 T)\n((1 \u2228 T) \u2227 (\u00ac0)) \u2228 ((1 \u2228 T) \u2227 (\u00acS))\n(1 \u2228 T) \u2227 ((\u00acS) \u2228 (\u00ac0))\n(1 \u2228 T) \u2227 (1 \u2228 (\u00acS))\n1 \u2227 ((\u00ac0) \u2228 (\u00acS))\n(T \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\nChosen: (T \u2228 1) \u2227 ((\u00ac0) \u2228 (\u00acS))\n\nOptions:\n((\u00ac0) \u2228 (\u00acS)) \u2227 (T \u2228 1)\n((T \u2228 1) \u2227 (\u00ac0)) \u2228 ((T \u2228 1) \u2227 (\u00acS))\n(T \u2228 1) \u2227 ((\u00acS) \u2228 (\u00ac0))\n(T \u2228 1) \u2227 (1 \u2228 (\u00acS))\n1 \u2227 ((\u00ac0) \u2228 (\u00acS))\nChosen: 1 \u2227 ((\u00ac0) \u2228 (\u00acS))", "id": 1578}, {"char_len": 1776, "tokens": [18902, 25, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 7, 83193, 16, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 6054, 6774, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 39, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 39, 75078, 220, 15, 8, 12264, 101, 320, 83193, 39, 1192, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 11861, 83193, 39, 8, 12264, 101, 473, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 15, 75078, 473, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 1192, 6774, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 1229, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 1192, 7, 15, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 4489, 3883, 512, 6774, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 320, 83193, 16, 595, 75078, 320, 48, 12264, 101, 1229, 340, 1209, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 11861, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1229, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 1229, 340, 1209, 83193, 39, 8, 12264, 101, 320, 39, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 48, 12264, 101, 1229, 1192, 1209, 39, 75078, 220, 15, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 6774, 83193, 39, 8, 12264, 101, 473, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1209, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 15, 75078, 473, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 6774, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 48, 12264, 101, 1229, 340, 1209, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 11861, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1229, 1192, 1209, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 1229, 340, 1209, 83193, 39, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 48, 12264, 101, 1229, 1192, 7, 83193, 39, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 7, 15, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 340, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 15, 12264, 101, 320, 83193, 39, 1192, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 6774, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 75078, 1229, 8, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 39, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 15, 12264, 101, 320, 83193, 39, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 1192, 7, 83193, 16, 8, 75078, 1819, 48, 12264, 101, 1229, 8, 75078, 320, 15, 12264, 101, 320, 83193, 39, 6054, 6774, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 1192, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 340, 1209, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 12264, 101, 320, 83193, 39, 1192, 6774, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1229, 595, 75078, 320, 15, 12264, 101, 320, 83193, 39, 1192, 1209, 83193, 16, 8, 75078, 1229, 8, 75078, 320, 15, 12264, 101, 320, 83193, 39, 1192, 7, 15, 75078, 320, 48, 12264, 101, 1229, 595, 75078, 320, 15, 12264, 101, 320, 83193, 39, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 1229, 8, 75078, 320, 15, 12264, 101, 320, 83193, 39, 595], "tokenizer": "cl100k_base", "tokens_len": 1149, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 (H \u2227 0))\n\nOptions:\n((\u00acH) \u2228 (H \u2227 0)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n(\u00ac1) \u2227 ((Q \u2228 Q) \u2227 ((\u00acH) \u2228 (H \u2227 0)))\n(((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (\u00acH)) \u2228 (((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (H \u2227 0))\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((H \u2227 0) \u2228 (\u00acH))\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (((\u00acH) \u2228 H) \u2227 ((\u00acH) \u2228 0))\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 0)\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 (0 \u2227 H))\n((Q \u2228 Q) \u2227 (\u00ac1)) \u2227 ((\u00acH) \u2228 (H \u2227 0))\n(((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 Q)) \u2227 ((\u00acH) \u2228 (H \u2227 0))\n((\u00ac1) \u2227 Q) \u2227 ((\u00acH) \u2228 (H \u2227 0))\n(0 \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 (H \u2227 0))\nChosen: ((\u00acH) \u2228 (H \u2227 0)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n\nOptions:\n(((\u00acH) \u2228 (H \u2227 0)) \u2227 (\u00ac1)) \u2227 (Q \u2228 Q)\n((\u00acH) \u2228 (H \u2227 0)) \u2227 ((Q \u2228 Q) \u2227 (\u00ac1))\n((\u00acH) \u2228 (H \u2227 0)) \u2227 (((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 Q))\n((\u00acH) \u2228 (H \u2227 0)) \u2227 ((\u00ac1) \u2227 Q)\n((\u00acH) \u2228 (H \u2227 0)) \u2227 (0 \u2227 (Q \u2228 Q))\n((H \u2227 0) \u2228 (\u00acH)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n(((\u00acH) \u2228 H) \u2227 ((\u00acH) \u2228 0)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n((\u00acH) \u2228 0) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n((\u00acH) \u2228 (0 \u2227 H)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\nChosen: ((\u00acH) \u2228 0) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n\nOptions:\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 0)\n(((\u00acH) \u2228 0) \u2227 (\u00ac1)) \u2227 (Q \u2228 Q)\n((\u00acH) \u2228 0) \u2227 ((Q \u2228 Q) \u2227 (\u00ac1))\n((\u00acH) \u2228 0) \u2227 (((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 Q))\n((\u00acH) \u2228 0) \u2227 ((\u00ac1) \u2227 Q)\n((\u00acH) \u2228 0) \u2227 (0 \u2227 (Q \u2228 Q))\n(\u00acH) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n(0 \u2228 (\u00acH)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\nChosen: ((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 0)\n\nOptions:\n(\u00ac1) \u2227 ((Q \u2228 Q) \u2227 ((\u00acH) \u2228 0))\n(((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (\u00acH)) \u2228 (((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 0)\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (\u00acH)\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (0 \u2228 (\u00acH))\n((Q \u2228 Q) \u2227 (\u00ac1)) \u2227 ((\u00acH) \u2228 0)\n(((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 Q)) \u2227 ((\u00acH) \u2228 0)\n((\u00ac1) \u2227 Q) \u2227 ((\u00acH) \u2228 0)\n(0 \u2227 (Q \u2228 Q)) \u2227 ((\u00acH) \u2228 0)\nChosen: ((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (0 \u2228 (\u00acH))\n\nOptions:\n(0 \u2228 (\u00acH)) \u2227 ((\u00ac1) \u2227 (Q \u2228 Q))\n(\u00ac1) \u2227 ((Q \u2228 Q) \u2227 (0 \u2228 (\u00acH)))\n(((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 0) \u2228 (((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (\u00acH))\n((\u00ac1) \u2227 (Q \u2228 Q)) \u2227 (\u00acH)\n((Q \u2228 Q) \u2227 (\u00ac1)) \u2227 (0 \u2228 (\u00acH))\n(((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 Q)) \u2227 (0 \u2228 (\u00acH))\n((\u00ac1) \u2227 Q) \u2227 (0 \u2228 (\u00acH))\n(0 \u2227 (Q \u2228 Q)) \u2227 (0 \u2228 (\u00acH))\nChosen: ((\u00ac1) \u2227 Q) \u2227 (0 \u2228 (\u00acH))", "id": 1579}, {"char_len": 2493, "tokens": [18902, 25, 1819, 15, 75078, 328, 8, 75078, 320, 50, 75078, 220, 15, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 40, 12264, 101, 328, 4489, 3883, 512, 1209, 50, 75078, 328, 8, 12264, 101, 320, 40, 12264, 101, 328, 595, 75078, 1819, 15, 75078, 328, 8, 75078, 320, 50, 75078, 220, 15, 1192, 7, 15, 75078, 328, 8, 75078, 1819, 50, 75078, 220, 15, 8, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 40, 12264, 101, 328, 6054, 6774, 15, 75078, 328, 8, 75078, 320, 50, 75078, 220, 15, 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320, 15, 75078, 320, 50, 75078, 220, 15, 1192, 1209, 50, 12264, 101, 358, 8, 12264, 101, 328, 8, 75078, 320, 15, 75078, 220, 15, 340, 1209, 50, 12264, 101, 358, 8, 12264, 101, 328, 8, 75078, 1819, 50, 75078, 220, 15, 8, 75078, 220, 15, 340, 3844, 12264, 101, 320, 50, 12264, 101, 358, 595, 75078, 1819, 15, 75078, 328, 8, 75078, 220, 15, 340, 3844, 12264, 101, 320, 40, 12264, 101, 328, 595, 75078, 1819, 15, 75078, 328, 8, 75078, 220, 15, 340, 1209, 40, 12264, 101, 328, 8, 12264, 101, 328, 8, 75078, 1819, 15, 75078, 328, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 328, 8, 75078, 220, 15, 8, 75078, 1819, 50, 12264, 101, 358, 8, 12264, 101, 328, 8], "tokenizer": "cl100k_base", "tokens_len": 1552, "data_type": "boolean", "txt": "Original: ((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n\nOptions:\n((S \u2227 S) \u2228 (I \u2228 S)) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n(0 \u2227 S) \u2227 ((S \u2227 0) \u2227 ((S \u2227 S) \u2228 (I \u2228 S)))\n(((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2227 S)) \u2228 (((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (I \u2228 S))\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((I \u2228 S) \u2228 (S \u2227 S))\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (((S \u2227 S) \u2228 I) \u2228 S)\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((S \u2227 S) \u2228 (S \u2228 I))\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2228 (I \u2228 S))\n((S \u2227 0) \u2227 (0 \u2227 S)) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n(((0 \u2227 S) \u2227 S) \u2227 0) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n(0 \u2227 (S \u2227 (S \u2227 0))) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n((0 \u2227 S) \u2227 0) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n((0 \u2227 S) \u2227 (0 \u2227 S)) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n(0 \u2227 (S \u2227 0)) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\n((S \u2227 0) \u2227 (S \u2227 0)) \u2227 ((S \u2227 S) \u2228 (I \u2228 S))\nChosen: ((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2228 (I \u2228 S))\n\nOptions:\n(S \u2228 (I \u2228 S)) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n(0 \u2227 S) \u2227 ((S \u2227 0) \u2227 (S \u2228 (I \u2228 S)))\n(((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 S) \u2228 (((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (I \u2228 S))\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((I \u2228 S) \u2228 S)\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((S \u2228 I) \u2228 S)\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2228 (S \u2228 I))\n((S \u2227 0) \u2227 (0 \u2227 S)) \u2227 (S \u2228 (I \u2228 S))\n(((0 \u2227 S) \u2227 S) \u2227 0) \u2227 (S \u2228 (I \u2228 S))\n(0 \u2227 (S \u2227 (S \u2227 0))) \u2227 (S \u2228 (I \u2228 S))\n((0 \u2227 S) \u2227 0) \u2227 (S \u2228 (I \u2228 S))\n((0 \u2227 S) \u2227 (0 \u2227 S)) \u2227 (S \u2228 (I \u2228 S))\n(0 \u2227 (S \u2227 0)) \u2227 (S \u2228 (I \u2228 S))\n((S \u2227 0) \u2227 (S \u2227 0)) \u2227 (S \u2228 (I \u2228 S))\nChosen: ((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((S \u2228 I) \u2228 S)\n\nOptions:\n((S \u2228 I) \u2228 S) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n(0 \u2227 S) \u2227 ((S \u2227 0) \u2227 ((S \u2228 I) \u2228 S))\n(((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2228 I)) \u2228 (((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 S)\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 (S \u2228 (S \u2228 I))\n((0 \u2227 S) \u2227 (S \u2227 0)) \u2227 ((I \u2228 S) \u2228 S)\n((S \u2227 0) \u2227 (0 \u2227 S)) \u2227 ((S \u2228 I) \u2228 S)\n(((0 \u2227 S) \u2227 S) \u2227 0) \u2227 ((S \u2228 I) \u2228 S)\n(0 \u2227 (S \u2227 (S \u2227 0))) \u2227 ((S \u2228 I) \u2228 S)\n((0 \u2227 S) \u2227 0) \u2227 ((S \u2228 I) \u2228 S)\n((0 \u2227 S) \u2227 (0 \u2227 S)) \u2227 ((S \u2228 I) \u2228 S)\n(0 \u2227 (S \u2227 0)) \u2227 ((S \u2228 I) \u2228 S)\n((S \u2227 0) \u2227 (S \u2227 0)) \u2227 ((S \u2228 I) \u2228 S)\nChosen: ((S \u2228 I) \u2228 S) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n\nOptions:\n(((S \u2228 I) \u2228 S) \u2227 (0 \u2227 S)) \u2227 (S \u2227 0)\n((S \u2228 I) \u2228 S) \u2227 ((S \u2227 0) \u2227 (0 \u2227 S))\n((S \u2228 I) \u2228 S) \u2227 (((0 \u2227 S) \u2227 S) \u2227 0)\n((S \u2228 I) \u2228 S) \u2227 (0 \u2227 (S \u2227 (S \u2227 0)))\n((S \u2228 I) \u2228 S) \u2227 ((0 \u2227 S) \u2227 0)\n((S \u2228 I) \u2228 S) \u2227 ((0 \u2227 S) \u2227 (0 \u2227 S))\n((S \u2228 I) \u2228 S) \u2227 (0 \u2227 (S \u2227 0))\n((S \u2228 I) \u2228 S) \u2227 ((S \u2227 0) \u2227 (S \u2227 0))\n(S \u2228 (S \u2228 I)) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n(S \u2228 (I \u2228 S)) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\n((I \u2228 S) \u2228 S) \u2227 ((0 \u2227 S) \u2227 (S \u2227 0))\nChosen: ((S \u2228 I) \u2228 S) \u2227 ((0 \u2227 S) \u2227 0)\n\nOptions:\n((0 \u2227 S) \u2227 0) \u2227 ((S \u2228 I) \u2228 S)\n(((S \u2228 I) \u2228 S) \u2227 (0 \u2227 S)) \u2227 0\n((S \u2228 I) \u2228 S) \u2227 0\n((S \u2228 I) \u2228 S) \u2227 (0 \u2227 (0 \u2227 S))\n((S \u2228 I) \u2228 S) \u2227 (0 \u2227 (S \u2227 0))\n((S \u2228 I) \u2228 S) \u2227 (0 \u2227 0)\n((S \u2228 I) \u2228 S) \u2227 ((S \u2227 0) \u2227 0)\n(S \u2228 (S \u2228 I)) \u2227 ((0 \u2227 S) \u2227 0)\n(S \u2228 (I \u2228 S)) \u2227 ((0 \u2227 S) \u2227 0)\n((I \u2228 S) \u2228 S) \u2227 ((0 \u2227 S) \u2227 0)\nChosen: ((0 \u2227 S) \u2227 0) \u2227 ((S \u2228 I) \u2228 S)", "id": 1580}, {"char_len": 298, "tokens": [18902, 25, 97265, 1209, 48, 75078, 1229, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 48, 75078, 1229, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 75078, 320, 48, 75078, 1229, 1192, 83193, 7, 48, 75078, 320, 48, 75078, 320, 83193, 16, 6054, 83193, 1209, 48, 75078, 1229, 8, 75078, 220, 15, 340, 83193, 7, 48, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 48, 75078, 1229, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 48, 75078, 1229, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 48, 75078, 1229, 1192, 83193, 7, 48, 75078, 320, 48, 75078, 220, 15, 1192, 83193, 7, 48, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 48, 75078, 220, 15, 696, 3883, 512, 7, 83193, 48, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 1229, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 173, "data_type": "boolean", "txt": "Original: \u00ac((Q \u2227 Q) \u2227 (\u00ac1))\n\nOptions:\n(\u00ac(Q \u2227 Q)) \u2228 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2227 (Q \u2227 Q))\n\u00ac(Q \u2227 (Q \u2227 (\u00ac1)))\n\u00ac((Q \u2227 Q) \u2227 0)\n\u00ac(Q \u2227 (\u00ac1))\nChosen: \u00ac((Q \u2227 Q) \u2227 0)\n\nOptions:\n(\u00ac(Q \u2227 Q)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (Q \u2227 Q))\n\u00ac(Q \u2227 (Q \u2227 0))\n\u00ac(Q \u2227 0)\nChosen: \u00ac(Q \u2227 0)\n\nOptions:\n(\u00acQ) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 Q)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1581}, {"char_len": 385, "tokens": [18902, 25, 320, 83193, 7, 39, 12264, 101, 473, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 39, 12264, 101, 473, 1192, 7, 83193, 7, 39, 12264, 101, 473, 595, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 39, 12264, 101, 473, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 39, 12264, 101, 473, 595, 12264, 101, 320, 83193, 7, 15, 75078, 473, 1192, 1209, 83193, 39, 8, 75078, 320, 83193, 39, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 1192, 7, 83193, 39, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 39, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 15, 595, 12264, 101, 320, 83193, 39, 340, 7, 83193, 39, 8, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 39, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 39, 8, 12264, 101, 320, 83193, 7, 15, 75078, 473, 1192, 1163, 8477, 25, 320, 83193, 39, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 39, 340, 7, 83193, 39, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 39, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 39, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 258, "data_type": "boolean", "txt": "Original: (\u00ac(H \u2228 H)) \u2228 (\u00ac(H \u2227 0))\n\nOptions:\n(\u00ac(H \u2227 0)) \u2228 (\u00ac(H \u2228 H))\n(\u00ac(H \u2228 H)) \u2228 ((\u00acH) \u2228 (\u00ac0))\n(\u00ac(H \u2228 H)) \u2228 (\u00ac0)\n(\u00ac(H \u2228 H)) \u2228 (\u00ac(0 \u2227 H))\n((\u00acH) \u2227 (\u00acH)) \u2228 (\u00ac(H \u2227 0))\n(\u00acH) \u2228 (\u00ac(H \u2227 0))\nChosen: (\u00acH) \u2228 (\u00ac(H \u2227 0))\n\nOptions:\n(\u00ac(H \u2227 0)) \u2228 (\u00acH)\n(\u00acH) \u2228 ((\u00acH) \u2228 (\u00ac0))\n(\u00acH) \u2228 (\u00ac0)\n(\u00acH) \u2228 (\u00ac(0 \u2227 H))\nChosen: (\u00acH) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00acH)\n(\u00acH) \u2228 1\nChosen: (\u00acH) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00acH)\nChosen: 1", "id": 1582}, {"char_len": 855, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 51, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 51, 595, 75078, 320, 15, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 83193, 51, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 51, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 51, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 51, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 51, 595, 75078, 220, 15, 198, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 51, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 51, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 1819, 83193, 51, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 51, 4489, 3883, 512, 7, 15, 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, 220, 15, 8, 75078, 320, 83193, 51, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 83193, 51, 1192, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 83193, 51, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 83193, 51, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 15, 75078, 1819, 83193, 51, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 6054, 7, 15, 75078, 320, 83193, 51, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 7, 15, 75078, 320, 83193, 51, 595, 75078, 320, 83193, 16, 340, 15, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 51, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 83193, 51, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 83193, 51, 1192, 15, 75078, 1819, 83193, 51, 8, 75078, 320, 83193, 16, 1192, 7, 15, 75078, 320, 83193, 51, 595, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 1209, 83193, 51, 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": 560, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 1)) \u2227 ((\u00acT) \u2227 (0 \u2227 0))\n\nOptions:\n((\u00acT) \u2227 (0 \u2227 0)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (\u00acT)) \u2227 (0 \u2227 0)\n(\u00ac(1 \u2228 1)) \u2227 ((0 \u2227 0) \u2227 (\u00acT))\n(\u00ac(1 \u2228 1)) \u2227 (((\u00acT) \u2227 0) \u2227 0)\n(\u00ac(1 \u2228 1)) \u2227 ((\u00acT) \u2227 0)\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((\u00acT) \u2227 (0 \u2227 0))\n(\u00ac1) \u2227 ((\u00acT) \u2227 (0 \u2227 0))\nChosen: (\u00ac(1 \u2228 1)) \u2227 ((\u00acT) \u2227 0)\n\nOptions:\n((\u00acT) \u2227 0) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 (\u00acT)) \u2227 0\n(\u00ac(1 \u2228 1)) \u2227 0\n(\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (\u00acT))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 ((\u00acT) \u2227 0)\n(\u00ac1) \u2227 ((\u00acT) \u2227 0)\nChosen: (\u00ac(1 \u2228 1)) \u2227 (0 \u2227 (\u00acT))\n\nOptions:\n(0 \u2227 (\u00acT)) \u2227 (\u00ac(1 \u2228 1))\n((\u00ac(1 \u2228 1)) \u2227 0) \u2227 (\u00acT)\n(\u00ac(1 \u2228 1)) \u2227 0\n((\u00ac1) \u2227 (\u00ac1)) \u2227 (0 \u2227 (\u00acT))\n(\u00ac1) \u2227 (0 \u2227 (\u00acT))\nChosen: (0 \u2227 (\u00acT)) \u2227 (\u00ac(1 \u2228 1))\n\nOptions:\n0 \u2227 ((\u00acT) \u2227 (\u00ac(1 \u2228 1)))\n(0 \u2227 (\u00acT)) \u2227 ((\u00ac1) \u2227 (\u00ac1))\n(0 \u2227 (\u00acT)) \u2227 (\u00ac1)\n0 \u2227 (\u00ac(1 \u2228 1))\n((\u00acT) \u2227 0) \u2227 (\u00ac(1 \u2228 1))\nChosen: (0 \u2227 (\u00acT)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (0 \u2227 (\u00acT))\n0 \u2227 ((\u00acT) \u2227 (\u00ac1))\n(0 \u2227 (\u00acT)) \u2227 0\n0 \u2227 (\u00ac1)\n((\u00acT) \u2227 0) \u2227 (\u00ac1)\nChosen: 0 \u2227 (\u00ac1)", "id": 1583}, {"char_len": 1074, "tokens": [18902, 25, 1819, 34, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 320, 83193, 7, 35, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 356, 595, 75078, 1819, 34, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 423, 1192, 1209, 34, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 75078, 220, 15, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 320, 83193, 7, 34, 75078, 423, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 320, 34, 75078, 220, 15, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 6774, 34, 75078, 220, 15, 8, 12264, 101, 423, 8, 12264, 101, 423, 8, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1209, 34, 75078, 220, 15, 8, 12264, 101, 423, 8, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 7, 15, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1209, 15, 75078, 356, 8, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1163, 8477, 25, 1819, 35, 12264, 101, 423, 8, 12264, 101, 320, 34, 75078, 220, 15, 595, 75078, 320, 83193, 7, 35, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 356, 595, 75078, 1819, 35, 12264, 101, 423, 8, 12264, 101, 320, 34, 75078, 220, 15, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 320, 34, 75078, 220, 15, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 320, 34, 75078, 220, 15, 595, 75078, 320, 83193, 7, 34, 75078, 423, 1192, 5549, 12264, 101, 320, 35, 12264, 101, 320, 34, 75078, 220, 15, 7861, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 6774, 35, 12264, 101, 423, 8, 12264, 101, 356, 8, 75078, 1819, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 320, 15, 75078, 356, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 5549, 12264, 101, 320, 34, 75078, 220, 15, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1163, 8477, 25, 1819, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 35, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 356, 595, 75078, 1819, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 340, 1209, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 35, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 34, 75078, 423, 1192, 5549, 12264, 101, 423, 8, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 7, 15, 12264, 101, 320, 35, 12264, 101, 423, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 5549, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 5549, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1163, 8477, 25, 320, 35, 12264, 101, 423, 8, 75078, 320, 83193, 7, 35, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 356, 595, 75078, 320, 35, 12264, 101, 423, 340, 5549, 12264, 101, 423, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 34, 1192, 5549, 12264, 101, 423, 8, 75078, 320, 83193, 7, 34, 75078, 423, 1192, 35, 75078, 320, 83193, 7, 35, 75078, 356, 1192, 1163, 8477, 25, 423, 75078, 320, 83193, 7, 35, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 35, 75078, 356, 595, 75078, 423, 198, 35, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 34, 1192, 35, 75078, 320, 83193, 7, 34, 75078, 423, 1192, 1163, 8477, 25, 423, 75078, 320, 83193, 7, 34, 75078, 423, 595], "tokenizer": "cl100k_base", "tokens_len": 675, "data_type": "boolean", "txt": "Original: ((C \u2227 0) \u2228 (D \u2228 D)) \u2227 (\u00ac(D \u2227 C))\n\nOptions:\n(\u00ac(D \u2227 C)) \u2227 ((C \u2227 0) \u2228 (D \u2228 D))\n((C \u2227 0) \u2228 (D \u2228 D)) \u2227 ((\u00acD) \u2228 (\u00acC))\n((C \u2227 0) \u2228 (D \u2228 D)) \u2227 (\u00ac(C \u2227 D))\n((D \u2228 D) \u2228 (C \u2227 0)) \u2227 (\u00ac(D \u2227 C))\n(((C \u2227 0) \u2228 D) \u2228 D) \u2227 (\u00ac(D \u2227 C))\n((C \u2227 0) \u2228 D) \u2227 (\u00ac(D \u2227 C))\n(0 \u2228 (D \u2228 D)) \u2227 (\u00ac(D \u2227 C))\n((0 \u2227 C) \u2228 (D \u2228 D)) \u2227 (\u00ac(D \u2227 C))\nChosen: ((D \u2228 D) \u2228 (C \u2227 0)) \u2227 (\u00ac(D \u2227 C))\n\nOptions:\n(\u00ac(D \u2227 C)) \u2227 ((D \u2228 D) \u2228 (C \u2227 0))\n((D \u2228 D) \u2228 (C \u2227 0)) \u2227 ((\u00acD) \u2228 (\u00acC))\n((D \u2228 D) \u2228 (C \u2227 0)) \u2227 (\u00ac(C \u2227 D))\n(D \u2228 (D \u2228 (C \u2227 0))) \u2227 (\u00ac(D \u2227 C))\n(((D \u2228 D) \u2228 C) \u2227 ((D \u2228 D) \u2228 0)) \u2227 (\u00ac(D \u2227 C))\n((D \u2228 D) \u2228 0) \u2227 (\u00ac(D \u2227 C))\n((D \u2228 D) \u2228 (0 \u2227 C)) \u2227 (\u00ac(D \u2227 C))\n(D \u2228 (C \u2227 0)) \u2227 (\u00ac(D \u2227 C))\nChosen: ((D \u2228 D) \u2228 0) \u2227 (\u00ac(D \u2227 C))\n\nOptions:\n(\u00ac(D \u2227 C)) \u2227 ((D \u2228 D) \u2228 0)\n((D \u2228 D) \u2228 0) \u2227 ((\u00acD) \u2228 (\u00acC))\n((D \u2228 D) \u2228 0) \u2227 (\u00ac(C \u2227 D))\n(D \u2228 D) \u2227 (\u00ac(D \u2227 C))\n(0 \u2228 (D \u2228 D)) \u2227 (\u00ac(D \u2227 C))\n(D \u2228 (D \u2228 0)) \u2227 (\u00ac(D \u2227 C))\n(D \u2228 0) \u2227 (\u00ac(D \u2227 C))\nChosen: (D \u2228 D) \u2227 (\u00ac(D \u2227 C))\n\nOptions:\n(\u00ac(D \u2227 C)) \u2227 (D \u2228 D)\n(D \u2228 D) \u2227 ((\u00acD) \u2228 (\u00acC))\n(D \u2228 D) \u2227 (\u00ac(C \u2227 D))\nD \u2227 (\u00ac(D \u2227 C))\nChosen: D \u2227 (\u00ac(D \u2227 C))\n\nOptions:\n(\u00ac(D \u2227 C)) \u2227 D\nD \u2227 ((\u00acD) \u2228 (\u00acC))\nD \u2227 (\u00ac(C \u2227 D))\nChosen: D \u2227 (\u00ac(C \u2227 D))", "id": 1584}, {"char_len": 1599, "tokens": [18902, 25, 320, 83193, 7, 83193, 38, 595, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 480, 4489, 3883, 512, 1209, 42, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 480, 595, 75078, 320, 83193, 7, 83193, 38, 1192, 1209, 83193, 7, 83193, 38, 595, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 7, 83193, 38, 595, 75078, 320, 16, 75078, 480, 1192, 7, 83193, 7, 83193, 38, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 42, 75078, 220, 15, 1192, 7, 83193, 7, 83193, 38, 595, 75078, 11861, 42, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 480, 1192, 7, 83193, 7, 83193, 38, 595, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 480, 340, 7, 83193, 7, 83193, 38, 595, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 38, 595, 75078, 320, 15, 12264, 101, 320, 16, 75078, 480, 1192, 7, 83193, 7, 83193, 38, 595, 75078, 1819, 15, 75078, 735, 8, 12264, 101, 320, 16, 75078, 480, 1192, 38, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 480, 1192, 1163, 8477, 25, 480, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 480, 4489, 3883, 512, 1209, 42, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 480, 595, 75078, 480, 198, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 1192, 38, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 42, 75078, 220, 15, 1192, 38, 75078, 11861, 42, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 480, 1192, 38, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 480, 340, 38, 75078, 1819, 42, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 220, 16, 1192, 38, 75078, 320, 15, 12264, 101, 320, 16, 75078, 480, 1192, 38, 75078, 1819, 15, 75078, 735, 8, 12264, 101, 320, 16, 75078, 480, 1192, 1163, 8477, 25, 320, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 4489, 3883, 512, 6838, 75078, 320, 16, 75078, 480, 595, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 1209, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 480, 8, 75078, 1819, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 480, 1192, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 1819, 16, 75078, 480, 8, 75078, 480, 340, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 340, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 480, 340, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 320, 38, 75078, 220, 16, 1192, 1209, 42, 75078, 220, 15, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 1192, 1209, 38, 75078, 735, 8, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 1192, 6838, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 1192, 6838, 75078, 320, 15, 75078, 735, 595, 12264, 101, 320, 38, 75078, 320, 16, 75078, 480, 1192, 1163, 8477, 25, 320, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 696, 3883, 512, 1209, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 1209, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 220, 16, 595, 75078, 1819, 38, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 480, 340, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 320, 38, 75078, 220, 16, 1192, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 480, 340, 6838, 75078, 320, 42, 75078, 220, 15, 595, 12264, 101, 1819, 16, 75078, 480, 8, 75078, 480, 340, 1209, 42, 75078, 220, 15, 8, 75078, 480, 8, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 340, 1209, 38, 75078, 735, 8, 75078, 220, 15, 8, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 340, 6838, 75078, 220, 15, 8, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 340, 6838, 75078, 320, 15, 75078, 735, 595, 12264, 101, 1819, 38, 75078, 220, 16, 8, 75078, 480, 340, 1163, 8477, 25, 1819, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 4489, 3883, 512, 6774, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 480, 8, 75078, 11861, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 320, 42, 75078, 220, 15, 1192, 1209, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 1819, 42, 75078, 220, 15, 8, 75078, 480, 340, 1209, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 1819, 38, 75078, 735, 8, 75078, 220, 15, 340, 1209, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 220, 15, 340, 1209, 38, 75078, 220, 16, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 15, 75078, 735, 1192, 6838, 75078, 320, 38, 75078, 220, 16, 595, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 6838, 75078, 320, 16, 75078, 480, 595, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 6838, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 1209, 16, 75078, 480, 8, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 38, 75078, 480, 8, 12264, 101, 320, 38, 75078, 320, 42, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 991, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acG)) \u2227 ((K \u2227 0) \u2228 (1 \u2227 G))\n\nOptions:\n((K \u2227 0) \u2228 (1 \u2227 G)) \u2227 (\u00ac(\u00acG))\n((\u00ac(\u00acG)) \u2227 (K \u2227 0)) \u2228 ((\u00ac(\u00acG)) \u2227 (1 \u2227 G))\n(\u00ac(\u00acG)) \u2227 ((1 \u2227 G) \u2228 (K \u2227 0))\n(\u00ac(\u00acG)) \u2227 (((K \u2227 0) \u2228 1) \u2227 ((K \u2227 0) \u2228 G))\n(\u00ac(\u00acG)) \u2227 ((K \u2227 0) \u2228 G)\n(\u00ac(\u00acG)) \u2227 ((K \u2227 0) \u2228 (G \u2227 1))\n(\u00ac(\u00acG)) \u2227 (0 \u2228 (1 \u2227 G))\n(\u00ac(\u00acG)) \u2227 ((0 \u2227 K) \u2228 (1 \u2227 G))\nG \u2227 ((K \u2227 0) \u2228 (1 \u2227 G))\nChosen: G \u2227 ((K \u2227 0) \u2228 (1 \u2227 G))\n\nOptions:\n((K \u2227 0) \u2228 (1 \u2227 G)) \u2227 G\n(G \u2227 (K \u2227 0)) \u2228 (G \u2227 (1 \u2227 G))\nG \u2227 ((1 \u2227 G) \u2228 (K \u2227 0))\nG \u2227 (((K \u2227 0) \u2228 1) \u2227 ((K \u2227 0) \u2228 G))\nG \u2227 ((K \u2227 0) \u2228 G)\nG \u2227 ((K \u2227 0) \u2228 (G \u2227 1))\nG \u2227 (0 \u2228 (1 \u2227 G))\nG \u2227 ((0 \u2227 K) \u2228 (1 \u2227 G))\nChosen: (G \u2227 (K \u2227 0)) \u2228 (G \u2227 (1 \u2227 G))\n\nOptions:\n(G \u2227 (1 \u2227 G)) \u2228 (G \u2227 (K \u2227 0))\n((G \u2227 (K \u2227 0)) \u2228 G) \u2227 ((G \u2227 (K \u2227 0)) \u2228 (1 \u2227 G))\n(G \u2227 (K \u2227 0)) \u2228 ((1 \u2227 G) \u2227 G)\n(G \u2227 (K \u2227 0)) \u2228 ((G \u2227 1) \u2227 G)\n(G \u2227 (K \u2227 0)) \u2228 (G \u2227 G)\n(G \u2227 (K \u2227 0)) \u2228 (G \u2227 (G \u2227 1))\n((K \u2227 0) \u2227 G) \u2228 (G \u2227 (1 \u2227 G))\n((G \u2227 K) \u2227 0) \u2228 (G \u2227 (1 \u2227 G))\n(G \u2227 0) \u2228 (G \u2227 (1 \u2227 G))\n(G \u2227 (0 \u2227 K)) \u2228 (G \u2227 (1 \u2227 G))\nChosen: (G \u2227 (K \u2227 0)) \u2228 ((G \u2227 1) \u2227 G)\n\nOptions:\n((G \u2227 1) \u2227 G) \u2228 (G \u2227 (K \u2227 0))\n((G \u2227 (K \u2227 0)) \u2228 (G \u2227 1)) \u2227 ((G \u2227 (K \u2227 0)) \u2228 G)\n(G \u2227 (K \u2227 0)) \u2228 (G \u2227 (G \u2227 1))\n(G \u2227 (K \u2227 0)) \u2228 (G \u2227 G)\n(G \u2227 (K \u2227 0)) \u2228 ((1 \u2227 G) \u2227 G)\n((K \u2227 0) \u2227 G) \u2228 ((G \u2227 1) \u2227 G)\n((G \u2227 K) \u2227 0) \u2228 ((G \u2227 1) \u2227 G)\n(G \u2227 0) \u2228 ((G \u2227 1) \u2227 G)\n(G \u2227 (0 \u2227 K)) \u2228 ((G \u2227 1) \u2227 G)\nChosen: ((G \u2227 1) \u2227 G) \u2228 (G \u2227 (K \u2227 0))\n\nOptions:\n(((G \u2227 1) \u2227 G) \u2228 G) \u2227 (((G \u2227 1) \u2227 G) \u2228 (K \u2227 0))\n((G \u2227 1) \u2227 G) \u2228 ((K \u2227 0) \u2227 G)\n((G \u2227 1) \u2227 G) \u2228 ((G \u2227 K) \u2227 0)\n((G \u2227 1) \u2227 G) \u2228 (G \u2227 0)\n((G \u2227 1) \u2227 G) \u2228 (G \u2227 (0 \u2227 K))\n(G \u2227 (G \u2227 1)) \u2228 (G \u2227 (K \u2227 0))\n(G \u2227 (1 \u2227 G)) \u2228 (G \u2227 (K \u2227 0))\n(G \u2227 G) \u2228 (G \u2227 (K \u2227 0))\n((1 \u2227 G) \u2227 G) \u2228 (G \u2227 (K \u2227 0))\nChosen: (G \u2227 G) \u2228 (G \u2227 (K \u2227 0))", "id": 1585}, {"char_len": 2262, "tokens": [18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 38, 75078, 358, 340, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 480, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 1819, 38, 75078, 358, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 11861, 15, 75078, 220, 16, 8, 12264, 101, 480, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 358, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 480, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 6774, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 480, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 83193, 16, 8, 12264, 101, 480, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 38, 75078, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 7, 15, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1163, 8477, 25, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 38, 75078, 358, 340, 7, 16, 75078, 480, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 6054, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 38, 75078, 358, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 11861, 15, 75078, 220, 16, 8, 12264, 101, 480, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 480, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 6838, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 38, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1163, 8477, 25, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 4489, 3883, 512, 7, 15, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 340, 7, 16, 75078, 480, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 6054, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 38, 75078, 358, 340, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 38, 75078, 358, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 15, 12264, 101, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 6838, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 1209, 38, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 1163, 8477, 25, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 4489, 3883, 512, 7, 15, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 340, 7, 16, 75078, 480, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 6054, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 40, 75078, 480, 340, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 15, 12264, 101, 358, 8, 75078, 320, 15, 12264, 101, 480, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 1209, 16, 75078, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 6838, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 1209, 38, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 1163, 8477, 25, 11861, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 696, 3883, 512, 9149, 75078, 480, 8, 12264, 101, 11861, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 340, 67944, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 358, 8, 75078, 52200, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 480, 340, 6774, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 340, 1209, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 40, 75078, 480, 340, 7, 15, 12264, 101, 1819, 16, 75078, 480, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 320, 40, 75078, 480, 340, 1209, 16, 75078, 480, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 12264, 101, 320, 40, 75078, 480, 340, 6774, 83193, 16, 8, 12264, 101, 320, 16, 75078, 480, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 340, 6774, 16, 75078, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 340, 1209, 38, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 340, 6774, 38, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 340, 1163, 8477, 25, 11861, 16, 75078, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 8], "tokenizer": "cl100k_base", "tokens_len": 1495, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2228 (1 \u2227 G)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n\nOptions:\n((0 \u2227 1) \u2228 (G \u2227 I)) \u2228 ((\u00ac1) \u2228 (1 \u2227 G))\n(((\u00ac1) \u2228 (1 \u2227 G)) \u2228 (0 \u2227 1)) \u2228 (G \u2227 I)\n(\u00ac1) \u2228 ((1 \u2227 G) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I)))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 ((G \u2227 I) \u2228 (0 \u2227 1))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 (((0 \u2227 1) \u2228 G) \u2227 ((0 \u2227 1) \u2228 I))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 ((0 \u2227 1) \u2228 (I \u2227 G))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 (0 \u2228 (G \u2227 I))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 ((1 \u2227 0) \u2228 (G \u2227 I))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n(((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 G)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n((\u00ac1) \u2228 G) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n((\u00ac1) \u2228 (G \u2227 1)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n(0 \u2228 (1 \u2227 G)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\nChosen: ((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n\nOptions:\n((0 \u2227 1) \u2228 (G \u2227 I)) \u2228 ((1 \u2227 G) \u2228 (\u00ac1))\n(((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (0 \u2227 1)) \u2228 (G \u2227 I)\n(1 \u2227 G) \u2228 ((\u00ac1) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I)))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((G \u2227 I) \u2228 (0 \u2227 1))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (((0 \u2227 1) \u2228 G) \u2227 ((0 \u2227 1) \u2228 I))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (I \u2227 G))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (0 \u2228 (G \u2227 I))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((1 \u2227 0) \u2228 (G \u2227 I))\n((1 \u2227 G) \u2228 0) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n(G \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\n((G \u2227 1) \u2228 (\u00ac1)) \u2228 ((0 \u2227 1) \u2228 (G \u2227 I))\nChosen: ((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (0 \u2228 (G \u2227 I))\n\nOptions:\n(0 \u2228 (G \u2227 I)) \u2228 ((1 \u2227 G) \u2228 (\u00ac1))\n(((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 (G \u2227 I)\n(1 \u2227 G) \u2228 ((\u00ac1) \u2228 (0 \u2228 (G \u2227 I)))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (G \u2227 I)\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((G \u2227 I) \u2228 0)\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((0 \u2228 G) \u2227 (0 \u2228 I))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (0 \u2228 (I \u2227 G))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 (0 \u2228 (G \u2227 I))\n((1 \u2227 G) \u2228 0) \u2228 (0 \u2228 (G \u2227 I))\n(G \u2228 (\u00ac1)) \u2228 (0 \u2228 (G \u2227 I))\n((G \u2227 1) \u2228 (\u00ac1)) \u2228 (0 \u2228 (G \u2227 I))\nChosen: ((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (0 \u2228 (I \u2227 G))\n\nOptions:\n(0 \u2228 (I \u2227 G)) \u2228 ((1 \u2227 G) \u2228 (\u00ac1))\n(((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 (I \u2227 G)\n(1 \u2227 G) \u2228 ((\u00ac1) \u2228 (0 \u2228 (I \u2227 G)))\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (I \u2227 G)\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((I \u2227 G) \u2228 0)\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 ((0 \u2228 I) \u2227 (0 \u2228 G))\n((\u00ac1) \u2228 (1 \u2227 G)) \u2228 (0 \u2228 (I \u2227 G))\n((1 \u2227 G) \u2228 0) \u2228 (0 \u2228 (I \u2227 G))\n(G \u2228 (\u00ac1)) \u2228 (0 \u2228 (I \u2227 G))\n((G \u2227 1) \u2228 (\u00ac1)) \u2228 (0 \u2228 (I \u2227 G))\nChosen: (((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 (I \u2227 G)\n\nOptions:\n(I \u2227 G) \u2228 (((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0)\n((((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 I) \u2227 ((((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 G)\n(((1 \u2227 G) \u2228 (\u00ac1)) \u2228 0) \u2228 (G \u2227 I)\n((1 \u2227 G) \u2228 (\u00ac1)) \u2228 (I \u2227 G)\n(0 \u2228 ((1 \u2227 G) \u2228 (\u00ac1))) \u2228 (I \u2227 G)\n((1 \u2227 G) \u2228 ((\u00ac1) \u2228 0)) \u2228 (I \u2227 G)\n(((\u00ac1) \u2228 (1 \u2227 G)) \u2228 0) \u2228 (I \u2227 G)\n(((1 \u2227 G) \u2228 0) \u2228 0) \u2228 (I \u2227 G)\n((G \u2228 (\u00ac1)) \u2228 0) \u2228 (I \u2227 G)\n(((G \u2227 1) \u2228 (\u00ac1)) \u2228 0) \u2228 (I \u2227 G)\nChosen: (((1 \u2227 G) \u2228 0) \u2228 0) \u2228 (I \u2227 G)", "id": 1586}, {"char_len": 1386, "tokens": [18902, 25, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 1192, 6774, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 320, 40, 12264, 101, 358, 595, 75078, 320, 83193, 15, 340, 7, 83193, 40, 8, 75078, 1819, 55, 12264, 101, 220, 15, 8, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 6054, 1209, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 40, 12264, 101, 358, 1192, 1209, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 220, 16, 340, 1209, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 1209, 55, 12264, 101, 220, 15, 8, 75078, 320, 83193, 40, 595, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 40, 8, 75078, 1630, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 220, 15, 595, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 75078, 1630, 8, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 75078, 320, 15, 12264, 101, 1630, 595, 75078, 1819, 40, 12264, 101, 358, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 320, 40, 75078, 320, 83193, 15, 4489, 3883, 512, 9149, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 1192, 6774, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 358, 8, 75078, 320, 83193, 15, 340, 7, 83193, 40, 8, 75078, 1819, 55, 12264, 101, 220, 15, 8, 75078, 320, 40, 75078, 320, 83193, 15, 6054, 1209, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 358, 340, 1209, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 595, 75078, 320, 40, 75078, 220, 16, 340, 1209, 55, 12264, 101, 220, 15, 8, 75078, 320, 83193, 40, 595, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 6774, 83193, 40, 8, 75078, 1630, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 220, 15, 595, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 75078, 1630, 8, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 75078, 320, 15, 12264, 101, 1630, 595, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 40, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 40, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 40, 595, 75078, 320, 55, 12264, 101, 220, 15, 340, 40, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 6054, 9149, 75078, 320, 83193, 15, 595, 75078, 1819, 55, 12264, 101, 220, 15, 8, 75078, 320, 83193, 40, 1192, 9149, 75078, 320, 83193, 15, 595, 75078, 11861, 83193, 40, 8, 75078, 1630, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 220, 15, 1192, 9149, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 1630, 340, 9149, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 15, 12264, 101, 1630, 1192, 1209, 83193, 15, 8, 75078, 358, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 1192, 9149, 75078, 220, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 55, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 40, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 40, 8, 75078, 1630, 696, 3883, 512, 1209, 83193, 40, 8, 75078, 1630, 8, 75078, 320, 40, 75078, 320, 83193, 15, 1192, 1209, 40, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 40, 595, 75078, 1630, 198, 40, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 40, 8, 75078, 1630, 1192, 9149, 75078, 320, 83193, 15, 595, 75078, 320, 55, 75078, 320, 83193, 40, 1192, 1209, 83193, 15, 8, 75078, 358, 8, 75078, 1819, 83193, 40, 8, 75078, 1630, 340, 9149, 75078, 220, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 1630, 340, 1163, 8477, 25, 358, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 40, 8, 75078, 1630, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 1819, 83193, 40, 8, 75078, 1630, 595, 75078, 358, 198, 40, 75078, 11861, 83193, 40, 8, 75078, 1630, 8, 75078, 320, 83193, 15, 1192, 40, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 40, 595, 75078, 1630, 340, 40, 75078, 1819, 83193, 15, 8, 75078, 320, 55, 75078, 320, 83193, 40, 6054, 40, 75078, 320, 16, 75078, 1819, 83193, 40, 8, 75078, 1630, 1192, 1163, 8477, 25, 358, 75078, 320, 16, 75078, 1819, 83193, 40, 8, 75078, 1630, 595], "tokenizer": "cl100k_base", "tokens_len": 850, "data_type": "boolean", "txt": "Original: ((\u00acI) \u2227 (X \u2228 0)) \u2227 ((I \u2228 I) \u2227 (\u00ac0))\n\nOptions:\n((I \u2228 I) \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 (X \u2228 0))\n(((\u00acI) \u2227 (X \u2228 0)) \u2227 (I \u2228 I)) \u2227 (\u00ac0)\n(\u00acI) \u2227 ((X \u2228 0) \u2227 ((I \u2228 I) \u2227 (\u00ac0)))\n((\u00acI) \u2227 (X \u2228 0)) \u2227 ((\u00ac0) \u2227 (I \u2228 I))\n((\u00acI) \u2227 (X \u2228 0)) \u2227 ((I \u2228 I) \u2227 1)\n((\u00acI) \u2227 (X \u2228 0)) \u2227 (I \u2227 (\u00ac0))\n((X \u2228 0) \u2227 (\u00acI)) \u2227 ((I \u2228 I) \u2227 (\u00ac0))\n(((\u00acI) \u2227 X) \u2228 ((\u00acI) \u2227 0)) \u2227 ((I \u2228 I) \u2227 (\u00ac0))\n((\u00acI) \u2227 X) \u2227 ((I \u2228 I) \u2227 (\u00ac0))\n((\u00acI) \u2227 (0 \u2228 X)) \u2227 ((I \u2228 I) \u2227 (\u00ac0))\nChosen: ((\u00acI) \u2227 (X \u2228 0)) \u2227 (I \u2227 (\u00ac0))\n\nOptions:\n(I \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 (X \u2228 0))\n(((\u00acI) \u2227 (X \u2228 0)) \u2227 I) \u2227 (\u00ac0)\n(\u00acI) \u2227 ((X \u2228 0) \u2227 (I \u2227 (\u00ac0)))\n((\u00acI) \u2227 (X \u2228 0)) \u2227 ((\u00ac0) \u2227 I)\n((\u00acI) \u2227 (X \u2228 0)) \u2227 (I \u2227 1)\n((X \u2228 0) \u2227 (\u00acI)) \u2227 (I \u2227 (\u00ac0))\n(((\u00acI) \u2227 X) \u2228 ((\u00acI) \u2227 0)) \u2227 (I \u2227 (\u00ac0))\n((\u00acI) \u2227 X) \u2227 (I \u2227 (\u00ac0))\n((\u00acI) \u2227 (0 \u2228 X)) \u2227 (I \u2227 (\u00ac0))\nChosen: (I \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 (X \u2228 0))\n\nOptions:\n((I \u2227 (\u00ac0)) \u2227 (\u00acI)) \u2227 (X \u2228 0)\nI \u2227 ((\u00ac0) \u2227 ((\u00acI) \u2227 (X \u2228 0)))\n(I \u2227 (\u00ac0)) \u2227 ((X \u2228 0) \u2227 (\u00acI))\n(I \u2227 (\u00ac0)) \u2227 (((\u00acI) \u2227 X) \u2228 ((\u00acI) \u2227 0))\n(I \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 X)\n(I \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 (0 \u2228 X))\n((\u00ac0) \u2227 I) \u2227 ((\u00acI) \u2227 (X \u2228 0))\n(I \u2227 1) \u2227 ((\u00acI) \u2227 (X \u2228 0))\nChosen: (I \u2227 (\u00ac0)) \u2227 ((\u00acI) \u2227 X)\n\nOptions:\n((\u00acI) \u2227 X) \u2227 (I \u2227 (\u00ac0))\n((I \u2227 (\u00ac0)) \u2227 (\u00acI)) \u2227 X\nI \u2227 ((\u00ac0) \u2227 ((\u00acI) \u2227 X))\n(I \u2227 (\u00ac0)) \u2227 (X \u2227 (\u00acI))\n((\u00ac0) \u2227 I) \u2227 ((\u00acI) \u2227 X)\n(I \u2227 1) \u2227 ((\u00acI) \u2227 X)\nChosen: I \u2227 ((\u00ac0) \u2227 ((\u00acI) \u2227 X))\n\nOptions:\n((\u00ac0) \u2227 ((\u00acI) \u2227 X)) \u2227 I\nI \u2227 (((\u00acI) \u2227 X) \u2227 (\u00ac0))\nI \u2227 (((\u00ac0) \u2227 (\u00acI)) \u2227 X)\nI \u2227 ((\u00ac0) \u2227 (X \u2227 (\u00acI)))\nI \u2227 (1 \u2227 ((\u00acI) \u2227 X))\nChosen: I \u2227 (1 \u2227 ((\u00acI) \u2227 X))", "id": 1587}, {"char_len": 70, "tokens": [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": 34, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00ac1))\n\nOptions:\n\u00ac1\n\u00ac(\u00ac0)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1588}, {"char_len": 567, "tokens": [18902, 25, 97265, 1209, 83193, 52, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 52, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 52, 1192, 83193, 6774, 83193, 52, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 52, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 52, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 52, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 52, 1192, 7, 83193, 7, 83193, 52, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 52, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 83193, 52, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 52, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 549, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 549, 198, 52, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 52, 75078, 320, 83193, 16, 340, 52, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 549, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 549, 198, 52, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 52, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 549, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 549, 198, 12597, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 15, 340, 52, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 52, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 52, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 549, 75078, 320, 15, 75078, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 360, "data_type": "boolean", "txt": "Original: \u00ac((\u00acU) \u2228 (0 \u2228 1))\n\nOptions:\n(\u00ac(\u00acU)) \u2227 (\u00ac(0 \u2228 1))\n\u00ac((0 \u2228 1) \u2228 (\u00acU))\n\u00ac(((\u00acU) \u2228 0) \u2228 1)\n\u00ac((\u00acU) \u2228 1)\n\u00ac((\u00acU) \u2228 (1 \u2228 0))\nChosen: (\u00ac(\u00acU)) \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac(\u00acU))\n(\u00ac(\u00acU)) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n(\u00ac(\u00acU)) \u2227 (\u00ac1)\n(\u00ac(\u00acU)) \u2227 (\u00ac(1 \u2228 0))\nU \u2227 (\u00ac(0 \u2228 1))\nChosen: U \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 U\nU \u2227 ((\u00ac0) \u2227 (\u00ac1))\nU \u2227 (\u00ac1)\nU \u2227 (\u00ac(1 \u2228 0))\nChosen: U \u2227 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 U\nU \u2227 ((\u00ac1) \u2227 (\u00ac0))\nU \u2227 (\u00ac1)\nChosen: U \u2227 ((\u00ac1) \u2227 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2227 (\u00ac0)) \u2227 U\n(U \u2227 (\u00ac1)) \u2227 (\u00ac0)\nU \u2227 ((\u00ac0) \u2227 (\u00ac1))\nU \u2227 ((\u00ac1) \u2227 1)\nU \u2227 (0 \u2227 (\u00ac0))\nChosen: U \u2227 (0 \u2227 (\u00ac0))", "id": 1589}, {"char_len": 900, "tokens": [18902, 25, 320, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 37, 12264, 101, 220, 15, 1192, 1209, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 36, 12264, 101, 220, 15, 340, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 11861, 15, 12264, 101, 220, 15, 8, 75078, 469, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 220, 15, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 469, 340, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 469, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 36, 12264, 101, 220, 15, 1192, 1209, 83193, 37, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 1192, 7, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 36, 12264, 101, 220, 15, 340, 7, 83193, 37, 8, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 37, 8, 75078, 11861, 15, 12264, 101, 220, 15, 8, 75078, 469, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 220, 15, 1192, 7, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 469, 340, 7, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 469, 1192, 7, 83193, 37, 8, 75078, 320, 15, 75078, 320, 36, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 469, 696, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 75078, 469, 8, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 469, 198, 7, 83193, 37, 8, 75078, 320, 36, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 37, 8, 75078, 320, 15, 75078, 469, 340, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 320, 15, 75078, 469, 696, 3883, 512, 7, 15, 75078, 469, 8, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 220, 15, 8, 75078, 469, 198, 7, 83193, 37, 8, 75078, 220, 15, 198, 7, 83193, 37, 8, 75078, 320, 36, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 37, 8, 75078, 220, 15, 8, 75078, 469, 271, 3883, 512, 36, 75078, 1819, 83193, 37, 8, 75078, 220, 15, 340, 15, 75078, 469, 198, 7, 15, 75078, 320, 83193, 37, 595, 75078, 469, 198, 1163, 8477, 25, 220, 15, 75078, 469], "tokenizer": "cl100k_base", "tokens_len": 609, "data_type": "boolean", "txt": "Original: (\u00ac(F \u2228 0)) \u2227 ((0 \u2228 0) \u2227 (E \u2228 0))\n\nOptions:\n((0 \u2228 0) \u2227 (E \u2228 0)) \u2227 (\u00ac(F \u2228 0))\n((\u00ac(F \u2228 0)) \u2227 (0 \u2228 0)) \u2227 (E \u2228 0)\n(\u00ac(F \u2228 0)) \u2227 ((E \u2228 0) \u2227 (0 \u2228 0))\n(\u00ac(F \u2228 0)) \u2227 (((0 \u2228 0) \u2227 E) \u2228 ((0 \u2228 0) \u2227 0))\n(\u00ac(F \u2228 0)) \u2227 ((0 \u2228 0) \u2227 E)\n(\u00ac(F \u2228 0)) \u2227 ((0 \u2228 0) \u2227 (0 \u2228 E))\n(\u00ac(F \u2228 0)) \u2227 (0 \u2227 (E \u2228 0))\n((\u00acF) \u2227 (\u00ac0)) \u2227 ((0 \u2228 0) \u2227 (E \u2228 0))\n(\u00acF) \u2227 ((0 \u2228 0) \u2227 (E \u2228 0))\n(\u00ac(0 \u2228 F)) \u2227 ((0 \u2228 0) \u2227 (E \u2228 0))\nChosen: (\u00acF) \u2227 ((0 \u2228 0) \u2227 (E \u2228 0))\n\nOptions:\n((0 \u2228 0) \u2227 (E \u2228 0)) \u2227 (\u00acF)\n((\u00acF) \u2227 (0 \u2228 0)) \u2227 (E \u2228 0)\n(\u00acF) \u2227 ((E \u2228 0) \u2227 (0 \u2228 0))\n(\u00acF) \u2227 (((0 \u2228 0) \u2227 E) \u2228 ((0 \u2228 0) \u2227 0))\n(\u00acF) \u2227 ((0 \u2228 0) \u2227 E)\n(\u00acF) \u2227 ((0 \u2228 0) \u2227 (0 \u2228 E))\n(\u00acF) \u2227 (0 \u2227 (E \u2228 0))\nChosen: (\u00acF) \u2227 ((0 \u2228 0) \u2227 E)\n\nOptions:\n((0 \u2228 0) \u2227 E) \u2227 (\u00acF)\n((\u00acF) \u2227 (0 \u2228 0)) \u2227 E\n(\u00acF) \u2227 (E \u2227 (0 \u2228 0))\n(\u00acF) \u2227 (0 \u2227 E)\nChosen: (\u00acF) \u2227 (0 \u2227 E)\n\nOptions:\n(0 \u2227 E) \u2227 (\u00acF)\n((\u00acF) \u2227 0) \u2227 E\n(\u00acF) \u2227 0\n(\u00acF) \u2227 (E \u2227 0)\nChosen: ((\u00acF) \u2227 0) \u2227 E\n\nOptions:\nE \u2227 ((\u00acF) \u2227 0)\n0 \u2227 E\n(0 \u2227 (\u00acF)) \u2227 E\nChosen: 0 \u2227 E", "id": 1590}, {"char_len": 214, "tokens": [18902, 25, 97265, 1209, 83193, 45, 8, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 83193, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 45, 1192, 83193, 6774, 83193, 45, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 45, 8, 75078, 220, 16, 1192, 83193, 1209, 83193, 45, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 1209, 83193, 45, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 83193, 45, 340, 83193, 7, 16, 75078, 320, 83193, 45, 1192, 1163, 8477, 25, 97265, 7, 83193, 45, 696, 3883, 512, 45, 198, 1163, 8477, 25, 452], "tokenizer": "cl100k_base", "tokens_len": 130, "data_type": "boolean", "txt": "Original: \u00ac((\u00acN) \u2227 (1 \u2228 1))\n\nOptions:\n(\u00ac(\u00acN)) \u2228 (\u00ac(1 \u2228 1))\n\u00ac((1 \u2228 1) \u2227 (\u00acN))\n\u00ac(((\u00acN) \u2227 1) \u2228 ((\u00acN) \u2227 1))\n\u00ac((\u00acN) \u2227 1)\nChosen: \u00ac((\u00acN) \u2227 1)\n\nOptions:\n(\u00ac(\u00acN)) \u2228 (\u00ac1)\n\u00ac(\u00acN)\n\u00ac(1 \u2227 (\u00acN))\nChosen: \u00ac(\u00acN)\n\nOptions:\nN\nChosen: N", "id": 1591}, {"char_len": 3441, "tokens": [18902, 25, 1819, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 6774, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 473, 8, 12264, 101, 1819, 48, 12264, 101, 220, 16, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 11861, 39, 12264, 101, 220, 16, 8, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 320, 39, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 48, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 473, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 6774, 16, 12264, 101, 473, 8, 12264, 101, 1229, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 39, 12264, 101, 320, 48, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 473, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 16, 12264, 101, 1229, 595, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 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"boolean", "txt": "Original: ((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n\nOptions:\n((H \u2228 1) \u2228 (H \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (Q \u2228 1))\n(((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (H \u2228 1)) \u2228 (H \u2228 1)\n(1 \u2228 H) \u2228 ((Q \u2228 1) \u2228 ((H \u2228 1) \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (((H \u2228 1) \u2228 H) \u2228 1)\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (H \u2228 (1 \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 1)\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (1 \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((Q \u2228 1) \u2228 (1 \u2228 H)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n(((1 \u2228 H) \u2228 Q) \u2228 1) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n(1 \u2228 (H \u2228 (Q \u2228 1))) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n(1 \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n((H \u2228 1) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\nChosen: ((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n\nOptions:\n((H \u2228 1) \u2228 (1 \u2228 H)) \u2228 ((1 \u2228 H) \u2228 (Q \u2228 1))\n(((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (H \u2228 1)) \u2228 (1 \u2228 H)\n(1 \u2228 H) \u2228 ((Q \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H)))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (((H \u2228 1) \u2228 1) \u2228 H)\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (H \u2228 (1 \u2228 (1 \u2228 H)))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 1)\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 (1 \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 H))\n((Q \u2228 1) \u2228 (1 \u2228 H)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(((1 \u2228 H) \u2228 Q) \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(1 \u2228 (H \u2228 (Q \u2228 1))) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(1 \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((H \u2228 1) \u2228 (Q \u2228 1)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\nChosen: ((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n\nOptions:\n((H \u2228 1) \u2228 (1 \u2228 H)) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 Q))\n(((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (H \u2228 1)) \u2228 (1 \u2228 H)\n(1 \u2228 H) \u2228 ((1 \u2228 Q) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H)))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (((H \u2228 1) \u2228 1) \u2228 H)\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (H \u2228 (1 \u2228 (1 \u2228 H)))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 1)\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (1 \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 H))\n((1 \u2228 Q) \u2228 (1 \u2228 H)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(((1 \u2228 H) \u2228 1) \u2228 Q) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(1 \u2228 (H \u2228 (1 \u2228 Q))) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n(1 \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((H \u2228 1) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\nChosen: ((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n\nOptions:\n((1 \u2228 H) \u2228 (H \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 Q))\n(((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (1 \u2228 H)) \u2228 (H \u2228 1)\n(1 \u2228 H) \u2228 ((1 \u2228 Q) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (((1 \u2228 H) \u2228 H) \u2228 1)\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (1 \u2228 (H \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 1)\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 (1 \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (1 \u2228 Q)) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n((1 \u2228 Q) \u2228 (1 \u2228 H)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(((1 \u2228 H) \u2228 1) \u2228 Q) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(1 \u2228 (H \u2228 (1 \u2228 Q))) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 1) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 (Q \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(1 \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((H \u2228 1) \u2228 (1 \u2228 Q)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\nChosen: ((1 \u2228 H) \u2228 1) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n\nOptions:\n((1 \u2228 H) \u2228 (H \u2228 1)) \u2228 ((1 \u2228 H) \u2228 1)\n(((1 \u2228 H) \u2228 1) \u2228 (1 \u2228 H)) \u2228 (H \u2228 1)\n(1 \u2228 H) \u2228 (1 \u2228 ((1 \u2228 H) \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 1) \u2228 (((1 \u2228 H) \u2228 H) \u2228 1)\n((1 \u2228 H) \u2228 1) \u2228 (1 \u2228 (H \u2228 (H \u2228 1)))\n((1 \u2228 H) \u2228 1) \u2228 ((1 \u2228 H) \u2228 1)\n((1 \u2228 H) \u2228 1) \u2228 ((1 \u2228 H) \u2228 (1 \u2228 H))\n((1 \u2228 H) \u2228 1) \u2228 (1 \u2228 (H \u2228 1))\n((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (H \u2228 1))\n1 \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(1 \u2228 (1 \u2228 H)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(1 \u2228 (H \u2228 1)) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n(1 \u2228 1) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\n((H \u2228 1) \u2228 1) \u2228 ((1 \u2228 H) \u2228 (H \u2228 1))\nChosen: ((1 \u2228 H) \u2228 1) \u2228 ((H \u2228 1) \u2228 (1 \u2228 H))", "id": 1592}, {"char_len": 330, "tokens": [18902, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 445, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 445, 1192, 83193, 1209, 15, 12264, 101, 445, 8, 75078, 320, 83193, 15, 1192, 83193, 6774, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 445, 1192, 83193, 1209, 83193, 15, 8, 75078, 445, 340, 83193, 1209, 83193, 15, 8, 75078, 320, 43, 12264, 101, 220, 15, 1192, 83193, 7, 16, 75078, 320, 15, 12264, 101, 445, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 15, 12264, 101, 445, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 445, 1192, 83193, 7, 15, 12264, 101, 445, 340, 83193, 1209, 15, 12264, 101, 445, 8, 75078, 220, 16, 340, 83193, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 445, 1192, 83193, 7, 16, 75078, 445, 340, 83193, 7, 16, 75078, 320, 43, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 445, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 43, 340, 83193, 43, 198, 83193, 7, 43, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 43], "tokenizer": "cl100k_base", "tokens_len": 208, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac0) \u2227 (0 \u2228 L))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(0 \u2228 L))\n\u00ac((0 \u2228 L) \u2227 (\u00ac0))\n\u00ac(((\u00ac0) \u2227 0) \u2228 ((\u00ac0) \u2227 L))\n\u00ac((\u00ac0) \u2227 L)\n\u00ac((\u00ac0) \u2227 (L \u2228 0))\n\u00ac(1 \u2227 (0 \u2228 L))\nChosen: \u00ac(1 \u2227 (0 \u2228 L))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(0 \u2228 L))\n\u00ac(0 \u2228 L)\n\u00ac((0 \u2228 L) \u2227 1)\n\u00ac((1 \u2227 0) \u2228 (1 \u2227 L))\n\u00ac(1 \u2227 L)\n\u00ac(1 \u2227 (L \u2228 0))\nChosen: \u00ac(0 \u2228 L)\n\nOptions:\n(\u00ac0) \u2227 (\u00acL)\n\u00acL\n\u00ac(L \u2228 0)\nChosen: \u00acL", "id": 1593}, {"char_len": 928, "tokens": [18902, 25, 320, 83193, 7, 83193, 39, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 39, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 39, 8, 75078, 320, 39, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 39, 1192, 1209, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 595, 75078, 320, 39, 75078, 220, 16, 340, 7, 83193, 7, 83193, 39, 595, 75078, 1819, 39, 75078, 220, 16, 8, 75078, 320, 83193, 39, 1192, 7, 83193, 7, 83193, 39, 595, 75078, 11861, 83193, 39, 8, 75078, 473, 8, 75078, 220, 16, 340, 7, 83193, 7, 83193, 39, 595, 75078, 1819, 83193, 39, 8, 75078, 473, 340, 7, 83193, 7, 83193, 39, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 16, 75078, 473, 1192, 39, 75078, 1819, 83193, 39, 8, 75078, 320, 39, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 595, 75078, 320, 39, 75078, 220, 16, 696, 3883, 512, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 1192, 6774, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 595, 75078, 473, 8, 75078, 220, 16, 198, 1209, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 595, 75078, 473, 198, 1209, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 595, 75078, 320, 16, 75078, 473, 340, 15, 75078, 320, 39, 75078, 220, 16, 340, 1209, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 7861, 75078, 320, 39, 75078, 220, 16, 340, 11135, 75078, 320, 83193, 39, 595, 75078, 320, 39, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 7861, 75078, 320, 39, 75078, 220, 16, 696, 3883, 512, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 6054, 6774, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 7861, 75078, 473, 8, 75078, 220, 16, 198, 7, 83193, 39, 8, 75078, 1819, 83193, 7, 83193, 39, 595, 75078, 320, 39, 75078, 220, 16, 1192, 1209, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 7861, 75078, 473, 198, 1209, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 7861, 75078, 320, 16, 75078, 473, 340, 15, 75078, 320, 39, 75078, 220, 16, 340, 1209, 83193, 39, 8, 75078, 473, 8, 75078, 320, 39, 75078, 220, 16, 340, 1163, 8477, 25, 320, 39, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 19789, 3883, 512, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 7, 83193, 39, 1192, 39, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 23631, 11135, 75078, 220, 16, 8, 75078, 220, 15, 198, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 7, 83193, 39, 595, 75078, 320, 83193, 39, 1192, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 473, 340, 39, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 6054, 7, 16, 75078, 473, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 83193, 39, 6054, 1163, 8477, 25, 320, 39, 75078, 220, 16, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 39, 75078, 220, 16, 340, 39, 75078, 320, 16, 75078, 220, 15, 340, 39, 75078, 220, 15, 198, 7, 16, 75078, 473, 8, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 573, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acH)) \u2227 ((\u00acH) \u2227 (H \u2227 1))\n\nOptions:\n((\u00acH) \u2227 (H \u2227 1)) \u2227 (\u00ac(\u00acH))\n((\u00ac(\u00acH)) \u2227 (\u00acH)) \u2227 (H \u2227 1)\n(\u00ac(\u00acH)) \u2227 ((H \u2227 1) \u2227 (\u00acH))\n(\u00ac(\u00acH)) \u2227 (((\u00acH) \u2227 H) \u2227 1)\n(\u00ac(\u00acH)) \u2227 ((\u00acH) \u2227 H)\n(\u00ac(\u00acH)) \u2227 ((\u00acH) \u2227 (1 \u2227 H))\nH \u2227 ((\u00acH) \u2227 (H \u2227 1))\nChosen: ((\u00ac(\u00acH)) \u2227 (\u00acH)) \u2227 (H \u2227 1)\n\nOptions:\n(H \u2227 1) \u2227 ((\u00ac(\u00acH)) \u2227 (\u00acH))\n(((\u00ac(\u00acH)) \u2227 (\u00acH)) \u2227 H) \u2227 1\n((\u00ac(\u00acH)) \u2227 (\u00acH)) \u2227 H\n((\u00ac(\u00acH)) \u2227 (\u00acH)) \u2227 (1 \u2227 H)\n0 \u2227 (H \u2227 1)\n((\u00acH) \u2227 (\u00ac(\u00acH))) \u2227 (H \u2227 1)\n(H \u2227 (\u00acH)) \u2227 (H \u2227 1)\nChosen: ((\u00acH) \u2227 (\u00ac(\u00acH))) \u2227 (H \u2227 1)\n\nOptions:\n(H \u2227 1) \u2227 ((\u00acH) \u2227 (\u00ac(\u00acH)))\n(((\u00acH) \u2227 (\u00ac(\u00acH))) \u2227 H) \u2227 1\n(\u00acH) \u2227 ((\u00ac(\u00acH)) \u2227 (H \u2227 1))\n((\u00acH) \u2227 (\u00ac(\u00acH))) \u2227 H\n((\u00acH) \u2227 (\u00ac(\u00acH))) \u2227 (1 \u2227 H)\n0 \u2227 (H \u2227 1)\n((\u00acH) \u2227 H) \u2227 (H \u2227 1)\nChosen: (H \u2227 1) \u2227 ((\u00acH) \u2227 (\u00ac(\u00acH)))\n\nOptions:\n((H \u2227 1) \u2227 (\u00acH)) \u2227 (\u00ac(\u00acH))\nH \u2227 (1 \u2227 ((\u00acH) \u2227 (\u00ac(\u00acH))))\n(H \u2227 1) \u2227 0\n(H \u2227 1) \u2227 ((\u00ac(\u00acH)) \u2227 (\u00acH))\n(H \u2227 1) \u2227 ((\u00acH) \u2227 H)\nH \u2227 ((\u00acH) \u2227 (\u00ac(\u00acH)))\n(1 \u2227 H) \u2227 ((\u00acH) \u2227 (\u00ac(\u00acH)))\nChosen: (H \u2227 1) \u2227 0\n\nOptions:\n0\n0 \u2227 (H \u2227 1)\nH \u2227 (1 \u2227 0)\nH \u2227 0\n(1 \u2227 H) \u2227 0\nChosen: 0", "id": 1594}, {"char_len": 348, "tokens": [18902, 25, 97265, 1209, 16, 75078, 452, 8, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 452, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 83193, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 452, 1192, 83193, 7, 16, 75078, 320, 45, 75078, 320, 16, 12264, 101, 220, 16, 6054, 83193, 6774, 16, 75078, 452, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 452, 8, 75078, 220, 16, 1192, 83193, 1209, 16, 75078, 452, 8, 75078, 220, 16, 340, 83193, 7, 45, 75078, 320, 16, 12264, 101, 220, 16, 1192, 83193, 1209, 45, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 45, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 45, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 83193, 1209, 16, 12264, 101, 220, 16, 8, 75078, 452, 340, 83193, 1209, 45, 75078, 220, 16, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 83193, 7, 45, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 45, 75078, 220, 16, 696, 3883, 512, 7, 83193, 45, 8, 12264, 101, 320, 83193, 16, 340, 83193, 45, 198, 83193, 7, 16, 75078, 452, 340, 1163, 8477, 25, 97265, 45], "tokenizer": "cl100k_base", "tokens_len": 221, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2227 N) \u2227 (1 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2227 N)) \u2228 (\u00ac(1 \u2228 1))\n\u00ac((1 \u2228 1) \u2227 (1 \u2227 N))\n\u00ac(1 \u2227 (N \u2227 (1 \u2228 1)))\n\u00ac(((1 \u2227 N) \u2227 1) \u2228 ((1 \u2227 N) \u2227 1))\n\u00ac((1 \u2227 N) \u2227 1)\n\u00ac(N \u2227 (1 \u2228 1))\n\u00ac((N \u2227 1) \u2227 (1 \u2228 1))\nChosen: \u00ac(N \u2227 (1 \u2228 1))\n\nOptions:\n(\u00acN) \u2228 (\u00ac(1 \u2228 1))\n\u00ac((1 \u2228 1) \u2227 N)\n\u00ac((N \u2227 1) \u2228 (N \u2227 1))\n\u00ac(N \u2227 1)\nChosen: \u00ac(N \u2227 1)\n\nOptions:\n(\u00acN) \u2228 (\u00ac1)\n\u00acN\n\u00ac(1 \u2227 N)\nChosen: \u00acN", "id": 1595}, {"char_len": 1542, "tokens": [18902, 25, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 4489, 3883, 512, 1209, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 32, 595, 12264, 101, 11861, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 32, 75078, 356, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 32, 8, 12264, 101, 362, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 356, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 34, 75078, 362, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 4489, 3883, 512, 1209, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 32, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 356, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 32, 8, 12264, 101, 362, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 356, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 34, 75078, 362, 1192, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 4489, 3883, 512, 1209, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 32, 75078, 356, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 32, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 34, 75078, 362, 8, 12264, 101, 320, 83193, 32, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 4489, 3883, 512, 1209, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 32, 75078, 356, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 32, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 362, 8, 12264, 101, 320, 83193, 32, 1192, 7, 83193, 16, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 4489, 3883, 512, 1209, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 32, 75078, 356, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 32, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 32, 8, 12264, 101, 320, 32, 75078, 356, 1192, 7, 83193, 16, 8, 75078, 1819, 34, 75078, 362, 8, 12264, 101, 320, 83193, 32, 1192, 15, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 1192, 1163, 8477, 25, 220, 15, 75078, 1819, 32, 75078, 356, 8, 12264, 101, 320, 83193, 32, 595], "tokenizer": "cl100k_base", "tokens_len": 1021, "data_type": "boolean", "txt": "Original: ((0 \u2228 0) \u2228 (\u00ac1)) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n\nOptions:\n((\u00acA) \u2228 (A \u2227 C)) \u2227 ((0 \u2228 0) \u2228 (\u00ac1))\n(((0 \u2228 0) \u2228 (\u00ac1)) \u2227 (\u00acA)) \u2228 (((0 \u2228 0) \u2228 (\u00ac1)) \u2227 (A \u2227 C))\n((0 \u2228 0) \u2228 (\u00ac1)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n((0 \u2228 0) \u2228 (\u00ac1)) \u2227 (((\u00acA) \u2228 A) \u2227 ((\u00acA) \u2228 C))\n((0 \u2228 0) \u2228 (\u00ac1)) \u2227 ((\u00acA) \u2228 (C \u2227 A))\n((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n(0 \u2228 (0 \u2228 (\u00ac1))) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n((0 \u2228 0) \u2228 0) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n(0 \u2228 (\u00ac1)) \u2227 ((\u00acA) \u2228 (A \u2227 C))\nChosen: ((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n\nOptions:\n((\u00acA) \u2228 (A \u2227 C)) \u2227 ((\u00ac1) \u2228 (0 \u2228 0))\n(((\u00ac1) \u2228 (0 \u2228 0)) \u2227 (\u00acA)) \u2228 (((\u00ac1) \u2228 (0 \u2228 0)) \u2227 (A \u2227 C))\n((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n((\u00ac1) \u2228 (0 \u2228 0)) \u2227 (((\u00acA) \u2228 A) \u2227 ((\u00acA) \u2228 C))\n((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((\u00acA) \u2228 (C \u2227 A))\n(((\u00ac1) \u2228 0) \u2228 0) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n((\u00ac1) \u2228 0) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n(0 \u2228 (0 \u2228 0)) \u2227 ((\u00acA) \u2228 (A \u2227 C))\nChosen: ((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n\nOptions:\n((A \u2227 C) \u2228 (\u00acA)) \u2227 ((\u00ac1) \u2228 (0 \u2228 0))\n(((\u00ac1) \u2228 (0 \u2228 0)) \u2227 (A \u2227 C)) \u2228 (((\u00ac1) \u2228 (0 \u2228 0)) \u2227 (\u00acA))\n((\u00ac1) \u2228 (0 \u2228 0)) \u2227 ((C \u2227 A) \u2228 (\u00acA))\n((0 \u2228 0) \u2228 (\u00ac1)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n(((\u00ac1) \u2228 0) \u2228 0) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n((\u00ac1) \u2228 0) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n(0 \u2228 (0 \u2228 0)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\nChosen: ((\u00ac1) \u2228 0) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n\nOptions:\n((A \u2227 C) \u2228 (\u00acA)) \u2227 ((\u00ac1) \u2228 0)\n(((\u00ac1) \u2228 0) \u2227 (A \u2227 C)) \u2228 (((\u00ac1) \u2228 0) \u2227 (\u00acA))\n((\u00ac1) \u2228 0) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n((\u00ac1) \u2228 0) \u2227 ((C \u2227 A) \u2228 (\u00acA))\n(\u00ac1) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n(0 \u2228 (\u00ac1)) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n(0 \u2228 0) \u2227 ((A \u2227 C) \u2228 (\u00acA))\nChosen: (\u00ac1) \u2227 ((A \u2227 C) \u2228 (\u00acA))\n\nOptions:\n((A \u2227 C) \u2228 (\u00acA)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (A \u2227 C)) \u2228 ((\u00ac1) \u2227 (\u00acA))\n(\u00ac1) \u2227 ((\u00acA) \u2228 (A \u2227 C))\n(\u00ac1) \u2227 ((C \u2227 A) \u2228 (\u00acA))\n0 \u2227 ((A \u2227 C) \u2228 (\u00acA))\nChosen: 0 \u2227 ((A \u2227 C) \u2228 (\u00acA))", "id": 1596}, {"char_len": 447, "tokens": [18902, 25, 97265, 1209, 83193, 40, 8, 75078, 320, 16, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 622, 1192, 83193, 1209, 16, 12264, 101, 622, 8, 75078, 320, 83193, 40, 1192, 83193, 6774, 83193, 40, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 622, 1192, 83193, 1209, 83193, 40, 8, 75078, 220, 16, 340, 83193, 1209, 83193, 40, 8, 75078, 320, 41, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 40, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 622, 595, 12264, 101, 320, 83193, 7, 83193, 40, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 41, 1192, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 7, 83193, 40, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 220, 16, 1192, 40, 12264, 101, 320, 83193, 7, 16, 12264, 101, 622, 1192, 1163, 8477, 25, 358, 12264, 101, 320, 83193, 7, 16, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 622, 595, 12264, 101, 358, 198, 40, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 41, 1192, 40, 12264, 101, 320, 83193, 16, 340, 40, 12264, 101, 320, 83193, 7, 41, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 358, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 358, 198, 40, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 358, 271, 3883, 512, 15, 12264, 101, 358, 198, 1163, 8477, 25, 220, 15, 12264, 101, 358], "tokenizer": "cl100k_base", "tokens_len": 289, "data_type": "boolean", "txt": "Original: \u00ac((\u00acI) \u2227 (1 \u2228 J))\n\nOptions:\n(\u00ac(\u00acI)) \u2228 (\u00ac(1 \u2228 J))\n\u00ac((1 \u2228 J) \u2227 (\u00acI))\n\u00ac(((\u00acI) \u2227 1) \u2228 ((\u00acI) \u2227 J))\n\u00ac((\u00acI) \u2227 1)\n\u00ac((\u00acI) \u2227 (J \u2228 1))\nChosen: (\u00ac(\u00acI)) \u2228 (\u00ac(1 \u2228 J))\n\nOptions:\n(\u00ac(1 \u2228 J)) \u2228 (\u00ac(\u00acI))\n(\u00ac(\u00acI)) \u2228 ((\u00ac1) \u2227 (\u00acJ))\n(\u00ac(\u00acI)) \u2228 (\u00ac1)\n(\u00ac(\u00acI)) \u2228 (\u00ac(J \u2228 1))\nI \u2228 (\u00ac(1 \u2228 J))\nChosen: I \u2228 (\u00ac(1 \u2228 J))\n\nOptions:\n(\u00ac(1 \u2228 J)) \u2228 I\nI \u2228 ((\u00ac1) \u2227 (\u00acJ))\nI \u2228 (\u00ac1)\nI \u2228 (\u00ac(J \u2228 1))\nChosen: I \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 I\nI \u2228 0\nChosen: (\u00ac1) \u2228 I\n\nOptions:\n0 \u2228 I\nChosen: 0 \u2228 I", "id": 1597}, {"char_len": 828, "tokens": [18902, 25, 1819, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 356, 595, 75078, 1819, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 7, 16, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 220, 15, 7861, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 6774, 16, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 12264, 101, 426, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 33, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 356, 595, 75078, 320, 16, 12264, 101, 320, 15, 75078, 220, 15, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 16, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 7, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 7, 15, 75078, 356, 4489, 3883, 512, 83193, 7, 15, 75078, 356, 340, 7, 83193, 7, 15, 75078, 356, 595, 75078, 220, 16, 198, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 16, 75078, 320, 83193, 15, 340, 16, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 356, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 34, 340, 83193, 15, 198, 83193, 7, 34, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 34, 75078, 220, 15, 696, 3883, 512, 7, 83193, 34, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15], "tokenizer": "cl100k_base", "tokens_len": 533, "data_type": "boolean", "txt": "Original: ((1 \u2228 B) \u2228 (0 \u2227 0)) \u2227 (\u00ac(0 \u2227 C))\n\nOptions:\n(\u00ac(0 \u2227 C)) \u2227 ((1 \u2228 B) \u2228 (0 \u2227 0))\n((1 \u2228 B) \u2228 (0 \u2227 0)) \u2227 ((\u00ac0) \u2228 (\u00acC))\n((1 \u2228 B) \u2228 (0 \u2227 0)) \u2227 (\u00ac0)\n((1 \u2228 B) \u2228 (0 \u2227 0)) \u2227 (\u00ac(C \u2227 0))\n((0 \u2227 0) \u2228 (1 \u2228 B)) \u2227 (\u00ac(0 \u2227 C))\n(1 \u2228 (B \u2228 (0 \u2227 0))) \u2227 (\u00ac(0 \u2227 C))\n(((1 \u2228 B) \u2228 0) \u2227 ((1 \u2228 B) \u2228 0)) \u2227 (\u00ac(0 \u2227 C))\n((1 \u2228 B) \u2228 0) \u2227 (\u00ac(0 \u2227 C))\n(1 \u2228 (0 \u2227 0)) \u2227 (\u00ac(0 \u2227 C))\n((B \u2228 1) \u2228 (0 \u2227 0)) \u2227 (\u00ac(0 \u2227 C))\nChosen: (1 \u2228 (0 \u2227 0)) \u2227 (\u00ac(0 \u2227 C))\n\nOptions:\n(\u00ac(0 \u2227 C)) \u2227 (1 \u2228 (0 \u2227 0))\n(1 \u2228 (0 \u2227 0)) \u2227 ((\u00ac0) \u2228 (\u00acC))\n(1 \u2228 (0 \u2227 0)) \u2227 (\u00ac0)\n(1 \u2228 (0 \u2227 0)) \u2227 (\u00ac(C \u2227 0))\n1 \u2227 (\u00ac(0 \u2227 C))\n((0 \u2227 0) \u2228 1) \u2227 (\u00ac(0 \u2227 C))\n((1 \u2228 0) \u2227 (1 \u2228 0)) \u2227 (\u00ac(0 \u2227 C))\n(1 \u2228 0) \u2227 (\u00ac(0 \u2227 C))\nChosen: 1 \u2227 (\u00ac(0 \u2227 C))\n\nOptions:\n\u00ac(0 \u2227 C)\n(\u00ac(0 \u2227 C)) \u2227 1\n1 \u2227 ((\u00ac0) \u2228 (\u00acC))\n1 \u2227 (\u00ac0)\n1 \u2227 (\u00ac(C \u2227 0))\nChosen: \u00ac(0 \u2227 C)\n\nOptions:\n(\u00ac0) \u2228 (\u00acC)\n\u00ac0\n\u00ac(C \u2227 0)\nChosen: \u00ac(C \u2227 0)\n\nOptions:\n(\u00acC) \u2228 (\u00ac0)\n\u00ac0\nChosen: \u00ac0", "id": 1598}, {"char_len": 1263, "tokens": [18902, 25, 1819, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 1209, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 38, 12264, 101, 622, 595, 12264, 101, 11861, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 41, 1192, 1209, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 38, 12264, 101, 622, 1192, 1209, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 38, 12264, 101, 320, 41, 12264, 101, 320, 83193, 41, 6054, 1209, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 41, 12264, 101, 480, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 1192, 6774, 83193, 38, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 1192, 1163, 8477, 25, 1819, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 1209, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 595, 75078, 1819, 83193, 38, 8, 12264, 101, 220, 15, 340, 6774, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 320, 38, 12264, 101, 622, 595, 12264, 101, 11861, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 41, 1192, 1209, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 38, 12264, 101, 622, 1192, 1209, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 320, 38, 12264, 101, 320, 41, 12264, 101, 320, 83193, 41, 6054, 1209, 83193, 38, 8, 12264, 101, 220, 15, 8, 75078, 1819, 41, 12264, 101, 480, 8, 12264, 101, 320, 83193, 41, 1192, 7, 83193, 38, 8, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 1192, 7, 15, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 1192, 1163, 8477, 25, 320, 83193, 38, 8, 75078, 1819, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 1209, 38, 12264, 101, 622, 8, 12264, 101, 320, 83193, 41, 595, 75078, 320, 83193, 38, 340, 1209, 83193, 38, 8, 75078, 320, 38, 12264, 101, 622, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 1192, 7, 83193, 38, 8, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 38, 12264, 101, 622, 1192, 7, 83193, 38, 8, 75078, 320, 38, 12264, 101, 320, 41, 12264, 101, 320, 83193, 41, 6054, 7, 83193, 38, 8, 75078, 1819, 41, 12264, 101, 480, 8, 12264, 101, 320, 83193, 41, 1192, 1163, 8477, 25, 320, 83193, 38, 8, 75078, 1819, 41, 12264, 101, 480, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 1209, 41, 12264, 101, 480, 8, 12264, 101, 320, 83193, 41, 595, 75078, 320, 83193, 38, 340, 1209, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 1192, 7, 83193, 38, 8, 75078, 1819, 83193, 41, 8, 12264, 101, 320, 41, 12264, 101, 480, 1192, 7, 83193, 38, 8, 75078, 320, 41, 12264, 101, 320, 38, 12264, 101, 320, 83193, 41, 6054, 1163, 8477, 25, 1819, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 83193, 38, 8, 75078, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 1192, 6774, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 595, 12264, 101, 320, 83193, 38, 595, 75078, 11861, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 595, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 38, 8, 75078, 320, 41, 12264, 101, 480, 595, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 83193, 38, 1192, 1209, 41, 12264, 101, 480, 8, 75078, 320, 83193, 38, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 1192, 6774, 83193, 38, 8, 75078, 622, 8, 12264, 101, 1819, 83193, 38, 8, 75078, 480, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 1192, 1209, 83193, 38, 8, 75078, 320, 38, 12264, 101, 622, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 1819, 83193, 38, 8, 75078, 320, 38, 12264, 101, 622, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 41, 595], "tokenizer": "cl100k_base", "tokens_len": 843, "data_type": "boolean", "txt": "Original: ((\u00acG) \u2228 (0 \u2228 0)) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n\nOptions:\n((G \u2228 J) \u2228 (\u00acJ)) \u2227 ((\u00acG) \u2228 (0 \u2228 0))\n(((\u00acG) \u2228 (0 \u2228 0)) \u2227 (G \u2228 J)) \u2228 (((\u00acG) \u2228 (0 \u2228 0)) \u2227 (\u00acJ))\n((\u00acG) \u2228 (0 \u2228 0)) \u2227 ((\u00acJ) \u2228 (G \u2228 J))\n((\u00acG) \u2228 (0 \u2228 0)) \u2227 (G \u2228 (J \u2228 (\u00acJ)))\n((\u00acG) \u2228 (0 \u2228 0)) \u2227 ((J \u2228 G) \u2228 (\u00acJ))\n((0 \u2228 0) \u2228 (\u00acG)) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n(((\u00acG) \u2228 0) \u2228 0) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n((\u00acG) \u2228 0) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\nChosen: ((\u00acG) \u2228 0) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n\nOptions:\n((G \u2228 J) \u2228 (\u00acJ)) \u2227 ((\u00acG) \u2228 0)\n(((\u00acG) \u2228 0) \u2227 (G \u2228 J)) \u2228 (((\u00acG) \u2228 0) \u2227 (\u00acJ))\n((\u00acG) \u2228 0) \u2227 ((\u00acJ) \u2228 (G \u2228 J))\n((\u00acG) \u2228 0) \u2227 (G \u2228 (J \u2228 (\u00acJ)))\n((\u00acG) \u2228 0) \u2227 ((J \u2228 G) \u2228 (\u00acJ))\n(\u00acG) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n(0 \u2228 (\u00acG)) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\nChosen: (\u00acG) \u2227 ((G \u2228 J) \u2228 (\u00acJ))\n\nOptions:\n((G \u2228 J) \u2228 (\u00acJ)) \u2227 (\u00acG)\n((\u00acG) \u2227 (G \u2228 J)) \u2228 ((\u00acG) \u2227 (\u00acJ))\n(\u00acG) \u2227 ((\u00acJ) \u2228 (G \u2228 J))\n(\u00acG) \u2227 (G \u2228 (J \u2228 (\u00acJ)))\n(\u00acG) \u2227 ((J \u2228 G) \u2228 (\u00acJ))\nChosen: (\u00acG) \u2227 ((J \u2228 G) \u2228 (\u00acJ))\n\nOptions:\n((J \u2228 G) \u2228 (\u00acJ)) \u2227 (\u00acG)\n((\u00acG) \u2227 (J \u2228 G)) \u2228 ((\u00acG) \u2227 (\u00acJ))\n(\u00acG) \u2227 ((\u00acJ) \u2228 (J \u2228 G))\n(\u00acG) \u2227 (J \u2228 (G \u2228 (\u00acJ)))\nChosen: ((\u00acG) \u2227 (J \u2228 G)) \u2228 ((\u00acG) \u2227 (\u00acJ))\n\nOptions:\n((\u00acG) \u2227 (\u00acJ)) \u2228 ((\u00acG) \u2227 (J \u2228 G))\n(((\u00acG) \u2227 (J \u2228 G)) \u2228 (\u00acG)) \u2227 (((\u00acG) \u2227 (J \u2228 G)) \u2228 (\u00acJ))\n((\u00acG) \u2227 (J \u2228 G)) \u2228 ((\u00acJ) \u2227 (\u00acG))\n((J \u2228 G) \u2227 (\u00acG)) \u2228 ((\u00acG) \u2227 (\u00acJ))\n(((\u00acG) \u2227 J) \u2228 ((\u00acG) \u2227 G)) \u2228 ((\u00acG) \u2227 (\u00acJ))\n((\u00acG) \u2227 (G \u2228 J)) \u2228 ((\u00acG) \u2227 (\u00acJ))\nChosen: ((\u00acG) \u2227 (G \u2228 J)) \u2228 ((\u00acG) \u2227 (\u00acJ))", "id": 1599}, {"char_len": 702, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 83193, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 83193, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 220, 15, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 492, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 1) \u2228 (0 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2227 (\u00ac(0 \u2228 1))\n\u00ac((0 \u2228 1) \u2228 (1 \u2228 1))\n\u00ac(((1 \u2228 1) \u2228 0) \u2228 1)\n\u00ac(1 \u2228 (1 \u2228 (0 \u2228 1)))\n\u00ac((1 \u2228 1) \u2228 1)\n\u00ac((1 \u2228 1) \u2228 (1 \u2228 0))\n\u00ac(1 \u2228 (0 \u2228 1))\nChosen: (\u00ac(1 \u2228 1)) \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac(1 \u2228 1))\n(\u00ac(1 \u2228 1)) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n(\u00ac(1 \u2228 1)) \u2227 (\u00ac1)\n(\u00ac(1 \u2228 1)) \u2227 (\u00ac(1 \u2228 0))\n((\u00ac1) \u2227 (\u00ac1)) \u2227 (\u00ac(0 \u2228 1))\n(\u00ac1) \u2227 (\u00ac(0 \u2228 1))\nChosen: (\u00ac1) \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n(\u00ac1) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac(1 \u2228 0))\n0 \u2227 (\u00ac(0 \u2228 1))\nChosen: (\u00ac(0 \u2228 1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 0\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac1)\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac1)\nChosen: (\u00ac(1 \u2228 0)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(1 \u2228 0))\n(\u00ac(1 \u2228 0)) \u2227 0\n((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac1)\nChosen: (\u00ac1) \u2227 (\u00ac1)", "id": 1600}, {"char_len": 322, "tokens": [18902, 25, 97265, 1209, 83193, 39, 8, 75078, 320, 39, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 39, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 83193, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 39, 1192, 83193, 6774, 83193, 39, 8, 75078, 473, 8, 75078, 220, 16, 340, 83193, 1209, 83193, 39, 8, 75078, 473, 340, 83193, 1209, 83193, 39, 8, 75078, 320, 16, 75078, 473, 1192, 1163, 8477, 25, 97265, 1209, 39, 75078, 220, 16, 8, 75078, 320, 83193, 39, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 83193, 7, 39, 75078, 320, 16, 75078, 320, 83193, 39, 6054, 83193, 7, 39, 75078, 320, 83193, 39, 1192, 83193, 1209, 16, 75078, 473, 8, 75078, 320, 83193, 39, 1192, 1163, 8477, 25, 97265, 7, 39, 75078, 320, 83193, 39, 4489, 3883, 512, 7, 83193, 39, 8, 12264, 101, 320, 83193, 7, 83193, 39, 1192, 83193, 15, 198, 83193, 1209, 83193, 39, 8, 75078, 473, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 189, "data_type": "boolean", "txt": "Original: \u00ac((\u00acH) \u2227 (H \u2227 1))\n\nOptions:\n(\u00ac(\u00acH)) \u2228 (\u00ac(H \u2227 1))\n\u00ac((H \u2227 1) \u2227 (\u00acH))\n\u00ac(((\u00acH) \u2227 H) \u2227 1)\n\u00ac((\u00acH) \u2227 H)\n\u00ac((\u00acH) \u2227 (1 \u2227 H))\nChosen: \u00ac((H \u2227 1) \u2227 (\u00acH))\n\nOptions:\n(\u00ac(H \u2227 1)) \u2228 (\u00ac(\u00acH))\n\u00ac(H \u2227 (1 \u2227 (\u00acH)))\n\u00ac(H \u2227 (\u00acH))\n\u00ac((1 \u2227 H) \u2227 (\u00acH))\nChosen: \u00ac(H \u2227 (\u00acH))\n\nOptions:\n(\u00acH) \u2228 (\u00ac(\u00acH))\n\u00ac0\n\u00ac((\u00acH) \u2227 H)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1601}, {"char_len": 1747, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 19789, 3883, 512, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 23631, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 7, 16, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 15, 6054, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 696, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 696, 3883, 512, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1291, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\n\nOptions:\n((0 \u2228 0) \u2228 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 1))\n(((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 0)) \u2228 (\u00ac0)\n(1 \u2227 1) \u2228 ((0 \u2227 1) \u2228 ((0 \u2228 0) \u2228 (\u00ac0)))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 ((\u00ac0) \u2228 (0 \u2228 0))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 ((0 \u2228 0) \u2228 1)\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (\u00ac0))\n((0 \u2227 1) \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 1)) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\n((1 \u2227 1) \u2228 0) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\n((1 \u2227 1) \u2228 (1 \u2227 0)) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\n(1 \u2228 (0 \u2227 1)) \u2228 ((0 \u2228 0) \u2228 (\u00ac0))\nChosen: ((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n\nOptions:\n(0 \u2228 (0 \u2228 (\u00ac0))) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 1))\n(((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 0) \u2228 (0 \u2228 (\u00ac0))\n(1 \u2227 1) \u2228 ((0 \u2227 1) \u2228 (0 \u2228 (0 \u2228 (\u00ac0))))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (\u00ac0))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 ((0 \u2228 (\u00ac0)) \u2228 0)\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 1)\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 ((\u00ac0) \u2228 0))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (0 \u2228 1))\n((0 \u2227 1) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 1)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n((1 \u2227 1) \u2228 0) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n((1 \u2227 1) \u2228 (1 \u2227 0)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\n(1 \u2228 (0 \u2227 1)) \u2228 (0 \u2228 (0 \u2228 (\u00ac0)))\nChosen: ((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (0 \u2228 1)\n\nOptions:\n(0 \u2228 1) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 1))\n(((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 0) \u2228 1\n(1 \u2227 1) \u2228 ((0 \u2227 1) \u2228 (0 \u2228 1))\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 1\n((1 \u2227 1) \u2228 (0 \u2227 1)) \u2228 (1 \u2228 0)\n((0 \u2227 1) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 1)\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 1)) \u2228 (0 \u2228 1)\n((1 \u2227 1) \u2228 0) \u2228 (0 \u2228 1)\n((1 \u2227 1) \u2228 (1 \u2227 0)) \u2228 (0 \u2228 1)\n(1 \u2228 (0 \u2227 1)) \u2228 (0 \u2228 1)\nChosen: ((1 \u2227 1) \u2228 0) \u2228 (0 \u2228 1)\n\nOptions:\n(0 \u2228 1) \u2228 ((1 \u2227 1) \u2228 0)\n(((1 \u2227 1) \u2228 0) \u2228 0) \u2228 1\n(1 \u2227 1) \u2228 (0 \u2228 (0 \u2228 1))\n((1 \u2227 1) \u2228 0) \u2228 1\n((1 \u2227 1) \u2228 0) \u2228 (1 \u2228 0)\n(1 \u2227 1) \u2228 (0 \u2228 1)\n(0 \u2228 (1 \u2227 1)) \u2228 (0 \u2228 1)\n(1 \u2228 0) \u2228 (0 \u2228 1)\nChosen: ((1 \u2227 1) \u2228 0) \u2228 1\n\nOptions:\n1\n1 \u2228 ((1 \u2227 1) \u2228 0)\n(1 \u2227 1) \u2228 (0 \u2228 1)\n(1 \u2227 1) \u2228 1\n(0 \u2228 (1 \u2227 1)) \u2228 1\n(1 \u2228 0) \u2228 1\nChosen: 1", "id": 1602}, {"char_len": 1437, "tokens": [18902, 25, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 57, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 1192, 7, 15, 12264, 101, 1901, 8, 75078, 1819, 55, 75078, 1901, 8, 75078, 320, 83193, 7, 57, 75078, 220, 16, 6054, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 7, 16, 75078, 1901, 1192, 1209, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 6774, 15, 12264, 101, 1901, 8, 75078, 1630, 8, 75078, 1901, 8, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 57, 75078, 1630, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 28955, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1209, 57, 12264, 101, 220, 15, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 57, 75078, 220, 16, 595, 75078, 1819, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7799, 75078, 1901, 8, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 83193, 7, 57, 75078, 220, 16, 6054, 1209, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 83193, 57, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 57, 340, 1209, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 7, 16, 75078, 1901, 1192, 7799, 75078, 320, 57, 75078, 320, 15, 12264, 101, 1901, 7861, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 6774, 55, 75078, 1901, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 75078, 1901, 8, 75078, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1209, 55, 75078, 1901, 8, 75078, 1901, 8, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1209, 55, 75078, 1901, 8, 75078, 320, 57, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1209, 57, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 57, 696, 3883, 512, 7, 83193, 57, 8, 75078, 1819, 55, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7799, 75078, 1901, 8, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 7799, 75078, 320, 57, 75078, 320, 15, 12264, 101, 1901, 7861, 75078, 320, 83193, 57, 340, 6774, 55, 75078, 1901, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 75078, 1901, 8, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 1209, 55, 75078, 1901, 8, 75078, 1901, 8, 75078, 320, 83193, 57, 340, 1209, 55, 75078, 1901, 8, 75078, 320, 57, 12264, 101, 220, 15, 595, 75078, 320, 83193, 57, 340, 1209, 57, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 57, 340, 1163, 8477, 25, 1819, 57, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 57, 696, 3883, 512, 7, 83193, 57, 8, 75078, 1819, 57, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 28955, 75078, 1630, 8, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 1192, 1209, 15, 12264, 101, 1901, 8, 75078, 320, 57, 75078, 1630, 595, 75078, 320, 83193, 57, 340, 28955, 75078, 320, 55, 75078, 320, 15, 12264, 101, 1901, 7861, 75078, 320, 83193, 57, 340, 6774, 57, 75078, 1630, 8, 75078, 220, 15, 8, 12264, 101, 1819, 57, 75078, 1630, 8, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 1209, 57, 75078, 1630, 8, 75078, 1901, 8, 75078, 320, 83193, 57, 340, 1209, 57, 75078, 1630, 8, 75078, 320, 57, 12264, 101, 220, 15, 595, 75078, 320, 83193, 57, 340, 1163, 8477, 25, 1819, 57, 75078, 1630, 8, 75078, 1901, 8, 75078, 320, 83193, 57, 696, 3883, 512, 7, 83193, 57, 8, 75078, 1819, 57, 75078, 1630, 8, 75078, 1901, 340, 28955, 75078, 1630, 8, 75078, 320, 57, 75078, 320, 83193, 57, 1192, 28955, 75078, 320, 57, 75078, 1630, 595, 75078, 320, 83193, 57, 340, 28955, 75078, 320, 55, 75078, 1901, 595, 75078, 320, 83193, 57, 340, 1209, 55, 75078, 1901, 8, 75078, 1901, 8, 75078, 320, 83193, 57, 340, 1163, 8477, 25, 320, 57, 75078, 1630, 8, 75078, 320, 57, 75078, 320, 83193, 57, 595], "tokenizer": "cl100k_base", "tokens_len": 862, "data_type": "boolean", "txt": "Original: ((0 \u2228 Z) \u2227 (X \u2227 Z)) \u2227 (\u00ac(Z \u2227 1))\n\nOptions:\n(\u00ac(Z \u2227 1)) \u2227 ((0 \u2228 Z) \u2227 (X \u2227 Z))\n(0 \u2228 Z) \u2227 ((X \u2227 Z) \u2227 (\u00ac(Z \u2227 1)))\n((0 \u2228 Z) \u2227 (X \u2227 Z)) \u2227 ((\u00acZ) \u2228 (\u00ac1))\n((0 \u2228 Z) \u2227 (X \u2227 Z)) \u2227 (\u00acZ)\n((0 \u2228 Z) \u2227 (X \u2227 Z)) \u2227 (\u00ac(1 \u2227 Z))\n((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 (\u00ac(Z \u2227 1))\n(((0 \u2228 Z) \u2227 X) \u2227 Z) \u2227 (\u00ac(Z \u2227 1))\n((0 \u2228 Z) \u2227 (Z \u2227 X)) \u2227 (\u00ac(Z \u2227 1))\n(Z \u2227 (X \u2227 Z)) \u2227 (\u00ac(Z \u2227 1))\n((Z \u2228 0) \u2227 (X \u2227 Z)) \u2227 (\u00ac(Z \u2227 1))\nChosen: ((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 (\u00ac(Z \u2227 1))\n\nOptions:\n(\u00ac(Z \u2227 1)) \u2227 ((X \u2227 Z) \u2227 (0 \u2228 Z))\n(X \u2227 Z) \u2227 ((0 \u2228 Z) \u2227 (\u00ac(Z \u2227 1)))\n((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 ((\u00acZ) \u2228 (\u00ac1))\n((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 (\u00acZ)\n((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 (\u00ac(1 \u2227 Z))\n(X \u2227 (Z \u2227 (0 \u2228 Z))) \u2227 (\u00ac(Z \u2227 1))\n(((X \u2227 Z) \u2227 0) \u2228 ((X \u2227 Z) \u2227 Z)) \u2227 (\u00ac(Z \u2227 1))\n((X \u2227 Z) \u2227 Z) \u2227 (\u00ac(Z \u2227 1))\n((X \u2227 Z) \u2227 (Z \u2228 0)) \u2227 (\u00ac(Z \u2227 1))\n((Z \u2227 X) \u2227 (0 \u2228 Z)) \u2227 (\u00ac(Z \u2227 1))\nChosen: ((X \u2227 Z) \u2227 (0 \u2228 Z)) \u2227 (\u00acZ)\n\nOptions:\n(\u00acZ) \u2227 ((X \u2227 Z) \u2227 (0 \u2228 Z))\n(X \u2227 Z) \u2227 ((0 \u2228 Z) \u2227 (\u00acZ))\n((0 \u2228 Z) \u2227 (X \u2227 Z)) \u2227 (\u00acZ)\n(X \u2227 (Z \u2227 (0 \u2228 Z))) \u2227 (\u00acZ)\n(((X \u2227 Z) \u2227 0) \u2228 ((X \u2227 Z) \u2227 Z)) \u2227 (\u00acZ)\n((X \u2227 Z) \u2227 Z) \u2227 (\u00acZ)\n((X \u2227 Z) \u2227 (Z \u2228 0)) \u2227 (\u00acZ)\n((Z \u2227 X) \u2227 (0 \u2228 Z)) \u2227 (\u00acZ)\nChosen: ((Z \u2227 X) \u2227 (0 \u2228 Z)) \u2227 (\u00acZ)\n\nOptions:\n(\u00acZ) \u2227 ((Z \u2227 X) \u2227 (0 \u2228 Z))\n(Z \u2227 X) \u2227 ((0 \u2228 Z) \u2227 (\u00acZ))\n((0 \u2228 Z) \u2227 (Z \u2227 X)) \u2227 (\u00acZ)\n(Z \u2227 (X \u2227 (0 \u2228 Z))) \u2227 (\u00acZ)\n(((Z \u2227 X) \u2227 0) \u2228 ((Z \u2227 X) \u2227 Z)) \u2227 (\u00acZ)\n((Z \u2227 X) \u2227 Z) \u2227 (\u00acZ)\n((Z \u2227 X) \u2227 (Z \u2228 0)) \u2227 (\u00acZ)\nChosen: ((Z \u2227 X) \u2227 Z) \u2227 (\u00acZ)\n\nOptions:\n(\u00acZ) \u2227 ((Z \u2227 X) \u2227 Z)\n(Z \u2227 X) \u2227 (Z \u2227 (\u00acZ))\n(Z \u2227 (Z \u2227 X)) \u2227 (\u00acZ)\n(Z \u2227 (X \u2227 Z)) \u2227 (\u00acZ)\n((X \u2227 Z) \u2227 Z) \u2227 (\u00acZ)\nChosen: (Z \u2227 X) \u2227 (Z \u2227 (\u00acZ))", "id": 1603}, {"char_len": 1671, "tokens": [18902, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 358, 8, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 16, 75078, 358, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 358, 595, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 320, 16, 75078, 358, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 16, 75078, 358, 8, 75078, 220, 16, 8, 75078, 356, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 320, 40, 75078, 320, 16, 75078, 356, 6054, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 358, 8, 75078, 356, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 358, 8, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 40, 75078, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 358, 8, 75078, 320, 16, 75078, 356, 1192, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 358, 8, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 9149, 75078, 320, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 358, 8, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 358, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 40, 75078, 220, 16, 8, 75078, 356, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 356, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 9149, 75078, 320, 16, 75078, 356, 595, 12264, 101, 320, 16, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 15, 595, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 356, 1192, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 358, 340, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 40, 75078, 220, 16, 8, 75078, 356, 340, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 356, 340, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 40, 75078, 320, 34, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 9149, 75078, 320, 16, 75078, 356, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 358, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 40, 75078, 220, 16, 8, 75078, 356, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 356, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 40, 75078, 320, 34, 75078, 220, 16, 1192, 16, 12264, 101, 320, 40, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 358, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 356, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 356, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 320, 16, 12264, 101, 320, 16, 75078, 356, 1192, 9149, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 7, 16, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 358, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 356, 8], "tokenizer": "cl100k_base", "tokens_len": 1046, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 I) \u2227 (1 \u2227 C))\n\nOptions:\n((1 \u2227 I) \u2227 (1 \u2227 C)) \u2228 ((\u00ac0) \u2227 (\u00ac0))\n(((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 I)) \u2227 (((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 C))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 C) \u2227 (1 \u2227 I))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (((1 \u2227 I) \u2227 1) \u2227 C)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 (I \u2227 (1 \u2227 C)))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 I) \u2227 C)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 I) \u2227 (C \u2227 1))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (I \u2227 (1 \u2227 C))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((I \u2227 1) \u2227 (1 \u2227 C))\n((\u00ac0) \u2227 1) \u2228 ((1 \u2227 I) \u2227 (1 \u2227 C))\n(1 \u2227 (\u00ac0)) \u2228 ((1 \u2227 I) \u2227 (1 \u2227 C))\nChosen: ((\u00ac0) \u2227 (\u00ac0)) \u2228 (I \u2227 (1 \u2227 C))\n\nOptions:\n(I \u2227 (1 \u2227 C)) \u2228 ((\u00ac0) \u2227 (\u00ac0))\n(((\u00ac0) \u2227 (\u00ac0)) \u2228 I) \u2227 (((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 C))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 C) \u2227 I)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((I \u2227 1) \u2227 C)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (I \u2227 C)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (I \u2227 (C \u2227 1))\n((\u00ac0) \u2227 1) \u2228 (I \u2227 (1 \u2227 C))\n(1 \u2227 (\u00ac0)) \u2228 (I \u2227 (1 \u2227 C))\nChosen: (1 \u2227 (\u00ac0)) \u2228 (I \u2227 (1 \u2227 C))\n\nOptions:\n(I \u2227 (1 \u2227 C)) \u2228 (1 \u2227 (\u00ac0))\n((1 \u2227 (\u00ac0)) \u2228 I) \u2227 ((1 \u2227 (\u00ac0)) \u2228 (1 \u2227 C))\n(1 \u2227 (\u00ac0)) \u2228 ((1 \u2227 C) \u2227 I)\n(1 \u2227 (\u00ac0)) \u2228 ((I \u2227 1) \u2227 C)\n(1 \u2227 (\u00ac0)) \u2228 (I \u2227 C)\n(1 \u2227 (\u00ac0)) \u2228 (I \u2227 (C \u2227 1))\n(\u00ac0) \u2228 (I \u2227 (1 \u2227 C))\n((\u00ac0) \u2227 1) \u2228 (I \u2227 (1 \u2227 C))\n(1 \u2227 1) \u2228 (I \u2227 (1 \u2227 C))\nChosen: (1 \u2227 1) \u2228 (I \u2227 (1 \u2227 C))\n\nOptions:\n(I \u2227 (1 \u2227 C)) \u2228 (1 \u2227 1)\n((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 1) \u2228 (1 \u2227 C))\n(1 \u2227 1) \u2228 ((1 \u2227 C) \u2227 I)\n(1 \u2227 1) \u2228 ((I \u2227 1) \u2227 C)\n(1 \u2227 1) \u2228 (I \u2227 C)\n(1 \u2227 1) \u2228 (I \u2227 (C \u2227 1))\n1 \u2228 (I \u2227 (1 \u2227 C))\nChosen: ((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 1) \u2228 (1 \u2227 C))\n\nOptions:\n((1 \u2227 1) \u2228 (1 \u2227 C)) \u2227 ((1 \u2227 1) \u2228 I)\n(((1 \u2227 1) \u2228 I) \u2227 (1 \u2227 1)) \u2228 (((1 \u2227 1) \u2228 I) \u2227 (1 \u2227 C))\n((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 C) \u2228 (1 \u2227 1))\n((1 \u2227 1) \u2228 I) \u2227 (((1 \u2227 1) \u2228 1) \u2227 ((1 \u2227 1) \u2228 C))\n((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 1) \u2228 C)\n((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 1) \u2228 (C \u2227 1))\n((1 \u2227 1) \u2228 I) \u2227 (1 \u2228 (1 \u2227 C))\n(I \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 1) \u2228 (1 \u2227 C))\n(1 \u2228 I) \u2227 ((1 \u2227 1) \u2228 (1 \u2227 C))\nChosen: ((1 \u2227 1) \u2228 I) \u2227 ((1 \u2227 1) \u2228 C)", "id": 1604}, {"char_len": 1002, "tokens": [18902, 25, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 6054, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 33, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 220, 16, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 33, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 33, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 33, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 595, 75078, 220, 15, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 33, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 33, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 33, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 33, 8, 75078, 220, 16, 340, 7, 83193, 33, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 83193, 33, 8, 75078, 220, 16, 8, 75078, 220, 15, 198, 7, 83193, 33, 8, 75078, 320, 83193, 16, 340, 7, 16, 75078, 320, 83193, 33, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 33, 8, 75078, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 33, 340, 7, 83193, 33, 8, 75078, 320, 83193, 16, 340, 7, 83193, 33, 8, 75078, 220, 15, 198, 7, 83193, 33, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 33, 8, 75078, 320, 16, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 33, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 652, "data_type": "boolean", "txt": "Original: ((\u00acB) \u2227 (\u00ac0)) \u2227 ((0 \u2228 0) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2228 0) \u2228 (\u00ac1)) \u2227 ((\u00acB) \u2227 (\u00ac0))\n(\u00acB) \u2227 ((\u00ac0) \u2227 ((0 \u2228 0) \u2228 (\u00ac1)))\n(((\u00acB) \u2227 (\u00ac0)) \u2227 (0 \u2228 0)) \u2228 (((\u00acB) \u2227 (\u00ac0)) \u2227 (\u00ac1))\n((\u00acB) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (0 \u2228 0))\n((\u00acB) \u2227 (\u00ac0)) \u2227 (0 \u2228 (0 \u2228 (\u00ac1)))\n((\u00acB) \u2227 (\u00ac0)) \u2227 ((0 \u2228 0) \u2228 0)\n((\u00acB) \u2227 (\u00ac0)) \u2227 (0 \u2228 (\u00ac1))\n((\u00ac0) \u2227 (\u00acB)) \u2227 ((0 \u2228 0) \u2228 (\u00ac1))\n((\u00acB) \u2227 1) \u2227 ((0 \u2228 0) \u2228 (\u00ac1))\nChosen: ((\u00acB) \u2227 (\u00ac0)) \u2227 (0 \u2228 (\u00ac1))\n\nOptions:\n(0 \u2228 (\u00ac1)) \u2227 ((\u00acB) \u2227 (\u00ac0))\n(\u00acB) \u2227 ((\u00ac0) \u2227 (0 \u2228 (\u00ac1)))\n(((\u00acB) \u2227 (\u00ac0)) \u2227 0) \u2228 (((\u00acB) \u2227 (\u00ac0)) \u2227 (\u00ac1))\n((\u00acB) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n((\u00acB) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2228 0)\n((\u00acB) \u2227 (\u00ac0)) \u2227 (0 \u2228 0)\n((\u00ac0) \u2227 (\u00acB)) \u2227 (0 \u2228 (\u00ac1))\n((\u00acB) \u2227 1) \u2227 (0 \u2228 (\u00ac1))\nChosen: ((\u00acB) \u2227 (\u00ac0)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00acB) \u2227 (\u00ac0))\n(\u00acB) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n((\u00acB) \u2227 (\u00ac0)) \u2227 0\n((\u00ac0) \u2227 (\u00acB)) \u2227 (\u00ac1)\n((\u00acB) \u2227 1) \u2227 (\u00ac1)\nChosen: ((\u00acB) \u2227 1) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00acB) \u2227 1)\n(\u00acB) \u2227 (1 \u2227 (\u00ac1))\n((\u00acB) \u2227 1) \u2227 0\n(\u00acB) \u2227 (\u00ac1)\n(1 \u2227 (\u00acB)) \u2227 (\u00ac1)\nChosen: (\u00acB) \u2227 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2227 (\u00acB)\n(\u00acB) \u2227 (\u00ac1)\n(\u00acB) \u2227 0\n(\u00acB) \u2227 ((\u00ac1) \u2227 1)\n(\u00acB) \u2227 (1 \u2227 0)\nChosen: (\u00acB) \u2227 0", "id": 1605}, {"char_len": 2523, "tokens": [18902, 25, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 12264, 101, 426, 8, 75078, 320, 54, 75078, 468, 4489, 3883, 512, 1209, 54, 12264, 101, 426, 8, 75078, 320, 54, 75078, 468, 595, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 6774, 54, 75078, 426, 8, 12264, 101, 320, 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1819, 54, 75078, 320, 54, 12264, 101, 426, 595, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 54, 75078, 426, 595, 75078, 11861, 54, 12264, 101, 426, 8, 75078, 468, 8, 75078, 468, 340, 6774, 54, 75078, 426, 8, 12264, 101, 220, 16, 8, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 220, 15, 595, 75078, 11861, 54, 12264, 101, 426, 8, 75078, 468, 8, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 11861, 54, 12264, 101, 426, 8, 75078, 468, 8, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 11861, 54, 12264, 101, 426, 8, 75078, 468, 8, 75078, 468, 340, 1209, 33, 75078, 468, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 54, 12264, 101, 426, 8, 75078, 468, 8, 75078, 468, 340, 1163, 8477, 25, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 696, 3883, 512, 6774, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 8, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 6774, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 468, 595, 75078, 468, 198, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 54, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 468, 1192, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 320, 54, 75078, 468, 1192, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 54, 75078, 426, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 6774, 54, 75078, 426, 8, 12264, 101, 220, 16, 8, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 220, 15, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 1209, 33, 75078, 468, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 33, 12264, 101, 468, 8, 75078, 468, 8, 75078, 468, 340, 1163, 8477, 25, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 54, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 468, 4489, 3883, 512, 14358, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 468, 595, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 6774, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 468, 8, 75078, 1819, 33, 12264, 101, 468, 8, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 75078, 320, 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101, 468, 8, 75078, 468, 1192, 1163, 8477, 25, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 696, 3883, 512, 1209, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 8, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 6774, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 54, 75078, 320, 33, 12264, 101, 468, 7861, 75078, 468, 198, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 54, 75078, 320, 54, 75078, 320, 33, 12264, 101, 468, 6054, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 54, 75078, 426, 8, 12264, 101, 320, 54, 75078, 468, 595, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 75078, 320, 54, 12264, 101, 426, 595, 75078, 468, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 54, 75078, 426, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 6774, 54, 75078, 426, 8, 12264, 101, 220, 16, 8, 75078, 1819, 54, 75078, 426, 8, 12264, 101, 220, 15, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 1209, 54, 75078, 426, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 1209, 33, 75078, 468, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 340, 1163, 8477, 25, 1819, 54, 75078, 426, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 54, 75078, 320, 33, 12264, 101, 468, 595, 75078, 468, 8], "tokenizer": "cl100k_base", "tokens_len": 1533, "data_type": "boolean", "txt": "Original: ((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\n\nOptions:\n((W \u2228 B) \u2227 (W \u2227 W)) \u2227 ((W \u2227 B) \u2228 (1 \u2227 0))\n(((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2228 B)) \u2227 (W \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 W) \u2227 (W \u2228 B))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2228 B) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((B \u2228 W) \u2227 (W \u2227 W))\n((1 \u2227 0) \u2228 (W \u2227 B)) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\n(((W \u2227 B) \u2228 1) \u2227 ((W \u2227 B) \u2228 0)) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\n((W \u2227 B) \u2228 0) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\n((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\n((B \u2227 W) \u2228 (1 \u2227 0)) \u2227 ((W \u2228 B) \u2227 (W \u2227 W))\nChosen: ((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n\nOptions:\n(((W \u2228 B) \u2227 W) \u2227 W) \u2227 ((W \u2227 B) \u2228 (1 \u2227 0))\n(((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2228 B) \u2227 W)) \u2227 W\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 ((W \u2228 B) \u2227 W))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (W \u2228 B)) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n((1 \u2227 0) \u2228 (W \u2227 B)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n(((W \u2227 B) \u2228 1) \u2227 ((W \u2227 B) \u2228 0)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n((W \u2227 B) \u2228 0) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\n((B \u2227 W) \u2228 (1 \u2227 0)) \u2227 (((W \u2228 B) \u2227 W) \u2227 W)\nChosen: ((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n\nOptions:\n(((B \u2228 W) \u2227 W) \u2227 W) \u2227 ((W \u2227 B) \u2228 (1 \u2227 0))\n(((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((B \u2228 W) \u2227 W)) \u2227 W\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((B \u2228 W) \u2227 (W \u2227 W))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n((1 \u2227 0) \u2228 (W \u2227 B)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n(((W \u2227 B) \u2228 1) \u2227 ((W \u2227 B) \u2228 0)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n((W \u2227 B) \u2228 0) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\n((B \u2227 W) \u2228 (1 \u2227 0)) \u2227 (((B \u2228 W) \u2227 W) \u2227 W)\nChosen: ((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n\nOptions:\n(W \u2227 ((B \u2228 W) \u2227 W)) \u2227 ((W \u2227 B) \u2228 (1 \u2227 0))\n(((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 W) \u2227 ((B \u2228 W) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 (W \u2227 (B \u2228 W)))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 ((W \u2228 B) \u2227 W))\n((1 \u2227 0) \u2228 (W \u2227 B)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n(((W \u2227 B) \u2228 1) \u2227 ((W \u2227 B) \u2228 0)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n((W \u2227 B) \u2228 0) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\n((B \u2227 W) \u2228 (1 \u2227 0)) \u2227 (W \u2227 ((B \u2228 W) \u2227 W))\nChosen: ((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n\nOptions:\n((W \u2227 (B \u2228 W)) \u2227 W) \u2227 ((W \u2227 B) \u2228 (1 \u2227 0))\n(((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 (B \u2228 W))) \u2227 W\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (W \u2227 (W \u2227 (B \u2228 W)))\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 (((W \u2227 B) \u2228 (W \u2227 W)) \u2227 W)\n((W \u2227 B) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (W \u2228 B)) \u2227 W)\n((1 \u2227 0) \u2228 (W \u2227 B)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n(((W \u2227 B) \u2228 1) \u2227 ((W \u2227 B) \u2228 0)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n((W \u2227 B) \u2228 0) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\n((B \u2227 W) \u2228 (1 \u2227 0)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)\nChosen: ((W \u2227 B) \u2228 (0 \u2227 1)) \u2227 ((W \u2227 (B \u2228 W)) \u2227 W)", "id": 1606}, {"char_len": 1611, "tokens": [18902, 25, 1819, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 595, 12264, 101, 1819, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 1192, 6774, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 15, 12264, 101, 473, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1209, 16, 75078, 473, 8, 75078, 320, 41, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 6774, 41, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 320, 39, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 7, 16, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1209, 16, 12264, 101, 622, 8, 75078, 320, 16, 75078, 473, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 595, 12264, 101, 1819, 41, 12264, 101, 220, 16, 8, 75078, 473, 340, 6774, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 15, 12264, 101, 473, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 473, 340, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 1192, 1209, 41, 12264, 101, 220, 16, 8, 75078, 473, 8, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 473, 1192, 11135, 75078, 320, 41, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 7, 16, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1209, 16, 12264, 101, 622, 8, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 320, 16, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 595, 12264, 101, 320, 16, 75078, 473, 340, 1209, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 7, 16, 75078, 473, 8, 12264, 101, 1819, 15, 12264, 101, 473, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 473, 8, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 473, 340, 7, 16, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 473, 340, 7, 16, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 1192, 7, 16, 75078, 473, 8, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 473, 1192, 39, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 11135, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 696, 3883, 512, 7, 15, 12264, 101, 473, 8, 12264, 101, 1819, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 473, 198, 1209, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 473, 198, 1209, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 39, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 473, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 1209, 16, 75078, 473, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 473, 340, 11135, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 1209, 39, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 15, 12264, 101, 473, 340, 1163, 8477, 25, 1819, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 473, 271, 3883, 512, 39, 12264, 101, 1819, 16, 75078, 473, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 473, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 473, 340, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 473, 595, 12264, 101, 473, 198, 1209, 16, 75078, 473, 8, 12264, 101, 220, 15, 8, 12264, 101, 473, 198, 11135, 12264, 101, 320, 83193, 16, 595, 12264, 101, 473, 198, 1209, 39, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 473, 198, 1163, 8477, 25, 1819, 16, 75078, 473, 8, 12264, 101, 220, 15, 8, 12264, 101, 473], "tokenizer": "cl100k_base", "tokens_len": 1107, "data_type": "boolean", "txt": "Original: ((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 H)) \u2228 ((J \u2228 1) \u2227 (1 \u2227 H))\n(((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\n((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 ((0 \u2228 H) \u2228 (\u00ac1))\n((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 (((\u00ac1) \u2228 0) \u2228 H)\n((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 H)\n((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (H \u2228 0))\n((J \u2228 1) \u2227 (1 \u2227 H)) \u2228 (0 \u2228 (0 \u2228 H))\n((1 \u2227 H) \u2227 (J \u2228 1)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n(((J \u2228 1) \u2227 1) \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n((J \u2228 1) \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n((J \u2228 1) \u2227 (H \u2227 1)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n(1 \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n((1 \u2228 J) \u2227 (1 \u2227 H)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\nChosen: ((J \u2228 1) \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 H)) \u2228 ((J \u2228 1) \u2227 H)\n(((J \u2228 1) \u2227 H) \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\n((J \u2228 1) \u2227 H) \u2228 ((0 \u2228 H) \u2228 (\u00ac1))\n((J \u2228 1) \u2227 H) \u2228 (((\u00ac1) \u2228 0) \u2228 H)\n((J \u2228 1) \u2227 H) \u2228 ((\u00ac1) \u2228 H)\n((J \u2228 1) \u2227 H) \u2228 ((\u00ac1) \u2228 (H \u2228 0))\n((J \u2228 1) \u2227 H) \u2228 (0 \u2228 (0 \u2228 H))\n(H \u2227 (J \u2228 1)) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n(1 \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n((1 \u2228 J) \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\nChosen: (1 \u2227 H) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 H)) \u2228 (1 \u2227 H)\n((1 \u2227 H) \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\n(1 \u2227 H) \u2228 ((0 \u2228 H) \u2228 (\u00ac1))\n(1 \u2227 H) \u2228 (((\u00ac1) \u2228 0) \u2228 H)\n(1 \u2227 H) \u2228 ((\u00ac1) \u2228 H)\n(1 \u2227 H) \u2228 ((\u00ac1) \u2228 (H \u2228 0))\n(1 \u2227 H) \u2228 (0 \u2228 (0 \u2228 H))\nH \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\n(H \u2227 1) \u2228 ((\u00ac1) \u2228 (0 \u2228 H))\nChosen: ((1 \u2227 H) \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\n\nOptions:\n(0 \u2228 H) \u2228 ((1 \u2227 H) \u2228 (\u00ac1))\n(((1 \u2227 H) \u2228 (\u00ac1)) \u2228 0) \u2228 H\n((1 \u2227 H) \u2228 (\u00ac1)) \u2228 H\n((1 \u2227 H) \u2228 (\u00ac1)) \u2228 (H \u2228 0)\n((\u00ac1) \u2228 (1 \u2227 H)) \u2228 (0 \u2228 H)\n((1 \u2227 H) \u2228 0) \u2228 (0 \u2228 H)\n(H \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\n((H \u2227 1) \u2228 (\u00ac1)) \u2228 (0 \u2228 H)\nChosen: ((1 \u2227 H) \u2228 (\u00ac1)) \u2228 H\n\nOptions:\nH \u2228 ((1 \u2227 H) \u2228 (\u00ac1))\n(1 \u2227 H) \u2228 ((\u00ac1) \u2228 H)\n((\u00ac1) \u2228 (1 \u2227 H)) \u2228 H\n((1 \u2227 H) \u2228 0) \u2228 H\n(H \u2228 (\u00ac1)) \u2228 H\n((H \u2227 1) \u2228 (\u00ac1)) \u2228 H\nChosen: ((1 \u2227 H) \u2228 0) \u2228 H", "id": 1607}, {"char_len": 1029, "tokens": [18902, 25, 320, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 4489, 3883, 512, 1209, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 57, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 42, 75078, 220, 16, 340, 7, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 11861, 42, 75078, 220, 16, 8, 12264, 101, 735, 8, 75078, 1819, 42, 75078, 220, 16, 8, 12264, 101, 220, 16, 1192, 7, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 735, 340, 7, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 735, 1192, 7, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 320, 42, 12264, 101, 320, 42, 75078, 220, 16, 1192, 7, 83193, 7, 57, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 1901, 595, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 4489, 3883, 512, 1209, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 320, 42, 75078, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 11861, 42, 75078, 220, 16, 8, 12264, 101, 735, 8, 75078, 1819, 42, 75078, 220, 16, 8, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 735, 340, 7, 83193, 16, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 735, 1192, 7, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 320, 42, 75078, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 15, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 735, 696, 3883, 512, 1209, 42, 75078, 220, 16, 8, 12264, 101, 735, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 42, 75078, 220, 16, 595, 12264, 101, 735, 198, 7, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 320, 42, 75078, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 735, 340, 7, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 735, 340, 15, 12264, 101, 1819, 42, 75078, 220, 16, 8, 12264, 101, 735, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 735, 696, 3883, 512, 1209, 16, 75078, 735, 8, 12264, 101, 735, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 735, 595, 12264, 101, 735, 198, 7, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 320, 16, 75078, 735, 1192, 7, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 735, 340, 15, 12264, 101, 1819, 16, 75078, 735, 8, 12264, 101, 735, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 42, 12264, 101, 735, 696, 3883, 512, 17155, 12264, 101, 735, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 735, 8, 12264, 101, 735, 198, 7, 83193, 16, 8, 12264, 101, 735, 198, 15, 12264, 101, 320, 42, 12264, 101, 735, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 735], "tokenizer": "cl100k_base", "tokens_len": 716, "data_type": "boolean", "txt": "Original: (\u00ac(Z \u2228 1)) \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\n\nOptions:\n((K \u2227 1) \u2228 (K \u2227 1)) \u2228 (\u00ac(Z \u2228 1))\n((\u00ac(Z \u2228 1)) \u2228 (K \u2227 1)) \u2228 (K \u2227 1)\n(\u00ac(Z \u2228 1)) \u2228 (((K \u2227 1) \u2228 K) \u2227 ((K \u2227 1) \u2228 1))\n(\u00ac(Z \u2228 1)) \u2228 ((K \u2227 1) \u2228 K)\n(\u00ac(Z \u2228 1)) \u2228 ((K \u2227 1) \u2228 (1 \u2227 K))\n(\u00ac(Z \u2228 1)) \u2228 (K \u2228 (K \u2227 1))\n(\u00ac(Z \u2228 1)) \u2228 ((1 \u2227 K) \u2228 (K \u2227 1))\n((\u00acZ) \u2227 (\u00ac1)) \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\n(\u00ac1) \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\n(\u00ac(1 \u2228 Z)) \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\nChosen: (\u00ac1) \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\n\nOptions:\n((K \u2227 1) \u2228 (K \u2227 1)) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (K \u2227 1)) \u2228 (K \u2227 1)\n(\u00ac1) \u2228 (((K \u2227 1) \u2228 K) \u2227 ((K \u2227 1) \u2228 1))\n(\u00ac1) \u2228 ((K \u2227 1) \u2228 K)\n(\u00ac1) \u2228 ((K \u2227 1) \u2228 (1 \u2227 K))\n(\u00ac1) \u2228 (K \u2228 (K \u2227 1))\n(\u00ac1) \u2228 ((1 \u2227 K) \u2228 (K \u2227 1))\n0 \u2228 ((K \u2227 1) \u2228 (K \u2227 1))\nChosen: (\u00ac1) \u2228 ((K \u2227 1) \u2228 K)\n\nOptions:\n((K \u2227 1) \u2228 K) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (K \u2227 1)) \u2228 K\n(\u00ac1) \u2228 (K \u2228 (K \u2227 1))\n(\u00ac1) \u2228 (K \u2228 K)\n(\u00ac1) \u2228 ((1 \u2227 K) \u2228 K)\n0 \u2228 ((K \u2227 1) \u2228 K)\nChosen: (\u00ac1) \u2228 ((1 \u2227 K) \u2228 K)\n\nOptions:\n((1 \u2227 K) \u2228 K) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (1 \u2227 K)) \u2228 K\n(\u00ac1) \u2228 (K \u2228 (1 \u2227 K))\n(\u00ac1) \u2228 (K \u2228 K)\n0 \u2228 ((1 \u2227 K) \u2228 K)\nChosen: (\u00ac1) \u2228 (K \u2228 K)\n\nOptions:\n(K \u2228 K) \u2228 (\u00ac1)\n((\u00ac1) \u2228 K) \u2228 K\n(\u00ac1) \u2228 K\n0 \u2228 (K \u2228 K)\nChosen: (\u00ac1) \u2228 K", "id": 1608}, {"char_len": 2445, "tokens": [18902, 25, 1819, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 4489, 3883, 512, 1209, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 1192, 6774, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 328, 340, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 11861, 50, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 50, 12264, 101, 220, 16, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 15, 12264, 101, 328, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 6774, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 12264, 101, 650, 8, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 3844, 12264, 101, 320, 53, 12264, 101, 320, 16, 12264, 101, 650, 7861, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 53, 12264, 101, 220, 16, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 53, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 4489, 3883, 512, 3844, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 1192, 6774, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 328, 340, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 1819, 50, 75078, 220, 16, 8, 12264, 101, 320, 50, 75078, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 75078, 220, 16, 340, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 50, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 6774, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 12264, 101, 650, 8, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 3844, 12264, 101, 320, 53, 12264, 101, 320, 16, 12264, 101, 650, 7861, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 12264, 101, 650, 8, 12264, 101, 320, 53, 12264, 101, 220, 16, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 53, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 11861, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 696, 3883, 512, 7, 16, 12264, 101, 328, 8, 75078, 11861, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 340, 67944, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 52200, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 328, 340, 6774, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 198, 6774, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 340, 3844, 75078, 1819, 50, 12264, 101, 650, 8, 12264, 101, 320, 16, 12264, 101, 650, 7861, 75078, 320, 16, 12264, 101, 328, 340, 6774, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 67944, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 12264, 101, 650, 8, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1209, 50, 12264, 101, 320, 53, 12264, 101, 320, 16, 12264, 101, 650, 7861, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 50, 12264, 101, 650, 8, 12264, 101, 320, 53, 12264, 101, 220, 16, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 53, 12264, 101, 328, 8, 12264, 101, 320, 16, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1163, 8477, 25, 11861, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 696, 3883, 512, 7, 16, 12264, 101, 328, 8, 75078, 11861, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 340, 1209, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 67944, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 52200, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 328, 340, 6774, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 198, 6774, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 340, 3844, 75078, 1819, 16, 12264, 101, 650, 8, 12264, 101, 320, 50, 12264, 101, 650, 7861, 75078, 320, 16, 12264, 101, 328, 340, 67944, 16, 12264, 101, 650, 8, 12264, 101, 328, 8, 12264, 101, 650, 8, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1209, 16, 12264, 101, 320, 53, 12264, 101, 320, 50, 12264, 101, 650, 7861, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 16, 12264, 101, 650, 8, 12264, 101, 320, 53, 12264, 101, 328, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1209, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 53, 12264, 101, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 696, 3883, 512, 7, 16, 12264, 101, 328, 8, 75078, 1819, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 340, 7, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 1192, 6774, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 11861, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 328, 340, 1209, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16, 198, 1209, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 340, 3844, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 650, 7861, 75078, 320, 16, 12264, 101, 328, 340, 7, 16, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 50, 12264, 101, 650, 8, 12264, 101, 220, 16, 8, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 6774, 16, 12264, 101, 328, 8, 12264, 101, 650, 8, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1209, 16, 12264, 101, 320, 53, 12264, 101, 328, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 320, 50, 12264, 101, 650, 595, 75078, 328, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1617, "data_type": "boolean", "txt": "Original: ((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n\nOptions:\n((S \u2228 0) \u2227 (1 \u2228 S)) \u2227 ((S \u2228 V) \u2228 (1 \u2228 V))\n(((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (S \u2228 0)) \u2227 (1 \u2228 S)\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((1 \u2228 S) \u2227 (S \u2228 0))\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (((S \u2228 0) \u2227 1) \u2228 ((S \u2228 0) \u2227 S))\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((S \u2228 0) \u2227 1)\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((S \u2228 0) \u2227 (S \u2228 1))\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((0 \u2228 S) \u2227 (1 \u2228 S))\n((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n(((S \u2228 V) \u2228 1) \u2228 V) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n(S \u2228 (V \u2228 (1 \u2228 V))) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n((S \u2228 V) \u2228 1) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n((S \u2228 V) \u2228 (V \u2228 1)) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\n((V \u2228 S) \u2228 (1 \u2228 V)) \u2227 ((S \u2228 0) \u2227 (1 \u2228 S))\nChosen: ((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\n\nOptions:\n(S \u2227 (1 \u2228 S)) \u2227 ((S \u2228 V) \u2228 (1 \u2228 V))\n(((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((1 \u2228 S) \u2227 S)\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 ((S \u2227 1) \u2228 (S \u2227 S))\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (S \u2227 1)\n((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 (S \u2227 (S \u2228 1))\n((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\n(((S \u2228 V) \u2228 1) \u2228 V) \u2227 (S \u2227 (1 \u2228 S))\n(S \u2228 (V \u2228 (1 \u2228 V))) \u2227 (S \u2227 (1 \u2228 S))\n((S \u2228 V) \u2228 1) \u2227 (S \u2227 (1 \u2228 S))\n((S \u2228 V) \u2228 (V \u2228 1)) \u2227 (S \u2227 (1 \u2228 S))\n((V \u2228 S) \u2228 (1 \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\nChosen: (((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n\nOptions:\n(1 \u2228 S) \u2227 (((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S)\n((((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 1) \u2228 ((((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 S)\n(((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 1\n(((S \u2228 V) \u2228 (1 \u2228 V)) \u2227 S) \u2227 (S \u2228 1)\n(S \u2227 ((S \u2228 V) \u2228 (1 \u2228 V))) \u2227 (1 \u2228 S)\n(((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n((((S \u2228 V) \u2228 1) \u2228 V) \u2227 S) \u2227 (1 \u2228 S)\n((S \u2228 (V \u2228 (1 \u2228 V))) \u2227 S) \u2227 (1 \u2228 S)\n(((S \u2228 V) \u2228 1) \u2227 S) \u2227 (1 \u2228 S)\n(((S \u2228 V) \u2228 (V \u2228 1)) \u2227 S) \u2227 (1 \u2228 S)\n(((V \u2228 S) \u2228 (1 \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\nChosen: (((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n\nOptions:\n(1 \u2228 S) \u2227 (((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S)\n((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\n((((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 1) \u2228 ((((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 S)\n(((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 1\n(((1 \u2228 V) \u2228 (S \u2228 V)) \u2227 S) \u2227 (S \u2228 1)\n(S \u2227 ((1 \u2228 V) \u2228 (S \u2228 V))) \u2227 (1 \u2228 S)\n((((1 \u2228 V) \u2228 S) \u2228 V) \u2227 S) \u2227 (1 \u2228 S)\n((1 \u2228 (V \u2228 (S \u2228 V))) \u2227 S) \u2227 (1 \u2228 S)\n(((1 \u2228 V) \u2228 (V \u2228 S)) \u2227 S) \u2227 (1 \u2228 S)\n((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n(((V \u2228 1) \u2228 (S \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\nChosen: ((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 (1 \u2228 S)\n\nOptions:\n(1 \u2228 S) \u2227 ((1 \u2228 (S \u2228 V)) \u2227 S)\n(1 \u2228 (S \u2228 V)) \u2227 (S \u2227 (1 \u2228 S))\n(((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 1) \u2228 (((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 S)\n((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 1\n((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 (S \u2228 1)\n(S \u2227 (1 \u2228 (S \u2228 V))) \u2227 (1 \u2228 S)\n(1 \u2227 S) \u2227 (1 \u2228 S)\n(((S \u2228 V) \u2228 1) \u2227 S) \u2227 (1 \u2228 S)\n(((1 \u2228 S) \u2228 V) \u2227 S) \u2227 (1 \u2228 S)\n((1 \u2228 (V \u2228 S)) \u2227 S) \u2227 (1 \u2228 S)\nChosen: ((1 \u2228 (S \u2228 V)) \u2227 S) \u2227 1", "id": 1609}, {"char_len": 882, "tokens": [18902, 25, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 1192, 7, 83193, 32, 8, 75078, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 6054, 1209, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 340, 1209, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 32, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 6774, 83193, 32, 8, 75078, 362, 8, 12264, 101, 1819, 83193, 32, 8, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 32, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 32, 8, 75078, 320, 16, 12264, 101, 362, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 1192, 7, 83193, 32, 8, 75078, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 1209, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 32, 595, 75078, 320, 83193, 15, 340, 6774, 83193, 32, 8, 75078, 362, 8, 12264, 101, 1819, 83193, 32, 8, 75078, 220, 16, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 32, 8, 75078, 220, 16, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 32, 8, 75078, 320, 16, 12264, 101, 362, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 595, 75078, 220, 16, 271, 3883, 512, 7, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 340, 16, 75078, 1819, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 1192, 7, 83193, 32, 8, 75078, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1209, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 32, 595, 75078, 220, 16, 198, 6774, 83193, 32, 8, 75078, 362, 8, 12264, 101, 1819, 83193, 32, 8, 75078, 220, 16, 595, 75078, 220, 16, 198, 1209, 83193, 32, 8, 75078, 220, 16, 8, 75078, 220, 16, 198, 1209, 83193, 32, 8, 75078, 320, 16, 12264, 101, 362, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 320, 32, 12264, 101, 220, 16, 696, 3883, 512, 4444, 12264, 101, 220, 16, 8, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 75078, 362, 8, 12264, 101, 1819, 83193, 32, 8, 75078, 220, 16, 340, 7, 83193, 32, 8, 75078, 220, 16, 198, 7, 83193, 32, 8, 75078, 320, 16, 12264, 101, 362, 340, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 320, 16, 12264, 101, 362, 696, 3883, 512, 7, 16, 12264, 101, 362, 8, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 32, 8, 75078, 362, 340, 7, 83193, 32, 8, 75078, 220, 16, 198, 1163, 8477, 25, 320, 16, 12264, 101, 362, 8, 75078, 320, 83193, 32, 8], "tokenizer": "cl100k_base", "tokens_len": 594, "data_type": "boolean", "txt": "Original: ((\u00acA) \u2227 (A \u2228 1)) \u2227 (\u00ac(0 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2227 ((\u00acA) \u2227 (A \u2228 1))\n(\u00acA) \u2227 ((A \u2228 1) \u2227 (\u00ac(0 \u2228 0)))\n((\u00acA) \u2227 (A \u2228 1)) \u2227 ((\u00ac0) \u2227 (\u00ac0))\n((\u00acA) \u2227 (A \u2228 1)) \u2227 (\u00ac0)\n((A \u2228 1) \u2227 (\u00acA)) \u2227 (\u00ac(0 \u2228 0))\n(((\u00acA) \u2227 A) \u2228 ((\u00acA) \u2227 1)) \u2227 (\u00ac(0 \u2228 0))\n((\u00acA) \u2227 1) \u2227 (\u00ac(0 \u2228 0))\n((\u00acA) \u2227 (1 \u2228 A)) \u2227 (\u00ac(0 \u2228 0))\nChosen: ((\u00acA) \u2227 (A \u2228 1)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 ((\u00acA) \u2227 (A \u2228 1))\n(\u00acA) \u2227 ((A \u2228 1) \u2227 (\u00ac0))\n((\u00acA) \u2227 (A \u2228 1)) \u2227 1\n((A \u2228 1) \u2227 (\u00acA)) \u2227 (\u00ac0)\n(((\u00acA) \u2227 A) \u2228 ((\u00acA) \u2227 1)) \u2227 (\u00ac0)\n((\u00acA) \u2227 1) \u2227 (\u00ac0)\n((\u00acA) \u2227 (1 \u2228 A)) \u2227 (\u00ac0)\nChosen: ((\u00acA) \u2227 (A \u2228 1)) \u2227 1\n\nOptions:\n(\u00acA) \u2227 (A \u2228 1)\n1 \u2227 ((\u00acA) \u2227 (A \u2228 1))\n(\u00acA) \u2227 ((A \u2228 1) \u2227 1)\n((A \u2228 1) \u2227 (\u00acA)) \u2227 1\n(((\u00acA) \u2227 A) \u2228 ((\u00acA) \u2227 1)) \u2227 1\n((\u00acA) \u2227 1) \u2227 1\n((\u00acA) \u2227 (1 \u2228 A)) \u2227 1\nChosen: (\u00acA) \u2227 (A \u2228 1)\n\nOptions:\n(A \u2228 1) \u2227 (\u00acA)\n((\u00acA) \u2227 A) \u2228 ((\u00acA) \u2227 1)\n(\u00acA) \u2227 1\n(\u00acA) \u2227 (1 \u2228 A)\nChosen: (\u00acA) \u2227 (1 \u2228 A)\n\nOptions:\n(1 \u2228 A) \u2227 (\u00acA)\n((\u00acA) \u2227 1) \u2228 ((\u00acA) \u2227 A)\n(\u00acA) \u2227 1\nChosen: (1 \u2228 A) \u2227 (\u00acA)", "id": 1610}, {"char_len": 268, "tokens": [18902, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 220, 16, 340, 83193, 7, 16, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 83193, 15, 340, 15, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 15, 12264, 101, 220, 15, 198, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 173, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac0) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 1)\n\u00ac(1 \u2227 (\u00ac0))\nChosen: (\u00ac(\u00ac0)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 0\n(\u00ac(\u00ac0)) \u2228 (\u00ac1)\n0 \u2228 (\u00ac(\u00ac0))\n(\u00ac1) \u2228 (\u00ac(\u00ac0))\nChosen: (\u00ac(\u00ac0)) \u2228 0\n\nOptions:\n\u00ac(\u00ac0)\n0 \u2228 (\u00ac(\u00ac0))\n0 \u2228 0\n(\u00ac1) \u2228 0\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1611}, {"char_len": 112, "tokens": [18902, 25, 97265, 7, 83193, 7, 41, 12264, 101, 220, 15, 4489, 3883, 512, 41, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 41, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 41, 340, 83193, 7, 83193, 7, 15, 12264, 101, 622, 1192, 1163, 8477, 25, 622, 12264, 101, 220, 15, 271, 3883, 512, 41, 198, 15, 12264, 101, 622, 198, 1163, 8477, 25, 622], "tokenizer": "cl100k_base", "tokens_len": 66, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(J \u2228 0))\n\nOptions:\nJ \u2228 0\n\u00ac((\u00acJ) \u2227 (\u00ac0))\n\u00ac(\u00acJ)\n\u00ac(\u00ac(0 \u2228 J))\nChosen: J \u2228 0\n\nOptions:\nJ\n0 \u2228 J\nChosen: J", "id": 1612}, {"char_len": 531, "tokens": [18902, 25, 97265, 1209, 50, 12264, 101, 480, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 50, 12264, 101, 480, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 50, 12264, 101, 480, 1192, 83193, 6774, 50, 12264, 101, 480, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 50, 12264, 101, 320, 38, 12264, 101, 320, 15, 12264, 101, 220, 15, 6054, 83193, 1209, 50, 12264, 101, 480, 8, 12264, 101, 220, 15, 340, 83193, 1209, 38, 12264, 101, 328, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 50, 12264, 101, 480, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 50, 12264, 101, 480, 595, 75078, 320, 83193, 15, 340, 83193, 7, 50, 12264, 101, 480, 340, 83193, 7, 15, 12264, 101, 320, 50, 12264, 101, 480, 1192, 83193, 7, 50, 12264, 101, 320, 38, 12264, 101, 220, 15, 1192, 83193, 1209, 38, 12264, 101, 328, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 50, 12264, 101, 480, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 50, 12264, 101, 480, 1192, 7, 83193, 7, 50, 12264, 101, 480, 595, 75078, 220, 16, 198, 1209, 83193, 50, 8, 75078, 320, 83193, 38, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 38, 12264, 101, 328, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 50, 12264, 101, 480, 595, 75078, 220, 16, 271, 3883, 512, 83193, 7, 50, 12264, 101, 480, 340, 16, 75078, 320, 83193, 7, 50, 12264, 101, 480, 1192, 1209, 83193, 50, 8, 75078, 320, 83193, 38, 595, 75078, 220, 16, 198, 7, 83193, 7, 38, 12264, 101, 328, 595, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 7, 50, 12264, 101, 480, 696, 3883, 512, 7, 83193, 50, 8, 75078, 320, 83193, 38, 340, 83193, 7, 38, 12264, 101, 328, 340, 1163, 8477, 25, 97265, 7, 38, 12264, 101, 328, 8], "tokenizer": "cl100k_base", "tokens_len": 354, "data_type": "boolean", "txt": "Original: \u00ac((S \u2228 G) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(S \u2228 G)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (S \u2228 G))\n\u00ac(((S \u2228 G) \u2228 0) \u2228 0)\n\u00ac(S \u2228 (G \u2228 (0 \u2228 0)))\n\u00ac((S \u2228 G) \u2228 0)\n\u00ac((G \u2228 S) \u2228 (0 \u2228 0))\nChosen: \u00ac((S \u2228 G) \u2228 0)\n\nOptions:\n(\u00ac(S \u2228 G)) \u2227 (\u00ac0)\n\u00ac(S \u2228 G)\n\u00ac(0 \u2228 (S \u2228 G))\n\u00ac(S \u2228 (G \u2228 0))\n\u00ac((G \u2228 S) \u2228 0)\nChosen: (\u00ac(S \u2228 G)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(S \u2228 G))\n(\u00ac(S \u2228 G)) \u2227 1\n((\u00acS) \u2227 (\u00acG)) \u2227 (\u00ac0)\n(\u00ac(G \u2228 S)) \u2227 (\u00ac0)\nChosen: (\u00ac(S \u2228 G)) \u2227 1\n\nOptions:\n\u00ac(S \u2228 G)\n1 \u2227 (\u00ac(S \u2228 G))\n((\u00acS) \u2227 (\u00acG)) \u2227 1\n(\u00ac(G \u2228 S)) \u2227 1\nChosen: \u00ac(S \u2228 G)\n\nOptions:\n(\u00acS) \u2227 (\u00acG)\n\u00ac(G \u2228 S)\nChosen: \u00ac(G \u2228 S)", "id": 1613}, {"char_len": 184, "tokens": [18902, 25, 320, 83193, 7, 83193, 53, 595, 12264, 101, 320, 83193, 7, 53, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 53, 75078, 650, 595, 12264, 101, 320, 83193, 7, 83193, 53, 1192, 7, 83193, 7, 83193, 53, 595, 12264, 101, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 53, 1192, 7, 83193, 7, 83193, 53, 595, 12264, 101, 320, 83193, 53, 340, 53, 12264, 101, 320, 83193, 7, 53, 75078, 650, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 53, 595, 12264, 101, 320, 83193, 53, 696, 3883, 512, 16, 198, 7, 83193, 53, 8, 12264, 101, 320, 83193, 7, 83193, 53, 1192, 53, 12264, 101, 320, 83193, 53, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 117, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acV)) \u2228 (\u00ac(V \u2227 V))\n\nOptions:\n(\u00ac(V \u2227 V)) \u2228 (\u00ac(\u00acV))\n(\u00ac(\u00acV)) \u2228 ((\u00acV) \u2228 (\u00acV))\n(\u00ac(\u00acV)) \u2228 (\u00acV)\nV \u2228 (\u00ac(V \u2227 V))\nChosen: (\u00ac(\u00acV)) \u2228 (\u00acV)\n\nOptions:\n1\n(\u00acV) \u2228 (\u00ac(\u00acV))\nV \u2228 (\u00acV)\nChosen: 1", "id": 1614}, {"char_len": 1242, "tokens": [18902, 25, 97265, 1209, 49, 75078, 432, 8, 12264, 101, 320, 41, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 49, 75078, 432, 595, 75078, 320, 83193, 7, 41, 12264, 101, 622, 1192, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 320, 49, 75078, 432, 1192, 83193, 6774, 49, 75078, 432, 8, 12264, 101, 622, 8, 12264, 101, 622, 340, 83193, 1209, 49, 75078, 432, 8, 12264, 101, 622, 340, 83193, 7, 49, 12264, 101, 320, 41, 12264, 101, 622, 1192, 1163, 8477, 25, 97265, 1209, 41, 12264, 101, 622, 8, 12264, 101, 320, 49, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 41, 12264, 101, 622, 595, 75078, 320, 83193, 7, 49, 75078, 432, 1192, 83193, 7, 41, 12264, 101, 320, 41, 12264, 101, 320, 49, 75078, 432, 6054, 83193, 6774, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 1819, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 340, 83193, 7, 41, 12264, 101, 320, 49, 75078, 432, 1192, 1163, 8477, 25, 97265, 6774, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 1819, 41, 12264, 101, 622, 8, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 83193, 67944, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 320, 41, 12264, 101, 622, 595, 12264, 101, 11861, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 432, 1192, 83193, 6774, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 320, 49, 12264, 101, 320, 41, 12264, 101, 622, 6054, 83193, 6774, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 320, 41, 12264, 101, 320, 41, 12264, 101, 432, 6054, 83193, 6774, 41, 12264, 101, 622, 8, 12264, 101, 432, 8, 75078, 320, 41, 12264, 101, 432, 1192, 83193, 1209, 49, 12264, 101, 320, 41, 12264, 101, 622, 595, 75078, 1819, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 83193, 1209, 41, 12264, 101, 320, 41, 12264, 101, 432, 595, 75078, 1819, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 83193, 1209, 41, 12264, 101, 432, 8, 75078, 1819, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 1163, 8477, 25, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 7, 41, 12264, 101, 622, 595, 75078, 320, 83193, 49, 1192, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 320, 41, 12264, 101, 622, 6054, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 320, 41, 12264, 101, 432, 6054, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 432, 1192, 1209, 83193, 7, 41, 12264, 101, 622, 595, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 7, 83193, 7, 49, 12264, 101, 320, 41, 12264, 101, 622, 7861, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 7, 83193, 7, 41, 12264, 101, 320, 41, 12264, 101, 432, 7861, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 7, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 4489, 3883, 512, 7, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 432, 1192, 7, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 7, 41, 12264, 101, 622, 595, 75078, 320, 83193, 49, 1192, 7, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 320, 41, 12264, 101, 622, 6054, 7, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 320, 41, 12264, 101, 432, 6054, 7, 83193, 7, 41, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 432, 1192, 1209, 83193, 41, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 7, 83193, 7, 49, 12264, 101, 622, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 1192, 1163, 8477, 25, 1819, 83193, 41, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 83193, 1209, 41, 12264, 101, 622, 8, 12264, 101, 432, 595], "tokenizer": "cl100k_base", "tokens_len": 823, "data_type": "boolean", "txt": "Original: \u00ac((R \u2227 R) \u2228 (J \u2228 J))\n\nOptions:\n(\u00ac(R \u2227 R)) \u2227 (\u00ac(J \u2228 J))\n\u00ac((J \u2228 J) \u2228 (R \u2227 R))\n\u00ac(((R \u2227 R) \u2228 J) \u2228 J)\n\u00ac((R \u2227 R) \u2228 J)\n\u00ac(R \u2228 (J \u2228 J))\nChosen: \u00ac((J \u2228 J) \u2228 (R \u2227 R))\n\nOptions:\n(\u00ac(J \u2228 J)) \u2227 (\u00ac(R \u2227 R))\n\u00ac(J \u2228 (J \u2228 (R \u2227 R)))\n\u00ac(((J \u2228 J) \u2228 R) \u2227 ((J \u2228 J) \u2228 R))\n\u00ac((J \u2228 J) \u2228 R)\n\u00ac(J \u2228 (R \u2227 R))\nChosen: \u00ac(((J \u2228 J) \u2228 R) \u2227 ((J \u2228 J) \u2228 R))\n\nOptions:\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n\u00ac((((J \u2228 J) \u2228 R) \u2227 (J \u2228 J)) \u2228 (((J \u2228 J) \u2228 R) \u2227 R))\n\u00ac(((J \u2228 J) \u2228 R) \u2227 (R \u2228 (J \u2228 J)))\n\u00ac(((J \u2228 J) \u2228 R) \u2227 (J \u2228 (J \u2228 R)))\n\u00ac(((J \u2228 J) \u2228 R) \u2227 (J \u2228 R))\n\u00ac((R \u2228 (J \u2228 J)) \u2227 ((J \u2228 J) \u2228 R))\n\u00ac((J \u2228 (J \u2228 R)) \u2227 ((J \u2228 J) \u2228 R))\n\u00ac((J \u2228 R) \u2227 ((J \u2228 J) \u2228 R))\nChosen: (\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n\nOptions:\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 ((\u00ac(J \u2228 J)) \u2227 (\u00acR))\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac(R \u2228 (J \u2228 J)))\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac(J \u2228 (J \u2228 R)))\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac(J \u2228 R))\n((\u00ac(J \u2228 J)) \u2227 (\u00acR)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n(\u00ac(R \u2228 (J \u2228 J))) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n(\u00ac(J \u2228 (J \u2228 R))) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n(\u00ac(J \u2228 R)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\nChosen: (\u00ac(J \u2228 R)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n\nOptions:\n(\u00ac((J \u2228 J) \u2228 R)) \u2228 (\u00ac(J \u2228 R))\n(\u00ac(J \u2228 R)) \u2228 ((\u00ac(J \u2228 J)) \u2227 (\u00acR))\n(\u00ac(J \u2228 R)) \u2228 (\u00ac(R \u2228 (J \u2228 J)))\n(\u00ac(J \u2228 R)) \u2228 (\u00ac(J \u2228 (J \u2228 R)))\n(\u00ac(J \u2228 R)) \u2228 (\u00ac(J \u2228 R))\n((\u00acJ) \u2227 (\u00acR)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\n(\u00ac(R \u2228 J)) \u2228 (\u00ac((J \u2228 J) \u2228 R))\nChosen: ((\u00acJ) \u2227 (\u00acR)) \u2228 (\u00ac((J \u2228 J) \u2228 R))", "id": 1615}, {"char_len": 468, "tokens": [18902, 25, 1819, 83193, 40, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 40, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1209, 83193, 40, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 40, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 40, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 83193, 40, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 40, 8, 75078, 220, 15, 340, 1209, 83193, 40, 8, 75078, 220, 15, 8, 12264, 101, 220, 16, 198, 15, 12264, 101, 320, 83193, 15, 340, 7, 15, 75078, 320, 83193, 40, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 15, 696, 3883, 512, 83193, 15, 198, 16, 198, 7, 83193, 15, 8, 12264, 101, 220, 15, 198, 15, 12264, 101, 220, 16, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 307, "data_type": "boolean", "txt": "Original: ((\u00acI) \u2227 (\u00ac1)) \u2228 (\u00ac(0 \u2227 0))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2228 ((\u00acI) \u2227 (\u00ac1))\n((\u00acI) \u2227 (\u00ac1)) \u2228 ((\u00ac0) \u2228 (\u00ac0))\n((\u00acI) \u2227 (\u00ac1)) \u2228 (\u00ac0)\n((\u00ac1) \u2227 (\u00acI)) \u2228 (\u00ac(0 \u2227 0))\n((\u00acI) \u2227 0) \u2228 (\u00ac(0 \u2227 0))\nChosen: ((\u00acI) \u2227 (\u00ac1)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((\u00acI) \u2227 (\u00ac1))\n((\u00acI) \u2227 (\u00ac1)) \u2228 1\n((\u00ac1) \u2227 (\u00acI)) \u2228 (\u00ac0)\n((\u00acI) \u2227 0) \u2228 (\u00ac0)\nChosen: ((\u00acI) \u2227 0) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((\u00acI) \u2227 0)\n((\u00acI) \u2227 0) \u2228 1\n0 \u2228 (\u00ac0)\n(0 \u2227 (\u00acI)) \u2228 (\u00ac0)\nChosen: 0 \u2228 (\u00ac0)\n\nOptions:\n\u00ac0\n1\n(\u00ac0) \u2228 0\n0 \u2228 1\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1616}, {"char_len": 138, "tokens": [18902, 25, 97265, 7, 83193, 7, 38, 75078, 220, 15, 4489, 3883, 512, 38, 75078, 220, 15, 198, 83193, 1209, 83193, 38, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 15, 75078, 480, 1192, 1163, 8477, 25, 480, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 480, 198, 1163, 8477, 25, 220, 15, 75078, 480, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 75, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(G \u2227 0))\n\nOptions:\nG \u2227 0\n\u00ac((\u00acG) \u2228 (\u00ac0))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(0 \u2227 G))\nChosen: G \u2227 0\n\nOptions:\n0\n0 \u2227 G\nChosen: 0 \u2227 G\n\nOptions:\n0\nChosen: 0", "id": 1617}, {"char_len": 1632, "tokens": [18902, 25, 1819, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 1192, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1209, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 1209, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 48, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 16, 75078, 220, 16, 8, 75078, 1229, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 16, 75078, 320, 48, 75078, 220, 15, 7861, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 15, 75078, 1229, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 19789, 3883, 512, 1209, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 75078, 320, 16, 75078, 220, 16, 340, 16, 75078, 320, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 23631, 7, 16, 75078, 220, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 48, 75078, 220, 15, 1192, 7, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 320, 15, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 23631, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 6054, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 7, 16, 75078, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 7, 16, 75078, 220, 16, 8, 75078, 1819, 15, 75078, 1229, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 19789, 3883, 512, 1209, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 320, 16, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 16, 75078, 320, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 23631, 7, 16, 75078, 220, 16, 8, 75078, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 48, 75078, 220, 15, 1192, 7, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 320, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 23631, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 6054, 7, 16, 75078, 220, 16, 8, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 7, 16, 75078, 220, 16, 8, 75078, 1819, 15, 75078, 1229, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 220, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 19789, 3883, 512, 6386, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 220, 16, 198, 7, 16, 75078, 320, 48, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 16, 75078, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 48, 75078, 220, 15, 1192, 16, 75078, 320, 48, 75078, 320, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 23631, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 6054, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 16, 75078, 1819, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 16, 75078, 320, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 16, 75078, 1819, 15, 75078, 1229, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 320, 48, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 48, 75078, 220, 15, 340, 48, 75078, 320, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 6386, 75078, 220, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 6386, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 6386, 75078, 220, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 15, 75078, 1229, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1071, "data_type": "boolean", "txt": "Original: ((1 \u2227 1) \u2227 (Q \u2227 0)) \u2227 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 ((1 \u2227 1) \u2227 (Q \u2227 0))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0)))\n((1 \u2227 1) \u2227 (Q \u2227 0)) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n((1 \u2227 1) \u2227 (Q \u2227 0)) \u2227 (\u00ac1)\n((1 \u2227 1) \u2227 (Q \u2227 0)) \u2227 (\u00ac(0 \u2228 1))\n((Q \u2227 0) \u2227 (1 \u2227 1)) \u2227 (\u00ac(1 \u2228 0))\n(((1 \u2227 1) \u2227 Q) \u2227 0) \u2227 (\u00ac(1 \u2228 0))\n(1 \u2227 (1 \u2227 (Q \u2227 0))) \u2227 (\u00ac(1 \u2228 0))\n((1 \u2227 1) \u2227 0) \u2227 (\u00ac(1 \u2228 0))\n((1 \u2227 1) \u2227 (0 \u2227 Q)) \u2227 (\u00ac(1 \u2228 0))\n(1 \u2227 (Q \u2227 0)) \u2227 (\u00ac(1 \u2228 0))\nChosen: (1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0)))\n\nOptions:\n((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0))) \u2227 (1 \u2227 1)\n1 \u2227 (1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0))))\n(1 \u2227 1) \u2227 ((\u00ac(1 \u2228 0)) \u2227 (Q \u2227 0))\n(1 \u2227 1) \u2227 (Q \u2227 (0 \u2227 (\u00ac(1 \u2228 0))))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 ((\u00ac1) \u2227 (\u00ac0)))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac1))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1)))\n(1 \u2227 1) \u2227 (0 \u2227 (\u00ac(1 \u2228 0)))\n(1 \u2227 1) \u2227 ((0 \u2227 Q) \u2227 (\u00ac(1 \u2228 0)))\n1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0)))\nChosen: (1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1)))\n\nOptions:\n((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1))) \u2227 (1 \u2227 1)\n((1 \u2227 1) \u2227 (Q \u2227 0)) \u2227 (\u00ac(0 \u2228 1))\n1 \u2227 (1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1))))\n(1 \u2227 1) \u2227 ((\u00ac(0 \u2228 1)) \u2227 (Q \u2227 0))\n(1 \u2227 1) \u2227 (Q \u2227 (0 \u2227 (\u00ac(0 \u2228 1))))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac1)))\n(1 \u2227 1) \u2227 ((Q \u2227 0) \u2227 (\u00ac1))\n(1 \u2227 1) \u2227 (0 \u2227 (\u00ac(0 \u2228 1)))\n(1 \u2227 1) \u2227 ((0 \u2227 Q) \u2227 (\u00ac(0 \u2228 1)))\n1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1)))\nChosen: 1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1)))\n\nOptions:\n(Q \u2227 0) \u2227 (\u00ac(0 \u2228 1))\n((Q \u2227 0) \u2227 (\u00ac(0 \u2228 1))) \u2227 1\n(1 \u2227 (Q \u2227 0)) \u2227 (\u00ac(0 \u2228 1))\n1 \u2227 ((\u00ac(0 \u2228 1)) \u2227 (Q \u2227 0))\n1 \u2227 (Q \u2227 (0 \u2227 (\u00ac(0 \u2228 1))))\n1 \u2227 ((Q \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac1)))\n1 \u2227 ((Q \u2227 0) \u2227 (\u00ac1))\n1 \u2227 ((Q \u2227 0) \u2227 (\u00ac(1 \u2228 0)))\n1 \u2227 (0 \u2227 (\u00ac(0 \u2228 1)))\n1 \u2227 ((0 \u2227 Q) \u2227 (\u00ac(0 \u2228 1)))\nChosen: (Q \u2227 0) \u2227 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 (Q \u2227 0)\nQ \u2227 (0 \u2227 (\u00ac(0 \u2228 1)))\n(Q \u2227 0) \u2227 ((\u00ac0) \u2227 (\u00ac1))\n(Q \u2227 0) \u2227 (\u00ac1)\n(Q \u2227 0) \u2227 (\u00ac(1 \u2228 0))\n0 \u2227 (\u00ac(0 \u2228 1))\n(0 \u2227 Q) \u2227 (\u00ac(0 \u2228 1))\nChosen: 0 \u2227 (\u00ac(0 \u2228 1))", "id": 1618}, {"char_len": 794, "tokens": [18902, 25, 320, 83193, 7, 15, 75078, 356, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 356, 1192, 7, 83193, 7, 15, 75078, 356, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 15, 75078, 356, 595, 12264, 101, 320, 83193, 34, 340, 7, 83193, 7, 15, 75078, 356, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 34, 340, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 34, 1192, 7, 83193, 7, 34, 75078, 220, 15, 595, 12264, 101, 320, 83193, 34, 340, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 7, 83193, 7, 15, 75078, 356, 595, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 7, 16, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 34, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 34, 340, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 16, 12264, 101, 320, 83193, 7, 16, 75078, 356, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 16, 75078, 356, 4489, 3883, 512, 16, 198, 7, 83193, 7, 16, 75078, 356, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 34, 1192, 16, 12264, 101, 320, 83193, 34, 340, 16, 12264, 101, 320, 83193, 7, 34, 75078, 220, 16, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 34, 8], "tokenizer": "cl100k_base", "tokens_len": 538, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2227 C)) \u2228 (\u00ac(C \u2227 1))\n\nOptions:\n(\u00ac(C \u2227 1)) \u2228 (\u00ac(0 \u2227 C))\n(\u00ac(0 \u2227 C)) \u2228 ((\u00acC) \u2228 (\u00ac1))\n(\u00ac(0 \u2227 C)) \u2228 (\u00acC)\n(\u00ac(0 \u2227 C)) \u2228 (\u00ac(1 \u2227 C))\n((\u00ac0) \u2228 (\u00acC)) \u2228 (\u00ac(C \u2227 1))\n(\u00ac0) \u2228 (\u00ac(C \u2227 1))\n(\u00ac(C \u2227 0)) \u2228 (\u00ac(C \u2227 1))\nChosen: (\u00ac(C \u2227 0)) \u2228 (\u00ac(C \u2227 1))\n\nOptions:\n(\u00ac(C \u2227 1)) \u2228 (\u00ac(C \u2227 0))\n(\u00ac(C \u2227 0)) \u2228 ((\u00acC) \u2228 (\u00ac1))\n(\u00ac(C \u2227 0)) \u2228 (\u00acC)\n(\u00ac(C \u2227 0)) \u2228 (\u00ac(1 \u2227 C))\n((\u00acC) \u2228 (\u00ac0)) \u2228 (\u00ac(C \u2227 1))\n(\u00ac0) \u2228 (\u00ac(C \u2227 1))\nChosen: (\u00ac(C \u2227 0)) \u2228 (\u00ac(1 \u2227 C))\n\nOptions:\n(\u00ac(1 \u2227 C)) \u2228 (\u00ac(C \u2227 0))\n(\u00ac(C \u2227 0)) \u2228 ((\u00ac1) \u2228 (\u00acC))\n(\u00ac(C \u2227 0)) \u2228 (\u00acC)\n((\u00acC) \u2228 (\u00ac0)) \u2228 (\u00ac(1 \u2227 C))\n(\u00ac0) \u2228 (\u00ac(1 \u2227 C))\n(\u00ac(0 \u2227 C)) \u2228 (\u00ac(1 \u2227 C))\nChosen: (\u00ac0) \u2228 (\u00ac(1 \u2227 C))\n\nOptions:\n(\u00ac(1 \u2227 C)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 ((\u00ac1) \u2228 (\u00acC))\n(\u00ac0) \u2228 (\u00acC)\n(\u00ac0) \u2228 (\u00ac(C \u2227 1))\n1 \u2228 (\u00ac(1 \u2227 C))\nChosen: 1 \u2228 (\u00ac(1 \u2227 C))\n\nOptions:\n1\n(\u00ac(1 \u2227 C)) \u2228 1\n1 \u2228 ((\u00ac1) \u2228 (\u00acC))\n1 \u2228 (\u00acC)\n1 \u2228 (\u00ac(C \u2227 1))\nChosen: 1 \u2228 (\u00acC)", "id": 1619}, {"char_len": 70, "tokens": [18902, 25, 97265, 7, 83193, 7, 83193, 15, 4489, 3883, 512, 83193, 15, 198, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00ac0))\n\nOptions:\n\u00ac0\n\u00ac(\u00ac1)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1620}, {"char_len": 2325, "tokens": [18902, 25, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 6054, 6774, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 38, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 480, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 15, 12264, 101, 480, 8, 75078, 480, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 16, 12264, 101, 480, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 38, 75078, 320, 38, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 220, 15, 8, 75078, 320, 38, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 320, 38, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 480, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 480, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 38, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 7, 16, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 480, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 595, 75078, 52200, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 480, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 38, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 38, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 7, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 696, 3883, 512, 1209, 15, 12264, 101, 480, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 595, 75078, 52200, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 480, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 38, 75078, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 38, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 7, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 320, 83193, 15, 595, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 480, 8, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 696, 3883, 512, 7, 15, 12264, 101, 480, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 480, 198, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 480, 198, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 38, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 340, 7, 16, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 480, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 340, 1209, 16, 12264, 101, 320, 83193, 15, 595, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 340, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 480, 8], "tokenizer": "cl100k_base", "tokens_len": 1672, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1))\n\nOptions:\n((0 \u2228 G) \u2227 (G \u2228 1)) \u2228 ((\u00ac0) \u2228 (1 \u2227 1))\n(\u00ac0) \u2228 ((1 \u2227 1) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1)))\n(((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 G)) \u2227 (((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (G \u2228 1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((G \u2228 1) \u2227 (0 \u2228 G))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (((0 \u2228 G) \u2227 G) \u2228 ((0 \u2228 G) \u2227 1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 1)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 (1 \u2228 G))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (G \u2227 (G \u2228 1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((G \u2228 0) \u2227 (G \u2228 1))\n((1 \u2227 1) \u2228 (\u00ac0)) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1))\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1))\n((\u00ac0) \u2228 1) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1))\n(1 \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 (G \u2228 1))\nChosen: ((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 1)\n\nOptions:\n((0 \u2228 G) \u2227 1) \u2228 ((\u00ac0) \u2228 (1 \u2227 1))\n(\u00ac0) \u2228 ((1 \u2227 1) \u2228 ((0 \u2228 G) \u2227 1))\n(((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 G)) \u2227 (((\u00ac0) \u2228 (1 \u2227 1)) \u2228 1)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (0 \u2228 G)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (1 \u2227 (0 \u2228 G))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 (G \u2227 1)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2228 ((G \u2228 0) \u2227 1)\n((1 \u2227 1) \u2228 (\u00ac0)) \u2228 ((0 \u2228 G) \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n((\u00ac0) \u2228 1) \u2228 ((0 \u2228 G) \u2227 1)\n(1 \u2228 (1 \u2227 1)) \u2228 ((0 \u2228 G) \u2227 1)\nChosen: (((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n\nOptions:\n((0 \u2228 G) \u2227 1) \u2228 (((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1))\n((((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 (0 \u2228 G)) \u2227 ((((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 1)\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 (0 \u2228 G)\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 (1 \u2227 (0 \u2228 G))\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 (G \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((G \u2228 0) \u2227 1)\n((((\u00ac0) \u2228 1) \u2227 (\u00ac0)) \u2228 (((\u00ac0) \u2228 1) \u2227 1)) \u2228 ((0 \u2228 G) \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 ((0 \u2228 G) \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 (1 \u2228 (\u00ac0))) \u2228 ((0 \u2228 G) \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 (1 \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n(1 \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n((1 \u2228 (\u00ac0)) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n((1 \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\nChosen: (((\u00ac0) \u2228 1) \u2227 1) \u2228 ((0 \u2228 G) \u2227 1)\n\nOptions:\n((0 \u2228 G) \u2227 1) \u2228 (((\u00ac0) \u2228 1) \u2227 1)\n((((\u00ac0) \u2228 1) \u2227 1) \u2228 (0 \u2228 G)) \u2227 ((((\u00ac0) \u2228 1) \u2227 1) \u2228 1)\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 (0 \u2228 G)\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 (1 \u2227 (0 \u2228 G))\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 (G \u2227 1)\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 ((G \u2228 0) \u2227 1)\n((\u00ac0) \u2228 1) \u2228 ((0 \u2228 G) \u2227 1)\n(1 \u2227 ((\u00ac0) \u2228 1)) \u2228 ((0 \u2228 G) \u2227 1)\n(1 \u2227 1) \u2228 ((0 \u2228 G) \u2227 1)\n((1 \u2228 (\u00ac0)) \u2227 1) \u2228 ((0 \u2228 G) \u2227 1)\n((1 \u2228 1) \u2227 1) \u2228 ((0 \u2228 G) \u2227 1)\nChosen: (((\u00ac0) \u2228 1) \u2227 1) \u2228 (0 \u2228 G)\n\nOptions:\n(0 \u2228 G) \u2228 (((\u00ac0) \u2228 1) \u2227 1)\n((((\u00ac0) \u2228 1) \u2227 1) \u2228 0) \u2228 G\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 G\n(((\u00ac0) \u2228 1) \u2227 1) \u2228 (G \u2228 0)\n((\u00ac0) \u2228 1) \u2228 (0 \u2228 G)\n(1 \u2227 ((\u00ac0) \u2228 1)) \u2228 (0 \u2228 G)\n(1 \u2227 1) \u2228 (0 \u2228 G)\n((1 \u2228 (\u00ac0)) \u2227 1) \u2228 (0 \u2228 G)\n((1 \u2228 1) \u2227 1) \u2228 (0 \u2228 G)\nChosen: ((1 \u2228 1) \u2227 1) \u2228 (0 \u2228 G)", "id": 1621}, {"char_len": 1261, "tokens": [18902, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 46, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 320, 15, 75078, 320, 83193, 46, 7861, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 15, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 46, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 46, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 46, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 46, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 19789, 3883, 512, 1209, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 83193, 46, 340, 7, 83193, 46, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 46, 8, 75078, 320, 16, 75078, 320, 15, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 23631, 7, 83193, 46, 8, 75078, 11861, 16, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 16, 6054, 7, 83193, 46, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 46, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 46, 8, 75078, 320, 15, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 6054, 7, 83193, 46, 8, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 6054, 1163, 8477, 25, 320, 83193, 46, 8, 75078, 320, 15, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 19789, 3883, 512, 7, 15, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 83193, 46, 340, 1209, 83193, 46, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 46, 8, 75078, 220, 15, 198, 7, 83193, 46, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 340, 7, 83193, 46, 8, 75078, 1819, 15, 75078, 320, 83193, 16, 595, 12264, 101, 320, 15, 75078, 320, 83193, 16, 6054, 7, 83193, 46, 8, 75078, 320, 15, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 7, 83193, 46, 8, 75078, 320, 15, 75078, 320, 15, 12264, 101, 320, 83193, 16, 6054, 1163, 8477, 25, 320, 83193, 46, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 46, 340, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 807, "data_type": "boolean", "txt": "Original: ((1 \u2227 0) \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac1)) \u2227 ((1 \u2227 0) \u2227 (\u00acO))\n(1 \u2227 0) \u2227 ((\u00acO) \u2227 ((\u00ac1) \u2228 (\u00ac1)))\n(((1 \u2227 0) \u2227 (\u00acO)) \u2227 (\u00ac1)) \u2228 (((1 \u2227 0) \u2227 (\u00acO)) \u2227 (\u00ac1))\n((1 \u2227 0) \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 0)\n((1 \u2227 0) \u2227 (\u00acO)) \u2227 (0 \u2228 (\u00ac1))\n((\u00acO) \u2227 (1 \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n(1 \u2227 (0 \u2227 (\u00acO))) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n(0 \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n((0 \u2227 1) \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\nChosen: ((\u00acO) \u2227 (1 \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac1)) \u2227 ((\u00acO) \u2227 (1 \u2227 0))\n(\u00acO) \u2227 ((1 \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1)))\n(((\u00acO) \u2227 (1 \u2227 0)) \u2227 (\u00ac1)) \u2228 (((\u00acO) \u2227 (1 \u2227 0)) \u2227 (\u00ac1))\n((\u00acO) \u2227 (1 \u2227 0)) \u2227 ((\u00ac1) \u2228 0)\n((\u00acO) \u2227 (1 \u2227 0)) \u2227 (0 \u2228 (\u00ac1))\n(((\u00acO) \u2227 1) \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n((\u00acO) \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n((\u00acO) \u2227 (0 \u2227 1)) \u2227 ((\u00ac1) \u2228 (\u00ac1))\nChosen: (\u00acO) \u2227 ((1 \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1)))\n\nOptions:\n((1 \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1))) \u2227 (\u00acO)\n(\u00acO) \u2227 (((\u00ac1) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(\u00acO) \u2227 (1 \u2227 (0 \u2227 ((\u00ac1) \u2228 (\u00ac1))))\n(\u00acO) \u2227 (((1 \u2227 0) \u2227 (\u00ac1)) \u2228 ((1 \u2227 0) \u2227 (\u00ac1)))\n(\u00acO) \u2227 ((1 \u2227 0) \u2227 ((\u00ac1) \u2228 0))\n(\u00acO) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 (\u00ac1)))\n(\u00acO) \u2227 (0 \u2227 ((\u00ac1) \u2228 (\u00ac1)))\n(\u00acO) \u2227 ((0 \u2227 1) \u2227 ((\u00ac1) \u2228 (\u00ac1)))\nChosen: (\u00acO) \u2227 (0 \u2227 ((\u00ac1) \u2228 (\u00ac1)))\n\nOptions:\n(0 \u2227 ((\u00ac1) \u2228 (\u00ac1))) \u2227 (\u00acO)\n((\u00acO) \u2227 0) \u2227 ((\u00ac1) \u2228 (\u00ac1))\n(\u00acO) \u2227 0\n(\u00acO) \u2227 (((\u00ac1) \u2228 (\u00ac1)) \u2227 0)\n(\u00acO) \u2227 ((0 \u2227 (\u00ac1)) \u2228 (0 \u2227 (\u00ac1)))\n(\u00acO) \u2227 (0 \u2227 ((\u00ac1) \u2228 0))\n(\u00acO) \u2227 (0 \u2227 (0 \u2228 (\u00ac1)))\nChosen: (\u00acO) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00acO)\nChosen: 0", "id": 1622}, {"char_len": 1353, "tokens": [18902, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 16, 6054, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 47, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 11861, 83193, 47, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 47, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 47, 340, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 320, 83193, 47, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 47, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 83193, 47, 1192, 16, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 4489, 3883, 512, 7, 16, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 220, 16, 198, 7, 83193, 15, 8, 12264, 101, 11861, 83193, 47, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 75078, 320, 83193, 47, 6054, 16, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 47, 8, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 320, 83193, 47, 595, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 7861, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 320, 83193, 47, 6054, 7, 83193, 15, 8, 12264, 101, 11861, 16, 12264, 101, 320, 83193, 47, 595, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 11861, 83193, 47, 8, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 16, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 47, 595, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 959, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 (0 \u2228 1))\n\nOptions:\n((\u00acP) \u2227 (0 \u2228 1)) \u2228 ((\u00ac0) \u2228 (\u00ac0))\n(\u00ac0) \u2228 ((\u00ac0) \u2228 ((\u00acP) \u2227 (0 \u2228 1)))\n(((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00acP)) \u2227 (((\u00ac0) \u2228 (\u00ac0)) \u2228 (0 \u2228 1))\n((\u00ac0) \u2228 (\u00ac0)) \u2228 ((0 \u2228 1) \u2227 (\u00acP))\n((\u00ac0) \u2228 (\u00ac0)) \u2228 (((\u00acP) \u2227 0) \u2228 ((\u00acP) \u2227 1))\n((\u00ac0) \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 1)\n((\u00ac0) \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 (1 \u2228 0))\n((\u00ac0) \u2228 1) \u2228 ((\u00acP) \u2227 (0 \u2228 1))\n(1 \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 (0 \u2228 1))\nChosen: ((\u00ac0) \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 1)\n\nOptions:\n((\u00acP) \u2227 1) \u2228 ((\u00ac0) \u2228 (\u00ac0))\n(\u00ac0) \u2228 ((\u00ac0) \u2228 ((\u00acP) \u2227 1))\n(((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00acP)) \u2227 (((\u00ac0) \u2228 (\u00ac0)) \u2228 1)\n((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00acP)\n((\u00ac0) \u2228 (\u00ac0)) \u2228 (1 \u2227 (\u00acP))\n((\u00ac0) \u2228 1) \u2228 ((\u00acP) \u2227 1)\n(1 \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 1)\nChosen: ((\u00ac0) \u2228 1) \u2228 ((\u00acP) \u2227 1)\n\nOptions:\n((\u00acP) \u2227 1) \u2228 ((\u00ac0) \u2228 1)\n(\u00ac0) \u2228 (1 \u2228 ((\u00acP) \u2227 1))\n(((\u00ac0) \u2228 1) \u2228 (\u00acP)) \u2227 (((\u00ac0) \u2228 1) \u2228 1)\n((\u00ac0) \u2228 1) \u2228 (\u00acP)\n((\u00ac0) \u2228 1) \u2228 (1 \u2227 (\u00acP))\n1 \u2228 ((\u00acP) \u2227 1)\n(1 \u2228 (\u00ac0)) \u2228 ((\u00acP) \u2227 1)\n(1 \u2228 1) \u2228 ((\u00acP) \u2227 1)\nChosen: (\u00ac0) \u2228 (1 \u2228 ((\u00acP) \u2227 1))\n\nOptions:\n(1 \u2228 ((\u00acP) \u2227 1)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 1\n(\u00ac0) \u2228 (((\u00acP) \u2227 1) \u2228 1)\n(\u00ac0) \u2228 ((1 \u2228 (\u00acP)) \u2227 (1 \u2228 1))\n(\u00ac0) \u2228 (1 \u2228 (\u00acP))\n(\u00ac0) \u2228 (1 \u2228 (1 \u2227 (\u00acP)))\n1 \u2228 (1 \u2228 ((\u00acP) \u2227 1))\nChosen: (\u00ac0) \u2228 ((1 \u2228 (\u00acP)) \u2227 (1 \u2228 1))\n\nOptions:\n((1 \u2228 (\u00acP)) \u2227 (1 \u2228 1)) \u2228 (\u00ac0)\n((\u00ac0) \u2228 (1 \u2228 (\u00acP))) \u2227 ((\u00ac0) \u2228 (1 \u2228 1))\n(\u00ac0) \u2228 ((1 \u2228 1) \u2227 (1 \u2228 (\u00acP)))\n(\u00ac0) \u2228 (((1 \u2228 (\u00acP)) \u2227 1) \u2228 ((1 \u2228 (\u00acP)) \u2227 1))\n(\u00ac0) \u2228 ((1 \u2228 (\u00acP)) \u2227 1)\n(\u00ac0) \u2228 (1 \u2227 (1 \u2228 1))\n(\u00ac0) \u2228 (((\u00acP) \u2228 1) \u2227 (1 \u2228 1))\n1 \u2228 ((1 \u2228 (\u00acP)) \u2227 (1 \u2228 1))\nChosen: (\u00ac0) \u2228 ((1 \u2228 (\u00acP)) \u2227 1)", "id": 1623}, {"char_len": 2058, "tokens": [18902, 25, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 42, 12264, 101, 735, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 735, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 7, 42, 12264, 101, 735, 6054, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 7, 42, 12264, 101, 735, 1192, 1209, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 42, 12264, 101, 735, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 42, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 83193, 42, 6054, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 83193, 42, 1192, 1163, 8477, 25, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 67944, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 52200, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 6054, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 11861, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 6054, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 6054, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 1192, 6774, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 11861, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 6054, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 6054, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 6774, 83193, 42, 8, 12264, 101, 320, 83193, 42, 595, 12264, 101, 220, 15, 8, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 42, 595, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 42, 7861, 75078, 11861, 83193, 42, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 11861, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 11861, 83193, 42, 8, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 42, 595], "tokenizer": "cl100k_base", "tokens_len": 1399, "data_type": "boolean", "txt": "Original: ((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00ac(K \u2228 K))\n\nOptions:\n(\u00ac(K \u2228 K)) \u2228 ((\u00acK) \u2228 (\u00ac1))\n(\u00acK) \u2228 ((\u00ac1) \u2228 (\u00ac(K \u2228 K)))\n((\u00acK) \u2228 (\u00ac1)) \u2228 ((\u00acK) \u2227 (\u00acK))\n((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)\n((\u00ac1) \u2228 (\u00acK)) \u2228 (\u00ac(K \u2228 K))\n((\u00acK) \u2228 0) \u2228 (\u00ac(K \u2228 K))\nChosen: ((\u00acK) \u2228 (\u00ac1)) \u2228 ((\u00acK) \u2227 (\u00acK))\n\nOptions:\n((\u00acK) \u2227 (\u00acK)) \u2228 ((\u00acK) \u2228 (\u00ac1))\n(\u00acK) \u2228 ((\u00ac1) \u2228 ((\u00acK) \u2227 (\u00acK)))\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00ac1) \u2228 (\u00acK)) \u2228 ((\u00acK) \u2227 (\u00acK))\n((\u00acK) \u2228 0) \u2228 ((\u00acK) \u2227 (\u00acK))\nChosen: (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n\nOptions:\n((((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2228 (\u00ac1))) \u2228 ((((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 (\u00acK))\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1)))\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2228 ((\u00ac1) \u2228 (\u00acK)))\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 (((\u00ac1) \u2228 (\u00acK)) \u2228 (\u00acK))\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 0) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00ac1) \u2228 (\u00acK))) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n(((\u00ac1) \u2228 (\u00acK)) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n(((\u00acK) \u2228 0) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\nChosen: ((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n\nOptions:\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1)))\n(((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 ((\u00acK) \u2228 (\u00ac1))) \u2228 (((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 ((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1)))\n((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 ((\u00acK) \u2228 ((\u00ac1) \u2228 (\u00acK)))\n((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 (((\u00ac1) \u2228 (\u00acK)) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1))) \u2227 (((\u00acK) \u2228 0) \u2228 (\u00acK))\n(((\u00acK) \u2228 (\u00acK)) \u2228 (\u00ac1)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00ac1) \u2228 (\u00acK))) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\nChosen: ((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n\nOptions:\n(((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK)) \u2227 ((\u00acK) \u2228 ((\u00acK) \u2228 0))\n(((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 ((\u00acK) \u2228 (\u00ac1))) \u2228 (((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 ((\u00acK) \u2228 ((\u00acK) \u2228 (\u00ac1)))\n((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 ((\u00acK) \u2228 ((\u00ac1) \u2228 (\u00acK)))\n((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (((\u00ac1) \u2228 (\u00acK)) \u2228 (\u00acK))\n((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (((\u00acK) \u2228 0) \u2228 (\u00acK))\n(((\u00acK) \u2228 0) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n(((\u00acK) \u2228 (\u00acK)) \u2228 0) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00acK) \u2228 (\u00acK)) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\n((\u00acK) \u2228 (0 \u2228 (\u00acK))) \u2227 (((\u00acK) \u2228 (\u00ac1)) \u2228 (\u00acK))\nChosen: (((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 ((\u00acK) \u2228 (\u00ac1))) \u2228 (((\u00acK) \u2228 ((\u00acK) \u2228 0)) \u2227 (\u00acK))", "id": 1624}, {"char_len": 1131, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 393, 1192, 1209, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 47, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 75078, 393, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 393, 340, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 393, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 16, 75078, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 7, 47, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 47, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 16, 75078, 320, 47, 12264, 101, 220, 15, 4489, 3883, 512, 7, 16, 75078, 320, 47, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 393, 1192, 1209, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 47, 12264, 101, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 47, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 1819, 16, 75078, 393, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 16, 75078, 320, 15, 12264, 101, 393, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 75078, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 16, 75078, 320, 47, 12264, 101, 220, 15, 1192, 7, 83193, 7, 47, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 47, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 16, 75078, 393, 696, 3883, 512, 7, 16, 75078, 393, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 393, 1192, 1209, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 393, 340, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 393, 198, 7, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 320, 47, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 16, 8, 12264, 101, 320, 16, 75078, 393, 340, 7, 83193, 7, 47, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 393, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 393, 595, 12264, 101, 393, 271, 3883, 512, 47, 12264, 101, 320, 83193, 7, 16, 12264, 101, 393, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 47, 595, 12264, 101, 393, 198, 7, 83193, 16, 8, 12264, 101, 393, 198, 7, 83193, 7, 47, 12264, 101, 220, 16, 595, 12264, 101, 393, 198, 1163, 8477, 25, 393, 12264, 101, 320, 83193, 7, 16, 12264, 101, 393, 4489, 3883, 512, 47, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 47, 1192, 47, 12264, 101, 320, 83193, 16, 340, 47, 12264, 101, 320, 83193, 7, 47, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 393, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 47, 595], "tokenizer": "cl100k_base", "tokens_len": 794, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 P)) \u2228 ((0 \u2228 1) \u2227 (P \u2228 0))\n\nOptions:\n((0 \u2228 1) \u2227 (P \u2228 0)) \u2228 (\u00ac(1 \u2228 P))\n((\u00ac(1 \u2228 P)) \u2228 (0 \u2228 1)) \u2227 ((\u00ac(1 \u2228 P)) \u2228 (P \u2228 0))\n(\u00ac(1 \u2228 P)) \u2228 ((P \u2228 0) \u2227 (0 \u2228 1))\n(\u00ac(1 \u2228 P)) \u2228 (((0 \u2228 1) \u2227 P) \u2228 ((0 \u2228 1) \u2227 0))\n(\u00ac(1 \u2228 P)) \u2228 ((0 \u2228 1) \u2227 P)\n(\u00ac(1 \u2228 P)) \u2228 ((0 \u2228 1) \u2227 (0 \u2228 P))\n(\u00ac(1 \u2228 P)) \u2228 (1 \u2227 (P \u2228 0))\n(\u00ac(1 \u2228 P)) \u2228 ((1 \u2228 0) \u2227 (P \u2228 0))\n((\u00ac1) \u2227 (\u00acP)) \u2228 ((0 \u2228 1) \u2227 (P \u2228 0))\n(\u00ac1) \u2228 ((0 \u2228 1) \u2227 (P \u2228 0))\n(\u00ac(P \u2228 1)) \u2228 ((0 \u2228 1) \u2227 (P \u2228 0))\nChosen: (\u00ac(1 \u2228 P)) \u2228 (1 \u2227 (P \u2228 0))\n\nOptions:\n(1 \u2227 (P \u2228 0)) \u2228 (\u00ac(1 \u2228 P))\n((\u00ac(1 \u2228 P)) \u2228 1) \u2227 ((\u00ac(1 \u2228 P)) \u2228 (P \u2228 0))\n(\u00ac(1 \u2228 P)) \u2228 (P \u2228 0)\n(\u00ac(1 \u2228 P)) \u2228 ((P \u2228 0) \u2227 1)\n(\u00ac(1 \u2228 P)) \u2228 ((1 \u2227 P) \u2228 (1 \u2227 0))\n(\u00ac(1 \u2228 P)) \u2228 (1 \u2227 P)\n(\u00ac(1 \u2228 P)) \u2228 (1 \u2227 (0 \u2228 P))\n((\u00ac1) \u2227 (\u00acP)) \u2228 (1 \u2227 (P \u2228 0))\n(\u00ac1) \u2228 (1 \u2227 (P \u2228 0))\n(\u00ac(P \u2228 1)) \u2228 (1 \u2227 (P \u2228 0))\nChosen: (\u00ac(1 \u2228 P)) \u2228 (1 \u2227 P)\n\nOptions:\n(1 \u2227 P) \u2228 (\u00ac(1 \u2228 P))\n((\u00ac(1 \u2228 P)) \u2228 1) \u2227 ((\u00ac(1 \u2228 P)) \u2228 P)\n(\u00ac(1 \u2228 P)) \u2228 P\n(\u00ac(1 \u2228 P)) \u2228 (P \u2227 1)\n((\u00ac1) \u2227 (\u00acP)) \u2228 (1 \u2227 P)\n(\u00ac1) \u2228 (1 \u2227 P)\n(\u00ac(P \u2228 1)) \u2228 (1 \u2227 P)\nChosen: (\u00ac(1 \u2228 P)) \u2228 P\n\nOptions:\nP \u2228 (\u00ac(1 \u2228 P))\n((\u00ac1) \u2227 (\u00acP)) \u2228 P\n(\u00ac1) \u2228 P\n(\u00ac(P \u2228 1)) \u2228 P\nChosen: P \u2228 (\u00ac(1 \u2228 P))\n\nOptions:\nP \u2228 ((\u00ac1) \u2227 (\u00acP))\nP \u2228 (\u00ac1)\nP \u2228 (\u00ac(P \u2228 1))\nChosen: P \u2228 ((\u00ac1) \u2227 (\u00acP))", "id": 1625}, {"char_len": 42, "tokens": [18902, 25, 97265, 7, 83193, 7, 83193, 52, 4489, 3883, 512, 83193, 52, 198, 1163, 8477, 25, 97265, 52], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(\u00acU))\n\nOptions:\n\u00acU\nChosen: \u00acU", "id": 1626}, {"char_len": 300, "tokens": [18902, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 53, 1192, 83193, 1209, 83193, 53, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 15, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 83193, 53, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 53, 1192, 83193, 15, 198, 83193, 1209, 83193, 53, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 53, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 650, 198, 16, 12264, 101, 320, 83193, 7, 83193, 53, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 83193, 53, 4489, 3883, 512, 16, 198, 7, 83193, 7, 83193, 53, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 650, 198, 1163, 8477, 25, 220, 16, 12264, 101, 650, 271, 3883, 512, 16, 198, 53, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 186, "data_type": "boolean", "txt": "Original: \u00ac((\u00ac1) \u2227 (\u00acV))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acV))\n\u00ac((\u00acV) \u2227 (\u00ac1))\n\u00ac(0 \u2227 (\u00acV))\nChosen: \u00ac(0 \u2227 (\u00acV))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(\u00acV))\n\u00ac0\n\u00ac((\u00acV) \u2227 0)\nChosen: (\u00ac0) \u2228 (\u00ac(\u00acV))\n\nOptions:\n(\u00ac(\u00acV)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 V\n1 \u2228 (\u00ac(\u00acV))\nChosen: 1 \u2228 (\u00ac(\u00acV))\n\nOptions:\n1\n(\u00ac(\u00acV)) \u2228 1\n1 \u2228 V\nChosen: 1 \u2228 V\n\nOptions:\n1\nV \u2228 1\nChosen: 1", "id": 1627}, {"char_len": 112, "tokens": [18902, 25, 97265, 7, 83193, 7, 56, 75078, 220, 16, 4489, 3883, 512, 56, 75078, 220, 16, 198, 83193, 1209, 83193, 56, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 7, 83193, 56, 340, 83193, 7, 83193, 7, 16, 75078, 816, 1192, 1163, 8477, 25, 816, 75078, 220, 16, 271, 3883, 512, 56, 198, 16, 75078, 816, 198, 1163, 8477, 25, 816], "tokenizer": "cl100k_base", "tokens_len": 62, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(Y \u2227 1))\n\nOptions:\nY \u2227 1\n\u00ac((\u00acY) \u2228 (\u00ac1))\n\u00ac(\u00acY)\n\u00ac(\u00ac(1 \u2227 Y))\nChosen: Y \u2227 1\n\nOptions:\nY\n1 \u2227 Y\nChosen: Y", "id": 1628}, {"char_len": 2094, "tokens": [18902, 25, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 6774, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 320, 43, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 1209, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 43, 75078, 220, 15, 1192, 1209, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 320, 43, 75078, 320, 15, 75078, 320, 83193, 16, 6054, 1209, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 15, 75078, 445, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 445, 8, 12264, 101, 320, 52, 75078, 445, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 6774, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 445, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 52, 75078, 445, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 43, 75078, 549, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 4489, 3883, 512, 5063, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 6054, 6774, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 52, 75078, 445, 595, 12264, 101, 11861, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 75078, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 445, 8, 12264, 101, 320, 52, 75078, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 11861, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 549, 8, 12264, 101, 320, 15, 75078, 445, 1192, 1209, 83193, 16, 8, 75078, 320, 43, 75078, 220, 15, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 5063, 75078, 320, 15, 75078, 320, 83193, 16, 7861, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 7, 15, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 1209, 15, 75078, 445, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 320, 15, 75078, 445, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 5063, 75078, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 1192, 6774, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 52, 75078, 445, 595, 12264, 101, 11861, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 220, 15, 340, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 52, 75078, 445, 340, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 15, 12264, 101, 320, 52, 75078, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 549, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 75078, 320, 43, 75078, 220, 15, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 5063, 75078, 320, 15, 75078, 320, 83193, 16, 7861, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1209, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1209, 15, 75078, 445, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 43, 75078, 220, 15, 8, 75078, 220, 15, 340, 5063, 75078, 220, 15, 8, 75078, 320, 15, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 1192, 6774, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 320, 52, 75078, 445, 595, 12264, 101, 11861, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 320, 52, 75078, 445, 340, 1209, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 52, 75078, 445, 1192, 1209, 43, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 43, 75078, 549, 8, 12264, 101, 220, 15, 340, 15, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 320, 43, 75078, 220, 15, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 5063, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 7, 15, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1209, 15, 75078, 445, 8, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 15, 75078, 220, 15, 8, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 52, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 340, 15, 75078, 320, 15, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 52, 75078, 445, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 7, 15, 75078, 220, 15, 8, 75078, 320, 52, 75078, 445, 340, 7, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 52, 75078, 445, 1192, 7, 15, 75078, 220, 15, 8, 75078, 1819, 43, 75078, 549, 8, 12264, 101, 220, 15, 340, 15, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 220, 15, 75078, 1819, 52, 75078, 445, 8, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1303, "data_type": "boolean", "txt": "Original: ((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n\nOptions:\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n(((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 (L \u2227 0)) \u2227 (\u00ac1)\n((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 ((\u00ac1) \u2227 (L \u2227 0))\n((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 (L \u2227 (0 \u2227 (\u00ac1)))\n((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 ((L \u2227 0) \u2227 0)\n((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 (0 \u2227 (\u00ac1))\n((U \u2227 L) \u2228 (0 \u2227 L)) \u2227 ((0 \u2227 L) \u2227 (\u00ac1))\n((0 \u2227 L) \u2228 (U \u2227 L)) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n(((U \u2227 L) \u2228 0) \u2227 ((U \u2227 L) \u2228 L)) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n((U \u2227 L) \u2228 0) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n((U \u2227 L) \u2228 (L \u2227 0)) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n((L \u2227 U) \u2228 (0 \u2227 L)) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\nChosen: ((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n\nOptions:\n(L \u2227 0) \u2227 ((\u00ac1) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L)))\n(((L \u2227 0) \u2227 (\u00ac1)) \u2227 (U \u2227 L)) \u2228 (((L \u2227 0) \u2227 (\u00ac1)) \u2227 (0 \u2227 L))\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((0 \u2227 L) \u2228 (U \u2227 L))\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 (((U \u2227 L) \u2228 0) \u2227 ((U \u2227 L) \u2228 L))\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 0)\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 (L \u2227 0))\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((L \u2227 U) \u2228 (0 \u2227 L))\n((\u00ac1) \u2227 (L \u2227 0)) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n(L \u2227 (0 \u2227 (\u00ac1))) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n((L \u2227 0) \u2227 0) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n(0 \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\n((0 \u2227 L) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 (0 \u2227 L))\nChosen: ((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 0)\n\nOptions:\n((U \u2227 L) \u2228 0) \u2227 ((L \u2227 0) \u2227 (\u00ac1))\n(L \u2227 0) \u2227 ((\u00ac1) \u2227 ((U \u2227 L) \u2228 0))\n(((L \u2227 0) \u2227 (\u00ac1)) \u2227 (U \u2227 L)) \u2228 (((L \u2227 0) \u2227 (\u00ac1)) \u2227 0)\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 (U \u2227 L)\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 (0 \u2228 (U \u2227 L))\n((L \u2227 0) \u2227 (\u00ac1)) \u2227 ((L \u2227 U) \u2228 0)\n((\u00ac1) \u2227 (L \u2227 0)) \u2227 ((U \u2227 L) \u2228 0)\n(L \u2227 (0 \u2227 (\u00ac1))) \u2227 ((U \u2227 L) \u2228 0)\n((L \u2227 0) \u2227 0) \u2227 ((U \u2227 L) \u2228 0)\n(0 \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 0)\n((0 \u2227 L) \u2227 (\u00ac1)) \u2227 ((U \u2227 L) \u2228 0)\nChosen: ((L \u2227 0) \u2227 0) \u2227 ((U \u2227 L) \u2228 0)\n\nOptions:\n((U \u2227 L) \u2228 0) \u2227 ((L \u2227 0) \u2227 0)\n(L \u2227 0) \u2227 (0 \u2227 ((U \u2227 L) \u2228 0))\n(((L \u2227 0) \u2227 0) \u2227 (U \u2227 L)) \u2228 (((L \u2227 0) \u2227 0) \u2227 0)\n((L \u2227 0) \u2227 0) \u2227 (U \u2227 L)\n((L \u2227 0) \u2227 0) \u2227 (0 \u2228 (U \u2227 L))\n((L \u2227 0) \u2227 0) \u2227 ((L \u2227 U) \u2228 0)\n0 \u2227 ((U \u2227 L) \u2228 0)\n(0 \u2227 (L \u2227 0)) \u2227 ((U \u2227 L) \u2228 0)\n(L \u2227 (0 \u2227 0)) \u2227 ((U \u2227 L) \u2228 0)\n(0 \u2227 0) \u2227 ((U \u2227 L) \u2228 0)\n((0 \u2227 L) \u2227 0) \u2227 ((U \u2227 L) \u2228 0)\nChosen: (0 \u2227 0) \u2227 ((U \u2227 L) \u2228 0)\n\nOptions:\n((U \u2227 L) \u2228 0) \u2227 (0 \u2227 0)\n0 \u2227 (0 \u2227 ((U \u2227 L) \u2228 0))\n((0 \u2227 0) \u2227 (U \u2227 L)) \u2228 ((0 \u2227 0) \u2227 0)\n(0 \u2227 0) \u2227 (U \u2227 L)\n(0 \u2227 0) \u2227 (0 \u2228 (U \u2227 L))\n(0 \u2227 0) \u2227 ((L \u2227 U) \u2228 0)\n0 \u2227 ((U \u2227 L) \u2228 0)\nChosen: 0 \u2227 ((U \u2227 L) \u2228 0)", "id": 1629}, {"char_len": 1911, "tokens": [18902, 25, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 16, 75078, 549, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 549, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 52, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 549, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 12597, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 549, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 52, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 52, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 12597, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 549, 340, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 52, 12264, 101, 220, 15, 340, 16, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 52, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 52200, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 12597, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 320, 83193, 15, 595, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 549, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 696, 3883, 512, 67944, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 52200, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 549, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 52, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 549, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 320, 83193, 15, 595, 75078, 549, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 549, 340, 1209, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 1209, 16, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 549, 8], "tokenizer": "cl100k_base", "tokens_len": 1303, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 U) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2227 U) \u2228 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (1 \u2227 1))\n(((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (1 \u2227 U)) \u2228 (((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (\u00ac1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2228 (1 \u2227 U))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 U) \u2228 0)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (U \u2228 (\u00ac1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 ((U \u2227 1) \u2228 (\u00ac1))\n((1 \u2227 1) \u2228 (\u00ac0)) \u2227 ((1 \u2227 U) \u2228 (\u00ac1))\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2227 ((1 \u2227 U) \u2228 (\u00ac1))\n((\u00ac0) \u2228 1) \u2227 ((1 \u2227 U) \u2228 (\u00ac1))\n(1 \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 U) \u2228 (\u00ac1))\nChosen: ((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (U \u2228 (\u00ac1))\n\nOptions:\n(U \u2228 (\u00ac1)) \u2227 ((\u00ac0) \u2228 (1 \u2227 1))\n(((\u00ac0) \u2228 (1 \u2227 1)) \u2227 U) \u2228 (((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (\u00ac1))\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 ((\u00ac1) \u2228 U)\n((\u00ac0) \u2228 (1 \u2227 1)) \u2227 (U \u2228 0)\n((1 \u2227 1) \u2228 (\u00ac0)) \u2227 (U \u2228 (\u00ac1))\n(((\u00ac0) \u2228 1) \u2227 ((\u00ac0) \u2228 1)) \u2227 (U \u2228 (\u00ac1))\n((\u00ac0) \u2228 1) \u2227 (U \u2228 (\u00ac1))\n(1 \u2228 (1 \u2227 1)) \u2227 (U \u2228 (\u00ac1))\nChosen: ((\u00ac0) \u2228 1) \u2227 (U \u2228 (\u00ac1))\n\nOptions:\n(U \u2228 (\u00ac1)) \u2227 ((\u00ac0) \u2228 1)\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\n((\u00ac0) \u2228 1) \u2227 ((\u00ac1) \u2228 U)\n((\u00ac0) \u2228 1) \u2227 (U \u2228 0)\n1 \u2227 (U \u2228 (\u00ac1))\n(1 \u2228 (\u00ac0)) \u2227 (U \u2228 (\u00ac1))\n(1 \u2228 1) \u2227 (U \u2228 (\u00ac1))\nChosen: (((\u00ac0) \u2228 1) \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\n\nOptions:\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n((((\u00ac0) \u2228 1) \u2227 U) \u2228 ((\u00ac0) \u2228 1)) \u2227 ((((\u00ac0) \u2228 1) \u2227 U) \u2228 (\u00ac1))\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 ((\u00ac1) \u2227 ((\u00ac0) \u2228 1))\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 0)\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 (1 \u2227 (\u00ac1))\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 ((1 \u2228 (\u00ac0)) \u2227 (\u00ac1))\n(((\u00ac0) \u2228 1) \u2227 U) \u2228 ((1 \u2228 1) \u2227 (\u00ac1))\n(U \u2227 ((\u00ac0) \u2228 1)) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\n(1 \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\n((1 \u2228 (\u00ac0)) \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\n((1 \u2228 1) \u2227 U) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00ac1))\nChosen: (((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n\nOptions:\n((((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((\u00ac0) \u2228 1)) \u2227 ((((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 U)\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 (U \u2227 ((\u00ac0) \u2228 1))\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 (1 \u2227 U)\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((1 \u2228 (\u00ac0)) \u2227 U)\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((1 \u2228 1) \u2227 U)\n((\u00ac1) \u2227 ((\u00ac0) \u2228 1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n(((\u00ac0) \u2228 1) \u2227 0) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n(1 \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n((1 \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\n((1 \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)\nChosen: ((1 \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 U)", "id": 1630}, {"char_len": 730, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 198, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 271, 3883, 512, 83193, 7, 16, 12264, 101, 507, 340, 16, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 198, 7, 83193, 16, 8, 75078, 220, 16, 198, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 507, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 46, 340, 83193, 16, 198, 83193, 7, 46, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 489, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 O)) \u2227 ((1 \u2227 1) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2227 1) \u2228 (\u00ac0)) \u2227 (\u00ac(1 \u2228 O))\n((\u00ac(1 \u2228 O)) \u2227 (1 \u2227 1)) \u2228 ((\u00ac(1 \u2228 O)) \u2227 (\u00ac0))\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac0) \u2228 (1 \u2227 1))\n(\u00ac(1 \u2228 O)) \u2227 ((1 \u2227 1) \u2228 1)\n(\u00ac(1 \u2228 O)) \u2227 (1 \u2228 (\u00ac0))\n((\u00ac1) \u2227 (\u00acO)) \u2227 ((1 \u2227 1) \u2228 (\u00ac0))\n(\u00ac1) \u2227 ((1 \u2227 1) \u2228 (\u00ac0))\n(\u00ac(O \u2228 1)) \u2227 ((1 \u2227 1) \u2228 (\u00ac0))\nChosen: (\u00ac(1 \u2228 O)) \u2227 ((1 \u2227 1) \u2228 1)\n\nOptions:\n((1 \u2227 1) \u2228 1) \u2227 (\u00ac(1 \u2228 O))\n((\u00ac(1 \u2228 O)) \u2227 (1 \u2227 1)) \u2228 ((\u00ac(1 \u2228 O)) \u2227 1)\n(\u00ac(1 \u2228 O)) \u2227 1\n(\u00ac(1 \u2228 O)) \u2227 (1 \u2228 (1 \u2227 1))\n(\u00ac(1 \u2228 O)) \u2227 (1 \u2228 1)\n((\u00ac1) \u2227 (\u00acO)) \u2227 ((1 \u2227 1) \u2228 1)\n(\u00ac1) \u2227 ((1 \u2227 1) \u2228 1)\n(\u00ac(O \u2228 1)) \u2227 ((1 \u2227 1) \u2228 1)\nChosen: (\u00ac(1 \u2228 O)) \u2227 1\n\nOptions:\n\u00ac(1 \u2228 O)\n1 \u2227 (\u00ac(1 \u2228 O))\n((\u00ac1) \u2227 (\u00acO)) \u2227 1\n(\u00ac1) \u2227 1\n(\u00ac(O \u2228 1)) \u2227 1\nChosen: \u00ac(1 \u2228 O)\n\nOptions:\n(\u00ac1) \u2227 (\u00acO)\n\u00ac1\n\u00ac(O \u2228 1)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1631}, {"char_len": 507, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 507, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 16, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 15, 198, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 220, 15, 271, 3883, 512, 83193, 16, 198, 15, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 16], "tokenizer": "cl100k_base", "tokens_len": 358, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 O)) \u2228 (\u00ac(1 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2228 (\u00ac(1 \u2228 O))\n(\u00ac(1 \u2228 O)) \u2228 ((\u00ac1) \u2227 (\u00ac1))\n(\u00ac(1 \u2228 O)) \u2228 (\u00ac1)\n((\u00ac1) \u2227 (\u00acO)) \u2228 (\u00ac(1 \u2228 1))\n(\u00ac1) \u2228 (\u00ac(1 \u2228 1))\n(\u00ac(O \u2228 1)) \u2228 (\u00ac(1 \u2228 1))\nChosen: (\u00ac1) \u2228 (\u00ac(1 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((\u00ac1) \u2227 (\u00ac1))\n(\u00ac1) \u2228 (\u00ac1)\n0 \u2228 (\u00ac(1 \u2228 1))\nChosen: (\u00ac(1 \u2228 1)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2228 0\n((\u00ac1) \u2227 (\u00ac1)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 (\u00ac1)\nChosen: (\u00ac(1 \u2228 1)) \u2228 0\n\nOptions:\n\u00ac(1 \u2228 1)\n0 \u2228 (\u00ac(1 \u2228 1))\n((\u00ac1) \u2227 (\u00ac1)) \u2228 0\n(\u00ac1) \u2228 0\nChosen: (\u00ac1) \u2228 0\n\nOptions:\n\u00ac1\n0 \u2228 (\u00ac1)\n0 \u2228 0\nChosen: \u00ac1", "id": 1632}, {"char_len": 2415, "tokens": [18902, 25, 320, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 32, 12264, 101, 816, 4489, 3883, 512, 1209, 56, 12264, 101, 220, 16, 8, 75078, 320, 32, 12264, 101, 816, 595, 75078, 320, 83193, 7, 32, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 320, 56, 12264, 101, 220, 16, 595, 75078, 320, 32, 12264, 101, 816, 340, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 32, 12264, 101, 816, 8, 75078, 320, 56, 12264, 101, 220, 16, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 320, 32, 12264, 101, 816, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 816, 8, 75078, 320, 32, 12264, 101, 816, 1192, 1209, 83193, 32, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 32, 12264, 101, 816, 1192, 7, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 32, 12264, 101, 816, 1192, 7, 83193, 7, 16, 12264, 101, 362, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 32, 12264, 101, 816, 1192, 1163, 8477, 25, 320, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 4489, 3883, 512, 1209, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 595, 75078, 320, 83193, 7, 32, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 320, 56, 12264, 101, 220, 16, 595, 75078, 320, 56, 12264, 101, 362, 340, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 362, 8, 75078, 320, 56, 12264, 101, 220, 16, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 320, 56, 12264, 101, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 816, 8, 75078, 320, 56, 12264, 101, 362, 1192, 1209, 83193, 32, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 1192, 7, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 1192, 7, 83193, 7, 16, 12264, 101, 362, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 56, 12264, 101, 362, 1192, 1163, 8477, 25, 320, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 4489, 3883, 512, 6774, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 595, 75078, 320, 83193, 7, 32, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 595, 12264, 101, 1819, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 52200, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 32, 75078, 320, 56, 12264, 101, 220, 16, 6054, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 16, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 56, 75078, 320, 56, 12264, 101, 220, 16, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 7, 32, 12264, 101, 220, 16, 595, 75078, 11861, 16, 12264, 101, 816, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 1209, 83193, 32, 8, 75078, 320, 83193, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 7, 16, 12264, 101, 362, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 4489, 3883, 512, 6774, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 52200, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 362, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 32, 75078, 320, 56, 12264, 101, 220, 16, 6054, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 16, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 1819, 56, 75078, 320, 56, 12264, 101, 220, 16, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 7, 83193, 16, 8, 75078, 11861, 16, 12264, 101, 816, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 15, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 4489, 3883, 512, 6774, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 52200, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 816, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 320, 56, 75078, 320, 56, 12264, 101, 220, 16, 6054, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 320, 16, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 1819, 32, 75078, 320, 56, 12264, 101, 220, 16, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 7, 83193, 16, 8, 75078, 11861, 16, 12264, 101, 816, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 15, 75078, 11861, 56, 12264, 101, 220, 16, 8, 75078, 362, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 362, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 1819, 56, 12264, 101, 220, 16, 8, 75078, 816, 595], "tokenizer": "cl100k_base", "tokens_len": 1632, "data_type": "boolean", "txt": "Original: (\u00ac(A \u2228 1)) \u2227 ((Y \u2228 1) \u2227 (A \u2228 Y))\n\nOptions:\n((Y \u2228 1) \u2227 (A \u2228 Y)) \u2227 (\u00ac(A \u2228 1))\n((\u00ac(A \u2228 1)) \u2227 (Y \u2228 1)) \u2227 (A \u2228 Y)\n(\u00ac(A \u2228 1)) \u2227 ((A \u2228 Y) \u2227 (Y \u2228 1))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n(\u00ac(A \u2228 1)) \u2227 ((Y \u2228 1) \u2227 (Y \u2228 A))\n(\u00ac(A \u2228 1)) \u2227 (1 \u2227 (A \u2228 Y))\n(\u00ac(A \u2228 1)) \u2227 ((1 \u2228 Y) \u2227 (A \u2228 Y))\n((\u00acA) \u2227 (\u00ac1)) \u2227 ((Y \u2228 1) \u2227 (A \u2228 Y))\n(\u00ac1) \u2227 ((Y \u2228 1) \u2227 (A \u2228 Y))\n(\u00ac(1 \u2228 A)) \u2227 ((Y \u2228 1) \u2227 (A \u2228 Y))\nChosen: (\u00ac(A \u2228 1)) \u2227 ((Y \u2228 1) \u2227 (Y \u2228 A))\n\nOptions:\n((Y \u2228 1) \u2227 (Y \u2228 A)) \u2227 (\u00ac(A \u2228 1))\n((\u00ac(A \u2228 1)) \u2227 (Y \u2228 1)) \u2227 (Y \u2228 A)\n(\u00ac(A \u2228 1)) \u2227 ((Y \u2228 A) \u2227 (Y \u2228 1))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 (1 \u2227 (Y \u2228 A))\n(\u00ac(A \u2228 1)) \u2227 ((1 \u2228 Y) \u2227 (Y \u2228 A))\n((\u00acA) \u2227 (\u00ac1)) \u2227 ((Y \u2228 1) \u2227 (Y \u2228 A))\n(\u00ac1) \u2227 ((Y \u2228 1) \u2227 (Y \u2228 A))\n(\u00ac(1 \u2228 A)) \u2227 ((Y \u2228 1) \u2227 (Y \u2228 A))\nChosen: (\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n\nOptions:\n(((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A)) \u2227 (\u00ac(A \u2228 1))\n((\u00ac(A \u2228 1)) \u2227 ((Y \u2228 1) \u2227 Y)) \u2228 ((\u00ac(A \u2228 1)) \u2227 ((Y \u2228 1) \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n(\u00ac(A \u2228 1)) \u2227 ((((Y \u2228 1) \u2227 Y) \u2228 (Y \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 A))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 (A \u2227 (Y \u2228 1)))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 (1 \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((1 \u2228 Y) \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 ((Y \u2227 (Y \u2228 1)) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 ((1 \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac(A \u2228 1)) \u2227 (((1 \u2228 Y) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n((\u00acA) \u2227 (\u00ac1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac(1 \u2228 A)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\nChosen: (\u00ac1) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n\nOptions:\n(((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 ((Y \u2228 1) \u2227 Y)) \u2228 ((\u00ac1) \u2227 ((Y \u2228 1) \u2227 A))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n(\u00ac1) \u2227 ((((Y \u2228 1) \u2227 Y) \u2228 (Y \u2228 1)) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 A))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 (A \u2227 (Y \u2228 1)))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 (1 \u2227 A))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((1 \u2228 Y) \u2227 A))\n(\u00ac1) \u2227 ((Y \u2227 (Y \u2228 1)) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac1) \u2227 ((1 \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n(\u00ac1) \u2227 (((1 \u2228 Y) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\n0 \u2227 (((Y \u2228 1) \u2227 Y) \u2228 ((Y \u2228 1) \u2227 A))\nChosen: (\u00ac1) \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n\nOptions:\n(((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 ((Y \u2228 1) \u2227 A)) \u2228 ((\u00ac1) \u2227 ((Y \u2228 1) \u2227 Y))\n(\u00ac1) \u2227 ((((Y \u2228 1) \u2227 A) \u2228 (Y \u2228 1)) \u2227 (((Y \u2228 1) \u2227 A) \u2228 Y))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 A) \u2228 (Y \u2227 (Y \u2228 1)))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 A) \u2228 (1 \u2227 Y))\n(\u00ac1) \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((1 \u2228 Y) \u2227 Y))\n(\u00ac1) \u2227 ((A \u2227 (Y \u2228 1)) \u2228 ((Y \u2228 1) \u2227 Y))\n(\u00ac1) \u2227 ((1 \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n(\u00ac1) \u2227 (((1 \u2228 Y) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\n0 \u2227 (((Y \u2228 1) \u2227 A) \u2228 ((Y \u2228 1) \u2227 Y))\nChosen: ((\u00ac1) \u2227 ((Y \u2228 1) \u2227 A)) \u2228 ((\u00ac1) \u2227 ((Y \u2228 1) \u2227 Y))", "id": 1633}, {"char_len": 582, "tokens": [18902, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 37, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 37, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 37, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 1209, 83193, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 435, 595, 12264, 101, 320, 15, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 37, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 37, 340, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 37, 12264, 101, 220, 15, 1192, 15, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 7, 15, 12264, 101, 435, 4489, 3883, 512, 83193, 7, 15, 12264, 101, 435, 340, 7, 83193, 7, 15, 12264, 101, 435, 595, 12264, 101, 220, 15, 198, 15, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 37, 1192, 15, 12264, 101, 320, 83193, 37, 340, 15, 12264, 101, 320, 83193, 7, 37, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 435, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 37, 340, 83193, 37, 198, 83193, 7, 37, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 37], "tokenizer": "cl100k_base", "tokens_len": 389, "data_type": "boolean", "txt": "Original: ((\u00ac1) \u2227 (\u00ac0)) \u2228 (\u00ac(0 \u2228 F))\n\nOptions:\n(\u00ac(0 \u2228 F)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((\u00ac1) \u2227 (\u00ac0)) \u2228 ((\u00ac0) \u2227 (\u00acF))\n((\u00ac1) \u2227 (\u00ac0)) \u2228 (\u00acF)\n((\u00ac1) \u2227 (\u00ac0)) \u2228 (\u00ac(F \u2228 0))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (\u00ac(0 \u2228 F))\n((\u00ac1) \u2227 1) \u2228 (\u00ac(0 \u2228 F))\n(0 \u2227 (\u00ac0)) \u2228 (\u00ac(0 \u2228 F))\nChosen: (0 \u2227 (\u00ac0)) \u2228 (\u00ac(0 \u2228 F))\n\nOptions:\n(\u00ac(0 \u2228 F)) \u2228 (0 \u2227 (\u00ac0))\n(0 \u2227 (\u00ac0)) \u2228 ((\u00ac0) \u2227 (\u00acF))\n(0 \u2227 (\u00ac0)) \u2228 (\u00acF)\n(0 \u2227 (\u00ac0)) \u2228 (\u00ac(F \u2228 0))\n0 \u2228 (\u00ac(0 \u2228 F))\n((\u00ac0) \u2227 0) \u2228 (\u00ac(0 \u2228 F))\n(0 \u2227 1) \u2228 (\u00ac(0 \u2228 F))\nChosen: 0 \u2228 (\u00ac(0 \u2228 F))\n\nOptions:\n\u00ac(0 \u2228 F)\n(\u00ac(0 \u2228 F)) \u2228 0\n0 \u2228 ((\u00ac0) \u2227 (\u00acF))\n0 \u2228 (\u00acF)\n0 \u2228 (\u00ac(F \u2228 0))\nChosen: \u00ac(0 \u2228 F)\n\nOptions:\n(\u00ac0) \u2227 (\u00acF)\n\u00acF\n\u00ac(F \u2228 0)\nChosen: \u00acF", "id": 1634}, {"char_len": 2157, "tokens": [18902, 25, 1819, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 6774, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 48, 75078, 435, 340, 1209, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 48, 75078, 435, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 1192, 1209, 16, 75078, 1229, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 37, 75078, 1229, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 1229, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 7, 16, 75078, 320, 48, 75078, 320, 16, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 6774, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 1229, 8, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1209, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 6386, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1163, 8477, 25, 1819, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 75078, 220, 16, 340, 6774, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 48, 75078, 435, 340, 1209, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 1819, 48, 75078, 435, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 1192, 1209, 16, 75078, 1229, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 37, 75078, 1229, 1192, 7, 16, 75078, 1229, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 7, 16, 75078, 320, 16, 75078, 1229, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 7, 16, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1163, 8477, 25, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 6774, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 48, 75078, 435, 340, 1209, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 48, 75078, 435, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 37, 75078, 1229, 1192, 6386, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 7, 16, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 6386, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 1192, 1163, 8477, 25, 1819, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 48, 8, 12264, 101, 1819, 48, 75078, 435, 8, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 1192, 6774, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 320, 48, 75078, 220, 16, 595, 75078, 11861, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 220, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 320, 48, 75078, 220, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 320, 16, 75078, 320, 48, 75078, 220, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 48, 75078, 435, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 75078, 220, 16, 340, 1209, 48, 75078, 435, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 83193, 48, 8, 12264, 101, 320, 37, 75078, 1229, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 1209, 48, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 1192, 67944, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 320, 48, 75078, 220, 16, 595, 75078, 52200, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 320, 48, 75078, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 320, 16, 75078, 320, 48, 75078, 220, 16, 1192, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 320, 48, 75078, 320, 16, 75078, 220, 16, 1192, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 16, 75078, 1229, 8, 75078, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 435, 8, 75078, 1819, 83193, 48, 8, 12264, 101, 1229, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 67944, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 48, 595, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 6774, 83193, 48, 8, 12264, 101, 1229, 8, 75078, 320, 37, 12264, 101, 320, 83193, 48, 7861, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 7, 16, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 48, 12264, 101, 320, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 16, 75078, 1819, 83193, 48, 8, 12264, 101, 435, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1418, "data_type": "boolean", "txt": "Original: ((1 \u2227 Q) \u2227 (1 \u2228 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n\nOptions:\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 ((1 \u2227 Q) \u2227 (1 \u2228 1))\n(((1 \u2227 Q) \u2227 (1 \u2228 1)) \u2228 (\u00acQ)) \u2228 (Q \u2227 F)\n((1 \u2227 Q) \u2227 (1 \u2228 1)) \u2228 ((Q \u2227 F) \u2228 (\u00acQ))\n((1 \u2227 Q) \u2227 (1 \u2228 1)) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F))\n((1 \u2227 Q) \u2227 (1 \u2228 1)) \u2228 ((\u00acQ) \u2228 (F \u2227 Q))\n((1 \u2228 1) \u2227 (1 \u2227 Q)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(1 \u2227 (Q \u2227 (1 \u2228 1))) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(((1 \u2227 Q) \u2227 1) \u2228 ((1 \u2227 Q) \u2227 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n((1 \u2227 Q) \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(Q \u2227 (1 \u2228 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n((Q \u2227 1) \u2227 (1 \u2228 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\nChosen: ((1 \u2227 Q) \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n\nOptions:\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 ((1 \u2227 Q) \u2227 1)\n(((1 \u2227 Q) \u2227 1) \u2228 (\u00acQ)) \u2228 (Q \u2227 F)\n((1 \u2227 Q) \u2227 1) \u2228 ((Q \u2227 F) \u2228 (\u00acQ))\n((1 \u2227 Q) \u2227 1) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F))\n((1 \u2227 Q) \u2227 1) \u2228 ((\u00acQ) \u2228 (F \u2227 Q))\n(1 \u2227 Q) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(1 \u2227 (1 \u2227 Q)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(1 \u2227 (Q \u2227 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(Q \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n((Q \u2227 1) \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\nChosen: ((Q \u2227 1) \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n\nOptions:\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 ((Q \u2227 1) \u2227 1)\n(((Q \u2227 1) \u2227 1) \u2228 (\u00acQ)) \u2228 (Q \u2227 F)\n((Q \u2227 1) \u2227 1) \u2228 ((Q \u2227 F) \u2228 (\u00acQ))\n((Q \u2227 1) \u2227 1) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F))\n((Q \u2227 1) \u2227 1) \u2228 ((\u00acQ) \u2228 (F \u2227 Q))\n(Q \u2227 1) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(1 \u2227 (Q \u2227 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\n(Q \u2227 (1 \u2227 1)) \u2228 ((\u00acQ) \u2228 (Q \u2227 F))\nChosen: ((\u00acQ) \u2228 (Q \u2227 F)) \u2228 ((Q \u2227 1) \u2227 1)\n\nOptions:\n(\u00acQ) \u2228 ((Q \u2227 F) \u2228 ((Q \u2227 1) \u2227 1))\n(((\u00acQ) \u2228 (Q \u2227 F)) \u2228 (Q \u2227 1)) \u2227 (((\u00acQ) \u2228 (Q \u2227 F)) \u2228 1)\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 (Q \u2227 1)\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 (1 \u2227 (Q \u2227 1))\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 (Q \u2227 (1 \u2227 1))\n((\u00acQ) \u2228 (Q \u2227 F)) \u2228 ((1 \u2227 Q) \u2227 1)\n((Q \u2227 F) \u2228 (\u00acQ)) \u2228 ((Q \u2227 1) \u2227 1)\n(((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 ((Q \u2227 1) \u2227 1)\n((\u00acQ) \u2228 (F \u2227 Q)) \u2228 ((Q \u2227 1) \u2227 1)\nChosen: (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 ((Q \u2227 1) \u2227 1)\n\nOptions:\n((Q \u2227 1) \u2227 1) \u2228 (((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F))\n((((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 (Q \u2227 1)) \u2227 ((((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 1)\n(((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 (Q \u2227 1)\n(((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 (1 \u2227 (Q \u2227 1))\n(((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 (Q \u2227 (1 \u2227 1))\n(((\u00acQ) \u2228 Q) \u2227 ((\u00acQ) \u2228 F)) \u2228 ((1 \u2227 Q) \u2227 1)\n(((\u00acQ) \u2228 F) \u2227 ((\u00acQ) \u2228 Q)) \u2228 ((Q \u2227 1) \u2227 1)\n((((\u00acQ) \u2228 Q) \u2227 (\u00acQ)) \u2228 (((\u00acQ) \u2228 Q) \u2227 F)) \u2228 ((Q \u2227 1) \u2227 1)\n(((\u00acQ) \u2228 Q) \u2227 (F \u2228 (\u00acQ))) \u2228 ((Q \u2227 1) \u2227 1)\n(1 \u2227 ((\u00acQ) \u2228 F)) \u2228 ((Q \u2227 1) \u2227 1)\n((Q \u2228 (\u00acQ)) \u2227 ((\u00acQ) \u2228 F)) \u2228 ((Q \u2227 1) \u2227 1)\nChosen: (1 \u2227 ((\u00acQ) \u2228 F)) \u2228 ((Q \u2227 1) \u2227 1)", "id": 1635}, {"char_len": 106, "tokens": [18902, 25, 97265, 7, 83193, 7, 16, 75078, 650, 4489, 3883, 512, 16, 75078, 650, 198, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 53, 1192, 83193, 7, 83193, 53, 340, 83193, 7, 83193, 7, 53, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 83193, 53, 696, 3883, 512, 53, 198, 1163, 8477, 25, 650], "tokenizer": "cl100k_base", "tokens_len": 57, "data_type": "boolean", "txt": "Original: \u00ac(\u00ac(1 \u2227 V))\n\nOptions:\n1 \u2227 V\n\u00ac((\u00ac1) \u2228 (\u00acV))\n\u00ac(\u00acV)\n\u00ac(\u00ac(V \u2227 1))\nChosen: \u00ac(\u00acV)\n\nOptions:\nV\nChosen: V", "id": 1636}, {"char_len": 229, "tokens": [18902, 25, 97265, 1209, 83193, 33, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 33, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 320, 83193, 33, 1192, 83193, 1209, 83193, 33, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 1209, 83193, 33, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 83193, 33, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 83193, 33, 340, 83193, 7, 16, 75078, 320, 83193, 33, 1192, 1163, 8477, 25, 97265, 7, 16, 75078, 320, 83193, 33, 4489, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 83193, 33, 1192, 83193, 7, 83193, 33, 340, 1163, 8477, 25, 97265, 7, 83193, 33, 696, 3883, 512, 33, 198, 1163, 8477, 25, 426], "tokenizer": "cl100k_base", "tokens_len": 132, "data_type": "boolean", "txt": "Original: \u00ac((\u00acB) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(\u00acB)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac0) \u2227 (\u00acB))\n\u00ac((\u00acB) \u2227 1)\nChosen: \u00ac((\u00acB) \u2227 1)\n\nOptions:\n(\u00ac(\u00acB)) \u2228 (\u00ac1)\n\u00ac(\u00acB)\n\u00ac(1 \u2227 (\u00acB))\nChosen: \u00ac(1 \u2227 (\u00acB))\n\nOptions:\n(\u00ac1) \u2228 (\u00ac(\u00acB))\n\u00ac(\u00acB)\nChosen: \u00ac(\u00acB)\n\nOptions:\nB\nChosen: B", "id": 1637}, {"char_len": 696, "tokens": [18902, 25, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 52, 12264, 101, 473, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 52, 8, 75078, 320, 83193, 39, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 39, 12264, 101, 549, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 6774, 16, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 7, 16, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 52, 12264, 101, 473, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 52, 8, 75078, 320, 83193, 39, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 39, 12264, 101, 549, 1192, 15, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 7, 15, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 7, 52, 12264, 101, 473, 4489, 3883, 512, 83193, 7, 52, 12264, 101, 473, 340, 7, 83193, 7, 52, 12264, 101, 473, 595, 12264, 101, 220, 15, 198, 15, 12264, 101, 1819, 83193, 52, 8, 75078, 320, 83193, 39, 1192, 15, 12264, 101, 320, 83193, 7, 39, 12264, 101, 549, 1192, 1163, 8477, 25, 97265, 7, 52, 12264, 101, 473, 696, 3883, 512, 7, 83193, 52, 8, 75078, 320, 83193, 39, 340, 83193, 7, 39, 12264, 101, 549, 340, 1163, 8477, 25, 97265, 7, 39, 12264, 101, 549, 696, 3883, 512, 7, 83193, 39, 8, 75078, 320, 83193, 52, 340, 1163, 8477, 25, 320, 83193, 39, 8, 75078, 320, 83193, 52, 8], "tokenizer": "cl100k_base", "tokens_len": 472, "data_type": "boolean", "txt": "Original: ((1 \u2228 1) \u2227 (1 \u2227 0)) \u2228 (\u00ac(U \u2228 H))\n\nOptions:\n(\u00ac(U \u2228 H)) \u2228 ((1 \u2228 1) \u2227 (1 \u2227 0))\n((1 \u2228 1) \u2227 (1 \u2227 0)) \u2228 ((\u00acU) \u2227 (\u00acH))\n((1 \u2228 1) \u2227 (1 \u2227 0)) \u2228 (\u00ac(H \u2228 U))\n((1 \u2227 0) \u2227 (1 \u2228 1)) \u2228 (\u00ac(U \u2228 H))\n(((1 \u2228 1) \u2227 1) \u2227 0) \u2228 (\u00ac(U \u2228 H))\n((1 \u2228 1) \u2227 0) \u2228 (\u00ac(U \u2228 H))\n((1 \u2228 1) \u2227 (0 \u2227 1)) \u2228 (\u00ac(U \u2228 H))\n(1 \u2227 (1 \u2227 0)) \u2228 (\u00ac(U \u2228 H))\nChosen: ((1 \u2228 1) \u2227 0) \u2228 (\u00ac(U \u2228 H))\n\nOptions:\n(\u00ac(U \u2228 H)) \u2228 ((1 \u2228 1) \u2227 0)\n((1 \u2228 1) \u2227 0) \u2228 ((\u00acU) \u2227 (\u00acH))\n((1 \u2228 1) \u2227 0) \u2228 (\u00ac(H \u2228 U))\n0 \u2228 (\u00ac(U \u2228 H))\n(0 \u2227 (1 \u2228 1)) \u2228 (\u00ac(U \u2228 H))\n(1 \u2227 0) \u2228 (\u00ac(U \u2228 H))\nChosen: 0 \u2228 (\u00ac(U \u2228 H))\n\nOptions:\n\u00ac(U \u2228 H)\n(\u00ac(U \u2228 H)) \u2228 0\n0 \u2228 ((\u00acU) \u2227 (\u00acH))\n0 \u2228 (\u00ac(H \u2228 U))\nChosen: \u00ac(U \u2228 H)\n\nOptions:\n(\u00acU) \u2227 (\u00acH)\n\u00ac(H \u2228 U)\nChosen: \u00ac(H \u2228 U)\n\nOptions:\n(\u00acH) \u2227 (\u00acU)\nChosen: (\u00acH) \u2227 (\u00acU)", "id": 1638}, {"char_len": 789, "tokens": [18902, 25, 97265, 1209, 44, 75078, 1630, 8, 12264, 101, 320, 44, 12264, 101, 1630, 4489, 3883, 512, 7, 83193, 7, 44, 75078, 1630, 595, 75078, 320, 83193, 7, 44, 12264, 101, 1630, 1192, 83193, 1209, 44, 12264, 101, 1630, 8, 12264, 101, 320, 44, 75078, 1630, 1192, 83193, 6774, 44, 75078, 1630, 8, 12264, 101, 386, 8, 12264, 101, 1630, 340, 83193, 1209, 44, 75078, 1630, 8, 12264, 101, 320, 55, 12264, 101, 386, 1192, 83193, 1209, 55, 75078, 386, 8, 12264, 101, 320, 44, 12264, 101, 1630, 1192, 1163, 8477, 25, 97265, 6774, 44, 75078, 1630, 8, 12264, 101, 386, 8, 12264, 101, 1630, 696, 3883, 512, 7, 83193, 1209, 44, 75078, 1630, 8, 12264, 101, 386, 595, 75078, 320, 83193, 55, 340, 83193, 7, 55, 12264, 101, 1819, 44, 75078, 1630, 8, 12264, 101, 386, 1192, 83193, 1209, 44, 12264, 101, 320, 44, 75078, 1630, 595, 12264, 101, 1630, 340, 83193, 6774, 55, 75078, 386, 8, 12264, 101, 386, 8, 12264, 101, 1630, 340, 1163, 8477, 25, 320, 83193, 1209, 44, 75078, 1630, 8, 12264, 101, 386, 595, 75078, 320, 83193, 55, 696, 3883, 512, 7, 83193, 55, 8, 75078, 320, 83193, 1209, 44, 75078, 1630, 8, 12264, 101, 386, 1192, 1209, 83193, 7, 44, 75078, 1630, 595, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 55, 340, 7, 83193, 7, 44, 12264, 101, 320, 44, 75078, 1630, 7861, 75078, 320, 83193, 55, 340, 7, 83193, 1209, 55, 75078, 386, 8, 12264, 101, 386, 595, 75078, 320, 83193, 55, 340, 1163, 8477, 25, 1819, 83193, 7, 44, 75078, 1630, 595, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 55, 696, 3883, 512, 7, 83193, 55, 8, 75078, 1819, 83193, 7, 44, 75078, 1630, 595, 75078, 320, 83193, 44, 1192, 7, 83193, 7, 44, 75078, 1630, 595, 75078, 1819, 83193, 44, 8, 75078, 320, 83193, 55, 1192, 1209, 83193, 44, 8, 75078, 320, 83193, 7, 44, 75078, 1630, 7861, 75078, 320, 83193, 55, 340, 6774, 83193, 44, 8, 12264, 101, 320, 83193, 55, 595, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 55, 340, 1209, 83193, 7, 55, 75078, 386, 595, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 55, 340, 1163, 8477, 25, 1819, 83193, 44, 8, 75078, 320, 83193, 7, 44, 75078, 1630, 7861, 75078, 320, 83193, 55, 696, 3883, 512, 7, 83193, 55, 8, 75078, 1819, 83193, 44, 8, 75078, 320, 83193, 7, 44, 75078, 1630, 6054, 7, 83193, 44, 8, 75078, 1819, 83193, 7, 44, 75078, 1630, 595, 75078, 320, 83193, 55, 1192, 1209, 83193, 44, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 320, 83193, 55, 7861, 75078, 320, 83193, 55, 340, 1209, 83193, 44, 8, 75078, 320, 83193, 7, 55, 75078, 386, 7861, 75078, 320, 83193, 55, 340, 1163, 8477, 25, 1819, 83193, 44, 8, 75078, 320, 83193, 7, 55, 75078, 386, 7861, 75078, 320, 83193, 55, 8], "tokenizer": "cl100k_base", "tokens_len": 476, "data_type": "boolean", "txt": "Original: \u00ac((M \u2227 X) \u2228 (M \u2228 X))\n\nOptions:\n(\u00ac(M \u2227 X)) \u2227 (\u00ac(M \u2228 X))\n\u00ac((M \u2228 X) \u2228 (M \u2227 X))\n\u00ac(((M \u2227 X) \u2228 M) \u2228 X)\n\u00ac((M \u2227 X) \u2228 (X \u2228 M))\n\u00ac((X \u2227 M) \u2228 (M \u2228 X))\nChosen: \u00ac(((M \u2227 X) \u2228 M) \u2228 X)\n\nOptions:\n(\u00ac((M \u2227 X) \u2228 M)) \u2227 (\u00acX)\n\u00ac(X \u2228 ((M \u2227 X) \u2228 M))\n\u00ac((M \u2228 (M \u2227 X)) \u2228 X)\n\u00ac(((X \u2227 M) \u2228 M) \u2228 X)\nChosen: (\u00ac((M \u2227 X) \u2228 M)) \u2227 (\u00acX)\n\nOptions:\n(\u00acX) \u2227 (\u00ac((M \u2227 X) \u2228 M))\n((\u00ac(M \u2227 X)) \u2227 (\u00acM)) \u2227 (\u00acX)\n(\u00ac(M \u2228 (M \u2227 X))) \u2227 (\u00acX)\n(\u00ac((X \u2227 M) \u2228 M)) \u2227 (\u00acX)\nChosen: ((\u00ac(M \u2227 X)) \u2227 (\u00acM)) \u2227 (\u00acX)\n\nOptions:\n(\u00acX) \u2227 ((\u00ac(M \u2227 X)) \u2227 (\u00acM))\n(\u00ac(M \u2227 X)) \u2227 ((\u00acM) \u2227 (\u00acX))\n((\u00acM) \u2227 (\u00ac(M \u2227 X))) \u2227 (\u00acX)\n(((\u00acM) \u2228 (\u00acX)) \u2227 (\u00acM)) \u2227 (\u00acX)\n((\u00ac(X \u2227 M)) \u2227 (\u00acM)) \u2227 (\u00acX)\nChosen: ((\u00acM) \u2227 (\u00ac(M \u2227 X))) \u2227 (\u00acX)\n\nOptions:\n(\u00acX) \u2227 ((\u00acM) \u2227 (\u00ac(M \u2227 X)))\n(\u00acM) \u2227 ((\u00ac(M \u2227 X)) \u2227 (\u00acX))\n((\u00acM) \u2227 ((\u00acM) \u2228 (\u00acX))) \u2227 (\u00acX)\n((\u00acM) \u2227 (\u00ac(X \u2227 M))) \u2227 (\u00acX)\nChosen: ((\u00acM) \u2227 (\u00ac(X \u2227 M))) \u2227 (\u00acX)", "id": 1639}, {"char_len": 459, "tokens": [18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 83193, 7, 16, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 198, 15, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 15, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 16, 696, 3883, 512, 83193, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 15, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 220, 15, 271, 3883, 512, 83193, 16, 198, 15, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 16], "tokenizer": "cl100k_base", "tokens_len": 324, "data_type": "boolean", "txt": "Original: (\u00ac(0 \u2228 1)) \u2228 (\u00ac(1 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2228 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (\u00ac1))\n(\u00ac(0 \u2228 1)) \u2228 (\u00ac1)\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (\u00ac(1 \u2228 1))\n(\u00ac1) \u2228 (\u00ac(1 \u2228 1))\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac(1 \u2228 1))\nChosen: (\u00ac1) \u2228 (\u00ac(1 \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 1)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((\u00ac1) \u2227 (\u00ac1))\n(\u00ac1) \u2228 (\u00ac1)\n0 \u2228 (\u00ac(1 \u2228 1))\nChosen: 0 \u2228 (\u00ac(1 \u2228 1))\n\nOptions:\n\u00ac(1 \u2228 1)\n(\u00ac(1 \u2228 1)) \u2228 0\n0 \u2228 ((\u00ac1) \u2227 (\u00ac1))\n0 \u2228 (\u00ac1)\nChosen: 0 \u2228 (\u00ac1)\n\nOptions:\n\u00ac1\n(\u00ac1) \u2228 0\n0 \u2228 0\nChosen: (\u00ac1) \u2228 0\n\nOptions:\n\u00ac1\n0 \u2228 0\nChosen: \u00ac1", "id": 1640}, {"char_len": 1215, "tokens": [18902, 25, 320, 83193, 7, 16, 12264, 101, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1209, 83193, 7, 16, 12264, 101, 735, 595, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 320, 15, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 16, 6054, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 11861, 15, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 42, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 735, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 735, 1192, 1209, 83193, 7, 16, 12264, 101, 735, 595, 75078, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 11861, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 735, 595, 75078, 320, 16, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 42, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 7, 83193, 7, 42, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 11861, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 16, 8, 75078, 320, 16, 75078, 320, 15, 75078, 220, 15, 1192, 15, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 16, 75078, 220, 15, 340, 15, 75078, 1819, 16, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 7, 15, 75078, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 75078, 220, 15, 198, 7, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 320, 15, 75078, 220, 16, 340, 15, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 15, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 819, "data_type": "boolean", "txt": "Original: (\u00ac(1 \u2228 K)) \u2227 ((0 \u2227 0) \u2227 (1 \u2228 1))\n\nOptions:\n((0 \u2227 0) \u2227 (1 \u2228 1)) \u2227 (\u00ac(1 \u2228 K))\n((\u00ac(1 \u2228 K)) \u2227 (0 \u2227 0)) \u2227 (1 \u2228 1)\n(\u00ac(1 \u2228 K)) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\n(\u00ac(1 \u2228 K)) \u2227 (0 \u2227 (0 \u2227 (1 \u2228 1)))\n(\u00ac(1 \u2228 K)) \u2227 (((0 \u2227 0) \u2227 1) \u2228 ((0 \u2227 0) \u2227 1))\n(\u00ac(1 \u2228 K)) \u2227 ((0 \u2227 0) \u2227 1)\n(\u00ac(1 \u2228 K)) \u2227 (0 \u2227 (1 \u2228 1))\n((\u00ac1) \u2227 (\u00acK)) \u2227 ((0 \u2227 0) \u2227 (1 \u2228 1))\n(\u00ac1) \u2227 ((0 \u2227 0) \u2227 (1 \u2228 1))\n(\u00ac(K \u2228 1)) \u2227 ((0 \u2227 0) \u2227 (1 \u2228 1))\nChosen: (\u00ac(1 \u2228 K)) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\n\nOptions:\n((1 \u2228 1) \u2227 (0 \u2227 0)) \u2227 (\u00ac(1 \u2228 K))\n((\u00ac(1 \u2228 K)) \u2227 (1 \u2228 1)) \u2227 (0 \u2227 0)\n(\u00ac(1 \u2228 K)) \u2227 (((1 \u2228 1) \u2227 0) \u2227 0)\n(\u00ac(1 \u2228 K)) \u2227 ((1 \u2228 1) \u2227 0)\n(\u00ac(1 \u2228 K)) \u2227 (1 \u2227 (0 \u2227 0))\n((\u00ac1) \u2227 (\u00acK)) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\n(\u00ac1) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\n(\u00ac(K \u2228 1)) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\nChosen: (\u00ac1) \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\n\nOptions:\n((1 \u2228 1) \u2227 (0 \u2227 0)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (1 \u2228 1)) \u2227 (0 \u2227 0)\n(\u00ac1) \u2227 ((0 \u2227 0) \u2227 (1 \u2228 1))\n(\u00ac1) \u2227 (((1 \u2228 1) \u2227 0) \u2227 0)\n(\u00ac1) \u2227 ((1 \u2228 1) \u2227 0)\n(\u00ac1) \u2227 (1 \u2227 (0 \u2227 0))\n0 \u2227 ((1 \u2228 1) \u2227 (0 \u2227 0))\nChosen: (\u00ac1) \u2227 ((1 \u2228 1) \u2227 0)\n\nOptions:\n((1 \u2228 1) \u2227 0) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (1 \u2228 1)) \u2227 0\n(\u00ac1) \u2227 0\n(\u00ac1) \u2227 (0 \u2227 (1 \u2228 1))\n(\u00ac1) \u2227 (1 \u2227 0)\n0 \u2227 ((1 \u2228 1) \u2227 0)\nChosen: (\u00ac1) \u2227 (0 \u2227 (1 \u2228 1))\n\nOptions:\n(0 \u2227 (1 \u2228 1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 0) \u2227 (1 \u2228 1)\n(\u00ac1) \u2227 0\n(\u00ac1) \u2227 ((0 \u2227 1) \u2228 (0 \u2227 1))\n(\u00ac1) \u2227 (0 \u2227 1)\n0 \u2227 (0 \u2227 (1 \u2228 1))\nChosen: (\u00ac1) \u2227 (0 \u2227 1)", "id": 1641}, {"char_len": 753, "tokens": [18902, 25, 320, 83193, 7, 83193, 41, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 320, 83193, 7, 83193, 41, 1192, 1209, 83193, 7, 83193, 41, 595, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 7, 83193, 41, 595, 75078, 320, 15, 12264, 101, 423, 1192, 7, 83193, 7, 83193, 41, 595, 75078, 1819, 15, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 41, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 423, 340, 7, 83193, 7, 83193, 41, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 423, 340, 7, 83193, 7, 83193, 41, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 41, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 423, 1192, 41, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 1192, 1163, 8477, 25, 622, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 622, 198, 16772, 75078, 320, 83193, 16, 595, 12264, 101, 320, 41, 75078, 320, 15, 12264, 101, 423, 1192, 41, 75078, 1819, 15, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 1192, 41, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 423, 340, 41, 75078, 1819, 83193, 16, 8, 12264, 101, 423, 340, 41, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 41, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 423, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 622, 271, 3883, 512, 1209, 15, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 75078, 622, 198, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 423, 8, 75078, 622, 198, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 622, 198, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 622, 198, 7, 15, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 622, 198, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 423, 8, 75078, 622, 271, 3883, 512, 41, 75078, 1819, 83193, 16, 8, 12264, 101, 423, 340, 5549, 12264, 101, 320, 83193, 16, 595, 75078, 622, 198, 7, 15, 12264, 101, 423, 8, 75078, 622, 198, 1163, 8477, 25, 622, 75078, 1819, 83193, 16, 8, 12264, 101, 423, 696, 3883, 512, 16772, 75078, 320, 83193, 16, 595, 12264, 101, 320, 41, 75078, 423, 340, 41, 75078, 320, 35, 12264, 101, 320, 83193, 16, 1192, 41, 75078, 320, 15, 12264, 101, 423, 340, 1163, 8477, 25, 622, 75078, 320, 15, 12264, 101, 423, 8], "tokenizer": "cl100k_base", "tokens_len": 483, "data_type": "boolean", "txt": "Original: (\u00ac(\u00acJ)) \u2227 ((\u00ac1) \u2228 (0 \u2228 D))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (\u00ac(\u00acJ))\n((\u00ac(\u00acJ)) \u2227 (\u00ac1)) \u2228 ((\u00ac(\u00acJ)) \u2227 (0 \u2228 D))\n(\u00ac(\u00acJ)) \u2227 ((0 \u2228 D) \u2228 (\u00ac1))\n(\u00ac(\u00acJ)) \u2227 (((\u00ac1) \u2228 0) \u2228 D)\n(\u00ac(\u00acJ)) \u2227 ((\u00ac1) \u2228 D)\n(\u00ac(\u00acJ)) \u2227 ((\u00ac1) \u2228 (D \u2228 0))\n(\u00ac(\u00acJ)) \u2227 (0 \u2228 (0 \u2228 D))\nJ \u2227 ((\u00ac1) \u2228 (0 \u2228 D))\nChosen: J \u2227 ((\u00ac1) \u2228 (0 \u2228 D))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 J\n(J \u2227 (\u00ac1)) \u2228 (J \u2227 (0 \u2228 D))\nJ \u2227 ((0 \u2228 D) \u2228 (\u00ac1))\nJ \u2227 (((\u00ac1) \u2228 0) \u2228 D)\nJ \u2227 ((\u00ac1) \u2228 D)\nJ \u2227 ((\u00ac1) \u2228 (D \u2228 0))\nJ \u2227 (0 \u2228 (0 \u2228 D))\nChosen: ((\u00ac1) \u2228 (0 \u2228 D)) \u2227 J\n\nOptions:\n((0 \u2228 D) \u2228 (\u00ac1)) \u2227 J\n(((\u00ac1) \u2228 0) \u2228 D) \u2227 J\n((\u00ac1) \u2228 D) \u2227 J\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 J\n(0 \u2228 (0 \u2228 D)) \u2227 J\nChosen: ((\u00ac1) \u2228 D) \u2227 J\n\nOptions:\nJ \u2227 ((\u00ac1) \u2228 D)\n(D \u2228 (\u00ac1)) \u2227 J\n(0 \u2228 D) \u2227 J\nChosen: J \u2227 ((\u00ac1) \u2228 D)\n\nOptions:\n(J \u2227 (\u00ac1)) \u2228 (J \u2227 D)\nJ \u2227 (D \u2228 (\u00ac1))\nJ \u2227 (0 \u2228 D)\nChosen: J \u2227 (0 \u2228 D)", "id": 1642}, {"char_len": 747, "tokens": [18902, 25, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 7, 40, 12264, 101, 358, 4489, 3883, 512, 7, 83193, 7, 40, 12264, 101, 358, 595, 75078, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 1192, 1209, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 83193, 40, 1192, 1209, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 40, 340, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 75078, 320, 83193, 7, 40, 12264, 101, 358, 1192, 12597, 12264, 101, 320, 52, 12264, 101, 320, 83193, 52, 7861, 75078, 320, 83193, 7, 40, 12264, 101, 358, 1192, 12597, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 7, 40, 12264, 101, 358, 1192, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 75078, 320, 83193, 7, 40, 12264, 101, 358, 4489, 3883, 512, 7, 83193, 7, 40, 12264, 101, 358, 595, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 75078, 1819, 83193, 40, 8, 75078, 320, 83193, 40, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 75078, 320, 83193, 40, 340, 6774, 83193, 52, 8, 12264, 101, 549, 8, 12264, 101, 549, 8, 75078, 320, 83193, 7, 40, 12264, 101, 358, 1192, 1209, 83193, 52, 8, 12264, 101, 549, 8, 75078, 320, 83193, 7, 40, 12264, 101, 358, 1192, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 595, 75078, 320, 83193, 40, 696, 3883, 512, 7, 83193, 40, 8, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 40, 340, 6774, 83193, 52, 8, 12264, 101, 549, 8, 12264, 101, 549, 8, 75078, 320, 83193, 40, 340, 1209, 83193, 52, 8, 12264, 101, 549, 8, 75078, 320, 83193, 40, 340, 1163, 8477, 25, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 40, 696, 3883, 512, 7, 83193, 40, 8, 75078, 1819, 52, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 1192, 12597, 12264, 101, 320, 52, 12264, 101, 320, 83193, 52, 7861, 75078, 320, 83193, 40, 340, 12597, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 40, 340, 1163, 8477, 25, 320, 52, 12264, 101, 320, 83193, 52, 595, 75078, 320, 83193, 40, 696, 3883, 512, 7, 83193, 40, 8, 75078, 320, 52, 12264, 101, 320, 83193, 52, 1192, 16, 75078, 320, 83193, 40, 340, 1209, 83193, 52, 8, 12264, 101, 549, 8, 75078, 320, 83193, 40, 340, 1163, 8477, 25, 220, 16, 75078, 320, 83193, 40, 8], "tokenizer": "cl100k_base", "tokens_len": 479, "data_type": "boolean", "txt": "Original: ((U \u2228 U) \u2228 (\u00acU)) \u2227 (\u00ac(I \u2228 I))\n\nOptions:\n(\u00ac(I \u2228 I)) \u2227 ((U \u2228 U) \u2228 (\u00acU))\n((U \u2228 U) \u2228 (\u00acU)) \u2227 ((\u00acI) \u2227 (\u00acI))\n((U \u2228 U) \u2228 (\u00acU)) \u2227 (\u00acI)\n((\u00acU) \u2228 (U \u2228 U)) \u2227 (\u00ac(I \u2228 I))\n(U \u2228 (U \u2228 (\u00acU))) \u2227 (\u00ac(I \u2228 I))\n(U \u2228 (\u00acU)) \u2227 (\u00ac(I \u2228 I))\nChosen: ((\u00acU) \u2228 (U \u2228 U)) \u2227 (\u00ac(I \u2228 I))\n\nOptions:\n(\u00ac(I \u2228 I)) \u2227 ((\u00acU) \u2228 (U \u2228 U))\n((\u00acU) \u2228 (U \u2228 U)) \u2227 ((\u00acI) \u2227 (\u00acI))\n((\u00acU) \u2228 (U \u2228 U)) \u2227 (\u00acI)\n(((\u00acU) \u2228 U) \u2228 U) \u2227 (\u00ac(I \u2228 I))\n((\u00acU) \u2228 U) \u2227 (\u00ac(I \u2228 I))\nChosen: ((\u00acU) \u2228 (U \u2228 U)) \u2227 (\u00acI)\n\nOptions:\n(\u00acI) \u2227 ((\u00acU) \u2228 (U \u2228 U))\n((U \u2228 U) \u2228 (\u00acU)) \u2227 (\u00acI)\n(((\u00acU) \u2228 U) \u2228 U) \u2227 (\u00acI)\n((\u00acU) \u2228 U) \u2227 (\u00acI)\nChosen: ((U \u2228 U) \u2228 (\u00acU)) \u2227 (\u00acI)\n\nOptions:\n(\u00acI) \u2227 ((U \u2228 U) \u2228 (\u00acU))\n(U \u2228 (U \u2228 (\u00acU))) \u2227 (\u00acI)\n(U \u2228 (\u00acU)) \u2227 (\u00acI)\nChosen: (U \u2228 (\u00acU)) \u2227 (\u00acI)\n\nOptions:\n(\u00acI) \u2227 (U \u2228 (\u00acU))\n1 \u2227 (\u00acI)\n((\u00acU) \u2228 U) \u2227 (\u00acI)\nChosen: 1 \u2227 (\u00acI)", "id": 1643}, {"char_len": 2133, "tokens": [18902, 25, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 595, 12264, 101, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 362, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 362, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 16, 75078, 362, 6054, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 362, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 32, 75078, 220, 16, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1209, 83193, 53, 8, 75078, 320, 32, 75078, 650, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 1209, 53, 75078, 362, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 1163, 8477, 25, 320, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 595, 12264, 101, 320, 32, 75078, 320, 53, 75078, 320, 83193, 53, 6054, 1209, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 16, 75078, 362, 1192, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 320, 15, 75078, 220, 15, 1192, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 362, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 16, 75078, 362, 6054, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 362, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 32, 75078, 220, 16, 1192, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1209, 53, 75078, 320, 83193, 53, 595, 75078, 362, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 4444, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 4444, 75078, 1819, 83193, 53, 8, 75078, 650, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 362, 1192, 1163, 8477, 25, 320, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 4489, 3883, 512, 7, 15, 75078, 320, 16, 75078, 362, 595, 12264, 101, 320, 32, 75078, 320, 53, 75078, 320, 83193, 53, 6054, 1209, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 220, 15, 8, 75078, 1819, 32, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 16, 75078, 362, 1192, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 220, 15, 198, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 362, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 362, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 320, 32, 75078, 220, 16, 1192, 1209, 53, 75078, 320, 83193, 53, 595, 75078, 362, 8, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 4444, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 4444, 75078, 1819, 83193, 53, 8, 75078, 650, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1163, 8477, 25, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 4489, 3883, 512, 7, 15, 75078, 320, 16, 75078, 362, 595, 12264, 101, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 8, 75078, 11861, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 362, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 198, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 362, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 362, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 32, 75078, 220, 16, 1192, 1209, 83193, 53, 8, 75078, 320, 32, 75078, 650, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1209, 53, 75078, 362, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 362, 1192, 1163, 8477, 25, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 696, 3883, 512, 1209, 16, 75078, 362, 8, 75078, 220, 15, 8, 12264, 101, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 362, 595, 75078, 11861, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 198, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 320, 32, 75078, 220, 15, 1192, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 32, 75078, 220, 15, 340, 1209, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 32, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 83193, 53, 8, 75078, 320, 32, 75078, 650, 595, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 340, 4444, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 340, 1209, 53, 75078, 362, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 362, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 32, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 320, 32, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1281, "data_type": "boolean", "txt": "Original: ((A \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n\nOptions:\n((0 \u2227 0) \u2227 (1 \u2227 A)) \u2228 ((A \u2227 V) \u2227 (\u00acV))\n(((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 0)) \u2227 (((A \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 A))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((1 \u2227 A) \u2227 (0 \u2227 0))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (((0 \u2227 0) \u2227 1) \u2227 A)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (0 \u2227 (1 \u2227 A)))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 0) \u2227 A)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 0) \u2227 (A \u2227 1))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (1 \u2227 A))\n((\u00acV) \u2227 (A \u2227 V)) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n((V \u2227 A) \u2227 (\u00acV)) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\nChosen: (A \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n\nOptions:\n((0 \u2227 0) \u2227 (1 \u2227 A)) \u2228 (A \u2227 (V \u2227 (\u00acV)))\n((A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 0)) \u2227 ((A \u2227 (V \u2227 (\u00acV))) \u2228 (1 \u2227 A))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((1 \u2227 A) \u2227 (0 \u2227 0))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 (((0 \u2227 0) \u2227 1) \u2227 A)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 (0 \u2227 (1 \u2227 A)))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 0) \u2227 A)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 0) \u2227 (A \u2227 1))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 (1 \u2227 A))\n((V \u2227 (\u00acV)) \u2227 A) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n(A \u2227 0) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\n(A \u2227 ((\u00acV) \u2227 V)) \u2228 ((0 \u2227 0) \u2227 (1 \u2227 A))\nChosen: (A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 (1 \u2227 A))\n\nOptions:\n(0 \u2227 (1 \u2227 A)) \u2228 (A \u2227 (V \u2227 (\u00acV)))\n((A \u2227 (V \u2227 (\u00acV))) \u2228 0) \u2227 ((A \u2227 (V \u2227 (\u00acV))) \u2228 (1 \u2227 A))\n(A \u2227 (V \u2227 (\u00acV))) \u2228 0\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((1 \u2227 A) \u2227 0)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 1) \u2227 A)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 A)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 (A \u2227 1))\n((V \u2227 (\u00acV)) \u2227 A) \u2228 (0 \u2227 (1 \u2227 A))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (1 \u2227 A))\n(A \u2227 0) \u2228 (0 \u2227 (1 \u2227 A))\n(A \u2227 ((\u00acV) \u2227 V)) \u2228 (0 \u2227 (1 \u2227 A))\nChosen: ((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (1 \u2227 A))\n\nOptions:\n(0 \u2227 (1 \u2227 A)) \u2228 ((A \u2227 V) \u2227 (\u00acV))\n(((A \u2227 V) \u2227 (\u00acV)) \u2228 0) \u2227 (((A \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 A))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 0\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((1 \u2227 A) \u2227 0)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 1) \u2227 A)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 A)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (A \u2227 1))\n((\u00acV) \u2227 (A \u2227 V)) \u2228 (0 \u2227 (1 \u2227 A))\n((V \u2227 A) \u2227 (\u00acV)) \u2228 (0 \u2227 (1 \u2227 A))\nChosen: ((A \u2227 V) \u2227 (\u00acV)) \u2228 ((1 \u2227 A) \u2227 0)\n\nOptions:\n((1 \u2227 A) \u2227 0) \u2228 ((A \u2227 V) \u2227 (\u00acV))\n(((A \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 A)) \u2227 (((A \u2227 V) \u2227 (\u00acV)) \u2228 0)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 0\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 (A \u2227 0))\n((A \u2227 V) \u2227 (\u00acV)) \u2228 (A \u2227 0)\n((A \u2227 V) \u2227 (\u00acV)) \u2228 ((A \u2227 1) \u2227 0)\n((\u00acV) \u2227 (A \u2227 V)) \u2228 ((1 \u2227 A) \u2227 0)\n(A \u2227 (V \u2227 (\u00acV))) \u2228 ((1 \u2227 A) \u2227 0)\n((V \u2227 A) \u2227 (\u00acV)) \u2228 ((1 \u2227 A) \u2227 0)\nChosen: ((A \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 (A \u2227 0))", "id": 1644}, {"char_len": 504, "tokens": [18902, 25, 97265, 1209, 52, 12264, 101, 445, 8, 75078, 320, 52, 75078, 549, 4489, 3883, 512, 7, 83193, 7, 52, 12264, 101, 445, 595, 12264, 101, 320, 83193, 7, 52, 75078, 549, 1192, 83193, 1209, 52, 75078, 549, 8, 75078, 320, 52, 12264, 101, 445, 1192, 83193, 6774, 52, 12264, 101, 445, 8, 75078, 549, 8, 75078, 549, 340, 83193, 1209, 52, 12264, 101, 445, 8, 75078, 549, 340, 83193, 1209, 43, 12264, 101, 549, 8, 75078, 320, 52, 75078, 549, 1192, 1163, 8477, 25, 97265, 1209, 52, 12264, 101, 445, 8, 75078, 549, 696, 3883, 512, 7, 83193, 7, 52, 12264, 101, 445, 595, 12264, 101, 320, 83193, 52, 340, 83193, 7, 52, 75078, 320, 52, 12264, 101, 445, 1192, 83193, 1209, 43, 12264, 101, 549, 8, 75078, 549, 340, 1163, 8477, 25, 97265, 7, 52, 75078, 320, 52, 12264, 101, 445, 4489, 3883, 512, 7, 83193, 52, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 445, 1192, 83193, 1209, 52, 75078, 549, 8, 12264, 101, 320, 52, 75078, 445, 1192, 83193, 7, 52, 75078, 320, 43, 12264, 101, 549, 1192, 1163, 8477, 25, 320, 83193, 52, 8, 12264, 101, 320, 83193, 7, 52, 12264, 101, 445, 4489, 3883, 512, 7, 83193, 7, 52, 12264, 101, 445, 595, 12264, 101, 320, 83193, 52, 340, 7, 83193, 52, 8, 12264, 101, 1819, 83193, 52, 8, 75078, 320, 83193, 43, 1192, 7, 83193, 52, 8, 12264, 101, 320, 83193, 7, 43, 12264, 101, 549, 1192, 1163, 8477, 25, 320, 83193, 7, 52, 12264, 101, 445, 595, 12264, 101, 320, 83193, 52, 696, 3883, 512, 1209, 83193, 52, 8, 75078, 320, 83193, 43, 595, 12264, 101, 320, 83193, 52, 340, 7, 83193, 7, 43, 12264, 101, 549, 595, 12264, 101, 320, 83193, 52, 340, 1163, 8477, 25, 320, 83193, 7, 43, 12264, 101, 549, 595, 12264, 101, 320, 83193, 52, 8], "tokenizer": "cl100k_base", "tokens_len": 311, "data_type": "boolean", "txt": "Original: \u00ac((U \u2228 L) \u2227 (U \u2227 U))\n\nOptions:\n(\u00ac(U \u2228 L)) \u2228 (\u00ac(U \u2227 U))\n\u00ac((U \u2227 U) \u2227 (U \u2228 L))\n\u00ac(((U \u2228 L) \u2227 U) \u2227 U)\n\u00ac((U \u2228 L) \u2227 U)\n\u00ac((L \u2228 U) \u2227 (U \u2227 U))\nChosen: \u00ac((U \u2228 L) \u2227 U)\n\nOptions:\n(\u00ac(U \u2228 L)) \u2228 (\u00acU)\n\u00ac(U \u2227 (U \u2228 L))\n\u00ac((L \u2228 U) \u2227 U)\nChosen: \u00ac(U \u2227 (U \u2228 L))\n\nOptions:\n(\u00acU) \u2228 (\u00ac(U \u2228 L))\n\u00ac((U \u2227 U) \u2228 (U \u2227 L))\n\u00ac(U \u2227 (L \u2228 U))\nChosen: (\u00acU) \u2228 (\u00ac(U \u2228 L))\n\nOptions:\n(\u00ac(U \u2228 L)) \u2228 (\u00acU)\n(\u00acU) \u2228 ((\u00acU) \u2227 (\u00acL))\n(\u00acU) \u2228 (\u00ac(L \u2228 U))\nChosen: (\u00ac(U \u2228 L)) \u2228 (\u00acU)\n\nOptions:\n((\u00acU) \u2227 (\u00acL)) \u2228 (\u00acU)\n(\u00ac(L \u2228 U)) \u2228 (\u00acU)\nChosen: (\u00ac(L \u2228 U)) \u2228 (\u00acU)", "id": 1645}, {"char_len": 1164, "tokens": [18902, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 15, 75078, 220, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 15, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 696, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 320, 83193, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 220, 16, 198, 7, 16, 75078, 320, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 696, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 340, 6774, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 1209, 83193, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 828, "data_type": "boolean", "txt": "Original: ((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 0))\n\nOptions:\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 ((\u00ac0) \u2227 (\u00ac0))\n(((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 1)) \u2228 (0 \u2227 0)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 0)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2228 (0 \u2227 0))\n((\u00ac0) \u2227 1) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 0))\n(1 \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 (0 \u2227 0))\nChosen: ((\u00ac0) \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 0)\n\nOptions:\n((1 \u2227 1) \u2228 0) \u2228 ((\u00ac0) \u2227 (\u00ac0))\n(((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 1)) \u2228 0\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2227 1)\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (0 \u2228 (1 \u2227 1))\n((\u00ac0) \u2227 (\u00ac0)) \u2228 (1 \u2228 0)\n((\u00ac0) \u2227 1) \u2228 ((1 \u2227 1) \u2228 0)\n(1 \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 0)\nChosen: (1 \u2227 (\u00ac0)) \u2228 ((1 \u2227 1) \u2228 0)\n\nOptions:\n((1 \u2227 1) \u2228 0) \u2228 (1 \u2227 (\u00ac0))\n((1 \u2227 (\u00ac0)) \u2228 (1 \u2227 1)) \u2228 0\n(1 \u2227 (\u00ac0)) \u2228 (1 \u2227 1)\n(1 \u2227 (\u00ac0)) \u2228 (0 \u2228 (1 \u2227 1))\n(1 \u2227 (\u00ac0)) \u2228 (1 \u2228 0)\n(\u00ac0) \u2228 ((1 \u2227 1) \u2228 0)\n((\u00ac0) \u2227 1) \u2228 ((1 \u2227 1) \u2228 0)\n(1 \u2227 1) \u2228 ((1 \u2227 1) \u2228 0)\nChosen: (1 \u2227 (\u00ac0)) \u2228 (1 \u2228 0)\n\nOptions:\n(1 \u2228 0) \u2228 (1 \u2227 (\u00ac0))\n((1 \u2227 (\u00ac0)) \u2228 1) \u2228 0\n(1 \u2227 (\u00ac0)) \u2228 1\n(1 \u2227 (\u00ac0)) \u2228 (0 \u2228 1)\n(\u00ac0) \u2228 (1 \u2228 0)\n((\u00ac0) \u2227 1) \u2228 (1 \u2228 0)\n(1 \u2227 1) \u2228 (1 \u2228 0)\nChosen: ((\u00ac0) \u2227 1) \u2228 (1 \u2228 0)\n\nOptions:\n(1 \u2228 0) \u2228 ((\u00ac0) \u2227 1)\n(((\u00ac0) \u2227 1) \u2228 1) \u2228 0\n((\u00ac0) \u2227 1) \u2228 1\n((\u00ac0) \u2227 1) \u2228 (0 \u2228 1)\n(\u00ac0) \u2228 (1 \u2228 0)\n(1 \u2227 1) \u2228 (1 \u2228 0)\nChosen: (1 \u2227 1) \u2228 (1 \u2228 0)", "id": 1646}, {"char_len": 2202, "tokens": [18902, 25, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 320, 16, 12264, 101, 423, 4489, 3883, 512, 1209, 44, 12264, 101, 386, 8, 12264, 101, 320, 16, 12264, 101, 423, 595, 75078, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 1192, 6774, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 11861, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 423, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 44, 12264, 101, 386, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 11861, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 8, 12264, 101, 423, 340, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 320, 16, 12264, 101, 423, 6054, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 320, 35, 12264, 101, 220, 16, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 320, 16, 12264, 101, 423, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 320, 16, 12264, 101, 423, 1192, 7, 15, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 320, 16, 12264, 101, 423, 1192, 1209, 15, 75078, 423, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 320, 16, 12264, 101, 423, 1192, 1163, 8477, 25, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 8, 75078, 1819, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 1192, 6774, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 11861, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 220, 16, 340, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 220, 16, 198, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 16, 12264, 101, 320, 44, 12264, 101, 386, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 7, 15, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1209, 15, 75078, 423, 8, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 11861, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 220, 16, 198, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 44, 12264, 101, 386, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 220, 16, 340, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 220, 15, 8, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 4489, 3883, 512, 3269, 12264, 101, 320, 44, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 1192, 6774, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 386, 8, 12264, 101, 11861, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 220, 16, 8, 12264, 101, 386, 340, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 220, 16, 340, 1209, 83193, 44, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 16, 12264, 101, 386, 1192, 1209, 35, 75078, 220, 15, 8, 12264, 101, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1209, 83193, 44, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 11861, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 4489, 3883, 512, 3269, 12264, 101, 320, 44, 12264, 101, 220, 16, 595, 75078, 11861, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 1192, 1209, 83193, 44, 8, 12264, 101, 423, 8, 75078, 11861, 83193, 44, 8, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 6054, 67944, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 386, 8, 12264, 101, 52200, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 220, 16, 1192, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 1819, 44, 12264, 101, 220, 16, 8, 12264, 101, 386, 340, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 340, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 220, 16, 340, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 16, 12264, 101, 386, 1192, 6774, 83193, 44, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 423, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 67944, 83193, 44, 8, 12264, 101, 423, 8, 75078, 320, 83193, 44, 595, 12264, 101, 11861, 83193, 44, 8, 12264, 101, 423, 8, 75078, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 320, 83193, 44, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 6774, 83193, 44, 8, 12264, 101, 423, 8, 75078, 320, 15, 12264, 101, 320, 83193, 44, 7861, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1209, 35, 12264, 101, 320, 83193, 44, 595, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 320, 44, 12264, 101, 320, 44, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 11861, 83193, 44, 8, 12264, 101, 423, 8, 75078, 1819, 83193, 44, 8, 12264, 101, 220, 15, 595, 75078, 1819, 44, 12264, 101, 386, 8, 12264, 101, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 1516, "data_type": "boolean", "txt": "Original: ((D \u2227 0) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 (1 \u2228 D))\n\nOptions:\n((M \u2228 M) \u2228 (1 \u2228 D)) \u2227 ((D \u2227 0) \u2228 (\u00acM))\n(((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 M)) \u2228 (((D \u2227 0) \u2228 (\u00acM)) \u2227 (1 \u2228 D))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 ((1 \u2228 D) \u2228 (M \u2228 M))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (((M \u2228 M) \u2228 1) \u2228 D)\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 (M \u2228 (1 \u2228 D)))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 1)\n((D \u2227 0) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 (D \u2228 1))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 (1 \u2228 D))\n((\u00acM) \u2228 (D \u2227 0)) \u2227 ((M \u2228 M) \u2228 (1 \u2228 D))\n(0 \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 (1 \u2228 D))\n((0 \u2227 D) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 (1 \u2228 D))\nChosen: ((D \u2227 0) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 1)\n\nOptions:\n((M \u2228 M) \u2228 1) \u2227 ((D \u2227 0) \u2228 (\u00acM))\n(((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 M)) \u2228 (((D \u2227 0) \u2228 (\u00acM)) \u2227 1)\n((D \u2227 0) \u2228 (\u00acM)) \u2227 1\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (1 \u2228 (M \u2228 M))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 (M \u2228 1))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 1)\n((\u00acM) \u2228 (D \u2227 0)) \u2227 ((M \u2228 M) \u2228 1)\n(0 \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 1)\n((0 \u2227 D) \u2228 (\u00acM)) \u2227 ((M \u2228 M) \u2228 1)\nChosen: ((\u00acM) \u2228 (D \u2227 0)) \u2227 ((M \u2228 M) \u2228 1)\n\nOptions:\n((M \u2228 M) \u2228 1) \u2227 ((\u00acM) \u2228 (D \u2227 0))\n(((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 M)) \u2228 (((\u00acM) \u2228 (D \u2227 0)) \u2227 1)\n((\u00acM) \u2228 (D \u2227 0)) \u2227 1\n((\u00acM) \u2228 (D \u2227 0)) \u2227 (1 \u2228 (M \u2228 M))\n((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 (M \u2228 1))\n((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 1)\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 ((M \u2228 M) \u2228 1)\n((\u00acM) \u2228 0) \u2227 ((M \u2228 M) \u2228 1)\n((\u00acM) \u2228 (0 \u2227 D)) \u2227 ((M \u2228 M) \u2228 1)\nChosen: ((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 (M \u2228 1))\n\nOptions:\n(M \u2228 (M \u2228 1)) \u2227 ((\u00acM) \u2228 (D \u2227 0))\n(((\u00acM) \u2228 (D \u2227 0)) \u2227 M) \u2228 (((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 1))\n((\u00acM) \u2228 (D \u2227 0)) \u2227 ((M \u2228 1) \u2228 M)\n((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 1)\n((\u00acM) \u2228 (D \u2227 0)) \u2227 (M \u2228 (1 \u2228 M))\n((D \u2227 0) \u2228 (\u00acM)) \u2227 (M \u2228 (M \u2228 1))\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 (M \u2228 1))\n((\u00acM) \u2228 0) \u2227 (M \u2228 (M \u2228 1))\n((\u00acM) \u2228 (0 \u2227 D)) \u2227 (M \u2228 (M \u2228 1))\nChosen: (((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 (M \u2228 1))\n\nOptions:\n(M \u2228 (M \u2228 1)) \u2227 (((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0))\n((\u00acM) \u2228 D) \u2227 (((\u00acM) \u2228 0) \u2227 (M \u2228 (M \u2228 1)))\n((((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 M) \u2228 ((((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 1))\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 ((M \u2228 1) \u2228 M)\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 ((M \u2228 M) \u2228 1)\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 1)\n(((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 (1 \u2228 M))\n(((\u00acM) \u2228 0) \u2227 ((\u00acM) \u2228 D)) \u2227 (M \u2228 (M \u2228 1))\n((((\u00acM) \u2228 D) \u2227 (\u00acM)) \u2228 (((\u00acM) \u2228 D) \u2227 0)) \u2227 (M \u2228 (M \u2228 1))\n(((\u00acM) \u2228 D) \u2227 (\u00acM)) \u2227 (M \u2228 (M \u2228 1))\n(((\u00acM) \u2228 D) \u2227 (0 \u2228 (\u00acM))) \u2227 (M \u2228 (M \u2228 1))\n((D \u2228 (\u00acM)) \u2227 ((\u00acM) \u2228 0)) \u2227 (M \u2228 (M \u2228 1))\nChosen: (((\u00acM) \u2228 D) \u2227 ((\u00acM) \u2228 0)) \u2227 ((M \u2228 M) \u2228 1)", "id": 1647}, {"char_len": 564, "tokens": [18902, 25, 97265, 1209, 16, 12264, 101, 426, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 426, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 426, 1192, 83193, 6774, 16, 12264, 101, 426, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 426, 8, 75078, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 426, 8, 75078, 220, 16, 340, 83193, 1209, 16, 12264, 101, 426, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 33, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 33, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 33, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 220, 16, 1192, 83193, 6774, 33, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 33, 12264, 101, 220, 16, 8, 75078, 220, 15, 1192, 83193, 1209, 33, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 83193, 1209, 33, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 33, 12264, 101, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 7, 83193, 7, 33, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 83193, 7, 33, 12264, 101, 220, 16, 340, 83193, 7, 16, 75078, 320, 33, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 220, 16, 340, 83193, 1209, 16, 12264, 101, 426, 8, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 7, 16, 75078, 220, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 16, 340, 83193, 16, 198, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 220, 15, 198, 15, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 220, 15, 12264, 101, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 386, "data_type": "boolean", "txt": "Original: \u00ac((1 \u2228 B) \u2227 (1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 B)) \u2228 (\u00ac(1 \u2228 0))\n\u00ac((1 \u2228 0) \u2227 (1 \u2228 B))\n\u00ac(((1 \u2228 B) \u2227 1) \u2228 ((1 \u2228 B) \u2227 0))\n\u00ac((1 \u2228 B) \u2227 1)\n\u00ac((1 \u2228 B) \u2227 (0 \u2228 1))\n\u00ac(1 \u2227 (1 \u2228 0))\n\u00ac((B \u2228 1) \u2227 (1 \u2228 0))\nChosen: \u00ac((B \u2228 1) \u2227 (1 \u2228 0))\n\nOptions:\n(\u00ac(B \u2228 1)) \u2228 (\u00ac(1 \u2228 0))\n\u00ac((1 \u2228 0) \u2227 (B \u2228 1))\n\u00ac(((B \u2228 1) \u2227 1) \u2228 ((B \u2228 1) \u2227 0))\n\u00ac((B \u2228 1) \u2227 1)\n\u00ac((B \u2228 1) \u2227 (0 \u2228 1))\n\u00ac(1 \u2227 (1 \u2228 0))\nChosen: \u00ac((B \u2228 1) \u2227 1)\n\nOptions:\n(\u00ac(B \u2228 1)) \u2228 (\u00ac1)\n\u00ac(B \u2228 1)\n\u00ac(1 \u2227 (B \u2228 1))\n\u00ac(1 \u2227 1)\n\u00ac((1 \u2228 B) \u2227 1)\nChosen: \u00ac(1 \u2227 1)\n\nOptions:\n(\u00ac1) \u2228 (\u00ac1)\n\u00ac1\nChosen: (\u00ac1) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 0\n0 \u2228 (\u00ac1)\nChosen: 0 \u2228 (\u00ac1)", "id": 1648}, {"char_len": 1407, "tokens": [18902, 25, 320, 83193, 7, 47, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 320, 83193, 7, 47, 75078, 220, 16, 1192, 1209, 83193, 7, 47, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 7, 47, 75078, 220, 16, 595, 75078, 320, 16, 75078, 393, 1192, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 6054, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 11861, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 1192, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 340, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 7, 83193, 7, 47, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 7, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 7, 83193, 7, 16, 75078, 393, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 393, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 320, 83193, 7, 16, 75078, 393, 1192, 1209, 83193, 7, 16, 75078, 393, 595, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 7, 16, 75078, 393, 595, 75078, 320, 16, 75078, 393, 1192, 7, 83193, 7, 16, 75078, 393, 595, 75078, 1819, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 75078, 393, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 6054, 7, 83193, 7, 16, 75078, 393, 595, 75078, 11861, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 1192, 7, 83193, 7, 16, 75078, 393, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 340, 7, 83193, 7, 16, 75078, 393, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 7, 83193, 7, 16, 75078, 393, 595, 75078, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 7, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 320, 83193, 47, 340, 1209, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 16, 75078, 393, 1192, 7, 83193, 47, 8, 75078, 1819, 16, 75078, 393, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 393, 6054, 7, 83193, 47, 8, 75078, 11861, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 1192, 7, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 340, 7, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 393, 1192, 1163, 8477, 25, 320, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 696, 3883, 512, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 393, 8, 75078, 320, 83193, 47, 340, 1209, 83193, 47, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 47, 8, 75078, 393, 340, 7, 83193, 47, 8, 75078, 320, 47, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 393, 1192, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 393, 340, 1163, 8477, 25, 320, 83193, 47, 8, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 393, 4489, 3883, 512, 7, 15, 12264, 101, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 47, 340, 1209, 83193, 47, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 47, 8, 75078, 320, 15, 12264, 101, 393, 1192, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 393, 340, 7, 83193, 47, 8, 75078, 1819, 15, 12264, 101, 393, 8, 12264, 101, 220, 15, 340, 7, 83193, 47, 8, 75078, 320, 15, 12264, 101, 320, 47, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 47, 8, 75078, 320, 15, 12264, 101, 393, 8], "tokenizer": "cl100k_base", "tokens_len": 941, "data_type": "boolean", "txt": "Original: (\u00ac(P \u2227 1)) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n\nOptions:\n((0 \u2228 0) \u2228 (1 \u2227 P)) \u2227 (\u00ac(P \u2227 1))\n((\u00ac(P \u2227 1)) \u2227 (0 \u2228 0)) \u2228 ((\u00ac(P \u2227 1)) \u2227 (1 \u2227 P))\n(\u00ac(P \u2227 1)) \u2227 ((1 \u2227 P) \u2228 (0 \u2228 0))\n(\u00ac(P \u2227 1)) \u2227 (0 \u2228 (0 \u2228 (1 \u2227 P)))\n(\u00ac(P \u2227 1)) \u2227 (((0 \u2228 0) \u2228 1) \u2227 ((0 \u2228 0) \u2228 P))\n(\u00ac(P \u2227 1)) \u2227 ((0 \u2228 0) \u2228 P)\n(\u00ac(P \u2227 1)) \u2227 ((0 \u2228 0) \u2228 (P \u2227 1))\n(\u00ac(P \u2227 1)) \u2227 (0 \u2228 (1 \u2227 P))\n((\u00acP) \u2228 (\u00ac1)) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n(\u00acP) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n(\u00ac(1 \u2227 P)) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\nChosen: (\u00ac(1 \u2227 P)) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n\nOptions:\n((0 \u2228 0) \u2228 (1 \u2227 P)) \u2227 (\u00ac(1 \u2227 P))\n((\u00ac(1 \u2227 P)) \u2227 (0 \u2228 0)) \u2228 ((\u00ac(1 \u2227 P)) \u2227 (1 \u2227 P))\n(\u00ac(1 \u2227 P)) \u2227 ((1 \u2227 P) \u2228 (0 \u2228 0))\n(\u00ac(1 \u2227 P)) \u2227 (0 \u2228 (0 \u2228 (1 \u2227 P)))\n(\u00ac(1 \u2227 P)) \u2227 (((0 \u2228 0) \u2228 1) \u2227 ((0 \u2228 0) \u2228 P))\n(\u00ac(1 \u2227 P)) \u2227 ((0 \u2228 0) \u2228 P)\n(\u00ac(1 \u2227 P)) \u2227 ((0 \u2228 0) \u2228 (P \u2227 1))\n(\u00ac(1 \u2227 P)) \u2227 (0 \u2228 (1 \u2227 P))\n((\u00ac1) \u2228 (\u00acP)) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n(\u00acP) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\nChosen: (\u00acP) \u2227 ((0 \u2228 0) \u2228 (1 \u2227 P))\n\nOptions:\n((0 \u2228 0) \u2228 (1 \u2227 P)) \u2227 (\u00acP)\n((\u00acP) \u2227 (0 \u2228 0)) \u2228 ((\u00acP) \u2227 (1 \u2227 P))\n(\u00acP) \u2227 ((1 \u2227 P) \u2228 (0 \u2228 0))\n(\u00acP) \u2227 (0 \u2228 (0 \u2228 (1 \u2227 P)))\n(\u00acP) \u2227 (((0 \u2228 0) \u2228 1) \u2227 ((0 \u2228 0) \u2228 P))\n(\u00acP) \u2227 ((0 \u2228 0) \u2228 P)\n(\u00acP) \u2227 ((0 \u2228 0) \u2228 (P \u2227 1))\n(\u00acP) \u2227 (0 \u2228 (1 \u2227 P))\nChosen: (\u00acP) \u2227 ((0 \u2228 0) \u2228 P)\n\nOptions:\n((0 \u2228 0) \u2228 P) \u2227 (\u00acP)\n((\u00acP) \u2227 (0 \u2228 0)) \u2228 ((\u00acP) \u2227 P)\n(\u00acP) \u2227 (P \u2228 (0 \u2228 0))\n(\u00acP) \u2227 (0 \u2228 (0 \u2228 P))\n(\u00acP) \u2227 (0 \u2228 P)\nChosen: (\u00acP) \u2227 (0 \u2228 (0 \u2228 P))\n\nOptions:\n(0 \u2228 (0 \u2228 P)) \u2227 (\u00acP)\n((\u00acP) \u2227 0) \u2228 ((\u00acP) \u2227 (0 \u2228 P))\n(\u00acP) \u2227 (0 \u2228 P)\n(\u00acP) \u2227 ((0 \u2228 P) \u2228 0)\n(\u00acP) \u2227 (0 \u2228 (P \u2228 0))\nChosen: (\u00acP) \u2227 (0 \u2228 P)", "id": 1649}, {"char_len": 1832, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 50, 8, 75078, 320, 50, 12264, 101, 328, 595, 75078, 320, 83193, 7, 15, 75078, 423, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 423, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 50, 12264, 101, 328, 1192, 7, 83193, 50, 8, 75078, 1819, 50, 12264, 101, 328, 8, 75078, 320, 83193, 7, 15, 75078, 423, 6054, 1209, 83193, 50, 8, 75078, 320, 50, 12264, 101, 328, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 35, 1192, 1209, 83193, 50, 8, 75078, 320, 50, 12264, 101, 328, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 50, 8, 75078, 320, 50, 12264, 101, 328, 595, 75078, 320, 83193, 7, 35, 75078, 220, 15, 1192, 1209, 50, 12264, 101, 328, 8, 75078, 320, 83193, 50, 595, 75078, 320, 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1192, 1163, 8477, 25, 11861, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 35, 8, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 340, 67944, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 35, 595, 12264, 101, 52200, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 35, 1192, 6774, 83193, 50, 8, 75078, 328, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 220, 16, 340, 1209, 83193, 50, 8, 75078, 328, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 1819, 83193, 50, 8, 75078, 328, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 50, 75078, 320, 83193, 50, 595, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 328, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1125, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00ac(0 \u2227 D))\n\nOptions:\n(\u00ac(0 \u2227 D)) \u2227 ((\u00acS) \u2227 (S \u2228 S))\n(\u00acS) \u2227 ((S \u2228 S) \u2227 (\u00ac(0 \u2227 D)))\n((\u00acS) \u2227 (S \u2228 S)) \u2227 ((\u00ac0) \u2228 (\u00acD))\n((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00ac0)\n((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00ac(D \u2227 0))\n((S \u2228 S) \u2227 (\u00acS)) \u2227 (\u00ac(0 \u2227 D))\n(((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 (\u00ac(0 \u2227 D))\n((\u00acS) \u2227 S) \u2227 (\u00ac(0 \u2227 D))\nChosen: ((\u00acS) \u2227 (S \u2228 S)) \u2227 ((\u00ac0) \u2228 (\u00acD))\n\nOptions:\n((\u00ac0) \u2228 (\u00acD)) \u2227 ((\u00acS) \u2227 (S \u2228 S))\n(\u00acS) \u2227 ((S \u2228 S) \u2227 ((\u00ac0) \u2228 (\u00acD)))\n(((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00ac0)) \u2228 (((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00acD))\n((\u00acS) \u2227 (S \u2228 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n((\u00acS) \u2227 (S \u2228 S)) \u2227 (1 \u2228 (\u00acD))\n((S \u2228 S) \u2227 (\u00acS)) \u2227 ((\u00ac0) \u2228 (\u00acD))\n(((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00ac0) \u2228 (\u00acD))\n((\u00acS) \u2227 S) \u2227 ((\u00ac0) \u2228 (\u00acD))\nChosen: ((\u00acS) \u2227 (S \u2228 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n\nOptions:\n((\u00acD) \u2228 (\u00ac0)) \u2227 ((\u00acS) \u2227 (S \u2228 S))\n(\u00acS) \u2227 ((S \u2228 S) \u2227 ((\u00acD) \u2228 (\u00ac0)))\n(((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00acD)) \u2228 (((\u00acS) \u2227 (S \u2228 S)) \u2227 (\u00ac0))\n((\u00acS) \u2227 (S \u2228 S)) \u2227 ((\u00acD) \u2228 1)\n((S \u2228 S) \u2227 (\u00acS)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n((\u00acS) \u2227 S) \u2227 ((\u00acD) \u2228 (\u00ac0))\nChosen: (((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n\nOptions:\n((\u00acD) \u2228 (\u00ac0)) \u2227 (((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S))\n((((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 (\u00acD)) \u2228 ((((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 (\u00ac0))\n(((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00ac0) \u2228 (\u00acD))\n(((\u00acS) \u2227 S) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 1)\n((((\u00acS) \u2227 S) \u2228 (\u00acS)) \u2227 (((\u00acS) \u2227 S) \u2228 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(((\u00acS) \u2227 S) \u2228 0) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(((\u00acS) \u2227 S) \u2228 (S \u2227 (\u00acS))) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(0 \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n((S \u2227 (\u00acS)) \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\nChosen: (((\u00acS) \u2227 S) \u2228 0) \u2227 ((\u00acD) \u2228 (\u00ac0))\n\nOptions:\n((\u00acD) \u2228 (\u00ac0)) \u2227 (((\u00acS) \u2227 S) \u2228 0)\n((((\u00acS) \u2227 S) \u2228 0) \u2227 (\u00acD)) \u2228 ((((\u00acS) \u2227 S) \u2228 0) \u2227 (\u00ac0))\n(((\u00acS) \u2227 S) \u2228 0) \u2227 ((\u00ac0) \u2228 (\u00acD))\n(((\u00acS) \u2227 S) \u2228 0) \u2227 ((\u00acD) \u2228 1)\n((\u00acS) \u2227 S) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(0 \u2228 ((\u00acS) \u2227 S)) \u2227 ((\u00acD) \u2228 (\u00ac0))\n(0 \u2228 0) \u2227 ((\u00acD) \u2228 (\u00ac0))\n((S \u2227 (\u00acS)) \u2228 0) \u2227 ((\u00acD) \u2228 (\u00ac0))\nChosen: ((\u00acS) \u2227 S) \u2227 ((\u00acD) \u2228 (\u00ac0))", "id": 1650}, {"char_len": 2246, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 34, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 356, 8, 75078, 220, 16, 340, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 356, 340, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 34, 75078, 220, 16, 1192, 6774, 16, 75078, 356, 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1192, 6774, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 15, 8, 75078, 11861, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 15, 75078, 356, 8, 75078, 220, 16, 340, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 356, 340, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 6774, 16, 75078, 356, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 356, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 16, 75078, 356, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 3100, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 34, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 4489, 3883, 512, 7, 15, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 6054, 1209, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 220, 15, 340, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 1819, 15, 75078, 356, 8, 75078, 220, 16, 340, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 15, 75078, 356, 340, 7, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 320, 15, 75078, 320, 16, 75078, 356, 1192, 3100, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 34, 75078, 320, 16, 75078, 220, 15, 595, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 1819, 34, 75078, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 320, 34, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 7, 16, 75078, 320, 34, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 320, 15, 75078, 320, 34, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 220, 15, 271, 3883, 512, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 1192, 15, 12264, 101, 320, 16, 75078, 320, 34, 75078, 320, 16, 75078, 220, 15, 6054, 3100, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 1209, 34, 75078, 320, 16, 75078, 220, 15, 595, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 16, 75078, 356, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 1819, 34, 75078, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 34, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 34, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 595, 12264, 101, 220, 15, 271, 3883, 512, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 340, 15, 12264, 101, 320, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 356, 8, 12264, 101, 220, 15, 198, 6774, 16, 75078, 220, 15, 8, 75078, 356, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 16, 75078, 320, 16, 75078, 220, 15, 595, 75078, 356, 8, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 16, 75078, 320, 15, 75078, 356, 7861, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 15, 75078, 356, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 356, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 356, 8], "tokenizer": "cl100k_base", "tokens_len": 1394, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n\nOptions:\n((\u00ac1) \u2227 (C \u2227 1)) \u2228 ((1 \u2227 C) \u2227 (1 \u2227 0))\n(((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (\u00ac1)) \u2227 (((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (C \u2227 1))\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((C \u2227 1) \u2227 (\u00ac1))\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (((\u00ac1) \u2227 C) \u2227 1)\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((\u00ac1) \u2227 C)\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((\u00ac1) \u2227 (1 \u2227 C))\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n((1 \u2227 0) \u2227 (1 \u2227 C)) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n(((1 \u2227 C) \u2227 1) \u2227 0) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n((1 \u2227 C) \u2227 0) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n((1 \u2227 C) \u2227 (0 \u2227 1)) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n(C \u2227 (1 \u2227 0)) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\n((C \u2227 1) \u2227 (1 \u2227 0)) \u2228 ((\u00ac1) \u2227 (C \u2227 1))\nChosen: ((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n\nOptions:\n(0 \u2227 (C \u2227 1)) \u2228 ((1 \u2227 C) \u2227 (1 \u2227 0))\n(((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 0) \u2227 (((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (C \u2227 1))\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 0\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((C \u2227 1) \u2227 0)\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 ((0 \u2227 C) \u2227 1)\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (0 \u2227 C)\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (1 \u2227 C))\n((1 \u2227 0) \u2227 (1 \u2227 C)) \u2228 (0 \u2227 (C \u2227 1))\n(((1 \u2227 C) \u2227 1) \u2227 0) \u2228 (0 \u2227 (C \u2227 1))\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 (0 \u2227 (C \u2227 1))\n((1 \u2227 C) \u2227 0) \u2228 (0 \u2227 (C \u2227 1))\n((1 \u2227 C) \u2227 (0 \u2227 1)) \u2228 (0 \u2227 (C \u2227 1))\n(C \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n((C \u2227 1) \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\nChosen: (1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 (0 \u2227 (C \u2227 1))\n\nOptions:\n(0 \u2227 (C \u2227 1)) \u2228 (1 \u2227 (C \u2227 (1 \u2227 0)))\n((1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 0) \u2227 ((1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 (C \u2227 1))\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 0\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 ((C \u2227 1) \u2227 0)\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 ((0 \u2227 C) \u2227 1)\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 (0 \u2227 C)\n(1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 (0 \u2227 (1 \u2227 C))\n(C \u2227 (1 \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n((C \u2227 (1 \u2227 0)) \u2227 1) \u2228 (0 \u2227 (C \u2227 1))\n(1 \u2227 ((1 \u2227 0) \u2227 C)) \u2228 (0 \u2227 (C \u2227 1))\n(1 \u2227 ((C \u2227 1) \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n(1 \u2227 (C \u2227 0)) \u2228 (0 \u2227 (C \u2227 1))\n(1 \u2227 (C \u2227 (0 \u2227 1))) \u2228 (0 \u2227 (C \u2227 1))\nChosen: (1 \u2227 (C \u2227 (1 \u2227 0))) \u2228 0\n\nOptions:\n1 \u2227 (C \u2227 (1 \u2227 0))\n0 \u2228 (1 \u2227 (C \u2227 (1 \u2227 0)))\n(C \u2227 (1 \u2227 0)) \u2228 0\n((C \u2227 (1 \u2227 0)) \u2227 1) \u2228 0\n((1 \u2227 C) \u2227 (1 \u2227 0)) \u2228 0\n(1 \u2227 ((1 \u2227 0) \u2227 C)) \u2228 0\n(1 \u2227 ((C \u2227 1) \u2227 0)) \u2228 0\n(1 \u2227 (C \u2227 0)) \u2228 0\n(1 \u2227 (C \u2227 (0 \u2227 1))) \u2228 0\nChosen: (1 \u2227 ((1 \u2227 0) \u2227 C)) \u2228 0\n\nOptions:\n1 \u2227 ((1 \u2227 0) \u2227 C)\n0 \u2228 (1 \u2227 ((1 \u2227 0) \u2227 C))\n((1 \u2227 0) \u2227 C) \u2228 0\n(((1 \u2227 0) \u2227 C) \u2227 1) \u2228 0\n((1 \u2227 (1 \u2227 0)) \u2227 C) \u2228 0\n(1 \u2227 (1 \u2227 (0 \u2227 C))) \u2228 0\n(1 \u2227 (0 \u2227 C)) \u2228 0\n(1 \u2227 ((0 \u2227 1) \u2227 C)) \u2228 0\nChosen: 1 \u2227 ((1 \u2227 0) \u2227 C)", "id": 1651}, {"char_len": 1520, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 48, 75078, 350, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 48, 4489, 3883, 512, 7, 83193, 7, 83193, 48, 595, 12264, 101, 1819, 48, 75078, 350, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 48, 75078, 350, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 1229, 198, 1209, 16, 75078, 220, 16, 8, 75078, 320, 48, 75078, 350, 595, 12264, 101, 320, 83193, 7, 83193, 48, 1192, 6774, 48, 75078, 350, 8, 75078, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 48, 1192, 6386, 75078, 320, 51, 75078, 320, 16, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 7, 83193, 48, 1192, 1209, 48, 75078, 350, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 48, 1192, 1209, 51, 75078, 1229, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 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75078, 320, 48, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 48, 595], "tokenizer": "cl100k_base", "tokens_len": 952, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((Q \u2227 T) \u2227 (1 \u2227 1)) \u2228 (\u00ac(\u00acQ))\n\nOptions:\n(\u00ac(\u00acQ)) \u2228 ((Q \u2227 T) \u2227 (1 \u2227 1))\n((Q \u2227 T) \u2227 (1 \u2227 1)) \u2228 Q\n((1 \u2227 1) \u2227 (Q \u2227 T)) \u2228 (\u00ac(\u00acQ))\n(((Q \u2227 T) \u2227 1) \u2227 1) \u2228 (\u00ac(\u00acQ))\n(Q \u2227 (T \u2227 (1 \u2227 1))) \u2228 (\u00ac(\u00acQ))\n((Q \u2227 T) \u2227 1) \u2228 (\u00ac(\u00acQ))\n((T \u2227 Q) \u2227 (1 \u2227 1)) \u2228 (\u00ac(\u00acQ))\nChosen: (\u00ac(\u00acQ)) \u2228 ((Q \u2227 T) \u2227 (1 \u2227 1))\n\nOptions:\n((\u00ac(\u00acQ)) \u2228 (Q \u2227 T)) \u2227 ((\u00ac(\u00acQ)) \u2228 (1 \u2227 1))\n(\u00ac(\u00acQ)) \u2228 ((1 \u2227 1) \u2227 (Q \u2227 T))\n(\u00ac(\u00acQ)) \u2228 (((Q \u2227 T) \u2227 1) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 (Q \u2227 (T \u2227 (1 \u2227 1)))\n(\u00ac(\u00acQ)) \u2228 ((Q \u2227 T) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 Q) \u2227 (1 \u2227 1))\nQ \u2228 ((Q \u2227 T) \u2227 (1 \u2227 1))\nChosen: (\u00ac(\u00acQ)) \u2228 (((Q \u2227 T) \u2227 1) \u2227 1)\n\nOptions:\n(((Q \u2227 T) \u2227 1) \u2227 1) \u2228 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2228 ((Q \u2227 T) \u2227 1)) \u2227 ((\u00ac(\u00acQ)) \u2228 1)\n(\u00ac(\u00acQ)) \u2228 ((Q \u2227 T) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 (1 \u2227 ((Q \u2227 T) \u2227 1))\n(\u00ac(\u00acQ)) \u2228 ((1 \u2227 (Q \u2227 T)) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 ((Q \u2227 (T \u2227 1)) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 (((T \u2227 Q) \u2227 1) \u2227 1)\nQ \u2228 (((Q \u2227 T) \u2227 1) \u2227 1)\nChosen: (\u00ac(\u00acQ)) \u2228 (((T \u2227 Q) \u2227 1) \u2227 1)\n\nOptions:\n(((T \u2227 Q) \u2227 1) \u2227 1) \u2228 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2228 ((T \u2227 Q) \u2227 1)) \u2227 ((\u00ac(\u00acQ)) \u2228 1)\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 Q) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 (1 \u2227 ((T \u2227 Q) \u2227 1))\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 Q) \u2227 (1 \u2227 1))\n(\u00ac(\u00acQ)) \u2228 ((1 \u2227 (T \u2227 Q)) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 (Q \u2227 1)) \u2227 1)\nQ \u2228 (((T \u2227 Q) \u2227 1) \u2227 1)\nChosen: (\u00ac(\u00acQ)) \u2228 ((T \u2227 (Q \u2227 1)) \u2227 1)\n\nOptions:\n((T \u2227 (Q \u2227 1)) \u2227 1) \u2228 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2228 (T \u2227 (Q \u2227 1))) \u2227 ((\u00ac(\u00acQ)) \u2228 1)\n(\u00ac(\u00acQ)) \u2228 (T \u2227 (Q \u2227 1))\n(\u00ac(\u00acQ)) \u2228 (1 \u2227 (T \u2227 (Q \u2227 1)))\n(\u00ac(\u00acQ)) \u2228 (T \u2227 ((Q \u2227 1) \u2227 1))\n(\u00ac(\u00acQ)) \u2228 (((Q \u2227 1) \u2227 T) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 Q) \u2227 1)\n(\u00ac(\u00acQ)) \u2228 ((T \u2227 (1 \u2227 Q)) \u2227 1)\nQ \u2228 ((T \u2227 (Q \u2227 1)) \u2227 1)\nChosen: ((T \u2227 (Q \u2227 1)) \u2227 1) \u2228 (\u00ac(\u00acQ))", "id": 1652}, {"char_len": 330, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 39, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 83193, 7, 39, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 6054, 83193, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 83193, 16, 1192, 83193, 1209, 16, 12264, 101, 473, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 16, 198, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 340, 83193, 7, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 173, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((H \u2228 1) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(H \u2228 1)) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 (H \u2228 1))\n\u00ac(H \u2228 (1 \u2228 (\u00ac1)))\n\u00ac((H \u2228 1) \u2228 0)\n\u00ac(1 \u2228 (\u00ac1))\n\u00ac((1 \u2228 H) \u2228 (\u00ac1))\nChosen: \u00ac(1 \u2228 (\u00ac1))\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(\u00ac1))\n\u00ac1\n\u00ac((\u00ac1) \u2228 1)\n\u00ac(1 \u2228 0)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1653}, {"char_len": 1703, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 46, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 46, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 220, 15, 1192, 6774, 46, 75078, 220, 16, 8, 75078, 320, 53, 12264, 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12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 53, 75078, 507, 340, 1209, 53, 75078, 507, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 53, 75078, 507, 8, 12264, 101, 320, 83193, 16, 1192, 12692, 75078, 507, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 12692, 75078, 507, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 12692, 75078, 507, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 19792, 75078, 650, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 53, 75078, 507, 696, 3883, 512, 6774, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 650, 8, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 507, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 46, 75078, 650, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 53, 75078, 507, 340, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 53, 75078, 507, 340, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 320, 53, 75078, 507, 340, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 16, 595, 12264, 101, 320, 53, 75078, 507, 8], "tokenizer": "cl100k_base", "tokens_len": 1070, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((O \u2227 1) \u2227 (V \u2228 0)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac1)) \u2228 ((O \u2227 1) \u2227 (V \u2228 0))\n(((O \u2227 1) \u2227 (V \u2228 0)) \u2228 (\u00ac0)) \u2227 (((O \u2227 1) \u2227 (V \u2228 0)) \u2228 (\u00ac1))\n((O \u2227 1) \u2227 (V \u2228 0)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((O \u2227 1) \u2227 (V \u2228 0)) \u2228 ((\u00ac0) \u2227 0)\n((O \u2227 1) \u2227 (V \u2228 0)) \u2228 (1 \u2227 (\u00ac1))\n((V \u2228 0) \u2227 (O \u2227 1)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(O \u2227 (1 \u2227 (V \u2228 0))) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(((O \u2227 1) \u2227 V) \u2228 ((O \u2227 1) \u2227 0)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((O \u2227 1) \u2227 V) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((O \u2227 1) \u2227 (0 \u2228 V)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(O \u2227 (V \u2228 0)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((1 \u2227 O) \u2227 (V \u2228 0)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\nChosen: ((V \u2228 0) \u2227 (O \u2227 1)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac1)) \u2228 ((V \u2228 0) \u2227 (O \u2227 1))\n(((V \u2228 0) \u2227 (O \u2227 1)) \u2228 (\u00ac0)) \u2227 (((V \u2228 0) \u2227 (O \u2227 1)) \u2228 (\u00ac1))\n((V \u2228 0) \u2227 (O \u2227 1)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((V \u2228 0) \u2227 (O \u2227 1)) \u2228 ((\u00ac0) \u2227 0)\n((V \u2228 0) \u2227 (O \u2227 1)) \u2228 (1 \u2227 (\u00ac1))\n(((V \u2228 0) \u2227 O) \u2227 1) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((V \u2228 0) \u2227 O) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((V \u2228 0) \u2227 (1 \u2227 O)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(V \u2227 (O \u2227 1)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((0 \u2228 V) \u2227 (O \u2227 1)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\nChosen: ((V \u2228 0) \u2227 O) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac1)) \u2228 ((V \u2228 0) \u2227 O)\n(((V \u2228 0) \u2227 O) \u2228 (\u00ac0)) \u2227 (((V \u2228 0) \u2227 O) \u2228 (\u00ac1))\n((V \u2228 0) \u2227 O) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((V \u2228 0) \u2227 O) \u2228 ((\u00ac0) \u2227 0)\n((V \u2228 0) \u2227 O) \u2228 (1 \u2227 (\u00ac1))\n(O \u2227 (V \u2228 0)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(V \u2227 O) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((0 \u2228 V) \u2227 O) \u2228 ((\u00ac0) \u2227 (\u00ac1))\nChosen: (V \u2227 O) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (V \u2227 O)\n((V \u2227 O) \u2228 (\u00ac0)) \u2227 ((V \u2227 O) \u2228 (\u00ac1))\n(V \u2227 O) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n(V \u2227 O) \u2228 ((\u00ac0) \u2227 0)\n(V \u2227 O) \u2228 (1 \u2227 (\u00ac1))\n(O \u2227 V) \u2228 ((\u00ac0) \u2227 (\u00ac1))\nChosen: ((\u00ac0) \u2227 (\u00ac1)) \u2228 (V \u2227 O)\n\nOptions:\n(((\u00ac0) \u2227 (\u00ac1)) \u2228 V) \u2227 (((\u00ac0) \u2227 (\u00ac1)) \u2228 O)\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (O \u2227 V)\n((\u00ac1) \u2227 (\u00ac0)) \u2228 (V \u2227 O)\n((\u00ac0) \u2227 0) \u2228 (V \u2227 O)\n(1 \u2227 (\u00ac1)) \u2228 (V \u2227 O)\nChosen: (1 \u2227 (\u00ac1)) \u2228 (V \u2227 O)", "id": 1654}, {"char_len": 1724, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 4489, 3883, 512, 1209, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 53, 75078, 480, 1192, 7, 83193, 53, 8, 75078, 1819, 53, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 6054, 6774, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 16, 75078, 480, 595, 12264, 101, 11861, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 53, 12264, 101, 650, 8, 12264, 101, 320, 16, 75078, 480, 1192, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 11861, 16, 75078, 480, 8, 12264, 101, 650, 8, 12264, 101, 650, 340, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 38, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 38, 75078, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 53, 75078, 480, 8, 75078, 320, 83193, 53, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 1192, 6774, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 320, 38, 75078, 650, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1163, 8477, 25, 1819, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 696, 3883, 512, 1209, 16, 75078, 480, 8, 12264, 101, 650, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 53, 75078, 480, 1192, 7, 83193, 53, 8, 75078, 1819, 53, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 1192, 6774, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 16, 75078, 480, 595, 12264, 101, 11861, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 650, 340, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 53, 12264, 101, 320, 16, 75078, 480, 1192, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 320, 38, 12264, 101, 650, 340, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 480, 595, 75078, 1819, 38, 75078, 220, 16, 8, 12264, 101, 650, 340, 1209, 53, 75078, 480, 8, 75078, 320, 83193, 53, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 6774, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1209, 83193, 53, 8, 75078, 320, 38, 75078, 650, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1163, 8477, 25, 11861, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 696, 3883, 512, 1209, 16, 75078, 480, 8, 12264, 101, 650, 8, 75078, 11861, 83193, 53, 8, 75078, 650, 8, 75078, 480, 340, 1209, 83193, 53, 8, 75078, 650, 8, 75078, 320, 38, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 1192, 67944, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 320, 16, 75078, 480, 595, 12264, 101, 52200, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 650, 340, 6774, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 320, 53, 12264, 101, 320, 16, 75078, 480, 1192, 6774, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 320, 38, 12264, 101, 650, 340, 6774, 83193, 53, 8, 75078, 650, 8, 75078, 480, 8, 75078, 1819, 38, 75078, 220, 16, 8, 12264, 101, 650, 340, 6838, 75078, 1819, 83193, 53, 8, 75078, 650, 595, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 7, 15, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1209, 53, 75078, 320, 83193, 53, 595, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1163, 8477, 25, 320, 15, 75078, 480, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 696, 3883, 512, 1209, 16, 75078, 480, 8, 12264, 101, 650, 8, 75078, 320, 15, 75078, 480, 340, 15, 75078, 320, 38, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 1192, 1209, 15, 75078, 480, 8, 75078, 320, 16, 75078, 480, 595, 12264, 101, 1819, 15, 75078, 480, 8, 75078, 650, 340, 7, 15, 75078, 480, 8, 75078, 320, 53, 12264, 101, 320, 16, 75078, 480, 1192, 7, 15, 75078, 480, 8, 75078, 320, 38, 12264, 101, 650, 340, 7, 15, 75078, 480, 8, 75078, 1819, 38, 75078, 220, 16, 8, 12264, 101, 650, 340, 15, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 6838, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 480, 8, 12264, 101, 650, 340, 1163, 8477, 25, 320, 15, 75078, 480, 8, 75078, 320, 38, 12264, 101, 650, 696, 3883, 512, 6838, 12264, 101, 650, 8, 75078, 320, 15, 75078, 480, 340, 15, 75078, 320, 38, 75078, 320, 38, 12264, 101, 650, 1192, 1209, 15, 75078, 480, 8, 75078, 480, 8, 12264, 101, 1819, 15, 75078, 480, 8, 75078, 650, 340, 7, 15, 75078, 480, 8, 75078, 320, 53, 12264, 101, 480, 340, 15, 75078, 320, 38, 12264, 101, 650, 340, 6838, 75078, 220, 15, 8, 75078, 320, 38, 12264, 101, 650, 340, 1163, 8477, 25, 1819, 15, 75078, 480, 8, 75078, 480, 8, 12264, 101, 1819, 15, 75078, 480, 8, 75078, 650, 8], "tokenizer": "cl100k_base", "tokens_len": 984, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acV) \u2227 (V \u2227 G)) \u2227 ((1 \u2227 G) \u2228 (V \u2228 V))\n\nOptions:\n((1 \u2227 G) \u2228 (V \u2228 V)) \u2227 ((\u00acV) \u2227 (V \u2227 G))\n(\u00acV) \u2227 ((V \u2227 G) \u2227 ((1 \u2227 G) \u2228 (V \u2228 V)))\n(((\u00acV) \u2227 (V \u2227 G)) \u2227 (1 \u2227 G)) \u2228 (((\u00acV) \u2227 (V \u2227 G)) \u2227 (V \u2228 V))\n((\u00acV) \u2227 (V \u2227 G)) \u2227 ((V \u2228 V) \u2228 (1 \u2227 G))\n((\u00acV) \u2227 (V \u2227 G)) \u2227 (((1 \u2227 G) \u2228 V) \u2228 V)\n((\u00acV) \u2227 (V \u2227 G)) \u2227 ((1 \u2227 G) \u2228 V)\n((\u00acV) \u2227 (V \u2227 G)) \u2227 (G \u2228 (V \u2228 V))\n((\u00acV) \u2227 (V \u2227 G)) \u2227 ((G \u2227 1) \u2228 (V \u2228 V))\n((V \u2227 G) \u2227 (\u00acV)) \u2227 ((1 \u2227 G) \u2228 (V \u2228 V))\n(((\u00acV) \u2227 V) \u2227 G) \u2227 ((1 \u2227 G) \u2228 (V \u2228 V))\n((\u00acV) \u2227 (G \u2227 V)) \u2227 ((1 \u2227 G) \u2228 (V \u2228 V))\nChosen: ((\u00acV) \u2227 (V \u2227 G)) \u2227 ((1 \u2227 G) \u2228 V)\n\nOptions:\n((1 \u2227 G) \u2228 V) \u2227 ((\u00acV) \u2227 (V \u2227 G))\n(\u00acV) \u2227 ((V \u2227 G) \u2227 ((1 \u2227 G) \u2228 V))\n(((\u00acV) \u2227 (V \u2227 G)) \u2227 (1 \u2227 G)) \u2228 (((\u00acV) \u2227 (V \u2227 G)) \u2227 V)\n((\u00acV) \u2227 (V \u2227 G)) \u2227 (V \u2228 (1 \u2227 G))\n((\u00acV) \u2227 (V \u2227 G)) \u2227 (G \u2228 V)\n((\u00acV) \u2227 (V \u2227 G)) \u2227 ((G \u2227 1) \u2228 V)\n((V \u2227 G) \u2227 (\u00acV)) \u2227 ((1 \u2227 G) \u2228 V)\n(((\u00acV) \u2227 V) \u2227 G) \u2227 ((1 \u2227 G) \u2228 V)\n((\u00acV) \u2227 (G \u2227 V)) \u2227 ((1 \u2227 G) \u2228 V)\nChosen: (((\u00acV) \u2227 V) \u2227 G) \u2227 ((1 \u2227 G) \u2228 V)\n\nOptions:\n((1 \u2227 G) \u2228 V) \u2227 (((\u00acV) \u2227 V) \u2227 G)\n((\u00acV) \u2227 V) \u2227 (G \u2227 ((1 \u2227 G) \u2228 V))\n((((\u00acV) \u2227 V) \u2227 G) \u2227 (1 \u2227 G)) \u2228 ((((\u00acV) \u2227 V) \u2227 G) \u2227 V)\n(((\u00acV) \u2227 V) \u2227 G) \u2227 (V \u2228 (1 \u2227 G))\n(((\u00acV) \u2227 V) \u2227 G) \u2227 (G \u2228 V)\n(((\u00acV) \u2227 V) \u2227 G) \u2227 ((G \u2227 1) \u2228 V)\n(G \u2227 ((\u00acV) \u2227 V)) \u2227 ((1 \u2227 G) \u2228 V)\n(0 \u2227 G) \u2227 ((1 \u2227 G) \u2228 V)\n((V \u2227 (\u00acV)) \u2227 G) \u2227 ((1 \u2227 G) \u2228 V)\nChosen: (0 \u2227 G) \u2227 ((1 \u2227 G) \u2228 V)\n\nOptions:\n((1 \u2227 G) \u2228 V) \u2227 (0 \u2227 G)\n0 \u2227 (G \u2227 ((1 \u2227 G) \u2228 V))\n((0 \u2227 G) \u2227 (1 \u2227 G)) \u2228 ((0 \u2227 G) \u2227 V)\n(0 \u2227 G) \u2227 (V \u2228 (1 \u2227 G))\n(0 \u2227 G) \u2227 (G \u2228 V)\n(0 \u2227 G) \u2227 ((G \u2227 1) \u2228 V)\n0 \u2227 ((1 \u2227 G) \u2228 V)\n(G \u2227 0) \u2227 ((1 \u2227 G) \u2228 V)\nChosen: (0 \u2227 G) \u2227 (G \u2228 V)\n\nOptions:\n(G \u2228 V) \u2227 (0 \u2227 G)\n0 \u2227 (G \u2227 (G \u2228 V))\n((0 \u2227 G) \u2227 G) \u2228 ((0 \u2227 G) \u2227 V)\n(0 \u2227 G) \u2227 (V \u2228 G)\n0 \u2227 (G \u2228 V)\n(G \u2227 0) \u2227 (G \u2228 V)\nChosen: ((0 \u2227 G) \u2227 G) \u2228 ((0 \u2227 G) \u2227 V)", "id": 1655}, {"char_len": 656, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 47, 75078, 220, 15, 8, 75078, 320, 46, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 46, 75078, 220, 15, 1192, 83193, 1209, 46, 75078, 220, 15, 8, 75078, 320, 47, 75078, 220, 15, 1192, 83193, 6774, 47, 75078, 220, 15, 8, 75078, 507, 8, 75078, 220, 15, 340, 83193, 7, 47, 75078, 320, 15, 75078, 320, 46, 75078, 220, 15, 6054, 83193, 1209, 47, 75078, 220, 15, 8, 75078, 220, 15, 340, 83193, 1209, 47, 75078, 220, 15, 8, 75078, 320, 15, 75078, 507, 1192, 83193, 7, 15, 75078, 320, 46, 75078, 220, 15, 1192, 83193, 1209, 15, 75078, 393, 8, 75078, 320, 46, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 47, 75078, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 47, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 47, 75078, 220, 15, 1192, 83193, 7, 47, 75078, 320, 15, 75078, 220, 15, 1192, 83193, 7, 15, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 393, 8, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 47, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 47, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 83193, 1209, 15, 75078, 220, 15, 8, 75078, 393, 340, 83193, 7, 47, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 47, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 47, 340, 7, 83193, 47, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 47, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 47, 696, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 47, 340, 7, 83193, 15, 8, 12264, 101, 320, 83193, 47, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 47, 8], "tokenizer": "cl100k_base", "tokens_len": 379, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((P \u2227 0) \u2227 (O \u2227 0))\n\nOptions:\n(\u00ac(P \u2227 0)) \u2228 (\u00ac(O \u2227 0))\n\u00ac((O \u2227 0) \u2227 (P \u2227 0))\n\u00ac(((P \u2227 0) \u2227 O) \u2227 0)\n\u00ac(P \u2227 (0 \u2227 (O \u2227 0)))\n\u00ac((P \u2227 0) \u2227 0)\n\u00ac((P \u2227 0) \u2227 (0 \u2227 O))\n\u00ac(0 \u2227 (O \u2227 0))\n\u00ac((0 \u2227 P) \u2227 (O \u2227 0))\nChosen: \u00ac((P \u2227 0) \u2227 0)\n\nOptions:\n(\u00ac(P \u2227 0)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (P \u2227 0))\n\u00ac(P \u2227 (0 \u2227 0))\n\u00ac(0 \u2227 0)\n\u00ac((0 \u2227 P) \u2227 0)\nChosen: \u00ac(P \u2227 (0 \u2227 0))\n\nOptions:\n(\u00acP) \u2228 (\u00ac(0 \u2227 0))\n\u00ac((0 \u2227 0) \u2227 P)\n\u00ac(P \u2227 0)\nChosen: (\u00acP) \u2228 (\u00ac(0 \u2227 0))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2228 (\u00acP)\n(\u00acP) \u2228 ((\u00ac0) \u2228 (\u00ac0))\n(\u00acP) \u2228 (\u00ac0)\nChosen: (\u00ac(0 \u2227 0)) \u2228 (\u00acP)\n\nOptions:\n((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00acP)\n(\u00ac0) \u2228 (\u00acP)\nChosen: ((\u00ac0) \u2228 (\u00ac0)) \u2228 (\u00acP)", "id": 1656}, {"char_len": 183, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 15, 12264, 101, 220, 15, 4489, 3883, 512, 15, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 220, 15, 12264, 101, 220, 15, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 70, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(0 \u2228 0))\n\nOptions:\n0 \u2228 0\n\u00ac((\u00ac0) \u2227 (\u00ac0))\n\u00ac(\u00ac0)\nChosen: 0 \u2228 0\n\nOptions:\n0\nChosen: 0", "id": 1657}, {"char_len": 3002, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 4489, 3883, 512, 1209, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 6774, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 220, 15, 595, 12264, 101, 320, 45, 75078, 386, 340, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 45, 75078, 386, 8, 12264, 101, 320, 44, 12264, 101, 220, 15, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 15, 12264, 101, 320, 45, 75078, 386, 6054, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 11861, 44, 12264, 101, 220, 15, 8, 12264, 101, 452, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 44, 75078, 452, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 386, 8, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 6774, 44, 75078, 220, 15, 8, 75078, 386, 8, 75078, 220, 16, 8, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 3269, 75078, 320, 15, 75078, 320, 44, 75078, 220, 16, 7861, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 386, 8, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 7, 15, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 386, 1192, 1163, 8477, 25, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 4489, 3883, 512, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 6774, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 386, 8, 12264, 101, 320, 45, 75078, 386, 340, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 45, 75078, 386, 8, 12264, 101, 386, 340, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 44, 75078, 452, 1192, 1209, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 6774, 44, 75078, 220, 15, 8, 75078, 386, 8, 75078, 220, 16, 8, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 3269, 75078, 320, 15, 75078, 320, 44, 75078, 220, 16, 7861, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 386, 8, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 7, 15, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 320, 44, 12264, 101, 320, 45, 75078, 386, 1192, 1163, 8477, 25, 320, 44, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 4489, 3883, 512, 44, 12264, 101, 1819, 45, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 6054, 1209, 44, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 320, 44, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 320, 44, 75078, 220, 16, 1192, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 11861, 44, 75078, 220, 15, 8, 75078, 386, 8, 75078, 220, 16, 340, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 320, 44, 75078, 320, 15, 75078, 320, 44, 75078, 220, 16, 6054, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 386, 340, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 16, 75078, 386, 1192, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 320, 15, 75078, 320, 44, 75078, 220, 16, 1192, 3269, 12264, 101, 320, 45, 75078, 386, 595, 12264, 101, 1819, 15, 75078, 386, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 45, 75078, 386, 8, 12264, 101, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 3269, 12264, 101, 320, 44, 75078, 452, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 4489, 3883, 512, 1209, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 1192, 6774, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 220, 15, 595, 75078, 11861, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 11861, 44, 75078, 220, 15, 8, 75078, 386, 8, 75078, 220, 16, 340, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 320, 15, 75078, 320, 44, 75078, 220, 16, 6054, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 386, 340, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 16, 75078, 386, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 15, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 15, 75078, 386, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 452, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 6774, 44, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 12264, 101, 452, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1209, 45, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 15, 8, 75078, 320, 44, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 4489, 3883, 512, 1209, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 595, 12264, 101, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 1192, 6774, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 220, 16, 595, 75078, 11861, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 11861, 44, 75078, 220, 16, 8, 75078, 386, 8, 75078, 220, 15, 340, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 320, 16, 75078, 320, 44, 75078, 220, 15, 6054, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 15, 75078, 386, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 16, 75078, 386, 8, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 452, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 6774, 44, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 12264, 101, 452, 8, 75078, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 452, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 1209, 45, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 320, 44, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 452, 8, 75078, 320, 44, 12264, 101, 386, 595, 12264, 101, 320, 44, 75078, 320, 44, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1902, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n\nOptions:\n((M \u2228 0) \u2228 (N \u2227 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n(((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (M \u2228 0)) \u2228 (N \u2227 M)\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((N \u2227 M) \u2228 (M \u2228 0))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (M \u2228 (0 \u2228 (N \u2227 M)))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (((M \u2228 0) \u2228 N) \u2227 ((M \u2228 0) \u2228 M))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((M \u2228 0) \u2228 (M \u2227 N))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (M \u2228 (N \u2227 M))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((0 \u2228 M) \u2228 (N \u2227 M))\n((M \u2227 1) \u2227 (M \u2227 0)) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n(((M \u2227 0) \u2227 M) \u2227 1) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n(M \u2227 (0 \u2227 (M \u2227 1))) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n((M \u2227 0) \u2227 M) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n((M \u2227 0) \u2227 (1 \u2227 M)) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n(0 \u2227 (M \u2227 1)) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\n((0 \u2227 M) \u2227 (M \u2227 1)) \u2228 ((M \u2228 0) \u2228 (N \u2227 M))\nChosen: ((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (M \u2228 (N \u2227 M))\n\nOptions:\n(M \u2228 (N \u2227 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n(((M \u2227 0) \u2227 (M \u2227 1)) \u2228 M) \u2228 (N \u2227 M)\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((N \u2227 M) \u2228 M)\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((M \u2228 N) \u2227 (M \u2228 M))\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 (M \u2228 (M \u2227 N))\n((M \u2227 1) \u2227 (M \u2227 0)) \u2228 (M \u2228 (N \u2227 M))\n(((M \u2227 0) \u2227 M) \u2227 1) \u2228 (M \u2228 (N \u2227 M))\n(M \u2227 (0 \u2227 (M \u2227 1))) \u2228 (M \u2228 (N \u2227 M))\n((M \u2227 0) \u2227 M) \u2228 (M \u2228 (N \u2227 M))\n((M \u2227 0) \u2227 (1 \u2227 M)) \u2228 (M \u2228 (N \u2227 M))\n(0 \u2227 (M \u2227 1)) \u2228 (M \u2228 (N \u2227 M))\n((0 \u2227 M) \u2227 (M \u2227 1)) \u2228 (M \u2228 (N \u2227 M))\nChosen: (M \u2228 (N \u2227 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n\nOptions:\nM \u2228 ((N \u2227 M) \u2228 ((M \u2227 0) \u2227 (M \u2227 1)))\n((M \u2228 (N \u2227 M)) \u2228 (M \u2227 0)) \u2227 ((M \u2228 (N \u2227 M)) \u2228 (M \u2227 1))\n(M \u2228 (N \u2227 M)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n(M \u2228 (N \u2227 M)) \u2228 (((M \u2227 0) \u2227 M) \u2227 1)\n(M \u2228 (N \u2227 M)) \u2228 (M \u2227 (0 \u2227 (M \u2227 1)))\n(M \u2228 (N \u2227 M)) \u2228 ((M \u2227 0) \u2227 M)\n(M \u2228 (N \u2227 M)) \u2228 ((M \u2227 0) \u2227 (1 \u2227 M))\n(M \u2228 (N \u2227 M)) \u2228 (0 \u2227 (M \u2227 1))\n(M \u2228 (N \u2227 M)) \u2228 ((0 \u2227 M) \u2227 (M \u2227 1))\n((N \u2227 M) \u2228 M) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n(M \u2228 (M \u2227 N)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\nChosen: ((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n\nOptions:\n((M \u2227 0) \u2227 (M \u2227 1)) \u2228 ((M \u2228 N) \u2227 (M \u2228 M))\n(((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 0)) \u2227 (((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 1))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (((M \u2227 0) \u2227 M) \u2227 1)\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 (0 \u2227 (M \u2227 1)))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 0) \u2227 M)\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 0) \u2227 (1 \u2227 M))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (0 \u2227 (M \u2227 1))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((0 \u2227 M) \u2227 (M \u2227 1))\n((M \u2228 M) \u2227 (M \u2228 N)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n(((M \u2228 N) \u2227 M) \u2228 ((M \u2228 N) \u2227 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n((M \u2228 N) \u2227 M) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\n((N \u2228 M) \u2227 (M \u2228 M)) \u2228 ((M \u2227 0) \u2227 (M \u2227 1))\nChosen: ((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n\nOptions:\n((M \u2227 1) \u2227 (M \u2227 0)) \u2228 ((M \u2228 N) \u2227 (M \u2228 M))\n(((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 1)) \u2227 (((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 0))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (((M \u2227 1) \u2227 M) \u2227 0)\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 (1 \u2227 (M \u2227 0)))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 1) \u2227 0)\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((M \u2227 1) \u2227 (0 \u2227 M))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 (M \u2227 0))\n((M \u2228 N) \u2227 (M \u2228 M)) \u2228 ((1 \u2227 M) \u2227 (M \u2227 0))\n((M \u2228 M) \u2227 (M \u2228 N)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n(((M \u2228 N) \u2227 M) \u2228 ((M \u2228 N) \u2227 M)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n((M \u2228 N) \u2227 M) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\n((N \u2228 M) \u2227 (M \u2228 M)) \u2228 ((M \u2227 1) \u2227 (M \u2227 0))\nChosen: ((M \u2228 N) \u2227 (M \u2228 M)) \u2228 (M \u2227 (M \u2227 0))", "id": 1658}, {"char_len": 1469, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 54, 75078, 220, 16, 8, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 1819, 54, 75078, 220, 16, 8, 75078, 320, 56, 12264, 101, 220, 15, 1192, 1209, 54, 75078, 220, 16, 8, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 54, 75078, 220, 16, 8, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 220, 16, 8, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 54, 75078, 220, 15, 1192, 1209, 56, 12264, 101, 220, 15, 8, 75078, 320, 54, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 14358, 75078, 320, 16, 75078, 320, 56, 12264, 101, 220, 15, 7861, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 6774, 54, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 54, 75078, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1209, 54, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1209, 54, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 14358, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1209, 16, 75078, 468, 8, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1163, 8477, 25, 320, 54, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 320, 54, 75078, 320, 56, 12264, 101, 220, 15, 1192, 14358, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 54, 1192, 14358, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 14358, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 54, 75078, 220, 15, 1192, 1209, 56, 12264, 101, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1209, 54, 75078, 816, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 14358, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 14358, 75078, 320, 15, 12264, 101, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 468, 1192, 1163, 8477, 25, 320, 54, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 54, 75078, 320, 56, 12264, 101, 220, 15, 1192, 14358, 75078, 320, 56, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 198, 1209, 56, 12264, 101, 220, 15, 8, 75078, 468, 8, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 816, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 14358, 75078, 816, 8, 12264, 101, 320, 83193, 15, 340, 14358, 75078, 320, 15, 12264, 101, 816, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 54, 75078, 816, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 54, 75078, 816, 8, 12264, 101, 320, 54, 75078, 220, 15, 1192, 14358, 75078, 816, 8, 12264, 101, 1819, 54, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 54, 75078, 816, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 1209, 54, 75078, 220, 15, 8, 12264, 101, 320, 54, 75078, 816, 595, 12264, 101, 320, 83193, 15, 340, 6774, 54, 75078, 816, 8, 12264, 101, 468, 8, 75078, 1819, 54, 75078, 816, 8, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 816, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 816, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 320, 83193, 15, 340, 1209, 56, 75078, 468, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 54, 75078, 816, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 54, 75078, 816, 8, 12264, 101, 320, 15, 75078, 468, 1192, 14358, 75078, 816, 8, 12264, 101, 1819, 15, 75078, 468, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 54, 75078, 816, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 220, 16, 198, 1209, 15, 75078, 468, 8, 12264, 101, 320, 54, 75078, 816, 595, 12264, 101, 320, 83193, 15, 340, 6774, 54, 75078, 816, 8, 12264, 101, 220, 15, 8, 75078, 1819, 54, 75078, 816, 8, 12264, 101, 468, 595, 12264, 101, 320, 83193, 15, 340, 1209, 54, 75078, 816, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 15, 340, 1209, 56, 75078, 468, 8, 12264, 101, 320, 15, 75078, 468, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 11861, 54, 75078, 816, 8, 12264, 101, 220, 15, 8, 75078, 1819, 54, 75078, 816, 8, 12264, 101, 468, 595, 12264, 101, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 928, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((W \u2227 1) \u2227 (Y \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\n\nOptions:\n(\u00ac(0 \u2227 W)) \u2228 ((W \u2227 1) \u2227 (Y \u2228 0))\n((W \u2227 1) \u2227 (Y \u2228 0)) \u2228 ((\u00ac0) \u2228 (\u00acW))\n((W \u2227 1) \u2227 (Y \u2228 0)) \u2228 (\u00ac0)\n((W \u2227 1) \u2227 (Y \u2228 0)) \u2228 (\u00ac(W \u2227 0))\n((Y \u2228 0) \u2227 (W \u2227 1)) \u2228 (\u00ac(0 \u2227 W))\n(W \u2227 (1 \u2227 (Y \u2228 0))) \u2228 (\u00ac(0 \u2227 W))\n(((W \u2227 1) \u2227 Y) \u2228 ((W \u2227 1) \u2227 0)) \u2228 (\u00ac(0 \u2227 W))\n((W \u2227 1) \u2227 Y) \u2228 (\u00ac(0 \u2227 W))\n((W \u2227 1) \u2227 (0 \u2228 Y)) \u2228 (\u00ac(0 \u2227 W))\n(W \u2227 (Y \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\n((1 \u2227 W) \u2227 (Y \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\nChosen: (W \u2227 (Y \u2228 0)) \u2228 (\u00ac(0 \u2227 W))\n\nOptions:\n(\u00ac(0 \u2227 W)) \u2228 (W \u2227 (Y \u2228 0))\n(W \u2227 (Y \u2228 0)) \u2228 ((\u00ac0) \u2228 (\u00acW))\n(W \u2227 (Y \u2228 0)) \u2228 (\u00ac0)\n(W \u2227 (Y \u2228 0)) \u2228 (\u00ac(W \u2227 0))\n((Y \u2228 0) \u2227 W) \u2228 (\u00ac(0 \u2227 W))\n((W \u2227 Y) \u2228 (W \u2227 0)) \u2228 (\u00ac(0 \u2227 W))\n(W \u2227 Y) \u2228 (\u00ac(0 \u2227 W))\n(W \u2227 (0 \u2228 Y)) \u2228 (\u00ac(0 \u2227 W))\nChosen: (W \u2227 (Y \u2228 0)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (W \u2227 (Y \u2228 0))\n(W \u2227 (Y \u2228 0)) \u2228 1\n((Y \u2228 0) \u2227 W) \u2228 (\u00ac0)\n((W \u2227 Y) \u2228 (W \u2227 0)) \u2228 (\u00ac0)\n(W \u2227 Y) \u2228 (\u00ac0)\n(W \u2227 (0 \u2228 Y)) \u2228 (\u00ac0)\nChosen: ((W \u2227 Y) \u2228 (W \u2227 0)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((W \u2227 Y) \u2228 (W \u2227 0))\n(W \u2227 Y) \u2228 ((W \u2227 0) \u2228 (\u00ac0))\n((W \u2227 Y) \u2228 (W \u2227 0)) \u2228 1\n((W \u2227 0) \u2228 (W \u2227 Y)) \u2228 (\u00ac0)\n(((W \u2227 Y) \u2228 W) \u2227 ((W \u2227 Y) \u2228 0)) \u2228 (\u00ac0)\n((W \u2227 Y) \u2228 0) \u2228 (\u00ac0)\n((W \u2227 Y) \u2228 (0 \u2227 W)) \u2228 (\u00ac0)\n((Y \u2227 W) \u2228 (W \u2227 0)) \u2228 (\u00ac0)\nChosen: ((W \u2227 Y) \u2228 (0 \u2227 W)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((W \u2227 Y) \u2228 (0 \u2227 W))\n(W \u2227 Y) \u2228 ((0 \u2227 W) \u2228 (\u00ac0))\n((W \u2227 Y) \u2228 (0 \u2227 W)) \u2228 1\n((0 \u2227 W) \u2228 (W \u2227 Y)) \u2228 (\u00ac0)\n(((W \u2227 Y) \u2228 0) \u2227 ((W \u2227 Y) \u2228 W)) \u2228 (\u00ac0)\n((W \u2227 Y) \u2228 0) \u2228 (\u00ac0)\n((Y \u2227 W) \u2228 (0 \u2227 W)) \u2228 (\u00ac0)\nChosen: (((W \u2227 Y) \u2228 0) \u2227 ((W \u2227 Y) \u2228 W)) \u2228 (\u00ac0)", "id": 1659}, {"char_len": 1709, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 34, 12264, 101, 356, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 34, 12264, 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101, 220, 15, 595, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 1819, 34, 12264, 101, 356, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 6054, 7, 15, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 6054, 7, 15, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 34, 12264, 101, 356, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 3100, 12264, 101, 356, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 34, 12264, 101, 356, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 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12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1196, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2228 (C \u2228 C)) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00ac1)) \u2228 ((\u00ac1) \u2228 (C \u2228 C))\n(((\u00ac1) \u2228 (C \u2228 C)) \u2228 (1 \u2228 0)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((C \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1)))\n((\u00ac1) \u2228 (C \u2228 C)) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n((\u00ac1) \u2228 (C \u2228 C)) \u2228 (1 \u2228 (0 \u2228 (\u00ac1)))\n((\u00ac1) \u2228 (C \u2228 C)) \u2228 ((1 \u2228 0) \u2228 0)\n((\u00ac1) \u2228 (C \u2228 C)) \u2228 (1 \u2228 (\u00ac1))\n((\u00ac1) \u2228 (C \u2228 C)) \u2228 ((0 \u2228 1) \u2228 (\u00ac1))\n((C \u2228 C) \u2228 (\u00ac1)) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n(((\u00ac1) \u2228 C) \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n((\u00ac1) \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n(0 \u2228 (C \u2228 C)) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\nChosen: (0 \u2228 (C \u2228 C)) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00ac1)) \u2228 (0 \u2228 (C \u2228 C))\n((0 \u2228 (C \u2228 C)) \u2228 (1 \u2228 0)) \u2228 (\u00ac1)\n0 \u2228 ((C \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1)))\n(0 \u2228 (C \u2228 C)) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n(0 \u2228 (C \u2228 C)) \u2228 (1 \u2228 (0 \u2228 (\u00ac1)))\n(0 \u2228 (C \u2228 C)) \u2228 ((1 \u2228 0) \u2228 0)\n(0 \u2228 (C \u2228 C)) \u2228 (1 \u2228 (\u00ac1))\n(0 \u2228 (C \u2228 C)) \u2228 ((0 \u2228 1) \u2228 (\u00ac1))\n(C \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n((C \u2228 C) \u2228 0) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n((0 \u2228 C) \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n(0 \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\nChosen: (C \u2228 C) \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00ac1)) \u2228 (C \u2228 C)\n((C \u2228 C) \u2228 (1 \u2228 0)) \u2228 (\u00ac1)\nC \u2228 (C \u2228 ((1 \u2228 0) \u2228 (\u00ac1)))\n(C \u2228 C) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n(C \u2228 C) \u2228 (1 \u2228 (0 \u2228 (\u00ac1)))\n(C \u2228 C) \u2228 ((1 \u2228 0) \u2228 0)\n(C \u2228 C) \u2228 (1 \u2228 (\u00ac1))\n(C \u2228 C) \u2228 ((0 \u2228 1) \u2228 (\u00ac1))\nC \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\nChosen: (C \u2228 C) \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2228 0)) \u2228 (C \u2228 C)\n((C \u2228 C) \u2228 (\u00ac1)) \u2228 (1 \u2228 0)\nC \u2228 (C \u2228 ((\u00ac1) \u2228 (1 \u2228 0)))\n(C \u2228 C) \u2228 (((\u00ac1) \u2228 1) \u2228 0)\n(C \u2228 C) \u2228 ((\u00ac1) \u2228 1)\n(C \u2228 C) \u2228 ((\u00ac1) \u2228 (0 \u2228 1))\n(C \u2228 C) \u2228 (0 \u2228 (1 \u2228 0))\nC \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\nChosen: C \u2228 ((\u00ac1) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2228 0)) \u2228 C\n(C \u2228 (\u00ac1)) \u2228 (1 \u2228 0)\nC \u2228 ((1 \u2228 0) \u2228 (\u00ac1))\nC \u2228 (((\u00ac1) \u2228 1) \u2228 0)\nC \u2228 ((\u00ac1) \u2228 1)\nC \u2228 ((\u00ac1) \u2228 (0 \u2228 1))\nC \u2228 (0 \u2228 (1 \u2228 0))\nChosen: C \u2228 ((\u00ac1) \u2228 (0 \u2228 1))", "id": 1660}, {"char_len": 5615, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 1192, 3100, 75078, 220, 16, 8, 75078, 1819, 83193, 46, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 83193, 15, 1192, 1209, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 15, 8, 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75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 220, 16, 8, 75078, 1819, 83193, 46, 8, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 83193, 46, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 16, 75078, 356, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 1163, 8477, 25, 52200, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 696, 3883, 512, 1209, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 52200, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 1192, 6774, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 52200, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 1192, 1209, 6774, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 320, 34, 75078, 320, 83193, 46, 7861, 75078, 11861, 1209, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 320, 34, 75078, 320, 83193, 46, 1192, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 34, 75078, 320, 83193, 46, 6054, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 320, 34, 75078, 1819, 83193, 46, 8, 75078, 220, 16, 1192, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 46, 8, 75078, 356, 8, 75078, 220, 16, 340, 1209, 6774, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 75078, 52200, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 26843, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 220, 16, 8, 75078, 1819, 83193, 46, 8, 75078, 220, 16, 7861, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 46, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 16, 75078, 356, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 1209, 16, 75078, 1819, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 220, 16, 8, 75078, 1819, 83193, 46, 8, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 83193, 46, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 6774, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 67944, 16, 75078, 356, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 34, 75078, 220, 16, 8, 75078, 1819, 83193, 46, 8, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 75078, 220, 16, 595, 12264, 101, 1819, 34, 75078, 320, 83193, 46, 595, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 3605, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((C \u2227 1) \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00ac0)) \u2227 ((C \u2227 1) \u2227 (\u00acO))\n(C \u2227 1) \u2227 ((\u00acO) \u2227 ((1 \u2228 1) \u2228 (\u00ac0)))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 (\u00ac0))\n((C \u2227 1) \u2227 (\u00acO)) \u2227 ((\u00ac0) \u2228 (1 \u2228 1))\n((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 (1 \u2228 (\u00ac0)))\n((C \u2227 1) \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 1)\n((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 (\u00ac0))\n((\u00acO) \u2227 (C \u2227 1)) \u2227 ((1 \u2228 1) \u2228 (\u00ac0))\n(C \u2227 (1 \u2227 (\u00acO))) \u2227 ((1 \u2228 1) \u2228 (\u00ac0))\n(C \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 (\u00ac0))\n((1 \u2227 C) \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 (\u00ac0))\nChosen: ((C \u2227 1) \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 1)\n\nOptions:\n((1 \u2228 1) \u2228 1) \u2227 ((C \u2227 1) \u2227 (\u00acO))\n(C \u2227 1) \u2227 ((\u00acO) \u2227 ((1 \u2228 1) \u2228 1))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((C \u2227 1) \u2227 (\u00acO)) \u2227 1\n((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 (1 \u2228 1))\n((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)\n((\u00acO) \u2227 (C \u2227 1)) \u2227 ((1 \u2228 1) \u2228 1)\n(C \u2227 (1 \u2227 (\u00acO))) \u2227 ((1 \u2228 1) \u2228 1)\n(C \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 1)\n((1 \u2227 C) \u2227 (\u00acO)) \u2227 ((1 \u2228 1) \u2228 1)\nChosen: (((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n\nOptions:\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2227 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 ((C \u2227 1) \u2227 (\u00acO))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (1 \u2227 ((C \u2227 1) \u2227 (\u00acO)))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 ((C \u2227 1) \u2227 ((\u00acO) \u2227 1))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((\u00acO) \u2227 (C \u2227 1)) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 ((C \u2227 (1 \u2227 (\u00acO))) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((1 \u2227 C) \u2227 (\u00acO)) \u2227 1)\n((1 \u2228 1) \u2227 ((C \u2227 1) \u2227 (\u00acO))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((C \u2227 1) \u2227 ((\u00acO) \u2227 (1 \u2228 1))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((\u00acO) \u2227 (C \u2227 1)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((C \u2227 (1 \u2227 (\u00acO))) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((C \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((1 \u2227 C) \u2227 (\u00acO)) \u2227 (1 \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\nChosen: ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n\nOptions:\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1))\n(((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2227 (((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 1) \u2227 (\u00acO))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (1 \u2227 ((C \u2227 1) \u2227 (\u00acO)))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 1) \u2227 ((\u00acO) \u2227 1))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((\u00acO) \u2227 (C \u2227 1)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (1 \u2227 (\u00acO))) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((1 \u2227 C) \u2227 (\u00acO)) \u2227 1)\n(((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2227 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (1 \u2227 ((C \u2227 1) \u2227 (\u00acO)))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 ((\u00acO) \u2227 1))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((\u00acO) \u2227 (C \u2227 1)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 (1 \u2227 (\u00acO))) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((1 \u2227 C) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((1 \u2227 ((C \u2227 1) \u2227 (\u00acO))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 ((\u00acO) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((\u00acO) \u2227 (C \u2227 1)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 (1 \u2227 (\u00acO))) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\n((((1 \u2227 C) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)\nChosen: ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n\nOptions:\n((C \u2227 (\u00acO)) \u2227 1) \u2228 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1))\n(((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 (\u00acO)) \u2227 1))\n(((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (C \u2227 (\u00acO))) \u2227 (((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (C \u2227 (\u00acO))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (1 \u2227 (C \u2227 (\u00acO)))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (C \u2227 ((\u00acO) \u2227 1))\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 (((\u00acO) \u2227 C) \u2227 1)\n(((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2227 ((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 (\u00acO))) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (1 \u2227 ((C \u2227 1) \u2227 (\u00acO)))) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 1) \u2227 ((\u00acO) \u2227 1))) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((\u00acO) \u2227 (C \u2227 1)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 (1 \u2227 (\u00acO))) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 ((C \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((C \u2227 1) \u2227 (\u00acO)) \u2227 1) \u2228 (((1 \u2227 C) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 (\u00acO)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((1 \u2227 ((C \u2227 1) \u2227 (\u00acO))) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 1) \u2227 ((\u00acO) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((\u00acO) \u2227 (C \u2227 1)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 (1 \u2227 (\u00acO))) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n(((C \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\n((((1 \u2227 C) \u2227 (\u00acO)) \u2227 1) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)\nChosen: (((C \u2227 1) \u2227 ((\u00acO) \u2227 1)) \u2228 (((C \u2227 1) \u2227 (\u00acO)) \u2227 1)) \u2228 ((C \u2227 (\u00acO)) \u2227 1)", "id": 1661}, {"char_len": 313, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 7, 83193, 7, 83193, 38, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 15, 340, 38, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 38, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 38, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 83193, 38, 4489, 3883, 512, 16, 198, 16, 12264, 101, 480, 198, 1163, 8477, 25, 220, 16, 12264, 101, 480, 271, 3883, 512, 16, 198, 38, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 159, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acG)) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acG))\n(\u00ac(\u00acG)) \u2228 1\n(\u00ac(\u00acG)) \u2228 (\u00ac0)\nG \u2228 (\u00ac(\u00ac1))\nChosen: (\u00ac(\u00acG)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(\u00acG))\nG \u2228 1\nChosen: 1 \u2228 (\u00ac(\u00acG))\n\nOptions:\n1\n1 \u2228 G\nChosen: 1 \u2228 G\n\nOptions:\n1\nG \u2228 1\nChosen: 1", "id": 1662}, {"char_len": 201, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 15, 75078, 432, 4489, 3883, 512, 15, 75078, 432, 198, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 49, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 49, 75078, 220, 15, 1192, 1163, 8477, 25, 220, 15, 75078, 432, 271, 3883, 512, 15, 198, 49, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 79, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(0 \u2227 R))\n\nOptions:\n0 \u2227 R\n\u00ac((\u00ac0) \u2228 (\u00acR))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(R \u2227 0))\nChosen: 0 \u2227 R\n\nOptions:\n0\nR \u2227 0\nChosen: 0", "id": 1663}, {"char_len": 722, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 54, 4489, 3883, 512, 7, 83193, 7, 83193, 54, 595, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 468, 198, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 54, 4489, 3883, 512, 7, 83193, 7, 83193, 54, 595, 12264, 101, 320, 15, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 468, 198, 15, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 7, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 54, 595, 12264, 101, 320, 15, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 7, 83193, 54, 595, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 7, 83193, 54, 595, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 54, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 54, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 7, 83193, 7, 83193, 54, 595, 12264, 101, 320, 15, 75078, 220, 16, 340, 54, 12264, 101, 320, 15, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 468, 12264, 101, 320, 15, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 15, 595, 12264, 101, 468, 198, 14358, 12264, 101, 220, 15, 8, 75078, 320, 54, 12264, 101, 320, 83193, 15, 1192, 54, 12264, 101, 220, 15, 198, 54, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 340, 54, 12264, 101, 320, 15, 75078, 220, 16, 340, 1163, 8477, 25, 468, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 468, 198, 14358, 12264, 101, 320, 83193, 15, 595, 75078, 320, 54, 12264, 101, 220, 15, 340, 54, 12264, 101, 220, 15, 198, 54, 12264, 101, 320, 16, 75078, 220, 15, 340, 1163, 8477, 25, 468, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 443, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 0) \u2227 (\u00ac0)) \u2228 (\u00ac(\u00acW))\n\nOptions:\n(\u00ac(\u00acW)) \u2228 ((0 \u2228 0) \u2227 (\u00ac0))\n((0 \u2228 0) \u2227 (\u00ac0)) \u2228 W\n((\u00ac0) \u2227 (0 \u2228 0)) \u2228 (\u00ac(\u00acW))\n((0 \u2228 0) \u2227 1) \u2228 (\u00ac(\u00acW))\n(0 \u2227 (\u00ac0)) \u2228 (\u00ac(\u00acW))\nChosen: (0 \u2227 (\u00ac0)) \u2228 (\u00ac(\u00acW))\n\nOptions:\n(\u00ac(\u00acW)) \u2228 (0 \u2227 (\u00ac0))\n(0 \u2227 (\u00ac0)) \u2228 W\n0 \u2228 (\u00ac(\u00acW))\n((\u00ac0) \u2227 0) \u2228 (\u00ac(\u00acW))\n(0 \u2227 1) \u2228 (\u00ac(\u00acW))\nChosen: (\u00ac(\u00acW)) \u2228 (0 \u2227 (\u00ac0))\n\nOptions:\n((\u00ac(\u00acW)) \u2228 0) \u2227 ((\u00ac(\u00acW)) \u2228 (\u00ac0))\n(\u00ac(\u00acW)) \u2228 0\n(\u00ac(\u00acW)) \u2228 ((\u00ac0) \u2227 0)\n(\u00ac(\u00acW)) \u2228 (0 \u2227 1)\nW \u2228 (0 \u2227 (\u00ac0))\nChosen: W \u2228 (0 \u2227 (\u00ac0))\n\nOptions:\n(0 \u2227 (\u00ac0)) \u2228 W\n(W \u2228 0) \u2227 (W \u2228 (\u00ac0))\nW \u2228 0\nW \u2228 ((\u00ac0) \u2227 0)\nW \u2228 (0 \u2227 1)\nChosen: W \u2228 ((\u00ac0) \u2227 0)\n\nOptions:\n((\u00ac0) \u2227 0) \u2228 W\n(W \u2228 (\u00ac0)) \u2227 (W \u2228 0)\nW \u2228 0\nW \u2228 (1 \u2227 0)\nChosen: W \u2228 0", "id": 1664}, {"char_len": 1886, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 4489, 3883, 512, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 1192, 6774, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 320, 83193, 57, 595, 75078, 320, 57, 12264, 101, 1901, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 57, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 11861, 83193, 57, 8, 75078, 1901, 8, 12264, 101, 1819, 83193, 57, 8, 75078, 1901, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 83193, 57, 8, 75078, 1901, 340, 1209, 15, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 6774, 16, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 57, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 4489, 3883, 512, 7, 83193, 57, 8, 75078, 1819, 57, 12264, 101, 1901, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 1901, 6054, 6774, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 11861, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1819, 15, 12264, 101, 1901, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 11861, 16, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 1901, 340, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1819, 16, 75078, 220, 15, 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101, 1901, 340, 1209, 83193, 57, 8, 75078, 1901, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1901, 340, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 320, 15, 12264, 101, 1901, 696, 3883, 512, 7, 15, 12264, 101, 1901, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 7, 83193, 57, 8, 75078, 1819, 57, 12264, 101, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 6774, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1901, 340, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1901, 198, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 320, 57, 12264, 101, 220, 15, 340, 1209, 57, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 320, 15, 12264, 101, 1901, 340, 6774, 83193, 57, 8, 75078, 1901, 8, 12264, 101, 1819, 83193, 57, 8, 75078, 1901, 595, 75078, 320, 15, 12264, 101, 1901, 340, 1209, 83193, 57, 8, 75078, 1901, 8, 75078, 320, 15, 12264, 101, 1901, 340, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 595, 75078, 1901, 271, 3883, 512, 57, 75078, 1819, 83193, 57, 8, 75078, 320, 57, 12264, 101, 1901, 1192, 7, 83193, 57, 8, 75078, 1819, 57, 12264, 101, 1901, 8, 75078, 1901, 340, 1209, 57, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 1901, 198, 6774, 83193, 57, 8, 75078, 1901, 8, 12264, 101, 1819, 83193, 57, 8, 75078, 1901, 595, 75078, 1901, 198, 1209, 83193, 57, 8, 75078, 1901, 8, 75078, 1901, 198, 1163, 8477, 25, 320, 83193, 57, 8, 75078, 1819, 57, 12264, 101, 1901, 8, 75078, 1901, 8], "tokenizer": "cl100k_base", "tokens_len": 1169, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 0) \u2228 (0 \u2228 Z)) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n\nOptions:\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z))\n(((1 \u2227 0) \u2228 (0 \u2228 Z)) \u2227 (\u00acZ)) \u2227 (Z \u2228 Z)\n((1 \u2227 0) \u2228 (0 \u2228 Z)) \u2227 ((Z \u2228 Z) \u2227 (\u00acZ))\n((1 \u2227 0) \u2228 (0 \u2228 Z)) \u2227 (((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 Z))\n((1 \u2227 0) \u2228 (0 \u2228 Z)) \u2227 ((\u00acZ) \u2227 Z)\n((0 \u2228 Z) \u2228 (1 \u2227 0)) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n(((1 \u2227 0) \u2228 0) \u2228 Z) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n((1 \u2227 0) \u2228 Z) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n((1 \u2227 0) \u2228 (Z \u2228 0)) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n(0 \u2228 (0 \u2228 Z)) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n((0 \u2227 1) \u2228 (0 \u2228 Z)) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\nChosen: ((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z))\n\nOptions:\n(\u00acZ) \u2227 ((Z \u2228 Z) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z)))\n(((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (1 \u2227 0)) \u2228 (((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (0 \u2228 Z))\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((0 \u2228 Z) \u2228 (1 \u2227 0))\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (((1 \u2227 0) \u2228 0) \u2228 Z)\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((1 \u2227 0) \u2228 Z)\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((1 \u2227 0) \u2228 (Z \u2228 0))\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (0 \u2228 (0 \u2228 Z))\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((0 \u2227 1) \u2228 (0 \u2228 Z))\n((Z \u2228 Z) \u2227 (\u00acZ)) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z))\n(((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 Z)) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z))\n((\u00acZ) \u2227 Z) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 Z))\nChosen: ((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((1 \u2227 0) \u2228 Z)\n\nOptions:\n((1 \u2227 0) \u2228 Z) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n(\u00acZ) \u2227 ((Z \u2228 Z) \u2227 ((1 \u2227 0) \u2228 Z))\n(((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (1 \u2227 0)) \u2228 (((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 Z)\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (Z \u2228 (1 \u2227 0))\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (0 \u2228 Z)\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 ((0 \u2227 1) \u2228 Z)\n((Z \u2228 Z) \u2227 (\u00acZ)) \u2227 ((1 \u2227 0) \u2228 Z)\n(((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 Z)) \u2227 ((1 \u2227 0) \u2228 Z)\n((\u00acZ) \u2227 Z) \u2227 ((1 \u2227 0) \u2228 Z)\nChosen: ((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (0 \u2228 Z)\n\nOptions:\n(0 \u2228 Z) \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n(\u00acZ) \u2227 ((Z \u2228 Z) \u2227 (0 \u2228 Z))\n(((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 0) \u2228 (((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 Z)\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 Z\n((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 (Z \u2228 0)\n((Z \u2228 Z) \u2227 (\u00acZ)) \u2227 (0 \u2228 Z)\n(((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 Z)) \u2227 (0 \u2228 Z)\n((\u00acZ) \u2227 Z) \u2227 (0 \u2228 Z)\nChosen: ((\u00acZ) \u2227 (Z \u2228 Z)) \u2227 Z\n\nOptions:\nZ \u2227 ((\u00acZ) \u2227 (Z \u2228 Z))\n(\u00acZ) \u2227 ((Z \u2228 Z) \u2227 Z)\n((Z \u2228 Z) \u2227 (\u00acZ)) \u2227 Z\n(((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 Z)) \u2227 Z\n((\u00acZ) \u2227 Z) \u2227 Z\nChosen: (\u00acZ) \u2227 ((Z \u2228 Z) \u2227 Z)", "id": 1665}, {"char_len": 321, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 34, 8, 12264, 101, 320, 15, 75078, 1229, 4489, 3883, 512, 7, 83193, 7, 83193, 34, 595, 75078, 320, 83193, 7, 15, 75078, 1229, 1192, 83193, 1209, 15, 75078, 1229, 8, 12264, 101, 320, 83193, 34, 1192, 83193, 6774, 83193, 34, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 1229, 1192, 83193, 1209, 83193, 34, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 34, 8, 12264, 101, 320, 48, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 34, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 34, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 34, 340, 83193, 7, 15, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 97265, 7, 83193, 34, 696, 3883, 512, 34, 198, 1163, 8477, 25, 356], "tokenizer": "cl100k_base", "tokens_len": 156, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00acC) \u2228 (0 \u2227 Q))\n\nOptions:\n(\u00ac(\u00acC)) \u2227 (\u00ac(0 \u2227 Q))\n\u00ac((0 \u2227 Q) \u2228 (\u00acC))\n\u00ac(((\u00acC) \u2228 0) \u2227 ((\u00acC) \u2228 Q))\n\u00ac((\u00acC) \u2228 0)\n\u00ac((\u00acC) \u2228 (Q \u2227 0))\nChosen: \u00ac((\u00acC) \u2228 0)\n\nOptions:\n(\u00ac(\u00acC)) \u2227 (\u00ac0)\n\u00ac(\u00acC)\n\u00ac(0 \u2228 (\u00acC))\nChosen: \u00ac(\u00acC)\n\nOptions:\nC\nChosen: C", "id": 1666}, {"char_len": 2063, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 1192, 6774, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 320, 83193, 15, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 11861, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 220, 15, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 320, 16, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 48, 75078, 735, 8, 12264, 101, 1229, 8, 12264, 101, 735, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 48, 75078, 735, 8, 12264, 101, 320, 42, 12264, 101, 1229, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 42, 75078, 1229, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 1192, 6774, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 320, 83193, 15, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 11861, 83193, 15, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 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75078, 1819, 83193, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 320, 16, 75078, 220, 15, 696, 3883, 512, 7, 16, 75078, 220, 15, 8, 75078, 1819, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 1192, 6774, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 220, 16, 8, 75078, 220, 15, 198, 1209, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 220, 15, 198, 1209, 48, 12264, 101, 735, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 48, 75078, 735, 8, 12264, 101, 320, 48, 12264, 101, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 6386, 12264, 101, 320, 42, 12264, 101, 320, 48, 75078, 735, 7861, 75078, 320, 16, 75078, 220, 15, 340, 6774, 48, 12264, 101, 735, 8, 12264, 101, 1229, 8, 75078, 1819, 48, 12264, 101, 735, 8, 12264, 101, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 48, 12264, 101, 735, 8, 12264, 101, 320, 42, 75078, 1229, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 42, 12264, 101, 1229, 8, 12264, 101, 320, 48, 75078, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 1163, 8477, 25, 11861, 48, 12264, 101, 735, 8, 12264, 101, 1229, 8, 75078, 1819, 48, 12264, 101, 735, 8, 12264, 101, 735, 595, 75078, 320, 16, 75078, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 1274, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 (1 \u2227 0))\n\nOptions:\n((\u00ac0) \u2227 (1 \u2227 0)) \u2227 ((Q \u2227 K) \u2228 (Q \u2228 K))\n(((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (\u00ac0)) \u2227 (1 \u2227 0)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((1 \u2227 0) \u2227 (\u00ac0))\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (((\u00ac0) \u2227 1) \u2227 0)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 0)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (1 \u2227 (1 \u2227 0))\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 ((\u00ac0) \u2227 (1 \u2227 0))\n(((Q \u2227 K) \u2228 Q) \u2228 K) \u2227 ((\u00ac0) \u2227 (1 \u2227 0))\n((Q \u2227 K) \u2228 (K \u2228 Q)) \u2227 ((\u00ac0) \u2227 (1 \u2227 0))\n((K \u2227 Q) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 (1 \u2227 0))\nChosen: ((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\n\nOptions:\n((\u00ac0) \u2227 (0 \u2227 1)) \u2227 ((Q \u2227 K) \u2228 (Q \u2228 K))\n(((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (\u00ac0)) \u2227 (0 \u2227 1)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((0 \u2227 1) \u2227 (\u00ac0))\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (((\u00ac0) \u2227 0) \u2227 1)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 0)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (1 \u2227 (0 \u2227 1))\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\n(((Q \u2227 K) \u2228 Q) \u2228 K) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\n((Q \u2227 K) \u2228 (K \u2228 Q)) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\n((K \u2227 Q) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 (0 \u2227 1))\nChosen: ((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 0)\n\nOptions:\n((\u00ac0) \u2227 0) \u2227 ((Q \u2227 K) \u2228 (Q \u2228 K))\n(((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (\u00ac0)) \u2227 0\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 0\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (0 \u2227 (\u00ac0))\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (1 \u2227 0)\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 ((\u00ac0) \u2227 0)\n(((Q \u2227 K) \u2228 Q) \u2228 K) \u2227 ((\u00ac0) \u2227 0)\n((Q \u2227 K) \u2228 (K \u2228 Q)) \u2227 ((\u00ac0) \u2227 0)\n((K \u2227 Q) \u2228 (Q \u2228 K)) \u2227 ((\u00ac0) \u2227 0)\nChosen: ((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 ((\u00ac0) \u2227 0)\n\nOptions:\n((\u00ac0) \u2227 0) \u2227 ((Q \u2228 K) \u2228 (Q \u2227 K))\n(((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 (\u00ac0)) \u2227 0\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 0\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 (0 \u2227 (\u00ac0))\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 (1 \u2227 0)\n(Q \u2228 (K \u2228 (Q \u2227 K))) \u2227 ((\u00ac0) \u2227 0)\n(((Q \u2228 K) \u2228 Q) \u2227 ((Q \u2228 K) \u2228 K)) \u2227 ((\u00ac0) \u2227 0)\n((Q \u2228 K) \u2228 (K \u2227 Q)) \u2227 ((\u00ac0) \u2227 0)\n((K \u2228 Q) \u2228 (Q \u2227 K)) \u2227 ((\u00ac0) \u2227 0)\nChosen: ((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 (1 \u2227 0)\n\nOptions:\n(1 \u2227 0) \u2227 ((Q \u2228 K) \u2228 (Q \u2227 K))\n(((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 1) \u2227 0\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 0\n((Q \u2228 K) \u2228 (Q \u2227 K)) \u2227 (0 \u2227 1)\n((Q \u2227 K) \u2228 (Q \u2228 K)) \u2227 (1 \u2227 0)\n(Q \u2228 (K \u2228 (Q \u2227 K))) \u2227 (1 \u2227 0)\n(((Q \u2228 K) \u2228 Q) \u2227 ((Q \u2228 K) \u2228 K)) \u2227 (1 \u2227 0)\n((Q \u2228 K) \u2228 (K \u2227 Q)) \u2227 (1 \u2227 0)\n((K \u2228 Q) \u2228 (Q \u2227 K)) \u2227 (1 \u2227 0)\nChosen: (((Q \u2228 K) \u2228 Q) \u2227 ((Q \u2228 K) \u2228 K)) \u2227 (1 \u2227 0)", "id": 1667}, {"char_len": 2036, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 1819, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 1192, 6774, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 12264, 101, 735, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 15, 12264, 101, 735, 6054, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 42, 12264, 101, 220, 15, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 12264, 101, 735, 1192, 1209, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 1192, 17155, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 4489, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 1192, 6774, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 12264, 101, 735, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 15, 12264, 101, 735, 6054, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 42, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 12264, 101, 735, 1192, 1209, 83193, 49, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 1192, 17155, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 735, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 735, 8, 12264, 101, 1819, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 1192, 6774, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 735, 340, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 42, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 735, 1192, 1209, 15, 12264, 101, 735, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 735, 340, 1209, 83193, 49, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 17155, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1163, 8477, 25, 1819, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 735, 8, 12264, 101, 1819, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 1192, 6774, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 735, 340, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 42, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 735, 1192, 1209, 42, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 15, 75078, 735, 340, 1209, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 17155, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1163, 8477, 25, 1819, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 735, 8, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 1192, 6774, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 735, 340, 1209, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 320, 42, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 735, 1192, 1209, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 735, 340, 6774, 83193, 49, 8, 75078, 735, 8, 12264, 101, 1819, 83193, 49, 8, 75078, 220, 15, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1209, 83193, 49, 8, 75078, 735, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1209, 83193, 49, 8, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 735, 340, 1163, 8477, 25, 1819, 83193, 49, 8, 75078, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 320, 15, 75078, 735, 8], "tokenizer": "cl100k_base", "tokens_len": 1291, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\n\nOptions:\n((0 \u2227 0) \u2227 (0 \u2228 K)) \u2228 ((K \u2228 0) \u2227 (\u00acR))\n(((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 0)) \u2227 (((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2228 K))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2228 K) \u2227 (0 \u2227 0))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2227 (0 \u2228 K)))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (((0 \u2227 0) \u2227 0) \u2228 ((0 \u2227 0) \u2227 K))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\n((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (K \u2228 0))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2228 K))\n((\u00acR) \u2227 (K \u2228 0)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\n(K \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\nChosen: ((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\n\nOptions:\n((0 \u2227 0) \u2227 (0 \u2228 K)) \u2228 ((0 \u2228 K) \u2227 (\u00acR))\n(((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 0)) \u2227 (((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2228 K))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2228 K) \u2227 (0 \u2227 0))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2227 (0 \u2228 K)))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (((0 \u2227 0) \u2227 0) \u2228 ((0 \u2227 0) \u2227 K))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (K \u2228 0))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2228 K))\n((\u00acR) \u2227 (0 \u2228 K)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\n(K \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 (0 \u2228 K))\nChosen: ((0 \u2228 K) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\n\nOptions:\n((0 \u2227 0) \u2227 K) \u2228 ((0 \u2228 K) \u2227 (\u00acR))\n(((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 0)) \u2227 (((0 \u2228 K) \u2227 (\u00acR)) \u2228 K)\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (K \u2227 (0 \u2227 0))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2227 K))\n((0 \u2228 K) \u2227 (\u00acR)) \u2228 (0 \u2227 K)\n((\u00acR) \u2227 (0 \u2228 K)) \u2228 ((0 \u2227 0) \u2227 K)\n(K \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\n((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\nChosen: ((K \u2228 0) \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\n\nOptions:\n((0 \u2227 0) \u2227 K) \u2228 ((K \u2228 0) \u2227 (\u00acR))\n(((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 0)) \u2227 (((K \u2228 0) \u2227 (\u00acR)) \u2228 K)\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (K \u2227 (0 \u2227 0))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 (0 \u2227 K))\n((K \u2228 0) \u2227 (\u00acR)) \u2228 (0 \u2227 K)\n((\u00acR) \u2227 (K \u2228 0)) \u2228 ((0 \u2227 0) \u2227 K)\n(K \u2227 (\u00acR)) \u2228 ((0 \u2227 0) \u2227 K)\nChosen: ((\u00acR) \u2227 (K \u2228 0)) \u2228 ((0 \u2227 0) \u2227 K)\n\nOptions:\n((0 \u2227 0) \u2227 K) \u2228 ((\u00acR) \u2227 (K \u2228 0))\n(((\u00acR) \u2227 (K \u2228 0)) \u2228 (0 \u2227 0)) \u2227 (((\u00acR) \u2227 (K \u2228 0)) \u2228 K)\n((\u00acR) \u2227 (K \u2228 0)) \u2228 (K \u2227 (0 \u2227 0))\n((\u00acR) \u2227 (K \u2228 0)) \u2228 (0 \u2227 (0 \u2227 K))\n((\u00acR) \u2227 (K \u2228 0)) \u2228 (0 \u2227 K)\n(((\u00acR) \u2227 K) \u2228 ((\u00acR) \u2227 0)) \u2228 ((0 \u2227 0) \u2227 K)\n((\u00acR) \u2227 K) \u2228 ((0 \u2227 0) \u2227 K)\n((\u00acR) \u2227 (0 \u2228 K)) \u2228 ((0 \u2227 0) \u2227 K)\nChosen: ((\u00acR) \u2227 (K \u2228 0)) \u2228 (0 \u2227 K)", "id": 1668}, {"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, 48, 4489, 3883, 512, 83193, 48, 198, 1163, 8477, 25, 97265, 48], "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(\u00acQ))\n\nOptions:\n\u00acQ\nChosen: \u00acQ", "id": 1669}, {"char_len": 800, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 358, 8, 75078, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 1192, 7, 83193, 40, 8, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 320, 15, 75078, 220, 15, 6054, 6774, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 16, 12264, 101, 358, 595, 75078, 11861, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 15, 75078, 220, 15, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 11861, 16, 12264, 101, 358, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 15, 340, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 16, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 40, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 15, 696, 3883, 512, 1209, 16, 12264, 101, 358, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 1192, 7, 83193, 40, 8, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 1819, 16, 12264, 101, 358, 8, 75078, 220, 15, 1192, 6774, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 16, 12264, 101, 358, 595, 75078, 11861, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 15, 340, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 15, 198, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 15, 75078, 320, 16, 12264, 101, 358, 1192, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1209, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 1819, 40, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 83193, 40, 8, 12264, 101, 320, 83193, 40, 340, 15, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 320, 83193, 40, 1192, 7, 83193, 40, 8, 12264, 101, 1819, 83193, 40, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 320, 83193, 40, 8, 12264, 101, 320, 83193, 40, 8], "tokenizer": "cl100k_base", "tokens_len": 505, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acI) \u2228 (\u00acI)) \u2228 ((1 \u2228 I) \u2227 (0 \u2227 0))\n\nOptions:\n((1 \u2228 I) \u2227 (0 \u2227 0)) \u2228 ((\u00acI) \u2228 (\u00acI))\n(\u00acI) \u2228 ((\u00acI) \u2228 ((1 \u2228 I) \u2227 (0 \u2227 0)))\n(((\u00acI) \u2228 (\u00acI)) \u2228 (1 \u2228 I)) \u2227 (((\u00acI) \u2228 (\u00acI)) \u2228 (0 \u2227 0))\n((\u00acI) \u2228 (\u00acI)) \u2228 ((0 \u2227 0) \u2227 (1 \u2228 I))\n((\u00acI) \u2228 (\u00acI)) \u2228 (((1 \u2228 I) \u2227 0) \u2227 0)\n((\u00acI) \u2228 (\u00acI)) \u2228 ((1 \u2228 I) \u2227 0)\n((\u00acI) \u2228 (\u00acI)) \u2228 (1 \u2227 (0 \u2227 0))\n((\u00acI) \u2228 (\u00acI)) \u2228 ((I \u2228 1) \u2227 (0 \u2227 0))\nChosen: ((\u00acI) \u2228 (\u00acI)) \u2228 ((1 \u2228 I) \u2227 0)\n\nOptions:\n((1 \u2228 I) \u2227 0) \u2228 ((\u00acI) \u2228 (\u00acI))\n(\u00acI) \u2228 ((\u00acI) \u2228 ((1 \u2228 I) \u2227 0))\n(((\u00acI) \u2228 (\u00acI)) \u2228 (1 \u2228 I)) \u2227 (((\u00acI) \u2228 (\u00acI)) \u2228 0)\n((\u00acI) \u2228 (\u00acI)) \u2228 0\n((\u00acI) \u2228 (\u00acI)) \u2228 (0 \u2227 (1 \u2228 I))\n((\u00acI) \u2228 (\u00acI)) \u2228 (1 \u2227 0)\n((\u00acI) \u2228 (\u00acI)) \u2228 ((I \u2228 1) \u2227 0)\nChosen: ((\u00acI) \u2228 (\u00acI)) \u2228 0\n\nOptions:\n(\u00acI) \u2228 (\u00acI)\n0 \u2228 ((\u00acI) \u2228 (\u00acI))\n(\u00acI) \u2228 ((\u00acI) \u2228 0)\nChosen: (\u00acI) \u2228 (\u00acI)", "id": 1670}, {"char_len": 1010, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 15, 12264, 101, 356, 8, 12264, 101, 320, 34, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 83193, 1209, 34, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 356, 1192, 83193, 7, 15, 12264, 101, 320, 34, 12264, 101, 320, 34, 75078, 220, 15, 6054, 83193, 6774, 15, 12264, 101, 356, 8, 12264, 101, 356, 8, 75078, 1819, 15, 12264, 101, 356, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 356, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 356, 8, 12264, 101, 320, 15, 75078, 356, 1192, 83193, 7, 34, 12264, 101, 320, 34, 75078, 220, 15, 1192, 83193, 1209, 34, 12264, 101, 220, 15, 8, 12264, 101, 320, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 356, 1192, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 15, 340, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 34, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 83193, 34, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 83193, 7, 34, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 356, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 356, 1192, 1209, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 34, 595, 12264, 101, 1819, 83193, 7, 15, 12264, 101, 356, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 7, 83193, 7, 15, 12264, 101, 356, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 34, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 34, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 34, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 34, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 34, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 34, 340, 1209, 83193, 34, 8, 75078, 320, 83193, 34, 595, 12264, 101, 1819, 83193, 34, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 34, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 7, 83193, 34, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 34, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 34, 595, 75078, 320, 83193, 34, 340, 1209, 83193, 34, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 83193, 34, 8, 75078, 320, 83193, 34, 1192, 7, 83193, 34, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 320, 83193, 34, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 595], "tokenizer": "cl100k_base", "tokens_len": 625, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((0 \u2228 C) \u2228 (C \u2227 0))\n\nOptions:\n(\u00ac(0 \u2228 C)) \u2227 (\u00ac(C \u2227 0))\n\u00ac((C \u2227 0) \u2228 (0 \u2228 C))\n\u00ac(0 \u2228 (C \u2228 (C \u2227 0)))\n\u00ac(((0 \u2228 C) \u2228 C) \u2227 ((0 \u2228 C) \u2228 0))\n\u00ac((0 \u2228 C) \u2228 0)\n\u00ac((0 \u2228 C) \u2228 (0 \u2227 C))\n\u00ac(C \u2228 (C \u2227 0))\n\u00ac((C \u2228 0) \u2228 (C \u2227 0))\nChosen: (\u00ac(0 \u2228 C)) \u2227 (\u00ac(C \u2227 0))\n\nOptions:\n(\u00ac(C \u2227 0)) \u2227 (\u00ac(0 \u2228 C))\n(\u00ac(0 \u2228 C)) \u2227 ((\u00acC) \u2228 (\u00ac0))\n(\u00ac(0 \u2228 C)) \u2227 (\u00ac0)\n(\u00ac(0 \u2228 C)) \u2227 (\u00ac(0 \u2227 C))\n((\u00ac0) \u2227 (\u00acC)) \u2227 (\u00ac(C \u2227 0))\n(\u00acC) \u2227 (\u00ac(C \u2227 0))\n(\u00ac(C \u2228 0)) \u2227 (\u00ac(C \u2227 0))\nChosen: (\u00ac(0 \u2228 C)) \u2227 ((\u00acC) \u2228 (\u00ac0))\n\nOptions:\n((\u00acC) \u2228 (\u00ac0)) \u2227 (\u00ac(0 \u2228 C))\n((\u00ac(0 \u2228 C)) \u2227 (\u00acC)) \u2228 ((\u00ac(0 \u2228 C)) \u2227 (\u00ac0))\n(\u00ac(0 \u2228 C)) \u2227 ((\u00ac0) \u2228 (\u00acC))\n(\u00ac(0 \u2228 C)) \u2227 ((\u00acC) \u2228 1)\n((\u00ac0) \u2227 (\u00acC)) \u2227 ((\u00acC) \u2228 (\u00ac0))\n(\u00acC) \u2227 ((\u00acC) \u2228 (\u00ac0))\n(\u00ac(C \u2228 0)) \u2227 ((\u00acC) \u2228 (\u00ac0))\nChosen: (\u00acC) \u2227 ((\u00acC) \u2228 (\u00ac0))\n\nOptions:\n((\u00acC) \u2228 (\u00ac0)) \u2227 (\u00acC)\n((\u00acC) \u2227 (\u00acC)) \u2228 ((\u00acC) \u2227 (\u00ac0))\n(\u00acC) \u2227 ((\u00ac0) \u2228 (\u00acC))\n(\u00acC) \u2227 ((\u00acC) \u2228 1)\nChosen: (\u00acC) \u2227 ((\u00ac0) \u2228 (\u00acC))\n\nOptions:\n((\u00ac0) \u2228 (\u00acC)) \u2227 (\u00acC)\n((\u00acC) \u2227 (\u00ac0)) \u2228 ((\u00acC) \u2227 (\u00acC))\n(\u00acC) \u2227 (1 \u2228 (\u00acC))\nChosen: (\u00acC) \u2227 (1 \u2228 (\u00acC))", "id": 1671}, {"char_len": 2834, "tokens": [39314, 374, 264, 2777, 7645, 13, 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101, 1819, 37, 75078, 473, 8, 75078, 320, 83193, 39, 595], "tokenizer": "cl100k_base", "tokens_len": 1697, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 (F \u2227 1))\n\nOptions:\n((1 \u2227 H) \u2228 (F \u2227 1)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 H)) \u2228 (F \u2227 1)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((F \u2227 1) \u2228 (1 \u2227 H))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 F) \u2227 ((1 \u2227 H) \u2228 1))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 F)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 (1 \u2227 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (H \u2228 (F \u2227 1))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((H \u2227 1) \u2228 (F \u2227 1))\n((\u00acH) \u2227 (H \u2227 F)) \u2228 ((1 \u2227 H) \u2228 (F \u2227 1))\n(H \u2227 (F \u2227 (\u00acH))) \u2228 ((1 \u2227 H) \u2228 (F \u2227 1))\n((F \u2227 H) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 (F \u2227 1))\nChosen: ((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 (1 \u2227 F))\n\nOptions:\n((1 \u2227 H) \u2228 (1 \u2227 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 H)) \u2228 (1 \u2227 F)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 F) \u2228 (1 \u2227 H))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 F)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (H \u2228 (1 \u2227 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((H \u2227 1) \u2228 (1 \u2227 F))\n((\u00acH) \u2227 (H \u2227 F)) \u2228 ((1 \u2227 H) \u2228 (1 \u2227 F))\n(H \u2227 (F \u2227 (\u00acH))) \u2228 ((1 \u2227 H) \u2228 (1 \u2227 F))\n((F \u2227 H) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 (1 \u2227 F))\nChosen: ((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n\nOptions:\n(((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 1)) \u2227 (((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 F) \u2227 ((1 \u2227 H) \u2228 1))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((((1 \u2227 H) \u2228 1) \u2227 (1 \u2227 H)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 (F \u2228 (1 \u2227 H)))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 (H \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((H \u2227 1) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2228 (1 \u2227 H)) \u2227 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((H \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((H \u2227 1) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n((\u00acH) \u2227 (H \u2227 F)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n(H \u2227 (F \u2227 (\u00acH))) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\n((F \u2227 H) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 1) \u2227 ((1 \u2227 H) \u2228 F))\nChosen: ((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 ((1 \u2227 H) \u2228 F))\n\nOptions:\n(1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(((H \u2227 F) \u2227 (\u00acH)) \u2228 1) \u2227 (((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 H) \u2228 F)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (((1 \u2227 H) \u2228 F) \u2227 1)\n((H \u2227 F) \u2227 (\u00acH)) \u2228 ((1 \u2227 (1 \u2227 H)) \u2228 (1 \u2227 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 (F \u2228 (1 \u2227 H)))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 (H \u2228 F))\n((H \u2227 F) \u2227 (\u00acH)) \u2228 (1 \u2227 ((H \u2227 1) \u2228 F))\n((\u00acH) \u2227 (H \u2227 F)) \u2228 (1 \u2227 ((1 \u2227 H) \u2228 F))\n(H \u2227 (F \u2227 (\u00acH))) \u2228 (1 \u2227 ((1 \u2227 H) \u2228 F))\n((F \u2227 H) \u2227 (\u00acH)) \u2228 (1 \u2227 ((1 \u2227 H) \u2228 F))\nChosen: (1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n\nOptions:\n((1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 (H \u2227 F)) \u2227 ((1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 (\u00acH))\n(1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((\u00acH) \u2227 (H \u2227 F))\n(1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 (H \u2227 (F \u2227 (\u00acH)))\n(1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((F \u2227 H) \u2227 (\u00acH))\n((1 \u2227 H) \u2228 F) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(((1 \u2227 H) \u2228 F) \u2227 1) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n((1 \u2227 (1 \u2227 H)) \u2228 (1 \u2227 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(1 \u2227 (F \u2228 (1 \u2227 H))) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(1 \u2227 (H \u2228 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\n(1 \u2227 ((H \u2227 1) \u2228 F)) \u2228 ((H \u2227 F) \u2227 (\u00acH))\nChosen: (1 \u2227 ((1 \u2227 H) \u2228 F)) \u2228 ((F \u2227 H) \u2227 (\u00acH))", "id": 1672}, {"char_len": 420, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 52, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 52, 75078, 220, 15, 1192, 83193, 6774, 52, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 1209, 52, 75078, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 75078, 549, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 52, 75078, 220, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 83193, 7, 52, 75078, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 52, 75078, 220, 15, 1192, 83193, 7, 15, 12264, 101, 220, 15, 340, 83193, 1209, 15, 75078, 549, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 233, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((U \u2227 0) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(U \u2227 0)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (U \u2227 0))\n\u00ac(((U \u2227 0) \u2228 0) \u2228 0)\n\u00ac((U \u2227 0) \u2228 0)\n\u00ac(0 \u2228 (0 \u2228 0))\n\u00ac((0 \u2227 U) \u2228 (0 \u2228 0))\nChosen: \u00ac((U \u2227 0) \u2228 0)\n\nOptions:\n(\u00ac(U \u2227 0)) \u2227 (\u00ac0)\n\u00ac(U \u2227 0)\n\u00ac(0 \u2228 (U \u2227 0))\n\u00ac(0 \u2228 0)\n\u00ac((0 \u2227 U) \u2228 0)\nChosen: \u00ac(0 \u2228 0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac0)\n\u00ac0\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1673}, {"char_len": 456, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 38, 75078, 480, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 38, 75078, 480, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 83193, 1209, 15, 75078, 220, 16, 8, 75078, 320, 38, 75078, 480, 1192, 83193, 6774, 38, 75078, 480, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 83193, 7, 38, 75078, 320, 38, 75078, 320, 15, 75078, 220, 16, 6054, 83193, 1209, 38, 75078, 480, 8, 75078, 220, 15, 340, 83193, 1209, 38, 75078, 480, 8, 75078, 320, 16, 75078, 220, 15, 1192, 83193, 7, 38, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 38, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 38, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 83193, 1209, 15, 75078, 220, 16, 8, 75078, 480, 340, 83193, 1209, 38, 75078, 220, 15, 8, 75078, 220, 16, 340, 83193, 7, 38, 75078, 220, 15, 340, 83193, 7, 38, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 38, 75078, 220, 15, 696, 3883, 512, 7, 83193, 38, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 480, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 236, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((G \u2227 G) \u2227 (0 \u2227 1))\n\nOptions:\n(\u00ac(G \u2227 G)) \u2228 (\u00ac(0 \u2227 1))\n\u00ac((0 \u2227 1) \u2227 (G \u2227 G))\n\u00ac(((G \u2227 G) \u2227 0) \u2227 1)\n\u00ac(G \u2227 (G \u2227 (0 \u2227 1)))\n\u00ac((G \u2227 G) \u2227 0)\n\u00ac((G \u2227 G) \u2227 (1 \u2227 0))\n\u00ac(G \u2227 (0 \u2227 1))\nChosen: \u00ac(G \u2227 (0 \u2227 1))\n\nOptions:\n(\u00acG) \u2228 (\u00ac(0 \u2227 1))\n\u00ac((0 \u2227 1) \u2227 G)\n\u00ac((G \u2227 0) \u2227 1)\n\u00ac(G \u2227 0)\n\u00ac(G \u2227 (1 \u2227 0))\nChosen: \u00ac(G \u2227 0)\n\nOptions:\n(\u00acG) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 G)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1674}, {"char_len": 2933, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 469, 4489, 3883, 512, 1209, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 469, 595, 75078, 320, 83193, 7, 36, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 469, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 469, 8, 12264, 101, 320, 36, 12264, 101, 220, 16, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 11861, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 469, 340, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 469, 6054, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 36, 12264, 101, 220, 16, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 469, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 469, 8, 12264, 101, 320, 16, 12264, 101, 469, 1192, 1209, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 469, 1192, 7, 83193, 16, 8, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 469, 1192, 7, 83193, 7, 16, 12264, 101, 469, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 469, 1192, 1163, 8477, 25, 320, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 36, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 198, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 36, 12264, 101, 220, 16, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 469, 8, 12264, 101, 220, 16, 340, 1209, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 469, 595, 75078, 1819, 36, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 1192, 6774, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 220, 16, 7861, 75078, 11861, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 83193, 7, 36, 12264, 101, 220, 16, 6054, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 340, 15, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 36, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 36, 12264, 101, 220, 16, 7861, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 6774, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 469, 8, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 6774, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 1192, 6774, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 220, 16, 7861, 75078, 11861, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 320, 83193, 7, 36, 12264, 101, 220, 16, 6054, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 340, 1209, 36, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 469, 7861, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 6774, 83193, 7, 16, 12264, 101, 469, 595, 75078, 469, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 16, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 36, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 696, 3883, 512, 6774, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 1192, 6774, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 36, 8, 75078, 320, 83193, 16, 7861, 75078, 11861, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 36, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 1819, 83193, 36, 8, 75078, 320, 83193, 16, 6054, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 36, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 320, 83193, 36, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 36, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 469, 7861, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 6774, 83193, 7, 16, 12264, 101, 469, 595, 75078, 469, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 16, 12264, 101, 469, 595, 75078, 320, 16, 12264, 101, 469, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 36, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 36, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 320, 83193, 16, 595, 75078, 220, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 2044, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(E \u2228 1)) \u2227 ((E \u2228 1) \u2228 (1 \u2228 E))\n\nOptions:\n((E \u2228 1) \u2228 (1 \u2228 E)) \u2227 (\u00ac(E \u2228 1))\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 (1 \u2228 E))\n(\u00ac(E \u2228 1)) \u2227 ((1 \u2228 E) \u2228 (E \u2228 1))\n(\u00ac(E \u2228 1)) \u2227 (((E \u2228 1) \u2228 1) \u2228 E)\n(\u00ac(E \u2228 1)) \u2227 (E \u2228 (1 \u2228 (1 \u2228 E)))\n(\u00ac(E \u2228 1)) \u2227 ((E \u2228 1) \u2228 1)\n(\u00ac(E \u2228 1)) \u2227 ((E \u2228 1) \u2228 (E \u2228 1))\n(\u00ac(E \u2228 1)) \u2227 (1 \u2228 (1 \u2228 E))\n(\u00ac(E \u2228 1)) \u2227 ((1 \u2228 E) \u2228 (1 \u2228 E))\n((\u00acE) \u2227 (\u00ac1)) \u2227 ((E \u2228 1) \u2228 (1 \u2228 E))\n(\u00ac1) \u2227 ((E \u2228 1) \u2228 (1 \u2228 E))\n(\u00ac(1 \u2228 E)) \u2227 ((E \u2228 1) \u2228 (1 \u2228 E))\nChosen: (\u00ac(E \u2228 1)) \u2227 ((E \u2228 1) \u2228 1)\n\nOptions:\n((E \u2228 1) \u2228 1) \u2227 (\u00ac(E \u2228 1))\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n(\u00ac(E \u2228 1)) \u2227 1\n(\u00ac(E \u2228 1)) \u2227 (1 \u2228 (E \u2228 1))\n(\u00ac(E \u2228 1)) \u2227 (E \u2228 (1 \u2228 1))\n(\u00ac(E \u2228 1)) \u2227 (1 \u2228 1)\n(\u00ac(E \u2228 1)) \u2227 ((1 \u2228 E) \u2228 1)\n((\u00acE) \u2227 (\u00ac1)) \u2227 ((E \u2228 1) \u2228 1)\n(\u00ac1) \u2227 ((E \u2228 1) \u2228 1)\n(\u00ac(1 \u2228 E)) \u2227 ((E \u2228 1) \u2228 1)\nChosen: ((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n\nOptions:\n((\u00ac(E \u2228 1)) \u2227 1) \u2228 ((\u00ac(E \u2228 1)) \u2227 (E \u2228 1))\n(((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 (\u00ac(E \u2228 1))) \u2227 (((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 1)\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 (\u00ac(E \u2228 1))\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 (1 \u2227 (\u00ac(E \u2228 1)))\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac1) \u2227 1)\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(1 \u2228 E)) \u2227 1)\n0 \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((E \u2228 1) \u2227 (\u00ac(E \u2228 1))) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n(((\u00ac(E \u2228 1)) \u2227 E) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac(E \u2228 1)) \u2227 1) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac(E \u2228 1)) \u2227 (1 \u2228 E)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n(((\u00acE) \u2227 (\u00ac1)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac1) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\nChosen: ((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n\nOptions:\n((\u00ac(E \u2228 1)) \u2227 1) \u2228 ((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1))\n(((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (\u00ac(E \u2228 1))) \u2227 (((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (\u00ac(E \u2228 1))\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (1 \u2227 (\u00ac(E \u2228 1)))\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00ac1) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(1 \u2228 E)) \u2227 1)\n((E \u2228 1) \u2227 (\u00ac(1 \u2228 E))) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n(((\u00ac(1 \u2228 E)) \u2227 E) \u2228 ((\u00ac(1 \u2228 E)) \u2227 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 1) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (1 \u2228 E)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n(((\u00ac1) \u2227 (\u00acE)) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\n((\u00ac1) \u2227 (E \u2228 1)) \u2228 ((\u00ac(E \u2228 1)) \u2227 1)\nChosen: ((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n\nOptions:\n(((\u00acE) \u2227 (\u00ac1)) \u2227 1) \u2228 ((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1))\n(((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00acE) \u2227 (\u00ac1))) \u2227 (((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00acE) \u2227 (\u00ac1))\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (1 \u2227 ((\u00acE) \u2227 (\u00ac1)))\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 ((\u00acE) \u2227 ((\u00ac1) \u2227 1))\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (((\u00ac1) \u2227 (\u00acE)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 0) \u2227 1)\n((E \u2228 1) \u2227 (\u00ac(1 \u2228 E))) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n(((\u00ac(1 \u2228 E)) \u2227 E) \u2228 ((\u00ac(1 \u2228 E)) \u2227 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 1) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac(1 \u2228 E)) \u2227 (1 \u2228 E)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n(((\u00ac1) \u2227 (\u00acE)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac1) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\n((\u00ac(E \u2228 1)) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)\nChosen: ((\u00ac1) \u2227 (E \u2228 1)) \u2228 (((\u00acE) \u2227 (\u00ac1)) \u2227 1)", "id": 1675}, {"char_len": 183, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 42, 12264, 101, 735, 4489, 3883, 512, 42, 12264, 101, 735, 198, 83193, 1209, 83193, 42, 8, 75078, 320, 83193, 42, 1192, 83193, 7, 83193, 42, 340, 1163, 8477, 25, 735, 12264, 101, 735, 271, 3883, 512, 42, 198, 1163, 8477, 25, 735], "tokenizer": "cl100k_base", "tokens_len": 65, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(K \u2228 K))\n\nOptions:\nK \u2228 K\n\u00ac((\u00acK) \u2227 (\u00acK))\n\u00ac(\u00acK)\nChosen: K \u2228 K\n\nOptions:\nK\nChosen: K", "id": 1676}, {"char_len": 536, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 32, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 83193, 7, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 6054, 83193, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 32, 12264, 101, 320, 83193, 16, 1192, 83193, 1209, 15, 12264, 101, 362, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 32, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 83193, 7, 32, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 83193, 7, 32, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 362, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 362, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 15, 12264, 101, 362, 595, 75078, 320, 83193, 15, 340, 83193, 7, 15, 12264, 101, 362, 340, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 362, 1192, 83193, 7, 15, 12264, 101, 320, 32, 12264, 101, 220, 15, 1192, 83193, 7, 32, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 32, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 32, 8, 75078, 320, 83193, 15, 340, 83193, 32, 198, 83193, 7, 15, 12264, 101, 362, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 362, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 32, 340, 83193, 32, 198, 1163, 8477, 25, 97265, 32], "tokenizer": "cl100k_base", "tokens_len": 317, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((A \u2228 0) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(A \u2228 0)) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 (A \u2228 0))\n\u00ac(A \u2228 (0 \u2228 (\u00ac1)))\n\u00ac((A \u2228 0) \u2228 0)\n\u00ac(A \u2228 (\u00ac1))\n\u00ac((0 \u2228 A) \u2228 (\u00ac1))\nChosen: \u00ac((A \u2228 0) \u2228 0)\n\nOptions:\n(\u00ac(A \u2228 0)) \u2227 (\u00ac0)\n\u00ac(A \u2228 0)\n\u00ac(0 \u2228 (A \u2228 0))\n\u00ac(A \u2228 (0 \u2228 0))\n\u00ac((0 \u2228 A) \u2228 0)\nChosen: \u00ac((0 \u2228 A) \u2228 0)\n\nOptions:\n(\u00ac(0 \u2228 A)) \u2227 (\u00ac0)\n\u00ac(0 \u2228 A)\n\u00ac(0 \u2228 (0 \u2228 A))\n\u00ac(0 \u2228 (A \u2228 0))\n\u00ac(A \u2228 0)\nChosen: \u00ac(A \u2228 0)\n\nOptions:\n(\u00acA) \u2227 (\u00ac0)\n\u00acA\n\u00ac(0 \u2228 A)\nChosen: \u00ac(0 \u2228 A)\n\nOptions:\n(\u00ac0) \u2227 (\u00acA)\n\u00acA\nChosen: \u00acA", "id": 1677}, {"char_len": 2579, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 4489, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 16, 75078, 452, 8, 12264, 101, 320, 45, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 452, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 11861, 45, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 320, 45, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 15, 12264, 101, 452, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 15, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 4489, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 16, 75078, 452, 8, 12264, 101, 320, 45, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 452, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 11861, 45, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 452, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 6774, 83193, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 7, 15, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 452, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 4489, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 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16, 1192, 6774, 83193, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 7, 15, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 696, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 452, 340, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 320, 45, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 452, 8, 12264, 101, 452, 340, 1209, 35, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 6774, 83193, 16, 8, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 12264, 101, 423, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 7, 15, 12264, 101, 320, 35, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 696, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 423, 340, 6774, 83193, 16, 8, 12264, 101, 423, 8, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 423, 8, 75078, 452, 340, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 320, 45, 12264, 101, 320, 45, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 452, 1192, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 320, 45, 12264, 101, 452, 340, 1209, 83193, 16, 8, 12264, 101, 423, 8, 75078, 1819, 15, 12264, 101, 452, 8, 12264, 101, 452, 340, 5549, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 7, 15, 12264, 101, 423, 8, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 423, 8, 75078, 320, 45, 12264, 101, 320, 45, 12264, 101, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1766, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n\nOptions:\n((N \u2228 0) \u2228 (1 \u2227 N)) \u2227 ((\u00ac1) \u2228 (0 \u2228 D))\n(((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (N \u2228 0)) \u2228 (((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (1 \u2227 N))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((1 \u2227 N) \u2228 (N \u2228 0))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (N \u2228 (0 \u2228 (1 \u2227 N)))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (((N \u2228 0) \u2228 1) \u2227 ((N \u2228 0) \u2228 N))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 N)\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 (N \u2228 (1 \u2227 N))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((0 \u2228 N) \u2228 (1 \u2227 N))\n((0 \u2228 D) \u2228 (\u00ac1)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n(((\u00ac1) \u2228 0) \u2228 D) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n((\u00ac1) \u2228 D) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n(0 \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\nChosen: ((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n\nOptions:\n((N \u2228 0) \u2228 (1 \u2227 N)) \u2227 ((\u00ac1) \u2228 (D \u2228 0))\n(((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 0)) \u2228 (((\u00ac1) \u2228 (D \u2228 0)) \u2227 (1 \u2227 N))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((1 \u2227 N) \u2228 (N \u2228 0))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (0 \u2228 (1 \u2227 N)))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (((N \u2228 0) \u2228 1) \u2227 ((N \u2228 0) \u2228 N))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 N)\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (1 \u2227 N))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((0 \u2228 N) \u2228 (1 \u2227 N))\n((D \u2228 0) \u2228 (\u00ac1)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n(((\u00ac1) \u2228 D) \u2228 0) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n((\u00ac1) \u2228 D) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\n(0 \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (1 \u2227 N))\nChosen: ((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n\nOptions:\n((N \u2228 0) \u2228 (N \u2227 1)) \u2227 ((\u00ac1) \u2228 (D \u2228 0))\n(((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 0)) \u2228 (((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2227 1))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2227 1) \u2228 (N \u2228 0))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (0 \u2228 (N \u2227 1)))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (((N \u2228 0) \u2228 N) \u2227 ((N \u2228 0) \u2228 1))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 N)\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (N \u2227 1))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((0 \u2228 N) \u2228 (N \u2227 1))\n((D \u2228 0) \u2228 (\u00ac1)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n(((\u00ac1) \u2228 D) \u2228 0) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n((\u00ac1) \u2228 D) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\n(0 \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 (N \u2227 1))\nChosen: ((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 N)\n\nOptions:\n((N \u2228 0) \u2228 N) \u2227 ((\u00ac1) \u2228 (D \u2228 0))\n(((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 0)) \u2228 (((\u00ac1) \u2228 (D \u2228 0)) \u2227 N)\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (N \u2228 0))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 (0 \u2228 N))\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 (N \u2228 N)\n((\u00ac1) \u2228 (D \u2228 0)) \u2227 ((0 \u2228 N) \u2228 N)\n((D \u2228 0) \u2228 (\u00ac1)) \u2227 ((N \u2228 0) \u2228 N)\n(((\u00ac1) \u2228 D) \u2228 0) \u2227 ((N \u2228 0) \u2228 N)\n((\u00ac1) \u2228 D) \u2227 ((N \u2228 0) \u2228 N)\n((\u00ac1) \u2228 (0 \u2228 D)) \u2227 ((N \u2228 0) \u2228 N)\n(0 \u2228 (D \u2228 0)) \u2227 ((N \u2228 0) \u2228 N)\nChosen: ((\u00ac1) \u2228 D) \u2227 ((N \u2228 0) \u2228 N)\n\nOptions:\n((N \u2228 0) \u2228 N) \u2227 ((\u00ac1) \u2228 D)\n(((\u00ac1) \u2228 D) \u2227 (N \u2228 0)) \u2228 (((\u00ac1) \u2228 D) \u2227 N)\n((\u00ac1) \u2228 D) \u2227 (N \u2228 (N \u2228 0))\n((\u00ac1) \u2228 D) \u2227 (N \u2228 (0 \u2228 N))\n((\u00ac1) \u2228 D) \u2227 (N \u2228 N)\n((\u00ac1) \u2228 D) \u2227 ((0 \u2228 N) \u2228 N)\n(D \u2228 (\u00ac1)) \u2227 ((N \u2228 0) \u2228 N)\n(0 \u2228 D) \u2227 ((N \u2228 0) \u2228 N)\nChosen: ((\u00ac1) \u2228 D) \u2227 (N \u2228 (N \u2228 0))", "id": 1678}, {"char_len": 1352, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 6054, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 41, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 41, 340, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 1192, 6774, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 41, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 622, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 622, 6054, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 41, 340, 1209, 16, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 6774, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 1209, 83193, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 7, 16, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 622, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 7, 15, 12264, 101, 622, 595, 75078, 320, 83193, 15, 595, 75078, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 11861, 83193, 15, 8, 75078, 220, 16, 8, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 1819, 83193, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 320, 16, 75078, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 41, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 41, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 622, 595, 75078, 320, 16, 75078, 320, 16, 75078, 220, 16, 4489, 3883, 512, 7, 16, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 1209, 83193, 7, 15, 12264, 101, 622, 595, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 41, 595, 75078, 320, 16, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 41, 8, 75078, 320, 16, 75078, 320, 16, 75078, 220, 16, 1192, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 320, 16, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 622, 595, 75078, 320, 16, 75078, 220, 16, 696, 3883, 512, 7, 16, 75078, 220, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 622, 1192, 1209, 83193, 7, 15, 12264, 101, 622, 595, 75078, 220, 16, 8, 75078, 220, 16, 198, 7, 83193, 7, 15, 12264, 101, 622, 595, 75078, 220, 16, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 41, 595, 75078, 320, 16, 75078, 220, 16, 340, 7, 83193, 41, 8, 75078, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 41, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 622, 595, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 843, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2227 (1 \u2227 1)) \u2227 (\u00ac(J \u2228 0))\n\nOptions:\n(\u00ac(J \u2228 0)) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\n(\u00ac0) \u2227 ((1 \u2227 1) \u2227 (\u00ac(J \u2228 0)))\n((\u00ac0) \u2227 (1 \u2227 1)) \u2227 ((\u00acJ) \u2227 (\u00ac0))\n((\u00ac0) \u2227 (1 \u2227 1)) \u2227 (\u00acJ)\n((\u00ac0) \u2227 (1 \u2227 1)) \u2227 (\u00ac(0 \u2228 J))\n((1 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(J \u2228 0))\n(((\u00ac0) \u2227 1) \u2227 1) \u2227 (\u00ac(J \u2228 0))\n((\u00ac0) \u2227 1) \u2227 (\u00ac(J \u2228 0))\n(1 \u2227 (1 \u2227 1)) \u2227 (\u00ac(J \u2228 0))\nChosen: ((\u00ac0) \u2227 (1 \u2227 1)) \u2227 (\u00ac(0 \u2228 J))\n\nOptions:\n(\u00ac(0 \u2228 J)) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\n(\u00ac0) \u2227 ((1 \u2227 1) \u2227 (\u00ac(0 \u2228 J)))\n((\u00ac0) \u2227 (1 \u2227 1)) \u2227 ((\u00ac0) \u2227 (\u00acJ))\n((\u00ac0) \u2227 (1 \u2227 1)) \u2227 (\u00acJ)\n((1 \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2228 J))\n(((\u00ac0) \u2227 1) \u2227 1) \u2227 (\u00ac(0 \u2228 J))\n((\u00ac0) \u2227 1) \u2227 (\u00ac(0 \u2228 J))\n(1 \u2227 (1 \u2227 1)) \u2227 (\u00ac(0 \u2228 J))\nChosen: (\u00ac(0 \u2228 J)) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\n\nOptions:\n((\u00ac(0 \u2228 J)) \u2227 (\u00ac0)) \u2227 (1 \u2227 1)\n(\u00ac(0 \u2228 J)) \u2227 ((1 \u2227 1) \u2227 (\u00ac0))\n(\u00ac(0 \u2228 J)) \u2227 (((\u00ac0) \u2227 1) \u2227 1)\n(\u00ac(0 \u2228 J)) \u2227 ((\u00ac0) \u2227 1)\n(\u00ac(0 \u2228 J)) \u2227 (1 \u2227 (1 \u2227 1))\n((\u00ac0) \u2227 (\u00acJ)) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\n(\u00acJ) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\n(\u00ac(J \u2228 0)) \u2227 ((\u00ac0) \u2227 (1 \u2227 1))\nChosen: (\u00ac(0 \u2228 J)) \u2227 (1 \u2227 (1 \u2227 1))\n\nOptions:\n(1 \u2227 (1 \u2227 1)) \u2227 (\u00ac(0 \u2228 J))\n((\u00ac(0 \u2228 J)) \u2227 1) \u2227 (1 \u2227 1)\n(\u00ac(0 \u2228 J)) \u2227 (1 \u2227 1)\n(\u00ac(0 \u2228 J)) \u2227 ((1 \u2227 1) \u2227 1)\n((\u00ac0) \u2227 (\u00acJ)) \u2227 (1 \u2227 (1 \u2227 1))\n(\u00acJ) \u2227 (1 \u2227 (1 \u2227 1))\n(\u00ac(J \u2228 0)) \u2227 (1 \u2227 (1 \u2227 1))\nChosen: (\u00ac(0 \u2228 J)) \u2227 (1 \u2227 1)\n\nOptions:\n(1 \u2227 1) \u2227 (\u00ac(0 \u2228 J))\n((\u00ac(0 \u2228 J)) \u2227 1) \u2227 1\n(\u00ac(0 \u2228 J)) \u2227 1\n((\u00ac0) \u2227 (\u00acJ)) \u2227 (1 \u2227 1)\n(\u00acJ) \u2227 (1 \u2227 1)\n(\u00ac(J \u2228 0)) \u2227 (1 \u2227 1)\nChosen: (\u00ac(0 \u2228 J)) \u2227 1", "id": 1679}, {"char_len": 1199, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 75078, 650, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 650, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 650, 595, 12264, 101, 320, 83193, 7, 16, 75078, 650, 1192, 1209, 83193, 7, 16, 75078, 650, 595, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 7, 16, 75078, 650, 595, 12264, 101, 320, 16, 75078, 650, 1192, 7, 83193, 7, 16, 75078, 650, 595, 12264, 101, 1819, 16, 75078, 650, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 650, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 650, 340, 7, 83193, 7, 16, 75078, 650, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 650, 340, 7, 83193, 7, 16, 75078, 650, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 53, 75078, 220, 16, 1192, 7, 83193, 7, 16, 75078, 650, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 650, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 53, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 650, 1192, 7, 83193, 53, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 650, 1192, 7, 83193, 7, 53, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 650, 1192, 1163, 8477, 25, 320, 83193, 53, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 75078, 650, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 16, 75078, 650, 595, 12264, 101, 320, 83193, 53, 340, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 320, 16, 75078, 650, 1192, 7, 83193, 53, 8, 12264, 101, 1819, 16, 75078, 650, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 53, 8, 12264, 101, 11861, 83193, 16, 8, 75078, 220, 16, 8, 75078, 650, 340, 7, 83193, 53, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 650, 340, 7, 83193, 53, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 53, 75078, 220, 16, 1192, 7, 83193, 53, 8, 12264, 101, 320, 15, 75078, 320, 16, 75078, 650, 1192, 1163, 8477, 25, 320, 83193, 53, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 650, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 650, 8, 12264, 101, 320, 83193, 53, 340, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 650, 340, 7, 83193, 53, 8, 12264, 101, 320, 53, 75078, 320, 83193, 16, 1192, 7, 83193, 53, 8, 12264, 101, 320, 15, 75078, 650, 340, 1163, 8477, 25, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 650, 696, 3883, 512, 1209, 83193, 53, 8, 12264, 101, 650, 8, 75078, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 53, 595, 12264, 101, 11861, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 650, 340, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 16, 198, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 53, 12264, 101, 320, 83193, 53, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 53, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 650, 340, 1209, 83193, 53, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 53, 8, 12264, 101, 650, 340, 1163, 8477, 25, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 53, 12264, 101, 320, 83193, 53, 4489, 3883, 512, 12692, 12264, 101, 320, 83193, 53, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 650, 8, 12264, 101, 11861, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 53, 1192, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 16, 198, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 53, 595, 75078, 320, 53, 12264, 101, 320, 83193, 53, 1192, 1209, 83193, 53, 8, 12264, 101, 220, 15, 8, 75078, 320, 53, 12264, 101, 320, 83193, 53, 1192, 1163, 8477, 25, 320, 53, 12264, 101, 320, 83193, 53, 595, 75078, 1819, 83193, 53, 8, 12264, 101, 320, 83193, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 734, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2227 V)) \u2228 ((\u00ac1) \u2227 (1 \u2227 V))\n\nOptions:\n((\u00ac1) \u2227 (1 \u2227 V)) \u2228 (\u00ac(1 \u2227 V))\n((\u00ac(1 \u2227 V)) \u2228 (\u00ac1)) \u2227 ((\u00ac(1 \u2227 V)) \u2228 (1 \u2227 V))\n(\u00ac(1 \u2227 V)) \u2228 ((1 \u2227 V) \u2227 (\u00ac1))\n(\u00ac(1 \u2227 V)) \u2228 (((\u00ac1) \u2227 1) \u2227 V)\n(\u00ac(1 \u2227 V)) \u2228 ((\u00ac1) \u2227 V)\n(\u00ac(1 \u2227 V)) \u2228 ((\u00ac1) \u2227 (V \u2227 1))\n(\u00ac(1 \u2227 V)) \u2228 (0 \u2227 (1 \u2227 V))\n((\u00ac1) \u2228 (\u00acV)) \u2228 ((\u00ac1) \u2227 (1 \u2227 V))\n(\u00acV) \u2228 ((\u00ac1) \u2227 (1 \u2227 V))\n(\u00ac(V \u2227 1)) \u2228 ((\u00ac1) \u2227 (1 \u2227 V))\nChosen: (\u00acV) \u2228 ((\u00ac1) \u2227 (1 \u2227 V))\n\nOptions:\n((\u00ac1) \u2227 (1 \u2227 V)) \u2228 (\u00acV)\n((\u00acV) \u2228 (\u00ac1)) \u2227 ((\u00acV) \u2228 (1 \u2227 V))\n(\u00acV) \u2228 ((1 \u2227 V) \u2227 (\u00ac1))\n(\u00acV) \u2228 (((\u00ac1) \u2227 1) \u2227 V)\n(\u00acV) \u2228 ((\u00ac1) \u2227 V)\n(\u00acV) \u2228 ((\u00ac1) \u2227 (V \u2227 1))\n(\u00acV) \u2228 (0 \u2227 (1 \u2227 V))\nChosen: (\u00acV) \u2228 ((\u00ac1) \u2227 V)\n\nOptions:\n((\u00ac1) \u2227 V) \u2228 (\u00acV)\n((\u00acV) \u2228 (\u00ac1)) \u2227 ((\u00acV) \u2228 V)\n(\u00acV) \u2228 (V \u2227 (\u00ac1))\n(\u00acV) \u2228 (0 \u2227 V)\nChosen: ((\u00acV) \u2228 (\u00ac1)) \u2227 ((\u00acV) \u2228 V)\n\nOptions:\n((\u00acV) \u2228 V) \u2227 ((\u00acV) \u2228 (\u00ac1))\n(((\u00acV) \u2228 (\u00ac1)) \u2227 (\u00acV)) \u2228 (((\u00acV) \u2228 (\u00ac1)) \u2227 V)\n((\u00acV) \u2228 (\u00ac1)) \u2227 1\n((\u00acV) \u2228 (\u00ac1)) \u2227 (V \u2228 (\u00acV))\n((\u00ac1) \u2228 (\u00acV)) \u2227 ((\u00acV) \u2228 V)\n((\u00acV) \u2228 0) \u2227 ((\u00acV) \u2228 V)\nChosen: ((\u00acV) \u2228 (\u00ac1)) \u2227 (V \u2228 (\u00acV))\n\nOptions:\n(V \u2228 (\u00acV)) \u2227 ((\u00acV) \u2228 (\u00ac1))\n(((\u00acV) \u2228 (\u00ac1)) \u2227 V) \u2228 (((\u00acV) \u2228 (\u00ac1)) \u2227 (\u00acV))\n((\u00acV) \u2228 (\u00ac1)) \u2227 1\n((\u00ac1) \u2228 (\u00acV)) \u2227 (V \u2228 (\u00acV))\n((\u00acV) \u2228 0) \u2227 (V \u2228 (\u00acV))\nChosen: (V \u2228 (\u00acV)) \u2227 ((\u00acV) \u2228 (\u00ac1))", "id": 1680}, {"char_len": 426, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 15, 12264, 101, 220, 16, 198, 83193, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 83193, 16, 340, 83193, 7, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 220, 15, 340, 83193, 7, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 1209, 83193, 16, 8, 75078, 220, 16, 340, 83193, 7, 15, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 83193, 15, 198, 83193, 1209, 83193, 15, 8, 75078, 220, 15, 340, 83193, 7, 15, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 222, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(0 \u2228 1))\n\nOptions:\n0 \u2228 1\n\u00ac((\u00ac0) \u2227 (\u00ac1))\n\u00ac(\u00ac1)\n\u00ac(\u00ac(1 \u2228 0))\nChosen: \u00ac((\u00ac0) \u2227 (\u00ac1))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2227 (\u00ac0))\n\u00ac((\u00ac0) \u2227 0)\n\u00ac(1 \u2227 (\u00ac1))\nChosen: \u00ac((\u00ac1) \u2227 (\u00ac0))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00ac0))\n\u00ac((\u00ac1) \u2227 1)\n\u00ac(0 \u2227 (\u00ac0))\nChosen: \u00ac(0 \u2227 (\u00ac0))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(\u00ac0))\n\u00ac0\n\u00ac((\u00ac0) \u2227 0)\n\u00ac(0 \u2227 1)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1681}, {"char_len": 431, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 45, 75078, 220, 16, 8, 75078, 320, 83193, 55, 4489, 3883, 512, 7, 83193, 7, 45, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 55, 1192, 83193, 1209, 83193, 55, 8, 75078, 320, 45, 75078, 220, 16, 1192, 83193, 7, 45, 75078, 320, 16, 75078, 320, 83193, 55, 6054, 83193, 7, 45, 75078, 320, 83193, 55, 1192, 83193, 1209, 16, 75078, 452, 8, 75078, 320, 83193, 55, 1192, 1163, 8477, 25, 97265, 7, 45, 75078, 320, 83193, 55, 4489, 3883, 512, 7, 83193, 45, 8, 12264, 101, 320, 83193, 7, 83193, 55, 1192, 83193, 1209, 83193, 55, 8, 75078, 452, 340, 1163, 8477, 25, 97265, 1209, 83193, 55, 8, 75078, 452, 696, 3883, 512, 7, 83193, 7, 83193, 55, 595, 12264, 101, 320, 83193, 45, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 55, 595, 12264, 101, 320, 83193, 45, 696, 3883, 512, 7, 83193, 45, 8, 12264, 101, 320, 83193, 7, 83193, 55, 1192, 55, 12264, 101, 320, 83193, 45, 340, 1163, 8477, 25, 320, 83193, 45, 8, 12264, 101, 320, 83193, 7, 83193, 55, 4489, 3883, 512, 7, 83193, 45, 8, 12264, 101, 1630, 198, 1163, 8477, 25, 320, 83193, 45, 8, 12264, 101, 1630], "tokenizer": "cl100k_base", "tokens_len": 219, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((N \u2227 1) \u2227 (\u00acX))\n\nOptions:\n(\u00ac(N \u2227 1)) \u2228 (\u00ac(\u00acX))\n\u00ac((\u00acX) \u2227 (N \u2227 1))\n\u00ac(N \u2227 (1 \u2227 (\u00acX)))\n\u00ac(N \u2227 (\u00acX))\n\u00ac((1 \u2227 N) \u2227 (\u00acX))\nChosen: \u00ac(N \u2227 (\u00acX))\n\nOptions:\n(\u00acN) \u2228 (\u00ac(\u00acX))\n\u00ac((\u00acX) \u2227 N)\nChosen: \u00ac((\u00acX) \u2227 N)\n\nOptions:\n(\u00ac(\u00acX)) \u2228 (\u00acN)\nChosen: (\u00ac(\u00acX)) \u2228 (\u00acN)\n\nOptions:\n(\u00acN) \u2228 (\u00ac(\u00acX))\nX \u2228 (\u00acN)\nChosen: (\u00acN) \u2228 (\u00ac(\u00acX))\n\nOptions:\n(\u00acN) \u2228 X\nChosen: (\u00acN) \u2228 X", "id": 1682}, {"char_len": 410, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 42, 75078, 650, 4489, 3883, 512, 42, 75078, 650, 198, 83193, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 53, 1192, 83193, 7, 83193, 7, 53, 75078, 735, 1192, 1163, 8477, 25, 97265, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 75078, 320, 83193, 7, 83193, 53, 1192, 83193, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 97265, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 53, 595, 75078, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 53, 595, 75078, 320, 83193, 7, 83193, 42, 4489, 3883, 512, 7, 83193, 7, 83193, 42, 595, 75078, 320, 83193, 7, 83193, 53, 1192, 7, 83193, 7, 83193, 53, 595, 75078, 735, 198, 53, 75078, 320, 83193, 7, 83193, 42, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 53, 595, 75078, 735, 271, 3883, 512, 42, 75078, 320, 83193, 7, 83193, 53, 1192, 53, 75078, 735, 198, 1163, 8477, 25, 650, 75078, 735], "tokenizer": "cl100k_base", "tokens_len": 200, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(K \u2227 V))\n\nOptions:\nK \u2227 V\n\u00ac((\u00acK) \u2228 (\u00acV))\n\u00ac(\u00ac(V \u2227 K))\nChosen: \u00ac((\u00acK) \u2228 (\u00acV))\n\nOptions:\n(\u00ac(\u00acK)) \u2227 (\u00ac(\u00acV))\n\u00ac((\u00acV) \u2228 (\u00acK))\nChosen: \u00ac((\u00acV) \u2228 (\u00acK))\n\nOptions:\n(\u00ac(\u00acV)) \u2227 (\u00ac(\u00acK))\nChosen: (\u00ac(\u00acV)) \u2227 (\u00ac(\u00acK))\n\nOptions:\n(\u00ac(\u00acK)) \u2227 (\u00ac(\u00acV))\n(\u00ac(\u00acV)) \u2227 K\nV \u2227 (\u00ac(\u00acK))\nChosen: (\u00ac(\u00acV)) \u2227 K\n\nOptions:\nK \u2227 (\u00ac(\u00acV))\nV \u2227 K\nChosen: V \u2227 K", "id": 1683}, {"char_len": 819, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 75078, 220, 15, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 55, 75078, 220, 15, 8, 12264, 101, 320, 36, 12264, 101, 469, 1192, 7799, 75078, 220, 15, 8, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 6054, 1209, 55, 75078, 220, 15, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 220, 15, 198, 1209, 55, 75078, 220, 15, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 16, 340, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 55, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 6774, 55, 75078, 220, 15, 8, 12264, 101, 469, 8, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 55, 75078, 220, 15, 8, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 15, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 15, 75078, 1630, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 15, 12264, 101, 320, 36, 12264, 101, 469, 1192, 15, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 6054, 7, 15, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 16, 340, 10953, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 36, 12264, 101, 469, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 15, 12264, 101, 469, 8, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 15, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 36, 12264, 101, 469, 340, 36, 12264, 101, 320, 36, 12264, 101, 320, 83193, 7, 83193, 15, 6054, 10953, 12264, 101, 469, 8, 12264, 101, 220, 15, 198, 10953, 12264, 101, 469, 8, 12264, 101, 320, 83193, 16, 340, 36, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 36, 12264, 101, 469, 8, 12264, 101, 220, 15, 271, 3883, 512, 36, 12264, 101, 469, 198, 15, 12264, 101, 320, 36, 12264, 101, 469, 340, 36, 12264, 101, 320, 36, 12264, 101, 220, 15, 340, 36, 12264, 101, 220, 15, 198, 1163, 8477, 25, 469, 12264, 101, 220, 15, 271, 3883, 512, 36, 198, 15, 12264, 101, 469, 198, 1163, 8477, 25, 469], "tokenizer": "cl100k_base", "tokens_len": 522, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2227 0) \u2228 (E \u2228 E)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 ((X \u2227 0) \u2228 (E \u2228 E))\n(X \u2227 0) \u2228 ((E \u2228 E) \u2228 (\u00ac(\u00ac0)))\n((X \u2227 0) \u2228 (E \u2228 E)) \u2228 0\n((X \u2227 0) \u2228 (E \u2228 E)) \u2228 (\u00ac1)\n((E \u2228 E) \u2228 (X \u2227 0)) \u2228 (\u00ac(\u00ac0))\n(((X \u2227 0) \u2228 E) \u2228 E) \u2228 (\u00ac(\u00ac0))\n((X \u2227 0) \u2228 E) \u2228 (\u00ac(\u00ac0))\n(0 \u2228 (E \u2228 E)) \u2228 (\u00ac(\u00ac0))\n((0 \u2227 X) \u2228 (E \u2228 E)) \u2228 (\u00ac(\u00ac0))\nChosen: (0 \u2228 (E \u2228 E)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (0 \u2228 (E \u2228 E))\n0 \u2228 ((E \u2228 E) \u2228 (\u00ac(\u00ac0)))\n(0 \u2228 (E \u2228 E)) \u2228 0\n(0 \u2228 (E \u2228 E)) \u2228 (\u00ac1)\n(E \u2228 E) \u2228 (\u00ac(\u00ac0))\n((E \u2228 E) \u2228 0) \u2228 (\u00ac(\u00ac0))\n((0 \u2228 E) \u2228 E) \u2228 (\u00ac(\u00ac0))\n(0 \u2228 E) \u2228 (\u00ac(\u00ac0))\nChosen: (E \u2228 E) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (E \u2228 E)\nE \u2228 (E \u2228 (\u00ac(\u00ac0)))\n(E \u2228 E) \u2228 0\n(E \u2228 E) \u2228 (\u00ac1)\nE \u2228 (\u00ac(\u00ac0))\nChosen: (E \u2228 E) \u2228 0\n\nOptions:\nE \u2228 E\n0 \u2228 (E \u2228 E)\nE \u2228 (E \u2228 0)\nE \u2228 0\nChosen: E \u2228 0\n\nOptions:\nE\n0 \u2228 E\nChosen: E", "id": 1684}, {"char_len": 797, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 44, 75078, 220, 16, 8, 75078, 320, 44, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 44, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 44, 12264, 101, 220, 16, 1192, 83193, 1209, 44, 12264, 101, 220, 16, 8, 75078, 320, 44, 75078, 220, 16, 1192, 83193, 7, 44, 75078, 320, 16, 75078, 320, 44, 12264, 101, 220, 16, 6054, 83193, 6774, 44, 75078, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 44, 75078, 220, 16, 8, 75078, 220, 16, 1192, 83193, 1209, 44, 75078, 220, 16, 8, 75078, 220, 16, 340, 83193, 1209, 44, 75078, 220, 16, 8, 75078, 320, 16, 12264, 101, 386, 1192, 83193, 7, 44, 75078, 320, 44, 12264, 101, 220, 16, 1192, 83193, 1209, 16, 75078, 386, 8, 75078, 320, 44, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 16, 75078, 386, 8, 75078, 320, 44, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 386, 595, 12264, 101, 320, 83193, 7, 44, 12264, 101, 220, 16, 1192, 83193, 1209, 44, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 386, 1192, 83193, 7, 16, 75078, 320, 44, 75078, 320, 44, 12264, 101, 220, 16, 6054, 83193, 6774, 16, 75078, 386, 8, 75078, 386, 8, 12264, 101, 1819, 16, 75078, 386, 8, 75078, 220, 16, 1192, 83193, 1209, 16, 75078, 386, 8, 75078, 220, 16, 340, 83193, 1209, 16, 75078, 386, 8, 75078, 320, 16, 12264, 101, 386, 1192, 83193, 7, 44, 75078, 320, 44, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 44, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 386, 4489, 3883, 512, 7, 83193, 7, 44, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 386, 1192, 83193, 6774, 44, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 386, 340, 83193, 1209, 44, 12264, 101, 220, 16, 8, 75078, 386, 340, 83193, 1209, 44, 12264, 101, 220, 16, 8, 75078, 320, 44, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 75078, 386, 1192, 83193, 1209, 16, 12264, 101, 386, 8, 75078, 320, 16, 75078, 386, 1192, 1163, 8477, 25, 97265, 1209, 44, 12264, 101, 220, 16, 8, 75078, 386, 696, 3883, 512, 7, 83193, 7, 44, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 44, 340, 83193, 7, 44, 75078, 320, 44, 12264, 101, 220, 16, 1192, 83193, 7, 16, 75078, 386, 340, 83193, 1209, 16, 12264, 101, 386, 8, 75078, 386, 340, 1163, 8477, 25, 97265, 7, 16, 75078, 386, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 83193, 44, 340, 83193, 44, 198, 83193, 7, 44, 75078, 220, 16, 340, 1163, 8477, 25, 97265, 44], "tokenizer": "cl100k_base", "tokens_len": 468, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((M \u2227 1) \u2227 (M \u2228 1))\n\nOptions:\n(\u00ac(M \u2227 1)) \u2228 (\u00ac(M \u2228 1))\n\u00ac((M \u2228 1) \u2227 (M \u2227 1))\n\u00ac(M \u2227 (1 \u2227 (M \u2228 1)))\n\u00ac(((M \u2227 1) \u2227 M) \u2228 ((M \u2227 1) \u2227 1))\n\u00ac((M \u2227 1) \u2227 1)\n\u00ac((M \u2227 1) \u2227 (1 \u2228 M))\n\u00ac(M \u2227 (M \u2228 1))\n\u00ac((1 \u2227 M) \u2227 (M \u2228 1))\nChosen: \u00ac((1 \u2227 M) \u2227 (M \u2228 1))\n\nOptions:\n(\u00ac(1 \u2227 M)) \u2228 (\u00ac(M \u2228 1))\n\u00ac((M \u2228 1) \u2227 (1 \u2227 M))\n\u00ac(1 \u2227 (M \u2227 (M \u2228 1)))\n\u00ac(((1 \u2227 M) \u2227 M) \u2228 ((1 \u2227 M) \u2227 1))\n\u00ac((1 \u2227 M) \u2227 1)\n\u00ac((1 \u2227 M) \u2227 (1 \u2228 M))\n\u00ac(M \u2227 (M \u2228 1))\nChosen: \u00ac((M \u2228 1) \u2227 (1 \u2227 M))\n\nOptions:\n(\u00ac(M \u2228 1)) \u2228 (\u00ac(1 \u2227 M))\n\u00ac(((M \u2228 1) \u2227 1) \u2227 M)\n\u00ac((M \u2228 1) \u2227 M)\n\u00ac((M \u2228 1) \u2227 (M \u2227 1))\n\u00ac(1 \u2227 (1 \u2227 M))\n\u00ac((1 \u2228 M) \u2227 (1 \u2227 M))\nChosen: \u00ac((M \u2228 1) \u2227 M)\n\nOptions:\n(\u00ac(M \u2228 1)) \u2228 (\u00acM)\n\u00ac(M \u2227 (M \u2228 1))\n\u00ac(1 \u2227 M)\n\u00ac((1 \u2228 M) \u2227 M)\nChosen: \u00ac(1 \u2227 M)\n\nOptions:\n(\u00ac1) \u2228 (\u00acM)\n\u00acM\n\u00ac(M \u2227 1)\nChosen: \u00acM", "id": 1685}, {"char_len": 1088, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 47, 8, 75078, 320, 33, 75078, 426, 4489, 3883, 512, 1209, 83193, 47, 8, 75078, 320, 33, 75078, 426, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 47, 595, 75078, 320, 33, 75078, 426, 340, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 33, 75078, 426, 8, 75078, 320, 83193, 47, 1192, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 340, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 47, 8, 75078, 426, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 47, 8, 75078, 320, 33, 75078, 426, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 47, 8, 75078, 320, 33, 75078, 426, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 696, 3883, 512, 6774, 83193, 47, 8, 75078, 426, 8, 75078, 426, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 47, 8, 75078, 426, 595, 75078, 426, 198, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 33, 75078, 1819, 83193, 47, 8, 75078, 426, 1192, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 1819, 33, 75078, 320, 83193, 47, 595, 75078, 426, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 595, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 340, 7, 83193, 15, 8, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 696, 3883, 512, 6774, 83193, 47, 8, 75078, 426, 8, 75078, 426, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 1819, 83193, 47, 8, 75078, 426, 595, 75078, 426, 198, 7, 83193, 15, 8, 75078, 320, 33, 75078, 1819, 83193, 47, 8, 75078, 426, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 47, 8, 75078, 320, 33, 75078, 426, 1192, 7, 83193, 15, 8, 75078, 1819, 33, 75078, 320, 83193, 47, 595, 75078, 426, 340, 16, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 33, 75078, 320, 83193, 47, 595, 75078, 426, 696, 3883, 512, 1209, 33, 75078, 320, 83193, 47, 595, 75078, 426, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 33, 75078, 320, 83193, 47, 7861, 75078, 426, 198, 7, 83193, 15, 8, 75078, 320, 33, 75078, 320, 33, 75078, 320, 83193, 47, 6054, 7, 83193, 15, 8, 75078, 320, 33, 75078, 1819, 83193, 47, 8, 75078, 426, 1192, 16, 75078, 1819, 33, 75078, 320, 83193, 47, 595, 75078, 426, 340, 1163, 8477, 25, 220, 16, 75078, 1819, 33, 75078, 320, 83193, 47, 595, 75078, 426, 696, 3883, 512, 5462, 75078, 320, 83193, 47, 595, 75078, 426, 198, 1209, 33, 75078, 320, 83193, 47, 595, 75078, 426, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 33, 75078, 320, 83193, 47, 7861, 75078, 426, 198, 16, 75078, 320, 33, 75078, 320, 33, 75078, 320, 83193, 47, 6054, 16, 75078, 320, 33, 75078, 1819, 83193, 47, 8, 75078, 426, 1192, 16, 75078, 11861, 83193, 47, 8, 75078, 426, 8, 75078, 426, 340, 1163, 8477, 25, 320, 33, 75078, 320, 83193, 47, 595, 75078, 426], "tokenizer": "cl100k_base", "tokens_len": 613, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 0)) \u2227 ((\u00acP) \u2227 (B \u2227 B))\n\nOptions:\n((\u00acP) \u2227 (B \u2227 B)) \u2227 (\u00ac(0 \u2228 0))\n((\u00ac(0 \u2228 0)) \u2227 (\u00acP)) \u2227 (B \u2227 B)\n(\u00ac(0 \u2228 0)) \u2227 ((B \u2227 B) \u2227 (\u00acP))\n(\u00ac(0 \u2228 0)) \u2227 (((\u00acP) \u2227 B) \u2227 B)\n(\u00ac(0 \u2228 0)) \u2227 ((\u00acP) \u2227 B)\n((\u00ac0) \u2227 (\u00ac0)) \u2227 ((\u00acP) \u2227 (B \u2227 B))\n(\u00ac0) \u2227 ((\u00acP) \u2227 (B \u2227 B))\nChosen: (\u00ac(0 \u2228 0)) \u2227 (((\u00acP) \u2227 B) \u2227 B)\n\nOptions:\n(((\u00acP) \u2227 B) \u2227 B) \u2227 (\u00ac(0 \u2228 0))\n((\u00ac(0 \u2228 0)) \u2227 ((\u00acP) \u2227 B)) \u2227 B\n(\u00ac(0 \u2228 0)) \u2227 (B \u2227 ((\u00acP) \u2227 B))\n(\u00ac(0 \u2228 0)) \u2227 ((B \u2227 (\u00acP)) \u2227 B)\n((\u00ac0) \u2227 (\u00ac0)) \u2227 (((\u00acP) \u2227 B) \u2227 B)\n(\u00ac0) \u2227 (((\u00acP) \u2227 B) \u2227 B)\nChosen: (\u00ac0) \u2227 (((\u00acP) \u2227 B) \u2227 B)\n\nOptions:\n(((\u00acP) \u2227 B) \u2227 B) \u2227 (\u00ac0)\n((\u00ac0) \u2227 ((\u00acP) \u2227 B)) \u2227 B\n(\u00ac0) \u2227 (B \u2227 ((\u00acP) \u2227 B))\n(\u00ac0) \u2227 ((\u00acP) \u2227 (B \u2227 B))\n(\u00ac0) \u2227 ((B \u2227 (\u00acP)) \u2227 B)\n1 \u2227 (((\u00acP) \u2227 B) \u2227 B)\nChosen: (\u00ac0) \u2227 ((B \u2227 (\u00acP)) \u2227 B)\n\nOptions:\n((B \u2227 (\u00acP)) \u2227 B) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (B \u2227 (\u00acP))) \u2227 B\n(\u00ac0) \u2227 (B \u2227 (B \u2227 (\u00acP)))\n(\u00ac0) \u2227 (B \u2227 ((\u00acP) \u2227 B))\n1 \u2227 ((B \u2227 (\u00acP)) \u2227 B)\nChosen: 1 \u2227 ((B \u2227 (\u00acP)) \u2227 B)\n\nOptions:\n(B \u2227 (\u00acP)) \u2227 B\n((B \u2227 (\u00acP)) \u2227 B) \u2227 1\n(1 \u2227 (B \u2227 (\u00acP))) \u2227 B\n1 \u2227 (B \u2227 (B \u2227 (\u00acP)))\n1 \u2227 (B \u2227 ((\u00acP) \u2227 B))\n1 \u2227 (((\u00acP) \u2227 B) \u2227 B)\nChosen: (B \u2227 (\u00acP)) \u2227 B", "id": 1686}, {"char_len": 1517, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1229, 4489, 3883, 512, 1209, 48, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1209, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 7, 16, 75078, 473, 595, 75078, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 320, 48, 75078, 220, 16, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 11861, 48, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 16, 75078, 1229, 8, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 39, 8, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 39, 75078, 220, 16, 595, 75078, 1819, 48, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 4489, 3883, 512, 6386, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1209, 83193, 7, 16, 75078, 473, 595, 75078, 1229, 8, 12264, 101, 1819, 83193, 7, 16, 75078, 473, 595, 75078, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 48, 12264, 101, 220, 15, 8, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 39, 595, 75078, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 39, 8, 75078, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 7, 83193, 7, 39, 75078, 220, 16, 595, 75078, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 696, 3883, 512, 1209, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1209, 83193, 7, 16, 75078, 473, 595, 75078, 320, 15, 12264, 101, 1229, 595, 12264, 101, 1819, 83193, 7, 16, 75078, 473, 595, 75078, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 320, 15, 12264, 101, 320, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 75078, 473, 595, 75078, 320, 48, 12264, 101, 1229, 340, 7, 83193, 7, 16, 75078, 473, 595, 75078, 1819, 48, 12264, 101, 220, 15, 8, 12264, 101, 1229, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 39, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 340, 7, 83193, 39, 8, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 340, 7, 83193, 7, 39, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 4489, 3883, 512, 1209, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 39, 1192, 1209, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 39, 340, 1209, 15, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 39, 75078, 220, 16, 1192, 6386, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 7, 15, 12264, 101, 320, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 6386, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1209, 48, 12264, 101, 220, 15, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1163, 8477, 25, 320, 48, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 16, 75078, 473, 4489, 3883, 512, 6386, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 39, 1192, 6386, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 39, 340, 6386, 12264, 101, 320, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 39, 75078, 220, 16, 1192, 1209, 48, 12264, 101, 220, 15, 8, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 6386, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 6386, 12264, 101, 320, 48, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 473, 1192, 1163, 8477, 25, 320, 48, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 75078, 473, 595], "tokenizer": "cl100k_base", "tokens_len": 937, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2227 H)) \u2227 ((Q \u2227 1) \u2228 (0 \u2228 Q))\n\nOptions:\n((Q \u2227 1) \u2228 (0 \u2228 Q)) \u2227 (\u00ac(1 \u2227 H))\n((\u00ac(1 \u2227 H)) \u2227 (Q \u2227 1)) \u2228 ((\u00ac(1 \u2227 H)) \u2227 (0 \u2228 Q))\n(\u00ac(1 \u2227 H)) \u2227 ((0 \u2228 Q) \u2228 (Q \u2227 1))\n(\u00ac(1 \u2227 H)) \u2227 (((Q \u2227 1) \u2228 0) \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 ((Q \u2227 1) \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 ((Q \u2227 1) \u2228 (Q \u2228 0))\n(\u00ac(1 \u2227 H)) \u2227 (Q \u2228 (0 \u2228 Q))\n(\u00ac(1 \u2227 H)) \u2227 ((1 \u2227 Q) \u2228 (0 \u2228 Q))\n((\u00ac1) \u2228 (\u00acH)) \u2227 ((Q \u2227 1) \u2228 (0 \u2228 Q))\n(\u00acH) \u2227 ((Q \u2227 1) \u2228 (0 \u2228 Q))\n(\u00ac(H \u2227 1)) \u2227 ((Q \u2227 1) \u2228 (0 \u2228 Q))\nChosen: (\u00ac(1 \u2227 H)) \u2227 (Q \u2228 (0 \u2228 Q))\n\nOptions:\n(Q \u2228 (0 \u2228 Q)) \u2227 (\u00ac(1 \u2227 H))\n((\u00ac(1 \u2227 H)) \u2227 Q) \u2228 ((\u00ac(1 \u2227 H)) \u2227 (0 \u2228 Q))\n(\u00ac(1 \u2227 H)) \u2227 ((0 \u2228 Q) \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 ((Q \u2228 0) \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 (Q \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 (Q \u2228 (Q \u2228 0))\n((\u00ac1) \u2228 (\u00acH)) \u2227 (Q \u2228 (0 \u2228 Q))\n(\u00acH) \u2227 (Q \u2228 (0 \u2228 Q))\n(\u00ac(H \u2227 1)) \u2227 (Q \u2228 (0 \u2228 Q))\nChosen: (\u00ac(1 \u2227 H)) \u2227 ((0 \u2228 Q) \u2228 Q)\n\nOptions:\n((0 \u2228 Q) \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\n((\u00ac(1 \u2227 H)) \u2227 (0 \u2228 Q)) \u2228 ((\u00ac(1 \u2227 H)) \u2227 Q)\n(\u00ac(1 \u2227 H)) \u2227 (0 \u2228 (Q \u2228 Q))\n(\u00ac(1 \u2227 H)) \u2227 (Q \u2228 Q)\n(\u00ac(1 \u2227 H)) \u2227 ((Q \u2228 0) \u2228 Q)\n((\u00ac1) \u2228 (\u00acH)) \u2227 ((0 \u2228 Q) \u2228 Q)\n(\u00acH) \u2227 ((0 \u2228 Q) \u2228 Q)\n(\u00ac(H \u2227 1)) \u2227 ((0 \u2228 Q) \u2228 Q)\nChosen: ((0 \u2228 Q) \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\n\nOptions:\n((0 \u2228 Q) \u2228 Q) \u2227 ((\u00ac1) \u2228 (\u00acH))\n((0 \u2228 Q) \u2228 Q) \u2227 (\u00acH)\n((0 \u2228 Q) \u2228 Q) \u2227 (\u00ac(H \u2227 1))\n(Q \u2228 (0 \u2228 Q)) \u2227 (\u00ac(1 \u2227 H))\n(0 \u2228 (Q \u2228 Q)) \u2227 (\u00ac(1 \u2227 H))\n(Q \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\n((Q \u2228 0) \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\nChosen: (Q \u2228 (0 \u2228 Q)) \u2227 (\u00ac(1 \u2227 H))\n\nOptions:\n(Q \u2228 (0 \u2228 Q)) \u2227 ((\u00ac1) \u2228 (\u00acH))\n(Q \u2228 (0 \u2228 Q)) \u2227 (\u00acH)\n(Q \u2228 (0 \u2228 Q)) \u2227 (\u00ac(H \u2227 1))\n((Q \u2228 0) \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\n(Q \u2228 Q) \u2227 (\u00ac(1 \u2227 H))\n(Q \u2228 (Q \u2228 0)) \u2227 (\u00ac(1 \u2227 H))\nChosen: (Q \u2228 Q) \u2227 (\u00ac(1 \u2227 H))", "id": 1687}, {"char_len": 1490, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 57, 75078, 1901, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 57, 75078, 1901, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 57, 75078, 1901, 595, 75078, 320, 83193, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 57, 75078, 320, 57, 75078, 320, 83193, 16, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 57, 75078, 1901, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 57, 75078, 320, 83193, 16, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 57, 75078, 1901, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 57, 75078, 1901, 8, 75078, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 57, 75078, 1901, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 595, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 595, 75078, 320, 57, 75078, 1901, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 16, 8, 75078, 1901, 8, 75078, 1901, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 1901, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 15, 75078, 320, 57, 75078, 1901, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 1192, 7, 15, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 57, 75078, 1901, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 1901, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 1901, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 595, 75078, 1901, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 57, 75078, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 15, 75078, 1901, 340, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 1901, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 1901, 340, 7, 15, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 1901, 340, 1163, 8477, 25, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 595, 75078, 1901, 271, 3883, 512, 57, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 7861, 75078, 1901, 198, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 220, 15, 8, 75078, 1901, 198, 6774, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 16, 595, 75078, 1901, 198, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 1901, 198, 1209, 15, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 595, 75078, 1901, 198, 1163, 8477, 25, 1901, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 4489, 3883, 512, 28955, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 7861, 75078, 320, 83193, 16, 340, 57, 75078, 1819, 83193, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 6054, 57, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 595, 75078, 220, 15, 340, 57, 75078, 11861, 83193, 15, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 16, 1192, 57, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 57, 75078, 1819, 15, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 57, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 7861, 75078, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 894, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((Z \u2227 Z) \u2227 (\u00ac1))\n\nOptions:\n((Z \u2227 Z) \u2227 (\u00ac1)) \u2227 ((0 \u2227 0) \u2228 (\u00ac0))\n(((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (Z \u2227 Z)) \u2227 (\u00ac1)\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (Z \u2227 Z))\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (Z \u2227 (Z \u2227 (\u00ac1)))\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((Z \u2227 Z) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (Z \u2227 (\u00ac1))\n((\u00ac0) \u2228 (0 \u2227 0)) \u2227 ((Z \u2227 Z) \u2227 (\u00ac1))\n((0 \u2227 0) \u2228 1) \u2227 ((Z \u2227 Z) \u2227 (\u00ac1))\n(0 \u2228 (\u00ac0)) \u2227 ((Z \u2227 Z) \u2227 (\u00ac1))\nChosen: ((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (Z \u2227 Z))\n\nOptions:\n((\u00ac1) \u2227 (Z \u2227 Z)) \u2227 ((0 \u2227 0) \u2228 (\u00ac0))\n(((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2227 (Z \u2227 Z)\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (((\u00ac1) \u2227 Z) \u2227 Z)\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 Z)\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (0 \u2227 (Z \u2227 Z))\n((\u00ac0) \u2228 (0 \u2227 0)) \u2227 ((\u00ac1) \u2227 (Z \u2227 Z))\n((0 \u2227 0) \u2228 1) \u2227 ((\u00ac1) \u2227 (Z \u2227 Z))\n(0 \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 (Z \u2227 Z))\nChosen: ((0 \u2227 0) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 Z)\n\nOptions:\n((\u00ac1) \u2227 Z) \u2227 ((0 \u2227 0) \u2228 (\u00ac0))\n(((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2227 Z\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (Z \u2227 (\u00ac1))\n((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (0 \u2227 Z)\n((\u00ac0) \u2228 (0 \u2227 0)) \u2227 ((\u00ac1) \u2227 Z)\n((0 \u2227 0) \u2228 1) \u2227 ((\u00ac1) \u2227 Z)\n(0 \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2227 Z)\nChosen: (((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2227 Z\n\nOptions:\nZ \u2227 (((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (\u00ac1))\n((\u00ac1) \u2227 ((0 \u2227 0) \u2228 (\u00ac0))) \u2227 Z\n(((0 \u2227 0) \u2228 (\u00ac0)) \u2227 0) \u2227 Z\n(((\u00ac0) \u2228 (0 \u2227 0)) \u2227 (\u00ac1)) \u2227 Z\n(((0 \u2227 0) \u2228 1) \u2227 (\u00ac1)) \u2227 Z\n((0 \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2227 Z\nChosen: Z \u2227 (((0 \u2227 0) \u2228 (\u00ac0)) \u2227 (\u00ac1))\n\nOptions:\n(Z \u2227 ((0 \u2227 0) \u2228 (\u00ac0))) \u2227 (\u00ac1)\nZ \u2227 ((\u00ac1) \u2227 ((0 \u2227 0) \u2228 (\u00ac0)))\nZ \u2227 (((0 \u2227 0) \u2228 (\u00ac0)) \u2227 0)\nZ \u2227 (((\u00ac0) \u2228 (0 \u2227 0)) \u2227 (\u00ac1))\nZ \u2227 (((0 \u2227 0) \u2228 1) \u2227 (\u00ac1))\nZ \u2227 ((0 \u2228 (\u00ac0)) \u2227 (\u00ac1))\nChosen: (Z \u2227 ((0 \u2227 0) \u2228 (\u00ac0))) \u2227 (\u00ac1)", "id": 1688}, {"char_len": 2681, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 1192, 6774, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 320, 51, 75078, 220, 16, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 15, 12264, 101, 507, 8, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 51, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 11861, 51, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 320, 51, 75078, 320, 16, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 320, 51, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 16, 75078, 350, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 507, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 507, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 507, 8, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 46, 12264, 101, 220, 15, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 16, 75078, 320, 15, 12264, 101, 507, 595, 75078, 1819, 51, 75078, 220, 16, 8, 75078, 320, 15, 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Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2227 (0 \u2228 O)) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\n\nOptions:\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n(((\u00ac0) \u2227 (0 \u2228 O)) \u2227 (T \u2227 1)) \u2227 (0 \u2227 1)\n(\u00ac0) \u2227 ((0 \u2228 O) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1)))\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 ((0 \u2227 1) \u2227 (T \u2227 1))\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 (((T \u2227 1) \u2227 0) \u2227 1)\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 (T \u2227 (1 \u2227 (0 \u2227 1)))\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 ((T \u2227 1) \u2227 0)\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 ((T \u2227 1) \u2227 (1 \u2227 0))\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 (T \u2227 (0 \u2227 1))\n((\u00ac0) \u2227 (0 \u2228 O)) \u2227 ((1 \u2227 T) \u2227 (0 \u2227 1))\n((0 \u2228 O) \u2227 (\u00ac0)) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\n(((\u00ac0) \u2227 0) \u2228 ((\u00ac0) \u2227 O)) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\n((\u00ac0) \u2227 O) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\n((\u00ac0) \u2227 (O \u2228 0)) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\n(1 \u2227 (0 \u2228 O)) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))\nChosen: ((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n\nOptions:\n(((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n(T \u2227 1) \u2227 ((0 \u2227 1) \u2227 ((\u00ac0) \u2227 (0 \u2228 O)))\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((0 \u2228 O) \u2227 (\u00ac0))\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (((\u00ac0) \u2227 0) \u2228 ((\u00ac0) \u2227 O))\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 O)\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (O \u2228 0))\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (1 \u2227 (0 \u2228 O))\n((0 \u2227 1) \u2227 (T \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n(((T \u2227 1) \u2227 0) \u2227 1) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n(T \u2227 (1 \u2227 (0 \u2227 1))) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n((T \u2227 1) \u2227 0) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n((T \u2227 1) \u2227 (1 \u2227 0)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n(T \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\n((1 \u2227 T) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2228 O))\nChosen: (((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n\nOptions:\n(0 \u2228 O) \u2227 (((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0))\n((((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 0) \u2228 ((((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 O)\n(((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 O\n(((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 (O \u2228 0)\n((\u00ac0) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))) \u2227 (0 \u2228 O)\n((T \u2227 1) \u2227 ((0 \u2227 1) \u2227 (\u00ac0))) \u2227 (0 \u2228 O)\n(((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 1) \u2227 (0 \u2228 O)\n(((0 \u2227 1) \u2227 (T \u2227 1)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n((((T \u2227 1) \u2227 0) \u2227 1) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n((T \u2227 (1 \u2227 (0 \u2227 1))) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n(((T \u2227 1) \u2227 0) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n(((T \u2227 1) \u2227 (1 \u2227 0)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n((T \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\n(((1 \u2227 T) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 (0 \u2228 O)\nChosen: (((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 O\n\nOptions:\nO \u2227 (((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 (\u00ac0))\n((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 O)\n((\u00ac0) \u2227 ((T \u2227 1) \u2227 (0 \u2227 1))) \u2227 O\n((T \u2227 1) \u2227 ((0 \u2227 1) \u2227 (\u00ac0))) \u2227 O\n(((T \u2227 1) \u2227 (0 \u2227 1)) \u2227 1) \u2227 O\n(((0 \u2227 1) \u2227 (T \u2227 1)) \u2227 (\u00ac0)) \u2227 O\n((((T \u2227 1) \u2227 0) \u2227 1) \u2227 (\u00ac0)) \u2227 O\n((T \u2227 (1 \u2227 (0 \u2227 1))) \u2227 (\u00ac0)) \u2227 O\n(((T \u2227 1) \u2227 0) \u2227 (\u00ac0)) \u2227 O\n(((T \u2227 1) \u2227 (1 \u2227 0)) \u2227 (\u00ac0)) \u2227 O\n((T \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 O\n(((1 \u2227 T) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)) \u2227 O\nChosen: (((T \u2227 1) \u2227 0) \u2227 (\u00ac0)) \u2227 O\n\nOptions:\nO \u2227 (((T \u2227 1) \u2227 0) \u2227 (\u00ac0))\n((T \u2227 1) \u2227 0) \u2227 ((\u00ac0) \u2227 O)\n((\u00ac0) \u2227 ((T \u2227 1) \u2227 0)) \u2227 O\n((T \u2227 1) \u2227 (0 \u2227 (\u00ac0))) \u2227 O\n(((T \u2227 1) \u2227 0) \u2227 1) \u2227 O\n(0 \u2227 (\u00ac0)) \u2227 O\n((0 \u2227 (T \u2227 1)) \u2227 (\u00ac0)) \u2227 O\n((T \u2227 (1 \u2227 0)) \u2227 (\u00ac0)) \u2227 O\n((T \u2227 0) \u2227 (\u00ac0)) \u2227 O\n(((1 \u2227 T) \u2227 0) \u2227 (\u00ac0)) \u2227 O\nChosen: ((T \u2227 0) \u2227 (\u00ac0)) \u2227 O", 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83193, 16, 8, 12264, 101, 320, 43, 75078, 452, 595, 12264, 101, 452, 198, 7, 83193, 16, 8, 12264, 101, 320, 45, 12264, 101, 320, 43, 75078, 452, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 45, 75078, 445, 8, 12264, 101, 452, 340, 15, 12264, 101, 1819, 43, 75078, 452, 8, 12264, 101, 452, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 452, 595, 12264, 101, 452], "tokenizer": "cl100k_base", "tokens_len": 1023, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(L \u2228 1)) \u2228 ((N \u2227 L) \u2228 (N \u2227 1))\n\nOptions:\n((N \u2227 L) \u2228 (N \u2227 1)) \u2228 (\u00ac(L \u2228 1))\n((\u00ac(L \u2228 1)) \u2228 (N \u2227 L)) \u2228 (N \u2227 1)\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 1) \u2228 (N \u2227 L))\n(\u00ac(L \u2228 1)) \u2228 (((N \u2227 L) \u2228 N) \u2227 ((N \u2227 L) \u2228 1))\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 L) \u2228 N)\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 L) \u2228 (1 \u2227 N))\n(\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 (N \u2227 1))\n((\u00acL) \u2227 (\u00ac1)) \u2228 ((N \u2227 L) \u2228 (N \u2227 1))\n(\u00ac1) \u2228 ((N \u2227 L) \u2228 (N \u2227 1))\n(\u00ac(1 \u2228 L)) \u2228 ((N \u2227 L) \u2228 (N \u2227 1))\nChosen: (\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 (N \u2227 1))\n\nOptions:\n((L \u2227 N) \u2228 (N \u2227 1)) \u2228 (\u00ac(L \u2228 1))\n((\u00ac(L \u2228 1)) \u2228 (L \u2227 N)) \u2228 (N \u2227 1)\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 1) \u2228 (L \u2227 N))\n(\u00ac(L \u2228 1)) \u2228 (((L \u2227 N) \u2228 N) \u2227 ((L \u2227 N) \u2228 1))\n(\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 N)\n(\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 (1 \u2227 N))\n((\u00acL) \u2227 (\u00ac1)) \u2228 ((L \u2227 N) \u2228 (N \u2227 1))\n(\u00ac1) \u2228 ((L \u2227 N) \u2228 (N \u2227 1))\n(\u00ac(1 \u2228 L)) \u2228 ((L \u2227 N) \u2228 (N \u2227 1))\nChosen: (\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 (1 \u2227 N))\n\nOptions:\n((L \u2227 N) \u2228 (1 \u2227 N)) \u2228 (\u00ac(L \u2228 1))\n((\u00ac(L \u2228 1)) \u2228 (L \u2227 N)) \u2228 (1 \u2227 N)\n(\u00ac(L \u2228 1)) \u2228 ((1 \u2227 N) \u2228 (L \u2227 N))\n(\u00ac(L \u2228 1)) \u2228 (((L \u2227 N) \u2228 1) \u2227 ((L \u2227 N) \u2228 N))\n(\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 N)\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 L) \u2228 (1 \u2227 N))\n((\u00acL) \u2227 (\u00ac1)) \u2228 ((L \u2227 N) \u2228 (1 \u2227 N))\n(\u00ac1) \u2228 ((L \u2227 N) \u2228 (1 \u2227 N))\n(\u00ac(1 \u2228 L)) \u2228 ((L \u2227 N) \u2228 (1 \u2227 N))\nChosen: (\u00ac(L \u2228 1)) \u2228 ((L \u2227 N) \u2228 N)\n\nOptions:\n((L \u2227 N) \u2228 N) \u2228 (\u00ac(L \u2228 1))\n((\u00ac(L \u2228 1)) \u2228 (L \u2227 N)) \u2228 N\n(\u00ac(L \u2228 1)) \u2228 (N \u2228 (L \u2227 N))\n(\u00ac(L \u2228 1)) \u2228 ((N \u2227 L) \u2228 N)\n((\u00acL) \u2227 (\u00ac1)) \u2228 ((L \u2227 N) \u2228 N)\n(\u00ac1) \u2228 ((L \u2227 N) \u2228 N)\n(\u00ac(1 \u2228 L)) \u2228 ((L \u2227 N) \u2228 N)\nChosen: (\u00ac1) \u2228 ((L \u2227 N) \u2228 N)\n\nOptions:\n((L \u2227 N) \u2228 N) \u2228 (\u00ac1)\n((\u00ac1) \u2228 (L \u2227 N)) \u2228 N\n(\u00ac1) \u2228 (N \u2228 (L \u2227 N))\n(\u00ac1) \u2228 ((N \u2227 L) \u2228 N)\n0 \u2228 ((L \u2227 N) \u2228 N)\nChosen: ((\u00ac1) \u2228 (L \u2227 N)) \u2228 N", "id": 1690}, {"char_len": 2516, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 37, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 37, 75078, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 37, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 37, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 435, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 6774, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 16, 75078, 320, 37, 75078, 220, 15, 595, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 75078, 435, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 11861, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 37, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 696, 3883, 512, 1209, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 7861, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 37, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 75078, 220, 16, 8, 75078, 435, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 320, 16, 75078, 220, 15, 595, 75078, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 19789, 3883, 512, 7, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 7861, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 435, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 435, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 37, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 16, 75078, 220, 15, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 7, 15, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 19789, 3883, 512, 7, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 7861, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 220, 15, 198, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 37, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 435, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 435, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 1819, 37, 75078, 220, 15, 8, 75078, 220, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 220, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 16, 75078, 220, 15, 6054, 6774, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 7, 15, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 37, 75078, 320, 15, 75078, 220, 16, 6054, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1602, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 (1 \u2227 0))\n\nOptions:\n((F \u2227 0) \u2227 (1 \u2227 0)) \u2227 ((0 \u2227 0) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (F \u2227 0)) \u2227 (1 \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((1 \u2227 0) \u2227 (F \u2227 0))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (((F \u2227 0) \u2227 1) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (F \u2227 (0 \u2227 (1 \u2227 0)))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 (0 \u2227 1))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (1 \u2227 0))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((0 \u2227 F) \u2227 (1 \u2227 0))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 ((F \u2227 0) \u2227 (1 \u2227 0))\n((0 \u2227 0) \u2228 0) \u2227 ((F \u2227 0) \u2227 (1 \u2227 0))\n(0 \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 (1 \u2227 0))\nChosen: ((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (((F \u2227 0) \u2227 1) \u2227 0)\n\nOptions:\n(((F \u2227 0) \u2227 1) \u2227 0) \u2227 ((0 \u2227 0) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 1)) \u2227 0\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 0\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 ((F \u2227 0) \u2227 1))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((1 \u2227 (F \u2227 0)) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((0 \u2227 1) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (((0 \u2227 F) \u2227 1) \u2227 0)\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (((F \u2227 0) \u2227 1) \u2227 0)\n((0 \u2227 0) \u2228 0) \u2227 (((F \u2227 0) \u2227 1) \u2227 0)\n(0 \u2228 (\u00ac1)) \u2227 (((F \u2227 0) \u2227 1) \u2227 0)\nChosen: ((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\n\nOptions:\n((F \u2227 (0 \u2227 1)) \u2227 0) \u2227 ((0 \u2227 0) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (F \u2227 (0 \u2227 1))) \u2227 0\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 0\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (F \u2227 ((0 \u2227 1) \u2227 0))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (((0 \u2227 1) \u2227 F) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 0) \u2227 0)\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((F \u2227 (1 \u2227 0)) \u2227 0)\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\n((0 \u2227 0) \u2228 0) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\n(0 \u2228 (\u00ac1)) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\nChosen: ((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n\nOptions:\n(0 \u2227 (F \u2227 (0 \u2227 1))) \u2227 ((0 \u2227 0) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (\u00ac1)) \u2227 0) \u2227 (F \u2227 (0 \u2227 1))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 0\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 ((0 \u2227 F) \u2227 (0 \u2227 1))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 ((0 \u2227 1) \u2227 F))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 ((F \u2227 0) \u2227 1))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (F \u2227 0))\n((0 \u2227 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 (F \u2227 (1 \u2227 0)))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n((0 \u2227 0) \u2228 0) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n(0 \u2228 (\u00ac1)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\nChosen: ((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n\nOptions:\n(0 \u2227 (F \u2227 (0 \u2227 1))) \u2227 ((\u00ac1) \u2228 (0 \u2227 0))\n(((\u00ac1) \u2228 (0 \u2227 0)) \u2227 0) \u2227 (F \u2227 (0 \u2227 1))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 0\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 ((F \u2227 (0 \u2227 1)) \u2227 0)\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 ((0 \u2227 F) \u2227 (0 \u2227 1))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 ((0 \u2227 1) \u2227 F))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 ((F \u2227 0) \u2227 1))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (F \u2227 0))\n((\u00ac1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (F \u2227 (1 \u2227 0)))\n(((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 0)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n((\u00ac1) \u2228 0) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\n(0 \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (F \u2227 (0 \u2227 1)))\nChosen: ((\u00ac1) \u2228 (0 \u2227 0)) \u2227 0", "id": 1691}, {"char_len": 371, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 44, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 44, 595, 12264, 101, 320, 83193, 15, 340, 44, 12264, 101, 320, 83193, 7, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 44, 1192, 7, 83193, 7, 83193, 44, 595, 12264, 101, 220, 16, 198, 44, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 83193, 44, 1192, 44, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 83193, 44, 4489, 3883, 512, 16, 198, 16, 12264, 101, 386, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 200, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acM)) \u2228 (\u00ac(0 \u2227 0))\n\nOptions:\n(\u00ac(0 \u2227 0)) \u2228 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2228 ((\u00ac0) \u2228 (\u00ac0))\n(\u00ac(\u00acM)) \u2228 (\u00ac0)\nM \u2228 (\u00ac(0 \u2227 0))\nChosen: (\u00ac(\u00acM)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(\u00acM))\n(\u00ac(\u00acM)) \u2228 1\nM \u2228 (\u00ac0)\nChosen: (\u00ac(\u00acM)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(\u00acM))\nM \u2228 1\nChosen: 1 \u2228 (\u00ac(\u00acM))\n\nOptions:\n1\n1 \u2228 M\nChosen: 1", "id": 1692}, {"char_len": 3710, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 42, 12264, 101, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 34, 1192, 1209, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 42, 12264, 101, 320, 16, 12264, 101, 320, 83193, 34, 6054, 1209, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 16, 12264, 101, 735, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 34, 75078, 220, 16, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 16, 75078, 356, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 75078, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 1209, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 6054, 67944, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 42, 12264, 101, 220, 16, 595, 12264, 101, 52200, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 42, 12264, 101, 320, 16, 12264, 101, 320, 83193, 34, 6054, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 735, 8, 12264, 101, 320, 83193, 34, 1192, 67944, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 34, 75078, 220, 16, 7861, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 75078, 220, 16, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 320, 34, 75078, 220, 16, 595, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 16, 75078, 356, 8, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 3100, 12264, 101, 220, 15, 8, 75078, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 6054, 6774, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 42, 12264, 101, 220, 16, 595, 12264, 101, 11861, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 42, 12264, 101, 320, 16, 12264, 101, 320, 83193, 34, 6054, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 735, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 34, 75078, 220, 16, 7861, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 3100, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 15, 12264, 101, 356, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 595, 75078, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 3100, 12264, 101, 220, 15, 8, 75078, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 6054, 6774, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 34, 595, 12264, 101, 11861, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 16, 12264, 101, 735, 1192, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 6774, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 34, 75078, 220, 16, 7861, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 3100, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 356, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 42, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 696, 3883, 512, 6774, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 8, 75078, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 3100, 12264, 101, 220, 15, 8, 75078, 11861, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 1192, 6774, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 735, 595, 12264, 101, 11861, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 220, 16, 198, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 735, 1192, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 42, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 16, 340, 6774, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 6774, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 75078, 220, 16, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 34, 75078, 220, 16, 7861, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 34, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 356, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 3100, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 356, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 735, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 34, 12264, 101, 220, 15, 8, 75078, 1819, 34, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 2567, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n\nOptions:\n((K \u2228 1) \u2228 (\u00acC)) \u2227 ((C \u2227 1) \u2228 (0 \u2227 0))\n(((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 (K \u2228 1)) \u2228 (((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 (\u00acC))\n((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 (K \u2228 (1 \u2228 (\u00acC)))\n((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 (1 \u2228 (\u00acC))\n((C \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((1 \u2228 K) \u2228 (\u00acC))\n((0 \u2227 0) \u2228 (C \u2227 1)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2227 1) \u2228 0) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(C \u2228 (0 \u2227 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((1 \u2227 C) \u2228 (0 \u2227 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\nChosen: (((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n\nOptions:\n((K \u2228 1) \u2228 (\u00acC)) \u2227 (((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0))\n((C \u2227 1) \u2228 0) \u2227 (((C \u2227 1) \u2228 0) \u2227 ((K \u2228 1) \u2228 (\u00acC)))\n((((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (K \u2228 1)) \u2228 ((((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n(((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (K \u2228 (1 \u2228 (\u00acC)))\n(((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (1 \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((1 \u2228 K) \u2228 (\u00acC))\n((((C \u2227 1) \u2228 0) \u2227 (C \u2227 1)) \u2228 (((C \u2227 1) \u2228 0) \u2227 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 (C \u2227 1)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 (0 \u2228 (C \u2227 1))) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 (C \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 ((1 \u2227 C) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2227 1) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((0 \u2228 (C \u2227 1)) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((1 \u2227 C) \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\nChosen: ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n\nOptions:\n((K \u2228 1) \u2228 (\u00acC)) \u2227 ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0))\n(C \u2228 0) \u2227 (((C \u2227 1) \u2228 0) \u2227 ((K \u2228 1) \u2228 (\u00acC)))\n(((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (K \u2228 1)) \u2228 (((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (\u00acC))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (K \u2228 (1 \u2228 (\u00acC)))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (1 \u2228 (\u00acC))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((1 \u2228 K) \u2228 (\u00acC))\n(((C \u2227 1) \u2228 0) \u2227 (C \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(((C \u2228 0) \u2227 (C \u2227 1)) \u2228 ((C \u2228 0) \u2227 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2228 0) \u2227 (C \u2227 1)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2228 0) \u2227 (0 \u2228 (C \u2227 1))) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2228 0) \u2227 (C \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((C \u2228 0) \u2227 ((1 \u2227 C) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n(C \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\n((0 \u2228 C) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 1) \u2228 (\u00acC))\nChosen: ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n\nOptions:\n((\u00acC) \u2228 (K \u2228 1)) \u2227 ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0))\n(C \u2228 0) \u2227 (((C \u2227 1) \u2228 0) \u2227 ((\u00acC) \u2228 (K \u2228 1)))\n(((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (\u00acC)) \u2228 (((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (K \u2228 1))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 1)\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (1 \u2228 K))\n(((C \u2227 1) \u2228 0) \u2227 (C \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n(((C \u2228 0) \u2227 (C \u2227 1)) \u2228 ((C \u2228 0) \u2227 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2228 0) \u2227 (C \u2227 1)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2228 0) \u2227 (0 \u2228 (C \u2227 1))) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2228 0) \u2227 (C \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((C \u2228 0) \u2227 ((1 \u2227 C) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n(C \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\n((0 \u2228 C) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 (K \u2228 1))\nChosen: ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n\nOptions:\n(((\u00acC) \u2228 K) \u2228 1) \u2227 ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0))\n(C \u2228 0) \u2227 (((C \u2227 1) \u2228 0) \u2227 (((\u00acC) \u2228 K) \u2228 1))\n(((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((\u00acC) \u2228 K)) \u2228 (((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 1)\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 1\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (1 \u2228 ((\u00acC) \u2228 K))\n((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 ((K \u2228 (\u00acC)) \u2228 1)\n(((C \u2227 1) \u2228 0) \u2227 (C \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n(((C \u2228 0) \u2227 (C \u2227 1)) \u2228 ((C \u2228 0) \u2227 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((C \u2228 0) \u2227 (C \u2227 1)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((C \u2228 0) \u2227 (0 \u2228 (C \u2227 1))) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((C \u2228 0) \u2227 (C \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((C \u2228 0) \u2227 ((1 \u2227 C) \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n(C \u2227 ((C \u2227 1) \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\n((0 \u2228 C) \u2227 ((C \u2227 1) \u2228 0)) \u2227 (((\u00acC) \u2228 K) \u2228 1)\nChosen: ((C \u2228 0) \u2227 ((C \u2227 1) \u2228 0)) \u2227 1", "id": 1693}, {"char_len": 672, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 15, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 16, 696, 3883, 512, 15, 198, 7, 83193, 16, 8, 75078, 220, 15, 198, 15, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 412, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 1)) \u2227 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac1)\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac(0 \u2228 1))\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac(1 \u2228 0))\n(\u00ac1) \u2227 (\u00ac(1 \u2228 0))\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(1 \u2228 0))\nChosen: (\u00ac(1 \u2228 0)) \u2227 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac1)\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(0 \u2228 1))\n((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2228 0))\n(\u00ac1) \u2227 (\u00ac(1 \u2228 0))\nChosen: (\u00ac1) \u2227 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 ((\u00ac1) \u2227 (\u00ac0))\n(\u00ac1) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac(0 \u2228 1))\n0 \u2227 (\u00ac(1 \u2228 0))\nChosen: (\u00ac1) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 0\n0 \u2227 (\u00ac1)\nChosen: 0 \u2227 (\u00ac1)\n\nOptions:\n0\n(\u00ac1) \u2227 0\n0 \u2227 0\nChosen: 0", "id": 1694}, {"char_len": 2024, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 37, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 37, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 37, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 1192, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 37, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 6774, 83193, 37, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 67944, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 37, 595, 75078, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 16, 340, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 67944, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 320, 83193, 37, 595, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 19789, 3883, 512, 1209, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 15, 340, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 83193, 37, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 83193, 15, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 37, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 15, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 7, 15, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 6054, 1163, 8477, 25, 1819, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 37, 8, 75078, 220, 15, 340, 6774, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 7861, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 320, 83193, 37, 6054, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 220, 15, 340, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 37, 8, 75078, 220, 15, 8, 12264, 101, 11861, 83193, 37, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 15, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 1192, 7, 15, 75078, 320, 83193, 37, 595, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 16, 75078, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1370, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acF) \u2227 (0 \u2228 1)) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 ((\u00acF) \u2227 (0 \u2228 1))\n((\u00acF) \u2227 (0 \u2228 1)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n((\u00acF) \u2227 (0 \u2228 1)) \u2228 (\u00ac1)\n((\u00acF) \u2227 (0 \u2228 1)) \u2228 (\u00ac(0 \u2228 1))\n((0 \u2228 1) \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0))\n(((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac(1 \u2228 0))\n((\u00acF) \u2227 1) \u2228 (\u00ac(1 \u2228 0))\n((\u00acF) \u2227 (1 \u2228 0)) \u2228 (\u00ac(1 \u2228 0))\nChosen: (((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1))\n((\u00acF) \u2227 0) \u2228 (((\u00acF) \u2227 1) \u2228 (\u00ac(1 \u2228 0)))\n(((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1)) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n(((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac1)\n(((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac(0 \u2228 1))\n(((\u00acF) \u2227 1) \u2228 ((\u00acF) \u2227 0)) \u2228 (\u00ac(1 \u2228 0))\n((((\u00acF) \u2227 0) \u2228 (\u00acF)) \u2227 (((\u00acF) \u2227 0) \u2228 1)) \u2228 (\u00ac(1 \u2228 0))\n(((\u00acF) \u2227 0) \u2228 (\u00acF)) \u2228 (\u00ac(1 \u2228 0))\n(((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac(1 \u2228 0))\n(0 \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac(1 \u2228 0))\n((0 \u2227 (\u00acF)) \u2228 ((\u00acF) \u2227 1)) \u2228 (\u00ac(1 \u2228 0))\nChosen: (((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac(1 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2228 (((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF)))\n((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0)))\n(((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 ((\u00ac1) \u2227 (\u00ac0))\n(((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac1)\n(((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac(0 \u2228 1))\n((1 \u2227 (\u00acF)) \u2228 ((\u00acF) \u2227 0)) \u2228 (\u00ac(1 \u2228 0))\n((((\u00acF) \u2227 0) \u2228 1) \u2227 (((\u00acF) \u2227 0) \u2228 (\u00acF))) \u2228 (\u00ac(1 \u2228 0))\n(((\u00acF) \u2227 0) \u2228 (\u00acF)) \u2228 (\u00ac(1 \u2228 0))\n(0 \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac(1 \u2228 0))\n((0 \u2227 (\u00acF)) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac(1 \u2228 0))\nChosen: ((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0)))\n\nOptions:\n((1 \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0))) \u2228 ((\u00acF) \u2227 0)\n((\u00acF) \u2227 0) \u2228 ((\u00ac(1 \u2228 0)) \u2228 (1 \u2227 (\u00acF)))\n((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 ((\u00ac1) \u2227 (\u00ac0)))\n((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac1))\n((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac(0 \u2228 1)))\n((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2228 (\u00ac(1 \u2228 0)))\n((\u00acF) \u2227 0) \u2228 (((\u00acF) \u2227 1) \u2228 (\u00ac(1 \u2228 0)))\n0 \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0)))\n(0 \u2227 (\u00acF)) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac(1 \u2228 0)))\nChosen: ((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2227 (\u00acF)) \u2228 (\u00ac1)) \u2228 ((\u00acF) \u2227 0)\n(((\u00acF) \u2227 0) \u2228 (1 \u2227 (\u00acF))) \u2228 (\u00ac1)\n((\u00acF) \u2227 0) \u2228 ((\u00ac1) \u2228 (1 \u2227 (\u00acF)))\n((\u00acF) \u2227 0) \u2228 ((1 \u2227 (\u00acF)) \u2228 0)\n((\u00acF) \u2227 0) \u2228 ((\u00acF) \u2228 (\u00ac1))\n((\u00acF) \u2227 0) \u2228 (((\u00acF) \u2227 1) \u2228 (\u00ac1))\n0 \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac1))\n(0 \u2227 (\u00acF)) \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac1))\nChosen: 0 \u2228 ((1 \u2227 (\u00acF)) \u2228 (\u00ac1))", "id": 1695}, {"char_len": 416, "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, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 46, 1192, 83193, 1209, 83193, 46, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 83193, 7, 16, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 46, 1192, 83193, 16, 198, 83193, 1209, 83193, 46, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 46, 4489, 3883, 512, 7, 83193, 7, 83193, 46, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 507, 198, 15, 75078, 320, 83193, 7, 83193, 46, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 46, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 7, 83193, 46, 595, 75078, 220, 15, 198, 46, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 507, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 507, 198, 46, 75078, 220, 15, 198, 1163, 8477, 25, 507, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 212, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2227 1) \u2228 (\u00acO))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2227 (\u00ac(\u00acO))\n\u00ac((\u00acO) \u2228 (1 \u2227 1))\n\u00ac(1 \u2228 (\u00acO))\nChosen: \u00ac(1 \u2228 (\u00acO))\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(\u00acO))\n\u00ac1\n\u00ac((\u00acO) \u2228 1)\nChosen: (\u00ac1) \u2227 (\u00ac(\u00acO))\n\nOptions:\n(\u00ac(\u00acO)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 O\n0 \u2227 (\u00ac(\u00acO))\nChosen: (\u00ac(\u00acO)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac(\u00acO)) \u2227 0\nO \u2227 (\u00ac1)\nChosen: O \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 O\nO \u2227 0\nChosen: O \u2227 0", "id": 1696}, {"char_len": 2096, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 4489, 3883, 512, 1209, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 595, 75078, 1819, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 1192, 6774, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 320, 83193, 39, 595, 75078, 320, 15, 12264, 101, 432, 340, 7, 15, 12264, 101, 473, 8, 75078, 1819, 16, 12264, 101, 432, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 6054, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 15, 12264, 101, 432, 8, 75078, 320, 83193, 39, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 11861, 83193, 39, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 39, 8, 75078, 432, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 432, 8, 75078, 320, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 6774, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 473, 8, 75078, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 49, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 11135, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 1209, 39, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 1192, 6774, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 320, 83193, 39, 595, 75078, 320, 49, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 473, 8, 75078, 1819, 16, 12264, 101, 432, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 6054, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 49, 12264, 101, 220, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 11861, 83193, 39, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 39, 8, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 1209, 16, 12264, 101, 432, 8, 75078, 320, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 6774, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 473, 8, 75078, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 320, 49, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 11135, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1209, 39, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 473, 8, 75078, 220, 16, 340, 6774, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 49, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 473, 8, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 6054, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 49, 12264, 101, 220, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 11861, 83193, 39, 8, 75078, 432, 8, 12264, 101, 1819, 83193, 39, 8, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 15, 12264, 101, 432, 1192, 7, 15, 12264, 101, 473, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1209, 39, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 49, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 696, 3883, 512, 1209, 83193, 39, 8, 75078, 432, 8, 75078, 1819, 15, 12264, 101, 473, 8, 75078, 220, 16, 340, 6774, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 320, 83193, 39, 595, 75078, 432, 198, 7, 15, 12264, 101, 473, 8, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 1192, 1209, 15, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 320, 49, 75078, 320, 83193, 39, 1192, 7, 15, 12264, 101, 473, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 7, 16, 75078, 320, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 11135, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 1209, 39, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 1163, 8477, 25, 320, 15, 12264, 101, 473, 8, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 4489, 3883, 512, 7, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 595, 75078, 320, 15, 12264, 101, 473, 340, 7, 15, 12264, 101, 473, 8, 75078, 1819, 83193, 39, 8, 75078, 432, 340, 7, 15, 12264, 101, 473, 8, 75078, 11861, 83193, 39, 8, 75078, 432, 8, 75078, 220, 16, 340, 7, 15, 12264, 101, 473, 8, 75078, 1819, 16, 75078, 320, 83193, 39, 595, 75078, 432, 340, 7, 15, 12264, 101, 473, 8, 75078, 320, 16, 75078, 320, 49, 75078, 320, 83193, 39, 6054, 39, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 1192, 11135, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 1192, 1163, 8477, 25, 320, 39, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1819, 83193, 39, 8, 75078, 432, 595], "tokenizer": "cl100k_base", "tokens_len": 1302, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n\nOptions:\n((\u00acH) \u2227 (0 \u2228 R)) \u2227 ((0 \u2228 H) \u2227 (1 \u2228 R))\n(((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 (\u00acH)) \u2227 (0 \u2228 R)\n(0 \u2228 H) \u2227 ((1 \u2228 R) \u2227 ((\u00acH) \u2227 (0 \u2228 R)))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((0 \u2228 R) \u2227 (\u00acH))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 (((\u00acH) \u2227 0) \u2228 ((\u00acH) \u2227 R))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 R)\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n((1 \u2228 R) \u2227 (0 \u2228 H)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n(((0 \u2228 H) \u2227 1) \u2228 ((0 \u2228 H) \u2227 R)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n((0 \u2228 H) \u2227 (R \u2228 1)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n(H \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n((H \u2228 0) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\nChosen: ((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n\nOptions:\n((\u00acH) \u2227 (R \u2228 0)) \u2227 ((0 \u2228 H) \u2227 (1 \u2228 R))\n(((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 (\u00acH)) \u2227 (R \u2228 0)\n(0 \u2228 H) \u2227 ((1 \u2228 R) \u2227 ((\u00acH) \u2227 (R \u2228 0)))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((R \u2228 0) \u2227 (\u00acH))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 (((\u00acH) \u2227 R) \u2228 ((\u00acH) \u2227 0))\n((0 \u2228 H) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 R)\n((1 \u2228 R) \u2227 (0 \u2228 H)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n(((0 \u2228 H) \u2227 1) \u2228 ((0 \u2228 H) \u2227 R)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n((0 \u2228 H) \u2227 (R \u2228 1)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n(H \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n((H \u2228 0) \u2227 (1 \u2228 R)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\nChosen: ((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n\nOptions:\n((\u00acH) \u2227 (R \u2228 0)) \u2227 ((0 \u2228 H) \u2227 1)\n(((0 \u2228 H) \u2227 1) \u2227 (\u00acH)) \u2227 (R \u2228 0)\n(0 \u2228 H) \u2227 (1 \u2227 ((\u00acH) \u2227 (R \u2228 0)))\n((0 \u2228 H) \u2227 1) \u2227 ((R \u2228 0) \u2227 (\u00acH))\n((0 \u2228 H) \u2227 1) \u2227 (((\u00acH) \u2227 R) \u2228 ((\u00acH) \u2227 0))\n((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 R)\n((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 (0 \u2228 R))\n(0 \u2228 H) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n(1 \u2227 (0 \u2228 H)) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n(H \u2227 1) \u2227 ((\u00acH) \u2227 (R \u2228 0))\n((H \u2228 0) \u2227 1) \u2227 ((\u00acH) \u2227 (R \u2228 0))\nChosen: ((0 \u2228 H) \u2227 1) \u2227 ((\u00acH) \u2227 R)\n\nOptions:\n((\u00acH) \u2227 R) \u2227 ((0 \u2228 H) \u2227 1)\n(((0 \u2228 H) \u2227 1) \u2227 (\u00acH)) \u2227 R\n(0 \u2228 H) \u2227 (1 \u2227 ((\u00acH) \u2227 R))\n((0 \u2228 H) \u2227 1) \u2227 (R \u2227 (\u00acH))\n(0 \u2228 H) \u2227 ((\u00acH) \u2227 R)\n(1 \u2227 (0 \u2228 H)) \u2227 ((\u00acH) \u2227 R)\n(H \u2227 1) \u2227 ((\u00acH) \u2227 R)\n((H \u2228 0) \u2227 1) \u2227 ((\u00acH) \u2227 R)\nChosen: (0 \u2228 H) \u2227 (1 \u2227 ((\u00acH) \u2227 R))\n\nOptions:\n(1 \u2227 ((\u00acH) \u2227 R)) \u2227 (0 \u2228 H)\n(0 \u2228 H) \u2227 ((\u00acH) \u2227 R)\n(0 \u2228 H) \u2227 (((\u00acH) \u2227 R) \u2227 1)\n(0 \u2228 H) \u2227 ((1 \u2227 (\u00acH)) \u2227 R)\n(0 \u2228 H) \u2227 (1 \u2227 (R \u2227 (\u00acH)))\nH \u2227 (1 \u2227 ((\u00acH) \u2227 R))\n(H \u2228 0) \u2227 (1 \u2227 ((\u00acH) \u2227 R))\nChosen: (H \u2228 0) \u2227 (1 \u2227 ((\u00acH) \u2227 R))", "id": 1697}, {"char_len": 456, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 16, 12264, 101, 452, 4489, 3883, 512, 7, 83193, 7, 36, 12264, 101, 469, 595, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 83193, 1209, 16, 12264, 101, 452, 8, 12264, 101, 320, 36, 12264, 101, 469, 1192, 83193, 6774, 36, 12264, 101, 469, 8, 12264, 101, 220, 16, 8, 12264, 101, 452, 340, 83193, 7, 36, 12264, 101, 320, 36, 12264, 101, 320, 16, 12264, 101, 452, 6054, 83193, 1209, 36, 12264, 101, 469, 8, 12264, 101, 220, 16, 340, 83193, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 45, 12264, 101, 220, 16, 1192, 83193, 7, 36, 12264, 101, 320, 16, 12264, 101, 452, 1192, 1163, 8477, 25, 97265, 7, 36, 12264, 101, 320, 16, 12264, 101, 452, 4489, 3883, 512, 7, 83193, 36, 8, 75078, 320, 83193, 7, 16, 12264, 101, 452, 1192, 83193, 1209, 16, 12264, 101, 452, 8, 12264, 101, 469, 340, 83193, 1209, 36, 12264, 101, 220, 16, 8, 12264, 101, 452, 340, 83193, 7, 36, 12264, 101, 220, 16, 340, 83193, 7, 36, 12264, 101, 320, 45, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 36, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 36, 8, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 469, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 256, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((E \u2228 E) \u2228 (1 \u2228 N))\n\nOptions:\n(\u00ac(E \u2228 E)) \u2227 (\u00ac(1 \u2228 N))\n\u00ac((1 \u2228 N) \u2228 (E \u2228 E))\n\u00ac(((E \u2228 E) \u2228 1) \u2228 N)\n\u00ac(E \u2228 (E \u2228 (1 \u2228 N)))\n\u00ac((E \u2228 E) \u2228 1)\n\u00ac((E \u2228 E) \u2228 (N \u2228 1))\n\u00ac(E \u2228 (1 \u2228 N))\nChosen: \u00ac(E \u2228 (1 \u2228 N))\n\nOptions:\n(\u00acE) \u2227 (\u00ac(1 \u2228 N))\n\u00ac((1 \u2228 N) \u2228 E)\n\u00ac((E \u2228 1) \u2228 N)\n\u00ac(E \u2228 1)\n\u00ac(E \u2228 (N \u2228 1))\nChosen: \u00ac(E \u2228 1)\n\nOptions:\n(\u00acE) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 E)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1698}, {"char_len": 1203, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 1192, 6774, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 10953, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 12264, 101, 469, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 1192, 6774, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 220, 16, 198, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 10953, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 469, 8, 75078, 320, 83193, 42, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 1192, 6774, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 198, 1209, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 6774, 83193, 42, 8, 75078, 469, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 42, 8, 75078, 469, 8, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 42, 8, 75078, 320, 15, 12264, 101, 469, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 83193, 42, 8, 75078, 320, 36, 12264, 101, 220, 15, 1192, 1209, 36, 12264, 101, 220, 15, 8, 75078, 320, 83193, 42, 595, 12264, 101, 220, 16, 198, 6774, 83193, 42, 8, 75078, 469, 8, 12264, 101, 1819, 83193, 42, 8, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 1209, 83193, 42, 8, 75078, 469, 8, 12264, 101, 220, 16, 198, 1209, 83193, 42, 8, 75078, 320, 15, 12264, 101, 469, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 827, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((E \u2228 0) \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((E \u2228 0) \u2227 (\u00acK))\n(((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 1)) \u2228 (\u00ac0)\n((E \u2228 0) \u2227 (\u00acK)) \u2228 ((\u00ac0) \u2228 (1 \u2228 1))\n((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 (1 \u2228 (\u00ac0)))\n((E \u2228 0) \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 1)\n((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 (\u00ac0))\n((\u00acK) \u2227 (E \u2228 0)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\n(E \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\n((0 \u2228 E) \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\nChosen: ((E \u2228 0) \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 1)\n\nOptions:\n((1 \u2228 1) \u2228 1) \u2228 ((E \u2228 0) \u2227 (\u00acK))\n(((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 1)) \u2228 1\n((E \u2228 0) \u2227 (\u00acK)) \u2228 1\n((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 (1 \u2228 1))\n((E \u2228 0) \u2227 (\u00acK)) \u2228 (1 \u2228 1)\n((\u00acK) \u2227 (E \u2228 0)) \u2228 ((1 \u2228 1) \u2228 1)\n(E \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 1)\n((0 \u2228 E) \u2227 (\u00acK)) \u2228 ((1 \u2228 1) \u2228 1)\nChosen: ((\u00acK) \u2227 (E \u2228 0)) \u2228 ((1 \u2228 1) \u2228 1)\n\nOptions:\n((1 \u2228 1) \u2228 1) \u2228 ((\u00acK) \u2227 (E \u2228 0))\n(((\u00acK) \u2227 (E \u2228 0)) \u2228 (1 \u2228 1)) \u2228 1\n((\u00acK) \u2227 (E \u2228 0)) \u2228 1\n((\u00acK) \u2227 (E \u2228 0)) \u2228 (1 \u2228 (1 \u2228 1))\n((\u00acK) \u2227 (E \u2228 0)) \u2228 (1 \u2228 1)\n(((\u00acK) \u2227 E) \u2228 ((\u00acK) \u2227 0)) \u2228 ((1 \u2228 1) \u2228 1)\n((\u00acK) \u2227 E) \u2228 ((1 \u2228 1) \u2228 1)\n((\u00acK) \u2227 (0 \u2228 E)) \u2228 ((1 \u2228 1) \u2228 1)\nChosen: ((\u00acK) \u2227 (E \u2228 0)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((\u00acK) \u2227 (E \u2228 0))\n((E \u2228 0) \u2227 (\u00acK)) \u2228 1\n(((\u00acK) \u2227 E) \u2228 ((\u00acK) \u2227 0)) \u2228 1\n((\u00acK) \u2227 E) \u2228 1\n((\u00acK) \u2227 (0 \u2228 E)) \u2228 1\nChosen: 1", "id": 1699}, {"char_len": 3155, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 15, 75078, 622, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 622, 595, 75078, 320, 83193, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 75078, 622, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 41, 75078, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 7, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 19789, 3883, 512, 7, 15, 75078, 320, 41, 75078, 320, 83193, 15, 7861, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 41, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 41, 75078, 320, 83193, 15, 595, 75078, 220, 15, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 622, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 220, 16, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 7, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1163, 8477, 25, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 19789, 3883, 512, 7, 15, 75078, 320, 41, 75078, 320, 83193, 15, 7861, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 41, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 41, 75078, 320, 83193, 15, 595, 75078, 220, 15, 340, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 622, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1163, 8477, 25, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 19789, 3883, 512, 7, 15, 75078, 320, 41, 75078, 320, 83193, 15, 7861, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 1192, 67944, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 41, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 23631, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 220, 15, 198, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 41, 75078, 320, 83193, 15, 595, 75078, 220, 15, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 622, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 220, 16, 1192, 67944, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 16, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1163, 8477, 25, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 19789, 3883, 512, 7, 15, 75078, 320, 41, 75078, 320, 83193, 15, 7861, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 6054, 67944, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 220, 15, 8, 75078, 320, 41, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 23631, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 220, 15, 198, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 1819, 41, 75078, 320, 83193, 15, 595, 75078, 220, 15, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 1819, 15, 75078, 622, 8, 75078, 320, 83193, 15, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 1819, 83193, 15, 8, 75078, 622, 1192, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 220, 16, 1192, 1209, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 67944, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 6774, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 16, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 6054, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 320, 15, 75078, 320, 41, 75078, 320, 83193, 15, 7861], "tokenizer": "cl100k_base", "tokens_len": 1999, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n\nOptions:\n((0 \u2227 J) \u2227 (\u00ac0)) \u2227 ((0 \u2227 0) \u2228 (1 \u2227 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 J)) \u2227 (\u00ac0)\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2227 J))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 ((0 \u2227 J) \u2227 1)\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (\u00ac0))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 ((J \u2227 0) \u2227 (\u00ac0))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n(((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n(0 \u2228 (1 \u2227 1)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\nChosen: ((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n\nOptions:\n(0 \u2227 (J \u2227 (\u00ac0))) \u2227 ((0 \u2227 0) \u2228 (1 \u2227 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 0) \u2227 (J \u2227 (\u00ac0))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 0\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 ((J \u2227 (\u00ac0)) \u2227 0)\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 ((\u00ac0) \u2227 J))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 1))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((0 \u2227 0) \u2228 1) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(0 \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\nChosen: ((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n\nOptions:\n(0 \u2227 (J \u2227 (\u00ac0))) \u2227 ((1 \u2227 1) \u2228 (0 \u2227 0))\n(((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 0) \u2227 (J \u2227 (\u00ac0))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 0\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((J \u2227 (\u00ac0)) \u2227 0)\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 ((\u00ac0) \u2227 J))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (J \u2227 1))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((1 \u2227 1) \u2228 0) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(1 \u2228 (0 \u2227 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\nChosen: (((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n\nOptions:\n(0 \u2227 (J \u2227 (\u00ac0))) \u2227 (((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0))\n((((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 0) \u2227 (J \u2227 (\u00ac0))\n((1 \u2227 1) \u2228 0) \u2227 (((1 \u2227 1) \u2228 0) \u2227 (0 \u2227 (J \u2227 (\u00ac0))))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 0\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 ((J \u2227 (\u00ac0)) \u2227 0)\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 ((\u00ac0) \u2227 J))\n(((1 \u2227 1) \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 1))\n((((1 \u2227 1) \u2228 0) \u2227 (1 \u2227 1)) \u2228 (((1 \u2227 1) \u2228 0) \u2227 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 (1 \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((1 \u2227 1) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((0 \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((1 \u2228 0) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\nChosen: (((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n\nOptions:\n(0 \u2227 (J \u2227 (\u00ac0))) \u2227 (((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1)))\n((((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 0) \u2227 (J \u2227 (\u00ac0))\n((1 \u2227 1) \u2228 0) \u2227 ((0 \u2228 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0))))\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 0\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 ((J \u2227 (\u00ac0)) \u2227 0)\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 ((0 \u2227 J) \u2227 (\u00ac0))\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 ((\u00ac0) \u2227 J))\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 1))\n((0 \u2228 (1 \u2227 1)) \u2227 ((1 \u2227 1) \u2228 0)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((((1 \u2227 1) \u2228 0) \u2227 0) \u2228 (((1 \u2227 1) \u2228 0) \u2227 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 (1 \u2227 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 ((0 \u2228 1) \u2227 (0 \u2228 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n(((1 \u2227 1) \u2228 0) \u2227 (0 \u2228 1)) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((1 \u2227 1) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((0 \u2228 (1 \u2227 1)) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\n((1 \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))\nChosen: ((1 \u2228 0) \u2227 (0 \u2228 (1 \u2227 1))) \u2227 (0 \u2227 (J \u2227 (\u00ac0)))", "id": 1700}, {"char_len": 482, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 50, 12264, 101, 328, 595, 12264, 101, 320, 83193, 7, 50, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 50, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 50, 12264, 101, 328, 1192, 7, 83193, 7, 50, 12264, 101, 328, 595, 12264, 101, 1819, 83193, 50, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 50, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 340, 7, 83193, 7, 50, 12264, 101, 328, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 1192, 1209, 83193, 50, 8, 75078, 320, 83193, 50, 595, 12264, 101, 320, 83193, 7, 50, 12264, 101, 220, 15, 1192, 7, 83193, 50, 8, 12264, 101, 320, 83193, 7, 50, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 50, 8, 12264, 101, 320, 83193, 7, 50, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 50, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 50, 340, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 50, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 50, 8, 12264, 101, 320, 83193, 50, 340, 7, 83193, 50, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 1192, 1163, 8477, 25, 320, 83193, 50, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 328, 595, 12264, 101, 320, 83193, 50, 340, 7, 83193, 50, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 50, 1192, 7, 83193, 50, 8, 12264, 101, 320, 83193, 50, 340, 1163, 8477, 25, 320, 83193, 50, 8, 12264, 101, 320, 83193, 50, 8], "tokenizer": "cl100k_base", "tokens_len": 289, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(S \u2228 S)) \u2228 (\u00ac(S \u2228 0))\n\nOptions:\n(\u00ac(S \u2228 0)) \u2228 (\u00ac(S \u2228 S))\n(\u00ac(S \u2228 S)) \u2228 ((\u00acS) \u2227 (\u00ac0))\n(\u00ac(S \u2228 S)) \u2228 (\u00acS)\n(\u00ac(S \u2228 S)) \u2228 (\u00ac(0 \u2228 S))\n((\u00acS) \u2227 (\u00acS)) \u2228 (\u00ac(S \u2228 0))\n(\u00acS) \u2228 (\u00ac(S \u2228 0))\nChosen: (\u00acS) \u2228 (\u00ac(S \u2228 0))\n\nOptions:\n(\u00ac(S \u2228 0)) \u2228 (\u00acS)\n(\u00acS) \u2228 ((\u00acS) \u2227 (\u00ac0))\n(\u00acS) \u2228 (\u00acS)\n(\u00acS) \u2228 (\u00ac(0 \u2228 S))\nChosen: (\u00acS) \u2228 (\u00ac(0 \u2228 S))\n\nOptions:\n(\u00ac(0 \u2228 S)) \u2228 (\u00acS)\n(\u00acS) \u2228 ((\u00ac0) \u2227 (\u00acS))\n(\u00acS) \u2228 (\u00acS)\nChosen: (\u00acS) \u2228 (\u00acS)", "id": 1701}, {"char_len": 1694, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 46, 75078, 622, 1192, 6774, 83193, 15, 8, 75078, 320, 46, 75078, 622, 595, 12264, 101, 320, 46, 12264, 101, 622, 595, 75078, 11861, 83193, 15, 8, 75078, 320, 46, 75078, 622, 595, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 46, 12264, 101, 622, 1192, 1209, 83193, 15, 8, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 1209, 46, 75078, 622, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 6774, 83193, 15, 8, 75078, 507, 8, 75078, 622, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 75078, 320, 41, 75078, 507, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 7, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 595, 12264, 101, 320, 16, 75078, 320, 46, 75078, 622, 1192, 1209, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 320, 46, 12264, 101, 622, 595, 75078, 1819, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 320, 83193, 41, 1192, 7, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 46, 12264, 101, 622, 1192, 7, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 622, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1209, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1209, 16, 75078, 507, 8, 75078, 622, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 7, 16, 75078, 320, 41, 75078, 507, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 1819, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 595, 12264, 101, 1819, 46, 75078, 622, 8, 75078, 220, 16, 340, 6774, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 320, 46, 12264, 101, 622, 595, 75078, 11861, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 46, 12264, 101, 622, 1192, 1209, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 622, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1209, 41, 75078, 507, 8, 75078, 220, 16, 8, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 1819, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 595, 12264, 101, 1819, 46, 75078, 622, 8, 75078, 220, 16, 340, 6774, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 320, 41, 12264, 101, 507, 595, 75078, 11861, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 46, 75078, 622, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 41, 12264, 101, 507, 1192, 19792, 75078, 622, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 7, 16, 75078, 320, 46, 75078, 622, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 1209, 41, 75078, 507, 8, 75078, 220, 16, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 320, 46, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 4489, 3883, 512, 1209, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 595, 12264, 101, 320, 46, 75078, 320, 41, 75078, 220, 16, 1192, 1209, 46, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 320, 41, 12264, 101, 507, 595, 75078, 1819, 46, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 320, 83193, 41, 1192, 19792, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 41, 12264, 101, 507, 1192, 19792, 75078, 320, 41, 75078, 220, 16, 595, 12264, 101, 1819, 46, 12264, 101, 622, 8, 75078, 320, 83193, 41, 1192, 1209, 41, 75078, 220, 16, 8, 75078, 507, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 622, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 19792, 75078, 320, 16, 75078, 622, 595, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 1192, 1163, 8477, 25, 320, 46, 75078, 622, 8, 12264, 101, 1819, 41, 12264, 101, 507, 8, 75078, 320, 83193, 41, 595], "tokenizer": "cl100k_base", "tokens_len": 1013, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2227 (O \u2227 J)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n\nOptions:\n((O \u2228 J) \u2227 (\u00acJ)) \u2228 ((\u00ac0) \u2227 (O \u2227 J))\n(((\u00ac0) \u2227 (O \u2227 J)) \u2228 (O \u2228 J)) \u2227 (((\u00ac0) \u2227 (O \u2227 J)) \u2228 (\u00acJ))\n((\u00ac0) \u2227 (O \u2227 J)) \u2228 ((\u00acJ) \u2227 (O \u2228 J))\n((\u00ac0) \u2227 (O \u2227 J)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n((O \u2227 J) \u2227 (\u00ac0)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n(((\u00ac0) \u2227 O) \u2227 J) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n((\u00ac0) \u2227 (J \u2227 O)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n(1 \u2227 (O \u2227 J)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\nChosen: (1 \u2227 (O \u2227 J)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n\nOptions:\n((O \u2228 J) \u2227 (\u00acJ)) \u2228 (1 \u2227 (O \u2227 J))\n((1 \u2227 (O \u2227 J)) \u2228 (O \u2228 J)) \u2227 ((1 \u2227 (O \u2227 J)) \u2228 (\u00acJ))\n(1 \u2227 (O \u2227 J)) \u2228 ((\u00acJ) \u2227 (O \u2228 J))\n(1 \u2227 (O \u2227 J)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(O \u2227 J) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n((O \u2227 J) \u2227 1) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n((1 \u2227 O) \u2227 J) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n(1 \u2227 (J \u2227 O)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\nChosen: ((O \u2227 J) \u2227 1) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n\nOptions:\n((O \u2228 J) \u2227 (\u00acJ)) \u2228 ((O \u2227 J) \u2227 1)\n(((O \u2227 J) \u2227 1) \u2228 (O \u2228 J)) \u2227 (((O \u2227 J) \u2227 1) \u2228 (\u00acJ))\n((O \u2227 J) \u2227 1) \u2228 ((\u00acJ) \u2227 (O \u2228 J))\n((O \u2227 J) \u2227 1) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(O \u2227 J) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n(O \u2227 (J \u2227 1)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n((J \u2227 O) \u2227 1) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\nChosen: ((O \u2227 J) \u2227 1) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n\nOptions:\n((J \u2228 O) \u2227 (\u00acJ)) \u2228 ((O \u2227 J) \u2227 1)\n(((O \u2227 J) \u2227 1) \u2228 (J \u2228 O)) \u2227 (((O \u2227 J) \u2227 1) \u2228 (\u00acJ))\n((O \u2227 J) \u2227 1) \u2228 ((\u00acJ) \u2227 (J \u2228 O))\n(O \u2227 J) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(1 \u2227 (O \u2227 J)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(O \u2227 (J \u2227 1)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n((J \u2227 O) \u2227 1) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\nChosen: (O \u2227 (J \u2227 1)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n\nOptions:\n((J \u2228 O) \u2227 (\u00acJ)) \u2228 (O \u2227 (J \u2227 1))\n((O \u2227 (J \u2227 1)) \u2228 (J \u2228 O)) \u2227 ((O \u2227 (J \u2227 1)) \u2228 (\u00acJ))\n(O \u2227 (J \u2227 1)) \u2228 ((\u00acJ) \u2227 (J \u2228 O))\n(O \u2227 (J \u2227 1)) \u2228 ((O \u2228 J) \u2227 (\u00acJ))\n((J \u2227 1) \u2227 O) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(O \u2227 J) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\n(O \u2227 (1 \u2227 J)) \u2228 ((J \u2228 O) \u2227 (\u00acJ))\nChosen: (O \u2227 J) \u2228 ((J \u2228 O) \u2227 (\u00acJ))", "id": 1702}, {"char_len": 411, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 45, 1192, 7, 83193, 7, 83193, 45, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 15, 340, 45, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 45, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 452, 198, 16, 12264, 101, 320, 83193, 7, 83193, 45, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 45, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 45, 4489, 3883, 512, 7, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 452, 198, 16, 12264, 101, 320, 83193, 7, 83193, 45, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 452, 271, 3883, 512, 45, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 452, 198, 1163, 8477, 25, 220, 16, 12264, 101, 452, 271, 3883, 512, 16, 198, 45, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 225, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acN)) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acN))\n(\u00ac(\u00acN)) \u2228 1\n(\u00ac(\u00acN)) \u2228 (\u00ac0)\nN \u2228 (\u00ac(\u00ac1))\nChosen: (\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acN))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 N\n1 \u2228 (\u00ac(\u00acN))\n(\u00ac0) \u2228 (\u00ac(\u00acN))\nChosen: (\u00ac0) \u2228 (\u00ac(\u00acN))\n\nOptions:\n(\u00ac(\u00acN)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 N\n1 \u2228 (\u00ac(\u00acN))\nChosen: (\u00ac0) \u2228 N\n\nOptions:\nN \u2228 (\u00ac0)\n1 \u2228 N\nChosen: 1 \u2228 N\n\nOptions:\n1\nN \u2228 1\nChosen: 1", "id": 1703}, {"char_len": 917, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 47, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 47, 595, 12264, 101, 320, 34, 12264, 101, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 47, 8, 12264, 101, 356, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 16, 12264, 101, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 34, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 47, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 47, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 47, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 47, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 7, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 47, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 16, 340, 15, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 636, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 1)) \u2228 ((\u00acP) \u2228 (C \u2228 1))\n\nOptions:\n((\u00acP) \u2228 (C \u2228 1)) \u2228 (\u00ac(0 \u2228 1))\n((\u00ac(0 \u2228 1)) \u2228 (\u00acP)) \u2228 (C \u2228 1)\n(\u00ac(0 \u2228 1)) \u2228 ((C \u2228 1) \u2228 (\u00acP))\n(\u00ac(0 \u2228 1)) \u2228 (((\u00acP) \u2228 C) \u2228 1)\n(\u00ac(0 \u2228 1)) \u2228 ((\u00acP) \u2228 1)\n(\u00ac(0 \u2228 1)) \u2228 ((\u00acP) \u2228 (1 \u2228 C))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 ((\u00acP) \u2228 (C \u2228 1))\n(\u00ac1) \u2228 ((\u00acP) \u2228 (C \u2228 1))\n(\u00ac(1 \u2228 0)) \u2228 ((\u00acP) \u2228 (C \u2228 1))\nChosen: (\u00ac(0 \u2228 1)) \u2228 ((\u00acP) \u2228 1)\n\nOptions:\n((\u00acP) \u2228 1) \u2228 (\u00ac(0 \u2228 1))\n((\u00ac(0 \u2228 1)) \u2228 (\u00acP)) \u2228 1\n(\u00ac(0 \u2228 1)) \u2228 1\n(\u00ac(0 \u2228 1)) \u2228 (1 \u2228 (\u00acP))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 ((\u00acP) \u2228 1)\n(\u00ac1) \u2228 ((\u00acP) \u2228 1)\n(\u00ac(1 \u2228 0)) \u2228 ((\u00acP) \u2228 1)\nChosen: (\u00ac(0 \u2228 1)) \u2228 (1 \u2228 (\u00acP))\n\nOptions:\n(1 \u2228 (\u00acP)) \u2228 (\u00ac(0 \u2228 1))\n((\u00ac(0 \u2228 1)) \u2228 1) \u2228 (\u00acP)\n(\u00ac(0 \u2228 1)) \u2228 1\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (1 \u2228 (\u00acP))\n(\u00ac1) \u2228 (1 \u2228 (\u00acP))\n(\u00ac(1 \u2228 0)) \u2228 (1 \u2228 (\u00acP))\nChosen: (\u00ac(0 \u2228 1)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(0 \u2228 1))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 1\n(\u00ac1) \u2228 1\n(\u00ac(1 \u2228 0)) \u2228 1\nChosen: (\u00ac1) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac1)\n0 \u2228 1\nChosen: 1", "id": 1704}, {"char_len": 602, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 15, 12264, 101, 1229, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 48, 340, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 48, 12264, 101, 220, 15, 1192, 1209, 83193, 48, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 7, 83193, 48, 8, 75078, 320, 83193, 7, 15, 12264, 101, 1229, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 48, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 1819, 83193, 48, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 48, 340, 1209, 83193, 48, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 7, 48, 12264, 101, 220, 15, 1192, 7, 83193, 48, 8, 75078, 320, 83193, 7, 48, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 48, 696, 3883, 512, 7, 83193, 48, 8, 75078, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 1209, 83193, 48, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 48, 340, 7, 83193, 48, 8, 75078, 320, 83193, 48, 340, 1163, 8477, 25, 1819, 83193, 48, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 48, 696, 3883, 512, 7, 83193, 48, 8, 75078, 1819, 83193, 48, 8, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 83193, 48, 8, 75078, 1819, 83193, 48, 8, 75078, 320, 83193, 48, 595], "tokenizer": "cl100k_base", "tokens_len": 343, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(Q \u2228 Q)) \u2227 (\u00ac(0 \u2228 Q))\n\nOptions:\n(\u00ac(0 \u2228 Q)) \u2227 (\u00ac(Q \u2228 Q))\n(\u00ac(Q \u2228 Q)) \u2227 ((\u00ac0) \u2227 (\u00acQ))\n(\u00ac(Q \u2228 Q)) \u2227 (\u00acQ)\n(\u00ac(Q \u2228 Q)) \u2227 (\u00ac(Q \u2228 0))\n((\u00acQ) \u2227 (\u00acQ)) \u2227 (\u00ac(0 \u2228 Q))\n(\u00acQ) \u2227 (\u00ac(0 \u2228 Q))\nChosen: (\u00ac(Q \u2228 Q)) \u2227 (\u00ac(Q \u2228 0))\n\nOptions:\n(\u00ac(Q \u2228 0)) \u2227 (\u00ac(Q \u2228 Q))\n(\u00ac(Q \u2228 Q)) \u2227 ((\u00acQ) \u2227 (\u00ac0))\n(\u00ac(Q \u2228 Q)) \u2227 (\u00acQ)\n((\u00acQ) \u2227 (\u00acQ)) \u2227 (\u00ac(Q \u2228 0))\n(\u00acQ) \u2227 (\u00ac(Q \u2228 0))\nChosen: (\u00ac(Q \u2228 Q)) \u2227 (\u00acQ)\n\nOptions:\n(\u00acQ) \u2227 (\u00ac(Q \u2228 Q))\n((\u00acQ) \u2227 (\u00acQ)) \u2227 (\u00acQ)\n(\u00acQ) \u2227 (\u00acQ)\nChosen: ((\u00acQ) \u2227 (\u00acQ)) \u2227 (\u00acQ)\n\nOptions:\n(\u00acQ) \u2227 ((\u00acQ) \u2227 (\u00acQ))\nChosen: (\u00acQ) \u2227 ((\u00acQ) \u2227 (\u00acQ))", "id": 1705}, {"char_len": 1526, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 480, 595, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 1192, 6838, 75078, 220, 15, 8, 12264, 101, 1819, 38, 75078, 358, 8, 12264, 101, 320, 83193, 7, 16, 75078, 480, 6054, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 38, 1192, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 38, 340, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 7, 38, 75078, 220, 16, 1192, 1209, 38, 75078, 358, 8, 12264, 101, 320, 38, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 6774, 38, 75078, 220, 15, 8, 12264, 101, 480, 8, 75078, 1819, 38, 75078, 220, 15, 8, 12264, 101, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 7, 15, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 1209, 15, 75078, 480, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 1163, 8477, 25, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 480, 595, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 1192, 6838, 75078, 220, 15, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 320, 83193, 7, 16, 75078, 480, 6054, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 38, 1192, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 38, 340, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 7, 38, 75078, 220, 16, 1192, 1209, 40, 75078, 480, 8, 12264, 101, 320, 38, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 6774, 38, 75078, 220, 15, 8, 12264, 101, 358, 8, 75078, 1819, 38, 75078, 220, 15, 8, 12264, 101, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 7, 15, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 1209, 15, 75078, 480, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 480, 1192, 1163, 8477, 25, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 38, 696, 3883, 512, 7, 83193, 38, 8, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 1192, 6838, 75078, 220, 15, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 320, 83193, 38, 1192, 1209, 40, 75078, 480, 8, 12264, 101, 320, 38, 75078, 220, 15, 595, 12264, 101, 320, 83193, 38, 340, 6774, 38, 75078, 220, 15, 8, 12264, 101, 358, 8, 75078, 1819, 38, 75078, 220, 15, 8, 12264, 101, 480, 595, 12264, 101, 320, 83193, 38, 340, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 38, 340, 7, 15, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 38, 340, 1209, 15, 75078, 480, 8, 12264, 101, 320, 40, 75078, 480, 595, 12264, 101, 320, 83193, 38, 340, 1163, 8477, 25, 320, 83193, 38, 8, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 40, 75078, 480, 4489, 3883, 512, 1209, 83193, 38, 8, 12264, 101, 320, 38, 75078, 220, 15, 595, 12264, 101, 320, 40, 75078, 480, 340, 7, 83193, 38, 8, 12264, 101, 1819, 40, 75078, 480, 8, 12264, 101, 320, 38, 75078, 220, 15, 1192, 7, 83193, 38, 8, 12264, 101, 11861, 38, 75078, 220, 15, 8, 12264, 101, 358, 8, 75078, 1819, 38, 75078, 220, 15, 8, 12264, 101, 480, 1192, 7, 83193, 38, 8, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 1192, 7, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 320, 40, 75078, 480, 1192, 7, 83193, 38, 8, 12264, 101, 1819, 15, 75078, 480, 8, 12264, 101, 320, 40, 75078, 480, 1192, 1163, 8477, 25, 320, 83193, 38, 8, 12264, 101, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 4489, 3883, 512, 1209, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 38, 340, 1209, 83193, 38, 8, 12264, 101, 320, 38, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 358, 340, 7, 83193, 38, 8, 12264, 101, 1819, 38, 75078, 358, 8, 12264, 101, 320, 38, 75078, 220, 15, 1192, 7, 83193, 38, 8, 12264, 101, 11861, 38, 75078, 220, 15, 8, 12264, 101, 480, 8, 75078, 1819, 38, 75078, 220, 15, 8, 12264, 101, 358, 1192, 7, 83193, 38, 8, 12264, 101, 320, 15, 12264, 101, 320, 38, 75078, 358, 1192, 7, 83193, 38, 8, 12264, 101, 1819, 15, 75078, 480, 8, 12264, 101, 320, 38, 75078, 358, 1192, 1163, 8477, 25, 1819, 38, 75078, 220, 15, 8, 12264, 101, 320, 38, 75078, 358, 595, 12264, 101, 320, 83193, 38, 8], "tokenizer": "cl100k_base", "tokens_len": 956, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00ac(1 \u2227 G))\n\nOptions:\n(\u00ac(1 \u2227 G)) \u2228 ((G \u2227 0) \u2228 (G \u2227 I))\n(G \u2227 0) \u2228 ((G \u2227 I) \u2228 (\u00ac(1 \u2227 G)))\n((G \u2227 0) \u2228 (G \u2227 I)) \u2228 ((\u00ac1) \u2228 (\u00acG))\n((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00acG)\n((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00ac(G \u2227 1))\n((G \u2227 I) \u2228 (G \u2227 0)) \u2228 (\u00ac(1 \u2227 G))\n(((G \u2227 0) \u2228 G) \u2227 ((G \u2227 0) \u2228 I)) \u2228 (\u00ac(1 \u2227 G))\n((G \u2227 0) \u2228 (I \u2227 G)) \u2228 (\u00ac(1 \u2227 G))\n(0 \u2228 (G \u2227 I)) \u2228 (\u00ac(1 \u2227 G))\n((0 \u2227 G) \u2228 (G \u2227 I)) \u2228 (\u00ac(1 \u2227 G))\nChosen: ((G \u2227 0) \u2228 (I \u2227 G)) \u2228 (\u00ac(1 \u2227 G))\n\nOptions:\n(\u00ac(1 \u2227 G)) \u2228 ((G \u2227 0) \u2228 (I \u2227 G))\n(G \u2227 0) \u2228 ((I \u2227 G) \u2228 (\u00ac(1 \u2227 G)))\n((G \u2227 0) \u2228 (I \u2227 G)) \u2228 ((\u00ac1) \u2228 (\u00acG))\n((G \u2227 0) \u2228 (I \u2227 G)) \u2228 (\u00acG)\n((G \u2227 0) \u2228 (I \u2227 G)) \u2228 (\u00ac(G \u2227 1))\n((I \u2227 G) \u2228 (G \u2227 0)) \u2228 (\u00ac(1 \u2227 G))\n(((G \u2227 0) \u2228 I) \u2227 ((G \u2227 0) \u2228 G)) \u2228 (\u00ac(1 \u2227 G))\n(0 \u2228 (I \u2227 G)) \u2228 (\u00ac(1 \u2227 G))\n((0 \u2227 G) \u2228 (I \u2227 G)) \u2228 (\u00ac(1 \u2227 G))\nChosen: ((G \u2227 0) \u2228 (I \u2227 G)) \u2228 (\u00acG)\n\nOptions:\n(\u00acG) \u2228 ((G \u2227 0) \u2228 (I \u2227 G))\n(G \u2227 0) \u2228 ((I \u2227 G) \u2228 (\u00acG))\n((I \u2227 G) \u2228 (G \u2227 0)) \u2228 (\u00acG)\n(((G \u2227 0) \u2228 I) \u2227 ((G \u2227 0) \u2228 G)) \u2228 (\u00acG)\n((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00acG)\n(0 \u2228 (I \u2227 G)) \u2228 (\u00acG)\n((0 \u2227 G) \u2228 (I \u2227 G)) \u2228 (\u00acG)\nChosen: (\u00acG) \u2228 ((G \u2227 0) \u2228 (I \u2227 G))\n\nOptions:\n((\u00acG) \u2228 (G \u2227 0)) \u2228 (I \u2227 G)\n(\u00acG) \u2228 ((I \u2227 G) \u2228 (G \u2227 0))\n(\u00acG) \u2228 (((G \u2227 0) \u2228 I) \u2227 ((G \u2227 0) \u2228 G))\n(\u00acG) \u2228 ((G \u2227 0) \u2228 (G \u2227 I))\n(\u00acG) \u2228 (0 \u2228 (I \u2227 G))\n(\u00acG) \u2228 ((0 \u2227 G) \u2228 (I \u2227 G))\nChosen: (\u00acG) \u2228 ((G \u2227 0) \u2228 (G \u2227 I))\n\nOptions:\n((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00acG)\n((\u00acG) \u2228 (G \u2227 0)) \u2228 (G \u2227 I)\n(\u00acG) \u2228 ((G \u2227 I) \u2228 (G \u2227 0))\n(\u00acG) \u2228 (((G \u2227 0) \u2228 G) \u2227 ((G \u2227 0) \u2228 I))\n(\u00acG) \u2228 (0 \u2228 (G \u2227 I))\n(\u00acG) \u2228 ((0 \u2227 G) \u2228 (G \u2227 I))\nChosen: ((G \u2227 0) \u2228 (G \u2227 I)) \u2228 (\u00acG)", "id": 1706}, {"char_len": 1367, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 4489, 3883, 512, 1209, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 320, 15, 12264, 101, 445, 595, 75078, 320, 83193, 46, 340, 1209, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 1819, 83193, 46, 8, 75078, 320, 15, 12264, 101, 445, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 83193, 46, 1192, 1209, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 1192, 6774, 83193, 16, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 445, 595, 75078, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 1192, 1209, 83193, 16, 8, 12264, 101, 445, 8, 75078, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 1192, 7, 15, 12264, 101, 320, 43, 75078, 445, 595, 75078, 1819, 15, 12264, 101, 445, 8, 75078, 320, 83193, 46, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 320, 43, 75078, 320, 83193, 46, 4489, 3883, 512, 5063, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 1192, 6774, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1209, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 1819, 83193, 46, 8, 75078, 445, 340, 1209, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 6774, 83193, 16, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 445, 595, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 1209, 83193, 16, 8, 12264, 101, 445, 8, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 7, 15, 12264, 101, 320, 43, 75078, 445, 595, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 1163, 8477, 25, 11861, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 696, 3883, 512, 7, 83193, 46, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 340, 5063, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 43, 75078, 445, 7861, 75078, 320, 83193, 46, 340, 6774, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 67944, 83193, 16, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 6774, 83193, 16, 8, 12264, 101, 445, 8, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1209, 15, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1163, 8477, 25, 11861, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 75078, 320, 83193, 46, 696, 3883, 512, 7, 83193, 46, 8, 75078, 11861, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 445, 340, 1209, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 5063, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 83193, 46, 340, 6774, 43, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1209, 43, 12264, 101, 320, 83193, 16, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1163, 8477, 25, 11861, 43, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 445, 8, 75078, 320, 83193, 46, 696, 3883, 512, 7, 83193, 46, 8, 75078, 11861, 43, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 445, 340, 1209, 43, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 320, 83193, 46, 1192, 5063, 75078, 1819, 43, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 46, 340, 1209, 43, 75078, 445, 8, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1209, 15, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1209, 43, 12264, 101, 220, 15, 8, 75078, 445, 8, 75078, 320, 83193, 46, 340, 1163, 8477, 25, 1819, 15, 12264, 101, 320, 43, 75078, 445, 595, 75078, 445, 8, 75078, 320, 83193, 46, 8], "tokenizer": "cl100k_base", "tokens_len": 798, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2228 (L \u2227 L)) \u2227 ((0 \u2228 L) \u2227 (\u00acO))\n\nOptions:\n((0 \u2228 L) \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 (L \u2227 L))\n(((\u00ac1) \u2228 (L \u2227 L)) \u2227 (0 \u2228 L)) \u2227 (\u00acO)\n((\u00ac1) \u2228 (L \u2227 L)) \u2227 ((\u00acO) \u2227 (0 \u2228 L))\n((\u00ac1) \u2228 (L \u2227 L)) \u2227 (L \u2227 (\u00acO))\n((\u00ac1) \u2228 (L \u2227 L)) \u2227 ((L \u2228 0) \u2227 (\u00acO))\n((L \u2227 L) \u2228 (\u00ac1)) \u2227 ((0 \u2228 L) \u2227 (\u00acO))\n(((\u00ac1) \u2228 L) \u2227 ((\u00ac1) \u2228 L)) \u2227 ((0 \u2228 L) \u2227 (\u00acO))\n((\u00ac1) \u2228 L) \u2227 ((0 \u2228 L) \u2227 (\u00acO))\n(0 \u2228 (L \u2227 L)) \u2227 ((0 \u2228 L) \u2227 (\u00acO))\nChosen: ((\u00ac1) \u2228 (L \u2227 L)) \u2227 (L \u2227 (\u00acO))\n\nOptions:\n(L \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2228 (L \u2227 L))\n(((\u00ac1) \u2228 (L \u2227 L)) \u2227 L) \u2227 (\u00acO)\n((\u00ac1) \u2228 (L \u2227 L)) \u2227 ((\u00acO) \u2227 L)\n((L \u2227 L) \u2228 (\u00ac1)) \u2227 (L \u2227 (\u00acO))\n(((\u00ac1) \u2228 L) \u2227 ((\u00ac1) \u2228 L)) \u2227 (L \u2227 (\u00acO))\n((\u00ac1) \u2228 L) \u2227 (L \u2227 (\u00acO))\n(0 \u2228 (L \u2227 L)) \u2227 (L \u2227 (\u00acO))\nChosen: (((\u00ac1) \u2228 (L \u2227 L)) \u2227 L) \u2227 (\u00acO)\n\nOptions:\n(\u00acO) \u2227 (((\u00ac1) \u2228 (L \u2227 L)) \u2227 L)\n(L \u2227 ((\u00ac1) \u2228 (L \u2227 L))) \u2227 (\u00acO)\n(((L \u2227 L) \u2228 (\u00ac1)) \u2227 L) \u2227 (\u00acO)\n((((\u00ac1) \u2228 L) \u2227 ((\u00ac1) \u2228 L)) \u2227 L) \u2227 (\u00acO)\n(((\u00ac1) \u2228 L) \u2227 L) \u2227 (\u00acO)\n((0 \u2228 (L \u2227 L)) \u2227 L) \u2227 (\u00acO)\nChosen: (((L \u2227 L) \u2228 (\u00ac1)) \u2227 L) \u2227 (\u00acO)\n\nOptions:\n(\u00acO) \u2227 (((L \u2227 L) \u2228 (\u00ac1)) \u2227 L)\n((L \u2227 L) \u2228 (\u00ac1)) \u2227 (L \u2227 (\u00acO))\n(L \u2227 ((L \u2227 L) \u2228 (\u00ac1))) \u2227 (\u00acO)\n(((L \u2227 L) \u2228 0) \u2227 L) \u2227 (\u00acO)\n((L \u2228 (\u00ac1)) \u2227 L) \u2227 (\u00acO)\nChosen: (((L \u2227 L) \u2228 0) \u2227 L) \u2227 (\u00acO)\n\nOptions:\n(\u00acO) \u2227 (((L \u2227 L) \u2228 0) \u2227 L)\n((L \u2227 L) \u2228 0) \u2227 (L \u2227 (\u00acO))\n(L \u2227 ((L \u2227 L) \u2228 0)) \u2227 (\u00acO)\n((L \u2227 L) \u2227 L) \u2227 (\u00acO)\n((0 \u2228 (L \u2227 L)) \u2227 L) \u2227 (\u00acO)\n((L \u2228 0) \u2227 L) \u2227 (\u00acO)\nChosen: ((0 \u2228 (L \u2227 L)) \u2227 L) \u2227 (\u00acO)", "id": 1707}, {"char_len": 545, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 83193, 1209, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 83193, 7, 16, 12264, 101, 328, 340, 83193, 1209, 16, 12264, 101, 328, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 83193, 7, 15, 12264, 101, 220, 16, 340, 83193, 7, 15, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 50, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 50, 12264, 101, 220, 16, 1192, 83193, 7, 50, 12264, 101, 220, 16, 340, 83193, 1209, 50, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 328, 8, 12264, 101, 220, 16, 340, 83193, 7, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 7, 50, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 50, 8, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 328, 340, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 328, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 50, 340, 83193, 16, 198, 1163, 8477, 25, 97265, 16], "tokenizer": "cl100k_base", "tokens_len": 323, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac1) \u2228 (1 \u2228 S))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(1 \u2228 S))\n\u00ac((1 \u2228 S) \u2228 (\u00ac1))\n\u00ac(((\u00ac1) \u2228 1) \u2228 S)\n\u00ac((\u00ac1) \u2228 1)\n\u00ac((\u00ac1) \u2228 (S \u2228 1))\n\u00ac(0 \u2228 (1 \u2228 S))\nChosen: \u00ac(0 \u2228 (1 \u2228 S))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(1 \u2228 S))\n\u00ac(1 \u2228 S)\n\u00ac((1 \u2228 S) \u2228 0)\n\u00ac((0 \u2228 1) \u2228 S)\n\u00ac(0 \u2228 1)\n\u00ac(0 \u2228 (S \u2228 1))\nChosen: \u00ac(0 \u2228 (S \u2228 1))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(S \u2228 1))\n\u00ac(S \u2228 1)\n\u00ac((S \u2228 1) \u2228 0)\n\u00ac((0 \u2228 S) \u2228 1)\n\u00ac(0 \u2228 1)\nChosen: \u00ac(S \u2228 1)\n\nOptions:\n(\u00acS) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 S)\nChosen: \u00ac(1 \u2228 S)\n\nOptions:\n(\u00ac1) \u2227 (\u00acS)\n\u00ac1\nChosen: \u00ac1", "id": 1708}, {"char_len": 784, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 32, 12264, 101, 362, 595, 75078, 1819, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 4489, 3883, 512, 1209, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 595, 75078, 320, 83193, 7, 32, 12264, 101, 362, 1192, 1209, 83193, 7, 32, 12264, 101, 362, 595, 75078, 320, 32, 75078, 220, 15, 595, 75078, 320, 83193, 32, 340, 7, 83193, 7, 32, 12264, 101, 362, 595, 75078, 1819, 83193, 32, 8, 75078, 320, 32, 75078, 220, 15, 1192, 7, 83193, 7, 32, 12264, 101, 362, 595, 75078, 320, 32, 75078, 320, 15, 75078, 320, 83193, 32, 6054, 7, 83193, 7, 32, 12264, 101, 362, 595, 75078, 320, 15, 75078, 320, 83193, 32, 1192, 7, 83193, 7, 32, 12264, 101, 362, 595, 75078, 1819, 15, 75078, 362, 8, 75078, 320, 83193, 32, 1192, 1209, 83193, 32, 8, 75078, 320, 83193, 32, 595, 75078, 1819, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 1192, 7, 83193, 32, 8, 75078, 1819, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 1192, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 1819, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 4489, 3883, 512, 1209, 32, 75078, 220, 15, 8, 75078, 320, 83193, 32, 595, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 75078, 320, 32, 75078, 220, 15, 595, 75078, 320, 83193, 32, 340, 7, 83193, 32, 8, 75078, 1819, 83193, 32, 8, 75078, 320, 32, 75078, 220, 15, 1192, 7, 83193, 32, 8, 75078, 320, 32, 75078, 320, 15, 75078, 320, 83193, 32, 6054, 7, 83193, 32, 8, 75078, 320, 15, 75078, 320, 83193, 32, 1192, 7, 83193, 32, 8, 75078, 1819, 15, 75078, 362, 8, 75078, 320, 83193, 32, 1192, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 320, 15, 75078, 320, 83193, 32, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 32, 595, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 75078, 220, 15, 8, 75078, 320, 83193, 32, 340, 7, 83193, 32, 8, 75078, 220, 15, 198, 7, 83193, 32, 8, 75078, 1819, 83193, 32, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 1819, 83193, 32, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 32, 8, 75078, 220, 15, 8, 75078, 320, 83193, 32, 340, 1209, 83193, 32, 8, 75078, 320, 83193, 32, 595, 75078, 220, 15, 198, 7, 83193, 32, 8, 75078, 220, 15, 198, 1163, 8477, 25, 320, 83193, 32, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 32, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 32, 8], "tokenizer": "cl100k_base", "tokens_len": 448, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(A \u2228 A)) \u2227 ((A \u2227 0) \u2227 (\u00acA))\n\nOptions:\n((A \u2227 0) \u2227 (\u00acA)) \u2227 (\u00ac(A \u2228 A))\n((\u00ac(A \u2228 A)) \u2227 (A \u2227 0)) \u2227 (\u00acA)\n(\u00ac(A \u2228 A)) \u2227 ((\u00acA) \u2227 (A \u2227 0))\n(\u00ac(A \u2228 A)) \u2227 (A \u2227 (0 \u2227 (\u00acA)))\n(\u00ac(A \u2228 A)) \u2227 (0 \u2227 (\u00acA))\n(\u00ac(A \u2228 A)) \u2227 ((0 \u2227 A) \u2227 (\u00acA))\n((\u00acA) \u2227 (\u00acA)) \u2227 ((A \u2227 0) \u2227 (\u00acA))\n(\u00acA) \u2227 ((A \u2227 0) \u2227 (\u00acA))\nChosen: (\u00acA) \u2227 ((A \u2227 0) \u2227 (\u00acA))\n\nOptions:\n((A \u2227 0) \u2227 (\u00acA)) \u2227 (\u00acA)\n((\u00acA) \u2227 (A \u2227 0)) \u2227 (\u00acA)\n(\u00acA) \u2227 ((\u00acA) \u2227 (A \u2227 0))\n(\u00acA) \u2227 (A \u2227 (0 \u2227 (\u00acA)))\n(\u00acA) \u2227 (0 \u2227 (\u00acA))\n(\u00acA) \u2227 ((0 \u2227 A) \u2227 (\u00acA))\nChosen: (\u00acA) \u2227 (0 \u2227 (\u00acA))\n\nOptions:\n(0 \u2227 (\u00acA)) \u2227 (\u00acA)\n((\u00acA) \u2227 0) \u2227 (\u00acA)\n(\u00acA) \u2227 0\n(\u00acA) \u2227 ((\u00acA) \u2227 0)\nChosen: (\u00acA) \u2227 ((\u00acA) \u2227 0)\n\nOptions:\n((\u00acA) \u2227 0) \u2227 (\u00acA)\n((\u00acA) \u2227 (\u00acA)) \u2227 0\n(\u00acA) \u2227 0\nChosen: (\u00acA) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00acA)\nChosen: 0 \u2227 (\u00acA)", "id": 1709}, {"char_len": 2168, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 1192, 8368, 12264, 101, 220, 15, 8, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 6774, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 75078, 452, 595, 12264, 101, 11861, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 45, 75078, 452, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 11861, 45, 75078, 452, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 220, 16, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 15, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 45, 12264, 101, 220, 15, 8, 75078, 452, 8, 12264, 101, 1819, 45, 12264, 101, 220, 15, 8, 75078, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 452, 8, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 75078, 452, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 8368, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 1192, 8368, 12264, 101, 220, 15, 8, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 6774, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 452, 8, 12264, 101, 11861, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 220, 16, 340, 1209, 45, 12264, 101, 220, 15, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 45, 12264, 101, 220, 15, 8, 75078, 452, 8, 12264, 101, 1819, 45, 12264, 101, 220, 15, 8, 75078, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 12264, 101, 220, 15, 8, 75078, 452, 8, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 45, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 8368, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 45, 75078, 320, 45, 12264, 101, 452, 1192, 45, 75078, 1819, 45, 12264, 101, 452, 8, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1209, 45, 75078, 320, 45, 12264, 101, 452, 595, 75078, 452, 8, 12264, 101, 1819, 45, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 16, 12264, 101, 220, 15, 1192, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 452, 340, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 45, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 220, 16, 340, 8368, 75078, 320, 45, 12264, 101, 452, 595, 75078, 320, 45, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 45, 12264, 101, 452, 8, 75078, 452, 8, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 45, 75078, 452, 8, 12264, 101, 320, 45, 75078, 452, 595, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 8368, 75078, 452, 8, 75078, 320, 45, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 45, 75078, 320, 45, 12264, 101, 452, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 452, 696, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 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Following it are legal manipulations of that expression.\n\nOriginal: ((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\n\nOptions:\n((N \u2227 N) \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2227 (N \u2228 N))\n(N \u2228 0) \u2227 ((N \u2228 N) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0)))\n(((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (N \u2227 N)) \u2228 (((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (1 \u2228 0))\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((1 \u2228 0) \u2228 (N \u2227 N))\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (((N \u2227 N) \u2228 1) \u2228 0)\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((N \u2227 N) \u2228 1)\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((N \u2227 N) \u2228 (0 \u2228 1))\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (N \u2228 (1 \u2228 0))\n((N \u2228 N) \u2227 (N \u2228 0)) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\n(((N \u2228 0) \u2227 N) \u2228 ((N \u2228 0) \u2227 N)) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\n((N \u2228 0) \u2227 N) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\n(N \u2227 (N \u2228 N)) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\n((0 \u2228 N) \u2227 (N \u2228 N)) \u2227 ((N \u2227 N) \u2228 (1 \u2228 0))\nChosen: ((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (N \u2228 (1 \u2228 0))\n\nOptions:\n(N \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2227 (N \u2228 N))\n(N \u2228 0) \u2227 ((N \u2228 N) \u2227 (N \u2228 (1 \u2228 0)))\n(((N \u2228 0) \u2227 (N \u2228 N)) \u2227 N) \u2228 (((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (1 \u2228 0))\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((1 \u2228 0) \u2228 N)\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 ((N \u2228 1) \u2228 0)\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (N \u2228 1)\n((N \u2228 0) \u2227 (N \u2228 N)) \u2227 (N \u2228 (0 \u2228 1))\n((N \u2228 N) \u2227 (N \u2228 0)) \u2227 (N \u2228 (1 \u2228 0))\n(((N \u2228 0) \u2227 N) \u2228 ((N \u2228 0) \u2227 N)) \u2227 (N \u2228 (1 \u2228 0))\n((N \u2228 0) \u2227 N) \u2227 (N \u2228 (1 \u2228 0))\n(N \u2227 (N \u2228 N)) \u2227 (N \u2228 (1 \u2228 0))\n((0 \u2228 N) \u2227 (N \u2228 N)) \u2227 (N \u2228 (1 \u2228 0))\nChosen: (N \u2227 (N \u2228 N)) \u2227 (N \u2228 (1 \u2228 0))\n\nOptions:\n(N \u2228 (1 \u2228 0)) \u2227 (N \u2227 (N \u2228 N))\nN \u2227 ((N \u2228 N) \u2227 (N \u2228 (1 \u2228 0)))\n((N \u2227 (N \u2228 N)) \u2227 N) \u2228 ((N \u2227 (N \u2228 N)) \u2227 (1 \u2228 0))\n(N \u2227 (N \u2228 N)) \u2227 ((1 \u2228 0) \u2228 N)\n(N \u2227 (N \u2228 N)) \u2227 ((N \u2228 1) \u2228 0)\n(N \u2227 (N \u2228 N)) \u2227 (N \u2228 1)\n(N \u2227 (N \u2228 N)) \u2227 (N \u2228 (0 \u2228 1))\n((N \u2228 N) \u2227 N) \u2227 (N \u2228 (1 \u2228 0))\n((N \u2227 N) \u2228 (N \u2227 N)) \u2227 (N \u2228 (1 \u2228 0))\n(N \u2227 N) \u2227 (N \u2228 (1 \u2228 0))\nChosen: (N \u2227 (N \u2228 N)) \u2227 ((1 \u2228 0) \u2228 N)\n\nOptions:\n((1 \u2228 0) \u2228 N) \u2227 (N \u2227 (N \u2228 N))\nN \u2227 ((N \u2228 N) \u2227 ((1 \u2228 0) \u2228 N))\n((N \u2227 (N \u2228 N)) \u2227 (1 \u2228 0)) \u2228 ((N \u2227 (N \u2228 N)) \u2227 N)\n(N \u2227 (N \u2228 N)) \u2227 (1 \u2228 (0 \u2228 N))\n(N \u2227 (N \u2228 N)) \u2227 (1 \u2228 N)\n(N \u2227 (N \u2228 N)) \u2227 ((0 \u2228 1) \u2228 N)\n((N \u2228 N) \u2227 N) \u2227 ((1 \u2228 0) \u2228 N)\n((N \u2227 N) \u2228 (N \u2227 N)) \u2227 ((1 \u2228 0) \u2228 N)\n(N \u2227 N) \u2227 ((1 \u2228 0) \u2228 N)\nChosen: (N \u2227 N) \u2227 ((1 \u2228 0) \u2228 N)\n\nOptions:\n((1 \u2228 0) \u2228 N) \u2227 (N \u2227 N)\nN \u2227 (N \u2227 ((1 \u2228 0) \u2228 N))\n((N \u2227 N) \u2227 (1 \u2228 0)) \u2228 ((N \u2227 N) \u2227 N)\n(N \u2227 N) \u2227 (N \u2228 (1 \u2228 0))\n(N \u2227 N) \u2227 (1 \u2228 (0 \u2228 N))\n(N \u2227 N) \u2227 (1 \u2228 N)\n(N \u2227 N) \u2227 ((0 \u2228 1) \u2228 N)\nN \u2227 ((1 \u2228 0) \u2228 N)\nChosen: (N \u2227 N) \u2227 ((0 \u2228 1) \u2228 N)", "id": 1710}, {"char_len": 1937, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 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"cl100k_base", "tokens_len": 1325, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac1)) \u2228 ((\u00acB) \u2227 (1 \u2228 0))\n\nOptions:\n((\u00acB) \u2227 (1 \u2228 0)) \u2228 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 (1 \u2228 0))\n(\u00ac(\u00ac1)) \u2228 ((1 \u2228 0) \u2227 (\u00acB))\n(\u00ac(\u00ac1)) \u2228 (((\u00acB) \u2227 1) \u2228 ((\u00acB) \u2227 0))\n(\u00ac(\u00ac1)) \u2228 ((\u00acB) \u2227 1)\n(\u00ac(\u00ac1)) \u2228 ((\u00acB) \u2227 (0 \u2228 1))\n1 \u2228 ((\u00acB) \u2227 (1 \u2228 0))\n(\u00ac0) \u2228 ((\u00acB) \u2227 (1 \u2228 0))\nChosen: ((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac(\u00ac1)) \u2228 (1 \u2228 0)) \u2227 ((\u00ac(\u00ac1)) \u2228 (\u00acB))\n(((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (\u00ac(\u00ac1))) \u2228 (((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 0))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((1 \u2228 0) \u2228 (\u00ac(\u00ac1)))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (((\u00ac(\u00ac1)) \u2228 1) \u2228 0)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 (0 \u2228 1))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 (1 \u2228 0))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((\u00ac0) \u2228 (1 \u2228 0))\n((\u00acB) \u2228 (\u00ac(\u00ac1))) \u2227 ((\u00ac(\u00ac1)) \u2228 (1 \u2228 0))\n(1 \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 (1 \u2228 0))\n((\u00ac0) \u2228 (\u00acB)) \u2227 ((\u00ac(\u00ac1)) \u2228 (1 \u2228 0))\nChosen: ((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 (1 \u2228 0))\n\nOptions:\n(1 \u2228 (1 \u2228 0)) \u2227 ((\u00ac(\u00ac1)) \u2228 (\u00acB))\n(((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1) \u2228 (((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 0))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((1 \u2228 0) \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((1 \u2228 1) \u2228 0)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 (0 \u2228 1))\n((\u00acB) \u2228 (\u00ac(\u00ac1))) \u2227 (1 \u2228 (1 \u2228 0))\n(1 \u2228 (\u00acB)) \u2227 (1 \u2228 (1 \u2228 0))\n((\u00ac0) \u2228 (\u00acB)) \u2227 (1 \u2228 (1 \u2228 0))\nChosen: ((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 (0 \u2228 1))\n\nOptions:\n(1 \u2228 (0 \u2228 1)) \u2227 ((\u00ac(\u00ac1)) \u2228 (\u00acB))\n(((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1) \u2228 (((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (0 \u2228 1))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((0 \u2228 1) \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((1 \u2228 0) \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 1)\n((\u00acB) \u2228 (\u00ac(\u00ac1))) \u2227 (1 \u2228 (0 \u2228 1))\n(1 \u2228 (\u00acB)) \u2227 (1 \u2228 (0 \u2228 1))\n((\u00ac0) \u2228 (\u00acB)) \u2227 (1 \u2228 (0 \u2228 1))\nChosen: ((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((0 \u2228 1) \u2228 1)\n\nOptions:\n((0 \u2228 1) \u2228 1) \u2227 ((\u00ac(\u00ac1)) \u2228 (\u00acB))\n(((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (0 \u2228 1)) \u2228 (((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 1\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (0 \u2228 (1 \u2228 1))\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 (1 \u2228 1)\n((\u00ac(\u00ac1)) \u2228 (\u00acB)) \u2227 ((1 \u2228 0) \u2228 1)\n((\u00acB) \u2228 (\u00ac(\u00ac1))) \u2227 ((0 \u2228 1) \u2228 1)\n(1 \u2228 (\u00acB)) \u2227 ((0 \u2228 1) \u2228 1)\n((\u00ac0) \u2228 (\u00acB)) \u2227 ((0 \u2228 1) \u2228 1)\nChosen: ((\u00ac0) \u2228 (\u00acB)) \u2227 ((0 \u2228 1) \u2228 1)", "id": 1711}, {"char_len": 876, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 32, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 32, 12264, 101, 220, 16, 1192, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 362, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 1209, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 32, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 15, 75078, 320, 32, 12264, 101, 220, 16, 1192, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 7, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 362, 8, 75078, 220, 15, 340, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 1819, 32, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 32, 75078, 220, 15, 595, 12264, 101, 220, 15, 271, 3883, 512, 83193, 7, 32, 75078, 220, 15, 340, 15, 12264, 101, 320, 83193, 7, 32, 75078, 220, 15, 1192, 1209, 83193, 32, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 83193, 15, 8, 12264, 101, 220, 15, 198, 7, 83193, 7, 15, 75078, 362, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 97265, 7, 32, 75078, 220, 15, 696, 3883, 512, 7, 83193, 32, 8, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 362, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 565, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(A \u2227 0)) \u2228 ((A \u2228 1) \u2227 (\u00ac1))\n\nOptions:\n((A \u2228 1) \u2227 (\u00ac1)) \u2228 (\u00ac(A \u2227 0))\n((\u00ac(A \u2227 0)) \u2228 (A \u2228 1)) \u2227 ((\u00ac(A \u2227 0)) \u2228 (\u00ac1))\n(\u00ac(A \u2227 0)) \u2228 ((\u00ac1) \u2227 (A \u2228 1))\n(\u00ac(A \u2227 0)) \u2228 ((A \u2228 1) \u2227 0)\n(\u00ac(A \u2227 0)) \u2228 (1 \u2227 (\u00ac1))\n(\u00ac(A \u2227 0)) \u2228 ((1 \u2228 A) \u2227 (\u00ac1))\n((\u00acA) \u2228 (\u00ac0)) \u2228 ((A \u2228 1) \u2227 (\u00ac1))\n(\u00ac0) \u2228 ((A \u2228 1) \u2227 (\u00ac1))\n(\u00ac(0 \u2227 A)) \u2228 ((A \u2228 1) \u2227 (\u00ac1))\nChosen: (\u00ac(A \u2227 0)) \u2228 ((A \u2228 1) \u2227 0)\n\nOptions:\n((A \u2228 1) \u2227 0) \u2228 (\u00ac(A \u2227 0))\n((\u00ac(A \u2227 0)) \u2228 (A \u2228 1)) \u2227 ((\u00ac(A \u2227 0)) \u2228 0)\n(\u00ac(A \u2227 0)) \u2228 0\n(\u00ac(A \u2227 0)) \u2228 (0 \u2227 (A \u2228 1))\n(\u00ac(A \u2227 0)) \u2228 (1 \u2227 0)\n(\u00ac(A \u2227 0)) \u2228 ((1 \u2228 A) \u2227 0)\n((\u00acA) \u2228 (\u00ac0)) \u2228 ((A \u2228 1) \u2227 0)\n(\u00ac0) \u2228 ((A \u2228 1) \u2227 0)\n(\u00ac(0 \u2227 A)) \u2228 ((A \u2228 1) \u2227 0)\nChosen: (\u00ac(A \u2227 0)) \u2228 0\n\nOptions:\n\u00ac(A \u2227 0)\n0 \u2228 (\u00ac(A \u2227 0))\n((\u00acA) \u2228 (\u00ac0)) \u2228 0\n(\u00ac0) \u2228 0\n(\u00ac(0 \u2227 A)) \u2228 0\nChosen: \u00ac(A \u2227 0)\n\nOptions:\n(\u00acA) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 A)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1712}, {"char_len": 836, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 36, 12264, 101, 622, 8, 75078, 320, 41, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 1192, 83193, 1209, 41, 75078, 220, 15, 8, 75078, 320, 36, 12264, 101, 622, 1192, 83193, 6774, 36, 12264, 101, 622, 8, 75078, 622, 8, 75078, 220, 15, 340, 83193, 1209, 36, 12264, 101, 622, 8, 75078, 220, 15, 340, 83193, 1209, 36, 12264, 101, 622, 8, 75078, 320, 15, 75078, 622, 1192, 83193, 1209, 41, 12264, 101, 469, 8, 75078, 320, 41, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 36, 12264, 101, 622, 1192, 7, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 320, 83193, 7, 15, 75078, 622, 1192, 1209, 83193, 36, 8, 75078, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 1192, 7, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 41, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 41, 12264, 101, 469, 1192, 7, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 15, 75078, 622, 1192, 1209, 83193, 41, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 7, 41, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 41, 12264, 101, 469, 1192, 7, 83193, 7, 41, 12264, 101, 469, 595, 12264, 101, 220, 16, 198, 1209, 83193, 41, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 36, 12264, 101, 622, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 83193, 41, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 41, 8, 75078, 320, 83193, 36, 1192, 1209, 83193, 41, 8, 75078, 320, 83193, 36, 595, 12264, 101, 220, 16, 198, 1209, 83193, 36, 8, 75078, 320, 83193, 41, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 1819, 83193, 36, 8, 75078, 320, 83193, 41, 595, 12264, 101, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 515, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((E \u2228 J) \u2227 (J \u2227 0))\n\nOptions:\n(\u00ac(E \u2228 J)) \u2228 (\u00ac(J \u2227 0))\n\u00ac((J \u2227 0) \u2227 (E \u2228 J))\n\u00ac(((E \u2228 J) \u2227 J) \u2227 0)\n\u00ac((E \u2228 J) \u2227 0)\n\u00ac((E \u2228 J) \u2227 (0 \u2227 J))\n\u00ac((J \u2228 E) \u2227 (J \u2227 0))\nChosen: (\u00ac(E \u2228 J)) \u2228 (\u00ac(J \u2227 0))\n\nOptions:\n(\u00ac(J \u2227 0)) \u2228 (\u00ac(E \u2228 J))\n(\u00ac(E \u2228 J)) \u2228 ((\u00acJ) \u2228 (\u00ac0))\n(\u00ac(E \u2228 J)) \u2228 (\u00ac0)\n(\u00ac(E \u2228 J)) \u2228 (\u00ac(0 \u2227 J))\n((\u00acE) \u2227 (\u00acJ)) \u2228 (\u00ac(J \u2227 0))\n(\u00ac(J \u2228 E)) \u2228 (\u00ac(J \u2227 0))\nChosen: (\u00ac(J \u2228 E)) \u2228 (\u00ac(J \u2227 0))\n\nOptions:\n(\u00ac(J \u2227 0)) \u2228 (\u00ac(J \u2228 E))\n(\u00ac(J \u2228 E)) \u2228 ((\u00acJ) \u2228 (\u00ac0))\n(\u00ac(J \u2228 E)) \u2228 (\u00ac0)\n(\u00ac(J \u2228 E)) \u2228 (\u00ac(0 \u2227 J))\n((\u00acJ) \u2227 (\u00acE)) \u2228 (\u00ac(J \u2227 0))\nChosen: (\u00ac(J \u2228 E)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(J \u2228 E))\n(\u00ac(J \u2228 E)) \u2228 1\n((\u00acJ) \u2227 (\u00acE)) \u2228 (\u00ac0)\n(\u00ac(E \u2228 J)) \u2228 (\u00ac0)\nChosen: ((\u00acJ) \u2227 (\u00acE)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 ((\u00acJ) \u2227 (\u00acE))\n((\u00acJ) \u2227 (\u00acE)) \u2228 1\n((\u00acE) \u2227 (\u00acJ)) \u2228 (\u00ac0)\nChosen: ((\u00acE) \u2227 (\u00acJ)) \u2228 (\u00ac0)", "id": 1713}, {"char_len": 746, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 12264, 101, 358, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 83193, 1209, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 358, 1192, 83193, 7, 16, 12264, 101, 320, 40, 12264, 101, 320, 83193, 50, 6054, 83193, 7, 16, 12264, 101, 320, 83193, 50, 1192, 83193, 1209, 40, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 97265, 1209, 40, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 83193, 1209, 83193, 50, 8, 12264, 101, 320, 40, 12264, 101, 220, 16, 1192, 83193, 7, 40, 12264, 101, 320, 16, 12264, 101, 320, 83193, 50, 6054, 83193, 7, 16, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 83193, 50, 595, 75078, 320, 83193, 7, 40, 12264, 101, 220, 16, 1192, 7, 83193, 7, 40, 12264, 101, 220, 16, 595, 75078, 328, 198, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 358, 595, 75078, 320, 83193, 7, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 83193, 50, 595, 75078, 320, 83193, 7, 16, 12264, 101, 358, 1192, 7, 83193, 7, 16, 12264, 101, 358, 595, 75078, 328, 198, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 83193, 50, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 320, 83193, 7, 83193, 50, 4489, 3883, 512, 7, 83193, 7, 83193, 50, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 40, 8, 75078, 320, 83193, 7, 83193, 50, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 328, 198, 1209, 83193, 40, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 7, 15, 75078, 320, 83193, 40, 595, 75078, 320, 83193, 7, 83193, 50, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 40, 595, 75078, 328], "tokenizer": "cl100k_base", "tokens_len": 441, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2228 I) \u2228 (\u00acS))\n\nOptions:\n(\u00ac(1 \u2228 I)) \u2227 (\u00ac(\u00acS))\n\u00ac((\u00acS) \u2228 (1 \u2228 I))\n\u00ac(1 \u2228 (I \u2228 (\u00acS)))\n\u00ac(1 \u2228 (\u00acS))\n\u00ac((I \u2228 1) \u2228 (\u00acS))\nChosen: \u00ac((I \u2228 1) \u2228 (\u00acS))\n\nOptions:\n(\u00ac(I \u2228 1)) \u2227 (\u00ac(\u00acS))\n\u00ac((\u00acS) \u2228 (I \u2228 1))\n\u00ac(I \u2228 (1 \u2228 (\u00acS)))\n\u00ac(1 \u2228 (\u00acS))\nChosen: (\u00ac(I \u2228 1)) \u2227 (\u00ac(\u00acS))\n\nOptions:\n(\u00ac(\u00acS)) \u2227 (\u00ac(I \u2228 1))\n(\u00ac(I \u2228 1)) \u2227 S\n((\u00acI) \u2227 (\u00ac1)) \u2227 (\u00ac(\u00acS))\n(\u00ac1) \u2227 (\u00ac(\u00acS))\n(\u00ac(1 \u2228 I)) \u2227 (\u00ac(\u00acS))\nChosen: (\u00ac(1 \u2228 I)) \u2227 (\u00ac(\u00acS))\n\nOptions:\n(\u00ac(\u00acS)) \u2227 (\u00ac(1 \u2228 I))\n(\u00ac(1 \u2228 I)) \u2227 S\n((\u00ac1) \u2227 (\u00acI)) \u2227 (\u00ac(\u00acS))\n(\u00ac1) \u2227 (\u00ac(\u00acS))\nChosen: ((\u00ac1) \u2227 (\u00acI)) \u2227 (\u00ac(\u00acS))\n\nOptions:\n(\u00ac(\u00acS)) \u2227 ((\u00ac1) \u2227 (\u00acI))\n(\u00ac1) \u2227 ((\u00acI) \u2227 (\u00ac(\u00acS)))\n((\u00ac1) \u2227 (\u00acI)) \u2227 S\n((\u00acI) \u2227 (\u00ac1)) \u2227 (\u00ac(\u00acS))\n(0 \u2227 (\u00acI)) \u2227 (\u00ac(\u00acS))\nChosen: ((\u00ac1) \u2227 (\u00acI)) \u2227 S", "id": 1714}, {"char_len": 765, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 1192, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 35, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 35, 7861, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 35, 1192, 16, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 16, 340, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 16, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 35, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 35, 1192, 16, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 220, 15, 198, 16, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 35, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 16, 696, 3883, 512, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 220, 15, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 510, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 0) \u2228 (\u00acD)) \u2228 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 ((1 \u2228 0) \u2228 (\u00acD))\n(1 \u2228 0) \u2228 ((\u00acD) \u2228 (\u00ac(0 \u2228 1)))\n((1 \u2228 0) \u2228 (\u00acD)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((1 \u2228 0) \u2228 (\u00acD)) \u2228 (\u00ac1)\n((1 \u2228 0) \u2228 (\u00acD)) \u2228 (\u00ac(1 \u2228 0))\n((\u00acD) \u2228 (1 \u2228 0)) \u2228 (\u00ac(0 \u2228 1))\n(1 \u2228 (0 \u2228 (\u00acD))) \u2228 (\u00ac(0 \u2228 1))\n(1 \u2228 (\u00acD)) \u2228 (\u00ac(0 \u2228 1))\n((0 \u2228 1) \u2228 (\u00acD)) \u2228 (\u00ac(0 \u2228 1))\nChosen: (1 \u2228 (\u00acD)) \u2228 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 (1 \u2228 (\u00acD))\n1 \u2228 ((\u00acD) \u2228 (\u00ac(0 \u2228 1)))\n(1 \u2228 (\u00acD)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(1 \u2228 (\u00acD)) \u2228 (\u00ac1)\n(1 \u2228 (\u00acD)) \u2228 (\u00ac(1 \u2228 0))\n1 \u2228 (\u00ac(0 \u2228 1))\n((\u00acD) \u2228 1) \u2228 (\u00ac(0 \u2228 1))\nChosen: (1 \u2228 (\u00acD)) \u2228 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2228 (1 \u2228 (\u00acD))\n1 \u2228 ((\u00acD) \u2228 (\u00ac1))\n(1 \u2228 (\u00acD)) \u2228 0\n1 \u2228 (\u00ac1)\n((\u00acD) \u2228 1) \u2228 (\u00ac1)\nChosen: 1 \u2228 (\u00ac1)\n\nOptions:\n1\n(\u00ac1) \u2228 1\n1 \u2228 0\nChosen: 1", "id": 1715}, {"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, 15, 4489, 3883, 512, 83193, 15, 198, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "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(\u00ac0))\n\nOptions:\n\u00ac0\n\u00ac(\u00ac1)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1716}, {"char_len": 2660, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 33, 75078, 220, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 33, 75078, 220, 16, 595, 75078, 1819, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 1192, 6774, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 11861, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 320, 33, 75078, 220, 16, 1192, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 1819, 33, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 33, 75078, 220, 16, 6054, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 426, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 1192, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 426, 340, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 426, 1192, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 33, 75078, 220, 16, 1192, 1209, 39, 12264, 101, 426, 8, 12264, 101, 320, 39, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 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"data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n\nOptions:\n((1 \u2228 0) \u2228 (B \u2227 1)) \u2227 ((H \u2228 B) \u2228 (H \u2228 0))\n(((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 0)) \u2228 (((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (B \u2227 1))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((B \u2227 1) \u2228 (1 \u2228 0))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (0 \u2228 (B \u2227 1)))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (((1 \u2228 0) \u2228 B) \u2227 ((1 \u2228 0) \u2228 1))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 B)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 (1 \u2227 B))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (B \u2227 1))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((0 \u2228 1) \u2228 (B \u2227 1))\n((H \u2228 0) \u2228 (H \u2228 B)) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n(((H \u2228 B) \u2228 H) \u2228 0) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n(H \u2228 (B \u2228 (H \u2228 0))) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n((H \u2228 B) \u2228 H) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n((H \u2228 B) \u2228 (0 \u2228 H)) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\n((B \u2228 H) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 (B \u2227 1))\nChosen: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 B)\n\nOptions:\n((1 \u2228 0) \u2228 B) \u2227 ((H \u2228 B) \u2228 (H \u2228 0))\n(((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 0)) \u2228 (((H \u2228 B) \u2228 (H \u2228 0)) \u2227 B)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (B \u2228 (1 \u2228 0))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (0 \u2228 B))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 B)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((0 \u2228 1) \u2228 B)\n((H \u2228 0) \u2228 (H \u2228 B)) \u2227 ((1 \u2228 0) \u2228 B)\n(((H \u2228 B) \u2228 H) \u2228 0) \u2227 ((1 \u2228 0) \u2228 B)\n(H \u2228 (B \u2228 (H \u2228 0))) \u2227 ((1 \u2228 0) \u2228 B)\n((H \u2228 B) \u2228 H) \u2227 ((1 \u2228 0) \u2228 B)\n((H \u2228 B) \u2228 (0 \u2228 H)) \u2227 ((1 \u2228 0) \u2228 B)\n((B \u2228 H) \u2228 (H \u2228 0)) \u2227 ((1 \u2228 0) \u2228 B)\nChosen: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (0 \u2228 B))\n\nOptions:\n(1 \u2228 (0 \u2228 B)) \u2227 ((H \u2228 B) \u2228 (H \u2228 0))\n(((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1) \u2228 (((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (0 \u2228 B))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((0 \u2228 B) \u2228 1)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 B)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (B \u2228 0))\n((H \u2228 0) \u2228 (H \u2228 B)) \u2227 (1 \u2228 (0 \u2228 B))\n(((H \u2228 B) \u2228 H) \u2228 0) \u2227 (1 \u2228 (0 \u2228 B))\n(H \u2228 (B \u2228 (H \u2228 0))) \u2227 (1 \u2228 (0 \u2228 B))\n((H \u2228 B) \u2228 H) \u2227 (1 \u2228 (0 \u2228 B))\n((H \u2228 B) \u2228 (0 \u2228 H)) \u2227 (1 \u2228 (0 \u2228 B))\n((B \u2228 H) \u2228 (H \u2228 0)) \u2227 (1 \u2228 (0 \u2228 B))\nChosen: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((0 \u2228 B) \u2228 1)\n\nOptions:\n((0 \u2228 B) \u2228 1) \u2227 ((H \u2228 B) \u2228 (H \u2228 0))\n(((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (0 \u2228 B)) \u2228 (((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (0 \u2228 (B \u2228 1))\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (B \u2228 1)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 ((B \u2228 0) \u2228 1)\n((H \u2228 0) \u2228 (H \u2228 B)) \u2227 ((0 \u2228 B) \u2228 1)\n(((H \u2228 B) \u2228 H) \u2228 0) \u2227 ((0 \u2228 B) \u2228 1)\n(H \u2228 (B \u2228 (H \u2228 0))) \u2227 ((0 \u2228 B) \u2228 1)\n((H \u2228 B) \u2228 H) \u2227 ((0 \u2228 B) \u2228 1)\n((H \u2228 B) \u2228 (0 \u2228 H)) \u2227 ((0 \u2228 B) \u2228 1)\n((B \u2228 H) \u2228 (H \u2228 0)) \u2227 ((0 \u2228 B) \u2228 1)\nChosen: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (B \u2228 1)\n\nOptions:\n(B \u2228 1) \u2227 ((H \u2228 B) \u2228 (H \u2228 0))\n(((H \u2228 B) \u2228 (H \u2228 0)) \u2227 B) \u2228 (((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1)\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1\n((H \u2228 B) \u2228 (H \u2228 0)) \u2227 (1 \u2228 B)\n((H \u2228 0) \u2228 (H \u2228 B)) \u2227 (B \u2228 1)\n(((H \u2228 B) \u2228 H) \u2228 0) \u2227 (B \u2228 1)\n(H \u2228 (B \u2228 (H \u2228 0))) \u2227 (B \u2228 1)\n((H \u2228 B) \u2228 H) \u2227 (B \u2228 1)\n((H \u2228 B) \u2228 (0 \u2228 H)) \u2227 (B \u2228 1)\n((B \u2228 H) \u2228 (H \u2228 0)) \u2227 (B \u2228 1)\nChosen: ((H \u2228 B) \u2228 (H \u2228 0)) \u2227 1", "id": 1717}, {"char_len": 908, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 35, 595, 12264, 101, 1819, 52, 75078, 549, 8, 75078, 320, 35, 75078, 549, 4489, 3883, 512, 1209, 52, 75078, 549, 8, 75078, 320, 35, 75078, 549, 595, 12264, 101, 320, 83193, 7, 83193, 35, 1192, 1209, 83193, 7, 83193, 35, 595, 12264, 101, 320, 52, 75078, 549, 595, 75078, 1819, 83193, 7, 83193, 35, 595, 12264, 101, 320, 35, 75078, 549, 1192, 7, 83193, 7, 83193, 35, 595, 12264, 101, 1819, 35, 75078, 549, 8, 75078, 320, 52, 75078, 549, 1192, 7, 83193, 7, 83193, 35, 595, 12264, 101, 11861, 52, 75078, 549, 8, 75078, 423, 8, 75078, 549, 340, 7, 83193, 7, 83193, 35, 595, 12264, 101, 320, 52, 75078, 320, 52, 75078, 320, 35, 75078, 549, 6054, 7, 83193, 7, 83193, 35, 595, 12264, 101, 1819, 52, 75078, 549, 8, 75078, 320, 52, 75078, 423, 1192, 7, 83193, 7, 83193, 35, 595, 12264, 101, 320, 52, 75078, 320, 35, 75078, 549, 1192, 35, 12264, 101, 1819, 52, 75078, 549, 8, 75078, 320, 35, 75078, 549, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 35, 595, 12264, 101, 320, 52, 75078, 320, 35, 75078, 549, 4489, 3883, 512, 12597, 75078, 320, 35, 75078, 549, 595, 12264, 101, 320, 83193, 7, 83193, 35, 1192, 1209, 83193, 7, 83193, 35, 595, 12264, 101, 549, 8, 75078, 1819, 83193, 7, 83193, 35, 595, 12264, 101, 320, 35, 75078, 549, 1192, 7, 83193, 7, 83193, 35, 595, 12264, 101, 1819, 35, 75078, 549, 8, 75078, 549, 340, 7, 83193, 7, 83193, 35, 595, 12264, 101, 1819, 52, 75078, 423, 8, 75078, 549, 340, 7, 83193, 7, 83193, 35, 595, 12264, 101, 320, 52, 75078, 320, 52, 75078, 423, 1192, 35, 12264, 101, 320, 52, 75078, 320, 35, 75078, 549, 1192, 1163, 8477, 25, 423, 12264, 101, 320, 52, 75078, 320, 35, 75078, 549, 4489, 3883, 512, 12597, 75078, 320, 35, 75078, 549, 595, 12264, 101, 423, 198, 5549, 12264, 101, 549, 8, 75078, 320, 35, 12264, 101, 320, 35, 75078, 549, 1192, 35, 12264, 101, 1819, 35, 75078, 549, 8, 75078, 549, 340, 35, 12264, 101, 1819, 52, 75078, 423, 8, 75078, 549, 340, 35, 12264, 101, 320, 52, 75078, 320, 52, 75078, 423, 1192, 1163, 8477, 25, 320, 52, 75078, 320, 35, 75078, 549, 595, 12264, 101, 423, 271, 3883, 512, 1209, 35, 75078, 549, 8, 75078, 549, 8, 12264, 101, 423, 198, 1209, 52, 75078, 423, 8, 75078, 549, 8, 12264, 101, 423, 198, 12597, 75078, 320, 52, 75078, 423, 595, 12264, 101, 423, 198, 1163, 8477, 25, 1819, 52, 75078, 423, 8, 75078, 549, 8, 12264, 101, 423, 271, 3883, 512, 35, 12264, 101, 1819, 52, 75078, 423, 8, 75078, 549, 340, 12597, 75078, 320, 52, 75078, 423, 595, 12264, 101, 423, 198, 1209, 35, 75078, 549, 8, 75078, 549, 8, 12264, 101, 423, 198, 1163, 8477, 25, 1819, 35, 75078, 549, 8, 75078, 549, 8, 12264, 101, 423], "tokenizer": "cl100k_base", "tokens_len": 502, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acD)) \u2228 ((U \u2227 U) \u2227 (D \u2227 U))\n\nOptions:\n((U \u2227 U) \u2227 (D \u2227 U)) \u2228 (\u00ac(\u00acD))\n((\u00ac(\u00acD)) \u2228 (U \u2227 U)) \u2227 ((\u00ac(\u00acD)) \u2228 (D \u2227 U))\n(\u00ac(\u00acD)) \u2228 ((D \u2227 U) \u2227 (U \u2227 U))\n(\u00ac(\u00acD)) \u2228 (((U \u2227 U) \u2227 D) \u2227 U)\n(\u00ac(\u00acD)) \u2228 (U \u2227 (U \u2227 (D \u2227 U)))\n(\u00ac(\u00acD)) \u2228 ((U \u2227 U) \u2227 (U \u2227 D))\n(\u00ac(\u00acD)) \u2228 (U \u2227 (D \u2227 U))\nD \u2228 ((U \u2227 U) \u2227 (D \u2227 U))\nChosen: (\u00ac(\u00acD)) \u2228 (U \u2227 (D \u2227 U))\n\nOptions:\n(U \u2227 (D \u2227 U)) \u2228 (\u00ac(\u00acD))\n((\u00ac(\u00acD)) \u2228 U) \u2227 ((\u00ac(\u00acD)) \u2228 (D \u2227 U))\n(\u00ac(\u00acD)) \u2228 ((D \u2227 U) \u2227 U)\n(\u00ac(\u00acD)) \u2228 ((U \u2227 D) \u2227 U)\n(\u00ac(\u00acD)) \u2228 (U \u2227 (U \u2227 D))\nD \u2228 (U \u2227 (D \u2227 U))\nChosen: D \u2228 (U \u2227 (D \u2227 U))\n\nOptions:\n(U \u2227 (D \u2227 U)) \u2228 D\n(D \u2228 U) \u2227 (D \u2228 (D \u2227 U))\nD \u2228 ((D \u2227 U) \u2227 U)\nD \u2228 ((U \u2227 D) \u2227 U)\nD \u2228 (U \u2227 (U \u2227 D))\nChosen: (U \u2227 (D \u2227 U)) \u2228 D\n\nOptions:\n((D \u2227 U) \u2227 U) \u2228 D\n((U \u2227 D) \u2227 U) \u2228 D\n(U \u2227 (U \u2227 D)) \u2228 D\nChosen: ((U \u2227 D) \u2227 U) \u2228 D\n\nOptions:\nD \u2228 ((U \u2227 D) \u2227 U)\n(U \u2227 (U \u2227 D)) \u2228 D\n((D \u2227 U) \u2227 U) \u2228 D\nChosen: ((D \u2227 U) \u2227 U) \u2228 D", "id": 1718}, {"char_len": 1036, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 35, 340, 7, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 426, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 595, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 426, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 35, 1192, 1209, 16, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 426, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 33, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 7, 15, 12264, 101, 320, 16, 12264, 101, 426, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 35, 340, 7, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 6054, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 35, 1192, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 7, 16, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 7, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 16, 198, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 35, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 35, 340, 16, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 320, 83193, 16, 1192, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 16, 198, 7, 15, 12264, 101, 320, 83193, 35, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 35, 340, 16, 12264, 101, 320, 83193, 35, 340, 16, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 83193, 35, 8, 12264, 101, 220, 15, 696, 3883, 512, 16, 198, 1209, 83193, 35, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 83193, 35, 595, 12264, 101, 220, 15, 198, 16, 12264, 101, 320, 83193, 35, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 690, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (1 \u2228 B)) \u2228 ((\u00ac1) \u2228 (\u00acD))\n\nOptions:\n((\u00ac1) \u2228 (\u00acD)) \u2228 ((0 \u2227 0) \u2228 (1 \u2228 B))\n(((0 \u2227 0) \u2228 (1 \u2228 B)) \u2228 (\u00ac1)) \u2228 (\u00acD)\n(0 \u2227 0) \u2228 ((1 \u2228 B) \u2228 ((\u00ac1) \u2228 (\u00acD)))\n((0 \u2227 0) \u2228 (1 \u2228 B)) \u2228 ((\u00acD) \u2228 (\u00ac1))\n((0 \u2227 0) \u2228 (1 \u2228 B)) \u2228 (0 \u2228 (\u00acD))\n((1 \u2228 B) \u2228 (0 \u2227 0)) \u2228 ((\u00ac1) \u2228 (\u00acD))\n(((0 \u2227 0) \u2228 1) \u2228 B) \u2228 ((\u00ac1) \u2228 (\u00acD))\n((0 \u2227 0) \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00acD))\n((0 \u2227 0) \u2228 (B \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00acD))\n(0 \u2228 (1 \u2228 B)) \u2228 ((\u00ac1) \u2228 (\u00acD))\nChosen: ((0 \u2227 0) \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00acD))\n\nOptions:\n((\u00ac1) \u2228 (\u00acD)) \u2228 ((0 \u2227 0) \u2228 1)\n(((0 \u2227 0) \u2228 1) \u2228 (\u00ac1)) \u2228 (\u00acD)\n(0 \u2227 0) \u2228 (1 \u2228 ((\u00ac1) \u2228 (\u00acD)))\n((0 \u2227 0) \u2228 1) \u2228 ((\u00acD) \u2228 (\u00ac1))\n((0 \u2227 0) \u2228 1) \u2228 (0 \u2228 (\u00acD))\n1 \u2228 ((\u00ac1) \u2228 (\u00acD))\n(1 \u2228 (0 \u2227 0)) \u2228 ((\u00ac1) \u2228 (\u00acD))\n(0 \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00acD))\nChosen: 1 \u2228 ((\u00ac1) \u2228 (\u00acD))\n\nOptions:\n1\n((\u00ac1) \u2228 (\u00acD)) \u2228 1\n(1 \u2228 (\u00ac1)) \u2228 (\u00acD)\n1 \u2228 ((\u00acD) \u2228 (\u00ac1))\n1 \u2228 (0 \u2228 (\u00acD))\nChosen: 1 \u2228 (0 \u2228 (\u00acD))\n\nOptions:\n1\n(0 \u2228 (\u00acD)) \u2228 1\n(1 \u2228 0) \u2228 (\u00acD)\n1 \u2228 (\u00acD)\n1 \u2228 ((\u00acD) \u2228 0)\nChosen: 1 \u2228 ((\u00acD) \u2228 0)\n\nOptions:\n1\n((\u00acD) \u2228 0) \u2228 1\n(1 \u2228 (\u00acD)) \u2228 0\n1 \u2228 (\u00acD)\nChosen: 1", "id": 1719}, {"char_len": 1553, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 33, 75078, 469, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 33, 75078, 469, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 469, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 320, 16, 75078, 220, 15, 1192, 5462, 75078, 469, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 6054, 1209, 33, 75078, 469, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 36, 1192, 1209, 33, 75078, 469, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 33, 75078, 469, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 6774, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 5462, 75078, 320, 36, 75078, 320, 16, 75078, 220, 15, 7861, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 33, 75078, 469, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 36, 75078, 426, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1163, 8477, 25, 11861, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 469, 595, 75078, 11861, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 320, 15, 75078, 320, 83193, 7, 33, 75078, 469, 6054, 6774, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 36, 1192, 6774, 33, 75078, 469, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 15, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 7, 15, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 16, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 16, 75078, 320, 33, 75078, 469, 595, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 33, 75078, 320, 36, 75078, 220, 16, 595, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 6774, 36, 75078, 426, 8, 75078, 220, 16, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1163, 8477, 25, 1819, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 469, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 15, 340, 5462, 75078, 469, 8, 75078, 320, 15, 75078, 320, 83193, 7, 33, 75078, 469, 6054, 1209, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 36, 1192, 1209, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 15, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 7, 15, 75078, 320, 33, 75078, 469, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 5462, 75078, 320, 36, 75078, 220, 15, 595, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1209, 36, 75078, 426, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 33, 75078, 469, 1192, 1163, 8477, 25, 1819, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 36, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 36, 75078, 426, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 15, 340, 5462, 75078, 469, 8, 75078, 320, 15, 75078, 320, 83193, 7, 36, 75078, 426, 6054, 1209, 33, 75078, 469, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 33, 1192, 15, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 7, 15, 75078, 320, 33, 75078, 469, 595, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 5462, 75078, 320, 36, 75078, 220, 15, 595, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 1209, 36, 75078, 426, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 36, 75078, 426, 1192, 1163, 8477, 25, 320, 83193, 7, 36, 75078, 426, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 7, 36, 75078, 426, 595, 75078, 320, 33, 75078, 469, 595, 75078, 220, 15, 198, 7, 83193, 7, 36, 75078, 426, 595, 75078, 220, 15, 198, 7, 83193, 7, 36, 75078, 426, 595, 75078, 320, 15, 75078, 320, 33, 75078, 469, 1192, 7, 83193, 7, 36, 75078, 426, 595, 75078, 320, 33, 75078, 320, 36, 75078, 220, 15, 1192, 7, 83193, 7, 36, 75078, 426, 595, 75078, 1819, 36, 75078, 426, 8, 75078, 220, 15, 340, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 33, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 15, 340, 7, 83193, 7, 33, 75078, 469, 595, 75078, 1819, 33, 75078, 469, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 36, 75078, 426, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 890, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((B \u2227 E) \u2227 (1 \u2227 0)) \u2227 (\u00ac(B \u2227 E))\n\nOptions:\n(\u00ac(B \u2227 E)) \u2227 ((B \u2227 E) \u2227 (1 \u2227 0))\n(B \u2227 E) \u2227 ((1 \u2227 0) \u2227 (\u00ac(B \u2227 E)))\n((B \u2227 E) \u2227 (1 \u2227 0)) \u2227 ((\u00acB) \u2228 (\u00acE))\n((B \u2227 E) \u2227 (1 \u2227 0)) \u2227 (\u00ac(E \u2227 B))\n((1 \u2227 0) \u2227 (B \u2227 E)) \u2227 (\u00ac(B \u2227 E))\n(((B \u2227 E) \u2227 1) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n(B \u2227 (E \u2227 (1 \u2227 0))) \u2227 (\u00ac(B \u2227 E))\n((B \u2227 E) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n((B \u2227 E) \u2227 (0 \u2227 1)) \u2227 (\u00ac(B \u2227 E))\n((E \u2227 B) \u2227 (1 \u2227 0)) \u2227 (\u00ac(B \u2227 E))\nChosen: (((B \u2227 E) \u2227 1) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n\nOptions:\n(\u00ac(B \u2227 E)) \u2227 (((B \u2227 E) \u2227 1) \u2227 0)\n((B \u2227 E) \u2227 1) \u2227 (0 \u2227 (\u00ac(B \u2227 E)))\n(((B \u2227 E) \u2227 1) \u2227 0) \u2227 ((\u00acB) \u2228 (\u00acE))\n(((B \u2227 E) \u2227 1) \u2227 0) \u2227 (\u00ac(E \u2227 B))\n0 \u2227 (\u00ac(B \u2227 E))\n(0 \u2227 ((B \u2227 E) \u2227 1)) \u2227 (\u00ac(B \u2227 E))\n((B \u2227 E) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n((1 \u2227 (B \u2227 E)) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n((B \u2227 (E \u2227 1)) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n(((E \u2227 B) \u2227 1) \u2227 0) \u2227 (\u00ac(B \u2227 E))\nChosen: ((B \u2227 E) \u2227 0) \u2227 (\u00ac(B \u2227 E))\n\nOptions:\n(\u00ac(B \u2227 E)) \u2227 ((B \u2227 E) \u2227 0)\n(B \u2227 E) \u2227 (0 \u2227 (\u00ac(B \u2227 E)))\n((B \u2227 E) \u2227 0) \u2227 ((\u00acB) \u2228 (\u00acE))\n((B \u2227 E) \u2227 0) \u2227 (\u00ac(E \u2227 B))\n0 \u2227 (\u00ac(B \u2227 E))\n(0 \u2227 (B \u2227 E)) \u2227 (\u00ac(B \u2227 E))\n(B \u2227 (E \u2227 0)) \u2227 (\u00ac(B \u2227 E))\n((E \u2227 B) \u2227 0) \u2227 (\u00ac(B \u2227 E))\nChosen: ((B \u2227 E) \u2227 0) \u2227 (\u00ac(E \u2227 B))\n\nOptions:\n(\u00ac(E \u2227 B)) \u2227 ((B \u2227 E) \u2227 0)\n(B \u2227 E) \u2227 (0 \u2227 (\u00ac(E \u2227 B)))\n((B \u2227 E) \u2227 0) \u2227 ((\u00acE) \u2228 (\u00acB))\n0 \u2227 (\u00ac(E \u2227 B))\n(0 \u2227 (B \u2227 E)) \u2227 (\u00ac(E \u2227 B))\n(B \u2227 (E \u2227 0)) \u2227 (\u00ac(E \u2227 B))\n((E \u2227 B) \u2227 0) \u2227 (\u00ac(E \u2227 B))\nChosen: (\u00ac(E \u2227 B)) \u2227 ((B \u2227 E) \u2227 0)\n\nOptions:\n((\u00ac(E \u2227 B)) \u2227 (B \u2227 E)) \u2227 0\n(\u00ac(E \u2227 B)) \u2227 0\n(\u00ac(E \u2227 B)) \u2227 (0 \u2227 (B \u2227 E))\n(\u00ac(E \u2227 B)) \u2227 (B \u2227 (E \u2227 0))\n(\u00ac(E \u2227 B)) \u2227 ((E \u2227 B) \u2227 0)\n((\u00acE) \u2228 (\u00acB)) \u2227 ((B \u2227 E) \u2227 0)\n(\u00ac(B \u2227 E)) \u2227 ((B \u2227 E) \u2227 0)\nChosen: (\u00ac(E \u2227 B)) \u2227 0", "id": 1720}, {"char_len": 1511, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 595, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 1192, 7, 83193, 37, 8, 12264, 101, 1819, 16, 75078, 435, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 6054, 6774, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 52, 12264, 101, 549, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 11861, 83193, 16, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 15, 75078, 320, 52, 12264, 101, 549, 1192, 1209, 16, 75078, 435, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 1192, 6774, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 1192, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 37, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 52, 12264, 101, 549, 1192, 1163, 8477, 25, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 1192, 7, 83193, 37, 8, 12264, 101, 1819, 16, 75078, 435, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 1192, 6774, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 549, 340, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 52, 75078, 320, 83193, 16, 1192, 1209, 83193, 37, 8, 12264, 101, 320, 16, 75078, 435, 595, 12264, 101, 320, 15, 75078, 549, 340, 1209, 16, 75078, 435, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 6774, 83193, 37, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 37, 8, 12264, 101, 435, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1209, 83193, 37, 8, 12264, 101, 320, 37, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1163, 8477, 25, 1819, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 435, 340, 7, 83193, 37, 8, 12264, 101, 320, 37, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 1192, 6774, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 549, 340, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 320, 52, 75078, 320, 83193, 16, 1192, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 320, 15, 75078, 549, 340, 16, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 7988, 12264, 101, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1163, 8477, 25, 320, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 549, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 37, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 1192, 1209, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 549, 340, 7988, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 52, 75078, 320, 83193, 16, 1192, 7988, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 15, 75078, 549, 340, 16, 12264, 101, 1819, 83193, 16, 8, 75078, 549, 340, 1163, 8477, 25, 320, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 15, 75078, 549, 696, 3883, 512, 7, 15, 75078, 549, 8, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 37, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 15, 75078, 549, 1192, 1209, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 220, 15, 8, 75078, 1819, 37, 12264, 101, 320, 83193, 37, 595, 12264, 101, 549, 340, 7988, 12264, 101, 320, 83193, 37, 595, 12264, 101, 220, 15, 198, 7988, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 52, 75078, 220, 15, 340, 16, 12264, 101, 320, 15, 75078, 549, 340, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 320, 15, 75078, 549, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 15, 75078, 549, 8], "tokenizer": "cl100k_base", "tokens_len": 946, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acF) \u2228 (1 \u2227 F)) \u2228 ((\u00ac1) \u2227 (U \u2228 U))\n\nOptions:\n((\u00ac1) \u2227 (U \u2228 U)) \u2228 ((\u00acF) \u2228 (1 \u2227 F))\n(\u00acF) \u2228 ((1 \u2227 F) \u2228 ((\u00ac1) \u2227 (U \u2228 U)))\n(((\u00acF) \u2228 (1 \u2227 F)) \u2228 (\u00ac1)) \u2227 (((\u00acF) \u2228 (1 \u2227 F)) \u2228 (U \u2228 U))\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 ((U \u2228 U) \u2227 (\u00ac1))\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 (((\u00ac1) \u2227 U) \u2228 ((\u00ac1) \u2227 U))\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 ((\u00ac1) \u2227 U)\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 (0 \u2227 (U \u2228 U))\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((\u00ac1) \u2227 (U \u2228 U))\n(((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 F)) \u2228 ((\u00ac1) \u2227 (U \u2228 U))\n((\u00acF) \u2228 F) \u2228 ((\u00ac1) \u2227 (U \u2228 U))\n((\u00acF) \u2228 (F \u2227 1)) \u2228 ((\u00ac1) \u2227 (U \u2228 U))\nChosen: ((\u00acF) \u2228 (1 \u2227 F)) \u2228 ((\u00ac1) \u2227 U)\n\nOptions:\n((\u00ac1) \u2227 U) \u2228 ((\u00acF) \u2228 (1 \u2227 F))\n(\u00acF) \u2228 ((1 \u2227 F) \u2228 ((\u00ac1) \u2227 U))\n(((\u00acF) \u2228 (1 \u2227 F)) \u2228 (\u00ac1)) \u2227 (((\u00acF) \u2228 (1 \u2227 F)) \u2228 U)\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 (U \u2227 (\u00ac1))\n((\u00acF) \u2228 (1 \u2227 F)) \u2228 (0 \u2227 U)\n((1 \u2227 F) \u2228 (\u00acF)) \u2228 ((\u00ac1) \u2227 U)\n(((\u00acF) \u2228 1) \u2227 ((\u00acF) \u2228 F)) \u2228 ((\u00ac1) \u2227 U)\n((\u00acF) \u2228 F) \u2228 ((\u00ac1) \u2227 U)\n((\u00acF) \u2228 (F \u2227 1)) \u2228 ((\u00ac1) \u2227 U)\nChosen: ((\u00acF) \u2228 F) \u2228 ((\u00ac1) \u2227 U)\n\nOptions:\n((\u00ac1) \u2227 U) \u2228 ((\u00acF) \u2228 F)\n(\u00acF) \u2228 (F \u2228 ((\u00ac1) \u2227 U))\n(((\u00acF) \u2228 F) \u2228 (\u00ac1)) \u2227 (((\u00acF) \u2228 F) \u2228 U)\n((\u00acF) \u2228 F) \u2228 (U \u2227 (\u00ac1))\n((\u00acF) \u2228 F) \u2228 (0 \u2227 U)\n1 \u2228 ((\u00ac1) \u2227 U)\n(F \u2228 (\u00acF)) \u2228 ((\u00ac1) \u2227 U)\nChosen: (F \u2228 (\u00acF)) \u2228 ((\u00ac1) \u2227 U)\n\nOptions:\n((\u00ac1) \u2227 U) \u2228 (F \u2228 (\u00acF))\nF \u2228 ((\u00acF) \u2228 ((\u00ac1) \u2227 U))\n((F \u2228 (\u00acF)) \u2228 (\u00ac1)) \u2227 ((F \u2228 (\u00acF)) \u2228 U)\n(F \u2228 (\u00acF)) \u2228 (U \u2227 (\u00ac1))\n(F \u2228 (\u00acF)) \u2228 (0 \u2227 U)\n1 \u2228 ((\u00ac1) \u2227 U)\nChosen: (F \u2228 (\u00acF)) \u2228 (0 \u2227 U)\n\nOptions:\n(0 \u2227 U) \u2228 (F \u2228 (\u00acF))\nF \u2228 ((\u00acF) \u2228 (0 \u2227 U))\n((F \u2228 (\u00acF)) \u2228 0) \u2227 ((F \u2228 (\u00acF)) \u2228 U)\n(F \u2228 (\u00acF)) \u2228 0\n(F \u2228 (\u00acF)) \u2228 (U \u2227 0)\n1 \u2228 (0 \u2227 U)\n((\u00acF) \u2228 F) \u2228 (0 \u2227 U)\nChosen: 1 \u2228 (0 \u2227 U)", "id": 1721}, {"char_len": 1322, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 1192, 7, 83193, 50, 8, 75078, 1819, 52, 12264, 101, 220, 15, 8, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 320, 50, 75078, 328, 595, 12264, 101, 11861, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 50, 75078, 328, 1192, 1209, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 220, 16, 340, 1209, 83193, 50, 8, 75078, 320, 52, 12264, 101, 220, 15, 595, 75078, 320, 50, 12264, 101, 320, 83193, 15, 1192, 1209, 52, 12264, 101, 220, 15, 8, 75078, 320, 83193, 50, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 50, 8, 75078, 549, 8, 12264, 101, 1819, 83193, 50, 8, 75078, 220, 15, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 75078, 320, 15, 12264, 101, 549, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 549, 340, 7, 83193, 50, 8, 75078, 320, 52, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 50, 8, 75078, 549, 8, 75078, 320, 50, 75078, 328, 595, 12264, 101, 11861, 83193, 50, 8, 75078, 549, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 50, 75078, 328, 1192, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 220, 16, 340, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 320, 50, 12264, 101, 320, 83193, 15, 1192, 12597, 75078, 320, 83193, 50, 595, 75078, 1819, 50, 75078, 328, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 549, 8, 75078, 320, 50, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 3844, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 549, 340, 7, 83193, 50, 8, 75078, 320, 52, 75078, 320, 50, 12264, 101, 320, 83193, 15, 6054, 6774, 83193, 50, 8, 75078, 549, 8, 75078, 328, 8, 12264, 101, 11861, 83193, 50, 8, 75078, 549, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 328, 340, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 320, 50, 12264, 101, 220, 16, 340, 12597, 75078, 320, 83193, 50, 595, 75078, 320, 50, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 549, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 328, 696, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 328, 8, 75078, 1819, 83193, 50, 8, 75078, 549, 340, 7, 83193, 50, 8, 75078, 320, 52, 75078, 1819, 83193, 15, 8, 12264, 101, 328, 1192, 6774, 83193, 50, 8, 75078, 549, 8, 75078, 320, 83193, 15, 595, 12264, 101, 11861, 83193, 50, 8, 75078, 549, 8, 75078, 328, 340, 1209, 83193, 50, 8, 75078, 549, 8, 75078, 320, 16, 12264, 101, 328, 340, 12597, 75078, 320, 83193, 50, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 328, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 328, 8, 75078, 1819, 83193, 50, 8, 75078, 549, 696, 3883, 512, 6774, 83193, 15, 8, 12264, 101, 328, 8, 75078, 320, 83193, 50, 595, 75078, 549, 198, 1209, 83193, 15, 8, 12264, 101, 328, 8, 75078, 320, 52, 75078, 320, 83193, 50, 1192, 3844, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 50, 8, 75078, 549, 340, 7, 16, 12264, 101, 328, 8, 75078, 1819, 83193, 50, 8, 75078, 549, 340, 1163, 8477, 25, 11861, 83193, 15, 8, 12264, 101, 328, 8, 75078, 320, 83193, 50, 595, 75078, 549], "tokenizer": "cl100k_base", "tokens_len": 780, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acS) \u2227 (U \u2228 0)) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\n\nOptions:\n((S \u2227 S) \u2228 (\u00ac0)) \u2227 ((\u00acS) \u2227 (U \u2228 0))\n(\u00acS) \u2227 ((U \u2228 0) \u2227 ((S \u2227 S) \u2228 (\u00ac0)))\n(((\u00acS) \u2227 (U \u2228 0)) \u2227 (S \u2227 S)) \u2228 (((\u00acS) \u2227 (U \u2228 0)) \u2227 (\u00ac0))\n((\u00acS) \u2227 (U \u2228 0)) \u2227 ((\u00ac0) \u2228 (S \u2227 S))\n((\u00acS) \u2227 (U \u2228 0)) \u2227 ((S \u2227 S) \u2228 1)\n((\u00acS) \u2227 (U \u2228 0)) \u2227 (S \u2228 (\u00ac0))\n((U \u2228 0) \u2227 (\u00acS)) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\n(((\u00acS) \u2227 U) \u2228 ((\u00acS) \u2227 0)) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\n((\u00acS) \u2227 U) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\n((\u00acS) \u2227 (0 \u2228 U)) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\nChosen: ((\u00acS) \u2227 U) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\n\nOptions:\n((S \u2227 S) \u2228 (\u00ac0)) \u2227 ((\u00acS) \u2227 U)\n(\u00acS) \u2227 (U \u2227 ((S \u2227 S) \u2228 (\u00ac0)))\n(((\u00acS) \u2227 U) \u2227 (S \u2227 S)) \u2228 (((\u00acS) \u2227 U) \u2227 (\u00ac0))\n((\u00acS) \u2227 U) \u2227 ((\u00ac0) \u2228 (S \u2227 S))\n((\u00acS) \u2227 U) \u2227 ((S \u2227 S) \u2228 1)\n((\u00acS) \u2227 U) \u2227 (S \u2228 (\u00ac0))\n(U \u2227 (\u00acS)) \u2227 ((S \u2227 S) \u2228 (\u00ac0))\nChosen: ((\u00acS) \u2227 U) \u2227 (S \u2228 (\u00ac0))\n\nOptions:\n(S \u2228 (\u00ac0)) \u2227 ((\u00acS) \u2227 U)\n(\u00acS) \u2227 (U \u2227 (S \u2228 (\u00ac0)))\n(((\u00acS) \u2227 U) \u2227 S) \u2228 (((\u00acS) \u2227 U) \u2227 (\u00ac0))\n((\u00acS) \u2227 U) \u2227 ((\u00ac0) \u2228 S)\n((\u00acS) \u2227 U) \u2227 (S \u2228 1)\n(U \u2227 (\u00acS)) \u2227 (S \u2228 (\u00ac0))\nChosen: ((\u00acS) \u2227 U) \u2227 ((\u00ac0) \u2228 S)\n\nOptions:\n((\u00ac0) \u2228 S) \u2227 ((\u00acS) \u2227 U)\n(\u00acS) \u2227 (U \u2227 ((\u00ac0) \u2228 S))\n(((\u00acS) \u2227 U) \u2227 (\u00ac0)) \u2228 (((\u00acS) \u2227 U) \u2227 S)\n((\u00acS) \u2227 U) \u2227 (1 \u2228 S)\n(U \u2227 (\u00acS)) \u2227 ((\u00ac0) \u2228 S)\nChosen: ((\u00ac0) \u2228 S) \u2227 ((\u00acS) \u2227 U)\n\nOptions:\n(((\u00ac0) \u2228 S) \u2227 (\u00acS)) \u2227 U\n((\u00ac0) \u2228 S) \u2227 (U \u2227 (\u00acS))\n(S \u2228 (\u00ac0)) \u2227 ((\u00acS) \u2227 U)\n(1 \u2228 S) \u2227 ((\u00acS) \u2227 U)\nChosen: (((\u00ac0) \u2228 S) \u2227 (\u00acS)) \u2227 U", "id": 1722}, {"char_len": 554, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 42, 12264, 101, 735, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 42, 12264, 101, 735, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 42, 12264, 101, 735, 1192, 83193, 6774, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 42, 12264, 101, 320, 42, 12264, 101, 320, 15, 12264, 101, 220, 15, 6054, 83193, 1209, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 83193, 7, 42, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 6774, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 1209, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 83193, 1209, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 1819, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 320, 42, 12264, 101, 735, 595, 12264, 101, 220, 15, 340, 83193, 1209, 42, 12264, 101, 320, 42, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 340, 83193, 1209, 42, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 1209, 42, 12264, 101, 735, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 42, 12264, 101, 735, 595, 75078, 320, 83193, 15, 340, 83193, 7, 42, 12264, 101, 735, 340, 83193, 7, 15, 12264, 101, 320, 42, 12264, 101, 735, 1192, 83193, 7, 42, 12264, 101, 320, 42, 12264, 101, 220, 15, 1192, 83193, 7, 42, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 42, 12264, 101, 735, 696, 3883, 512, 7, 83193, 42, 8, 75078, 320, 83193, 42, 340, 83193, 42, 198, 1163, 8477, 25, 97265, 42], "tokenizer": "cl100k_base", "tokens_len": 338, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((K \u2228 K) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(K \u2228 K)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (K \u2228 K))\n\u00ac(((K \u2228 K) \u2228 0) \u2228 0)\n\u00ac(K \u2228 (K \u2228 (0 \u2228 0)))\n\u00ac((K \u2228 K) \u2228 0)\n\u00ac(K \u2228 (0 \u2228 0))\nChosen: \u00ac(((K \u2228 K) \u2228 0) \u2228 0)\n\nOptions:\n(\u00ac((K \u2228 K) \u2228 0)) \u2227 (\u00ac0)\n\u00ac((K \u2228 K) \u2228 0)\n\u00ac(0 \u2228 ((K \u2228 K) \u2228 0))\n\u00ac((0 \u2228 (K \u2228 K)) \u2228 0)\n\u00ac((K \u2228 (K \u2228 0)) \u2228 0)\n\u00ac((K \u2228 0) \u2228 0)\nChosen: \u00ac((K \u2228 K) \u2228 0)\n\nOptions:\n(\u00ac(K \u2228 K)) \u2227 (\u00ac0)\n\u00ac(K \u2228 K)\n\u00ac(0 \u2228 (K \u2228 K))\n\u00ac(K \u2228 (K \u2228 0))\n\u00ac(K \u2228 0)\nChosen: \u00ac(K \u2228 K)\n\nOptions:\n(\u00acK) \u2227 (\u00acK)\n\u00acK\nChosen: \u00acK", "id": 1723}, {"char_len": 1700, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 595, 12264, 101, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 11861, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 53, 12264, 101, 650, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 16, 75078, 320, 15, 75078, 320, 53, 12264, 101, 650, 6054, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 11861, 16, 75078, 220, 15, 8, 75078, 650, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 650, 340, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 320, 39, 75078, 650, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 1192, 11135, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 53, 75078, 473, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1163, 8477, 25, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 595, 12264, 101, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 11861, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 53, 12264, 101, 650, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 16, 75078, 320, 53, 12264, 101, 650, 6054, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 650, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 650, 340, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 83193, 53, 8, 75078, 320, 39, 75078, 650, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 1192, 11135, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 53, 75078, 473, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 53, 12264, 101, 650, 1192, 1163, 8477, 25, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 4489, 3883, 512, 7, 15, 75078, 320, 53, 12264, 101, 650, 595, 12264, 101, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 6774, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 8, 75078, 11861, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 53, 12264, 101, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 198, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 53, 12264, 101, 650, 8, 75078, 220, 15, 340, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 1819, 15, 75078, 650, 8, 12264, 101, 320, 15, 75078, 650, 1192, 1209, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 650, 340, 1209, 83193, 53, 8, 75078, 320, 39, 75078, 650, 595, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 1192, 11135, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 1192, 1209, 53, 75078, 473, 8, 75078, 320, 83193, 53, 595, 12264, 101, 320, 15, 75078, 320, 53, 12264, 101, 650, 1192, 1163, 8477, 25, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 271, 3883, 512, 11135, 75078, 650, 8, 75078, 320, 83193, 53, 340, 15, 12264, 101, 1819, 39, 75078, 650, 8, 75078, 320, 83193, 53, 1192, 1209, 83193, 53, 8, 75078, 320, 39, 75078, 650, 595, 12264, 101, 220, 15, 198, 11135, 75078, 320, 53, 75078, 320, 83193, 53, 7861, 12264, 101, 220, 15, 198, 1209, 53, 75078, 473, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 1819, 53, 75078, 473, 8, 75078, 320, 83193, 53, 595, 12264, 101, 220, 15, 271, 3883, 512, 12692, 75078, 473, 8, 75078, 320, 83193, 53, 340, 15, 12264, 101, 1819, 53, 75078, 473, 8, 75078, 320, 83193, 53, 1192, 1209, 83193, 53, 8, 75078, 320, 53, 75078, 473, 595, 12264, 101, 220, 15, 198, 12692, 75078, 320, 39, 75078, 320, 83193, 53, 7861, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 53, 75078, 473, 8, 75078, 320, 83193, 53, 8], "tokenizer": "cl100k_base", "tokens_len": 1009, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((H \u2227 V) \u2227 (\u00acV)) \u2228 ((1 \u2227 0) \u2227 (V \u2228 V))\n\nOptions:\n((1 \u2227 0) \u2227 (V \u2228 V)) \u2228 ((H \u2227 V) \u2227 (\u00acV))\n(((H \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 0)) \u2227 (((H \u2227 V) \u2227 (\u00acV)) \u2228 (V \u2228 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((V \u2228 V) \u2227 (1 \u2227 0))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (1 \u2227 (0 \u2227 (V \u2228 V)))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (((1 \u2227 0) \u2227 V) \u2228 ((1 \u2227 0) \u2227 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((1 \u2227 0) \u2227 V)\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (V \u2228 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 1) \u2227 (V \u2228 V))\n((\u00acV) \u2227 (H \u2227 V)) \u2228 ((1 \u2227 0) \u2227 (V \u2228 V))\n(H \u2227 (V \u2227 (\u00acV))) \u2228 ((1 \u2227 0) \u2227 (V \u2228 V))\n((V \u2227 H) \u2227 (\u00acV)) \u2228 ((1 \u2227 0) \u2227 (V \u2228 V))\nChosen: ((H \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 1) \u2227 (V \u2228 V))\n\nOptions:\n((0 \u2227 1) \u2227 (V \u2228 V)) \u2228 ((H \u2227 V) \u2227 (\u00acV))\n(((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 1)) \u2227 (((H \u2227 V) \u2227 (\u00acV)) \u2228 (V \u2228 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((V \u2228 V) \u2227 (0 \u2227 1))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (1 \u2227 (V \u2228 V)))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (((0 \u2227 1) \u2227 V) \u2228 ((0 \u2227 1) \u2227 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 1) \u2227 V)\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (V \u2228 V))\n((\u00acV) \u2227 (H \u2227 V)) \u2228 ((0 \u2227 1) \u2227 (V \u2228 V))\n(H \u2227 (V \u2227 (\u00acV))) \u2228 ((0 \u2227 1) \u2227 (V \u2228 V))\n((V \u2227 H) \u2227 (\u00acV)) \u2228 ((0 \u2227 1) \u2227 (V \u2228 V))\nChosen: ((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 (V \u2228 V))\n\nOptions:\n(0 \u2227 (V \u2228 V)) \u2228 ((H \u2227 V) \u2227 (\u00acV))\n(((H \u2227 V) \u2227 (\u00acV)) \u2228 0) \u2227 (((H \u2227 V) \u2227 (\u00acV)) \u2228 (V \u2228 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 0\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((V \u2228 V) \u2227 0)\n((H \u2227 V) \u2227 (\u00acV)) \u2228 ((0 \u2227 V) \u2228 (0 \u2227 V))\n((H \u2227 V) \u2227 (\u00acV)) \u2228 (0 \u2227 V)\n((\u00acV) \u2227 (H \u2227 V)) \u2228 (0 \u2227 (V \u2228 V))\n(H \u2227 (V \u2227 (\u00acV))) \u2228 (0 \u2227 (V \u2228 V))\n((V \u2227 H) \u2227 (\u00acV)) \u2228 (0 \u2227 (V \u2228 V))\nChosen: ((H \u2227 V) \u2227 (\u00acV)) \u2228 0\n\nOptions:\n(H \u2227 V) \u2227 (\u00acV)\n0 \u2228 ((H \u2227 V) \u2227 (\u00acV))\n((\u00acV) \u2227 (H \u2227 V)) \u2228 0\n(H \u2227 (V \u2227 (\u00acV))) \u2228 0\n((V \u2227 H) \u2227 (\u00acV)) \u2228 0\nChosen: ((V \u2227 H) \u2227 (\u00acV)) \u2228 0\n\nOptions:\n(V \u2227 H) \u2227 (\u00acV)\n0 \u2228 ((V \u2227 H) \u2227 (\u00acV))\n((\u00acV) \u2227 (V \u2227 H)) \u2228 0\n(V \u2227 (H \u2227 (\u00acV))) \u2228 0\nChosen: (V \u2227 H) \u2227 (\u00acV)", "id": 1724}, {"char_len": 549, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6838, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 7, 83193, 16, 6054, 1209, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1209, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 38, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 6838, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1209, 38, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 7, 16, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1209, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 38, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6838, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 38, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 6838, 12264, 101, 320, 16, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 220, 16, 198, 1209, 38, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1209, 16, 12264, 101, 480, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 359, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((G \u2228 1) \u2228 (\u00ac1)) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 ((G \u2228 1) \u2228 (\u00ac1))\n(G \u2228 1) \u2228 ((\u00ac1) \u2228 (\u00ac(\u00ac1)))\n((G \u2228 1) \u2228 (\u00ac1)) \u2228 1\n((G \u2228 1) \u2228 (\u00ac1)) \u2228 (\u00ac0)\n((\u00ac1) \u2228 (G \u2228 1)) \u2228 (\u00ac(\u00ac1))\n(G \u2228 (1 \u2228 (\u00ac1))) \u2228 (\u00ac(\u00ac1))\n((G \u2228 1) \u2228 0) \u2228 (\u00ac(\u00ac1))\n(1 \u2228 (\u00ac1)) \u2228 (\u00ac(\u00ac1))\n((1 \u2228 G) \u2228 (\u00ac1)) \u2228 (\u00ac(\u00ac1))\nChosen: ((G \u2228 1) \u2228 (\u00ac1)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((G \u2228 1) \u2228 (\u00ac1))\n(G \u2228 1) \u2228 ((\u00ac1) \u2228 1)\n((\u00ac1) \u2228 (G \u2228 1)) \u2228 1\n(G \u2228 (1 \u2228 (\u00ac1))) \u2228 1\n((G \u2228 1) \u2228 0) \u2228 1\n(1 \u2228 (\u00ac1)) \u2228 1\n((1 \u2228 G) \u2228 (\u00ac1)) \u2228 1\nChosen: 1", "id": 1725}, {"char_len": 1250, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 47, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 16, 75078, 735, 4489, 3883, 512, 1209, 15, 75078, 735, 8, 75078, 320, 16, 75078, 735, 595, 75078, 320, 83193, 7, 83193, 47, 1192, 1209, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 735, 595, 75078, 320, 16, 75078, 735, 340, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 16, 75078, 735, 8, 75078, 320, 15, 75078, 735, 1192, 7, 83193, 7, 83193, 47, 595, 75078, 11861, 15, 75078, 735, 8, 75078, 220, 16, 8, 75078, 735, 340, 7, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 320, 42, 75078, 320, 16, 75078, 735, 6054, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 735, 340, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 320, 16, 75078, 735, 1192, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 42, 75078, 220, 15, 8, 75078, 320, 16, 75078, 735, 1192, 47, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 16, 75078, 735, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 47, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 47, 1192, 1209, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 735, 595, 75078, 320, 42, 75078, 220, 16, 340, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 320, 15, 75078, 735, 1192, 7, 83193, 7, 83193, 47, 595, 75078, 11861, 15, 75078, 735, 8, 75078, 735, 8, 75078, 220, 16, 340, 7, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 320, 42, 75078, 320, 42, 75078, 220, 16, 6054, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 15, 75078, 735, 8, 75078, 735, 340, 7, 83193, 7, 83193, 47, 595, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 47, 595, 75078, 1819, 42, 75078, 220, 15, 8, 75078, 320, 42, 75078, 220, 16, 1192, 47, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 393, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 4489, 3883, 512, 1209, 15, 75078, 735, 8, 75078, 320, 42, 75078, 220, 16, 595, 75078, 393, 198, 5417, 75078, 320, 15, 75078, 735, 595, 75078, 320, 42, 75078, 220, 16, 340, 47, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 320, 15, 75078, 735, 1192, 47, 75078, 11861, 15, 75078, 735, 8, 75078, 735, 8, 75078, 220, 16, 340, 47, 75078, 320, 15, 75078, 320, 42, 75078, 320, 42, 75078, 220, 16, 6054, 47, 75078, 1819, 15, 75078, 735, 8, 75078, 735, 340, 47, 75078, 1819, 15, 75078, 735, 8, 75078, 320, 16, 75078, 735, 1192, 47, 75078, 320, 15, 75078, 320, 42, 75078, 220, 16, 1192, 47, 75078, 1819, 42, 75078, 220, 15, 8, 75078, 320, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 393, 75078, 1819, 15, 75078, 735, 8, 75078, 735, 696, 3883, 512, 1209, 15, 75078, 735, 8, 75078, 735, 8, 75078, 393, 198, 5417, 75078, 320, 15, 75078, 735, 595, 75078, 735, 198, 47, 75078, 320, 42, 75078, 320, 15, 75078, 735, 1192, 47, 75078, 320, 15, 75078, 320, 42, 75078, 735, 1192, 47, 75078, 320, 15, 75078, 735, 340, 47, 75078, 1819, 42, 75078, 220, 15, 8, 75078, 735, 340, 1163, 8477, 25, 393, 75078, 320, 42, 75078, 320, 15, 75078, 735, 4489, 3883, 512, 17155, 75078, 320, 15, 75078, 735, 595, 75078, 393, 198, 5417, 75078, 735, 8, 75078, 320, 15, 75078, 735, 340, 47, 75078, 1819, 42, 75078, 220, 15, 8, 75078, 735, 340, 47, 75078, 320, 42, 75078, 220, 15, 340, 47, 75078, 320, 42, 75078, 320, 42, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 47, 75078, 735, 8, 75078, 320, 15, 75078, 735, 8], "tokenizer": "cl100k_base", "tokens_len": 686, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acP)) \u2227 ((0 \u2227 K) \u2227 (1 \u2227 K))\n\nOptions:\n((0 \u2227 K) \u2227 (1 \u2227 K)) \u2227 (\u00ac(\u00acP))\n((\u00ac(\u00acP)) \u2227 (0 \u2227 K)) \u2227 (1 \u2227 K)\n(\u00ac(\u00acP)) \u2227 ((1 \u2227 K) \u2227 (0 \u2227 K))\n(\u00ac(\u00acP)) \u2227 (((0 \u2227 K) \u2227 1) \u2227 K)\n(\u00ac(\u00acP)) \u2227 (0 \u2227 (K \u2227 (1 \u2227 K)))\n(\u00ac(\u00acP)) \u2227 ((0 \u2227 K) \u2227 K)\n(\u00ac(\u00acP)) \u2227 ((0 \u2227 K) \u2227 (K \u2227 1))\n(\u00ac(\u00acP)) \u2227 (0 \u2227 (1 \u2227 K))\n(\u00ac(\u00acP)) \u2227 ((K \u2227 0) \u2227 (1 \u2227 K))\nP \u2227 ((0 \u2227 K) \u2227 (1 \u2227 K))\nChosen: (\u00ac(\u00acP)) \u2227 ((0 \u2227 K) \u2227 (K \u2227 1))\n\nOptions:\n((0 \u2227 K) \u2227 (K \u2227 1)) \u2227 (\u00ac(\u00acP))\n((\u00ac(\u00acP)) \u2227 (0 \u2227 K)) \u2227 (K \u2227 1)\n(\u00ac(\u00acP)) \u2227 ((K \u2227 1) \u2227 (0 \u2227 K))\n(\u00ac(\u00acP)) \u2227 (((0 \u2227 K) \u2227 K) \u2227 1)\n(\u00ac(\u00acP)) \u2227 (0 \u2227 (K \u2227 (K \u2227 1)))\n(\u00ac(\u00acP)) \u2227 ((0 \u2227 K) \u2227 K)\n(\u00ac(\u00acP)) \u2227 (0 \u2227 (K \u2227 1))\n(\u00ac(\u00acP)) \u2227 ((K \u2227 0) \u2227 (K \u2227 1))\nP \u2227 ((0 \u2227 K) \u2227 (K \u2227 1))\nChosen: P \u2227 ((0 \u2227 K) \u2227 (K \u2227 1))\n\nOptions:\n((0 \u2227 K) \u2227 (K \u2227 1)) \u2227 P\n(P \u2227 (0 \u2227 K)) \u2227 (K \u2227 1)\nP \u2227 ((K \u2227 1) \u2227 (0 \u2227 K))\nP \u2227 (((0 \u2227 K) \u2227 K) \u2227 1)\nP \u2227 (0 \u2227 (K \u2227 (K \u2227 1)))\nP \u2227 ((0 \u2227 K) \u2227 K)\nP \u2227 ((0 \u2227 K) \u2227 (1 \u2227 K))\nP \u2227 (0 \u2227 (K \u2227 1))\nP \u2227 ((K \u2227 0) \u2227 (K \u2227 1))\nChosen: P \u2227 ((0 \u2227 K) \u2227 K)\n\nOptions:\n((0 \u2227 K) \u2227 K) \u2227 P\n(P \u2227 (0 \u2227 K)) \u2227 K\nP \u2227 (K \u2227 (0 \u2227 K))\nP \u2227 (0 \u2227 (K \u2227 K))\nP \u2227 (0 \u2227 K)\nP \u2227 ((K \u2227 0) \u2227 K)\nChosen: P \u2227 (K \u2227 (0 \u2227 K))\n\nOptions:\n(K \u2227 (0 \u2227 K)) \u2227 P\n(P \u2227 K) \u2227 (0 \u2227 K)\nP \u2227 ((K \u2227 0) \u2227 K)\nP \u2227 (K \u2227 0)\nP \u2227 (K \u2227 (K \u2227 0))\nChosen: (P \u2227 K) \u2227 (0 \u2227 K)", "id": 1726}, {"char_len": 1415, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 1192, 6774, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 320, 16, 12264, 101, 445, 595, 75078, 320, 83193, 16, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 445, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 220, 15, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 43, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 445, 8, 12264, 101, 320, 43, 75078, 220, 16, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 6774, 43, 75078, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 5063, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 445, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 340, 6774, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 320, 16, 12264, 101, 445, 595, 75078, 320, 83193, 16, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 445, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 220, 15, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 43, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 5063, 12264, 101, 320, 43, 75078, 220, 16, 595, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 5063, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 445, 8, 12264, 101, 445, 8, 75078, 1819, 16, 12264, 101, 445, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 75078, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 340, 6774, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 320, 83193, 16, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 220, 15, 198, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 1209, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 320, 16, 75078, 220, 15, 340, 5063, 12264, 101, 320, 43, 75078, 220, 16, 595, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 5063, 12264, 101, 445, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 445, 8, 12264, 101, 445, 8, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 43, 75078, 220, 16, 8, 12264, 101, 445, 340, 5063, 12264, 101, 320, 43, 75078, 220, 16, 595, 75078, 220, 15, 198, 5063, 12264, 101, 445, 8, 75078, 220, 15, 198, 1209, 16, 75078, 445, 8, 12264, 101, 445, 8, 75078, 220, 15, 198, 1163, 8477, 25, 320, 43, 12264, 101, 320, 43, 75078, 220, 16, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 43, 12264, 101, 320, 43, 75078, 220, 16, 1192, 1209, 43, 12264, 101, 445, 8, 75078, 320, 43, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 5063, 12264, 101, 445, 8, 75078, 220, 15, 198, 5063, 12264, 101, 320, 16, 75078, 445, 595, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 877, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n\nOptions:\n((1 \u2228 L) \u2227 (\u00ac1)) \u2227 ((L \u2227 1) \u2228 (0 \u2228 L))\n(((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 (1 \u2228 L)) \u2227 (\u00ac1)\n((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 ((\u00ac1) \u2227 (1 \u2228 L))\n((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 ((1 \u2228 L) \u2227 0)\n((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 (1 \u2227 (\u00ac1))\n((L \u2227 1) \u2228 (0 \u2228 L)) \u2227 ((L \u2228 1) \u2227 (\u00ac1))\n((0 \u2228 L) \u2228 (L \u2227 1)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n(((L \u2227 1) \u2228 0) \u2228 L) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n((L \u2227 1) \u2228 L) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n((L \u2227 1) \u2228 (L \u2228 0)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n(L \u2228 (0 \u2228 L)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n((1 \u2227 L) \u2228 (0 \u2228 L)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\nChosen: ((L \u2227 1) \u2228 L) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n\nOptions:\n((1 \u2228 L) \u2227 (\u00ac1)) \u2227 ((L \u2227 1) \u2228 L)\n(((L \u2227 1) \u2228 L) \u2227 (1 \u2228 L)) \u2227 (\u00ac1)\n((L \u2227 1) \u2228 L) \u2227 ((\u00ac1) \u2227 (1 \u2228 L))\n((L \u2227 1) \u2228 L) \u2227 ((1 \u2228 L) \u2227 0)\n((L \u2227 1) \u2228 L) \u2227 (1 \u2227 (\u00ac1))\n((L \u2227 1) \u2228 L) \u2227 ((L \u2228 1) \u2227 (\u00ac1))\n(L \u2228 (L \u2227 1)) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n(L \u2228 L) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\n((1 \u2227 L) \u2228 L) \u2227 ((1 \u2228 L) \u2227 (\u00ac1))\nChosen: ((L \u2227 1) \u2228 L) \u2227 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2227 ((L \u2227 1) \u2228 L)\n(((L \u2227 1) \u2228 L) \u2227 1) \u2227 (\u00ac1)\n((L \u2227 1) \u2228 L) \u2227 (\u00ac1)\n((L \u2227 1) \u2228 L) \u2227 0\n((L \u2227 1) \u2228 L) \u2227 ((\u00ac1) \u2227 1)\n((L \u2227 1) \u2228 L) \u2227 (1 \u2227 0)\n(L \u2228 (L \u2227 1)) \u2227 (1 \u2227 (\u00ac1))\n(L \u2228 L) \u2227 (1 \u2227 (\u00ac1))\n((1 \u2227 L) \u2228 L) \u2227 (1 \u2227 (\u00ac1))\nChosen: ((L \u2227 1) \u2228 L) \u2227 0\n\nOptions:\n0\n0 \u2227 ((L \u2227 1) \u2228 L)\n(L \u2228 (L \u2227 1)) \u2227 0\n(L \u2228 L) \u2227 0\n((1 \u2227 L) \u2228 L) \u2227 0\nChosen: (L \u2228 (L \u2227 1)) \u2227 0\n\nOptions:\n0\n0 \u2227 (L \u2228 (L \u2227 1))\n((L \u2228 L) \u2227 (L \u2228 1)) \u2227 0\n(L \u2228 L) \u2227 0\n(L \u2228 (1 \u2227 L)) \u2227 0\nChosen: 0", "id": 1727}, {"char_len": 1157, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 816, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 816, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 56, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 56, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 816, 1192, 7, 83193, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 816, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 816, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 56, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 56, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 56, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 56, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 16, 75078, 320, 83193, 56, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 56, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 56, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 56, 1192, 1163, 8477, 25, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 56, 340, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 75078, 320, 83193, 56, 340, 6774, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 56, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 56, 340, 1209, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 7, 83193, 15, 8, 75078, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 1192, 1209, 83193, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 7861, 75078, 320, 83193, 56, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 56, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 75078, 320, 83193, 56, 340, 7, 16, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 320, 16, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 320, 16, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 16, 75078, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 340, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 75078, 320, 83193, 56, 340, 7, 16, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 7861, 75078, 320, 83193, 56, 340, 7, 16, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 56, 340, 7, 16, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 7861, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 1819, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 220, 16, 8, 75078, 320, 83193, 56, 8], "tokenizer": "cl100k_base", "tokens_len": 724, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 1)) \u2227 (\u00ac(0 \u2228 Y))\n\nOptions:\n(\u00ac(0 \u2228 Y)) \u2227 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2227 ((\u00ac0) \u2227 (\u00acY))\n(\u00ac(0 \u2228 1)) \u2227 (\u00acY)\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac(Y \u2228 0))\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac(0 \u2228 Y))\n(\u00ac1) \u2227 (\u00ac(0 \u2228 Y))\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(0 \u2228 Y))\nChosen: (\u00ac(0 \u2228 1)) \u2227 ((\u00ac0) \u2227 (\u00acY))\n\nOptions:\n((\u00ac0) \u2227 (\u00acY)) \u2227 (\u00ac(0 \u2228 1))\n((\u00ac(0 \u2228 1)) \u2227 (\u00ac0)) \u2227 (\u00acY)\n(\u00ac(0 \u2228 1)) \u2227 ((\u00acY) \u2227 (\u00ac0))\n(\u00ac(0 \u2228 1)) \u2227 (1 \u2227 (\u00acY))\n((\u00ac0) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2227 (\u00acY))\n(\u00ac1) \u2227 ((\u00ac0) \u2227 (\u00acY))\n(\u00ac(1 \u2228 0)) \u2227 ((\u00ac0) \u2227 (\u00acY))\nChosen: ((\u00ac(0 \u2228 1)) \u2227 (\u00ac0)) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 ((\u00ac(0 \u2228 1)) \u2227 (\u00ac0))\n((\u00ac0) \u2227 (\u00ac(0 \u2228 1))) \u2227 (\u00acY)\n((\u00ac(0 \u2228 1)) \u2227 1) \u2227 (\u00acY)\n(((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00ac0)) \u2227 (\u00acY)\n((\u00ac1) \u2227 (\u00ac0)) \u2227 (\u00acY)\n((\u00ac(1 \u2228 0)) \u2227 (\u00ac0)) \u2227 (\u00acY)\nChosen: ((\u00ac0) \u2227 (\u00ac(0 \u2228 1))) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 ((\u00ac0) \u2227 (\u00ac(0 \u2228 1)))\n(\u00ac0) \u2227 ((\u00ac(0 \u2228 1)) \u2227 (\u00acY))\n((\u00ac0) \u2227 ((\u00ac0) \u2227 (\u00ac1))) \u2227 (\u00acY)\n((\u00ac0) \u2227 (\u00ac1)) \u2227 (\u00acY)\n((\u00ac0) \u2227 (\u00ac(1 \u2228 0))) \u2227 (\u00acY)\n(1 \u2227 (\u00ac(0 \u2228 1))) \u2227 (\u00acY)\nChosen: (1 \u2227 (\u00ac(0 \u2228 1))) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 (1 \u2227 (\u00ac(0 \u2228 1)))\n1 \u2227 ((\u00ac(0 \u2228 1)) \u2227 (\u00acY))\n(\u00ac(0 \u2228 1)) \u2227 (\u00acY)\n((\u00ac(0 \u2228 1)) \u2227 1) \u2227 (\u00acY)\n(1 \u2227 ((\u00ac0) \u2227 (\u00ac1))) \u2227 (\u00acY)\n(1 \u2227 (\u00ac1)) \u2227 (\u00acY)\n(1 \u2227 (\u00ac(1 \u2228 0))) \u2227 (\u00acY)\nChosen: ((\u00ac(0 \u2228 1)) \u2227 1) \u2227 (\u00acY)", "id": 1728}, {"char_len": 1232, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 16, 12264, 101, 432, 8, 75078, 320, 49, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 432, 8, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1209, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 12264, 101, 432, 595, 75078, 1819, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 49, 75078, 220, 15, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 49, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 432, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 11861, 16, 12264, 101, 432, 8, 75078, 432, 8, 75078, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 16, 12264, 101, 432, 8, 75078, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 16, 12264, 101, 432, 8, 75078, 320, 15, 75078, 432, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 320, 49, 75078, 220, 15, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 49, 12264, 101, 220, 16, 8, 75078, 320, 49, 75078, 220, 15, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 1819, 16, 12264, 101, 432, 8, 75078, 320, 49, 75078, 220, 15, 1192, 7, 83193, 7, 51, 12264, 101, 432, 595, 12264, 101, 1819, 16, 12264, 101, 432, 8, 75078, 320, 49, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 320, 49, 75078, 220, 15, 4489, 3883, 512, 7, 16, 75078, 320, 49, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1209, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 49, 75078, 220, 15, 1192, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 49, 75078, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 49, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 1819, 16, 75078, 432, 8, 75078, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 320, 15, 75078, 432, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 16, 75078, 320, 49, 75078, 220, 15, 1192, 7, 83193, 7, 51, 12264, 101, 432, 595, 12264, 101, 320, 16, 75078, 320, 49, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 16, 75078, 220, 15, 696, 3883, 512, 7, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 7, 49, 12264, 101, 350, 1192, 1209, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 220, 15, 340, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 49, 12264, 101, 350, 595, 12264, 101, 320, 15, 75078, 220, 16, 340, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 7, 83193, 7, 51, 12264, 101, 432, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 16, 75078, 220, 15, 696, 3883, 512, 7, 16, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 1192, 6774, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 220, 16, 8, 75078, 11861, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 220, 15, 340, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 220, 15, 198, 1209, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 320, 15, 75078, 220, 16, 340, 1209, 83193, 51, 8, 75078, 320, 83193, 49, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 595, 12264, 101, 220, 15, 271, 3883, 512, 7, 83193, 49, 8, 75078, 320, 83193, 51, 340, 15, 12264, 101, 1819, 83193, 49, 8, 75078, 320, 83193, 51, 1192, 1209, 83193, 51, 8, 75078, 320, 83193, 49, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 1819, 83193, 51, 8, 75078, 320, 83193, 49, 595, 12264, 101, 220, 15], "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(R \u2228 T)) \u2228 ((1 \u2228 R) \u2227 (R \u2227 0))\n\nOptions:\n((1 \u2228 R) \u2227 (R \u2227 0)) \u2228 (\u00ac(R \u2228 T))\n((\u00ac(R \u2228 T)) \u2228 (1 \u2228 R)) \u2227 ((\u00ac(R \u2228 T)) \u2228 (R \u2227 0))\n(\u00ac(R \u2228 T)) \u2228 ((R \u2227 0) \u2227 (1 \u2228 R))\n(\u00ac(R \u2228 T)) \u2228 (((1 \u2228 R) \u2227 R) \u2227 0)\n(\u00ac(R \u2228 T)) \u2228 ((1 \u2228 R) \u2227 0)\n(\u00ac(R \u2228 T)) \u2228 ((1 \u2228 R) \u2227 (0 \u2227 R))\n(\u00ac(R \u2228 T)) \u2228 (1 \u2227 (R \u2227 0))\n(\u00ac(R \u2228 T)) \u2228 ((R \u2228 1) \u2227 (R \u2227 0))\n((\u00acR) \u2227 (\u00acT)) \u2228 ((1 \u2228 R) \u2227 (R \u2227 0))\n(\u00ac(T \u2228 R)) \u2228 ((1 \u2228 R) \u2227 (R \u2227 0))\nChosen: (\u00ac(R \u2228 T)) \u2228 (1 \u2227 (R \u2227 0))\n\nOptions:\n(1 \u2227 (R \u2227 0)) \u2228 (\u00ac(R \u2228 T))\n((\u00ac(R \u2228 T)) \u2228 1) \u2227 ((\u00ac(R \u2228 T)) \u2228 (R \u2227 0))\n(\u00ac(R \u2228 T)) \u2228 (R \u2227 0)\n(\u00ac(R \u2228 T)) \u2228 ((R \u2227 0) \u2227 1)\n(\u00ac(R \u2228 T)) \u2228 ((1 \u2227 R) \u2227 0)\n(\u00ac(R \u2228 T)) \u2228 (1 \u2227 0)\n(\u00ac(R \u2228 T)) \u2228 (1 \u2227 (0 \u2227 R))\n((\u00acR) \u2227 (\u00acT)) \u2228 (1 \u2227 (R \u2227 0))\n(\u00ac(T \u2228 R)) \u2228 (1 \u2227 (R \u2227 0))\nChosen: (\u00ac(R \u2228 T)) \u2228 (1 \u2227 0)\n\nOptions:\n(1 \u2227 0) \u2228 (\u00ac(R \u2228 T))\n((\u00ac(R \u2228 T)) \u2228 1) \u2227 ((\u00ac(R \u2228 T)) \u2228 0)\n(\u00ac(R \u2228 T)) \u2228 0\n(\u00ac(R \u2228 T)) \u2228 (0 \u2227 1)\n((\u00acR) \u2227 (\u00acT)) \u2228 (1 \u2227 0)\n(\u00ac(T \u2228 R)) \u2228 (1 \u2227 0)\nChosen: ((\u00acR) \u2227 (\u00acT)) \u2228 (1 \u2227 0)\n\nOptions:\n(1 \u2227 0) \u2228 ((\u00acR) \u2227 (\u00acT))\n(((\u00acR) \u2227 (\u00acT)) \u2228 1) \u2227 (((\u00acR) \u2227 (\u00acT)) \u2228 0)\n((\u00acR) \u2227 (\u00acT)) \u2228 0\n((\u00acR) \u2227 (\u00acT)) \u2228 (0 \u2227 1)\n((\u00acT) \u2227 (\u00acR)) \u2228 (1 \u2227 0)\nChosen: ((\u00acR) \u2227 (\u00acT)) \u2228 0\n\nOptions:\n(\u00acR) \u2227 (\u00acT)\n0 \u2228 ((\u00acR) \u2227 (\u00acT))\n((\u00acT) \u2227 (\u00acR)) \u2228 0\nChosen: ((\u00acT) \u2227 (\u00acR)) \u2228 0", "id": 1729}, {"char_len": 2012, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1630, 4489, 3883, 512, 1209, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1630, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 50, 12264, 101, 220, 15, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 1630, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 50, 12264, 101, 220, 15, 8, 75078, 220, 16, 8, 75078, 1630, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 1630, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 55, 75078, 220, 16, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 1630, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 328, 8, 75078, 320, 16, 75078, 1630, 1192, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1630, 1192, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 50, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 1630, 1192, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 50, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 16, 75078, 1630, 8, 75078, 320, 50, 12264, 101, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 1630, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 50, 12264, 101, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 320, 55, 75078, 320, 50, 12264, 101, 220, 15, 6054, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 16, 75078, 1630, 8, 75078, 328, 8, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 328, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 55, 75078, 220, 16, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 50, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 328, 4489, 3883, 512, 1209, 16, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 328, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 1630, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 12264, 101, 328, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 12264, 101, 328, 8, 75078, 320, 16, 75078, 1630, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 320, 55, 75078, 320, 15, 12264, 101, 328, 6054, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 16, 75078, 1630, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 320, 15, 12264, 101, 328, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 55, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 328, 1192, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 328, 1192, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 696, 3883, 512, 1209, 16, 75078, 1630, 8, 75078, 328, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 1630, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 328, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 50, 75078, 320, 16, 75078, 1630, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 16, 75078, 320, 55, 75078, 328, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 328, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 55, 75078, 220, 16, 8, 75078, 328, 340, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 340, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 16, 75078, 1630, 8, 75078, 328, 340, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 328, 696, 3883, 512, 7799, 75078, 328, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1630, 8, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 328, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 50, 75078, 1630, 340, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 320, 55, 75078, 328, 340, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 328, 340, 1163, 8477, 25, 320, 55, 75078, 320, 83193, 55, 595, 12264, 101, 320, 55, 75078, 328, 8], "tokenizer": "cl100k_base", "tokens_len": 1230, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 X))\n\nOptions:\n((S \u2228 0) \u2227 (1 \u2227 X)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (S \u2228 0)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 X))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (S \u2228 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (((S \u2228 0) \u2227 1) \u2227 X)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((S \u2228 0) \u2227 X)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((S \u2228 0) \u2227 (X \u2227 1))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (S \u2227 (1 \u2227 X))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2228 S) \u2227 (1 \u2227 X))\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 X))\n(X \u2227 (\u00acX)) \u2228 ((S \u2228 0) \u2227 (1 \u2227 X))\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (S \u2228 0))\n\nOptions:\n((1 \u2227 X) \u2227 (S \u2228 0)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 X)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 (S \u2228 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 (X \u2227 (S \u2228 0)))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (((1 \u2227 X) \u2227 S) \u2228 ((1 \u2227 X) \u2227 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 S)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (0 \u2228 S))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (X \u2227 (S \u2228 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((X \u2227 1) \u2227 (S \u2228 0))\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((1 \u2227 X) \u2227 (S \u2228 0))\n(X \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (S \u2228 0))\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (0 \u2228 S))\n\nOptions:\n((1 \u2227 X) \u2227 (0 \u2228 S)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 X)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2228 S))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2228 S) \u2227 (1 \u2227 X))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 (X \u2227 (0 \u2228 S)))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (((1 \u2227 X) \u2227 0) \u2228 ((1 \u2227 X) \u2227 S))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 S)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (X \u2227 (0 \u2228 S))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((X \u2227 1) \u2227 (0 \u2228 S))\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((1 \u2227 X) \u2227 (0 \u2228 S))\n(X \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 (0 \u2228 S))\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 S)\n\nOptions:\n((1 \u2227 X) \u2227 S) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 X)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 S)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (S \u2227 (1 \u2227 X))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (1 \u2227 (X \u2227 S))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (X \u2227 S)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((X \u2227 1) \u2227 S)\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((1 \u2227 X) \u2227 S)\n(X \u2227 (\u00acX)) \u2228 ((1 \u2227 X) \u2227 S)\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 (X \u2227 S)\n\nOptions:\n(X \u2227 S) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 X) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 S)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (S \u2227 X)\n((\u00acX) \u2227 (X \u2228 X)) \u2228 (X \u2227 S)\n(X \u2227 (\u00acX)) \u2228 (X \u2227 S)\nChosen: (X \u2227 (\u00acX)) \u2228 (X \u2227 S)", "id": 1730}, {"char_len": 1199, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 650, 595, 75078, 1819, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 1192, 5417, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 650, 6054, 1209, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 53, 1192, 1209, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 53, 340, 1209, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 53, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 47, 12264, 101, 650, 595, 75078, 320, 83193, 7, 16, 75078, 650, 1192, 1209, 47, 12264, 101, 650, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 650, 1192, 1209, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 650, 1192, 1163, 8477, 25, 1819, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 650, 595, 75078, 1819, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 1192, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 650, 6054, 1209, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 53, 1192, 1209, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 53, 340, 1209, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 53, 75078, 220, 16, 1192, 1209, 83193, 15, 8, 75078, 320, 53, 12264, 101, 393, 595, 75078, 320, 83193, 7, 16, 75078, 650, 1192, 1209, 53, 12264, 101, 393, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 650, 1192, 1163, 8477, 25, 320, 53, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 650, 19789, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 650, 7861, 75078, 320, 53, 12264, 101, 393, 340, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 7, 16, 75078, 650, 595, 75078, 320, 83193, 15, 1192, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 53, 6054, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 53, 1192, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 53, 75078, 220, 16, 6054, 12692, 12264, 101, 393, 8, 75078, 320, 16, 75078, 320, 83193, 7, 16, 75078, 650, 6054, 5417, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 16, 75078, 650, 6054, 1163, 8477, 25, 320, 53, 12264, 101, 393, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 53, 595, 75078, 320, 53, 12264, 101, 393, 340, 1209, 53, 12264, 101, 393, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 53, 340, 12692, 12264, 101, 393, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 83193, 15, 1192, 12692, 12264, 101, 393, 8, 75078, 320, 16, 75078, 320, 83193, 53, 1192, 5417, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 320, 47, 12264, 101, 650, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 83193, 53, 595, 75078, 320, 47, 12264, 101, 650, 340, 1209, 47, 12264, 101, 650, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 53, 340, 5417, 12264, 101, 650, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 83193, 15, 1192, 5417, 12264, 101, 650, 8, 75078, 320, 16, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 320, 47, 12264, 101, 650, 8, 75078, 320, 16, 75078, 320, 83193, 53, 595], "tokenizer": "cl100k_base", "tokens_len": 690, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((P \u2228 V) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 V))\n\nOptions:\n(\u00ac(1 \u2227 V)) \u2227 ((P \u2228 V) \u2227 (\u00ac0))\n(P \u2228 V) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2227 V)))\n((P \u2228 V) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acV))\n((P \u2228 V) \u2227 (\u00ac0)) \u2227 (\u00acV)\n((P \u2228 V) \u2227 (\u00ac0)) \u2227 (\u00ac(V \u2227 1))\n((\u00ac0) \u2227 (P \u2228 V)) \u2227 (\u00ac(1 \u2227 V))\n((P \u2228 V) \u2227 1) \u2227 (\u00ac(1 \u2227 V))\n((V \u2228 P) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 V))\nChosen: ((V \u2228 P) \u2227 (\u00ac0)) \u2227 (\u00ac(1 \u2227 V))\n\nOptions:\n(\u00ac(1 \u2227 V)) \u2227 ((V \u2228 P) \u2227 (\u00ac0))\n(V \u2228 P) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2227 V)))\n((V \u2228 P) \u2227 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acV))\n((V \u2228 P) \u2227 (\u00ac0)) \u2227 (\u00acV)\n((V \u2228 P) \u2227 (\u00ac0)) \u2227 (\u00ac(V \u2227 1))\n((\u00ac0) \u2227 (V \u2228 P)) \u2227 (\u00ac(1 \u2227 V))\n((V \u2228 P) \u2227 1) \u2227 (\u00ac(1 \u2227 V))\nChosen: (V \u2228 P) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2227 V)))\n\nOptions:\n((\u00ac0) \u2227 (\u00ac(1 \u2227 V))) \u2227 (V \u2228 P)\n(V \u2228 P) \u2227 ((\u00ac(1 \u2227 V)) \u2227 (\u00ac0))\n(V \u2228 P) \u2227 ((\u00ac0) \u2227 ((\u00ac1) \u2228 (\u00acV)))\n(V \u2228 P) \u2227 ((\u00ac0) \u2227 (\u00acV))\n(V \u2228 P) \u2227 ((\u00ac0) \u2227 (\u00ac(V \u2227 1)))\n(V \u2228 P) \u2227 (1 \u2227 (\u00ac(1 \u2227 V)))\n(P \u2228 V) \u2227 ((\u00ac0) \u2227 (\u00ac(1 \u2227 V)))\nChosen: (V \u2228 P) \u2227 ((\u00ac0) \u2227 (\u00acV))\n\nOptions:\n((\u00ac0) \u2227 (\u00acV)) \u2227 (V \u2228 P)\n((V \u2228 P) \u2227 (\u00ac0)) \u2227 (\u00acV)\n(V \u2228 P) \u2227 ((\u00acV) \u2227 (\u00ac0))\n(V \u2228 P) \u2227 (1 \u2227 (\u00acV))\n(P \u2228 V) \u2227 ((\u00ac0) \u2227 (\u00acV))\nChosen: (P \u2228 V) \u2227 ((\u00ac0) \u2227 (\u00acV))\n\nOptions:\n((\u00ac0) \u2227 (\u00acV)) \u2227 (P \u2228 V)\n((P \u2228 V) \u2227 (\u00ac0)) \u2227 (\u00acV)\n(P \u2228 V) \u2227 ((\u00acV) \u2227 (\u00ac0))\n(P \u2228 V) \u2227 (1 \u2227 (\u00acV))\nChosen: (P \u2228 V) \u2227 (1 \u2227 (\u00acV))", "id": 1731}, {"char_len": 312, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 16, 340, 83193, 7, 15, 12264, 101, 320, 83193, 16, 1192, 83193, 7, 15, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 15, 340, 83193, 15, 198, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 151, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac1) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 0)\n\u00ac(0 \u2228 (\u00ac1))\nChosen: \u00ac((\u00ac1) \u2228 0)\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac0)\n\u00ac(\u00ac1)\n\u00ac(0 \u2228 (\u00ac1))\n\u00ac(0 \u2228 0)\nChosen: \u00ac(0 \u2228 0)\n\nOptions:\n(\u00ac0) \u2227 (\u00ac0)\n\u00ac0\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1732}, {"char_len": 440, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 83193, 6774, 83193, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 15, 1192, 83193, 1209, 83193, 15, 8, 75078, 220, 15, 340, 83193, 7, 16, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 83193, 15, 1192, 83193, 7, 16, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 16, 198, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 220, 16, 198, 15, 12264, 101, 320, 83193, 15, 340, 7, 83193, 16, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 15, 12264, 101, 220, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 252, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac0) \u2227 (0 \u2228 0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2227 (\u00ac0))\n\u00ac(((\u00ac0) \u2227 0) \u2228 ((\u00ac0) \u2227 0))\n\u00ac((\u00ac0) \u2227 0)\n\u00ac(1 \u2227 (0 \u2228 0))\nChosen: \u00ac((\u00ac0) \u2227 0)\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (\u00ac0))\n\u00ac(1 \u2227 0)\nChosen: (\u00ac(\u00ac0)) \u2228 (\u00ac0)\n\nOptions:\n1\n(\u00ac0) \u2228 (\u00ac(\u00ac0))\n(\u00ac(\u00ac0)) \u2228 1\n0 \u2228 (\u00ac0)\n(\u00ac1) \u2228 (\u00ac0)\nChosen: (\u00ac(\u00ac0)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(\u00ac0))\n0 \u2228 1\n(\u00ac1) \u2228 1\nChosen: 1", "id": 1733}, {"char_len": 714, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 46, 75078, 220, 15, 8, 75078, 320, 46, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 46, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 46, 12264, 101, 220, 16, 1192, 83193, 1209, 46, 12264, 101, 220, 16, 8, 75078, 320, 46, 75078, 220, 15, 1192, 83193, 7, 46, 75078, 320, 15, 75078, 320, 46, 12264, 101, 220, 16, 6054, 83193, 6774, 46, 75078, 220, 15, 8, 75078, 507, 8, 12264, 101, 1819, 46, 75078, 220, 15, 8, 75078, 220, 16, 1192, 83193, 1209, 46, 75078, 220, 15, 8, 75078, 220, 16, 340, 83193, 1209, 46, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 507, 1192, 83193, 7, 15, 75078, 320, 46, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 75078, 507, 8, 75078, 320, 46, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 46, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 46, 12264, 101, 220, 16, 1192, 83193, 15, 198, 83193, 1209, 46, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 83193, 1209, 15, 75078, 507, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 83193, 7, 15, 75078, 220, 16, 340, 83193, 7, 15, 75078, 320, 16, 12264, 101, 507, 1192, 1163, 8477, 25, 97265, 1209, 46, 12264, 101, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 16, 75078, 220, 15, 340, 83193, 1209, 16, 12264, 101, 507, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 46, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 46, 12264, 101, 220, 16, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 83193, 46, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 16, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 7, 46, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 7, 46, 12264, 101, 220, 16, 1192, 1209, 83193, 46, 8, 75078, 320, 83193, 16, 595, 12264, 101, 220, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 7, 83193, 7, 16, 12264, 101, 507, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 447, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((O \u2227 0) \u2227 (O \u2228 1))\n\nOptions:\n(\u00ac(O \u2227 0)) \u2228 (\u00ac(O \u2228 1))\n\u00ac((O \u2228 1) \u2227 (O \u2227 0))\n\u00ac(O \u2227 (0 \u2227 (O \u2228 1)))\n\u00ac(((O \u2227 0) \u2227 O) \u2228 ((O \u2227 0) \u2227 1))\n\u00ac((O \u2227 0) \u2227 1)\n\u00ac((O \u2227 0) \u2227 (1 \u2228 O))\n\u00ac(0 \u2227 (O \u2228 1))\n\u00ac((0 \u2227 O) \u2227 (O \u2228 1))\nChosen: \u00ac(0 \u2227 (O \u2228 1))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(O \u2228 1))\n\u00ac0\n\u00ac((O \u2228 1) \u2227 0)\n\u00ac((0 \u2227 O) \u2228 (0 \u2227 1))\n\u00ac(0 \u2227 1)\n\u00ac(0 \u2227 (1 \u2228 O))\nChosen: \u00ac((O \u2228 1) \u2227 0)\n\nOptions:\n(\u00ac(O \u2228 1)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(1 \u2227 0)\n\u00ac((1 \u2228 O) \u2227 0)\nChosen: (\u00ac(O \u2228 1)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(O \u2228 1))\n(\u00ac(O \u2228 1)) \u2228 1\n((\u00acO) \u2227 (\u00ac1)) \u2228 (\u00ac0)\n(\u00ac1) \u2228 (\u00ac0)\n(\u00ac(1 \u2228 O)) \u2228 (\u00ac0)\nChosen: (\u00ac(O \u2228 1)) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac(O \u2228 1))\n((\u00acO) \u2227 (\u00ac1)) \u2228 1\n(\u00ac1) \u2228 1\n(\u00ac(1 \u2228 O)) \u2228 1\nChosen: 1", "id": 1734}, {"char_len": 1022, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 469, 595, 75078, 320, 83193, 7, 36, 75078, 469, 4489, 3883, 512, 7, 83193, 7, 36, 75078, 469, 595, 75078, 320, 83193, 7, 15, 12264, 101, 469, 1192, 7, 83193, 7, 15, 12264, 101, 469, 595, 75078, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 36, 1192, 7, 83193, 7, 15, 12264, 101, 469, 595, 75078, 320, 83193, 36, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 36, 595, 75078, 320, 83193, 7, 36, 75078, 469, 1192, 7, 83193, 36, 8, 75078, 320, 83193, 7, 36, 75078, 469, 1192, 7, 83193, 7, 36, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 36, 75078, 469, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 595, 75078, 320, 83193, 7, 36, 75078, 469, 4489, 3883, 512, 7, 83193, 7, 36, 75078, 469, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 36, 8, 75078, 320, 83193, 7, 36, 75078, 469, 6054, 1209, 83193, 15, 8, 75078, 320, 83193, 36, 595, 75078, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 36, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 36, 595, 75078, 320, 83193, 36, 340, 1209, 83193, 36, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 36, 75078, 469, 1192, 7, 16, 75078, 320, 83193, 36, 595, 75078, 320, 83193, 7, 36, 75078, 469, 1192, 1163, 8477, 25, 320, 83193, 7, 36, 75078, 469, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 4489, 3883, 512, 1209, 83193, 7, 36, 75078, 469, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 36, 340, 7, 83193, 7, 36, 75078, 469, 595, 75078, 1819, 83193, 36, 8, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 36, 75078, 469, 595, 75078, 320, 16, 75078, 320, 83193, 36, 1192, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 1192, 7, 83193, 36, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 1192, 1163, 8477, 25, 1819, 83193, 7, 36, 75078, 469, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 36, 696, 3883, 512, 7, 83193, 36, 8, 75078, 1819, 83193, 7, 36, 75078, 469, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 7, 36, 75078, 469, 7861, 75078, 320, 83193, 36, 340, 1209, 83193, 7, 36, 75078, 469, 595, 75078, 220, 16, 8, 75078, 320, 83193, 36, 340, 6774, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 36, 340, 1209, 83193, 36, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 36, 340, 1163, 8477, 25, 11861, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 36, 696, 3883, 512, 7, 83193, 36, 8, 75078, 11861, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 15, 1192, 1209, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 36, 1192, 1209, 83193, 15, 8, 75078, 1819, 83193, 36, 8, 12264, 101, 320, 83193, 36, 7861, 75078, 320, 83193, 36, 340, 6774, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 220, 16, 8, 75078, 320, 83193, 36, 340, 1163, 8477, 25, 320, 83193, 36, 8, 75078, 11861, 83193, 36, 8, 12264, 101, 320, 83193, 36, 595, 75078, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 590, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 E)) \u2227 (\u00ac(E \u2227 E))\n\nOptions:\n(\u00ac(E \u2227 E)) \u2227 (\u00ac(0 \u2228 E))\n(\u00ac(0 \u2228 E)) \u2227 ((\u00acE) \u2228 (\u00acE))\n(\u00ac(0 \u2228 E)) \u2227 (\u00acE)\n((\u00ac0) \u2227 (\u00acE)) \u2227 (\u00ac(E \u2227 E))\n(\u00acE) \u2227 (\u00ac(E \u2227 E))\n(\u00ac(E \u2228 0)) \u2227 (\u00ac(E \u2227 E))\nChosen: ((\u00ac0) \u2227 (\u00acE)) \u2227 (\u00ac(E \u2227 E))\n\nOptions:\n(\u00ac(E \u2227 E)) \u2227 ((\u00ac0) \u2227 (\u00acE))\n(\u00ac0) \u2227 ((\u00acE) \u2227 (\u00ac(E \u2227 E)))\n((\u00ac0) \u2227 (\u00acE)) \u2227 ((\u00acE) \u2228 (\u00acE))\n((\u00ac0) \u2227 (\u00acE)) \u2227 (\u00acE)\n((\u00acE) \u2227 (\u00ac0)) \u2227 (\u00ac(E \u2227 E))\n(1 \u2227 (\u00acE)) \u2227 (\u00ac(E \u2227 E))\nChosen: (\u00ac(E \u2227 E)) \u2227 ((\u00ac0) \u2227 (\u00acE))\n\nOptions:\n((\u00ac(E \u2227 E)) \u2227 (\u00ac0)) \u2227 (\u00acE)\n(\u00ac(E \u2227 E)) \u2227 ((\u00acE) \u2227 (\u00ac0))\n(\u00ac(E \u2227 E)) \u2227 (1 \u2227 (\u00acE))\n((\u00acE) \u2228 (\u00acE)) \u2227 ((\u00ac0) \u2227 (\u00acE))\n(\u00acE) \u2227 ((\u00ac0) \u2227 (\u00acE))\nChosen: ((\u00ac(E \u2227 E)) \u2227 (\u00ac0)) \u2227 (\u00acE)\n\nOptions:\n(\u00acE) \u2227 ((\u00ac(E \u2227 E)) \u2227 (\u00ac0))\n((\u00ac0) \u2227 (\u00ac(E \u2227 E))) \u2227 (\u00acE)\n((\u00ac(E \u2227 E)) \u2227 1) \u2227 (\u00acE)\n(((\u00acE) \u2228 (\u00acE)) \u2227 (\u00ac0)) \u2227 (\u00acE)\n((\u00acE) \u2227 (\u00ac0)) \u2227 (\u00acE)\nChosen: (((\u00acE) \u2228 (\u00acE)) \u2227 (\u00ac0)) \u2227 (\u00acE)\n\nOptions:\n(\u00acE) \u2227 (((\u00acE) \u2228 (\u00acE)) \u2227 (\u00ac0))\n((\u00acE) \u2228 (\u00acE)) \u2227 ((\u00ac0) \u2227 (\u00acE))\n((\u00ac0) \u2227 ((\u00acE) \u2228 (\u00acE))) \u2227 (\u00acE)\n(((\u00acE) \u2228 (\u00acE)) \u2227 1) \u2227 (\u00acE)\nChosen: (\u00acE) \u2227 (((\u00acE) \u2228 (\u00acE)) \u2227 (\u00ac0))", "id": 1735}, {"char_len": 330, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 6774, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 15, 8, 12264, 101, 220, 16, 340, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 16, 12264, 101, 220, 16, 340, 1163, 8477, 25, 97265, 16, 271, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 176, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac0) \u2228 (0 \u2228 1))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac(0 \u2228 1))\n\u00ac((0 \u2228 1) \u2228 (\u00ac0))\n\u00ac(((\u00ac0) \u2228 0) \u2228 1)\n\u00ac((\u00ac0) \u2228 1)\n\u00ac((\u00ac0) \u2228 (1 \u2228 0))\n\u00ac(1 \u2228 (0 \u2228 1))\nChosen: \u00ac((\u00ac0) \u2228 1)\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 (\u00ac0))\n\u00ac(1 \u2228 1)\nChosen: \u00ac1\n\nOptions:\n0\nChosen: 0", "id": 1736}, {"char_len": 362, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 48, 8, 75078, 320, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 48, 595, 12264, 101, 320, 83193, 7, 83193, 44, 1192, 83193, 1209, 83193, 44, 8, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 48, 595, 12264, 101, 320, 83193, 7, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 44, 595, 12264, 101, 320, 83193, 7, 83193, 48, 1192, 7, 83193, 7, 83193, 48, 595, 12264, 101, 386, 198, 48, 12264, 101, 320, 83193, 7, 83193, 44, 1192, 1163, 8477, 25, 1229, 12264, 101, 320, 83193, 7, 83193, 44, 4489, 3883, 512, 7, 83193, 7, 83193, 44, 595, 12264, 101, 1229, 198, 48, 12264, 101, 386, 198, 1163, 8477, 25, 320, 83193, 7, 83193, 44, 595, 12264, 101, 1229, 271, 3883, 512, 44, 12264, 101, 1229, 198, 1163, 8477, 25, 386, 12264, 101, 1229, 271, 3883, 512, 48, 12264, 101, 386, 198, 1163, 8477, 25, 1229, 12264, 101, 386], "tokenizer": "cl100k_base", "tokens_len": 177, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00acQ) \u2227 (\u00acM))\n\nOptions:\n(\u00ac(\u00acQ)) \u2228 (\u00ac(\u00acM))\n\u00ac((\u00acM) \u2227 (\u00acQ))\nChosen: (\u00ac(\u00acQ)) \u2228 (\u00ac(\u00acM))\n\nOptions:\n(\u00ac(\u00acM)) \u2228 (\u00ac(\u00acQ))\n(\u00ac(\u00acQ)) \u2228 M\nQ \u2228 (\u00ac(\u00acM))\nChosen: Q \u2228 (\u00ac(\u00acM))\n\nOptions:\n(\u00ac(\u00acM)) \u2228 Q\nQ \u2228 M\nChosen: (\u00ac(\u00acM)) \u2228 Q\n\nOptions:\nM \u2228 Q\nChosen: M \u2228 Q\n\nOptions:\nQ \u2228 M\nChosen: Q \u2228 M", "id": 1737}, {"char_len": 430, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 75078, 220, 15, 340, 83193, 7, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 83193, 16, 1192, 83193, 7, 15, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 7, 15, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 15, 198, 83193, 7, 15, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 220, 16, 198, 7, 83193, 15, 8, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 235, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac1) \u2227 (\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2227 0)\n\u00ac(0 \u2227 (\u00ac1))\nChosen: \u00ac((\u00ac1) \u2227 0)\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (\u00ac1))\n\u00ac(0 \u2227 0)\nChosen: \u00ac(0 \u2227 (\u00ac1))\n\nOptions:\n(\u00ac0) \u2228 (\u00ac(\u00ac1))\n\u00ac0\n\u00ac(0 \u2227 0)\nChosen: (\u00ac0) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac0)\n(\u00ac0) \u2228 1\n(\u00ac0) \u2228 (\u00ac0)\n1 \u2228 (\u00ac(\u00ac1))\nChosen: (\u00ac0) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00ac0)\n1 \u2228 1\nChosen: 1 \u2228 1", "id": 1738}, {"char_len": 485, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 53, 75078, 220, 16, 8, 75078, 320, 83193, 38, 4489, 3883, 512, 7, 83193, 7, 53, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 83193, 1209, 83193, 38, 8, 75078, 320, 53, 75078, 220, 16, 1192, 83193, 7, 53, 75078, 320, 16, 75078, 320, 83193, 38, 6054, 83193, 7, 53, 75078, 320, 83193, 38, 1192, 83193, 1209, 16, 75078, 650, 8, 75078, 320, 83193, 38, 1192, 1163, 8477, 25, 97265, 7, 53, 75078, 320, 16, 75078, 320, 83193, 38, 19789, 3883, 512, 7, 83193, 53, 8, 12264, 101, 320, 83193, 7, 16, 75078, 320, 83193, 38, 6054, 83193, 1209, 16, 75078, 320, 83193, 38, 595, 75078, 650, 340, 83193, 7, 53, 75078, 320, 83193, 38, 1192, 83193, 7, 53, 75078, 1819, 83193, 38, 8, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 53, 75078, 320, 83193, 38, 4489, 3883, 512, 7, 83193, 53, 8, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 83193, 1209, 83193, 38, 8, 75078, 650, 340, 1163, 8477, 25, 320, 83193, 53, 8, 12264, 101, 320, 83193, 7, 83193, 38, 4489, 3883, 512, 7, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 53, 340, 7, 83193, 53, 8, 12264, 101, 480, 198, 1163, 8477, 25, 320, 83193, 53, 8, 12264, 101, 480, 271, 3883, 512, 38, 12264, 101, 320, 83193, 53, 340, 1163, 8477, 25, 480, 12264, 101, 320, 83193, 53, 8], "tokenizer": "cl100k_base", "tokens_len": 252, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((V \u2227 1) \u2227 (\u00acG))\n\nOptions:\n(\u00ac(V \u2227 1)) \u2228 (\u00ac(\u00acG))\n\u00ac((\u00acG) \u2227 (V \u2227 1))\n\u00ac(V \u2227 (1 \u2227 (\u00acG)))\n\u00ac(V \u2227 (\u00acG))\n\u00ac((1 \u2227 V) \u2227 (\u00acG))\nChosen: \u00ac(V \u2227 (1 \u2227 (\u00acG)))\n\nOptions:\n(\u00acV) \u2228 (\u00ac(1 \u2227 (\u00acG)))\n\u00ac((1 \u2227 (\u00acG)) \u2227 V)\n\u00ac(V \u2227 (\u00acG))\n\u00ac(V \u2227 ((\u00acG) \u2227 1))\nChosen: \u00ac(V \u2227 (\u00acG))\n\nOptions:\n(\u00acV) \u2228 (\u00ac(\u00acG))\n\u00ac((\u00acG) \u2227 V)\nChosen: (\u00acV) \u2228 (\u00ac(\u00acG))\n\nOptions:\n(\u00ac(\u00acG)) \u2228 (\u00acV)\n(\u00acV) \u2228 G\nChosen: (\u00acV) \u2228 G\n\nOptions:\nG \u2228 (\u00acV)\nChosen: G \u2228 (\u00acV)", "id": 1739}, {"char_len": 509, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 16, 8, 12264, 101, 320, 57, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 83193, 7, 57, 75078, 220, 16, 1192, 83193, 1209, 57, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 83193, 6774, 83193, 16, 8, 12264, 101, 1901, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 1901, 340, 83193, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 1901, 1192, 83193, 7, 15, 12264, 101, 320, 57, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 57, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 57, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 57, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 57, 12264, 101, 320, 83193, 16, 1192, 83193, 1209, 16, 75078, 1901, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 7, 57, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 57, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 12264, 101, 1901, 340, 83193, 7, 57, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 57, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 57, 8, 75078, 320, 83193, 15, 340, 83193, 57, 198, 83193, 7, 15, 12264, 101, 1901, 340, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 1901, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 57, 340, 83193, 57, 198, 1163, 8477, 25, 97265, 57], "tokenizer": "cl100k_base", "tokens_len": 281, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac1) \u2228 (Z \u2227 1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (\u00ac(Z \u2227 1))\n\u00ac((Z \u2227 1) \u2228 (\u00ac1))\n\u00ac(((\u00ac1) \u2228 Z) \u2227 ((\u00ac1) \u2228 1))\n\u00ac((\u00ac1) \u2228 Z)\n\u00ac((\u00ac1) \u2228 (1 \u2227 Z))\n\u00ac(0 \u2228 (Z \u2227 1))\nChosen: \u00ac((Z \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n(\u00ac(Z \u2227 1)) \u2227 (\u00ac(\u00ac1))\n\u00ac((Z \u2227 1) \u2228 0)\n\u00ac(Z \u2228 (\u00ac1))\n\u00ac((1 \u2227 Z) \u2228 (\u00ac1))\nChosen: \u00ac(Z \u2228 (\u00ac1))\n\nOptions:\n(\u00acZ) \u2227 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2228 Z)\n\u00ac(Z \u2228 0)\nChosen: \u00ac(Z \u2228 0)\n\nOptions:\n(\u00acZ) \u2227 (\u00ac0)\n\u00acZ\n\u00ac(0 \u2228 Z)\nChosen: \u00ac(0 \u2228 Z)\n\nOptions:\n(\u00ac0) \u2227 (\u00acZ)\n\u00acZ\nChosen: \u00acZ", "id": 1740}, {"char_len": 842, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 43, 12264, 101, 426, 8, 12264, 101, 320, 43, 12264, 101, 426, 4489, 3883, 512, 7, 83193, 7, 43, 12264, 101, 426, 595, 75078, 320, 83193, 7, 43, 12264, 101, 426, 1192, 83193, 6774, 43, 12264, 101, 426, 8, 12264, 101, 445, 8, 12264, 101, 426, 340, 83193, 7, 43, 12264, 101, 320, 33, 12264, 101, 320, 43, 12264, 101, 426, 6054, 83193, 1209, 43, 12264, 101, 426, 8, 12264, 101, 320, 33, 12264, 101, 445, 1192, 83193, 1209, 33, 12264, 101, 445, 8, 12264, 101, 320, 43, 12264, 101, 426, 1192, 1163, 8477, 25, 97265, 1209, 43, 12264, 101, 426, 8, 12264, 101, 320, 33, 12264, 101, 445, 4489, 3883, 512, 7, 83193, 7, 43, 12264, 101, 426, 595, 75078, 320, 83193, 7, 33, 12264, 101, 445, 1192, 83193, 1209, 33, 12264, 101, 445, 8, 12264, 101, 320, 43, 12264, 101, 426, 1192, 83193, 6774, 43, 12264, 101, 426, 8, 12264, 101, 426, 8, 12264, 101, 445, 340, 83193, 7, 43, 12264, 101, 320, 33, 12264, 101, 320, 33, 12264, 101, 445, 6054, 83193, 1209, 33, 12264, 101, 445, 8, 12264, 101, 320, 33, 12264, 101, 445, 1192, 1163, 8477, 25, 97265, 7, 43, 12264, 101, 320, 33, 12264, 101, 320, 33, 12264, 101, 445, 19789, 3883, 512, 7, 83193, 43, 8, 75078, 320, 83193, 7, 33, 12264, 101, 320, 33, 12264, 101, 445, 6054, 83193, 1209, 33, 12264, 101, 320, 33, 12264, 101, 445, 595, 12264, 101, 445, 340, 83193, 7, 43, 12264, 101, 1819, 33, 12264, 101, 445, 8, 12264, 101, 426, 1192, 83193, 7, 43, 12264, 101, 1819, 33, 12264, 101, 426, 8, 12264, 101, 445, 1192, 83193, 7, 43, 12264, 101, 320, 33, 12264, 101, 320, 43, 12264, 101, 426, 6054, 1163, 8477, 25, 97265, 1209, 33, 12264, 101, 320, 33, 12264, 101, 445, 595, 12264, 101, 445, 696, 3883, 512, 7, 83193, 7, 33, 12264, 101, 320, 33, 12264, 101, 445, 7861, 75078, 320, 83193, 43, 340, 83193, 7, 33, 12264, 101, 1819, 33, 12264, 101, 445, 8, 12264, 101, 445, 1192, 83193, 6774, 33, 12264, 101, 445, 8, 12264, 101, 426, 8, 12264, 101, 445, 340, 83193, 6774, 33, 12264, 101, 426, 8, 12264, 101, 445, 8, 12264, 101, 445, 340, 83193, 1209, 33, 12264, 101, 320, 43, 12264, 101, 426, 595, 12264, 101, 445, 340, 1163, 8477, 25, 97265, 6774, 33, 12264, 101, 426, 8, 12264, 101, 445, 8, 12264, 101, 445, 696, 3883, 512, 7, 83193, 1209, 33, 12264, 101, 426, 8, 12264, 101, 445, 595, 75078, 320, 83193, 43, 340, 83193, 7, 43, 12264, 101, 1819, 33, 12264, 101, 426, 8, 12264, 101, 445, 1192, 83193, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 43, 12264, 101, 445, 1192, 83193, 1209, 43, 12264, 101, 320, 33, 12264, 101, 426, 595, 12264, 101, 445, 340, 83193, 1209, 33, 12264, 101, 445, 8, 12264, 101, 445, 340, 1163, 8477, 25, 97265, 1209, 33, 12264, 101, 445, 8, 12264, 101, 445, 8], "tokenizer": "cl100k_base", "tokens_len": 510, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((L \u2228 B) \u2228 (L \u2228 B))\n\nOptions:\n(\u00ac(L \u2228 B)) \u2227 (\u00ac(L \u2228 B))\n\u00ac(((L \u2228 B) \u2228 L) \u2228 B)\n\u00ac(L \u2228 (B \u2228 (L \u2228 B)))\n\u00ac((L \u2228 B) \u2228 (B \u2228 L))\n\u00ac((B \u2228 L) \u2228 (L \u2228 B))\nChosen: \u00ac((L \u2228 B) \u2228 (B \u2228 L))\n\nOptions:\n(\u00ac(L \u2228 B)) \u2227 (\u00ac(B \u2228 L))\n\u00ac((B \u2228 L) \u2228 (L \u2228 B))\n\u00ac(((L \u2228 B) \u2228 B) \u2228 L)\n\u00ac(L \u2228 (B \u2228 (B \u2228 L)))\n\u00ac((B \u2228 L) \u2228 (B \u2228 L))\nChosen: \u00ac(L \u2228 (B \u2228 (B \u2228 L)))\n\nOptions:\n(\u00acL) \u2227 (\u00ac(B \u2228 (B \u2228 L)))\n\u00ac((B \u2228 (B \u2228 L)) \u2228 L)\n\u00ac(L \u2228 ((B \u2228 L) \u2228 B))\n\u00ac(L \u2228 ((B \u2228 B) \u2228 L))\n\u00ac(L \u2228 (B \u2228 (L \u2228 B)))\nChosen: \u00ac((B \u2228 (B \u2228 L)) \u2228 L)\n\nOptions:\n(\u00ac(B \u2228 (B \u2228 L))) \u2227 (\u00acL)\n\u00ac(B \u2228 ((B \u2228 L) \u2228 L))\n\u00ac(((B \u2228 L) \u2228 B) \u2228 L)\n\u00ac(((B \u2228 B) \u2228 L) \u2228 L)\n\u00ac((B \u2228 (L \u2228 B)) \u2228 L)\nChosen: \u00ac(((B \u2228 B) \u2228 L) \u2228 L)\n\nOptions:\n(\u00ac((B \u2228 B) \u2228 L)) \u2227 (\u00acL)\n\u00ac(L \u2228 ((B \u2228 B) \u2228 L))\n\u00ac((B \u2228 B) \u2228 (L \u2228 L))\n\u00ac((L \u2228 (B \u2228 B)) \u2228 L)\n\u00ac((B \u2228 L) \u2228 L)\nChosen: \u00ac((B \u2228 L) \u2228 L)", "id": 1741}, {"char_len": 971, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 83193, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 6054, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 15, 6054, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 83193, 6774, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 83193, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 19789, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 1192, 83193, 7, 15, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 1192, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 220, 15, 340, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 83193, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 7, 15, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 674, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((0 \u2228 1) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (0 \u2228 1))\n\u00ac(((0 \u2228 1) \u2228 0) \u2228 0)\n\u00ac(0 \u2228 (1 \u2228 (0 \u2228 0)))\n\u00ac((0 \u2228 1) \u2228 0)\n\u00ac(1 \u2228 (0 \u2228 0))\n\u00ac((1 \u2228 0) \u2228 (0 \u2228 0))\nChosen: \u00ac((1 \u2228 0) \u2228 (0 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2228 (1 \u2228 0))\n\u00ac(((1 \u2228 0) \u2228 0) \u2228 0)\n\u00ac(1 \u2228 (0 \u2228 (0 \u2228 0)))\n\u00ac((1 \u2228 0) \u2228 0)\n\u00ac(1 \u2228 (0 \u2228 0))\nChosen: \u00ac((0 \u2228 0) \u2228 (1 \u2228 0))\n\nOptions:\n(\u00ac(0 \u2228 0)) \u2227 (\u00ac(1 \u2228 0))\n\u00ac(((0 \u2228 0) \u2228 1) \u2228 0)\n\u00ac(0 \u2228 (0 \u2228 (1 \u2228 0)))\n\u00ac((0 \u2228 0) \u2228 1)\n\u00ac((0 \u2228 0) \u2228 (0 \u2228 1))\n\u00ac(0 \u2228 (1 \u2228 0))\nChosen: \u00ac(0 \u2228 (0 \u2228 (1 \u2228 0)))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(0 \u2228 (1 \u2228 0)))\n\u00ac(0 \u2228 (1 \u2228 0))\n\u00ac((0 \u2228 (1 \u2228 0)) \u2228 0)\n\u00ac(0 \u2228 ((1 \u2228 0) \u2228 0))\n\u00ac(0 \u2228 ((0 \u2228 1) \u2228 0))\n\u00ac(0 \u2228 (0 \u2228 1))\n\u00ac(0 \u2228 (0 \u2228 (0 \u2228 1)))\nChosen: \u00ac(0 \u2228 ((0 \u2228 1) \u2228 0))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac((0 \u2228 1) \u2228 0))\n\u00ac((0 \u2228 1) \u2228 0)\n\u00ac(((0 \u2228 1) \u2228 0) \u2228 0)\n\u00ac((0 \u2228 (0 \u2228 1)) \u2228 0)\n\u00ac(0 \u2228 (0 \u2228 1))\n\u00ac(0 \u2228 (0 \u2228 (0 \u2228 1)))\n\u00ac(0 \u2228 (1 \u2228 0))\n\u00ac(0 \u2228 ((1 \u2228 0) \u2228 0))\nChosen: \u00ac(0 \u2228 (1 \u2228 0))", "id": 1742}, {"char_len": 1122, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 83193, 52, 595, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 1192, 6774, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 52, 340, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 1819, 83193, 52, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 320, 15, 75078, 320, 83193, 52, 1192, 1209, 52, 12264, 101, 473, 8, 12264, 101, 320, 83193, 52, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 6774, 83193, 52, 8, 12264, 101, 549, 8, 12264, 101, 473, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 83193, 52, 595, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 1192, 6774, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 52, 340, 1209, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 1819, 83193, 52, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 320, 15, 75078, 320, 83193, 52, 1192, 1209, 39, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 6774, 83193, 52, 8, 12264, 101, 473, 8, 12264, 101, 549, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 52, 1192, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 320, 15, 75078, 320, 83193, 52, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 52, 595, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 1192, 6774, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 220, 15, 8, 75078, 320, 83193, 52, 340, 1209, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 220, 15, 198, 1209, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 1819, 83193, 52, 8, 75078, 220, 15, 340, 1209, 39, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 320, 15, 75078, 320, 83193, 52, 1192, 6774, 83193, 52, 8, 12264, 101, 473, 8, 12264, 101, 549, 8, 75078, 320, 15, 75078, 320, 83193, 52, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 320, 15, 75078, 320, 83193, 52, 1192, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 39, 12264, 101, 549, 1192, 1209, 39, 12264, 101, 549, 8, 12264, 101, 320, 83193, 52, 595, 75078, 220, 15, 198, 6774, 83193, 52, 8, 12264, 101, 473, 8, 12264, 101, 549, 8, 75078, 220, 15, 198, 1209, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 220, 15, 198, 1163, 8477, 25, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 1192, 1209, 52, 12264, 101, 473, 8, 12264, 101, 320, 83193, 52, 595, 75078, 220, 15, 198, 6774, 83193, 52, 8, 12264, 101, 549, 8, 12264, 101, 473, 8, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15, 75078, 1819, 83193, 52, 8, 12264, 101, 320, 52, 12264, 101, 473, 595], "tokenizer": "cl100k_base", "tokens_len": 686, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acU) \u2228 (U \u2228 H)) \u2227 ((\u00ac1) \u2227 (\u00acU))\n\nOptions:\n((\u00ac1) \u2227 (\u00acU)) \u2227 ((\u00acU) \u2228 (U \u2228 H))\n(((\u00acU) \u2228 (U \u2228 H)) \u2227 (\u00ac1)) \u2227 (\u00acU)\n((\u00acU) \u2228 (U \u2228 H)) \u2227 ((\u00acU) \u2227 (\u00ac1))\n((\u00acU) \u2228 (U \u2228 H)) \u2227 (0 \u2227 (\u00acU))\n((U \u2228 H) \u2228 (\u00acU)) \u2227 ((\u00ac1) \u2227 (\u00acU))\n(((\u00acU) \u2228 U) \u2228 H) \u2227 ((\u00ac1) \u2227 (\u00acU))\n((\u00acU) \u2228 (H \u2228 U)) \u2227 ((\u00ac1) \u2227 (\u00acU))\nChosen: ((\u00acU) \u2228 (H \u2228 U)) \u2227 ((\u00ac1) \u2227 (\u00acU))\n\nOptions:\n((\u00ac1) \u2227 (\u00acU)) \u2227 ((\u00acU) \u2228 (H \u2228 U))\n(((\u00acU) \u2228 (H \u2228 U)) \u2227 (\u00ac1)) \u2227 (\u00acU)\n((\u00acU) \u2228 (H \u2228 U)) \u2227 ((\u00acU) \u2227 (\u00ac1))\n((\u00acU) \u2228 (H \u2228 U)) \u2227 (0 \u2227 (\u00acU))\n((H \u2228 U) \u2228 (\u00acU)) \u2227 ((\u00ac1) \u2227 (\u00acU))\n(((\u00acU) \u2228 H) \u2228 U) \u2227 ((\u00ac1) \u2227 (\u00acU))\nChosen: ((\u00acU) \u2228 (H \u2228 U)) \u2227 (0 \u2227 (\u00acU))\n\nOptions:\n(0 \u2227 (\u00acU)) \u2227 ((\u00acU) \u2228 (H \u2228 U))\n(((\u00acU) \u2228 (H \u2228 U)) \u2227 0) \u2227 (\u00acU)\n((\u00acU) \u2228 (H \u2228 U)) \u2227 0\n((\u00acU) \u2228 (H \u2228 U)) \u2227 ((\u00acU) \u2227 0)\n((H \u2228 U) \u2228 (\u00acU)) \u2227 (0 \u2227 (\u00acU))\n(((\u00acU) \u2228 H) \u2228 U) \u2227 (0 \u2227 (\u00acU))\n((\u00acU) \u2228 (U \u2228 H)) \u2227 (0 \u2227 (\u00acU))\nChosen: ((\u00acU) \u2228 (H \u2228 U)) \u2227 0\n\nOptions:\n0\n0 \u2227 ((\u00acU) \u2228 (H \u2228 U))\n((H \u2228 U) \u2228 (\u00acU)) \u2227 0\n(((\u00acU) \u2228 H) \u2228 U) \u2227 0\n((\u00acU) \u2228 (U \u2228 H)) \u2227 0\nChosen: ((\u00acU) \u2228 (U \u2228 H)) \u2227 0\n\nOptions:\n0\n0 \u2227 ((\u00acU) \u2228 (U \u2228 H))\n((U \u2228 H) \u2228 (\u00acU)) \u2227 0\n(((\u00acU) \u2228 U) \u2228 H) \u2227 0\nChosen: 0 \u2227 ((\u00acU) \u2228 (U \u2228 H))", "id": 1743}, {"char_len": 1478, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 4489, 3883, 512, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 1192, 6774, 15, 75078, 473, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 83193, 36, 340, 1209, 15, 75078, 473, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 36, 12264, 101, 469, 1192, 1209, 15, 75078, 473, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 36, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 6054, 1209, 15, 75078, 473, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 1192, 1209, 83193, 16, 8, 75078, 320, 15, 75078, 473, 595, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 7, 15, 75078, 320, 39, 75078, 320, 83193, 16, 7861, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 1209, 15, 75078, 473, 8, 75078, 220, 15, 8, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 7, 15, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 1209, 39, 75078, 220, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 1163, 8477, 25, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 10953, 12264, 101, 469, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 6054, 6774, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 473, 595, 75078, 11861, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 15, 75078, 473, 1192, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 320, 39, 75078, 320, 83193, 16, 6054, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 220, 15, 340, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 320, 83193, 16, 1192, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 39, 75078, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 36, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 1192, 10953, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 7861, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 1192, 10953, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 15, 75078, 473, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 10953, 12264, 101, 469, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 320, 15, 75078, 320, 83193, 16, 6054, 6774, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 220, 15, 8, 75078, 11861, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 220, 15, 198, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 220, 15, 340, 1209, 83193, 36, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 320, 15, 75078, 320, 83193, 16, 1192, 10953, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 7861, 12264, 101, 320, 15, 75078, 320, 83193, 16, 1192, 10953, 12264, 101, 320, 83193, 36, 595, 12264, 101, 320, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 595, 12264, 101, 220, 15, 271, 3883, 512, 10953, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 340, 15, 12264, 101, 1819, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 1192, 10953, 12264, 101, 469, 8, 12264, 101, 1819, 83193, 36, 8, 12264, 101, 220, 15, 340, 1209, 83193, 36, 8, 12264, 101, 320, 36, 12264, 101, 469, 595, 12264, 101, 220, 15, 198, 10953, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 7861, 12264, 101, 220, 15, 198, 10953, 12264, 101, 320, 83193, 36, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 36, 12264, 101, 469, 8, 12264, 101, 320, 83193, 36, 696, 3883, 512, 7, 83193, 36, 8, 12264, 101, 320, 36, 12264, 101, 469, 340, 36, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 1192, 36, 12264, 101, 320, 83193, 36, 340, 1163, 8477, 25, 469, 12264, 101, 320, 36, 12264, 101, 320, 83193, 36, 595], "tokenizer": "cl100k_base", "tokens_len": 939, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 H) \u2227 (\u00ac1)) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n\nOptions:\n((E \u2228 E) \u2228 (\u00acE)) \u2228 ((0 \u2227 H) \u2227 (\u00ac1))\n(((0 \u2227 H) \u2227 (\u00ac1)) \u2228 (E \u2228 E)) \u2228 (\u00acE)\n((0 \u2227 H) \u2227 (\u00ac1)) \u2228 ((\u00acE) \u2228 (E \u2228 E))\n((0 \u2227 H) \u2227 (\u00ac1)) \u2228 (E \u2228 (E \u2228 (\u00acE)))\n((0 \u2227 H) \u2227 (\u00ac1)) \u2228 (E \u2228 (\u00acE))\n((\u00ac1) \u2227 (0 \u2227 H)) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n(0 \u2227 (H \u2227 (\u00ac1))) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n((0 \u2227 H) \u2227 0) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n(0 \u2227 (\u00ac1)) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n((H \u2227 0) \u2227 (\u00ac1)) \u2228 ((E \u2228 E) \u2228 (\u00acE))\nChosen: ((E \u2228 E) \u2228 (\u00acE)) \u2228 ((0 \u2227 H) \u2227 (\u00ac1))\n\nOptions:\n(E \u2228 E) \u2228 ((\u00acE) \u2228 ((0 \u2227 H) \u2227 (\u00ac1)))\n(((E \u2228 E) \u2228 (\u00acE)) \u2228 (0 \u2227 H)) \u2227 (((E \u2228 E) \u2228 (\u00acE)) \u2228 (\u00ac1))\n((E \u2228 E) \u2228 (\u00acE)) \u2228 ((\u00ac1) \u2227 (0 \u2227 H))\n((E \u2228 E) \u2228 (\u00acE)) \u2228 (0 \u2227 (H \u2227 (\u00ac1)))\n((E \u2228 E) \u2228 (\u00acE)) \u2228 ((0 \u2227 H) \u2227 0)\n((E \u2228 E) \u2228 (\u00acE)) \u2228 (0 \u2227 (\u00ac1))\n((E \u2228 E) \u2228 (\u00acE)) \u2228 ((H \u2227 0) \u2227 (\u00ac1))\n((\u00acE) \u2228 (E \u2228 E)) \u2228 ((0 \u2227 H) \u2227 (\u00ac1))\n(E \u2228 (E \u2228 (\u00acE))) \u2228 ((0 \u2227 H) \u2227 (\u00ac1))\n(E \u2228 (\u00acE)) \u2228 ((0 \u2227 H) \u2227 (\u00ac1))\nChosen: ((E \u2228 E) \u2228 (\u00acE)) \u2228 (0 \u2227 (\u00ac1))\n\nOptions:\n(0 \u2227 (\u00ac1)) \u2228 ((E \u2228 E) \u2228 (\u00acE))\n(E \u2228 E) \u2228 ((\u00acE) \u2228 (0 \u2227 (\u00ac1)))\n(((E \u2228 E) \u2228 (\u00acE)) \u2228 0) \u2227 (((E \u2228 E) \u2228 (\u00acE)) \u2228 (\u00ac1))\n((E \u2228 E) \u2228 (\u00acE)) \u2228 0\n((E \u2228 E) \u2228 (\u00acE)) \u2228 ((\u00ac1) \u2227 0)\n((E \u2228 E) \u2228 (\u00acE)) \u2228 (0 \u2227 0)\n((\u00acE) \u2228 (E \u2228 E)) \u2228 (0 \u2227 (\u00ac1))\n(E \u2228 (E \u2228 (\u00acE))) \u2228 (0 \u2227 (\u00ac1))\n(E \u2228 (\u00acE)) \u2228 (0 \u2227 (\u00ac1))\nChosen: ((E \u2228 E) \u2228 (\u00acE)) \u2228 0\n\nOptions:\n(E \u2228 E) \u2228 (\u00acE)\n0 \u2228 ((E \u2228 E) \u2228 (\u00acE))\n(E \u2228 E) \u2228 ((\u00acE) \u2228 0)\n((\u00acE) \u2228 (E \u2228 E)) \u2228 0\n(E \u2228 (E \u2228 (\u00acE))) \u2228 0\n(E \u2228 (\u00acE)) \u2228 0\nChosen: (E \u2228 E) \u2228 (\u00acE)\n\nOptions:\n(\u00acE) \u2228 (E \u2228 E)\nE \u2228 (E \u2228 (\u00acE))\nE \u2228 (\u00acE)\nChosen: E \u2228 (E \u2228 (\u00acE))", "id": 1744}, {"char_len": 1772, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 7, 47, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 735, 595, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 393, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 7, 42, 75078, 393, 1192, 1209, 15, 75078, 393, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 393, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1209, 15, 75078, 220, 15, 8, 12264, 101, 320, 47, 75078, 220, 15, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 7, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 7, 47, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 735, 595, 75078, 320, 15, 12264, 101, 320, 15, 75078, 393, 1192, 7, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 7, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 7, 42, 75078, 393, 1192, 7, 15, 75078, 393, 8, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1209, 15, 75078, 393, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 7, 15, 12264, 101, 320, 47, 75078, 220, 15, 595, 75078, 320, 83193, 7, 47, 75078, 735, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 47, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 15, 12264, 101, 320, 15, 75078, 393, 1192, 1209, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 320, 83193, 42, 1192, 7, 15, 12264, 101, 320, 15, 75078, 393, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 7, 15, 75078, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 15, 75078, 393, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 7, 15, 12264, 101, 320, 47, 75078, 220, 15, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 4489, 3883, 512, 1209, 83193, 47, 8, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 6054, 6774, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 47, 595, 12264, 101, 11861, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 42, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 1209, 15, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 47, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 7, 15, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 42, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 4489, 3883, 512, 1209, 83193, 42, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 1192, 7, 15, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 393, 8, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 6054, 6774, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 42, 595, 12264, 101, 11861, 15, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 393, 595, 75078, 320, 83193, 47, 1192, 1209, 15, 12264, 101, 393, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 6774, 15, 12264, 101, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 15, 8, 75078, 393, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 393, 8, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 47, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 7, 15, 75078, 320, 15, 12264, 101, 393, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 75078, 393, 8, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 47, 595], "tokenizer": "cl100k_base", "tokens_len": 1115, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (0 \u2227 P)) \u2227 (\u00ac(P \u2227 K))\n\nOptions:\n(\u00ac(P \u2227 K)) \u2227 ((0 \u2227 0) \u2228 (0 \u2227 P))\n((0 \u2227 0) \u2228 (0 \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n((0 \u2227 0) \u2228 (0 \u2227 P)) \u2227 (\u00ac(K \u2227 P))\n((0 \u2227 P) \u2228 (0 \u2227 0)) \u2227 (\u00ac(P \u2227 K))\n(((0 \u2227 0) \u2228 0) \u2227 ((0 \u2227 0) \u2228 P)) \u2227 (\u00ac(P \u2227 K))\n((0 \u2227 0) \u2228 0) \u2227 (\u00ac(P \u2227 K))\n((0 \u2227 0) \u2228 (P \u2227 0)) \u2227 (\u00ac(P \u2227 K))\n(0 \u2228 (0 \u2227 P)) \u2227 (\u00ac(P \u2227 K))\nChosen: (0 \u2228 (0 \u2227 P)) \u2227 (\u00ac(P \u2227 K))\n\nOptions:\n(\u00ac(P \u2227 K)) \u2227 (0 \u2228 (0 \u2227 P))\n(0 \u2228 (0 \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n(0 \u2228 (0 \u2227 P)) \u2227 (\u00ac(K \u2227 P))\n(0 \u2227 P) \u2227 (\u00ac(P \u2227 K))\n((0 \u2227 P) \u2228 0) \u2227 (\u00ac(P \u2227 K))\n((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 (\u00ac(P \u2227 K))\n(0 \u2228 0) \u2227 (\u00ac(P \u2227 K))\n(0 \u2228 (P \u2227 0)) \u2227 (\u00ac(P \u2227 K))\nChosen: (0 \u2228 (0 \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n\nOptions:\n((\u00acP) \u2228 (\u00acK)) \u2227 (0 \u2228 (0 \u2227 P))\n((0 \u2228 (0 \u2227 P)) \u2227 (\u00acP)) \u2228 ((0 \u2228 (0 \u2227 P)) \u2227 (\u00acK))\n(0 \u2228 (0 \u2227 P)) \u2227 ((\u00acK) \u2228 (\u00acP))\n(0 \u2227 P) \u2227 ((\u00acP) \u2228 (\u00acK))\n((0 \u2227 P) \u2228 0) \u2227 ((\u00acP) \u2228 (\u00acK))\n((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n(0 \u2228 0) \u2227 ((\u00acP) \u2228 (\u00acK))\n(0 \u2228 (P \u2227 0)) \u2227 ((\u00acP) \u2228 (\u00acK))\nChosen: ((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n\nOptions:\n((\u00acP) \u2228 (\u00acK)) \u2227 ((0 \u2228 0) \u2227 (0 \u2228 P))\n(0 \u2228 0) \u2227 ((0 \u2228 P) \u2227 ((\u00acP) \u2228 (\u00acK)))\n(((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 (\u00acP)) \u2228 (((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 (\u00acK))\n((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 ((\u00acK) \u2228 (\u00acP))\n((0 \u2228 P) \u2227 (0 \u2228 0)) \u2227 ((\u00acP) \u2228 (\u00acK))\n(((0 \u2228 0) \u2227 0) \u2228 ((0 \u2228 0) \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\n((0 \u2228 0) \u2227 P) \u2227 ((\u00acP) \u2228 (\u00acK))\n((0 \u2228 0) \u2227 (P \u2228 0)) \u2227 ((\u00acP) \u2228 (\u00acK))\n(0 \u2227 (0 \u2228 P)) \u2227 ((\u00acP) \u2228 (\u00acK))\nChosen: ((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 ((\u00acK) \u2228 (\u00acP))\n\nOptions:\n((\u00acK) \u2228 (\u00acP)) \u2227 ((0 \u2228 0) \u2227 (0 \u2228 P))\n(0 \u2228 0) \u2227 ((0 \u2228 P) \u2227 ((\u00acK) \u2228 (\u00acP)))\n(((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 (\u00acK)) \u2228 (((0 \u2228 0) \u2227 (0 \u2228 P)) \u2227 (\u00acP))\n((0 \u2228 P) \u2227 (0 \u2228 0)) \u2227 ((\u00acK) \u2228 (\u00acP))\n(((0 \u2228 0) \u2227 0) \u2228 ((0 \u2228 0) \u2227 P)) \u2227 ((\u00acK) \u2228 (\u00acP))\n((0 \u2228 0) \u2227 P) \u2227 ((\u00acK) \u2228 (\u00acP))\n((0 \u2228 0) \u2227 (P \u2228 0)) \u2227 ((\u00acK) \u2228 (\u00acP))\n(0 \u2227 (0 \u2228 P)) \u2227 ((\u00acK) \u2228 (\u00acP))\nChosen: ((0 \u2228 0) \u2227 P) \u2227 ((\u00acK) \u2228 (\u00acP))", "id": 1745}, {"char_len": 1445, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 4489, 3883, 512, 7, 83193, 7, 55, 75078, 1630, 595, 75078, 1819, 55, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7799, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 6054, 1209, 55, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 83193, 55, 1192, 1209, 55, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 55, 340, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 55, 75078, 220, 15, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 6774, 55, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 75078, 220, 15, 8, 75078, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1209, 55, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1209, 55, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1209, 15, 75078, 1630, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 7, 55, 75078, 1630, 4489, 3883, 512, 7, 83193, 7, 55, 75078, 1630, 595, 75078, 320, 55, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 6054, 55, 75078, 1819, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 6054, 7799, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 83193, 55, 1192, 7799, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 16, 7861, 75078, 320, 83193, 55, 340, 1209, 15, 75078, 320, 15, 12264, 101, 220, 16, 595, 75078, 1630, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 220, 15, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 7861, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 320, 15, 75078, 320, 16, 12264, 101, 220, 15, 7861, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 4489, 3883, 512, 7, 83193, 7, 55, 75078, 1630, 595, 75078, 320, 55, 75078, 320, 15, 75078, 220, 16, 1192, 55, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 6054, 7799, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 55, 8, 12264, 101, 320, 83193, 55, 1192, 7799, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 55, 340, 1209, 15, 75078, 220, 16, 8, 75078, 1630, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1209, 55, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 220, 15, 8, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 7799, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 55, 75078, 1630, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 55, 696, 3883, 512, 7, 83193, 55, 8, 75078, 320, 55, 75078, 320, 15, 75078, 220, 16, 1192, 55, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 1630, 8, 75078, 320, 83193, 55, 340, 1209, 55, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 320, 83193, 55, 340, 7799, 75078, 220, 15, 8, 75078, 320, 83193, 55, 340, 7799, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 55, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 75078, 1630, 8, 75078, 320, 83193, 55, 696, 3883, 512, 7, 83193, 55, 8, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 1630, 340, 7, 15, 75078, 220, 16, 8, 75078, 320, 55, 75078, 320, 83193, 55, 1192, 7, 15, 75078, 320, 16, 75078, 1630, 595, 75078, 320, 83193, 55, 340, 7, 15, 75078, 1630, 8, 75078, 320, 83193, 55, 340, 1209, 16, 75078, 220, 15, 8, 75078, 1630, 8, 75078, 320, 83193, 55, 340, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 75078, 320, 55, 75078, 320, 83193, 55, 595], "tokenizer": "cl100k_base", "tokens_len": 852, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2227 0) \u2227 (0 \u2228 1)) \u2227 (\u00ac(X \u2227 X))\n\nOptions:\n(\u00ac(X \u2227 X)) \u2227 ((X \u2227 0) \u2227 (0 \u2228 1))\n(X \u2227 0) \u2227 ((0 \u2228 1) \u2227 (\u00ac(X \u2227 X)))\n((X \u2227 0) \u2227 (0 \u2228 1)) \u2227 ((\u00acX) \u2228 (\u00acX))\n((X \u2227 0) \u2227 (0 \u2228 1)) \u2227 (\u00acX)\n((0 \u2228 1) \u2227 (X \u2227 0)) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 (0 \u2227 (0 \u2228 1))) \u2227 (\u00ac(X \u2227 X))\n(((X \u2227 0) \u2227 0) \u2228 ((X \u2227 0) \u2227 1)) \u2227 (\u00ac(X \u2227 X))\n((X \u2227 0) \u2227 1) \u2227 (\u00ac(X \u2227 X))\n((X \u2227 0) \u2227 (1 \u2228 0)) \u2227 (\u00ac(X \u2227 X))\n(0 \u2227 (0 \u2228 1)) \u2227 (\u00ac(X \u2227 X))\n((0 \u2227 X) \u2227 (0 \u2228 1)) \u2227 (\u00ac(X \u2227 X))\nChosen: (X \u2227 (0 \u2227 (0 \u2228 1))) \u2227 (\u00ac(X \u2227 X))\n\nOptions:\n(\u00ac(X \u2227 X)) \u2227 (X \u2227 (0 \u2227 (0 \u2228 1)))\nX \u2227 ((0 \u2227 (0 \u2228 1)) \u2227 (\u00ac(X \u2227 X)))\n(X \u2227 (0 \u2227 (0 \u2228 1))) \u2227 ((\u00acX) \u2228 (\u00acX))\n(X \u2227 (0 \u2227 (0 \u2228 1))) \u2227 (\u00acX)\n((0 \u2227 (0 \u2228 1)) \u2227 X) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 0) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 ((0 \u2228 1) \u2227 0)) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 ((0 \u2227 0) \u2228 (0 \u2227 1))) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 (0 \u2227 1)) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 (0 \u2227 (1 \u2228 0))) \u2227 (\u00ac(X \u2227 X))\nChosen: (X \u2227 (0 \u2227 1)) \u2227 (\u00ac(X \u2227 X))\n\nOptions:\n(\u00ac(X \u2227 X)) \u2227 (X \u2227 (0 \u2227 1))\nX \u2227 ((0 \u2227 1) \u2227 (\u00ac(X \u2227 X)))\n(X \u2227 (0 \u2227 1)) \u2227 ((\u00acX) \u2228 (\u00acX))\n(X \u2227 (0 \u2227 1)) \u2227 (\u00acX)\n((0 \u2227 1) \u2227 X) \u2227 (\u00ac(X \u2227 X))\n((X \u2227 0) \u2227 1) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 0) \u2227 (\u00ac(X \u2227 X))\n(X \u2227 (1 \u2227 0)) \u2227 (\u00ac(X \u2227 X))\nChosen: (X \u2227 (0 \u2227 1)) \u2227 (\u00acX)\n\nOptions:\n(\u00acX) \u2227 (X \u2227 (0 \u2227 1))\nX \u2227 ((0 \u2227 1) \u2227 (\u00acX))\n((0 \u2227 1) \u2227 X) \u2227 (\u00acX)\n((X \u2227 0) \u2227 1) \u2227 (\u00acX)\n(X \u2227 0) \u2227 (\u00acX)\n(X \u2227 (1 \u2227 0)) \u2227 (\u00acX)\nChosen: ((0 \u2227 1) \u2227 X) \u2227 (\u00acX)\n\nOptions:\n(\u00acX) \u2227 ((0 \u2227 1) \u2227 X)\n(0 \u2227 1) \u2227 (X \u2227 (\u00acX))\n(0 \u2227 (1 \u2227 X)) \u2227 (\u00acX)\n(0 \u2227 X) \u2227 (\u00acX)\n((1 \u2227 0) \u2227 X) \u2227 (\u00acX)\nChosen: (0 \u2227 1) \u2227 (X \u2227 (\u00acX))", "id": 1746}, {"char_len": 1634, "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, 507, 595, 75078, 1819, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 16, 12264, 101, 1229, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 1229, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 220, 15, 198, 1209, 16, 12264, 101, 1229, 8, 75078, 320, 83193, 7, 16, 12264, 101, 507, 7861, 75078, 320, 83193, 16, 340, 6774, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1229, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 12264, 101, 507, 7861, 75078, 320, 83193, 16, 340, 6774, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1229, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 220, 16, 8, 75078, 320, 83193, 16, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 220, 15, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 1819, 48, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 507, 1192, 1209, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 83193, 16, 595, 75078, 320, 48, 12264, 101, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 11861, 83193, 16, 8, 75078, 1229, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 1229, 1192, 7, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 15, 75078, 320, 48, 12264, 101, 220, 16, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 46, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 1192, 7, 83193, 7, 46, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 48, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 16, 12264, 101, 507, 595, 75078, 320, 15, 75078, 320, 48, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 1039, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2228 O)) \u2227 ((1 \u2228 Q) \u2227 (\u00ac1))\n\nOptions:\n((1 \u2228 Q) \u2227 (\u00ac1)) \u2227 (\u00ac(1 \u2228 O))\n((\u00ac(1 \u2228 O)) \u2227 (1 \u2228 Q)) \u2227 (\u00ac1)\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac1) \u2227 (1 \u2228 Q))\n(\u00ac(1 \u2228 O)) \u2227 ((1 \u2228 Q) \u2227 0)\n(\u00ac(1 \u2228 O)) \u2227 (1 \u2227 (\u00ac1))\n(\u00ac(1 \u2228 O)) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\n((\u00ac1) \u2227 (\u00acO)) \u2227 ((1 \u2228 Q) \u2227 (\u00ac1))\n(\u00ac1) \u2227 ((1 \u2228 Q) \u2227 (\u00ac1))\n(\u00ac(O \u2228 1)) \u2227 ((1 \u2228 Q) \u2227 (\u00ac1))\nChosen: ((\u00ac(1 \u2228 O)) \u2227 (1 \u2228 Q)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac(1 \u2228 O)) \u2227 (1 \u2228 Q))\n((\u00ac(1 \u2228 O)) \u2227 (1 \u2228 Q)) \u2227 0\n((1 \u2228 Q) \u2227 (\u00ac(1 \u2228 O))) \u2227 (\u00ac1)\n(((\u00ac(1 \u2228 O)) \u2227 1) \u2228 ((\u00ac(1 \u2228 O)) \u2227 Q)) \u2227 (\u00ac1)\n((\u00ac(1 \u2228 O)) \u2227 1) \u2227 (\u00ac1)\n((\u00ac(1 \u2228 O)) \u2227 (Q \u2228 1)) \u2227 (\u00ac1)\n(((\u00ac1) \u2227 (\u00acO)) \u2227 (1 \u2228 Q)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (1 \u2228 Q)) \u2227 (\u00ac1)\n((\u00ac(O \u2228 1)) \u2227 (1 \u2228 Q)) \u2227 (\u00ac1)\nChosen: ((\u00ac(1 \u2228 O)) \u2227 (Q \u2228 1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((\u00ac(1 \u2228 O)) \u2227 (Q \u2228 1))\n(\u00ac(1 \u2228 O)) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\n((\u00ac(1 \u2228 O)) \u2227 (Q \u2228 1)) \u2227 0\n((Q \u2228 1) \u2227 (\u00ac(1 \u2228 O))) \u2227 (\u00ac1)\n(((\u00ac(1 \u2228 O)) \u2227 Q) \u2228 ((\u00ac(1 \u2228 O)) \u2227 1)) \u2227 (\u00ac1)\n((\u00ac(1 \u2228 O)) \u2227 1) \u2227 (\u00ac1)\n(((\u00ac1) \u2227 (\u00acO)) \u2227 (Q \u2228 1)) \u2227 (\u00ac1)\n((\u00ac1) \u2227 (Q \u2228 1)) \u2227 (\u00ac1)\n((\u00ac(O \u2228 1)) \u2227 (Q \u2228 1)) \u2227 (\u00ac1)\nChosen: (\u00ac(1 \u2228 O)) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\n\nOptions:\n((Q \u2228 1) \u2227 (\u00ac1)) \u2227 (\u00ac(1 \u2228 O))\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac1) \u2227 (Q \u2228 1))\n(\u00ac(1 \u2228 O)) \u2227 ((Q \u2228 1) \u2227 0)\n(\u00ac(1 \u2228 O)) \u2227 (1 \u2227 (\u00ac1))\n((\u00ac1) \u2227 (\u00acO)) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\n(\u00ac1) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\n(\u00ac(O \u2228 1)) \u2227 ((Q \u2228 1) \u2227 (\u00ac1))\nChosen: (\u00ac(1 \u2228 O)) \u2227 ((\u00ac1) \u2227 (Q \u2228 1))\n\nOptions:\n((\u00ac1) \u2227 (Q \u2228 1)) \u2227 (\u00ac(1 \u2228 O))\n((\u00ac(1 \u2228 O)) \u2227 (\u00ac1)) \u2227 (Q \u2228 1)\n(\u00ac(1 \u2228 O)) \u2227 (((\u00ac1) \u2227 Q) \u2228 ((\u00ac1) \u2227 1))\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac1) \u2227 1)\n(\u00ac(1 \u2228 O)) \u2227 ((\u00ac1) \u2227 (1 \u2228 Q))\n(\u00ac(1 \u2228 O)) \u2227 (0 \u2227 (Q \u2228 1))\n((\u00ac1) \u2227 (\u00acO)) \u2227 ((\u00ac1) \u2227 (Q \u2228 1))\n(\u00ac1) \u2227 ((\u00ac1) \u2227 (Q \u2228 1))\n(\u00ac(O \u2228 1)) \u2227 ((\u00ac1) \u2227 (Q \u2228 1))\nChosen: (\u00ac(1 \u2228 O)) \u2227 (0 \u2227 (Q \u2228 1))", "id": 1747}, {"char_len": 2060, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 4489, 3883, 512, 1209, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 1192, 6774, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 16, 75078, 328, 595, 75078, 320, 15, 12264, 101, 1901, 340, 28955, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 6054, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 320, 16, 75078, 328, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 16, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 6054, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 16, 75078, 328, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 328, 8, 75078, 1901, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 1901, 340, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 57, 12264, 101, 220, 15, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 50, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 16, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 16, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 4489, 3883, 512, 3844, 75078, 320, 15, 12264, 101, 1901, 595, 75078, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 1192, 6774, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 328, 8, 75078, 320, 15, 12264, 101, 1901, 340, 28955, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 6054, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 15, 12264, 101, 1901, 8, 75078, 328, 340, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 50, 75078, 220, 15, 8, 12264, 101, 320, 50, 75078, 1901, 1192, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 1901, 340, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 320, 57, 12264, 101, 220, 16, 595, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 16, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 1192, 1209, 16, 12264, 101, 1901, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 1192, 1163, 8477, 25, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 4489, 3883, 512, 3844, 75078, 320, 57, 12264, 101, 220, 15, 595, 75078, 1819, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 1192, 6774, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 328, 8, 75078, 320, 57, 12264, 101, 220, 15, 340, 28955, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 6054, 1209, 57, 12264, 101, 220, 16, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 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16, 8, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 4489, 3883, 512, 3844, 75078, 320, 57, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 57, 8, 75078, 220, 16, 340, 6774, 83193, 57, 8, 75078, 220, 16, 8, 75078, 328, 8, 75078, 320, 57, 12264, 101, 220, 15, 340, 7, 83193, 57, 8, 75078, 320, 16, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 6054, 1209, 83193, 57, 8, 75078, 220, 16, 8, 75078, 1819, 57, 12264, 101, 220, 15, 8, 75078, 328, 340, 1209, 83193, 57, 8, 75078, 220, 16, 8, 75078, 1819, 50, 75078, 1901, 8, 12264, 101, 320, 50, 75078, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 220, 16, 8, 75078, 320, 50, 75078, 1901, 340, 1209, 83193, 57, 8, 75078, 220, 16, 8, 75078, 320, 50, 75078, 320, 15, 12264, 101, 1901, 1192, 7, 83193, 57, 8, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 83193, 57, 595, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 57, 8, 75078, 320, 50, 75078, 320, 57, 12264, 101, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1287, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((1 \u2227 S) \u2227 (0 \u2228 Z))\n\nOptions:\n((1 \u2227 S) \u2227 (0 \u2228 Z)) \u2227 ((Z \u2228 1) \u2227 (\u00acZ))\n(((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (1 \u2227 S)) \u2227 (0 \u2228 Z)\n(Z \u2228 1) \u2227 ((\u00acZ) \u2227 ((1 \u2227 S) \u2227 (0 \u2228 Z)))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((0 \u2228 Z) \u2227 (1 \u2227 S))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (1 \u2227 (S \u2227 (0 \u2228 Z)))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (((1 \u2227 S) \u2227 0) \u2228 ((1 \u2227 S) \u2227 Z))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((1 \u2227 S) \u2227 Z)\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((1 \u2227 S) \u2227 (Z \u2228 0))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 (0 \u2228 Z))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((S \u2227 1) \u2227 (0 \u2228 Z))\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 ((1 \u2227 S) \u2227 (0 \u2228 Z))\n(1 \u2227 (\u00acZ)) \u2227 ((1 \u2227 S) \u2227 (0 \u2228 Z))\n((1 \u2228 Z) \u2227 (\u00acZ)) \u2227 ((1 \u2227 S) \u2227 (0 \u2228 Z))\nChosen: ((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 (0 \u2228 Z))\n\nOptions:\n(S \u2227 (0 \u2228 Z)) \u2227 ((Z \u2228 1) \u2227 (\u00acZ))\n(((Z \u2228 1) \u2227 (\u00acZ)) \u2227 S) \u2227 (0 \u2228 Z)\n(Z \u2228 1) \u2227 ((\u00acZ) \u2227 (S \u2227 (0 \u2228 Z)))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((0 \u2228 Z) \u2227 S)\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((S \u2227 0) \u2228 (S \u2227 Z))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 Z)\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 (Z \u2228 0))\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 (S \u2227 (0 \u2228 Z))\n(1 \u2227 (\u00acZ)) \u2227 (S \u2227 (0 \u2228 Z))\n((1 \u2228 Z) \u2227 (\u00acZ)) \u2227 (S \u2227 (0 \u2228 Z))\nChosen: ((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 (Z \u2228 0))\n\nOptions:\n(S \u2227 (Z \u2228 0)) \u2227 ((Z \u2228 1) \u2227 (\u00acZ))\n(((Z \u2228 1) \u2227 (\u00acZ)) \u2227 S) \u2227 (Z \u2228 0)\n(Z \u2228 1) \u2227 ((\u00acZ) \u2227 (S \u2227 (Z \u2228 0)))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((Z \u2228 0) \u2227 S)\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 ((S \u2227 Z) \u2228 (S \u2227 0))\n((Z \u2228 1) \u2227 (\u00acZ)) \u2227 (S \u2227 Z)\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 (S \u2227 (Z \u2228 0))\n(1 \u2227 (\u00acZ)) \u2227 (S \u2227 (Z \u2228 0))\n((1 \u2228 Z) \u2227 (\u00acZ)) \u2227 (S \u2227 (Z \u2228 0))\nChosen: ((\u00acZ) \u2227 (Z \u2228 1)) \u2227 (S \u2227 (Z \u2228 0))\n\nOptions:\n(S \u2227 (Z \u2228 0)) \u2227 ((\u00acZ) \u2227 (Z \u2228 1))\n(((\u00acZ) \u2227 (Z \u2228 1)) \u2227 S) \u2227 (Z \u2228 0)\n(\u00acZ) \u2227 ((Z \u2228 1) \u2227 (S \u2227 (Z \u2228 0)))\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 ((Z \u2228 0) \u2227 S)\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 ((S \u2227 Z) \u2228 (S \u2227 0))\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 (S \u2227 Z)\n((\u00acZ) \u2227 (Z \u2228 1)) \u2227 (S \u2227 (0 \u2228 Z))\n(((\u00acZ) \u2227 Z) \u2228 ((\u00acZ) \u2227 1)) \u2227 (S \u2227 (Z \u2228 0))\n((\u00acZ) \u2227 1) \u2227 (S \u2227 (Z \u2228 0))\n((\u00acZ) \u2227 (1 \u2228 Z)) \u2227 (S \u2227 (Z \u2228 0))\nChosen: ((\u00acZ) \u2227 1) \u2227 (S \u2227 (Z \u2228 0))\n\nOptions:\n(S \u2227 (Z \u2228 0)) \u2227 ((\u00acZ) \u2227 1)\n(((\u00acZ) \u2227 1) \u2227 S) \u2227 (Z \u2228 0)\n(\u00acZ) \u2227 (1 \u2227 (S \u2227 (Z \u2228 0)))\n((\u00acZ) \u2227 1) \u2227 ((Z \u2228 0) \u2227 S)\n((\u00acZ) \u2227 1) \u2227 ((S \u2227 Z) \u2228 (S \u2227 0))\n((\u00acZ) \u2227 1) \u2227 (S \u2227 Z)\n((\u00acZ) \u2227 1) \u2227 (S \u2227 (0 \u2228 Z))\n(\u00acZ) \u2227 (S \u2227 (Z \u2228 0))\n(1 \u2227 (\u00acZ)) \u2227 (S \u2227 (Z \u2228 0))\nChosen: (\u00acZ) \u2227 (S \u2227 (Z \u2228 0))", "id": 1748}, {"char_len": 464, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 480, 4489, 3883, 512, 16, 12264, 101, 480, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 1192, 83193, 7, 83193, 16, 340, 83193, 7, 83193, 7, 38, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 83193, 38, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 83193, 1209, 83193, 38, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 15, 75078, 320, 83193, 38, 1192, 1163, 8477, 25, 97265, 1209, 83193, 38, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 38, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 7, 83193, 7, 83193, 38, 595, 12264, 101, 220, 16, 198, 7, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 15, 340, 38, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 480, 12264, 101, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 480, 198, 38, 12264, 101, 220, 16, 198, 38, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 480, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 254, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(1 \u2228 G))\n\nOptions:\n1 \u2228 G\n\u00ac((\u00ac1) \u2227 (\u00acG))\n\u00ac(\u00ac1)\n\u00ac(\u00ac(G \u2228 1))\nChosen: \u00ac((\u00ac1) \u2227 (\u00acG))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acG))\n\u00ac((\u00acG) \u2227 (\u00ac1))\n\u00ac(0 \u2227 (\u00acG))\nChosen: \u00ac((\u00acG) \u2227 (\u00ac1))\n\nOptions:\n(\u00ac(\u00acG)) \u2228 (\u00ac(\u00ac1))\n\u00ac((\u00acG) \u2227 0)\nChosen: (\u00ac(\u00acG)) \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00acG))\n(\u00ac(\u00acG)) \u2228 1\n(\u00ac(\u00acG)) \u2228 (\u00ac0)\nG \u2228 (\u00ac(\u00ac1))\nChosen: G \u2228 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 G\nG \u2228 1\nG \u2228 (\u00ac0)\nChosen: G \u2228 1", "id": 1749}, {"char_len": 2858, "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, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 1192, 6774, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 469, 595, 75078, 320, 51, 75078, 220, 15, 340, 7, 15, 75078, 220, 16, 8, 75078, 1819, 51, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 51, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 469, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 11861, 15, 12264, 101, 469, 8, 75078, 350, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 15, 75078, 350, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 36, 75078, 320, 51, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 320, 51, 75078, 220, 15, 1192, 1209, 51, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 1192, 7, 15, 75078, 320, 16, 75078, 320, 51, 12264, 101, 220, 15, 7861, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 1192, 6774, 15, 75078, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 320, 51, 75078, 220, 15, 1192, 1209, 15, 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220, 15, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 469, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 36, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 51, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 16, 75078, 320, 51, 12264, 101, 220, 15, 7861, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 6774, 15, 75078, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 469, 595, 75078, 220, 15, 198, 7, 16, 75078, 220, 15, 8, 75078, 1819, 51, 12264, 101, 220, 15, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 469, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 320, 36, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 51, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 16, 75078, 320, 15, 75078, 320, 51, 12264, 101, 220, 15, 7861, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 6774, 16, 75078, 220, 15, 8, 75078, 350, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 51, 12264, 101, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 469, 595, 75078, 220, 15, 198, 7, 16, 75078, 220, 15, 8, 75078, 1819, 15, 12264, 101, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 220, 15, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 469, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 36, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 350, 8, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 16, 75078, 320, 15, 75078, 320, 15, 12264, 101, 350, 7861, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 1192, 6774, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 469, 595, 75078, 220, 15, 198, 7, 15, 75078, 220, 16, 8, 75078, 1819, 15, 12264, 101, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 220, 15, 198, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 469, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 320, 36, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 36, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 350, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 16, 75078, 320, 15, 12264, 101, 350, 7861, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 6774, 15, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1209, 15, 75078, 220, 16, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 7, 15, 75078, 320, 15, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 469, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 350, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1843, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n\nOptions:\n((0 \u2228 E) \u2227 (T \u2227 0)) \u2227 ((0 \u2227 1) \u2227 (T \u2228 0))\n(((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (0 \u2228 E)) \u2227 (T \u2227 0)\n(0 \u2227 1) \u2227 ((T \u2228 0) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0)))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((T \u2227 0) \u2227 (0 \u2228 E))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (((0 \u2228 E) \u2227 T) \u2227 0)\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 (0 \u2227 T))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (E \u2227 (T \u2227 0))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((E \u2228 0) \u2227 (T \u2227 0))\n((T \u2228 0) \u2227 (0 \u2227 1)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n(0 \u2227 (1 \u2227 (T \u2228 0))) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n(((0 \u2227 1) \u2227 T) \u2228 ((0 \u2227 1) \u2227 0)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n((0 \u2227 1) \u2227 T) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n(0 \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 (T \u2227 0))\nChosen: ((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\n\nOptions:\n((0 \u2228 E) \u2227 0) \u2227 ((0 \u2227 1) \u2227 (T \u2228 0))\n(((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (0 \u2228 E)) \u2227 0\n(0 \u2227 1) \u2227 ((T \u2228 0) \u2227 ((0 \u2228 E) \u2227 0))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 0\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (0 \u2227 (0 \u2228 E))\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 (E \u2227 0)\n((0 \u2227 1) \u2227 (T \u2228 0)) \u2227 ((E \u2228 0) \u2227 0)\n((T \u2228 0) \u2227 (0 \u2227 1)) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (1 \u2227 (T \u2228 0))) \u2227 ((0 \u2228 E) \u2227 0)\n(((0 \u2227 1) \u2227 T) \u2228 ((0 \u2227 1) \u2227 0)) \u2227 ((0 \u2228 E) \u2227 0)\n((0 \u2227 1) \u2227 T) \u2227 ((0 \u2228 E) \u2227 0)\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\nChosen: ((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\n\nOptions:\n((0 \u2228 E) \u2227 0) \u2227 ((1 \u2227 0) \u2227 (T \u2228 0))\n(((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 (0 \u2228 E)) \u2227 0\n(1 \u2227 0) \u2227 ((T \u2228 0) \u2227 ((0 \u2228 E) \u2227 0))\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 0\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 (0 \u2227 (0 \u2228 E))\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 (E \u2227 0)\n((1 \u2227 0) \u2227 (T \u2228 0)) \u2227 ((E \u2228 0) \u2227 0)\n((T \u2228 0) \u2227 (1 \u2227 0)) \u2227 ((0 \u2228 E) \u2227 0)\n(1 \u2227 (0 \u2227 (T \u2228 0))) \u2227 ((0 \u2228 E) \u2227 0)\n(((1 \u2227 0) \u2227 T) \u2228 ((1 \u2227 0) \u2227 0)) \u2227 ((0 \u2228 E) \u2227 0)\n((1 \u2227 0) \u2227 T) \u2227 ((0 \u2228 E) \u2227 0)\n((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (T \u2228 0)) \u2227 ((0 \u2228 E) \u2227 0)\nChosen: ((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\n\nOptions:\n((0 \u2228 E) \u2227 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2228 T))\n(((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 (0 \u2228 E)) \u2227 0\n(1 \u2227 0) \u2227 ((0 \u2228 T) \u2227 ((0 \u2228 E) \u2227 0))\n((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 0\n((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 (0 \u2227 (0 \u2228 E))\n((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 (E \u2227 0)\n((1 \u2227 0) \u2227 (0 \u2228 T)) \u2227 ((E \u2228 0) \u2227 0)\n((0 \u2228 T) \u2227 (1 \u2227 0)) \u2227 ((0 \u2228 E) \u2227 0)\n(1 \u2227 (0 \u2227 (0 \u2228 T))) \u2227 ((0 \u2228 E) \u2227 0)\n(((1 \u2227 0) \u2227 0) \u2228 ((1 \u2227 0) \u2227 T)) \u2227 ((0 \u2228 E) \u2227 0)\n((1 \u2227 0) \u2227 T) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\nChosen: ((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\n\nOptions:\n((0 \u2228 E) \u2227 0) \u2227 ((0 \u2227 1) \u2227 (0 \u2228 T))\n(((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 (0 \u2228 E)) \u2227 0\n(0 \u2227 1) \u2227 ((0 \u2228 T) \u2227 ((0 \u2228 E) \u2227 0))\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 0\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 (0 \u2227 (0 \u2228 E))\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 (E \u2227 0)\n((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 ((E \u2228 0) \u2227 0)\n((0 \u2228 T) \u2227 (0 \u2227 1)) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (1 \u2227 (0 \u2228 T))) \u2227 ((0 \u2228 E) \u2227 0)\n(((0 \u2227 1) \u2227 0) \u2228 ((0 \u2227 1) \u2227 T)) \u2227 ((0 \u2228 E) \u2227 0)\n((0 \u2227 1) \u2227 T) \u2227 ((0 \u2228 E) \u2227 0)\n(0 \u2227 (0 \u2228 T)) \u2227 ((0 \u2228 E) \u2227 0)\nChosen: ((0 \u2227 1) \u2227 (0 \u2228 T)) \u2227 0", "id": 1750}, {"char_len": 1093, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 50, 75078, 328, 8, 75078, 320, 16, 75078, 328, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 328, 595, 75078, 1819, 50, 75078, 328, 8, 75078, 320, 16, 75078, 328, 1192, 3844, 75078, 328, 8, 75078, 1819, 16, 75078, 328, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 6054, 1209, 50, 75078, 328, 8, 75078, 320, 16, 75078, 328, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 75078, 328, 595, 75078, 320, 83193, 16, 340, 1209, 50, 75078, 328, 8, 75078, 320, 16, 75078, 328, 595, 75078, 320, 83193, 7, 50, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 328, 8, 75078, 320, 50, 75078, 328, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 6774, 50, 75078, 328, 8, 75078, 220, 16, 8, 75078, 328, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 3844, 75078, 320, 50, 75078, 320, 16, 75078, 328, 7861, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 328, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 50, 75078, 220, 16, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 3844, 75078, 320, 16, 75078, 328, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 50, 75078, 328, 8, 75078, 328, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 328, 595, 75078, 1819, 50, 75078, 328, 8, 75078, 328, 340, 3844, 75078, 328, 8, 75078, 320, 50, 75078, 320, 83193, 7, 16, 12264, 101, 328, 6054, 1209, 50, 75078, 328, 8, 75078, 328, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 328, 8, 75078, 320, 83193, 16, 340, 1209, 50, 75078, 328, 8, 75078, 328, 8, 75078, 320, 83193, 7, 50, 12264, 101, 220, 16, 1192, 3844, 75078, 320, 50, 75078, 328, 595, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 3844, 75078, 328, 8, 75078, 320, 83193, 7, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 50, 75078, 328, 8, 75078, 328, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 1819, 50, 75078, 328, 8, 75078, 328, 340, 3844, 75078, 328, 8, 75078, 320, 50, 75078, 320, 83193, 16, 1192, 1209, 50, 75078, 328, 8, 75078, 328, 8, 75078, 220, 15, 198, 3844, 75078, 320, 50, 75078, 328, 595, 75078, 320, 83193, 16, 340, 3844, 75078, 328, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 1819, 50, 75078, 328, 8, 75078, 328, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 1819, 50, 75078, 328, 8, 75078, 328, 340, 3844, 75078, 328, 8, 75078, 320, 50, 75078, 220, 15, 340, 3844, 75078, 320, 50, 75078, 328, 595, 75078, 220, 15, 198, 3844, 75078, 328, 8, 75078, 220, 15, 198, 1163, 8477, 25, 320, 50, 75078, 328, 8, 75078, 320, 50, 75078, 220, 15, 696, 3883, 512, 3844, 75078, 220, 15, 8, 75078, 320, 50, 75078, 328, 340, 50, 75078, 320, 50, 75078, 320, 50, 75078, 220, 15, 1192, 3844, 75078, 328, 8, 75078, 220, 15, 198, 3844, 75078, 328, 8, 75078, 320, 15, 75078, 328, 340, 50, 75078, 320, 50, 75078, 220, 15, 340, 1163, 8477, 25, 328, 75078, 320, 50, 75078, 320, 50, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 598, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((S \u2227 S) \u2227 (1 \u2227 S)) \u2227 (\u00ac(1 \u2228 S))\n\nOptions:\n(\u00ac(1 \u2228 S)) \u2227 ((S \u2227 S) \u2227 (1 \u2227 S))\n(S \u2227 S) \u2227 ((1 \u2227 S) \u2227 (\u00ac(1 \u2228 S)))\n((S \u2227 S) \u2227 (1 \u2227 S)) \u2227 ((\u00ac1) \u2227 (\u00acS))\n((S \u2227 S) \u2227 (1 \u2227 S)) \u2227 (\u00ac1)\n((S \u2227 S) \u2227 (1 \u2227 S)) \u2227 (\u00ac(S \u2228 1))\n((1 \u2227 S) \u2227 (S \u2227 S)) \u2227 (\u00ac(1 \u2228 S))\n(((S \u2227 S) \u2227 1) \u2227 S) \u2227 (\u00ac(1 \u2228 S))\n(S \u2227 (S \u2227 (1 \u2227 S))) \u2227 (\u00ac(1 \u2228 S))\n((S \u2227 S) \u2227 S) \u2227 (\u00ac(1 \u2228 S))\n((S \u2227 S) \u2227 (S \u2227 1)) \u2227 (\u00ac(1 \u2228 S))\n(S \u2227 (1 \u2227 S)) \u2227 (\u00ac(1 \u2228 S))\nChosen: ((S \u2227 S) \u2227 S) \u2227 (\u00ac(1 \u2228 S))\n\nOptions:\n(\u00ac(1 \u2228 S)) \u2227 ((S \u2227 S) \u2227 S)\n(S \u2227 S) \u2227 (S \u2227 (\u00ac(1 \u2228 S)))\n((S \u2227 S) \u2227 S) \u2227 ((\u00ac1) \u2227 (\u00acS))\n((S \u2227 S) \u2227 S) \u2227 (\u00ac1)\n((S \u2227 S) \u2227 S) \u2227 (\u00ac(S \u2228 1))\n(S \u2227 (S \u2227 S)) \u2227 (\u00ac(1 \u2228 S))\n(S \u2227 S) \u2227 (\u00ac(1 \u2228 S))\nChosen: ((S \u2227 S) \u2227 S) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 ((S \u2227 S) \u2227 S)\n(S \u2227 S) \u2227 (S \u2227 (\u00ac1))\n((S \u2227 S) \u2227 S) \u2227 0\n(S \u2227 (S \u2227 S)) \u2227 (\u00ac1)\n(S \u2227 S) \u2227 (\u00ac1)\nChosen: ((S \u2227 S) \u2227 S) \u2227 0\n\nOptions:\n0\n0 \u2227 ((S \u2227 S) \u2227 S)\n(S \u2227 S) \u2227 (S \u2227 0)\n(S \u2227 (S \u2227 S)) \u2227 0\n(S \u2227 S) \u2227 0\nChosen: (S \u2227 S) \u2227 (S \u2227 0)\n\nOptions:\n(S \u2227 0) \u2227 (S \u2227 S)\nS \u2227 (S \u2227 (S \u2227 0))\n(S \u2227 S) \u2227 0\n(S \u2227 S) \u2227 (0 \u2227 S)\nS \u2227 (S \u2227 0)\nChosen: S \u2227 (S \u2227 (S \u2227 0))", "id": 1751}, {"char_len": 183, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 16, 12264, 101, 220, 16, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 220, 16, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 70, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(1 \u2228 1))\n\nOptions:\n1 \u2228 1\n\u00ac((\u00ac1) \u2227 (\u00ac1))\n\u00ac(\u00ac1)\nChosen: 1 \u2228 1\n\nOptions:\n1\nChosen: 1", "id": 1752}, {"char_len": 1784, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 4489, 3883, 512, 1209, 54, 75078, 468, 8, 75078, 320, 83193, 54, 595, 12264, 101, 1819, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 6054, 6774, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 54, 75078, 468, 595, 75078, 11861, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 1819, 83193, 54, 8, 75078, 320, 54, 75078, 468, 1192, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 6054, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 54, 75078, 320, 83193, 54, 1192, 1209, 83193, 54, 8, 12264, 101, 320, 16, 12264, 101, 468, 595, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 1192, 7, 16, 12264, 101, 320, 54, 12264, 101, 320, 83193, 54, 7861, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 1192, 7, 16, 12264, 101, 320, 83193, 54, 595, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 1192, 1209, 54, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 19789, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 7861, 12264, 101, 320, 16, 12264, 101, 468, 340, 16, 12264, 101, 320, 54, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 23631, 7, 16, 12264, 101, 468, 8, 12264, 101, 11861, 54, 75078, 468, 8, 75078, 320, 83193, 54, 595, 12264, 101, 320, 83193, 54, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 11861, 83193, 54, 8, 12264, 101, 320, 54, 75078, 468, 595, 75078, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 54, 6054, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 83193, 54, 8, 75078, 320, 54, 75078, 468, 6054, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 23631, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 83193, 54, 6054, 16, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 6054, 14358, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 468, 8, 75078, 320, 83193, 54, 6054, 1163, 8477, 25, 320, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 58670, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 26843, 12264, 101, 320, 16, 12264, 101, 468, 340, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 6054, 16, 12264, 101, 320, 54, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 72075, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 54, 75078, 320, 54, 75078, 320, 83193, 54, 7861, 12264, 101, 320, 83193, 54, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 11861, 83193, 54, 8, 12264, 101, 468, 8, 75078, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 83193, 54, 23631, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 1819, 54, 75078, 320, 83193, 54, 595, 75078, 468, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 1819, 83193, 54, 8, 75078, 468, 6054, 16, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 23631, 14358, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 320, 54, 75078, 320, 83193, 54, 23631, 1163, 8477, 25, 320, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 468, 340, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 320, 54, 75078, 220, 15, 340, 16, 12264, 101, 320, 54, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 6054, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 54, 75078, 220, 15, 8, 12264, 101, 320, 83193, 54, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 11861, 83193, 54, 8, 12264, 101, 468, 8, 75078, 1819, 83193, 54, 8, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 15, 340, 7, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 15, 75078, 468, 1192, 16, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 1192, 14358, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 320, 54, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 468, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 468, 340, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 220, 15, 198, 16, 12264, 101, 320, 54, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 15, 1192, 7, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 340, 7, 16, 12264, 101, 468, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 54, 1192, 16, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 15, 340, 14358, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 54, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 16, 12264, 101, 468, 8, 12264, 101, 320, 83193, 54, 595, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1148, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 W) \u2228 (\u00acW)) \u2228 ((W \u2227 W) \u2227 (\u00acW))\n\nOptions:\n((W \u2227 W) \u2227 (\u00acW)) \u2228 ((1 \u2228 W) \u2228 (\u00acW))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW)))\n(((1 \u2228 W) \u2228 (\u00acW)) \u2228 (W \u2227 W)) \u2227 (((1 \u2228 W) \u2228 (\u00acW)) \u2228 (\u00acW))\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 ((\u00acW) \u2227 (W \u2227 W))\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 (W \u2227 (W \u2227 (\u00acW)))\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 (W \u2227 (\u00acW))\n((\u00acW) \u2228 (1 \u2228 W)) \u2228 ((W \u2227 W) \u2227 (\u00acW))\n(1 \u2228 (W \u2228 (\u00acW))) \u2228 ((W \u2227 W) \u2227 (\u00acW))\n(1 \u2228 (\u00acW)) \u2228 ((W \u2227 W) \u2227 (\u00acW))\n((W \u2228 1) \u2228 (\u00acW)) \u2228 ((W \u2227 W) \u2227 (\u00acW))\nChosen: (1 \u2228 W) \u2228 ((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW)))\n\nOptions:\n((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW))) \u2228 (1 \u2228 W)\n1 \u2228 (W \u2228 ((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW))))\n(1 \u2228 W) \u2228 (((W \u2227 W) \u2227 (\u00acW)) \u2228 (\u00acW))\n(1 \u2228 W) \u2228 (((\u00acW) \u2228 (W \u2227 W)) \u2227 ((\u00acW) \u2228 (\u00acW)))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 ((\u00acW) \u2227 (W \u2227 W)))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW))))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 (\u00acW)))\n1 \u2228 ((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW)))\n(W \u2228 1) \u2228 ((\u00acW) \u2228 ((W \u2227 W) \u2227 (\u00acW)))\nChosen: (1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW))))\n\nOptions:\n((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW)))) \u2228 (1 \u2228 W)\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 (W \u2227 (W \u2227 (\u00acW)))\n1 \u2228 (W \u2228 ((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW)))))\n(1 \u2228 W) \u2228 ((W \u2227 (W \u2227 (\u00acW))) \u2228 (\u00acW))\n(1 \u2228 W) \u2228 (((\u00acW) \u2228 W) \u2227 ((\u00acW) \u2228 (W \u2227 (\u00acW))))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 ((W \u2227 (\u00acW)) \u2227 W))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 0))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 ((\u00acW) \u2227 W)))\n1 \u2228 ((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW))))\n(W \u2228 1) \u2228 ((\u00acW) \u2228 (W \u2227 (W \u2227 (\u00acW))))\nChosen: (1 \u2228 W) \u2228 ((\u00acW) \u2228 (W \u2227 0))\n\nOptions:\n((\u00acW) \u2228 (W \u2227 0)) \u2228 (1 \u2228 W)\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 (W \u2227 0)\n1 \u2228 (W \u2228 ((\u00acW) \u2228 (W \u2227 0)))\n(1 \u2228 W) \u2228 ((W \u2227 0) \u2228 (\u00acW))\n(1 \u2228 W) \u2228 (((\u00acW) \u2228 W) \u2227 ((\u00acW) \u2228 0))\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 0)\n(1 \u2228 W) \u2228 ((\u00acW) \u2228 (0 \u2227 W))\n1 \u2228 ((\u00acW) \u2228 (W \u2227 0))\n(W \u2228 1) \u2228 ((\u00acW) \u2228 (W \u2227 0))\nChosen: (1 \u2228 W) \u2228 ((\u00acW) \u2228 0)\n\nOptions:\n((\u00acW) \u2228 0) \u2228 (1 \u2228 W)\n((1 \u2228 W) \u2228 (\u00acW)) \u2228 0\n1 \u2228 (W \u2228 ((\u00acW) \u2228 0))\n(1 \u2228 W) \u2228 (\u00acW)\n(1 \u2228 W) \u2228 (0 \u2228 (\u00acW))\n1 \u2228 ((\u00acW) \u2228 0)\n(W \u2228 1) \u2228 ((\u00acW) \u2228 0)\nChosen: ((1 \u2228 W) \u2228 (\u00acW)) \u2228 0", "id": 1753}, {"char_len": 2114, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 34, 595, 12264, 101, 320, 43, 75078, 220, 15, 340, 7, 16, 12264, 101, 220, 15, 8, 12264, 101, 1819, 43, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 6054, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 43, 75078, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 11861, 83193, 34, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 220, 15, 340, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 15, 75078, 445, 1192, 1209, 43, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 43, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 445, 8, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 445, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 7, 16, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 34, 8, 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220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 15, 198, 6774, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 15, 198, 1209, 16, 12264, 101, 445, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 15, 198, 1209, 16, 12264, 101, 320, 15, 12264, 101, 445, 595, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 15, 198, 1163, 8477, 25, 11861, 16, 12264, 101, 445, 8, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 595, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1565, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n\nOptions:\n((\u00acC) \u2228 (L \u2227 0)) \u2228 ((1 \u2228 0) \u2228 (L \u2228 0))\n(((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 (\u00acC)) \u2228 (L \u2227 0)\n(1 \u2228 0) \u2228 ((L \u2228 0) \u2228 ((\u00acC) \u2228 (L \u2227 0)))\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 ((L \u2227 0) \u2228 (\u00acC))\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 (((\u00acC) \u2228 L) \u2227 ((\u00acC) \u2228 0))\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 (0 \u2227 L))\n((L \u2228 0) \u2228 (1 \u2228 0)) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n(((1 \u2228 0) \u2228 L) \u2228 0) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n(1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n((1 \u2228 0) \u2228 L) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n((1 \u2228 0) \u2228 (0 \u2228 L)) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n(1 \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 (L \u2227 0))\n((0 \u2228 1) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 (L \u2227 0))\nChosen: ((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n\nOptions:\n((\u00acC) \u2228 0) \u2228 ((1 \u2228 0) \u2228 (L \u2228 0))\n(((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 (\u00acC)) \u2228 0\n(1 \u2228 0) \u2228 ((L \u2228 0) \u2228 ((\u00acC) \u2228 0))\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 (\u00acC)\n((1 \u2228 0) \u2228 (L \u2228 0)) \u2228 (0 \u2228 (\u00acC))\n((L \u2228 0) \u2228 (1 \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n(((1 \u2228 0) \u2228 L) \u2228 0) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 ((\u00acC) \u2228 0)\n((1 \u2228 0) \u2228 L) \u2228 ((\u00acC) \u2228 0)\n((1 \u2228 0) \u2228 (0 \u2228 L)) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n((0 \u2228 1) \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\nChosen: (1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 ((\u00acC) \u2228 0)\n\nOptions:\n((\u00acC) \u2228 0) \u2228 (1 \u2228 (0 \u2228 (L \u2228 0)))\n((1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 (\u00acC)) \u2228 0\n1 \u2228 ((0 \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0))\n(1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 (\u00acC)\n(1 \u2228 (0 \u2228 (L \u2228 0))) \u2228 (0 \u2228 (\u00acC))\n1 \u2228 ((\u00acC) \u2228 0)\n((0 \u2228 (L \u2228 0)) \u2228 1) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 ((L \u2228 0) \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 ((0 \u2228 L) \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (0 \u2228 L)) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (0 \u2228 (0 \u2228 L))) \u2228 ((\u00acC) \u2228 0)\nChosen: (1 \u2228 (L \u2228 0)) \u2228 ((\u00acC) \u2228 0)\n\nOptions:\n((\u00acC) \u2228 0) \u2228 (1 \u2228 (L \u2228 0))\n((1 \u2228 (L \u2228 0)) \u2228 (\u00acC)) \u2228 0\n1 \u2228 ((L \u2228 0) \u2228 ((\u00acC) \u2228 0))\n(1 \u2228 (L \u2228 0)) \u2228 (\u00acC)\n(1 \u2228 (L \u2228 0)) \u2228 (0 \u2228 (\u00acC))\n1 \u2228 ((\u00acC) \u2228 0)\n((L \u2228 0) \u2228 1) \u2228 ((\u00acC) \u2228 0)\n((1 \u2228 L) \u2228 0) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 L) \u2228 ((\u00acC) \u2228 0)\n(1 \u2228 (0 \u2228 L)) \u2228 ((\u00acC) \u2228 0)\nChosen: ((1 \u2228 (L \u2228 0)) \u2228 (\u00acC)) \u2228 0\n\nOptions:\n(1 \u2228 (L \u2228 0)) \u2228 (\u00acC)\n0 \u2228 ((1 \u2228 (L \u2228 0)) \u2228 (\u00acC))\n((\u00acC) \u2228 (1 \u2228 (L \u2228 0))) \u2228 0\n(1 \u2228 ((L \u2228 0) \u2228 (\u00acC))) \u2228 0\n(1 \u2228 (\u00acC)) \u2228 0\n(((L \u2228 0) \u2228 1) \u2228 (\u00acC)) \u2228 0\n(((1 \u2228 L) \u2228 0) \u2228 (\u00acC)) \u2228 0\n((1 \u2228 L) \u2228 (\u00acC)) \u2228 0\n((1 \u2228 (0 \u2228 L)) \u2228 (\u00acC)) \u2228 0\nChosen: (((1 \u2228 L) \u2228 0) \u2228 (\u00acC)) \u2228 0", "id": 1754}, {"char_len": 1883, "tokens": [39314, 374, 264, 2777, 7645, 13, 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83193, 41, 595, 75078, 320, 41, 75078, 320, 50, 75078, 220, 16, 1192, 1209, 83193, 41, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 41, 75078, 320, 16, 75078, 328, 1192, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 41, 7861, 75078, 320, 41, 75078, 320, 16, 75078, 328, 1192, 7, 15, 12264, 101, 320, 83193, 41, 595, 75078, 320, 41, 75078, 320, 16, 75078, 328, 1192, 1163, 8477, 25, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 41, 595, 75078, 320, 41, 75078, 328, 696, 3883, 512, 16772, 75078, 328, 8, 75078, 1819, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 41, 1192, 6774, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 41, 595, 75078, 622, 8, 75078, 328, 198, 1209, 15, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 41, 595, 75078, 320, 50, 75078, 622, 340, 1209, 83193, 41, 8, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 41, 75078, 328, 340, 7, 15, 12264, 101, 320, 15, 12264, 101, 320, 83193, 41, 7861, 75078, 320, 41, 75078, 328, 340, 7, 15, 12264, 101, 320, 83193, 41, 595, 75078, 320, 41, 75078, 328, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 41, 595, 75078, 320, 41, 75078, 328, 8], "tokenizer": "cl100k_base", "tokens_len": 1172, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((J \u2227 S) \u2227 (1 \u2227 1))\n\nOptions:\n((J \u2227 S) \u2227 (1 \u2227 1)) \u2227 ((0 \u2228 0) \u2228 (\u00acJ))\n(((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 S)) \u2227 (1 \u2227 1)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((1 \u2227 1) \u2227 (J \u2227 S))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (((J \u2227 S) \u2227 1) \u2227 1)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (S \u2227 (1 \u2227 1)))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((J \u2227 S) \u2227 1)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((S \u2227 J) \u2227 (1 \u2227 1))\n((\u00acJ) \u2228 (0 \u2228 0)) \u2227 ((J \u2227 S) \u2227 (1 \u2227 1))\n(0 \u2228 (0 \u2228 (\u00acJ))) \u2227 ((J \u2227 S) \u2227 (1 \u2227 1))\n(0 \u2228 (\u00acJ)) \u2227 ((J \u2227 S) \u2227 (1 \u2227 1))\nChosen: ((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (S \u2227 (1 \u2227 1)))\n\nOptions:\n(J \u2227 (S \u2227 (1 \u2227 1))) \u2227 ((0 \u2228 0) \u2228 (\u00acJ))\n(((0 \u2228 0) \u2228 (\u00acJ)) \u2227 J) \u2227 (S \u2227 (1 \u2227 1))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((S \u2227 (1 \u2227 1)) \u2227 J)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 ((1 \u2227 1) \u2227 S))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 ((S \u2227 1) \u2227 1))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (S \u2227 1))\n((\u00acJ) \u2228 (0 \u2228 0)) \u2227 (J \u2227 (S \u2227 (1 \u2227 1)))\n(0 \u2228 (0 \u2228 (\u00acJ))) \u2227 (J \u2227 (S \u2227 (1 \u2227 1)))\n(0 \u2228 (\u00acJ)) \u2227 (J \u2227 (S \u2227 (1 \u2227 1)))\nChosen: ((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 ((1 \u2227 1) \u2227 S))\n\nOptions:\n(J \u2227 ((1 \u2227 1) \u2227 S)) \u2227 ((0 \u2228 0) \u2228 (\u00acJ))\n(((0 \u2228 0) \u2228 (\u00acJ)) \u2227 J) \u2227 ((1 \u2227 1) \u2227 S)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (((1 \u2227 1) \u2227 S) \u2227 J)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((J \u2227 (1 \u2227 1)) \u2227 S)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (1 \u2227 (1 \u2227 S)))\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (1 \u2227 S))\n((\u00acJ) \u2228 (0 \u2228 0)) \u2227 (J \u2227 ((1 \u2227 1) \u2227 S))\n(0 \u2228 (0 \u2228 (\u00acJ))) \u2227 (J \u2227 ((1 \u2227 1) \u2227 S))\n(0 \u2228 (\u00acJ)) \u2227 (J \u2227 ((1 \u2227 1) \u2227 S))\nChosen: ((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (1 \u2227 S))\n\nOptions:\n(J \u2227 (1 \u2227 S)) \u2227 ((0 \u2228 0) \u2228 (\u00acJ))\n(((0 \u2228 0) \u2228 (\u00acJ)) \u2227 J) \u2227 (1 \u2227 S)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((1 \u2227 S) \u2227 J)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 ((J \u2227 1) \u2227 S)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 S)\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 (S \u2227 1))\n((\u00acJ) \u2228 (0 \u2228 0)) \u2227 (J \u2227 (1 \u2227 S))\n(0 \u2228 (0 \u2228 (\u00acJ))) \u2227 (J \u2227 (1 \u2227 S))\n(0 \u2228 (\u00acJ)) \u2227 (J \u2227 (1 \u2227 S))\nChosen: ((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (J \u2227 S)\n\nOptions:\n(J \u2227 S) \u2227 ((0 \u2228 0) \u2228 (\u00acJ))\n(((0 \u2228 0) \u2228 (\u00acJ)) \u2227 J) \u2227 S\n((0 \u2228 0) \u2228 (\u00acJ)) \u2227 (S \u2227 J)\n((\u00acJ) \u2228 (0 \u2228 0)) \u2227 (J \u2227 S)\n(0 \u2228 (0 \u2228 (\u00acJ))) \u2227 (J \u2227 S)\n(0 \u2228 (\u00acJ)) \u2227 (J \u2227 S)\nChosen: (0 \u2228 (\u00acJ)) \u2227 (J \u2227 S)", "id": 1755}, {"char_len": 1985, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 33, 75078, 220, 15, 8, 75078, 320, 55, 75078, 1630, 4489, 3883, 512, 1209, 33, 75078, 220, 15, 8, 75078, 320, 55, 75078, 1630, 595, 75078, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 320, 55, 75078, 1630, 340, 1209, 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12264, 101, 320, 83193, 16, 595, 75078, 1819, 33, 75078, 220, 15, 8, 75078, 320, 55, 75078, 1630, 1192, 1163, 8477, 25, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 320, 55, 75078, 1630, 696, 3883, 512, 7799, 75078, 1630, 8, 75078, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 1192, 67944, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 8, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 198, 1209, 33, 75078, 220, 15, 8, 75078, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 55, 75078, 1630, 340, 67944, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 426, 8, 75078, 220, 15, 8, 75078, 320, 55, 75078, 1630, 340, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 320, 55, 75078, 1630, 340, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 426, 595, 75078, 320, 55, 75078, 1630, 340, 6774, 83193, 16, 8, 12264, 101, 320, 55, 75078, 426, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 320, 55, 75078, 1630, 340, 6774, 55, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 75078, 220, 15, 595, 75078, 320, 55, 75078, 1630, 340, 6774, 33, 75078, 1630, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 320, 55, 75078, 1630, 340, 1163, 8477, 25, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 271, 3883, 512, 55, 75078, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 1192, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 33, 75078, 220, 15, 8, 75078, 1630, 340, 1209, 33, 75078, 220, 15, 8, 75078, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 1630, 198, 67944, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 426, 8, 75078, 220, 15, 8, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 426, 595, 75078, 1630, 198, 6774, 83193, 16, 8, 12264, 101, 320, 55, 75078, 426, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 198, 6774, 33, 75078, 1630, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 33, 75078, 220, 15, 595, 75078, 1630, 198, 1163, 8477, 25, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 426, 595, 75078, 1630, 271, 3883, 512, 55, 75078, 11861, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 426, 1192, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 340, 1209, 15, 75078, 426, 8, 75078, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 1630, 198, 67944, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 426, 8, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 220, 15, 8, 75078, 1630, 198, 6774, 83193, 16, 8, 12264, 101, 320, 55, 75078, 426, 595, 75078, 320, 15, 75078, 426, 595, 75078, 1630, 198, 6774, 55, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 426, 595, 75078, 1630, 198, 6774, 33, 75078, 1630, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 426, 595, 75078, 1630, 198, 1163, 8477, 25, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 696, 3883, 512, 1209, 15, 75078, 426, 8, 75078, 1630, 8, 75078, 1819, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 55, 75078, 320, 15, 75078, 426, 1192, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 320, 33, 75078, 1630, 1192, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 15, 75078, 1630, 340, 1209, 55, 75078, 426, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 33, 75078, 220, 15, 8, 75078, 1630, 340, 1209, 83193, 16, 8, 12264, 101, 320, 55, 75078, 426, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 340, 1209, 55, 75078, 426, 8, 12264, 101, 220, 15, 8, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 340, 1209, 33, 75078, 1630, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 55, 75078, 426, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 1630, 8], "tokenizer": "cl100k_base", "tokens_len": 1154, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((B \u2227 0) \u2227 (X \u2227 X))\n\nOptions:\n((B \u2227 0) \u2227 (X \u2227 X)) \u2227 ((X \u2227 B) \u2228 (\u00ac1))\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 (X \u2227 X)\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((X \u2227 X) \u2227 (B \u2227 0))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (((B \u2227 0) \u2227 X) \u2227 X)\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 (0 \u2227 (X \u2227 X)))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((B \u2227 0) \u2227 X)\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 (X \u2227 X))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((0 \u2227 B) \u2227 (X \u2227 X))\n((\u00ac1) \u2228 (X \u2227 B)) \u2227 ((B \u2227 0) \u2227 (X \u2227 X))\n((X \u2227 B) \u2228 0) \u2227 ((B \u2227 0) \u2227 (X \u2227 X))\n((B \u2227 X) \u2228 (\u00ac1)) \u2227 ((B \u2227 0) \u2227 (X \u2227 X))\nChosen: (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 (X \u2227 X)\n\nOptions:\n(X \u2227 X) \u2227 (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0))\n((((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 X) \u2227 X\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 X\n((B \u2227 0) \u2227 ((X \u2227 B) \u2228 (\u00ac1))) \u2227 (X \u2227 X)\n((((X \u2227 B) \u2228 (\u00ac1)) \u2227 B) \u2227 0) \u2227 (X \u2227 X)\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 0) \u2227 (X \u2227 X)\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 B)) \u2227 (X \u2227 X)\n(((\u00ac1) \u2228 (X \u2227 B)) \u2227 (B \u2227 0)) \u2227 (X \u2227 X)\n(((X \u2227 B) \u2228 0) \u2227 (B \u2227 0)) \u2227 (X \u2227 X)\n(((B \u2227 X) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 (X \u2227 X)\nChosen: (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 X\n\nOptions:\nX \u2227 (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (B \u2227 0))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((B \u2227 0) \u2227 X)\n((B \u2227 0) \u2227 ((X \u2227 B) \u2228 (\u00ac1))) \u2227 X\n((((X \u2227 B) \u2228 (\u00ac1)) \u2227 B) \u2227 0) \u2227 X\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 0) \u2227 X\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 B)) \u2227 X\n(((\u00ac1) \u2228 (X \u2227 B)) \u2227 (B \u2227 0)) \u2227 X\n(((X \u2227 B) \u2228 0) \u2227 (B \u2227 0)) \u2227 X\n(((B \u2227 X) \u2228 (\u00ac1)) \u2227 (B \u2227 0)) \u2227 X\nChosen: (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 B)) \u2227 X\n\nOptions:\nX \u2227 (((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 B))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((0 \u2227 B) \u2227 X)\n((0 \u2227 B) \u2227 ((X \u2227 B) \u2228 (\u00ac1))) \u2227 X\n((((X \u2227 B) \u2228 (\u00ac1)) \u2227 0) \u2227 B) \u2227 X\n(((X \u2227 B) \u2228 (\u00ac1)) \u2227 0) \u2227 X\n(((\u00ac1) \u2228 (X \u2227 B)) \u2227 (0 \u2227 B)) \u2227 X\n(((X \u2227 B) \u2228 0) \u2227 (0 \u2227 B)) \u2227 X\n(((B \u2227 X) \u2228 (\u00ac1)) \u2227 (0 \u2227 B)) \u2227 X\nChosen: ((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((0 \u2227 B) \u2227 X)\n\nOptions:\n((0 \u2227 B) \u2227 X) \u2227 ((X \u2227 B) \u2228 (\u00ac1))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (X \u2227 (0 \u2227 B))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 (B \u2227 X))\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 (0 \u2227 X)\n((X \u2227 B) \u2228 (\u00ac1)) \u2227 ((B \u2227 0) \u2227 X)\n((\u00ac1) \u2228 (X \u2227 B)) \u2227 ((0 \u2227 B) \u2227 X)\n((X \u2227 B) \u2228 0) \u2227 ((0 \u2227 B) \u2227 X)\n((B \u2227 X) \u2228 (\u00ac1)) \u2227 ((0 \u2227 B) \u2227 X)\nChosen: ((\u00ac1) \u2228 (X \u2227 B)) \u2227 ((0 \u2227 B) \u2227 X)", "id": 1756}, {"char_len": 659, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 51, 8, 12264, 101, 320, 43, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 43, 75078, 220, 16, 1192, 83193, 1209, 43, 75078, 220, 16, 8, 12264, 101, 320, 83193, 51, 1192, 83193, 6774, 83193, 51, 8, 12264, 101, 445, 8, 75078, 1819, 83193, 51, 8, 12264, 101, 220, 16, 1192, 83193, 1209, 83193, 51, 8, 12264, 101, 445, 340, 83193, 1209, 83193, 51, 8, 12264, 101, 320, 16, 75078, 445, 1192, 1163, 8477, 25, 97265, 1209, 83193, 51, 8, 12264, 101, 320, 16, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 16, 75078, 445, 1192, 83193, 1209, 16, 75078, 445, 8, 12264, 101, 320, 83193, 51, 1192, 83193, 6774, 83193, 51, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 51, 8, 12264, 101, 445, 1192, 83193, 1209, 83193, 51, 8, 12264, 101, 445, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 16, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 445, 595, 75078, 320, 83193, 7, 83193, 51, 1192, 7, 83193, 7, 83193, 51, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 43, 1192, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 43, 340, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 43, 75078, 220, 16, 1192, 51, 75078, 320, 83193, 7, 16, 75078, 445, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 7, 43, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 43, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 51, 1192, 7, 83193, 7, 83193, 51, 595, 75078, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 43, 340, 51, 75078, 320, 83193, 7, 43, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 51, 595, 75078, 320, 83193, 43, 696, 3883, 512, 7, 83193, 43, 8, 75078, 320, 83193, 7, 83193, 51, 1192, 51, 75078, 320, 83193, 43, 340, 1163, 8477, 25, 350, 75078, 320, 83193, 43, 8], "tokenizer": "cl100k_base", "tokens_len": 372, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00acT) \u2228 (L \u2227 1))\n\nOptions:\n(\u00ac(\u00acT)) \u2227 (\u00ac(L \u2227 1))\n\u00ac((L \u2227 1) \u2228 (\u00acT))\n\u00ac(((\u00acT) \u2228 L) \u2227 ((\u00acT) \u2228 1))\n\u00ac((\u00acT) \u2228 L)\n\u00ac((\u00acT) \u2228 (1 \u2227 L))\nChosen: \u00ac((\u00acT) \u2228 (1 \u2227 L))\n\nOptions:\n(\u00ac(\u00acT)) \u2227 (\u00ac(1 \u2227 L))\n\u00ac((1 \u2227 L) \u2228 (\u00acT))\n\u00ac(((\u00acT) \u2228 1) \u2227 ((\u00acT) \u2228 L))\n\u00ac((\u00acT) \u2228 L)\nChosen: (\u00ac(\u00acT)) \u2227 (\u00ac(1 \u2227 L))\n\nOptions:\n(\u00ac(1 \u2227 L)) \u2227 (\u00ac(\u00acT))\n(\u00ac(\u00acT)) \u2227 ((\u00ac1) \u2228 (\u00acL))\n(\u00ac(\u00acT)) \u2227 (\u00acL)\n(\u00ac(\u00acT)) \u2227 (\u00ac(L \u2227 1))\nT \u2227 (\u00ac(1 \u2227 L))\nChosen: (\u00ac(\u00acT)) \u2227 (\u00ac(L \u2227 1))\n\nOptions:\n(\u00ac(L \u2227 1)) \u2227 (\u00ac(\u00acT))\n(\u00ac(\u00acT)) \u2227 ((\u00acL) \u2228 (\u00ac1))\n(\u00ac(\u00acT)) \u2227 (\u00acL)\nT \u2227 (\u00ac(L \u2227 1))\nChosen: (\u00ac(\u00acT)) \u2227 (\u00acL)\n\nOptions:\n(\u00acL) \u2227 (\u00ac(\u00acT))\nT \u2227 (\u00acL)\nChosen: T \u2227 (\u00acL)", "id": 1757}, {"char_len": 2573, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 54, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 54, 595, 12264, 101, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 15, 12264, 101, 220, 16, 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12264, 101, 320, 83193, 54, 1192, 1209, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 54, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 54, 1192, 1163, 8477, 25, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 4489, 3883, 512, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 6774, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 595, 75078, 11861, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 54, 8, 75078, 11861, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 1209, 83193, 16, 8, 75078, 11861, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 67944, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 6774, 83193, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 6774, 15, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 1192, 1163, 8477, 25, 52200, 83193, 15, 8, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 54, 595], "tokenizer": "cl100k_base", "tokens_len": 1789, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 1) \u2228 (\u00ac0)) \u2227 ((\u00acW) \u2228 (\u00ac1))\n\nOptions:\n((\u00acW) \u2228 (\u00ac1)) \u2227 ((0 \u2228 1) \u2228 (\u00ac0))\n(((0 \u2228 1) \u2228 (\u00ac0)) \u2227 (\u00acW)) \u2228 (((0 \u2228 1) \u2228 (\u00ac0)) \u2227 (\u00ac1))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2227 ((\u00acW) \u2228 0)\n((\u00ac0) \u2228 (0 \u2228 1)) \u2227 ((\u00acW) \u2228 (\u00ac1))\n(0 \u2228 (1 \u2228 (\u00ac0))) \u2227 ((\u00acW) \u2228 (\u00ac1))\n((0 \u2228 1) \u2228 1) \u2227 ((\u00acW) \u2228 (\u00ac1))\n(1 \u2228 (\u00ac0)) \u2227 ((\u00acW) \u2228 (\u00ac1))\n((1 \u2228 0) \u2228 (\u00ac0)) \u2227 ((\u00acW) \u2228 (\u00ac1))\nChosen: ((0 \u2228 1) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n\nOptions:\n((\u00ac1) \u2228 (\u00acW)) \u2227 ((0 \u2228 1) \u2228 (\u00ac0))\n(((0 \u2228 1) \u2228 (\u00ac0)) \u2227 (\u00ac1)) \u2228 (((0 \u2228 1) \u2228 (\u00ac0)) \u2227 (\u00acW))\n((0 \u2228 1) \u2228 (\u00ac0)) \u2227 (0 \u2228 (\u00acW))\n((\u00ac0) \u2228 (0 \u2228 1)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n(0 \u2228 (1 \u2228 (\u00ac0))) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((0 \u2228 1) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n(1 \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((1 \u2228 0) \u2228 (\u00ac0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\nChosen: ((\u00ac0) \u2228 (0 \u2228 1)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n\nOptions:\n((\u00ac1) \u2228 (\u00acW)) \u2227 ((\u00ac0) \u2228 (0 \u2228 1))\n(((\u00ac0) \u2228 (0 \u2228 1)) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 (0 \u2228 1)) \u2227 (\u00acW))\n((\u00ac0) \u2228 (0 \u2228 1)) \u2227 ((\u00acW) \u2228 (\u00ac1))\n((\u00ac0) \u2228 (0 \u2228 1)) \u2227 (0 \u2228 (\u00acW))\n(((\u00ac0) \u2228 0) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((\u00ac0) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n(1 \u2228 (0 \u2228 1)) \u2227 ((\u00ac1) \u2228 (\u00acW))\nChosen: (((\u00ac0) \u2228 0) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n\nOptions:\n((\u00ac1) \u2228 (\u00acW)) \u2227 (((\u00ac0) \u2228 0) \u2228 1)\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(((\u00ac0) \u2228 0) \u2228 1) \u2227 ((\u00acW) \u2228 (\u00ac1))\n(((\u00ac0) \u2228 0) \u2228 1) \u2227 (0 \u2228 (\u00acW))\n1 \u2227 ((\u00ac1) \u2228 (\u00acW))\n(1 \u2228 ((\u00ac0) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((\u00ac0) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n(1 \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((0 \u2228 (\u00ac0)) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\n((1 \u2228 0) \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acW))\nChosen: ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n\nOptions:\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1))\n(((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 0) \u2228 1)) \u2227 (((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((\u00acW) \u2227 (((\u00ac0) \u2228 0) \u2228 1))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (1 \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((1 \u2228 ((\u00ac0) \u2228 0)) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 (0 \u2228 1)) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac0) \u2228 1) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((1 \u2228 1) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((0 \u2228 (\u00ac0)) \u2228 1) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 (((1 \u2228 0) \u2228 1) \u2227 (\u00acW))\n((\u00ac1) \u2227 (((\u00ac0) \u2228 0) \u2228 1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n((((\u00ac0) \u2228 0) \u2228 1) \u2227 0) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(1 \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n((1 \u2228 ((\u00ac0) \u2228 0)) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(((\u00ac0) \u2228 (0 \u2228 1)) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(((\u00ac0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n((1 \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(((0 \u2228 (\u00ac0)) \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\n(((1 \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00acW))\nChosen: ((((\u00ac0) \u2228 0) \u2228 1) \u2227 (\u00ac1)) \u2228 ((1 \u2228 1) \u2227 (\u00acW))", "id": 1758}, {"char_len": 893, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 39, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 83193, 1209, 39, 75078, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 6774, 15, 12264, 101, 220, 16, 8, 75078, 473, 8, 75078, 220, 16, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 473, 340, 83193, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 473, 1192, 83193, 7, 16, 75078, 320, 39, 75078, 220, 16, 1192, 83193, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 39, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 39, 340, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 473, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 473, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 473, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 39, 1192, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 39, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 16, 75078, 473, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 473, 1192, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 16, 75078, 473, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 7, 16, 75078, 473, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 473, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 39, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 39, 340, 7, 83193, 16, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 15, 12264, 101, 320, 83193, 7, 16, 75078, 473, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 16, 8, 12264, 101, 320, 83193, 39, 340, 15, 12264, 101, 320, 83193, 7, 39, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 83193, 39, 8], "tokenizer": "cl100k_base", "tokens_len": 573, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((0 \u2228 1) \u2227 (H \u2227 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 (\u00ac(H \u2227 1))\n\u00ac((H \u2227 1) \u2227 (0 \u2228 1))\n\u00ac(((0 \u2228 1) \u2227 H) \u2227 1)\n\u00ac((0 \u2228 1) \u2227 H)\n\u00ac((0 \u2228 1) \u2227 (1 \u2227 H))\n\u00ac(1 \u2227 (H \u2227 1))\n\u00ac((1 \u2228 0) \u2227 (H \u2227 1))\nChosen: (\u00ac(0 \u2228 1)) \u2228 (\u00ac(H \u2227 1))\n\nOptions:\n(\u00ac(H \u2227 1)) \u2228 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2228 ((\u00acH) \u2228 (\u00ac1))\n(\u00ac(0 \u2228 1)) \u2228 (\u00acH)\n(\u00ac(0 \u2228 1)) \u2228 (\u00ac(1 \u2227 H))\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (\u00ac(H \u2227 1))\n(\u00ac1) \u2228 (\u00ac(H \u2227 1))\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac(H \u2227 1))\nChosen: (\u00ac(0 \u2228 1)) \u2228 (\u00ac(1 \u2227 H))\n\nOptions:\n(\u00ac(1 \u2227 H)) \u2228 (\u00ac(0 \u2228 1))\n(\u00ac(0 \u2228 1)) \u2228 ((\u00ac1) \u2228 (\u00acH))\n(\u00ac(0 \u2228 1)) \u2228 (\u00acH)\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (\u00ac(1 \u2227 H))\n(\u00ac1) \u2228 (\u00ac(1 \u2227 H))\n(\u00ac(1 \u2228 0)) \u2228 (\u00ac(1 \u2227 H))\nChosen: (\u00ac1) \u2228 (\u00ac(1 \u2227 H))\n\nOptions:\n(\u00ac(1 \u2227 H)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((\u00ac1) \u2228 (\u00acH))\n(\u00ac1) \u2228 (\u00acH)\n(\u00ac1) \u2228 (\u00ac(H \u2227 1))\n0 \u2228 (\u00ac(1 \u2227 H))\nChosen: (\u00ac1) \u2228 (\u00ac(H \u2227 1))\n\nOptions:\n(\u00ac(H \u2227 1)) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((\u00acH) \u2228 (\u00ac1))\n(\u00ac1) \u2228 (\u00acH)\n0 \u2228 (\u00ac(H \u2227 1))\nChosen: (\u00ac1) \u2228 (\u00acH)", "id": 1759}, {"char_len": 485, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 57, 8, 75078, 320, 35, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 57, 595, 12264, 101, 320, 83193, 7, 35, 12264, 101, 220, 15, 1192, 83193, 1209, 35, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 1192, 83193, 6774, 83193, 57, 8, 75078, 423, 8, 12264, 101, 1819, 83193, 57, 8, 75078, 220, 15, 1192, 83193, 1209, 83193, 57, 8, 75078, 423, 340, 83193, 1209, 83193, 57, 8, 75078, 320, 15, 12264, 101, 423, 1192, 1163, 8477, 25, 97265, 1209, 35, 12264, 101, 220, 15, 8, 75078, 320, 83193, 57, 4489, 3883, 512, 7, 83193, 7, 35, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 57, 1192, 83193, 7, 35, 75078, 320, 83193, 57, 1192, 83193, 1209, 15, 12264, 101, 423, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 97265, 7, 35, 75078, 320, 83193, 57, 4489, 3883, 512, 7, 83193, 35, 8, 12264, 101, 320, 83193, 7, 83193, 57, 1192, 83193, 1209, 83193, 57, 8, 75078, 423, 340, 1163, 8477, 25, 97265, 1209, 83193, 57, 8, 75078, 423, 696, 3883, 512, 7, 83193, 7, 83193, 57, 595, 12264, 101, 320, 83193, 35, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 57, 595, 12264, 101, 320, 83193, 35, 696, 3883, 512, 7, 83193, 35, 8, 12264, 101, 320, 83193, 7, 83193, 57, 1192, 57, 12264, 101, 320, 83193, 35, 340, 1163, 8477, 25, 1901, 12264, 101, 320, 83193, 35, 8], "tokenizer": "cl100k_base", "tokens_len": 260, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00acZ) \u2227 (D \u2228 0))\n\nOptions:\n(\u00ac(\u00acZ)) \u2228 (\u00ac(D \u2228 0))\n\u00ac((D \u2228 0) \u2227 (\u00acZ))\n\u00ac(((\u00acZ) \u2227 D) \u2228 ((\u00acZ) \u2227 0))\n\u00ac((\u00acZ) \u2227 D)\n\u00ac((\u00acZ) \u2227 (0 \u2228 D))\nChosen: \u00ac((D \u2228 0) \u2227 (\u00acZ))\n\nOptions:\n(\u00ac(D \u2228 0)) \u2228 (\u00ac(\u00acZ))\n\u00ac(D \u2227 (\u00acZ))\n\u00ac((0 \u2228 D) \u2227 (\u00acZ))\nChosen: \u00ac(D \u2227 (\u00acZ))\n\nOptions:\n(\u00acD) \u2228 (\u00ac(\u00acZ))\n\u00ac((\u00acZ) \u2227 D)\nChosen: \u00ac((\u00acZ) \u2227 D)\n\nOptions:\n(\u00ac(\u00acZ)) \u2228 (\u00acD)\nChosen: (\u00ac(\u00acZ)) \u2228 (\u00acD)\n\nOptions:\n(\u00acD) \u2228 (\u00ac(\u00acZ))\nZ \u2228 (\u00acD)\nChosen: Z \u2228 (\u00acD)", "id": 1760}, {"char_len": 674, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 39, 12264, 101, 220, 16, 1192, 83193, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 83193, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 83193, 7, 16, 12264, 101, 320, 15, 12264, 101, 320, 39, 12264, 101, 220, 16, 6054, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 473, 1192, 83193, 7, 16, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 320, 39, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 39, 12264, 101, 220, 16, 1192, 83193, 16, 198, 83193, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 83193, 7, 16, 12264, 101, 220, 16, 340, 83193, 7, 16, 12264, 101, 320, 16, 12264, 101, 473, 1192, 1163, 8477, 25, 97265, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 7, 39, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 39, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 83193, 7, 16, 12264, 101, 220, 16, 340, 83193, 1209, 16, 12264, 101, 473, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 39, 12264, 101, 220, 16, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 39, 12264, 101, 220, 16, 1192, 7, 83193, 7, 39, 12264, 101, 220, 16, 595, 75078, 220, 15, 198, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 16, 340, 7, 83193, 16, 8, 75078, 320, 83193, 16, 340, 7, 83193, 7, 16, 12264, 101, 473, 595, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 220, 15, 198, 15, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 429, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2228 0) \u2228 (H \u2228 1))\n\nOptions:\n(\u00ac(1 \u2228 0)) \u2227 (\u00ac(H \u2228 1))\n\u00ac((H \u2228 1) \u2228 (1 \u2228 0))\n\u00ac(((1 \u2228 0) \u2228 H) \u2228 1)\n\u00ac(1 \u2228 (0 \u2228 (H \u2228 1)))\n\u00ac((1 \u2228 0) \u2228 1)\n\u00ac((1 \u2228 0) \u2228 (1 \u2228 H))\n\u00ac(1 \u2228 (H \u2228 1))\n\u00ac((0 \u2228 1) \u2228 (H \u2228 1))\nChosen: \u00ac(1 \u2228 (H \u2228 1))\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(H \u2228 1))\n\u00ac1\n\u00ac((H \u2228 1) \u2228 1)\n\u00ac((1 \u2228 H) \u2228 1)\n\u00ac(1 \u2228 1)\n\u00ac(1 \u2228 (1 \u2228 H))\nChosen: \u00ac((H \u2228 1) \u2228 1)\n\nOptions:\n(\u00ac(H \u2228 1)) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(H \u2228 (1 \u2228 1))\n\u00ac(1 \u2228 1)\n\u00ac((1 \u2228 H) \u2228 1)\nChosen: (\u00ac(H \u2228 1)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(H \u2228 1))\n(\u00ac(H \u2228 1)) \u2227 0\n((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00ac1)\n(\u00ac1) \u2227 (\u00ac1)\n(\u00ac(1 \u2228 H)) \u2227 (\u00ac1)\nChosen: (\u00ac1) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 0\n0 \u2227 (\u00ac1)\nChosen: (\u00ac1) \u2227 0", "id": 1761}, {"char_len": 1904, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 4489, 3883, 512, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 1192, 6774, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 320, 55, 12264, 101, 1630, 595, 75078, 11861, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 320, 55, 75078, 320, 83193, 55, 1192, 1209, 36, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 15, 75078, 220, 15, 8, 75078, 469, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 7, 15, 75078, 320, 15, 75078, 320, 36, 75078, 220, 15, 7861, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 7, 15, 75078, 320, 36, 75078, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 1163, 8477, 25, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 4489, 3883, 512, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 1192, 6774, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 320, 55, 12264, 101, 1630, 595, 75078, 11861, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 1819, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 595, 12264, 101, 320, 55, 75078, 320, 83193, 55, 1192, 1209, 15, 75078, 469, 8, 75078, 320, 15, 75078, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 469, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 7, 15, 75078, 320, 15, 75078, 320, 15, 75078, 469, 7861, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 1209, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 7, 15, 75078, 320, 15, 75078, 469, 595, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 4489, 3883, 512, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 469, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 469, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 11861, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 469, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 320, 15, 75078, 469, 6054, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 36, 75078, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 469, 1192, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 1192, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 320, 15, 75078, 469, 1192, 1163, 8477, 25, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 1192, 6774, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 11861, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 220, 15, 340, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 55, 12264, 101, 1630, 8, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 220, 15, 340, 1209, 83193, 55, 8, 75078, 320, 55, 12264, 101, 1630, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 55, 75078, 320, 83193, 55, 595, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 15, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 55, 75078, 320, 83193, 55, 1192, 1209, 55, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 220, 15, 595, 75078, 1819, 55, 75078, 320, 83193, 55, 595, 12264, 101, 220, 15, 340, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 220, 15, 198, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 220, 15, 1192, 7799, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 220, 15, 340, 15, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 83193, 55, 8, 75078, 1630, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 55, 75078, 320, 83193, 55, 595, 12264, 101, 320, 15, 75078, 320, 15, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1176, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2227 (E \u2227 0)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n\nOptions:\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 (E \u2227 0))\n(((0 \u2227 0) \u2227 (E \u2227 0)) \u2228 (X \u2228 X)) \u2227 (((0 \u2227 0) \u2227 (E \u2227 0)) \u2228 (\u00acX))\n((0 \u2227 0) \u2227 (E \u2227 0)) \u2228 ((\u00acX) \u2227 (X \u2228 X))\n((0 \u2227 0) \u2227 (E \u2227 0)) \u2228 (X \u2227 (\u00acX))\n((E \u2227 0) \u2227 (0 \u2227 0)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((0 \u2227 0) \u2227 E) \u2227 0) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(0 \u2227 (0 \u2227 (E \u2227 0))) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n((0 \u2227 0) \u2227 0) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(0 \u2227 (E \u2227 0)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\nChosen: ((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n\nOptions:\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 (0 \u2227 E))\n(((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 (X \u2228 X)) \u2227 (((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 (\u00acX))\n((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 ((\u00acX) \u2227 (X \u2228 X))\n((0 \u2227 0) \u2227 (0 \u2227 E)) \u2228 (X \u2227 (\u00acX))\n((0 \u2227 E) \u2227 (0 \u2227 0)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((0 \u2227 0) \u2227 0) \u2227 E) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(0 \u2227 (0 \u2227 (0 \u2227 E))) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n((0 \u2227 0) \u2227 0) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(0 \u2227 (0 \u2227 E)) \u2228 ((X \u2228 X) \u2227 (\u00acX))\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 (0 \u2227 E))\n\nOptions:\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 0)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 E))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 E) \u2227 (0 \u2227 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (((0 \u2227 0) \u2227 0) \u2227 E)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 (0 \u2227 (0 \u2227 E)))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 0)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 (E \u2227 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 (0 \u2227 E))\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((0 \u2227 0) \u2227 (0 \u2227 E))\n(X \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 (0 \u2227 E))\nChosen: ((X \u2228 X) \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 0)\n\nOptions:\n((0 \u2227 0) \u2227 0) \u2228 ((X \u2228 X) \u2227 (\u00acX))\n(((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 0)) \u2227 (((X \u2228 X) \u2227 (\u00acX)) \u2228 0)\n((X \u2228 X) \u2227 (\u00acX)) \u2228 0\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 (0 \u2227 0))\n((X \u2228 X) \u2227 (\u00acX)) \u2228 (0 \u2227 0)\n((\u00acX) \u2227 (X \u2228 X)) \u2228 ((0 \u2227 0) \u2227 0)\n(X \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 0)\nChosen: (X \u2227 (\u00acX)) \u2228 ((0 \u2227 0) \u2227 0)\n\nOptions:\n((0 \u2227 0) \u2227 0) \u2228 (X \u2227 (\u00acX))\n((X \u2227 (\u00acX)) \u2228 (0 \u2227 0)) \u2227 ((X \u2227 (\u00acX)) \u2228 0)\n(X \u2227 (\u00acX)) \u2228 0\n(X \u2227 (\u00acX)) \u2228 (0 \u2227 (0 \u2227 0))\n(X \u2227 (\u00acX)) \u2228 (0 \u2227 0)\n0 \u2228 ((0 \u2227 0) \u2227 0)\n((\u00acX) \u2227 X) \u2228 ((0 \u2227 0) \u2227 0)\nChosen: (X \u2227 (\u00acX)) \u2228 (0 \u2227 (0 \u2227 0))", "id": 1762}, {"char_len": 1193, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 75078, 426, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 426, 595, 12264, 101, 1819, 55, 75078, 426, 8, 75078, 320, 33, 12264, 101, 220, 15, 1192, 1209, 55, 75078, 426, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 33, 1192, 1209, 55, 75078, 426, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 33, 340, 1209, 33, 12264, 101, 220, 15, 8, 75078, 320, 55, 75078, 426, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 320, 33, 75078, 320, 33, 12264, 101, 220, 15, 7861, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 6774, 55, 75078, 426, 8, 75078, 426, 8, 12264, 101, 1819, 55, 75078, 426, 8, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1209, 55, 75078, 426, 8, 75078, 426, 8, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1209, 55, 75078, 426, 8, 75078, 320, 15, 12264, 101, 426, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1209, 33, 75078, 1630, 8, 75078, 320, 33, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 33, 75078, 320, 33, 12264, 101, 220, 15, 7861, 12264, 101, 320, 83193, 7, 33, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 426, 595, 12264, 101, 320, 55, 75078, 320, 33, 75078, 320, 33, 12264, 101, 220, 15, 6054, 7799, 75078, 320, 33, 75078, 320, 33, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 33, 1192, 7799, 75078, 320, 33, 75078, 320, 33, 12264, 101, 220, 15, 7861, 12264, 101, 320, 83193, 33, 340, 1209, 33, 75078, 320, 33, 12264, 101, 220, 15, 595, 75078, 1630, 8, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 1819, 33, 12264, 101, 220, 15, 8, 75078, 426, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 1819, 33, 75078, 426, 8, 12264, 101, 320, 33, 75078, 220, 15, 7861, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 320, 33, 75078, 426, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 320, 33, 75078, 320, 15, 12264, 101, 426, 7861, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 33, 75078, 426, 595, 12264, 101, 320, 83193, 7, 33, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 33, 75078, 426, 595, 12264, 101, 320, 55, 75078, 320, 33, 75078, 426, 1192, 7799, 75078, 320, 33, 75078, 426, 595, 12264, 101, 1819, 83193, 33, 8, 12264, 101, 320, 83193, 33, 1192, 7799, 75078, 320, 33, 75078, 426, 595, 12264, 101, 320, 83193, 33, 340, 1209, 33, 75078, 426, 8, 75078, 1630, 8, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1209, 55, 75078, 426, 8, 75078, 426, 8, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 7799, 75078, 426, 8, 12264, 101, 320, 83193, 7, 33, 75078, 426, 1192, 1163, 8477, 25, 320, 55, 75078, 320, 33, 75078, 426, 595, 12264, 101, 320, 83193, 33, 696, 3883, 512, 7, 83193, 33, 8, 12264, 101, 320, 55, 75078, 320, 33, 75078, 426, 1192, 1209, 33, 75078, 426, 8, 75078, 1630, 8, 12264, 101, 320, 83193, 33, 340, 1209, 55, 75078, 426, 8, 75078, 426, 8, 12264, 101, 320, 83193, 33, 340, 7799, 75078, 426, 8, 12264, 101, 320, 83193, 33, 340, 1163, 8477, 25, 1819, 33, 75078, 426, 8, 75078, 1630, 8, 12264, 101, 320, 83193, 33, 696, 3883, 512, 7, 83193, 33, 8, 12264, 101, 1819, 33, 75078, 426, 8, 75078, 1630, 340, 5462, 75078, 320, 33, 75078, 1630, 595, 12264, 101, 320, 83193, 33, 340, 5462, 75078, 1630, 8, 12264, 101, 320, 83193, 33, 340, 1163, 8477, 25, 320, 33, 75078, 320, 33, 75078, 1630, 595, 12264, 101, 320, 83193, 33, 8], "tokenizer": "cl100k_base", "tokens_len": 695, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2227 B) \u2227 (B \u2228 0)) \u2228 (\u00ac(B \u2227 B))\n\nOptions:\n(\u00ac(B \u2227 B)) \u2228 ((X \u2227 B) \u2227 (B \u2228 0))\n((X \u2227 B) \u2227 (B \u2228 0)) \u2228 ((\u00acB) \u2228 (\u00acB))\n((X \u2227 B) \u2227 (B \u2228 0)) \u2228 (\u00acB)\n((B \u2228 0) \u2227 (X \u2227 B)) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 (B \u2227 (B \u2228 0))) \u2228 (\u00ac(B \u2227 B))\n(((X \u2227 B) \u2227 B) \u2228 ((X \u2227 B) \u2227 0)) \u2228 (\u00ac(B \u2227 B))\n((X \u2227 B) \u2227 B) \u2228 (\u00ac(B \u2227 B))\n((X \u2227 B) \u2227 (0 \u2228 B)) \u2228 (\u00ac(B \u2227 B))\n((B \u2227 X) \u2227 (B \u2228 0)) \u2228 (\u00ac(B \u2227 B))\nChosen: (X \u2227 (B \u2227 (B \u2228 0))) \u2228 (\u00ac(B \u2227 B))\n\nOptions:\n(\u00ac(B \u2227 B)) \u2228 (X \u2227 (B \u2227 (B \u2228 0)))\n(X \u2227 (B \u2227 (B \u2228 0))) \u2228 ((\u00acB) \u2228 (\u00acB))\n(X \u2227 (B \u2227 (B \u2228 0))) \u2228 (\u00acB)\n((B \u2227 (B \u2228 0)) \u2227 X) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 ((B \u2228 0) \u2227 B)) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 ((B \u2227 B) \u2228 (B \u2227 0))) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 (B \u2227 B)) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 (B \u2227 (0 \u2228 B))) \u2228 (\u00ac(B \u2227 B))\nChosen: (X \u2227 (B \u2227 B)) \u2228 (\u00ac(B \u2227 B))\n\nOptions:\n(\u00ac(B \u2227 B)) \u2228 (X \u2227 (B \u2227 B))\n(X \u2227 (B \u2227 B)) \u2228 ((\u00acB) \u2228 (\u00acB))\n(X \u2227 (B \u2227 B)) \u2228 (\u00acB)\n((B \u2227 B) \u2227 X) \u2228 (\u00ac(B \u2227 B))\n((X \u2227 B) \u2227 B) \u2228 (\u00ac(B \u2227 B))\n(X \u2227 B) \u2228 (\u00ac(B \u2227 B))\nChosen: (X \u2227 (B \u2227 B)) \u2228 (\u00acB)\n\nOptions:\n(\u00acB) \u2228 (X \u2227 (B \u2227 B))\n((B \u2227 B) \u2227 X) \u2228 (\u00acB)\n((X \u2227 B) \u2227 B) \u2228 (\u00acB)\n(X \u2227 B) \u2228 (\u00acB)\nChosen: ((B \u2227 B) \u2227 X) \u2228 (\u00acB)\n\nOptions:\n(\u00acB) \u2228 ((B \u2227 B) \u2227 X)\n(B \u2227 (B \u2227 X)) \u2228 (\u00acB)\n(B \u2227 X) \u2228 (\u00acB)\nChosen: (B \u2227 (B \u2227 X)) \u2228 (\u00acB)", "id": 1763}, {"char_len": 1991, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 1192, 6774, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 43, 12264, 101, 356, 595, 12264, 101, 320, 83193, 15, 340, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 43, 12264, 101, 356, 1192, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 43, 12264, 101, 320, 34, 12264, 101, 320, 83193, 15, 6054, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 220, 16, 340, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 220, 16, 8, 75078, 320, 43, 12264, 101, 220, 15, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 43, 12264, 101, 220, 15, 8, 75078, 445, 8, 75078, 220, 16, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 12264, 101, 220, 15, 8, 75078, 445, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 12264, 101, 445, 8, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 43, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 43, 75078, 320, 43, 75078, 220, 16, 1192, 1209, 43, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 43, 12264, 101, 356, 595, 12264, 101, 320, 83193, 15, 340, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 43, 12264, 101, 356, 1192, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 43, 12264, 101, 320, 34, 12264, 101, 320, 83193, 15, 6054, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 220, 16, 340, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 445, 8, 75078, 220, 16, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 445, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 43, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 43, 75078, 320, 43, 75078, 220, 16, 1192, 1209, 43, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 34, 12264, 101, 445, 595, 12264, 101, 320, 83193, 15, 340, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 34, 12264, 101, 445, 1192, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 320, 34, 12264, 101, 320, 43, 12264, 101, 320, 83193, 15, 6054, 5063, 75078, 320, 43, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 220, 16, 340, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 445, 8, 75078, 220, 16, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 43, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 43, 75078, 320, 16, 75078, 445, 1192, 1209, 43, 75078, 320, 16, 75078, 445, 595, 12264, 101, 320, 34, 12264, 101, 445, 595, 12264, 101, 320, 83193, 15, 340, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 34, 12264, 101, 445, 1192, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 320, 34, 12264, 101, 320, 43, 12264, 101, 320, 83193, 15, 6054, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 220, 16, 340, 5063, 75078, 320, 16, 75078, 445, 595, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 445, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 1819, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 43, 75078, 220, 16, 8, 75078, 445, 340, 6774, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 320, 34, 12264, 101, 445, 595, 12264, 101, 320, 83193, 15, 340, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 34, 12264, 101, 445, 1192, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 320, 34, 12264, 101, 320, 43, 12264, 101, 320, 83193, 15, 6054, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 220, 16, 340, 1209, 43, 75078, 220, 16, 8, 75078, 445, 8, 12264, 101, 1819, 43, 12264, 101, 356, 8, 12264, 101, 320, 83193, 15, 1192, 5063, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 75078, 445, 8, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 43, 75078, 445, 8, 12264, 101, 1819, 34, 12264, 101, 445, 8, 12264, 101, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 1285, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((L \u2228 0) \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n\nOptions:\n((L \u2228 C) \u2228 (\u00ac0)) \u2228 ((L \u2228 0) \u2227 (L \u2227 1))\n(((L \u2228 0) \u2227 (L \u2227 1)) \u2228 (L \u2228 C)) \u2228 (\u00ac0)\n((L \u2228 0) \u2227 (L \u2227 1)) \u2228 ((\u00ac0) \u2228 (L \u2228 C))\n((L \u2228 0) \u2227 (L \u2227 1)) \u2228 (L \u2228 (C \u2228 (\u00ac0)))\n((L \u2228 0) \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 1)\n((L \u2228 0) \u2227 (L \u2227 1)) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n((L \u2227 1) \u2227 (L \u2228 0)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n(((L \u2228 0) \u2227 L) \u2227 1) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n((L \u2228 0) \u2227 L) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n((L \u2228 0) \u2227 (1 \u2227 L)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n(L \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n((0 \u2228 L) \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\nChosen: (L \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n\nOptions:\n((L \u2228 C) \u2228 (\u00ac0)) \u2228 (L \u2227 (L \u2227 1))\n((L \u2227 (L \u2227 1)) \u2228 (L \u2228 C)) \u2228 (\u00ac0)\n(L \u2227 (L \u2227 1)) \u2228 ((\u00ac0) \u2228 (L \u2228 C))\n(L \u2227 (L \u2227 1)) \u2228 (L \u2228 (C \u2228 (\u00ac0)))\n(L \u2227 (L \u2227 1)) \u2228 ((L \u2228 C) \u2228 1)\n(L \u2227 (L \u2227 1)) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n((L \u2227 1) \u2227 L) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n((L \u2227 L) \u2227 1) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n(L \u2227 L) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n(L \u2227 (1 \u2227 L)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\nChosen: (L \u2227 (L \u2227 1)) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n\nOptions:\n((C \u2228 L) \u2228 (\u00ac0)) \u2228 (L \u2227 (L \u2227 1))\n((L \u2227 (L \u2227 1)) \u2228 (C \u2228 L)) \u2228 (\u00ac0)\n(L \u2227 (L \u2227 1)) \u2228 ((\u00ac0) \u2228 (C \u2228 L))\n(L \u2227 (L \u2227 1)) \u2228 (C \u2228 (L \u2228 (\u00ac0)))\n(L \u2227 (L \u2227 1)) \u2228 ((C \u2228 L) \u2228 1)\n((L \u2227 1) \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n((L \u2227 L) \u2227 1) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n(L \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n(L \u2227 (1 \u2227 L)) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\nChosen: (L \u2227 (1 \u2227 L)) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n\nOptions:\n((C \u2228 L) \u2228 (\u00ac0)) \u2228 (L \u2227 (1 \u2227 L))\n((L \u2227 (1 \u2227 L)) \u2228 (C \u2228 L)) \u2228 (\u00ac0)\n(L \u2227 (1 \u2227 L)) \u2228 ((\u00ac0) \u2228 (C \u2228 L))\n(L \u2227 (1 \u2227 L)) \u2228 (C \u2228 (L \u2228 (\u00ac0)))\n(L \u2227 (1 \u2227 L)) \u2228 ((C \u2228 L) \u2228 1)\n(L \u2227 (1 \u2227 L)) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n((1 \u2227 L) \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n((L \u2227 1) \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n(L \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\nChosen: ((L \u2227 1) \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n\nOptions:\n((C \u2228 L) \u2228 (\u00ac0)) \u2228 ((L \u2227 1) \u2227 L)\n(((L \u2227 1) \u2227 L) \u2228 (C \u2228 L)) \u2228 (\u00ac0)\n((L \u2227 1) \u2227 L) \u2228 ((\u00ac0) \u2228 (C \u2228 L))\n((L \u2227 1) \u2227 L) \u2228 (C \u2228 (L \u2228 (\u00ac0)))\n((L \u2227 1) \u2227 L) \u2228 ((C \u2228 L) \u2228 1)\n((L \u2227 1) \u2227 L) \u2228 ((L \u2228 C) \u2228 (\u00ac0))\n(L \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\n((1 \u2227 L) \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))\nChosen: (L \u2227 L) \u2228 ((C \u2228 L) \u2228 (\u00ac0))", "id": 1764}, {"char_len": 507, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 38, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 38, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 38, 1192, 1209, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 38, 595, 75078, 1819, 83193, 7, 83193, 38, 595, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 38, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 38, 1192, 7, 83193, 7, 83193, 38, 595, 12264, 101, 1819, 83193, 38, 8, 75078, 220, 16, 340, 38, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 480, 12264, 101, 1819, 83193, 38, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 38, 8, 75078, 320, 83193, 15, 595, 12264, 101, 480, 198, 6838, 12264, 101, 320, 83193, 38, 595, 75078, 320, 38, 12264, 101, 320, 83193, 15, 1192, 38, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 38, 1192, 38, 12264, 101, 1819, 83193, 38, 8, 75078, 220, 16, 340, 1163, 8477, 25, 480, 12264, 101, 1819, 83193, 38, 8, 75078, 220, 16, 696, 3883, 512, 1209, 83193, 38, 8, 75078, 220, 16, 8, 12264, 101, 480, 198, 6838, 12264, 101, 320, 83193, 38, 595, 75078, 320, 38, 12264, 101, 220, 16, 340, 38, 12264, 101, 320, 83193, 38, 340, 38, 12264, 101, 320, 16, 75078, 320, 83193, 38, 1192, 1163, 8477, 25, 480, 12264, 101, 320, 83193, 38, 696, 3883, 512, 16, 198, 7, 83193, 38, 8, 12264, 101, 480, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 280, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acG)) \u2228 ((\u00acG) \u2227 (\u00ac0))\n\nOptions:\n((\u00acG) \u2227 (\u00ac0)) \u2228 (\u00ac(\u00acG))\n((\u00ac(\u00acG)) \u2228 (\u00acG)) \u2227 ((\u00ac(\u00acG)) \u2228 (\u00ac0))\n(\u00ac(\u00acG)) \u2228 ((\u00ac0) \u2227 (\u00acG))\n(\u00ac(\u00acG)) \u2228 ((\u00acG) \u2227 1)\nG \u2228 ((\u00acG) \u2227 (\u00ac0))\nChosen: G \u2228 ((\u00acG) \u2227 (\u00ac0))\n\nOptions:\n((\u00acG) \u2227 (\u00ac0)) \u2228 G\n(G \u2228 (\u00acG)) \u2227 (G \u2228 (\u00ac0))\nG \u2228 ((\u00ac0) \u2227 (\u00acG))\nG \u2228 ((\u00acG) \u2227 1)\nChosen: G \u2228 ((\u00acG) \u2227 1)\n\nOptions:\n((\u00acG) \u2227 1) \u2228 G\n(G \u2228 (\u00acG)) \u2227 (G \u2228 1)\nG \u2228 (\u00acG)\nG \u2228 (1 \u2227 (\u00acG))\nChosen: G \u2228 (\u00acG)\n\nOptions:\n1\n(\u00acG) \u2228 G\nChosen: 1", "id": 1765}, {"char_len": 1368, "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, 83193, 15, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 6054, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 11861, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 320, 56, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 11861, 56, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 356, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 356, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 320, 16, 75078, 356, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 7861, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 7, 16, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 1209, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 6054, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 11861, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 320, 56, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 11861, 56, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 356, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 356, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 34, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 16, 75078, 356, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 320, 16, 75078, 356, 1192, 16, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 4489, 3883, 512, 16, 198, 1209, 56, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 356, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 56, 12264, 101, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 16, 75078, 356, 1192, 16, 12264, 101, 1819, 16, 75078, 356, 8, 75078, 320, 56, 12264, 101, 220, 16, 1192, 16, 12264, 101, 11861, 56, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 75078, 356, 340, 16, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 356, 340, 16, 12264, 101, 1819, 56, 12264, 101, 220, 16, 8, 75078, 320, 34, 75078, 220, 16, 1192, 16, 12264, 101, 320, 16, 75078, 320, 16, 75078, 356, 1192, 16, 12264, 101, 1819, 16, 12264, 101, 816, 8, 75078, 320, 16, 75078, 356, 1192, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 915, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n\nOptions:\n((Y \u2228 1) \u2227 (1 \u2227 C)) \u2228 ((1 \u2228 1) \u2228 (\u00ac0))\n(1 \u2228 1) \u2228 ((\u00ac0) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C)))\n(((1 \u2228 1) \u2228 (\u00ac0)) \u2228 (Y \u2228 1)) \u2227 (((1 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2227 C))\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2227 C) \u2227 (Y \u2228 1))\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 (((Y \u2228 1) \u2227 1) \u2227 C)\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((Y \u2228 1) \u2227 C)\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((Y \u2228 1) \u2227 (C \u2227 1))\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 (1 \u2227 (1 \u2227 C))\n((1 \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 Y) \u2227 (1 \u2227 C))\n((\u00ac0) \u2228 (1 \u2228 1)) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n(1 \u2228 (1 \u2228 (\u00ac0))) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n((1 \u2228 1) \u2228 1) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n(1 \u2228 (\u00ac0)) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\nChosen: ((1 \u2228 1) \u2228 1) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n\nOptions:\n((Y \u2228 1) \u2227 (1 \u2227 C)) \u2228 ((1 \u2228 1) \u2228 1)\n(1 \u2228 1) \u2228 (1 \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C)))\n(((1 \u2228 1) \u2228 1) \u2228 (Y \u2228 1)) \u2227 (((1 \u2228 1) \u2228 1) \u2228 (1 \u2227 C))\n((1 \u2228 1) \u2228 1) \u2228 ((1 \u2227 C) \u2227 (Y \u2228 1))\n((1 \u2228 1) \u2228 1) \u2228 (((Y \u2228 1) \u2227 1) \u2227 C)\n((1 \u2228 1) \u2228 1) \u2228 ((Y \u2228 1) \u2227 C)\n((1 \u2228 1) \u2228 1) \u2228 ((Y \u2228 1) \u2227 (C \u2227 1))\n((1 \u2228 1) \u2228 1) \u2228 (1 \u2227 (1 \u2227 C))\n((1 \u2228 1) \u2228 1) \u2228 ((1 \u2228 Y) \u2227 (1 \u2227 C))\n1 \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n(1 \u2228 (1 \u2228 1)) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n(1 \u2228 1) \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\nChosen: 1 \u2228 ((Y \u2228 1) \u2227 (1 \u2227 C))\n\nOptions:\n1\n((Y \u2228 1) \u2227 (1 \u2227 C)) \u2228 1\n(1 \u2228 (Y \u2228 1)) \u2227 (1 \u2228 (1 \u2227 C))\n1 \u2228 ((1 \u2227 C) \u2227 (Y \u2228 1))\n1 \u2228 (((Y \u2228 1) \u2227 1) \u2227 C)\n1 \u2228 ((Y \u2228 1) \u2227 C)\n1 \u2228 ((Y \u2228 1) \u2227 (C \u2227 1))\n1 \u2228 (1 \u2227 (1 \u2227 C))\n1 \u2228 ((1 \u2228 Y) \u2227 (1 \u2227 C))\nChosen: 1", "id": 1766}, {"char_len": 4424, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 52, 75078, 622, 8, 12264, 101, 320, 41, 75078, 549, 595, 12264, 101, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 41, 75078, 549, 4489, 3883, 512, 1209, 52, 12264, 101, 220, 16, 8, 75078, 320, 41, 75078, 549, 595, 12264, 101, 1819, 52, 75078, 622, 8, 12264, 101, 320, 41, 75078, 549, 1192, 12597, 75078, 622, 8, 12264, 101, 1819, 41, 75078, 549, 8, 12264, 101, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 41, 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11861, 41, 75078, 549, 8, 12264, 101, 320, 52, 75078, 622, 595, 12264, 101, 320, 41, 75078, 549, 1192, 6774, 41, 75078, 549, 8, 12264, 101, 320, 52, 75078, 622, 595, 12264, 101, 220, 16, 8, 75078, 11861, 41, 75078, 549, 8, 12264, 101, 320, 52, 75078, 622, 595, 12264, 101, 320, 41, 75078, 549, 1192, 6774, 52, 75078, 622, 8, 12264, 101, 320, 41, 75078, 549, 595, 12264, 101, 220, 16, 8, 75078, 11861, 41, 75078, 549, 8, 12264, 101, 320, 52, 75078, 622, 595, 12264, 101, 320, 41, 75078, 549, 1192, 1163, 8477, 25, 220, 16, 75078, 11861, 41, 75078, 549, 8, 12264, 101, 320, 52, 75078, 622, 595, 12264, 101, 320, 41, 75078, 549, 595], "tokenizer": "cl100k_base", "tokens_len": 2650, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((U \u2228 1) \u2227 (J \u2227 U))\n\nOptions:\n((U \u2228 1) \u2227 (J \u2227 U)) \u2228 ((U \u2227 J) \u2228 (J \u2227 U))\n(U \u2227 J) \u2228 ((J \u2227 U) \u2228 ((U \u2228 1) \u2227 (J \u2227 U)))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (U \u2228 1)) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((J \u2227 U) \u2227 (U \u2228 1))\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (((U \u2228 1) \u2227 J) \u2227 U)\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((U \u2228 1) \u2227 (U \u2227 J))\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (1 \u2227 (J \u2227 U))\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((1 \u2228 U) \u2227 (J \u2227 U))\n((J \u2227 U) \u2228 (U \u2227 J)) \u2228 ((U \u2228 1) \u2227 (J \u2227 U))\n(((U \u2227 J) \u2228 J) \u2227 ((U \u2227 J) \u2228 U)) \u2228 ((U \u2228 1) \u2227 (J \u2227 U))\n((U \u2227 J) \u2228 (U \u2227 J)) \u2228 ((U \u2228 1) \u2227 (J \u2227 U))\n((J \u2227 U) \u2228 (J \u2227 U)) \u2228 ((U \u2228 1) \u2227 (J \u2227 U))\nChosen: ((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (1 \u2227 (J \u2227 U))\n\nOptions:\n(1 \u2227 (J \u2227 U)) \u2228 ((U \u2227 J) \u2228 (J \u2227 U))\n(U \u2227 J) \u2228 ((J \u2227 U) \u2228 (1 \u2227 (J \u2227 U)))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U)\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((J \u2227 U) \u2227 1)\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 ((1 \u2227 J) \u2227 U)\n((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (1 \u2227 (U \u2227 J))\n((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (1 \u2227 (J \u2227 U))\n(((U \u2227 J) \u2228 J) \u2227 ((U \u2227 J) \u2228 U)) \u2228 (1 \u2227 (J \u2227 U))\n((U \u2227 J) \u2228 (U \u2227 J)) \u2228 (1 \u2227 (J \u2227 U))\n((J \u2227 U) \u2228 (J \u2227 U)) \u2228 (1 \u2227 (J \u2227 U))\nChosen: (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n\nOptions:\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U)) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1)\n((((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((U \u2227 J) \u2228 (J \u2227 U))) \u2228 ((((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (J \u2227 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((J \u2227 U) \u2228 ((U \u2227 J) \u2228 (J \u2227 U)))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((U \u2227 J) \u2228 ((J \u2227 U) \u2228 (J \u2227 U)))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((U \u2227 J) \u2228 (J \u2227 U)) \u2228 J) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (U \u2227 J))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((U \u2227 J) \u2228 J) \u2227 ((U \u2227 J) \u2228 U)) \u2228 (J \u2227 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n1 \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(1 \u2228 ((U \u2227 J) \u2228 (J \u2227 U))) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((U \u2227 J) \u2228 ((J \u2227 U) \u2228 1)) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (U \u2227 J)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((((U \u2227 J) \u2228 J) \u2227 ((U \u2227 J) \u2228 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(((U \u2227 J) \u2228 (U \u2227 J)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\nChosen: (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n\nOptions:\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U)) \u2227 (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1)\n((((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((U \u2227 J) \u2228 (J \u2227 U))) \u2228 ((((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((J \u2227 U) \u2228 ((U \u2227 J) \u2228 (J \u2227 U)))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((U \u2227 J) \u2228 ((J \u2227 U) \u2228 (J \u2227 U)))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((U \u2227 J) \u2228 (J \u2227 U)) \u2228 J) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (U \u2227 J))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((U \u2227 J) \u2228 J) \u2227 ((U \u2227 J) \u2228 U)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n1 \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(1 \u2228 ((J \u2227 U) \u2228 (J \u2227 U))) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((J \u2227 U) \u2228 ((J \u2227 U) \u2228 1)) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n((((J \u2227 U) \u2228 J) \u2227 ((J \u2227 U) \u2228 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (U \u2227 J)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\nChosen: (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n\nOptions:\n(((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U)) \u2227 (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1)\n((((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((J \u2227 U) \u2228 (U \u2227 J))) \u2228 ((((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((J \u2227 U) \u2228 ((J \u2227 U) \u2228 (U \u2227 J)))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((J \u2227 U) \u2228 ((U \u2227 J) \u2228 (J \u2227 U)))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((J \u2227 U) \u2228 (U \u2227 J)) \u2228 J) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (U \u2227 J))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 ((((J \u2227 U) \u2228 U) \u2227 ((J \u2227 U) \u2228 J)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (J \u2227 U)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((U \u2227 J) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n1 \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(1 \u2228 ((J \u2227 U) \u2228 (J \u2227 U))) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n((J \u2227 U) \u2228 ((J \u2227 U) \u2228 1)) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n((((J \u2227 U) \u2228 J) \u2227 ((J \u2227 U) \u2228 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((J \u2227 U) \u2228 (U \u2227 J)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\n(((U \u2227 J) \u2228 (J \u2227 U)) \u2228 1) \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))\nChosen: 1 \u2227 (((J \u2227 U) \u2228 (U \u2227 J)) \u2228 (J \u2227 U))", "id": 1767}, {"char_len": 321, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 53, 8, 12264, 101, 320, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 53, 595, 75078, 320, 83193, 7, 83193, 53, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 53, 595, 75078, 320, 83193, 7, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 53, 595, 75078, 650, 198, 53, 75078, 320, 83193, 7, 83193, 53, 1192, 1163, 8477, 25, 650, 75078, 320, 83193, 7, 83193, 53, 4489, 3883, 512, 7, 83193, 7, 83193, 53, 595, 75078, 650, 198, 53, 75078, 650, 198, 1163, 8477, 25, 320, 83193, 7, 83193, 53, 595, 75078, 650, 271, 3883, 512, 53, 75078, 650, 198, 1163, 8477, 25, 650, 75078, 650, 271, 3883, 512, 53, 198, 1163, 8477, 25, 650], "tokenizer": "cl100k_base", "tokens_len": 138, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00acV) \u2228 (\u00acV))\n\nOptions:\n(\u00ac(\u00acV)) \u2227 (\u00ac(\u00acV))\nChosen: (\u00ac(\u00acV)) \u2227 (\u00ac(\u00acV))\n\nOptions:\n(\u00ac(\u00acV)) \u2227 V\nV \u2227 (\u00ac(\u00acV))\nChosen: V \u2227 (\u00ac(\u00acV))\n\nOptions:\n(\u00ac(\u00acV)) \u2227 V\nV \u2227 V\nChosen: (\u00ac(\u00acV)) \u2227 V\n\nOptions:\nV \u2227 V\nChosen: V \u2227 V\n\nOptions:\nV\nChosen: V", "id": 1768}, {"char_len": 845, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 43, 75078, 735, 595, 75078, 320, 83193, 7, 43, 12264, 101, 735, 4489, 3883, 512, 7, 83193, 7, 43, 12264, 101, 735, 595, 75078, 320, 83193, 7, 43, 75078, 735, 1192, 7, 83193, 7, 43, 75078, 735, 595, 75078, 1819, 83193, 43, 8, 75078, 320, 83193, 42, 1192, 7, 83193, 7, 43, 75078, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 445, 1192, 1209, 83193, 43, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 43, 12264, 101, 735, 1192, 7, 83193, 7, 42, 75078, 445, 595, 75078, 320, 83193, 7, 43, 12264, 101, 735, 1192, 1163, 8477, 25, 320, 83193, 7, 43, 12264, 101, 735, 595, 75078, 320, 83193, 7, 43, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 43, 12264, 101, 735, 595, 75078, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 42, 1192, 7, 83193, 7, 43, 12264, 101, 735, 595, 75078, 320, 83193, 7, 42, 75078, 445, 1192, 1209, 83193, 43, 8, 75078, 320, 83193, 42, 595, 75078, 320, 83193, 7, 43, 75078, 735, 1192, 7, 83193, 7, 42, 12264, 101, 445, 595, 75078, 320, 83193, 7, 43, 75078, 735, 1192, 1163, 8477, 25, 320, 83193, 7, 43, 12264, 101, 735, 595, 75078, 320, 83193, 7, 42, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 42, 75078, 445, 595, 75078, 320, 83193, 7, 43, 12264, 101, 735, 1192, 7, 83193, 7, 43, 12264, 101, 735, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 43, 1192, 1209, 83193, 43, 8, 75078, 320, 83193, 42, 595, 75078, 320, 83193, 7, 42, 75078, 445, 1192, 7, 83193, 7, 42, 12264, 101, 445, 595, 75078, 320, 83193, 7, 42, 75078, 445, 1192, 1163, 8477, 25, 320, 83193, 7, 42, 12264, 101, 445, 595, 75078, 320, 83193, 7, 42, 75078, 445, 4489, 3883, 512, 7, 83193, 7, 42, 75078, 445, 595, 75078, 320, 83193, 7, 42, 12264, 101, 445, 1192, 7, 83193, 7, 42, 12264, 101, 445, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 43, 1192, 7, 83193, 7, 42, 12264, 101, 445, 595, 75078, 320, 83193, 7, 43, 75078, 735, 1192, 1209, 83193, 42, 8, 75078, 320, 83193, 43, 595, 75078, 320, 83193, 7, 42, 75078, 445, 1192, 1163, 8477, 25, 320, 83193, 7, 42, 12264, 101, 445, 595, 75078, 320, 83193, 7, 43, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 43, 75078, 735, 595, 75078, 320, 83193, 7, 42, 12264, 101, 445, 1192, 7, 83193, 7, 42, 12264, 101, 445, 595, 75078, 1819, 83193, 43, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 75078, 320, 83193, 43, 595, 75078, 320, 83193, 7, 43, 75078, 735, 1192, 1163, 8477, 25, 1819, 83193, 42, 8, 75078, 320, 83193, 43, 595, 75078, 320, 83193, 7, 43, 75078, 735, 595], "tokenizer": "cl100k_base", "tokens_len": 480, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(L \u2227 K)) \u2227 (\u00ac(L \u2228 K))\n\nOptions:\n(\u00ac(L \u2228 K)) \u2227 (\u00ac(L \u2227 K))\n(\u00ac(L \u2227 K)) \u2227 ((\u00acL) \u2227 (\u00acK))\n(\u00ac(L \u2227 K)) \u2227 (\u00ac(K \u2228 L))\n((\u00acL) \u2228 (\u00acK)) \u2227 (\u00ac(L \u2228 K))\n(\u00ac(K \u2227 L)) \u2227 (\u00ac(L \u2228 K))\nChosen: (\u00ac(L \u2228 K)) \u2227 (\u00ac(L \u2227 K))\n\nOptions:\n(\u00ac(L \u2228 K)) \u2227 ((\u00acL) \u2228 (\u00acK))\n(\u00ac(L \u2228 K)) \u2227 (\u00ac(K \u2227 L))\n((\u00acL) \u2227 (\u00acK)) \u2227 (\u00ac(L \u2227 K))\n(\u00ac(K \u2228 L)) \u2227 (\u00ac(L \u2227 K))\nChosen: (\u00ac(L \u2228 K)) \u2227 (\u00ac(K \u2227 L))\n\nOptions:\n(\u00ac(K \u2227 L)) \u2227 (\u00ac(L \u2228 K))\n(\u00ac(L \u2228 K)) \u2227 ((\u00acK) \u2228 (\u00acL))\n((\u00acL) \u2227 (\u00acK)) \u2227 (\u00ac(K \u2227 L))\n(\u00ac(K \u2228 L)) \u2227 (\u00ac(K \u2227 L))\nChosen: (\u00ac(K \u2228 L)) \u2227 (\u00ac(K \u2227 L))\n\nOptions:\n(\u00ac(K \u2227 L)) \u2227 (\u00ac(K \u2228 L))\n(\u00ac(K \u2228 L)) \u2227 ((\u00acK) \u2228 (\u00acL))\n(\u00ac(K \u2228 L)) \u2227 (\u00ac(L \u2227 K))\n((\u00acK) \u2227 (\u00acL)) \u2227 (\u00ac(K \u2227 L))\nChosen: (\u00ac(K \u2228 L)) \u2227 (\u00ac(L \u2227 K))\n\nOptions:\n(\u00ac(L \u2227 K)) \u2227 (\u00ac(K \u2228 L))\n(\u00ac(K \u2228 L)) \u2227 ((\u00acL) \u2228 (\u00acK))\n((\u00acK) \u2227 (\u00acL)) \u2227 (\u00ac(L \u2227 K))\nChosen: ((\u00acK) \u2227 (\u00acL)) \u2227 (\u00ac(L \u2227 K))", "id": 1769}, {"char_len": 1253, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 75078, 549, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 549, 1192, 1209, 83193, 7, 15, 75078, 549, 595, 75078, 320, 83193, 53, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 7, 15, 75078, 549, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 1192, 7, 83193, 7, 15, 75078, 549, 595, 75078, 11861, 83193, 53, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 15, 75078, 549, 595, 75078, 1819, 83193, 53, 8, 75078, 220, 15, 340, 7, 83193, 7, 15, 75078, 549, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 52, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 52, 75078, 220, 15, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 7, 52, 75078, 220, 15, 1192, 1209, 83193, 7, 52, 75078, 220, 15, 595, 75078, 320, 83193, 53, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 1192, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 11861, 83193, 53, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 1819, 83193, 53, 8, 75078, 220, 15, 340, 7, 83193, 7, 52, 75078, 220, 15, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 52, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 53, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 1192, 7, 83193, 15, 8, 75078, 11861, 83193, 53, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 83193, 53, 8, 75078, 220, 15, 340, 7, 83193, 15, 8, 75078, 1819, 83193, 53, 8, 75078, 320, 16, 75078, 220, 15, 1192, 16, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 53, 340, 7, 83193, 15, 8, 75078, 320, 15, 75078, 320, 16, 75078, 320, 83193, 53, 6054, 7, 83193, 15, 8, 75078, 320, 15, 75078, 320, 83193, 53, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 53, 1192, 16, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 220, 16, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 4489, 3883, 512, 7, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 340, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 53, 595, 75078, 220, 16, 198, 7, 16, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 53, 340, 16, 75078, 1819, 83193, 53, 8, 75078, 320, 15, 75078, 220, 16, 1192, 16, 75078, 320, 15, 75078, 320, 16, 75078, 320, 83193, 53, 6054, 16, 75078, 320, 15, 75078, 320, 83193, 53, 1192, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 83193, 53, 1192, 1163, 8477, 25, 220, 16, 75078, 320, 15, 75078, 320, 83193, 53, 595], "tokenizer": "cl100k_base", "tokens_len": 746, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2227 U)) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n\nOptions:\n((\u00acV) \u2227 (0 \u2227 1)) \u2227 (\u00ac(0 \u2227 U))\n((\u00ac(0 \u2227 U)) \u2227 (\u00acV)) \u2227 (0 \u2227 1)\n(\u00ac(0 \u2227 U)) \u2227 ((0 \u2227 1) \u2227 (\u00acV))\n(\u00ac(0 \u2227 U)) \u2227 (((\u00acV) \u2227 0) \u2227 1)\n(\u00ac(0 \u2227 U)) \u2227 ((\u00acV) \u2227 0)\n(\u00ac(0 \u2227 U)) \u2227 ((\u00acV) \u2227 (1 \u2227 0))\n((\u00ac0) \u2228 (\u00acU)) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n(\u00ac0) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n(\u00ac(U \u2227 0)) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\nChosen: (\u00ac(U \u2227 0)) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n\nOptions:\n((\u00acV) \u2227 (0 \u2227 1)) \u2227 (\u00ac(U \u2227 0))\n((\u00ac(U \u2227 0)) \u2227 (\u00acV)) \u2227 (0 \u2227 1)\n(\u00ac(U \u2227 0)) \u2227 ((0 \u2227 1) \u2227 (\u00acV))\n(\u00ac(U \u2227 0)) \u2227 (((\u00acV) \u2227 0) \u2227 1)\n(\u00ac(U \u2227 0)) \u2227 ((\u00acV) \u2227 0)\n(\u00ac(U \u2227 0)) \u2227 ((\u00acV) \u2227 (1 \u2227 0))\n((\u00acU) \u2228 (\u00ac0)) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n(\u00ac0) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\nChosen: (\u00ac0) \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n\nOptions:\n((\u00acV) \u2227 (0 \u2227 1)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (\u00acV)) \u2227 (0 \u2227 1)\n(\u00ac0) \u2227 ((0 \u2227 1) \u2227 (\u00acV))\n(\u00ac0) \u2227 (((\u00acV) \u2227 0) \u2227 1)\n(\u00ac0) \u2227 ((\u00acV) \u2227 0)\n(\u00ac0) \u2227 ((\u00acV) \u2227 (1 \u2227 0))\n1 \u2227 ((\u00acV) \u2227 (0 \u2227 1))\nChosen: (\u00ac0) \u2227 ((0 \u2227 1) \u2227 (\u00acV))\n\nOptions:\n((0 \u2227 1) \u2227 (\u00acV)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (0 \u2227 1)) \u2227 (\u00acV)\n(\u00ac0) \u2227 (0 \u2227 (1 \u2227 (\u00acV)))\n(\u00ac0) \u2227 (0 \u2227 (\u00acV))\n(\u00ac0) \u2227 ((1 \u2227 0) \u2227 (\u00acV))\n1 \u2227 ((0 \u2227 1) \u2227 (\u00acV))\nChosen: 1 \u2227 ((0 \u2227 1) \u2227 (\u00acV))\n\nOptions:\n(0 \u2227 1) \u2227 (\u00acV)\n((0 \u2227 1) \u2227 (\u00acV)) \u2227 1\n(1 \u2227 (0 \u2227 1)) \u2227 (\u00acV)\n1 \u2227 ((\u00acV) \u2227 (0 \u2227 1))\n1 \u2227 (0 \u2227 (1 \u2227 (\u00acV)))\n1 \u2227 (0 \u2227 (\u00acV))\n1 \u2227 ((1 \u2227 0) \u2227 (\u00acV))\nChosen: 1 \u2227 (0 \u2227 (\u00acV))", "id": 1770}, {"char_len": 1340, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 7, 15, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 426, 595, 75078, 1819, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 1192, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 33, 1192, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 15, 340, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 15, 75078, 423, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 5462, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 423, 7861, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 6774, 33, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 426, 8, 12264, 101, 423, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 1209, 33, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 5462, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 7, 15, 75078, 426, 1192, 1163, 8477, 25, 1819, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 1819, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 1192, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 15, 75078, 423, 595, 75078, 220, 16, 198, 1209, 15, 75078, 423, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 423, 7861, 75078, 320, 83193, 15, 340, 6774, 33, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 1819, 33, 12264, 101, 426, 8, 12264, 101, 423, 595, 75078, 320, 83193, 15, 340, 1209, 33, 12264, 101, 426, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 340, 1209, 33, 12264, 101, 426, 8, 12264, 101, 320, 35, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 15, 75078, 423, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 33, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 423, 7861, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 33, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 423, 6054, 5462, 12264, 101, 320, 33, 12264, 101, 320, 15, 75078, 423, 7861, 75078, 220, 16, 198, 1209, 33, 12264, 101, 320, 15, 75078, 423, 595, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 1819, 15, 75078, 423, 8, 12264, 101, 426, 595, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 1819, 33, 12264, 101, 220, 15, 8, 75078, 320, 33, 12264, 101, 423, 7861, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 33, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 33, 12264, 101, 320, 35, 75078, 220, 15, 7861, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 33, 12264, 101, 1819, 15, 75078, 423, 8, 12264, 101, 426, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 33, 12264, 101, 1819, 15, 75078, 423, 8, 12264, 101, 426, 1192, 5462, 12264, 101, 1819, 15, 75078, 423, 8, 12264, 101, 426, 595, 75078, 220, 16, 198, 6774, 15, 75078, 423, 8, 12264, 101, 426, 8, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 1209, 33, 12264, 101, 320, 15, 75078, 423, 595, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 15, 12264, 101, 426, 595, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 1819, 35, 75078, 220, 15, 8, 12264, 101, 426, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 33, 12264, 101, 320, 15, 12264, 101, 426, 595, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 33, 12264, 101, 320, 15, 12264, 101, 426, 1192, 5462, 12264, 101, 320, 15, 12264, 101, 426, 595, 75078, 220, 16, 198, 1209, 15, 12264, 101, 426, 8, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 1209, 33, 12264, 101, 220, 15, 8, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 426, 8, 75078, 320, 83193, 15, 340, 5462, 12264, 101, 320, 33, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 33, 12264, 101, 320, 33, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 817, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 (\u00ac(0 \u2227 B))\n\nOptions:\n(\u00ac(0 \u2227 B)) \u2227 ((B \u2228 B) \u2228 (0 \u2227 D))\n((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 ((\u00ac0) \u2228 (\u00acB))\n((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 (\u00ac0)\n((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 (\u00ac(B \u2227 0))\n((0 \u2227 D) \u2228 (B \u2228 B)) \u2227 (\u00ac(0 \u2227 B))\n(B \u2228 (B \u2228 (0 \u2227 D))) \u2227 (\u00ac(0 \u2227 B))\n(((B \u2228 B) \u2228 0) \u2227 ((B \u2228 B) \u2228 D)) \u2227 (\u00ac(0 \u2227 B))\n((B \u2228 B) \u2228 0) \u2227 (\u00ac(0 \u2227 B))\n((B \u2228 B) \u2228 (D \u2227 0)) \u2227 (\u00ac(0 \u2227 B))\n(B \u2228 (0 \u2227 D)) \u2227 (\u00ac(0 \u2227 B))\nChosen: ((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 ((B \u2228 B) \u2228 (0 \u2227 D))\n((B \u2228 B) \u2228 (0 \u2227 D)) \u2227 1\n((0 \u2227 D) \u2228 (B \u2228 B)) \u2227 (\u00ac0)\n(B \u2228 (B \u2228 (0 \u2227 D))) \u2227 (\u00ac0)\n(((B \u2228 B) \u2228 0) \u2227 ((B \u2228 B) \u2228 D)) \u2227 (\u00ac0)\n((B \u2228 B) \u2228 0) \u2227 (\u00ac0)\n((B \u2228 B) \u2228 (D \u2227 0)) \u2227 (\u00ac0)\n(B \u2228 (0 \u2227 D)) \u2227 (\u00ac0)\nChosen: (B \u2228 (B \u2228 (0 \u2227 D))) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (B \u2228 (B \u2228 (0 \u2227 D)))\n(B \u2228 (B \u2228 (0 \u2227 D))) \u2227 1\n((B \u2228 (0 \u2227 D)) \u2228 B) \u2227 (\u00ac0)\n(B \u2228 ((0 \u2227 D) \u2228 B)) \u2227 (\u00ac0)\n(B \u2228 ((B \u2228 0) \u2227 (B \u2228 D))) \u2227 (\u00ac0)\n(B \u2228 (B \u2228 0)) \u2227 (\u00ac0)\n(B \u2228 (B \u2228 (D \u2227 0))) \u2227 (\u00ac0)\nChosen: (B \u2228 ((0 \u2227 D) \u2228 B)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (B \u2228 ((0 \u2227 D) \u2228 B))\n(B \u2228 ((0 \u2227 D) \u2228 B)) \u2227 1\n(((0 \u2227 D) \u2228 B) \u2228 B) \u2227 (\u00ac0)\n((B \u2228 (0 \u2227 D)) \u2228 B) \u2227 (\u00ac0)\n(B \u2228 (0 \u2228 B)) \u2227 (\u00ac0)\n(B \u2228 ((D \u2227 0) \u2228 B)) \u2227 (\u00ac0)\nChosen: (B \u2228 (0 \u2228 B)) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (B \u2228 (0 \u2228 B))\n(B \u2228 (0 \u2228 B)) \u2227 1\n((0 \u2228 B) \u2228 B) \u2227 (\u00ac0)\n((B \u2228 0) \u2228 B) \u2227 (\u00ac0)\n(B \u2228 B) \u2227 (\u00ac0)\n(B \u2228 (B \u2228 0)) \u2227 (\u00ac0)\nChosen: (B \u2228 (B \u2228 0)) \u2227 (\u00ac0)", "id": 1771}, {"char_len": 842, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 36, 8, 75078, 320, 16, 75078, 468, 595, 12264, 101, 320, 83193, 7, 83193, 54, 4489, 3883, 512, 7, 83193, 7, 83193, 54, 595, 12264, 101, 1819, 83193, 36, 8, 75078, 320, 16, 75078, 468, 1192, 1209, 83193, 36, 8, 75078, 320, 16, 75078, 468, 595, 12264, 101, 468, 198, 1209, 16, 75078, 468, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 6774, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 83193, 36, 8, 75078, 468, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 83193, 36, 8, 75078, 320, 54, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1163, 8477, 25, 11861, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 8, 12264, 101, 320, 83193, 7, 83193, 54, 4489, 3883, 512, 7, 83193, 7, 83193, 54, 595, 12264, 101, 11861, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 340, 6774, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 8, 12264, 101, 468, 198, 14358, 75078, 1819, 83193, 36, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 83193, 36, 8, 75078, 468, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1209, 16, 75078, 320, 83193, 36, 595, 75078, 468, 8, 12264, 101, 320, 83193, 7, 83193, 54, 1192, 1163, 8477, 25, 11861, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 8, 12264, 101, 468, 271, 3883, 512, 54, 12264, 101, 11861, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 340, 14358, 75078, 1819, 83193, 36, 8, 75078, 220, 16, 595, 12264, 101, 468, 198, 1209, 83193, 36, 8, 75078, 320, 16, 75078, 468, 595, 12264, 101, 468, 198, 1209, 83193, 36, 8, 75078, 468, 8, 12264, 101, 468, 198, 1209, 16, 75078, 320, 83193, 36, 595, 75078, 468, 8, 12264, 101, 468, 198, 1163, 8477, 25, 468, 12264, 101, 11861, 83193, 36, 8, 75078, 220, 16, 8, 75078, 468, 696, 3883, 512, 14358, 12264, 101, 1819, 83193, 36, 8, 75078, 220, 16, 595, 75078, 320, 54, 12264, 101, 468, 340, 54, 12264, 101, 320, 54, 75078, 1819, 83193, 36, 8, 75078, 220, 16, 1192, 54, 12264, 101, 1819, 83193, 36, 8, 75078, 320, 16, 75078, 468, 1192, 54, 12264, 101, 1819, 83193, 36, 8, 75078, 468, 340, 54, 12264, 101, 1819, 16, 75078, 320, 83193, 36, 595, 75078, 468, 340, 1163, 8477, 25, 468, 12264, 101, 1819, 83193, 36, 8, 75078, 468, 696, 3883, 512, 1209, 83193, 36, 8, 75078, 468, 8, 12264, 101, 468, 198, 14358, 12264, 101, 320, 83193, 36, 595, 75078, 320, 54, 12264, 101, 468, 340, 54, 12264, 101, 320, 54, 75078, 320, 83193, 36, 1192, 1163, 8477, 25, 1819, 83193, 36, 8, 75078, 468, 8, 12264, 101, 468], "tokenizer": "cl100k_base", "tokens_len": 487, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acE) \u2227 (1 \u2227 W)) \u2228 (\u00ac(\u00acW))\n\nOptions:\n(\u00ac(\u00acW)) \u2228 ((\u00acE) \u2227 (1 \u2227 W))\n((\u00acE) \u2227 (1 \u2227 W)) \u2228 W\n((1 \u2227 W) \u2227 (\u00acE)) \u2228 (\u00ac(\u00acW))\n(((\u00acE) \u2227 1) \u2227 W) \u2228 (\u00ac(\u00acW))\n((\u00acE) \u2227 W) \u2228 (\u00ac(\u00acW))\n((\u00acE) \u2227 (W \u2227 1)) \u2228 (\u00ac(\u00acW))\nChosen: (((\u00acE) \u2227 1) \u2227 W) \u2228 (\u00ac(\u00acW))\n\nOptions:\n(\u00ac(\u00acW)) \u2228 (((\u00acE) \u2227 1) \u2227 W)\n(((\u00acE) \u2227 1) \u2227 W) \u2228 W\n(W \u2227 ((\u00acE) \u2227 1)) \u2228 (\u00ac(\u00acW))\n((\u00acE) \u2227 W) \u2228 (\u00ac(\u00acW))\n((1 \u2227 (\u00acE)) \u2227 W) \u2228 (\u00ac(\u00acW))\nChosen: (((\u00acE) \u2227 1) \u2227 W) \u2228 W\n\nOptions:\nW \u2228 (((\u00acE) \u2227 1) \u2227 W)\n(W \u2227 ((\u00acE) \u2227 1)) \u2228 W\n((\u00acE) \u2227 (1 \u2227 W)) \u2228 W\n((\u00acE) \u2227 W) \u2228 W\n((1 \u2227 (\u00acE)) \u2227 W) \u2228 W\nChosen: W \u2228 (((\u00acE) \u2227 1) \u2227 W)\n\nOptions:\n(W \u2228 ((\u00acE) \u2227 1)) \u2227 (W \u2228 W)\nW \u2228 (W \u2227 ((\u00acE) \u2227 1))\nW \u2228 ((\u00acE) \u2227 (1 \u2227 W))\nW \u2228 ((\u00acE) \u2227 W)\nW \u2228 ((1 \u2227 (\u00acE)) \u2227 W)\nChosen: W \u2228 ((\u00acE) \u2227 W)\n\nOptions:\n((\u00acE) \u2227 W) \u2228 W\n(W \u2228 (\u00acE)) \u2227 (W \u2228 W)\nW \u2228 (W \u2227 (\u00acE))\nChosen: ((\u00acE) \u2227 W) \u2228 W", "id": 1772}, {"char_len": 5492, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 35, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 35, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 32, 12264, 101, 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32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 423, 8, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 423, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 15, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 1192, 67944, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 320, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 26843, 75078, 52200, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 23631, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 220, 16, 8, 75078, 220, 15, 340, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 220, 15, 340, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 15, 75078, 220, 16, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 11861, 15, 12264, 101, 320, 83193, 16, 595, 12264, 101, 362, 8, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 67944, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 423, 8, 75078, 220, 16, 8, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 423, 8, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 423, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 15, 12264, 101, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 15, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 15, 12264, 101, 320, 83193, 16, 7861, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 32, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 12264, 101, 1819, 32, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 3776, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((A \u2228 0) \u2228 (\u00ac1)) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\n\nOptions:\n((D \u2227 1) \u2228 (0 \u2227 1)) \u2227 ((A \u2228 0) \u2228 (\u00ac1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 ((0 \u2227 1) \u2228 (D \u2227 1))\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 (((D \u2227 1) \u2228 0) \u2227 ((D \u2227 1) \u2228 1))\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 ((D \u2227 1) \u2228 0)\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 ((D \u2227 1) \u2228 (1 \u2227 0))\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2228 (0 \u2227 1))\n((A \u2228 0) \u2228 (\u00ac1)) \u2227 ((1 \u2227 D) \u2228 (0 \u2227 1))\n((\u00ac1) \u2228 (A \u2228 0)) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\n(A \u2228 (0 \u2228 (\u00ac1))) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\n((A \u2228 0) \u2228 0) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\n(A \u2228 (\u00ac1)) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\n((0 \u2228 A) \u2228 (\u00ac1)) \u2227 ((D \u2227 1) \u2228 (0 \u2227 1))\nChosen: (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n\nOptions:\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1))\n((((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 0) \u2228 (\u00ac1))) \u2227 ((((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((0 \u2227 1) \u2227 ((A \u2228 0) \u2228 (\u00ac1)))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((((A \u2228 0) \u2228 (\u00ac1)) \u2227 0) \u2227 1)\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 0)\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((\u00ac1) \u2228 (A \u2228 0)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 0) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((0 \u2228 A) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n((D \u2227 1) \u2227 ((A \u2228 0) \u2228 (\u00ac1))) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n((((A \u2228 0) \u2228 (\u00ac1)) \u2227 D) \u2227 1) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 D) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 D)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((\u00ac1) \u2228 (A \u2228 0)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n((A \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((0 \u2228 A) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\nChosen: (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n\nOptions:\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1))\n((((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 0) \u2228 (\u00ac1))) \u2227 ((((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((1 \u2227 0) \u2227 ((A \u2228 0) \u2228 (\u00ac1)))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((((A \u2228 0) \u2228 (\u00ac1)) \u2227 1) \u2227 0)\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 0)\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((\u00ac1) \u2228 (A \u2228 0)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 0) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((0 \u2228 A) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((D \u2227 1) \u2227 ((A \u2228 0) \u2228 (\u00ac1))) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((((A \u2228 0) \u2228 (\u00ac1)) \u2227 D) \u2227 1) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 D) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 D)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((\u00ac1) \u2228 (A \u2228 0)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((A \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((0 \u2228 A) \u2228 (\u00ac1)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\nChosen: (((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n\nOptions:\n(((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0)) \u2228 (((A \u2228 0) \u2228 0) \u2227 (D \u2227 1))\n((((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 0) \u2228 (\u00ac1))) \u2227 ((((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((1 \u2227 0) \u2227 ((A \u2228 0) \u2228 (\u00ac1)))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((((A \u2228 0) \u2228 (\u00ac1)) \u2227 1) \u2227 0)\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 0)\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((\u00ac1) \u2228 (A \u2228 0)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 0) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((0 \u2228 A) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((D \u2227 1) \u2227 ((A \u2228 0) \u2228 0)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((((A \u2228 0) \u2228 0) \u2227 D) \u2227 1) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 D) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (1 \u2227 D)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((A \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((0 \u2228 (A \u2228 0)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n((A \u2228 (0 \u2228 0)) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((0 \u2228 A) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 0) \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\nChosen: (((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n\nOptions:\n((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0)) \u2228 (((A \u2228 0) \u2228 0) \u2227 (D \u2227 1))\n((((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (A \u2228 (0 \u2228 (\u00ac1)))) \u2227 ((((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((1 \u2227 0) \u2227 (A \u2228 (0 \u2228 (\u00ac1))))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((A \u2228 (0 \u2228 (\u00ac1))) \u2227 1) \u2227 0)\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 0)\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (0 \u2227 1))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 (((0 \u2228 (\u00ac1)) \u2228 A) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (\u00ac1)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 ((\u00ac1) \u2228 0)) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 0)) \u2227 (1 \u2227 0))\n((D \u2227 1) \u2227 ((A \u2228 0) \u2228 0)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n((((A \u2228 0) \u2228 0) \u2227 D) \u2227 1) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 D) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n(((A \u2228 0) \u2228 0) \u2227 (1 \u2227 D)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n((A \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n((0 \u2228 (A \u2228 0)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n((A \u2228 (0 \u2228 0)) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\n(((0 \u2228 A) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (0 \u2228 (\u00ac1))) \u2227 (1 \u2227 0))\nChosen: (((A \u2228 0) \u2228 0) \u2227 (D \u2227 1)) \u2228 ((A \u2228 (\u00ac1)) \u2227 (1 \u2227 0))", "id": 1773}, {"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, 44, 4489, 3883, 512, 83193, 44, 198, 1163, 8477, 25, 97265, 44], "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(\u00acM))\n\nOptions:\n\u00acM\nChosen: \u00acM", "id": 1774}, {"char_len": 186, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 15, 12264, 101, 220, 15, 4489, 3883, 512, 15, 12264, 101, 220, 15, 198, 83193, 1209, 83193, 15, 8, 75078, 320, 83193, 15, 1192, 83193, 7, 83193, 15, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 71, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(0 \u2228 0))\n\nOptions:\n0 \u2228 0\n\u00ac((\u00ac0) \u2227 (\u00ac0))\n\u00ac(\u00ac0)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1775}, {"char_len": 1529, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 35, 4489, 3883, 512, 1209, 15, 75078, 423, 8, 75078, 320, 83193, 35, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 1192, 6774, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 320, 15, 75078, 423, 595, 75078, 320, 83193, 35, 340, 7, 83193, 50, 8, 75078, 1819, 35, 75078, 328, 8, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 35, 6054, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 423, 1192, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 320, 15, 75078, 320, 35, 75078, 320, 83193, 35, 6054, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 320, 15, 75078, 320, 83193, 35, 1192, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 320, 83193, 35, 1192, 1209, 35, 75078, 328, 8, 75078, 320, 83193, 50, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 35, 1192, 6774, 83193, 50, 8, 75078, 423, 8, 75078, 328, 8, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 35, 1192, 1209, 83193, 50, 8, 75078, 320, 50, 75078, 423, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 83193, 35, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 320, 15, 75078, 320, 83193, 35, 4489, 3883, 512, 7, 15, 75078, 320, 83193, 35, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 1192, 6774, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 220, 15, 8, 75078, 320, 83193, 35, 340, 7, 83193, 50, 8, 75078, 1819, 35, 75078, 328, 8, 75078, 320, 15, 75078, 320, 83193, 35, 6054, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 220, 15, 198, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 340, 1209, 35, 75078, 328, 8, 75078, 320, 83193, 50, 595, 75078, 320, 15, 75078, 320, 83193, 35, 1192, 6774, 83193, 50, 8, 75078, 423, 8, 75078, 328, 8, 75078, 320, 15, 75078, 320, 83193, 35, 1192, 1209, 83193, 50, 8, 75078, 320, 50, 75078, 423, 595, 75078, 320, 15, 75078, 320, 83193, 35, 1192, 1163, 8477, 25, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 1192, 6774, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 320, 83193, 35, 595, 75078, 220, 15, 198, 7, 83193, 50, 8, 75078, 1819, 35, 75078, 328, 8, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 1192, 1209, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 220, 15, 198, 1209, 35, 75078, 328, 8, 75078, 320, 83193, 50, 595, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 340, 6774, 83193, 50, 8, 75078, 423, 8, 75078, 328, 8, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 340, 1209, 83193, 50, 8, 75078, 320, 50, 75078, 423, 595, 75078, 1819, 83193, 35, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 35, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 4489, 3883, 512, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 320, 83193, 50, 595, 75078, 320, 35, 75078, 328, 340, 7, 83193, 35, 8, 75078, 320, 15, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 6054, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 1819, 35, 75078, 328, 8, 75078, 320, 83193, 50, 1192, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 11861, 83193, 50, 8, 75078, 423, 8, 75078, 328, 340, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 1819, 83193, 50, 8, 75078, 320, 50, 75078, 423, 1192, 15, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 1192, 7, 15, 75078, 320, 83193, 35, 595, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 1192, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 320, 15, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 19789, 3883, 512, 7, 15, 75078, 1819, 83193, 50, 8, 75078, 320, 35, 75078, 328, 7861, 75078, 320, 83193, 35, 340, 7, 83193, 35, 8, 75078, 220, 15, 198, 7, 83193, 35, 8, 75078, 11861, 83193, 50, 8, 75078, 320, 35, 75078, 328, 595, 75078, 220, 15, 340, 7, 83193, 35, 8, 75078, 1819, 15, 75078, 320, 83193, 50, 595, 75078, 320, 35, 75078, 328, 1192, 7, 83193, 35, 8, 75078, 320, 15, 75078, 1819, 35, 75078, 328, 8, 75078, 320, 83193, 50, 6054, 7, 83193, 35, 8, 75078, 320, 15, 75078, 11861, 83193, 50, 8, 75078, 423, 8, 75078, 328, 1192, 7, 83193, 35, 8, 75078, 320, 15, 75078, 1819, 83193, 50, 8, 75078, 320, 50, 75078, 423, 6054, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 864, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acS) \u2227 (D \u2227 S)) \u2227 ((0 \u2227 D) \u2227 (\u00acD))\n\nOptions:\n((0 \u2227 D) \u2227 (\u00acD)) \u2227 ((\u00acS) \u2227 (D \u2227 S))\n(((\u00acS) \u2227 (D \u2227 S)) \u2227 (0 \u2227 D)) \u2227 (\u00acD)\n(\u00acS) \u2227 ((D \u2227 S) \u2227 ((0 \u2227 D) \u2227 (\u00acD)))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 ((\u00acD) \u2227 (0 \u2227 D))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 (0 \u2227 (D \u2227 (\u00acD)))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 (0 \u2227 (\u00acD))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 ((D \u2227 0) \u2227 (\u00acD))\n((D \u2227 S) \u2227 (\u00acS)) \u2227 ((0 \u2227 D) \u2227 (\u00acD))\n(((\u00acS) \u2227 D) \u2227 S) \u2227 ((0 \u2227 D) \u2227 (\u00acD))\n((\u00acS) \u2227 (S \u2227 D)) \u2227 ((0 \u2227 D) \u2227 (\u00acD))\nChosen: ((\u00acS) \u2227 (D \u2227 S)) \u2227 (0 \u2227 (\u00acD))\n\nOptions:\n(0 \u2227 (\u00acD)) \u2227 ((\u00acS) \u2227 (D \u2227 S))\n(((\u00acS) \u2227 (D \u2227 S)) \u2227 0) \u2227 (\u00acD)\n(\u00acS) \u2227 ((D \u2227 S) \u2227 (0 \u2227 (\u00acD)))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 0\n((\u00acS) \u2227 (D \u2227 S)) \u2227 ((\u00acD) \u2227 0)\n((D \u2227 S) \u2227 (\u00acS)) \u2227 (0 \u2227 (\u00acD))\n(((\u00acS) \u2227 D) \u2227 S) \u2227 (0 \u2227 (\u00acD))\n((\u00acS) \u2227 (S \u2227 D)) \u2227 (0 \u2227 (\u00acD))\nChosen: ((\u00acS) \u2227 (D \u2227 S)) \u2227 ((\u00acD) \u2227 0)\n\nOptions:\n((\u00acD) \u2227 0) \u2227 ((\u00acS) \u2227 (D \u2227 S))\n(((\u00acS) \u2227 (D \u2227 S)) \u2227 (\u00acD)) \u2227 0\n(\u00acS) \u2227 ((D \u2227 S) \u2227 ((\u00acD) \u2227 0))\n((\u00acS) \u2227 (D \u2227 S)) \u2227 0\n((D \u2227 S) \u2227 (\u00acS)) \u2227 ((\u00acD) \u2227 0)\n(((\u00acS) \u2227 D) \u2227 S) \u2227 ((\u00acD) \u2227 0)\n((\u00acS) \u2227 (S \u2227 D)) \u2227 ((\u00acD) \u2227 0)\nChosen: ((\u00acD) \u2227 0) \u2227 ((\u00acS) \u2227 (D \u2227 S))\n\nOptions:\n(((\u00acD) \u2227 0) \u2227 (\u00acS)) \u2227 (D \u2227 S)\n(\u00acD) \u2227 (0 \u2227 ((\u00acS) \u2227 (D \u2227 S)))\n((\u00acD) \u2227 0) \u2227 ((D \u2227 S) \u2227 (\u00acS))\n((\u00acD) \u2227 0) \u2227 (((\u00acS) \u2227 D) \u2227 S)\n((\u00acD) \u2227 0) \u2227 ((\u00acS) \u2227 (S \u2227 D))\n0 \u2227 ((\u00acS) \u2227 (D \u2227 S))\n(0 \u2227 (\u00acD)) \u2227 ((\u00acS) \u2227 (D \u2227 S))\nChosen: (\u00acD) \u2227 (0 \u2227 ((\u00acS) \u2227 (D \u2227 S)))\n\nOptions:\n(0 \u2227 ((\u00acS) \u2227 (D \u2227 S))) \u2227 (\u00acD)\n(\u00acD) \u2227 0\n(\u00acD) \u2227 (((\u00acS) \u2227 (D \u2227 S)) \u2227 0)\n(\u00acD) \u2227 ((0 \u2227 (\u00acS)) \u2227 (D \u2227 S))\n(\u00acD) \u2227 (0 \u2227 ((D \u2227 S) \u2227 (\u00acS)))\n(\u00acD) \u2227 (0 \u2227 (((\u00acS) \u2227 D) \u2227 S))\n(\u00acD) \u2227 (0 \u2227 ((\u00acS) \u2227 (S \u2227 D)))\nChosen: (\u00acD) \u2227 0", "id": 1776}, {"char_len": 1050, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 468, 8, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 650, 595, 12264, 101, 1819, 16, 75078, 468, 8, 12264, 101, 320, 54, 75078, 650, 1192, 7, 16, 75078, 468, 8, 12264, 101, 1819, 54, 75078, 650, 8, 12264, 101, 320, 83193, 7, 15, 75078, 650, 6054, 1209, 16, 75078, 468, 8, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 53, 1192, 1209, 16, 75078, 468, 8, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 15, 340, 1209, 16, 75078, 468, 8, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 53, 75078, 220, 15, 1192, 1209, 54, 75078, 650, 8, 12264, 101, 320, 16, 75078, 468, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 6774, 16, 75078, 468, 8, 12264, 101, 468, 8, 75078, 1819, 16, 75078, 468, 8, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 1209, 16, 75078, 468, 8, 12264, 101, 320, 53, 75078, 468, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 14358, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 1209, 54, 75078, 220, 16, 8, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 1163, 8477, 25, 320, 54, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 650, 595, 12264, 101, 320, 54, 12264, 101, 320, 54, 75078, 650, 1192, 54, 12264, 101, 1819, 54, 75078, 650, 8, 12264, 101, 320, 83193, 7, 15, 75078, 650, 6054, 14358, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 53, 1192, 14358, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 15, 340, 14358, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 7, 53, 75078, 220, 15, 1192, 1209, 54, 75078, 650, 8, 12264, 101, 468, 8, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 1209, 54, 12264, 101, 468, 8, 75078, 320, 54, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 14358, 12264, 101, 320, 53, 75078, 468, 595, 12264, 101, 320, 83193, 7, 15, 75078, 650, 1192, 1163, 8477, 25, 320, 54, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 54, 12264, 101, 320, 54, 75078, 650, 1192, 54, 12264, 101, 1819, 54, 75078, 650, 8, 12264, 101, 320, 83193, 15, 1192, 14358, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 220, 16, 198, 1209, 54, 75078, 650, 8, 12264, 101, 468, 8, 12264, 101, 320, 83193, 15, 340, 1209, 54, 12264, 101, 468, 8, 75078, 320, 54, 12264, 101, 650, 595, 12264, 101, 320, 83193, 15, 340, 14358, 12264, 101, 320, 53, 75078, 468, 595, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 54, 12264, 101, 320, 54, 75078, 650, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 54, 12264, 101, 320, 54, 75078, 650, 1192, 54, 12264, 101, 1819, 54, 75078, 650, 8, 12264, 101, 220, 16, 340, 1209, 54, 75078, 650, 8, 12264, 101, 468, 8, 12264, 101, 220, 16, 198, 1209, 54, 12264, 101, 468, 8, 75078, 320, 54, 12264, 101, 650, 595, 12264, 101, 220, 16, 198, 14358, 12264, 101, 320, 53, 75078, 468, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 629, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 W) \u2228 (W \u2227 V)) \u2228 (\u00ac(0 \u2227 V))\n\nOptions:\n(\u00ac(0 \u2227 V)) \u2228 ((1 \u2227 W) \u2228 (W \u2227 V))\n(1 \u2227 W) \u2228 ((W \u2227 V) \u2228 (\u00ac(0 \u2227 V)))\n((1 \u2227 W) \u2228 (W \u2227 V)) \u2228 ((\u00ac0) \u2228 (\u00acV))\n((1 \u2227 W) \u2228 (W \u2227 V)) \u2228 (\u00ac0)\n((1 \u2227 W) \u2228 (W \u2227 V)) \u2228 (\u00ac(V \u2227 0))\n((W \u2227 V) \u2228 (1 \u2227 W)) \u2228 (\u00ac(0 \u2227 V))\n(((1 \u2227 W) \u2228 W) \u2227 ((1 \u2227 W) \u2228 V)) \u2228 (\u00ac(0 \u2227 V))\n((1 \u2227 W) \u2228 (V \u2227 W)) \u2228 (\u00ac(0 \u2227 V))\n(W \u2228 (W \u2227 V)) \u2228 (\u00ac(0 \u2227 V))\n((W \u2227 1) \u2228 (W \u2227 V)) \u2228 (\u00ac(0 \u2227 V))\nChosen: (W \u2228 (W \u2227 V)) \u2228 (\u00ac(0 \u2227 V))\n\nOptions:\n(\u00ac(0 \u2227 V)) \u2228 (W \u2228 (W \u2227 V))\nW \u2228 ((W \u2227 V) \u2228 (\u00ac(0 \u2227 V)))\n(W \u2228 (W \u2227 V)) \u2228 ((\u00ac0) \u2228 (\u00acV))\n(W \u2228 (W \u2227 V)) \u2228 (\u00ac0)\n(W \u2228 (W \u2227 V)) \u2228 (\u00ac(V \u2227 0))\n((W \u2227 V) \u2228 W) \u2228 (\u00ac(0 \u2227 V))\n((W \u2228 W) \u2227 (W \u2228 V)) \u2228 (\u00ac(0 \u2227 V))\n(W \u2228 (V \u2227 W)) \u2228 (\u00ac(0 \u2227 V))\nChosen: (W \u2228 (W \u2227 V)) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (W \u2228 (W \u2227 V))\nW \u2228 ((W \u2227 V) \u2228 (\u00ac0))\n(W \u2228 (W \u2227 V)) \u2228 1\n((W \u2227 V) \u2228 W) \u2228 (\u00ac0)\n((W \u2228 W) \u2227 (W \u2228 V)) \u2228 (\u00ac0)\n(W \u2228 (V \u2227 W)) \u2228 (\u00ac0)\nChosen: (W \u2228 (W \u2227 V)) \u2228 1\n\nOptions:\n1\n1 \u2228 (W \u2228 (W \u2227 V))\nW \u2228 ((W \u2227 V) \u2228 1)\n((W \u2227 V) \u2228 W) \u2228 1\n((W \u2228 W) \u2227 (W \u2228 V)) \u2228 1\n(W \u2228 (V \u2227 W)) \u2228 1\nChosen: 1", "id": 1777}, {"char_len": 1124, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 650, 1192, 7, 16, 75078, 473, 8, 12264, 101, 1819, 53, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1209, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 1209, 53, 12264, 101, 650, 8, 12264, 101, 320, 16, 75078, 473, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 6774, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 11135, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 39, 75078, 220, 16, 8, 12264, 101, 320, 53, 12264, 101, 650, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 1819, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 473, 8, 12264, 101, 650, 340, 7, 16, 75078, 473, 8, 12264, 101, 320, 53, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 1209, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 16, 340, 1209, 16, 75078, 473, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 12692, 12264, 101, 320, 16, 75078, 473, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 11135, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1209, 39, 75078, 220, 16, 8, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 39, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 39, 12264, 101, 650, 340, 39, 12264, 101, 320, 53, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 6054, 11135, 12264, 101, 650, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 83193, 16, 1192, 11135, 12264, 101, 650, 8, 12264, 101, 320, 83193, 16, 340, 11135, 12264, 101, 650, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 220, 15, 1192, 12692, 12264, 101, 473, 8, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 39, 12264, 101, 650, 696, 3883, 512, 1209, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 473, 8, 12264, 101, 650, 198, 7, 83193, 7, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 53, 12264, 101, 473, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 320, 39, 12264, 101, 650, 340, 7, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 650, 340, 7, 83193, 7, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 39, 12264, 101, 650, 340, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 39, 12264, 101, 650, 696, 3883, 512, 11135, 12264, 101, 650, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 473, 8, 12264, 101, 650, 198, 7, 83193, 16, 8, 12264, 101, 320, 53, 12264, 101, 473, 340, 15, 12264, 101, 320, 39, 12264, 101, 650, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 473, 8, 12264, 101, 650], "tokenizer": "cl100k_base", "tokens_len": 739, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 H) \u2228 (V \u2228 V)) \u2228 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 ((1 \u2227 H) \u2228 (V \u2228 V))\n(1 \u2227 H) \u2228 ((V \u2228 V) \u2228 (\u00ac(0 \u2228 1)))\n((1 \u2227 H) \u2228 (V \u2228 V)) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((1 \u2227 H) \u2228 (V \u2228 V)) \u2228 (\u00ac1)\n((1 \u2227 H) \u2228 (V \u2228 V)) \u2228 (\u00ac(1 \u2228 0))\n((V \u2228 V) \u2228 (1 \u2227 H)) \u2228 (\u00ac(0 \u2228 1))\n(((1 \u2227 H) \u2228 V) \u2228 V) \u2228 (\u00ac(0 \u2228 1))\n((1 \u2227 H) \u2228 V) \u2228 (\u00ac(0 \u2228 1))\n(H \u2228 (V \u2228 V)) \u2228 (\u00ac(0 \u2228 1))\n((H \u2227 1) \u2228 (V \u2228 V)) \u2228 (\u00ac(0 \u2228 1))\nChosen: ((1 \u2227 H) \u2228 V) \u2228 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 ((1 \u2227 H) \u2228 V)\n(1 \u2227 H) \u2228 (V \u2228 (\u00ac(0 \u2228 1)))\n((1 \u2227 H) \u2228 V) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n((1 \u2227 H) \u2228 V) \u2228 (\u00ac1)\n((1 \u2227 H) \u2228 V) \u2228 (\u00ac(1 \u2228 0))\n(V \u2228 (1 \u2227 H)) \u2228 (\u00ac(0 \u2228 1))\n(H \u2228 V) \u2228 (\u00ac(0 \u2228 1))\n((H \u2227 1) \u2228 V) \u2228 (\u00ac(0 \u2228 1))\nChosen: (H \u2228 V) \u2228 (\u00ac(0 \u2228 1))\n\nOptions:\n(\u00ac(0 \u2228 1)) \u2228 (H \u2228 V)\nH \u2228 (V \u2228 (\u00ac(0 \u2228 1)))\n(H \u2228 V) \u2228 ((\u00ac0) \u2227 (\u00ac1))\n(H \u2228 V) \u2228 (\u00ac1)\n(H \u2228 V) \u2228 (\u00ac(1 \u2228 0))\n(V \u2228 H) \u2228 (\u00ac(0 \u2228 1))\nChosen: (\u00ac(0 \u2228 1)) \u2228 (H \u2228 V)\n\nOptions:\n((\u00ac(0 \u2228 1)) \u2228 H) \u2228 V\n(\u00ac(0 \u2228 1)) \u2228 (V \u2228 H)\n((\u00ac0) \u2227 (\u00ac1)) \u2228 (H \u2228 V)\n(\u00ac1) \u2228 (H \u2228 V)\n(\u00ac(1 \u2228 0)) \u2228 (H \u2228 V)\nChosen: (\u00ac1) \u2228 (H \u2228 V)\n\nOptions:\n(H \u2228 V) \u2228 (\u00ac1)\n((\u00ac1) \u2228 H) \u2228 V\n(\u00ac1) \u2228 (V \u2228 H)\n0 \u2228 (H \u2228 V)\nChosen: ((\u00ac1) \u2228 H) \u2228 V", "id": 1778}, {"char_len": 2477, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 1209, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 595, 75078, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 1192, 3844, 75078, 328, 8, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 6054, 6774, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 328, 595, 12264, 101, 11861, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 320, 83193, 50, 6054, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 50, 75078, 328, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 6774, 50, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 1819, 50, 75078, 328, 8, 75078, 328, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 220, 16, 8, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 1209, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 595, 75078, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 1192, 3844, 75078, 328, 8, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 6054, 6774, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 83193, 50, 595, 12264, 101, 11861, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 11861, 83193, 50, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 50, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 50, 75078, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 6774, 50, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 1819, 50, 75078, 328, 8, 75078, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 3844, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 320, 16, 12264, 101, 328, 1192, 1163, 8477, 25, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 50, 8, 12264, 101, 220, 16, 8, 75078, 1819, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 1192, 3844, 75078, 328, 8, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 1192, 6774, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 83193, 50, 595, 12264, 101, 11861, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 220, 16, 340, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 220, 16, 198, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 16, 12264, 101, 328, 8, 75078, 320, 50, 75078, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 6774, 50, 75078, 328, 8, 75078, 220, 16, 8, 12264, 101, 1819, 50, 75078, 328, 8, 75078, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1209, 50, 75078, 328, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1209, 50, 75078, 328, 8, 75078, 320, 50, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 50, 8, 12264, 101, 220, 16, 8, 75078, 320, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 6054, 50, 75078, 1819, 50, 75078, 320, 16, 12264, 101, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 1192, 1209, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 320, 83193, 50, 595, 12264, 101, 1819, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 220, 16, 340, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 220, 16, 198, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 75078, 320, 16, 12264, 101, 328, 595, 75078, 328, 8, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 328, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 1819, 50, 75078, 220, 16, 8, 12264, 101, 320, 50, 75078, 328, 7861, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 320, 50, 75078, 220, 16, 595, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 3844, 75078, 320, 50, 75078, 320, 50, 12264, 101, 220, 16, 7861, 75078, 1819, 83193, 50, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 50, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 50, 595, 75078, 320, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 6054, 50, 75078, 1819, 50, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 6054, 1209, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 220, 16, 8, 12264, 101, 1819, 50, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 320, 83193, 50, 1192, 3844, 75078, 320, 50, 75078, 320, 16, 12264, 101, 328, 7861, 75078, 220, 16, 198, 1209, 50, 75078, 320, 16, 12264, 101, 328, 595, 75078, 328, 8, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1209, 50, 75078, 328, 8, 75078, 320, 16, 12264, 101, 328, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 1819, 16, 12264, 101, 328, 8, 75078, 328, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 1819, 50, 75078, 220, 16, 8, 12264, 101, 320, 50, 75078, 328, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 320, 50, 75078, 220, 16, 595, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 3844, 75078, 320, 50, 75078, 320, 50, 12264, 101, 220, 16, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 50, 1192, 1163, 8477, 25, 320, 50, 75078, 320, 50, 75078, 320, 50, 12264, 101, 220, 16, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 50, 595], "tokenizer": "cl100k_base", "tokens_len": 1508, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n\nOptions:\n((1 \u2228 S) \u2228 (\u00acS)) \u2227 ((S \u2227 S) \u2227 (1 \u2228 S))\n(S \u2227 S) \u2227 ((1 \u2228 S) \u2227 ((1 \u2228 S) \u2228 (\u00acS)))\n(((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 S)) \u2228 (((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (\u00acS))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 (S \u2228 (\u00acS)))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 (\u00acS))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((S \u2228 1) \u2228 (\u00acS))\n((1 \u2228 S) \u2227 (S \u2227 S)) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n(((S \u2227 S) \u2227 1) \u2228 ((S \u2227 S) \u2227 S)) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n((S \u2227 S) \u2227 1) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n((S \u2227 S) \u2227 (S \u2228 1)) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\n(S \u2227 (1 \u2228 S)) \u2227 ((1 \u2228 S) \u2228 (\u00acS))\nChosen: ((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n\nOptions:\n((\u00acS) \u2228 (1 \u2228 S)) \u2227 ((S \u2227 S) \u2227 (1 \u2228 S))\n(S \u2227 S) \u2227 ((1 \u2228 S) \u2227 ((\u00acS) \u2228 (1 \u2228 S)))\n(((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (\u00acS)) \u2228 (((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 S))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (((\u00acS) \u2228 1) \u2228 S)\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 1)\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 (S \u2228 1))\n((1 \u2228 S) \u2227 (S \u2227 S)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n(((S \u2227 S) \u2227 1) \u2228 ((S \u2227 S) \u2227 S)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n((S \u2227 S) \u2227 1) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n((S \u2227 S) \u2227 (S \u2228 1)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\n(S \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 (1 \u2228 S))\nChosen: ((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 1)\n\nOptions:\n((\u00acS) \u2228 1) \u2227 ((S \u2227 S) \u2227 (1 \u2228 S))\n(S \u2227 S) \u2227 ((1 \u2228 S) \u2227 ((\u00acS) \u2228 1))\n(((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (\u00acS)) \u2228 (((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 1)\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 1\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 (\u00acS))\n((1 \u2228 S) \u2227 (S \u2227 S)) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 ((\u00acS) \u2228 1)\n(((S \u2227 S) \u2227 1) \u2228 ((S \u2227 S) \u2227 S)) \u2227 ((\u00acS) \u2228 1)\n((S \u2227 S) \u2227 1) \u2227 ((\u00acS) \u2228 1)\n((S \u2227 S) \u2227 (S \u2228 1)) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 1)\nChosen: (S \u2227 (S \u2227 (1 \u2228 S))) \u2227 ((\u00acS) \u2228 1)\n\nOptions:\n((\u00acS) \u2228 1) \u2227 (S \u2227 (S \u2227 (1 \u2228 S)))\nS \u2227 ((S \u2227 (1 \u2228 S)) \u2227 ((\u00acS) \u2228 1))\n((S \u2227 (S \u2227 (1 \u2228 S))) \u2227 (\u00acS)) \u2228 ((S \u2227 (S \u2227 (1 \u2228 S))) \u2227 1)\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 1\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 (1 \u2228 (\u00acS))\n((S \u2227 (1 \u2228 S)) \u2227 S) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 ((1 \u2228 S) \u2227 S)) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 ((S \u2227 1) \u2228 (S \u2227 S))) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 (S \u2227 1)) \u2227 ((\u00acS) \u2228 1)\n(S \u2227 (S \u2227 (S \u2228 1))) \u2227 ((\u00acS) \u2228 1)\nChosen: (S \u2227 (S \u2227 (1 \u2228 S))) \u2227 (1 \u2228 (\u00acS))\n\nOptions:\n(1 \u2228 (\u00acS)) \u2227 (S \u2227 (S \u2227 (1 \u2228 S)))\nS \u2227 ((S \u2227 (1 \u2228 S)) \u2227 (1 \u2228 (\u00acS)))\n((S \u2227 (S \u2227 (1 \u2228 S))) \u2227 1) \u2228 ((S \u2227 (S \u2227 (1 \u2228 S))) \u2227 (\u00acS))\n(S \u2227 (S \u2227 (1 \u2228 S))) \u2227 1\n((S \u2227 (1 \u2228 S)) \u2227 S) \u2227 (1 \u2228 (\u00acS))\n((S \u2227 S) \u2227 (1 \u2228 S)) \u2227 (1 \u2228 (\u00acS))\n(S \u2227 ((1 \u2228 S) \u2227 S)) \u2227 (1 \u2228 (\u00acS))\n(S \u2227 ((S \u2227 1) \u2228 (S \u2227 S))) \u2227 (1 \u2228 (\u00acS))\n(S \u2227 (S \u2227 1)) \u2227 (1 \u2228 (\u00acS))\n(S \u2227 (S \u2227 (S \u2228 1))) \u2227 (1 \u2228 (\u00acS))\nChosen: (S \u2227 (S \u2227 (S \u2228 1))) \u2227 (1 \u2228 (\u00acS))", "id": 1779}, {"char_len": 282, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 45, 1192, 7, 83193, 7, 83193, 45, 595, 12264, 101, 220, 15, 198, 7, 83193, 7, 83193, 45, 595, 12264, 101, 320, 83193, 16, 340, 45, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 452, 12264, 101, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 12264, 101, 452, 198, 45, 12264, 101, 220, 15, 198, 45, 12264, 101, 320, 83193, 16, 340, 1163, 8477, 25, 452, 12264, 101, 220, 15, 271, 3883, 512, 45, 198, 15, 12264, 101, 452, 198, 1163, 8477, 25, 452], "tokenizer": "cl100k_base", "tokens_len": 139, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acN)) \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 (\u00ac(\u00acN))\n(\u00ac(\u00acN)) \u2228 0\n(\u00ac(\u00acN)) \u2228 (\u00ac1)\nN \u2228 (\u00ac(\u00ac0))\nChosen: N \u2228 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2228 N\nN \u2228 0\nN \u2228 (\u00ac1)\nChosen: N \u2228 0\n\nOptions:\nN\n0 \u2228 N\nChosen: N", "id": 1780}, {"char_len": 591, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 45, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 83193, 37, 4489, 3883, 512, 7, 83193, 7, 83193, 37, 595, 12264, 101, 1819, 45, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 1192, 8368, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 7, 83193, 37, 6054, 1209, 45, 75078, 220, 16, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 435, 198, 1209, 83193, 37, 8, 12264, 101, 320, 45, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 8368, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1209, 16, 75078, 452, 8, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1163, 8477, 25, 320, 45, 12264, 101, 320, 83193, 37, 595, 12264, 101, 320, 83193, 7, 83193, 37, 4489, 3883, 512, 7, 83193, 7, 83193, 37, 595, 12264, 101, 320, 45, 12264, 101, 320, 83193, 37, 1192, 45, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 320, 83193, 7, 83193, 37, 6054, 8368, 12264, 101, 320, 83193, 37, 595, 12264, 101, 435, 198, 1209, 83193, 37, 8, 12264, 101, 452, 8, 12264, 101, 320, 83193, 7, 83193, 37, 1192, 1163, 8477, 25, 320, 45, 12264, 101, 320, 83193, 37, 595, 12264, 101, 435, 271, 3883, 512, 37, 12264, 101, 320, 45, 12264, 101, 320, 83193, 37, 1192, 45, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 435, 340, 1209, 83193, 37, 8, 12264, 101, 452, 8, 12264, 101, 435, 198, 1163, 8477, 25, 452, 12264, 101, 1819, 83193, 37, 8, 12264, 101, 435, 696, 3883, 512, 1209, 83193, 37, 8, 12264, 101, 435, 8, 12264, 101, 452, 198, 45, 12264, 101, 220, 16, 198, 45, 12264, 101, 320, 37, 12264, 101, 320, 83193, 37, 1192, 1163, 8477, 25, 452, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 452, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 347, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((N \u2227 1) \u2228 (\u00acF)) \u2228 (\u00ac(\u00acF))\n\nOptions:\n(\u00ac(\u00acF)) \u2228 ((N \u2227 1) \u2228 (\u00acF))\n(N \u2227 1) \u2228 ((\u00acF) \u2228 (\u00ac(\u00acF)))\n((N \u2227 1) \u2228 (\u00acF)) \u2228 F\n((\u00acF) \u2228 (N \u2227 1)) \u2228 (\u00ac(\u00acF))\n(N \u2228 (\u00acF)) \u2228 (\u00ac(\u00acF))\n((1 \u2227 N) \u2228 (\u00acF)) \u2228 (\u00ac(\u00acF))\nChosen: (N \u2228 (\u00acF)) \u2228 (\u00ac(\u00acF))\n\nOptions:\n(\u00ac(\u00acF)) \u2228 (N \u2228 (\u00acF))\nN \u2228 ((\u00acF) \u2228 (\u00ac(\u00acF)))\n(N \u2228 (\u00acF)) \u2228 F\n((\u00acF) \u2228 N) \u2228 (\u00ac(\u00acF))\nChosen: (N \u2228 (\u00acF)) \u2228 F\n\nOptions:\nF \u2228 (N \u2228 (\u00acF))\nN \u2228 ((\u00acF) \u2228 F)\n((\u00acF) \u2228 N) \u2228 F\nChosen: N \u2228 ((\u00acF) \u2228 F)\n\nOptions:\n((\u00acF) \u2228 F) \u2228 N\nN \u2228 1\nN \u2228 (F \u2228 (\u00acF))\nChosen: N \u2228 1\n\nOptions:\n1\n1 \u2228 N\nChosen: 1", "id": 1781}, {"char_len": 1752, "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, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 35, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 16, 12264, 101, 423, 8, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 35, 12264, 101, 220, 16, 1192, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 6054, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 423, 595, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 35, 12264, 101, 320, 83193, 16, 7861, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 16, 12264, 101, 423, 8, 12264, 101, 220, 15, 8, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 7, 16, 12264, 101, 320, 83193, 16, 595, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 35, 12264, 101, 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Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 D) \u2228 (\u00ac1)) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\n\nOptions:\n((D \u2228 1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 D) \u2228 (\u00ac1))\n(((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (D \u2228 1)) \u2228 (\u00ac0)\n(1 \u2228 D) \u2228 ((\u00ac1) \u2228 ((D \u2228 1) \u2228 (\u00ac0)))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 ((\u00ac0) \u2228 (D \u2228 1))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (D \u2228 (1 \u2228 (\u00ac0)))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 ((D \u2228 1) \u2228 1)\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (1 \u2228 (\u00ac0))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 ((1 \u2228 D) \u2228 (\u00ac0))\n((\u00ac1) \u2228 (1 \u2228 D)) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\n(1 \u2228 (D \u2228 (\u00ac1))) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\n((1 \u2228 D) \u2228 0) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\n(1 \u2228 (\u00ac1)) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\n((D \u2228 1) \u2228 (\u00ac1)) \u2228 ((D \u2228 1) \u2228 (\u00ac0))\nChosen: ((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (1 \u2228 (\u00ac0))\n\nOptions:\n(1 \u2228 (\u00ac0)) \u2228 ((1 \u2228 D) \u2228 (\u00ac1))\n(((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1) \u2228 (\u00ac0)\n(1 \u2228 D) \u2228 ((\u00ac1) \u2228 (1 \u2228 (\u00ac0)))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 ((\u00ac0) \u2228 1)\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (1 \u2228 1)\n((\u00ac1) \u2228 (1 \u2228 D)) \u2228 (1 \u2228 (\u00ac0))\n(1 \u2228 (D \u2228 (\u00ac1))) \u2228 (1 \u2228 (\u00ac0))\n((1 \u2228 D) \u2228 0) \u2228 (1 \u2228 (\u00ac0))\n(1 \u2228 (\u00ac1)) \u2228 (1 \u2228 (\u00ac0))\n((D \u2228 1) \u2228 (\u00ac1)) \u2228 (1 \u2228 (\u00ac0))\nChosen: ((1 \u2228 D) \u2228 (\u00ac1)) \u2228 (1 \u2228 1)\n\nOptions:\n(1 \u2228 1) \u2228 ((1 \u2228 D) \u2228 (\u00ac1))\n(((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1) \u2228 1\n(1 \u2228 D) \u2228 ((\u00ac1) \u2228 (1 \u2228 1))\n((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1\n((\u00ac1) \u2228 (1 \u2228 D)) \u2228 (1 \u2228 1)\n(1 \u2228 (D \u2228 (\u00ac1))) \u2228 (1 \u2228 1)\n((1 \u2228 D) \u2228 0) \u2228 (1 \u2228 1)\n(1 \u2228 (\u00ac1)) \u2228 (1 \u2228 1)\n((D \u2228 1) \u2228 (\u00ac1)) \u2228 (1 \u2228 1)\nChosen: (((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1) \u2228 1\n\nOptions:\n1\n1 \u2228 (((1 \u2228 D) \u2228 (\u00ac1)) \u2228 1)\n1 \u2228 1\n(1 \u2228 ((1 \u2228 D) \u2228 (\u00ac1))) \u2228 1\n((1 \u2228 D) \u2228 ((\u00ac1) \u2228 1)) \u2228 1\n(((\u00ac1) \u2228 (1 \u2228 D)) \u2228 1) \u2228 1\n((1 \u2228 (D \u2228 (\u00ac1))) \u2228 1) \u2228 1\n(((1 \u2228 D) \u2228 0) \u2228 1) \u2228 1\n((1 \u2228 (\u00ac1)) \u2228 1) \u2228 1\n(((D \u2228 1) \u2228 (\u00ac1)) \u2228 1) \u2228 1\nChosen: (((1 \u2228 D) \u2228 0) \u2228 1) \u2228 1\n\nOptions:\n1\n1 \u2228 (((1 \u2228 D) \u2228 0) \u2228 1)\n((1 \u2228 D) \u2228 0) \u2228 (1 \u2228 1)\n1 \u2228 1\n(1 \u2228 ((1 \u2228 D) \u2228 0)) \u2228 1\n((1 \u2228 D) \u2228 (0 \u2228 1)) \u2228 1\n((1 \u2228 D) \u2228 1) \u2228 1\n((0 \u2228 (1 \u2228 D)) \u2228 1) \u2228 1\n((1 \u2228 (D \u2228 0)) \u2228 1) \u2228 1\n((1 \u2228 0) \u2228 1) \u2228 1\n(((D \u2228 1) \u2228 0) \u2228 1) \u2228 1\nChosen: 1 \u2228 1", "id": 1782}, {"char_len": 2537, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 41, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 75078, 622, 8, 12264, 101, 320, 15, 75078, 507, 4489, 3883, 512, 1209, 15, 75078, 622, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 41, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 6774, 41, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 75078, 622, 595, 12264, 101, 11861, 41, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 320, 15, 75078, 507, 1192, 1209, 41, 75078, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 15, 75078, 507, 8, 12264, 101, 320, 15, 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46, 8, 12264, 101, 320, 16, 75078, 622, 595, 75078, 1819, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 1192, 6774, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 320, 83193, 46, 595, 12264, 101, 11861, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 320, 16, 75078, 622, 1192, 1209, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 11861, 83193, 46, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 46, 8, 12264, 101, 622, 1192, 1209, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 622, 340, 1209, 41, 75078, 220, 15, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 41, 75078, 220, 16, 1192, 1209, 15, 75078, 507, 8, 12264, 101, 320, 41, 75078, 220, 15, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 6774, 41, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 41, 75078, 220, 15, 8, 12264, 101, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1209, 41, 75078, 220, 15, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1209, 41, 75078, 220, 15, 8, 12264, 101, 320, 46, 75078, 220, 15, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 7, 15, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1209, 15, 75078, 622, 8, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 15, 75078, 507, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 16, 75078, 622, 595], "tokenizer": "cl100k_base", "tokens_len": 1582, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((J \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 J) \u2228 (0 \u2227 O))\n\nOptions:\n((0 \u2227 J) \u2228 (0 \u2227 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n(((J \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2227 J)) \u2228 (((J \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2227 O))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 O) \u2228 (0 \u2227 J))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 (((0 \u2227 J) \u2228 0) \u2227 ((0 \u2227 J) \u2228 O))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 J) \u2228 0)\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 J) \u2228 (O \u2227 0))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 (0 \u2227 O))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n((\u00acO) \u2228 (J \u2227 1)) \u2227 ((0 \u2227 J) \u2228 (0 \u2227 O))\n(J \u2228 (\u00acO)) \u2227 ((0 \u2227 J) \u2228 (0 \u2227 O))\n((1 \u2227 J) \u2228 (\u00acO)) \u2227 ((0 \u2227 J) \u2228 (0 \u2227 O))\nChosen: ((J \u2227 1) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n\nOptions:\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n(((J \u2227 1) \u2228 (\u00acO)) \u2227 (J \u2227 0)) \u2228 (((J \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2227 O))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((0 \u2227 O) \u2228 (J \u2227 0))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 (((J \u2227 0) \u2228 0) \u2227 ((J \u2227 0) \u2228 O))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 0)\n((J \u2227 1) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (O \u2227 0))\n((J \u2227 1) \u2228 (\u00acO)) \u2227 (0 \u2228 (0 \u2227 O))\n((\u00acO) \u2228 (J \u2227 1)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n(J \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n((1 \u2227 J) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\nChosen: ((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n\nOptions:\n(((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (J \u2227 1)) \u2228 (((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (\u00acO))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (J \u2227 1))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (J \u2228 (\u00acO))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n((0 \u2227 O) \u2228 (J \u2227 0)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n(((J \u2227 0) \u2228 0) \u2227 ((J \u2227 0) \u2228 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n((J \u2227 0) \u2228 0) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n((J \u2227 0) \u2228 (O \u2227 0)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n(0 \u2228 (0 \u2227 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\n((0 \u2227 J) \u2228 (0 \u2227 O)) \u2227 ((J \u2227 1) \u2228 (\u00acO))\nChosen: ((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n\nOptions:\n((1 \u2227 J) \u2228 (\u00acO)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n(((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (1 \u2227 J)) \u2228 (((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (\u00acO))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (J \u2228 (\u00acO))\n((0 \u2227 O) \u2228 (J \u2227 0)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n(((J \u2227 0) \u2228 0) \u2227 ((J \u2227 0) \u2228 O)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n((J \u2227 0) \u2228 0) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n((J \u2227 0) \u2228 (O \u2227 0)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n(0 \u2228 (0 \u2227 O)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\n((0 \u2227 J) \u2228 (0 \u2227 O)) \u2227 ((1 \u2227 J) \u2228 (\u00acO))\nChosen: ((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n\nOptions:\n((\u00acO) \u2228 (1 \u2227 J)) \u2227 ((J \u2227 0) \u2228 (0 \u2227 O))\n(((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (\u00acO)) \u2228 (((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (1 \u2227 J))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 (((\u00acO) \u2228 1) \u2227 ((\u00acO) \u2228 J))\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 J)\n((J \u2227 0) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (J \u2227 1))\n((0 \u2227 O) \u2228 (J \u2227 0)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n(((J \u2227 0) \u2228 0) \u2227 ((J \u2227 0) \u2228 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n((J \u2227 0) \u2228 0) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n((J \u2227 0) \u2228 (O \u2227 0)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n(0 \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\n((0 \u2227 J) \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))\nChosen: (0 \u2228 (0 \u2227 O)) \u2227 ((\u00acO) \u2228 (1 \u2227 J))", "id": 1783}, {"char_len": 1036, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 39, 75078, 622, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 1192, 1209, 83193, 7, 39, 75078, 622, 595, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 39, 75078, 622, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 41, 1192, 7, 83193, 7, 39, 75078, 622, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 220, 16, 340, 1209, 83193, 39, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 41, 75078, 473, 595, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 39, 75078, 622, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 41, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 1192, 1209, 83193, 7, 39, 75078, 622, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 41, 340, 7, 83193, 7, 39, 75078, 622, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 39, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 41, 1192, 7, 83193, 7, 41, 75078, 473, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 41, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 4489, 3883, 512, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 6054, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 41, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 41, 75078, 473, 1192, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 1192, 7, 16, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 19789, 3883, 512, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 7861, 12264, 101, 320, 83193, 15, 340, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 7, 39, 75078, 622, 595, 12264, 101, 320, 83193, 41, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 41, 6054, 7, 83193, 15, 8, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 41, 75078, 473, 6054, 16, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 6054, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 19789, 3883, 512, 16, 198, 1209, 83193, 41, 8, 12264, 101, 320, 83193, 7, 39, 75078, 622, 7861, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 1192, 16, 12264, 101, 1819, 83193, 7, 39, 75078, 622, 595, 12264, 101, 320, 83193, 41, 1192, 16, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 41, 6054, 16, 12264, 101, 1819, 83193, 41, 8, 12264, 101, 320, 83193, 7, 41, 75078, 473, 6054, 1163, 8477, 25, 320, 16, 12264, 101, 320, 83193, 41, 595, 12264, 101, 320, 83193, 7, 39, 75078, 622, 595], "tokenizer": "cl100k_base", "tokens_len": 644, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(H \u2227 J)) \u2228 ((\u00acJ) \u2228 (\u00ac0))\n\nOptions:\n((\u00acJ) \u2228 (\u00ac0)) \u2228 (\u00ac(H \u2227 J))\n((\u00ac(H \u2227 J)) \u2228 (\u00acJ)) \u2228 (\u00ac0)\n(\u00ac(H \u2227 J)) \u2228 ((\u00ac0) \u2228 (\u00acJ))\n(\u00ac(H \u2227 J)) \u2228 ((\u00acJ) \u2228 1)\n((\u00acH) \u2228 (\u00acJ)) \u2228 ((\u00acJ) \u2228 (\u00ac0))\n(\u00ac(J \u2227 H)) \u2228 ((\u00acJ) \u2228 (\u00ac0))\nChosen: (\u00ac(H \u2227 J)) \u2228 ((\u00ac0) \u2228 (\u00acJ))\n\nOptions:\n((\u00ac0) \u2228 (\u00acJ)) \u2228 (\u00ac(H \u2227 J))\n((\u00ac(H \u2227 J)) \u2228 (\u00ac0)) \u2228 (\u00acJ)\n(\u00ac(H \u2227 J)) \u2228 (1 \u2228 (\u00acJ))\n((\u00acH) \u2228 (\u00acJ)) \u2228 ((\u00ac0) \u2228 (\u00acJ))\n(\u00ac(J \u2227 H)) \u2228 ((\u00ac0) \u2228 (\u00acJ))\nChosen: ((\u00ac0) \u2228 (\u00acJ)) \u2228 (\u00ac(H \u2227 J))\n\nOptions:\n(\u00ac0) \u2228 ((\u00acJ) \u2228 (\u00ac(H \u2227 J)))\n((\u00ac0) \u2228 (\u00acJ)) \u2228 ((\u00acH) \u2228 (\u00acJ))\n((\u00ac0) \u2228 (\u00acJ)) \u2228 (\u00ac(J \u2227 H))\n((\u00acJ) \u2228 (\u00ac0)) \u2228 (\u00ac(H \u2227 J))\n(1 \u2228 (\u00acJ)) \u2228 (\u00ac(H \u2227 J))\nChosen: (\u00ac0) \u2228 ((\u00acJ) \u2228 (\u00ac(H \u2227 J)))\n\nOptions:\n((\u00acJ) \u2228 (\u00ac(H \u2227 J))) \u2228 (\u00ac0)\n(\u00ac0) \u2228 ((\u00ac(H \u2227 J)) \u2228 (\u00acJ))\n(\u00ac0) \u2228 ((\u00acJ) \u2228 ((\u00acH) \u2228 (\u00acJ)))\n(\u00ac0) \u2228 ((\u00acJ) \u2228 (\u00ac(J \u2227 H)))\n1 \u2228 ((\u00acJ) \u2228 (\u00ac(H \u2227 J)))\nChosen: 1 \u2228 ((\u00acJ) \u2228 (\u00ac(H \u2227 J)))\n\nOptions:\n1\n((\u00acJ) \u2228 (\u00ac(H \u2227 J))) \u2228 1\n(1 \u2228 (\u00acJ)) \u2228 (\u00ac(H \u2227 J))\n1 \u2228 ((\u00ac(H \u2227 J)) \u2228 (\u00acJ))\n1 \u2228 ((\u00acJ) \u2228 ((\u00acH) \u2228 (\u00acJ)))\n1 \u2228 ((\u00acJ) \u2228 (\u00ac(J \u2227 H)))\nChosen: (1 \u2228 (\u00acJ)) \u2228 (\u00ac(H \u2227 J))", "id": 1784}, {"char_len": 1826, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 38, 1192, 6774, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 83193, 38, 8, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 42, 75078, 735, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 11861, 42, 75078, 735, 8, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 320, 42, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 220, 15, 340, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 38, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 1192, 7, 16, 75078, 320, 83193, 38, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 11861, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 696, 3883, 512, 7, 15, 75078, 220, 16, 8, 75078, 11861, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 1192, 67944, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 6774, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 198, 6774, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 42, 75078, 735, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 38, 7861, 75078, 320, 15, 75078, 220, 16, 340, 67944, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 735, 8, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 1209, 83193, 15, 8, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 7861, 75078, 320, 15, 75078, 220, 16, 340, 6774, 83193, 15, 8, 75078, 320, 83193, 38, 595, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 6774, 83193, 38, 8, 75078, 320, 83193, 15, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 696, 3883, 512, 7, 15, 75078, 220, 16, 8, 75078, 1819, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 1192, 6774, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 7, 16, 75078, 320, 83193, 38, 595, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 198, 1209, 16, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 42, 75078, 735, 8, 75078, 320, 16, 75078, 320, 83193, 38, 7861, 75078, 320, 15, 75078, 220, 16, 340, 6774, 16, 75078, 320, 83193, 38, 595, 75078, 735, 8, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 7, 16, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 7861, 75078, 320, 15, 75078, 220, 16, 340, 1209, 16, 75078, 320, 83193, 38, 595, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 1209, 83193, 38, 8, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 6774, 83193, 38, 8, 75078, 220, 16, 8, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 595, 75078, 320, 15, 75078, 220, 16, 696, 3883, 512, 7, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 1192, 6774, 83193, 38, 8, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 8, 75078, 220, 16, 198, 7, 83193, 38, 8, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 38, 8, 75078, 320, 42, 75078, 735, 595, 75078, 220, 15, 198, 1209, 83193, 38, 8, 75078, 320, 42, 75078, 735, 595, 75078, 320, 16, 75078, 220, 15, 340, 1209, 42, 75078, 735, 8, 75078, 320, 83193, 38, 595, 75078, 320, 15, 75078, 220, 16, 340, 6774, 83193, 38, 8, 75078, 735, 8, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 1209, 83193, 38, 8, 75078, 735, 8, 75078, 320, 15, 75078, 220, 16, 340, 1163, 8477, 25, 320, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 38, 595, 75078, 320, 42, 75078, 735, 340, 15, 75078, 320, 16, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 6054, 7, 15, 75078, 220, 16, 8, 75078, 1819, 42, 75078, 735, 8, 75078, 320, 83193, 38, 1192, 7, 15, 75078, 220, 16, 8, 75078, 11861, 83193, 38, 8, 75078, 735, 8, 75078, 735, 340, 7, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 38, 8, 75078, 735, 340, 15, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 1192, 7, 16, 75078, 220, 15, 8, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 1192, 1163, 8477, 25, 220, 15, 75078, 320, 16, 75078, 1819, 83193, 38, 8, 75078, 320, 42, 75078, 735, 7861], "tokenizer": "cl100k_base", "tokens_len": 1058, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2227 (\u00acG)) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1))\n\nOptions:\n((K \u2227 K) \u2227 (0 \u2227 1)) \u2227 ((\u00ac0) \u2227 (\u00acG))\n(((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n(\u00ac0) \u2227 ((\u00acG) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1)))\n((\u00ac0) \u2227 (\u00acG)) \u2227 ((0 \u2227 1) \u2227 (K \u2227 K))\n((\u00ac0) \u2227 (\u00acG)) \u2227 (((K \u2227 K) \u2227 0) \u2227 1)\n((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 (K \u2227 (0 \u2227 1)))\n((\u00ac0) \u2227 (\u00acG)) \u2227 ((K \u2227 K) \u2227 0)\n((\u00ac0) \u2227 (\u00acG)) \u2227 ((K \u2227 K) \u2227 (1 \u2227 0))\n((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 (0 \u2227 1))\n((\u00acG) \u2227 (\u00ac0)) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1))\n(1 \u2227 (\u00acG)) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1))\nChosen: (((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n\nOptions:\n(0 \u2227 1) \u2227 (((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K))\n((((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 0) \u2227 1\n(((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 0\n(((\u00ac0) \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (1 \u2227 0)\n((K \u2227 K) \u2227 ((\u00ac0) \u2227 (\u00acG))) \u2227 (0 \u2227 1)\n((((\u00ac0) \u2227 (\u00acG)) \u2227 K) \u2227 K) \u2227 (0 \u2227 1)\n((\u00ac0) \u2227 ((\u00acG) \u2227 (K \u2227 K))) \u2227 (0 \u2227 1)\n(((\u00ac0) \u2227 (\u00acG)) \u2227 K) \u2227 (0 \u2227 1)\n(((\u00acG) \u2227 (\u00ac0)) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n((1 \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\nChosen: ((1 \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n\nOptions:\n(0 \u2227 1) \u2227 ((1 \u2227 (\u00acG)) \u2227 (K \u2227 K))\n(((1 \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 0) \u2227 1\n(1 \u2227 (\u00acG)) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1))\n((1 \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 0\n((1 \u2227 (\u00acG)) \u2227 (K \u2227 K)) \u2227 (1 \u2227 0)\n((K \u2227 K) \u2227 (1 \u2227 (\u00acG))) \u2227 (0 \u2227 1)\n(((1 \u2227 (\u00acG)) \u2227 K) \u2227 K) \u2227 (0 \u2227 1)\n(1 \u2227 ((\u00acG) \u2227 (K \u2227 K))) \u2227 (0 \u2227 1)\n((1 \u2227 (\u00acG)) \u2227 K) \u2227 (0 \u2227 1)\n((\u00acG) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n(((\u00acG) \u2227 1) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\nChosen: ((\u00acG) \u2227 (K \u2227 K)) \u2227 (0 \u2227 1)\n\nOptions:\n(0 \u2227 1) \u2227 ((\u00acG) \u2227 (K \u2227 K))\n(((\u00acG) \u2227 (K \u2227 K)) \u2227 0) \u2227 1\n(\u00acG) \u2227 ((K \u2227 K) \u2227 (0 \u2227 1))\n((\u00acG) \u2227 (K \u2227 K)) \u2227 0\n((\u00acG) \u2227 (K \u2227 K)) \u2227 (1 \u2227 0)\n((K \u2227 K) \u2227 (\u00acG)) \u2227 (0 \u2227 1)\n(((\u00acG) \u2227 K) \u2227 K) \u2227 (0 \u2227 1)\n((\u00acG) \u2227 K) \u2227 (0 \u2227 1)\nChosen: (0 \u2227 1) \u2227 ((\u00acG) \u2227 (K \u2227 K))\n\nOptions:\n((0 \u2227 1) \u2227 (\u00acG)) \u2227 (K \u2227 K)\n0 \u2227 (1 \u2227 ((\u00acG) \u2227 (K \u2227 K)))\n(0 \u2227 1) \u2227 ((K \u2227 K) \u2227 (\u00acG))\n(0 \u2227 1) \u2227 (((\u00acG) \u2227 K) \u2227 K)\n(0 \u2227 1) \u2227 ((\u00acG) \u2227 K)\n0 \u2227 ((\u00acG) \u2227 (K \u2227 K))\n(1 \u2227 0) \u2227 ((\u00acG) \u2227 (K \u2227 K))\nChosen: 0 \u2227 (1 \u2227 ((\u00acG) \u2227 (K \u2227 K)))", "id": 1785}, {"char_len": 671, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 16, 12264, 101, 468, 8, 12264, 101, 320, 56, 75078, 816, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 468, 595, 75078, 320, 83193, 7, 56, 75078, 816, 1192, 83193, 1209, 56, 75078, 816, 8, 12264, 101, 320, 16, 12264, 101, 468, 1192, 83193, 7, 16, 12264, 101, 320, 54, 12264, 101, 320, 56, 75078, 816, 6054, 83193, 6774, 16, 12264, 101, 468, 8, 12264, 101, 816, 8, 75078, 1819, 16, 12264, 101, 468, 8, 12264, 101, 816, 1192, 83193, 1209, 16, 12264, 101, 468, 8, 12264, 101, 816, 340, 83193, 7, 16, 12264, 101, 320, 56, 75078, 816, 1192, 83193, 1209, 54, 12264, 101, 220, 16, 8, 12264, 101, 320, 56, 75078, 816, 1192, 1163, 8477, 25, 97265, 1209, 54, 12264, 101, 220, 16, 8, 12264, 101, 320, 56, 75078, 816, 4489, 3883, 512, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 56, 75078, 816, 1192, 83193, 1209, 56, 75078, 816, 8, 12264, 101, 320, 54, 12264, 101, 220, 16, 1192, 83193, 7, 54, 12264, 101, 320, 16, 12264, 101, 320, 56, 75078, 816, 6054, 83193, 6774, 54, 12264, 101, 220, 16, 8, 12264, 101, 816, 8, 75078, 1819, 54, 12264, 101, 220, 16, 8, 12264, 101, 816, 1192, 83193, 1209, 54, 12264, 101, 220, 16, 8, 12264, 101, 816, 340, 83193, 7, 16, 12264, 101, 320, 56, 75078, 816, 1192, 1163, 8477, 25, 97265, 1209, 54, 12264, 101, 220, 16, 8, 12264, 101, 816, 696, 3883, 512, 7, 83193, 7, 54, 12264, 101, 220, 16, 595, 75078, 320, 83193, 56, 340, 83193, 7, 56, 12264, 101, 320, 54, 12264, 101, 220, 16, 1192, 83193, 7, 54, 12264, 101, 320, 16, 12264, 101, 816, 1192, 83193, 7, 16, 12264, 101, 816, 340, 83193, 1209, 16, 12264, 101, 468, 8, 12264, 101, 816, 340, 1163, 8477, 25, 97265, 7, 16, 12264, 101, 816, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 56, 340, 83193, 16, 198, 83193, 7, 56, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 16, 8, 75078, 320, 83193, 56, 696, 3883, 512, 7, 83193, 56, 8, 75078, 320, 83193, 16, 340, 15, 75078, 320, 83193, 56, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 56, 8], "tokenizer": "cl100k_base", "tokens_len": 391, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2228 W) \u2228 (Y \u2227 Y))\n\nOptions:\n(\u00ac(1 \u2228 W)) \u2227 (\u00ac(Y \u2227 Y))\n\u00ac((Y \u2227 Y) \u2228 (1 \u2228 W))\n\u00ac(1 \u2228 (W \u2228 (Y \u2227 Y)))\n\u00ac(((1 \u2228 W) \u2228 Y) \u2227 ((1 \u2228 W) \u2228 Y))\n\u00ac((1 \u2228 W) \u2228 Y)\n\u00ac(1 \u2228 (Y \u2227 Y))\n\u00ac((W \u2228 1) \u2228 (Y \u2227 Y))\nChosen: \u00ac((W \u2228 1) \u2228 (Y \u2227 Y))\n\nOptions:\n(\u00ac(W \u2228 1)) \u2227 (\u00ac(Y \u2227 Y))\n\u00ac((Y \u2227 Y) \u2228 (W \u2228 1))\n\u00ac(W \u2228 (1 \u2228 (Y \u2227 Y)))\n\u00ac(((W \u2228 1) \u2228 Y) \u2227 ((W \u2228 1) \u2228 Y))\n\u00ac((W \u2228 1) \u2228 Y)\n\u00ac(1 \u2228 (Y \u2227 Y))\nChosen: \u00ac((W \u2228 1) \u2228 Y)\n\nOptions:\n(\u00ac(W \u2228 1)) \u2227 (\u00acY)\n\u00ac(Y \u2228 (W \u2228 1))\n\u00ac(W \u2228 (1 \u2228 Y))\n\u00ac(1 \u2228 Y)\n\u00ac((1 \u2228 W) \u2228 Y)\nChosen: \u00ac(1 \u2228 Y)\n\nOptions:\n(\u00ac1) \u2227 (\u00acY)\n\u00ac1\n\u00ac(Y \u2228 1)\nChosen: (\u00ac1) \u2227 (\u00acY)\n\nOptions:\n(\u00acY) \u2227 (\u00ac1)\n0 \u2227 (\u00acY)\nChosen: 0 \u2227 (\u00acY)", "id": 1786}, {"char_len": 324, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 220, 16, 4489, 3883, 512, 16, 12264, 101, 220, 16, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 83193, 1209, 83193, 16, 8, 75078, 220, 15, 340, 83193, 7, 15, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 97265, 1209, 83193, 16, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 83193, 16, 1192, 83193, 7, 15, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 156, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(1 \u2228 1))\n\nOptions:\n1 \u2228 1\n\u00ac((\u00ac1) \u2227 (\u00ac1))\n\u00ac(\u00ac1)\nChosen: \u00ac((\u00ac1) \u2227 (\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac(\u00ac1))\n\u00ac((\u00ac1) \u2227 0)\n\u00ac(0 \u2227 (\u00ac1))\nChosen: \u00ac((\u00ac1) \u2227 0)\n\nOptions:\n(\u00ac(\u00ac1)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (\u00ac1))\n\u00ac(0 \u2227 0)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1787}, {"char_len": 1382, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 595, 75078, 1819, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 11861, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 35, 1192, 1209, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 35, 6054, 1209, 55, 75078, 1630, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 35, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 55, 75078, 1630, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1209, 55, 75078, 1630, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 1192, 7799, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 320, 55, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 595, 75078, 320, 55, 12264, 101, 320, 83193, 15, 1192, 1209, 55, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 55, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 35, 1192, 7799, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 7799, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 35, 6054, 7799, 12264, 101, 320, 83193, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 35, 1192, 1209, 83193, 15, 8, 12264, 101, 1630, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 1192, 7799, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 1630, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 35, 4489, 3883, 512, 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15, 8, 12264, 101, 1630, 8, 75078, 320, 16, 12264, 101, 320, 83193, 35, 1192, 7799, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 83193, 35, 8, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 1630, 8, 75078, 1819, 83193, 35, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 1630, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 891, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2227 X) \u2228 (\u00ac0)) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00acD)) \u2227 ((X \u2227 X) \u2228 (\u00ac0))\n(((X \u2227 X) \u2228 (\u00ac0)) \u2227 (1 \u2228 1)) \u2228 (((X \u2227 X) \u2228 (\u00ac0)) \u2227 (\u00acD))\n((X \u2227 X) \u2228 (\u00ac0)) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\n((X \u2227 X) \u2228 (\u00ac0)) \u2227 (1 \u2228 (1 \u2228 (\u00acD)))\n((X \u2227 X) \u2228 (\u00ac0)) \u2227 (1 \u2228 (\u00acD))\n((\u00ac0) \u2228 (X \u2227 X)) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n((X \u2227 X) \u2228 1) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n(X \u2228 (\u00ac0)) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\nChosen: (X \u2228 (\u00ac0)) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00acD)) \u2227 (X \u2228 (\u00ac0))\n((X \u2228 (\u00ac0)) \u2227 (1 \u2228 1)) \u2228 ((X \u2228 (\u00ac0)) \u2227 (\u00acD))\n(X \u2228 (\u00ac0)) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\n(X \u2228 (\u00ac0)) \u2227 (1 \u2228 (1 \u2228 (\u00acD)))\n(X \u2228 (\u00ac0)) \u2227 (1 \u2228 (\u00acD))\n((\u00ac0) \u2228 X) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n(X \u2228 1) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\nChosen: ((\u00ac0) \u2228 X) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\n\nOptions:\n((1 \u2228 1) \u2228 (\u00acD)) \u2227 ((\u00ac0) \u2228 X)\n(((\u00ac0) \u2228 X) \u2227 (1 \u2228 1)) \u2228 (((\u00ac0) \u2228 X) \u2227 (\u00acD))\n((\u00ac0) \u2228 X) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\n((\u00ac0) \u2228 X) \u2227 (1 \u2228 (1 \u2228 (\u00acD)))\n((\u00ac0) \u2228 X) \u2227 (1 \u2228 (\u00acD))\n(1 \u2228 X) \u2227 ((1 \u2228 1) \u2228 (\u00acD))\nChosen: ((\u00ac0) \u2228 X) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\n\nOptions:\n((\u00acD) \u2228 (1 \u2228 1)) \u2227 ((\u00ac0) \u2228 X)\n(((\u00ac0) \u2228 X) \u2227 (\u00acD)) \u2228 (((\u00ac0) \u2228 X) \u2227 (1 \u2228 1))\n((\u00ac0) \u2228 X) \u2227 (((\u00acD) \u2228 1) \u2228 1)\n((\u00ac0) \u2228 X) \u2227 ((\u00acD) \u2228 1)\n(X \u2228 (\u00ac0)) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\n(1 \u2228 X) \u2227 ((\u00acD) \u2228 (1 \u2228 1))\nChosen: ((\u00ac0) \u2228 X) \u2227 ((\u00acD) \u2228 1)\n\nOptions:\n((\u00acD) \u2228 1) \u2227 ((\u00ac0) \u2228 X)\n(((\u00ac0) \u2228 X) \u2227 (\u00acD)) \u2228 (((\u00ac0) \u2228 X) \u2227 1)\n((\u00ac0) \u2228 X) \u2227 1\n((\u00ac0) \u2228 X) \u2227 (1 \u2228 (\u00acD))\n(X \u2228 (\u00ac0)) \u2227 ((\u00acD) \u2228 1)\n(1 \u2228 X) \u2227 ((\u00acD) \u2228 1)\nChosen: ((\u00ac0) \u2228 X) \u2227 1", "id": 1788}, {"char_len": 2120, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 39, 8, 75078, 320, 39, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 15, 75078, 468, 4489, 3883, 512, 1209, 83193, 15, 8, 75078, 320, 15, 75078, 468, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 39, 12264, 101, 220, 16, 1192, 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1819, 83193, 15, 8, 75078, 320, 15, 75078, 468, 6054, 1163, 8477, 25, 320, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 320, 16, 75078, 320, 15, 75078, 468, 19789, 3883, 512, 1209, 16, 12264, 101, 473, 8, 75078, 320, 16, 75078, 320, 15, 75078, 468, 7861, 75078, 320, 83193, 39, 340, 1209, 83193, 39, 8, 75078, 320, 16, 12264, 101, 473, 595, 75078, 320, 16, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 12264, 101, 473, 1192, 7, 83193, 39, 8, 75078, 11861, 16, 12264, 101, 473, 8, 75078, 220, 16, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 1819, 15, 75078, 468, 8, 75078, 220, 16, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 12264, 101, 473, 8, 75078, 320, 16, 75078, 320, 54, 75078, 220, 15, 6054, 7, 83193, 39, 8, 75078, 320, 16, 75078, 320, 16, 75078, 320, 15, 75078, 468, 6054, 7, 83193, 39, 8, 75078, 1819, 39, 12264, 101, 220, 16, 8, 75078, 320, 16, 75078, 320, 15, 75078, 468, 6054, 1163, 8477, 25, 320, 83193, 39, 8, 75078, 320, 16, 75078, 320, 16, 75078, 320, 15, 75078, 468, 19789, 3883, 512, 7, 16, 75078, 320, 16, 75078, 320, 15, 75078, 468, 7861, 75078, 320, 83193, 39, 340, 1209, 83193, 39, 8, 75078, 220, 16, 8, 75078, 320, 16, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 320, 16, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 1819, 16, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 340, 7, 83193, 39, 8, 75078, 1819, 16, 75078, 220, 16, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 320, 16, 75078, 1819, 15, 75078, 468, 8, 75078, 220, 16, 1192, 7, 83193, 39, 8, 75078, 320, 16, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 468, 1192, 7, 83193, 39, 8, 75078, 320, 16, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 39, 8, 75078, 320, 16, 75078, 320, 16, 75078, 320, 54, 75078, 220, 15, 6054, 1163, 8477, 25, 320, 16, 75078, 320, 16, 75078, 320, 15, 75078, 468, 7861, 75078, 320, 83193, 39, 8], "tokenizer": "cl100k_base", "tokens_len": 1255, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acH) \u2227 (H \u2228 1)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n\nOptions:\n((\u00ac0) \u2227 (0 \u2227 W)) \u2227 ((\u00acH) \u2227 (H \u2228 1))\n(((\u00acH) \u2227 (H \u2228 1)) \u2227 (\u00ac0)) \u2227 (0 \u2227 W)\n(\u00acH) \u2227 ((H \u2228 1) \u2227 ((\u00ac0) \u2227 (0 \u2227 W)))\n((\u00acH) \u2227 (H \u2228 1)) \u2227 ((0 \u2227 W) \u2227 (\u00ac0))\n((\u00acH) \u2227 (H \u2228 1)) \u2227 (((\u00ac0) \u2227 0) \u2227 W)\n((\u00acH) \u2227 (H \u2228 1)) \u2227 ((\u00ac0) \u2227 0)\n((\u00acH) \u2227 (H \u2228 1)) \u2227 ((\u00ac0) \u2227 (W \u2227 0))\n((\u00acH) \u2227 (H \u2228 1)) \u2227 (1 \u2227 (0 \u2227 W))\n((H \u2228 1) \u2227 (\u00acH)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n(((\u00acH) \u2227 H) \u2228 ((\u00acH) \u2227 1)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n((\u00acH) \u2227 1) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\nChosen: ((\u00acH) \u2227 (1 \u2228 H)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n\nOptions:\n((\u00ac0) \u2227 (0 \u2227 W)) \u2227 ((\u00acH) \u2227 (1 \u2228 H))\n(((\u00acH) \u2227 (1 \u2228 H)) \u2227 (\u00ac0)) \u2227 (0 \u2227 W)\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((\u00ac0) \u2227 (0 \u2227 W)))\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 ((0 \u2227 W) \u2227 (\u00ac0))\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 (((\u00ac0) \u2227 0) \u2227 W)\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 ((\u00ac0) \u2227 0)\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 ((\u00ac0) \u2227 (W \u2227 0))\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 (1 \u2227 (0 \u2227 W))\n((1 \u2228 H) \u2227 (\u00acH)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n(((\u00acH) \u2227 1) \u2228 ((\u00acH) \u2227 H)) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\n((\u00acH) \u2227 1) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))\nChosen: (\u00acH) \u2227 ((1 \u2228 H) \u2227 ((\u00ac0) \u2227 (0 \u2227 W)))\n\nOptions:\n((1 \u2228 H) \u2227 ((\u00ac0) \u2227 (0 \u2227 W))) \u2227 (\u00acH)\n(\u00acH) \u2227 (((\u00ac0) \u2227 (0 \u2227 W)) \u2227 (1 \u2228 H))\n(\u00acH) \u2227 (((1 \u2228 H) \u2227 (\u00ac0)) \u2227 (0 \u2227 W))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((0 \u2227 W) \u2227 (\u00ac0)))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 (((\u00ac0) \u2227 0) \u2227 W))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((\u00ac0) \u2227 0))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((\u00ac0) \u2227 (W \u2227 0)))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 (1 \u2227 (0 \u2227 W)))\n(\u00acH) \u2227 (1 \u2227 ((\u00ac0) \u2227 (0 \u2227 W)))\n(\u00acH) \u2227 ((H \u2228 1) \u2227 ((\u00ac0) \u2227 (0 \u2227 W)))\nChosen: (\u00acH) \u2227 ((1 \u2228 H) \u2227 (1 \u2227 (0 \u2227 W)))\n\nOptions:\n((1 \u2228 H) \u2227 (1 \u2227 (0 \u2227 W))) \u2227 (\u00acH)\n((\u00acH) \u2227 (1 \u2228 H)) \u2227 (1 \u2227 (0 \u2227 W))\n(\u00acH) \u2227 ((1 \u2227 (0 \u2227 W)) \u2227 (1 \u2228 H))\n(\u00acH) \u2227 (((1 \u2228 H) \u2227 1) \u2227 (0 \u2227 W))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 (0 \u2227 W))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((0 \u2227 W) \u2227 1))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 ((1 \u2227 0) \u2227 W))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 (1 \u2227 0))\n(\u00acH) \u2227 ((1 \u2228 H) \u2227 (1 \u2227 (W \u2227 0)))\n(\u00acH) \u2227 (1 \u2227 (1 \u2227 (0 \u2227 W)))\n(\u00acH) \u2227 ((H \u2228 1) \u2227 (1 \u2227 (0 \u2227 W)))\nChosen: (\u00acH) \u2227 (1 \u2227 (1 \u2227 (0 \u2227 W)))\n\nOptions:\n(1 \u2227 (1 \u2227 (0 \u2227 W))) \u2227 (\u00acH)\n((\u00acH) \u2227 1) \u2227 (1 \u2227 (0 \u2227 W))\n(\u00acH) \u2227 (1 \u2227 (0 \u2227 W))\n(\u00acH) \u2227 ((1 \u2227 (0 \u2227 W)) \u2227 1)\n(\u00acH) \u2227 ((1 \u2227 1) \u2227 (0 \u2227 W))\n(\u00acH) \u2227 (1 \u2227 ((0 \u2227 W) \u2227 1))\n(\u00acH) \u2227 (1 \u2227 ((1 \u2227 0) \u2227 W))\n(\u00acH) \u2227 (1 \u2227 (1 \u2227 0))\n(\u00acH) \u2227 (1 \u2227 (1 \u2227 (W \u2227 0)))\nChosen: (1 \u2227 (1 \u2227 (0 \u2227 W))) \u2227 (\u00acH)", "id": 1789}, {"char_len": 201, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 15, 75078, 507, 4489, 3883, 512, 15, 75078, 507, 198, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 46, 1192, 83193, 7, 83193, 15, 340, 83193, 7, 83193, 7, 46, 75078, 220, 15, 1192, 1163, 8477, 25, 220, 15, 75078, 507, 271, 3883, 512, 15, 198, 46, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 79, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(0 \u2227 O))\n\nOptions:\n0 \u2227 O\n\u00ac((\u00ac0) \u2228 (\u00acO))\n\u00ac(\u00ac0)\n\u00ac(\u00ac(O \u2227 0))\nChosen: 0 \u2227 O\n\nOptions:\n0\nO \u2227 0\nChosen: 0", "id": 1790}, {"char_len": 2196, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 595, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 11861, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 15, 6054, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 43, 75078, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 362, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 4444, 12264, 101, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 7861, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 362, 8, 12264, 101, 445, 8, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 696, 3883, 512, 1209, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 16, 75078, 220, 15, 595, 75078, 220, 15, 198, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 198, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 16, 75078, 320, 15, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 43, 75078, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 362, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 4444, 12264, 101, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 7861, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 6774, 32, 12264, 101, 362, 8, 12264, 101, 445, 8, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 1163, 8477, 25, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 7, 15, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 198, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 220, 15, 340, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 43, 75078, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 362, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 4444, 12264, 101, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 7861, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 6774, 32, 12264, 101, 362, 8, 12264, 101, 445, 8, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 362, 8, 12264, 101, 320, 15, 75078, 445, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 4489, 3883, 512, 7, 15, 75078, 320, 16, 75078, 220, 15, 595, 75078, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 340, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 198, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 75078, 220, 15, 340, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 340, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 220, 15, 340, 4444, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 43, 75078, 220, 15, 8, 12264, 101, 362, 8, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 32, 12264, 101, 445, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 4444, 12264, 101, 220, 15, 8, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 4444, 12264, 101, 320, 15, 75078, 445, 595, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 32, 12264, 101, 320, 43, 75078, 220, 15, 1192, 1209, 43, 75078, 220, 15, 8, 12264, 101, 362, 8, 75078, 220, 15, 198, 1209, 32, 12264, 101, 445, 8, 75078, 320, 32, 12264, 101, 220, 15, 595, 75078, 220, 15, 198, 4444, 12264, 101, 220, 15, 8, 75078, 220, 15, 198, 4444, 12264, 101, 320, 15, 75078, 445, 595, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1403, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n\nOptions:\n((1 \u2227 0) \u2227 (0 \u2227 0)) \u2227 ((A \u2228 A) \u2228 (L \u2227 0))\n(((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (1 \u2227 0)) \u2227 (0 \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((0 \u2227 0) \u2227 (1 \u2227 0))\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (((1 \u2227 0) \u2227 0) \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (1 \u2227 (0 \u2227 (0 \u2227 0)))\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 (0 \u2227 0))\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((0 \u2227 1) \u2227 (0 \u2227 0))\n((L \u2227 0) \u2228 (A \u2228 A)) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n(A \u2228 (A \u2228 (L \u2227 0))) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n(((A \u2228 A) \u2228 L) \u2227 ((A \u2228 A) \u2228 0)) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n((A \u2228 A) \u2228 0) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n((A \u2228 A) \u2228 (0 \u2227 L)) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\n(A \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 (0 \u2227 0))\nChosen: ((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 0)\n\nOptions:\n((1 \u2227 0) \u2227 0) \u2227 ((A \u2228 A) \u2228 (L \u2227 0))\n(((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (1 \u2227 0)) \u2227 0\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 0\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 (1 \u2227 0))\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (1 \u2227 (0 \u2227 0))\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((0 \u2227 1) \u2227 0)\n((L \u2227 0) \u2228 (A \u2228 A)) \u2227 ((1 \u2227 0) \u2227 0)\n(A \u2228 (A \u2228 (L \u2227 0))) \u2227 ((1 \u2227 0) \u2227 0)\n(((A \u2228 A) \u2228 L) \u2227 ((A \u2228 A) \u2228 0)) \u2227 ((1 \u2227 0) \u2227 0)\n((A \u2228 A) \u2228 0) \u2227 ((1 \u2227 0) \u2227 0)\n((A \u2228 A) \u2228 (0 \u2227 L)) \u2227 ((1 \u2227 0) \u2227 0)\n(A \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 0)\nChosen: ((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 (1 \u2227 0))\n\nOptions:\n(0 \u2227 (1 \u2227 0)) \u2227 ((A \u2228 A) \u2228 (L \u2227 0))\n(((A \u2228 A) \u2228 (L \u2227 0)) \u2227 0) \u2227 (1 \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 0\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 ((0 \u2227 1) \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 0)\n((A \u2228 A) \u2228 (L \u2227 0)) \u2227 (0 \u2227 (0 \u2227 1))\n((L \u2227 0) \u2228 (A \u2228 A)) \u2227 (0 \u2227 (1 \u2227 0))\n(A \u2228 (A \u2228 (L \u2227 0))) \u2227 (0 \u2227 (1 \u2227 0))\n(((A \u2228 A) \u2228 L) \u2227 ((A \u2228 A) \u2228 0)) \u2227 (0 \u2227 (1 \u2227 0))\n((A \u2228 A) \u2228 0) \u2227 (0 \u2227 (1 \u2227 0))\n((A \u2228 A) \u2228 (0 \u2227 L)) \u2227 (0 \u2227 (1 \u2227 0))\n(A \u2228 (L \u2227 0)) \u2227 (0 \u2227 (1 \u2227 0))\nChosen: (A \u2228 (L \u2227 0)) \u2227 (0 \u2227 (1 \u2227 0))\n\nOptions:\n(0 \u2227 (1 \u2227 0)) \u2227 (A \u2228 (L \u2227 0))\n((A \u2228 (L \u2227 0)) \u2227 0) \u2227 (1 \u2227 0)\n(A \u2228 (L \u2227 0)) \u2227 0\n(A \u2228 (L \u2227 0)) \u2227 ((1 \u2227 0) \u2227 0)\n(A \u2228 (L \u2227 0)) \u2227 ((0 \u2227 1) \u2227 0)\n(A \u2228 (L \u2227 0)) \u2227 (0 \u2227 0)\n(A \u2228 (L \u2227 0)) \u2227 (0 \u2227 (0 \u2227 1))\n((L \u2227 0) \u2228 A) \u2227 (0 \u2227 (1 \u2227 0))\n((A \u2228 L) \u2227 (A \u2228 0)) \u2227 (0 \u2227 (1 \u2227 0))\n(A \u2228 0) \u2227 (0 \u2227 (1 \u2227 0))\n(A \u2228 (0 \u2227 L)) \u2227 (0 \u2227 (1 \u2227 0))\nChosen: (A \u2228 (L \u2227 0)) \u2227 0\n\nOptions:\n0\n0 \u2227 (A \u2228 (L \u2227 0))\n((L \u2227 0) \u2228 A) \u2227 0\n((A \u2228 L) \u2227 (A \u2228 0)) \u2227 0\n(A \u2228 0) \u2227 0\n(A \u2228 (0 \u2227 L)) \u2227 0\nChosen: 0", "id": 1791}, {"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, 45, 12264, 101, 220, 16, 4489, 3883, 512, 45, 12264, 101, 220, 16, 198, 83193, 1209, 83193, 45, 8, 75078, 320, 83193, 16, 1192, 83193, 7, 83193, 16, 340, 83193, 7, 83193, 7, 16, 12264, 101, 452, 1192, 1163, 8477, 25, 452, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 452, 198, 1163, 8477, 25, 220, 16, 12264, 101, 452, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 96, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(N \u2228 1))\n\nOptions:\nN \u2228 1\n\u00ac((\u00acN) \u2227 (\u00ac1))\n\u00ac(\u00ac1)\n\u00ac(\u00ac(1 \u2228 N))\nChosen: N \u2228 1\n\nOptions:\n1\n1 \u2228 N\nChosen: 1 \u2228 N\n\nOptions:\n1\nChosen: 1", "id": 1792}, {"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, 15, 4489, 3883, 512, 83193, 15, 198, 83193, 7, 83193, 16, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "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(\u00ac0))\n\nOptions:\n\u00ac0\n\u00ac(\u00ac1)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1793}, {"char_len": 1355, "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, 469, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 55, 12264, 101, 469, 4489, 3883, 512, 1209, 83193, 55, 8, 12264, 101, 320, 55, 12264, 101, 469, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 469, 1192, 1209, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 12264, 101, 469, 340, 7, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 1819, 55, 12264, 101, 469, 8, 12264, 101, 320, 83193, 55, 1192, 7, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 11861, 83193, 55, 8, 12264, 101, 1630, 8, 12264, 101, 469, 340, 7, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 36, 12264, 101, 1630, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 36, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 55, 12264, 101, 469, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 55, 12264, 101, 469, 1192, 7, 83193, 7, 36, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 55, 12264, 101, 469, 1192, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 12264, 101, 469, 696, 3883, 512, 7799, 12264, 101, 469, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 1192, 6774, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 1630, 8, 12264, 101, 469, 198, 1209, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 340, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 469, 7861, 12264, 101, 320, 55, 12264, 101, 469, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 12264, 101, 469, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 12264, 101, 469, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 55, 12264, 101, 469, 340, 1163, 8477, 25, 1819, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 696, 3883, 512, 10953, 12264, 101, 1630, 8, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 1192, 6774, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 7, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 320, 36, 12264, 101, 1630, 1192, 1209, 83193, 55, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 469, 7861, 12264, 101, 320, 36, 12264, 101, 1630, 340, 6774, 83193, 16, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 340, 1209, 83193, 7, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 340, 1163, 8477, 25, 11861, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 271, 3883, 512, 55, 12264, 101, 11861, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 340, 10953, 12264, 101, 1819, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1630, 198, 1209, 83193, 7, 16, 12264, 101, 469, 595, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 469, 595, 12264, 101, 1630, 198, 6774, 83193, 55, 8, 12264, 101, 320, 83193, 7, 16, 12264, 101, 469, 7861, 12264, 101, 469, 8, 12264, 101, 1630, 198, 67944, 83193, 16, 8, 75078, 320, 83193, 36, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 6774, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 6774, 83193, 7, 36, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 1163, 8477, 25, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 271, 3883, 512, 55, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 55, 595, 12264, 101, 320, 36, 12264, 101, 1630, 340, 10953, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 55, 7861, 12264, 101, 1630, 198, 1209, 83193, 16, 8, 12264, 101, 1819, 83193, 55, 8, 12264, 101, 469, 595, 12264, 101, 1630, 198, 6774, 83193, 55, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 1209, 15, 12264, 101, 320, 83193, 55, 595, 12264, 101, 469, 8, 12264, 101, 1630, 198, 1163, 8477, 25, 11861, 83193, 55, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 469, 8, 12264, 101, 1630], "tokenizer": "cl100k_base", "tokens_len": 896, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2228 E)) \u2228 ((\u00acX) \u2228 (X \u2228 E))\n\nOptions:\n((\u00acX) \u2228 (X \u2228 E)) \u2228 (\u00ac(1 \u2228 E))\n((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 (X \u2228 E)\n(\u00ac(1 \u2228 E)) \u2228 ((X \u2228 E) \u2228 (\u00acX))\n(\u00ac(1 \u2228 E)) \u2228 (((\u00acX) \u2228 X) \u2228 E)\n(\u00ac(1 \u2228 E)) \u2228 ((\u00acX) \u2228 (E \u2228 X))\n((\u00ac1) \u2227 (\u00acE)) \u2228 ((\u00acX) \u2228 (X \u2228 E))\n(\u00ac1) \u2228 ((\u00acX) \u2228 (X \u2228 E))\n(\u00ac(E \u2228 1)) \u2228 ((\u00acX) \u2228 (X \u2228 E))\nChosen: ((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 (X \u2228 E)\n\nOptions:\n(X \u2228 E) \u2228 ((\u00ac(1 \u2228 E)) \u2228 (\u00acX))\n(((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 X) \u2228 E\n((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 (E \u2228 X)\n((\u00acX) \u2228 (\u00ac(1 \u2228 E))) \u2228 (X \u2228 E)\n(((\u00ac1) \u2227 (\u00acE)) \u2228 (\u00acX)) \u2228 (X \u2228 E)\n((\u00ac1) \u2228 (\u00acX)) \u2228 (X \u2228 E)\n((\u00ac(E \u2228 1)) \u2228 (\u00acX)) \u2228 (X \u2228 E)\nChosen: ((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 (E \u2228 X)\n\nOptions:\n(E \u2228 X) \u2228 ((\u00ac(1 \u2228 E)) \u2228 (\u00acX))\n(((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 E) \u2228 X\n(\u00ac(1 \u2228 E)) \u2228 ((\u00acX) \u2228 (E \u2228 X))\n((\u00acX) \u2228 (\u00ac(1 \u2228 E))) \u2228 (E \u2228 X)\n(((\u00ac1) \u2227 (\u00acE)) \u2228 (\u00acX)) \u2228 (E \u2228 X)\n((\u00ac1) \u2228 (\u00acX)) \u2228 (E \u2228 X)\n((\u00ac(E \u2228 1)) \u2228 (\u00acX)) \u2228 (E \u2228 X)\nChosen: (((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 E) \u2228 X\n\nOptions:\nX \u2228 (((\u00ac(1 \u2228 E)) \u2228 (\u00acX)) \u2228 E)\n(E \u2228 ((\u00ac(1 \u2228 E)) \u2228 (\u00acX))) \u2228 X\n((\u00ac(1 \u2228 E)) \u2228 ((\u00acX) \u2228 E)) \u2228 X\n(((\u00acX) \u2228 (\u00ac(1 \u2228 E))) \u2228 E) \u2228 X\n((((\u00ac1) \u2227 (\u00acE)) \u2228 (\u00acX)) \u2228 E) \u2228 X\n(((\u00ac1) \u2228 (\u00acX)) \u2228 E) \u2228 X\n(((\u00ac(E \u2228 1)) \u2228 (\u00acX)) \u2228 E) \u2228 X\nChosen: (((\u00ac1) \u2228 (\u00acX)) \u2228 E) \u2228 X\n\nOptions:\nX \u2228 (((\u00ac1) \u2228 (\u00acX)) \u2228 E)\n((\u00ac1) \u2228 (\u00acX)) \u2228 (E \u2228 X)\n(E \u2228 ((\u00ac1) \u2228 (\u00acX))) \u2228 X\n((\u00ac1) \u2228 ((\u00acX) \u2228 E)) \u2228 X\n(((\u00acX) \u2228 (\u00ac1)) \u2228 E) \u2228 X\n((0 \u2228 (\u00acX)) \u2228 E) \u2228 X\nChosen: (((\u00acX) \u2228 (\u00ac1)) \u2228 E) \u2228 X", "id": 1794}, {"char_len": 1727, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 1192, 6774, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 11861, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 220, 15, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 507, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 6774, 16, 12264, 101, 220, 15, 8, 75078, 386, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 507, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 46, 12264, 101, 386, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 1192, 6774, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 220, 16, 8, 75078, 11861, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 220, 15, 198, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 1209, 44, 12264, 101, 507, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 6774, 16, 12264, 101, 220, 15, 8, 75078, 386, 8, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 220, 15, 8, 75078, 320, 46, 12264, 101, 386, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 320, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 320, 16, 75078, 320, 44, 12264, 101, 507, 1192, 1209, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 220, 16, 8, 75078, 1819, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 1192, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 83193, 16, 340, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 320, 16, 75078, 220, 15, 340, 3269, 12264, 101, 507, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 386, 8, 12264, 101, 320, 16, 75078, 507, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 7, 16, 75078, 320, 46, 12264, 101, 386, 595, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 4489, 3883, 512, 7, 16, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 44, 12264, 101, 507, 8, 75078, 220, 16, 340, 6774, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 1209, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 16, 340, 1209, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 340, 3269, 12264, 101, 507, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1209, 46, 12264, 101, 386, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 507, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 271, 3883, 512, 3269, 12264, 101, 507, 8, 75078, 220, 16, 198, 15, 12264, 101, 1819, 44, 12264, 101, 507, 8, 75078, 220, 16, 340, 3269, 12264, 101, 507, 8, 12264, 101, 220, 15, 198, 7, 16, 75078, 320, 44, 12264, 101, 507, 595, 12264, 101, 220, 15, 198, 1209, 46, 12264, 101, 386, 8, 75078, 220, 16, 8, 12264, 101, 220, 15, 198, 1163, 8477, 25, 320, 44, 12264, 101, 507, 8, 75078, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1141, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\n\nOptions:\n((1 \u2228 0) \u2227 (\u00ac1)) \u2228 ((1 \u2228 0) \u2227 (M \u2228 O))\n(((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (1 \u2228 0)) \u2227 (((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (\u00ac1))\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 ((\u00ac1) \u2227 (1 \u2228 0))\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 ((1 \u2228 0) \u2227 0)\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (1 \u2227 (\u00ac1))\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 ((0 \u2228 1) \u2227 (\u00ac1))\n((M \u2228 O) \u2227 (1 \u2228 0)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\n(((1 \u2228 0) \u2227 M) \u2228 ((1 \u2228 0) \u2227 O)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\n((1 \u2228 0) \u2227 (O \u2228 M)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\n(1 \u2227 (M \u2228 O)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\n((0 \u2228 1) \u2227 (M \u2228 O)) \u2228 ((1 \u2228 0) \u2227 (\u00ac1))\nChosen: ((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2228 ((1 \u2228 0) \u2227 (M \u2228 O))\n(((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 1) \u2227 (((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (\u00ac1))\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (\u00ac1)\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 0\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 ((\u00ac1) \u2227 1)\n((1 \u2228 0) \u2227 (M \u2228 O)) \u2228 (1 \u2227 0)\n((M \u2228 O) \u2227 (1 \u2228 0)) \u2228 (1 \u2227 (\u00ac1))\n(((1 \u2228 0) \u2227 M) \u2228 ((1 \u2228 0) \u2227 O)) \u2228 (1 \u2227 (\u00ac1))\n((1 \u2228 0) \u2227 (O \u2228 M)) \u2228 (1 \u2227 (\u00ac1))\n(1 \u2227 (M \u2228 O)) \u2228 (1 \u2227 (\u00ac1))\n((0 \u2228 1) \u2227 (M \u2228 O)) \u2228 (1 \u2227 (\u00ac1))\nChosen: (1 \u2227 (M \u2228 O)) \u2228 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2228 (1 \u2227 (M \u2228 O))\n((1 \u2227 (M \u2228 O)) \u2228 1) \u2227 ((1 \u2227 (M \u2228 O)) \u2228 (\u00ac1))\n(1 \u2227 (M \u2228 O)) \u2228 (\u00ac1)\n(1 \u2227 (M \u2228 O)) \u2228 0\n(1 \u2227 (M \u2228 O)) \u2228 ((\u00ac1) \u2227 1)\n(1 \u2227 (M \u2228 O)) \u2228 (1 \u2227 0)\n(M \u2228 O) \u2228 (1 \u2227 (\u00ac1))\n((M \u2228 O) \u2227 1) \u2228 (1 \u2227 (\u00ac1))\n((1 \u2227 M) \u2228 (1 \u2227 O)) \u2228 (1 \u2227 (\u00ac1))\n(1 \u2227 (O \u2228 M)) \u2228 (1 \u2227 (\u00ac1))\nChosen: ((M \u2228 O) \u2227 1) \u2228 (1 \u2227 (\u00ac1))\n\nOptions:\n(1 \u2227 (\u00ac1)) \u2228 ((M \u2228 O) \u2227 1)\n(((M \u2228 O) \u2227 1) \u2228 1) \u2227 (((M \u2228 O) \u2227 1) \u2228 (\u00ac1))\n((M \u2228 O) \u2227 1) \u2228 (\u00ac1)\n((M \u2228 O) \u2227 1) \u2228 0\n((M \u2228 O) \u2227 1) \u2228 ((\u00ac1) \u2227 1)\n((M \u2228 O) \u2227 1) \u2228 (1 \u2227 0)\n(M \u2228 O) \u2228 (1 \u2227 (\u00ac1))\n((O \u2228 M) \u2227 1) \u2228 (1 \u2227 (\u00ac1))\nChosen: ((M \u2228 O) \u2227 1) \u2228 0\n\nOptions:\n(M \u2228 O) \u2227 1\n0 \u2228 ((M \u2228 O) \u2227 1)\n(M \u2228 O) \u2228 0\n(1 \u2227 (M \u2228 O)) \u2228 0\n((O \u2228 M) \u2227 1) \u2228 0\nChosen: (M \u2228 O) \u2227 1", "id": 1795}, {"char_len": 384, "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, 15, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 12264, 101, 220, 15, 1192, 83193, 1209, 15, 12264, 101, 220, 15, 8, 75078, 320, 16, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 75078, 320, 15, 12264, 101, 220, 15, 6054, 83193, 6774, 16, 75078, 220, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 75078, 220, 15, 1192, 83193, 1209, 16, 75078, 220, 16, 8, 75078, 220, 15, 340, 83193, 7, 16, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 16, 75078, 220, 16, 8, 75078, 220, 15, 696, 3883, 512, 7, 83193, 7, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 15, 340, 83193, 15, 198, 83193, 7, 15, 75078, 320, 16, 75078, 220, 16, 1192, 83193, 7, 16, 75078, 320, 16, 75078, 220, 15, 1192, 83193, 7, 16, 75078, 220, 15, 340, 1163, 8477, 25, 97265, 15, 271, 3883, 512, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 203, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((1 \u2227 1) \u2227 (0 \u2228 0))\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2228 (\u00ac(0 \u2228 0))\n\u00ac((0 \u2228 0) \u2227 (1 \u2227 1))\n\u00ac(1 \u2227 (1 \u2227 (0 \u2228 0)))\n\u00ac(((1 \u2227 1) \u2227 0) \u2228 ((1 \u2227 1) \u2227 0))\n\u00ac((1 \u2227 1) \u2227 0)\n\u00ac(1 \u2227 (0 \u2228 0))\nChosen: \u00ac((1 \u2227 1) \u2227 0)\n\nOptions:\n(\u00ac(1 \u2227 1)) \u2228 (\u00ac0)\n\u00ac0\n\u00ac(0 \u2227 (1 \u2227 1))\n\u00ac(1 \u2227 (1 \u2227 0))\n\u00ac(1 \u2227 0)\nChosen: \u00ac0\n\nOptions:\n1\nChosen: 1", "id": 1796}, {"char_len": 1406, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 423, 4489, 3883, 512, 1209, 35, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 423, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 423, 340, 7, 83193, 57, 8, 75078, 1819, 83193, 57, 8, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 423, 6054, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 16, 12264, 101, 423, 8, 75078, 320, 35, 75078, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 320, 15, 75078, 320, 16, 12264, 101, 423, 6054, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 11861, 35, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 35, 75078, 220, 15, 8, 75078, 423, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 220, 16, 340, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 320, 35, 12264, 101, 220, 16, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 15, 75078, 320, 16, 12264, 101, 423, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 320, 16, 12264, 101, 423, 1192, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 220, 16, 696, 3883, 512, 1209, 35, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 220, 15, 595, 75078, 220, 16, 198, 7, 83193, 57, 8, 75078, 1819, 83193, 57, 8, 75078, 1819, 35, 75078, 220, 15, 8, 75078, 220, 16, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 220, 15, 340, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 16, 75078, 320, 35, 75078, 220, 15, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 15, 75078, 220, 16, 340, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 15, 75078, 423, 8, 75078, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 320, 15, 75078, 220, 16, 4489, 3883, 512, 5549, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 6774, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 423, 8, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 57, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 35, 75078, 320, 15, 75078, 220, 16, 6054, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 423, 340, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 220, 15, 340, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 35, 75078, 320, 15, 75078, 220, 16, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 4489, 3883, 512, 1209, 35, 75078, 320, 15, 75078, 220, 16, 595, 75078, 320, 83193, 57, 595, 75078, 320, 83193, 57, 340, 35, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 423, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 1209, 35, 75078, 220, 15, 8, 75078, 220, 16, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 5549, 75078, 220, 15, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 5549, 75078, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 320, 35, 75078, 220, 15, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 4489, 3883, 512, 1209, 83193, 57, 8, 75078, 320, 83193, 57, 595, 75078, 320, 35, 75078, 220, 15, 340, 1209, 35, 75078, 220, 15, 8, 75078, 320, 83193, 57, 595, 75078, 320, 83193, 57, 340, 35, 75078, 320, 15, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 6054, 15, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 7, 15, 75078, 423, 8, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 1192, 1163, 8477, 25, 220, 15, 75078, 1819, 83193, 57, 8, 75078, 320, 83193, 57, 595], "tokenizer": "cl100k_base", "tokens_len": 822, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acZ) \u2227 (\u00acZ)) \u2227 ((D \u2227 0) \u2227 (1 \u2228 D))\n\nOptions:\n((D \u2227 0) \u2227 (1 \u2228 D)) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 0)) \u2227 (1 \u2228 D)\n(\u00acZ) \u2227 ((\u00acZ) \u2227 ((D \u2227 0) \u2227 (1 \u2228 D)))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((1 \u2228 D) \u2227 (D \u2227 0))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 (0 \u2227 (1 \u2228 D)))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (((D \u2227 0) \u2227 1) \u2228 ((D \u2227 0) \u2227 D))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((D \u2227 0) \u2227 1)\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((D \u2227 0) \u2227 (D \u2228 1))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (0 \u2227 (1 \u2228 D))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((0 \u2227 D) \u2227 (1 \u2228 D))\nChosen: ((\u00acZ) \u2227 (\u00acZ)) \u2227 ((D \u2227 0) \u2227 1)\n\nOptions:\n((D \u2227 0) \u2227 1) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 0)) \u2227 1\n(\u00acZ) \u2227 ((\u00acZ) \u2227 ((D \u2227 0) \u2227 1))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 0)\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (1 \u2227 (D \u2227 0))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 (0 \u2227 1))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (0 \u2227 1)\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((0 \u2227 D) \u2227 1)\nChosen: ((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 (0 \u2227 1))\n\nOptions:\n(D \u2227 (0 \u2227 1)) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(((\u00acZ) \u2227 (\u00acZ)) \u2227 D) \u2227 (0 \u2227 1)\n(\u00acZ) \u2227 ((\u00acZ) \u2227 (D \u2227 (0 \u2227 1)))\n((\u00acZ) \u2227 (\u00acZ)) \u2227 ((0 \u2227 1) \u2227 D)\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 0)\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 (1 \u2227 0))\nChosen: (D \u2227 (0 \u2227 1)) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n\nOptions:\n((D \u2227 (0 \u2227 1)) \u2227 (\u00acZ)) \u2227 (\u00acZ)\nD \u2227 ((0 \u2227 1) \u2227 ((\u00acZ) \u2227 (\u00acZ)))\n((0 \u2227 1) \u2227 D) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n((D \u2227 0) \u2227 1) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(D \u2227 0) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(D \u2227 (1 \u2227 0)) \u2227 ((\u00acZ) \u2227 (\u00acZ))\nChosen: (D \u2227 0) \u2227 ((\u00acZ) \u2227 (\u00acZ))\n\nOptions:\n((\u00acZ) \u2227 (\u00acZ)) \u2227 (D \u2227 0)\n((D \u2227 0) \u2227 (\u00acZ)) \u2227 (\u00acZ)\nD \u2227 (0 \u2227 ((\u00acZ) \u2227 (\u00acZ)))\n0 \u2227 ((\u00acZ) \u2227 (\u00acZ))\n(0 \u2227 D) \u2227 ((\u00acZ) \u2227 (\u00acZ))\nChosen: 0 \u2227 ((\u00acZ) \u2227 (\u00acZ))", "id": 1797}, {"char_len": 5285, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 75078, 320, 16, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 16, 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1819, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 6054, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 6054, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 15, 340, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 1192, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 16, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 7861, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 67944, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 1209, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 67944, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 6774, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 696, 3883, 512, 67944, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 595, 12264, 101, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 220, 16, 198, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 1192, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 7861, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 1209, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 11861, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 16, 8, 12264, 101, 1819, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 7861, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 15, 75078, 220, 15, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 7861, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 16, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 220, 15, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 67944, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 6774, 15, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1209, 15, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 52200, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 75078, 320, 16, 12264, 101, 11861, 15, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 220, 16, 595], "tokenizer": "cl100k_base", "tokens_len": 3665, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 ((\u00ac1) \u2227 (1 \u2228 1))\n\nOptions:\n((\u00ac1) \u2227 (1 \u2228 1)) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))\n(0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 ((\u00ac1) \u2227 (1 \u2228 1)))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 ((1 \u2228 1) \u2227 (\u00ac1))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (((\u00ac1) \u2227 1) \u2228 ((\u00ac1) \u2227 1))\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 ((\u00ac1) \u2227 1)\n((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (0 \u2227 (1 \u2228 1))\n((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 ((\u00ac1) \u2227 (1 \u2228 1))\n(((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 ((\u00ac1) \u2227 (1 \u2228 1))\n((0 \u2227 0) \u2228 1) \u2228 ((\u00ac1) \u2227 (1 \u2228 1))\n(0 \u2228 (1 \u2227 1)) \u2228 ((\u00ac1) \u2227 (1 \u2228 1))\nChosen: (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n\nOptions:\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2228 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (1 \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((1 \u2228 1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1)))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 1)))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (1 \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (1 \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 1) \u2228 (1 \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((0 \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n((\u00ac1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (\u00ac1))) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 0) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n(((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n(((0 \u2227 0) \u2228 1) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\n((0 \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1))\nChosen: (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n\nOptions:\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2228 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (\u00ac1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 ((\u00ac1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1)))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 ((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (\u00ac1)))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 0)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 ((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 1) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 ((0 \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((1 \u2228 1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (1 \u2228 1))) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 1) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((0 \u2228 (1 \u2227 1)) \u2228 (1 \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\nChosen: ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n\nOptions:\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n(((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2228 (((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 ((\u00ac1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1)))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 ((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (\u00ac1)))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 0)\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 ((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 1) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 ((0 \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n1 \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(1 \u2228 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(1 \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((1 \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 1)) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n((((0 \u2227 0) \u2228 1) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\n(((0 \u2228 (1 \u2227 1)) \u2228 1) \u2228 1) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1))\nChosen: (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n\nOptions:\n((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1)) \u2228 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 1\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (1 \u2228 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1))\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (1 \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((1 \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 1)) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 1) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (((0 \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n((\u00ac1) \u2228 ((0 \u2227 0) \u2228 (1 \u2227 1))) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n((0 \u2227 0) \u2228 ((1 \u2227 1) \u2228 (\u00ac1))) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 0) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n(((1 \u2227 1) \u2228 (0 \u2227 0)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n((((0 \u2227 0) \u2228 1) \u2227 ((0 \u2227 0) \u2228 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n(((0 \u2227 0) \u2228 1) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\n((0 \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 ((((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1) \u2228 1)\nChosen: (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 (\u00ac1)) \u2227 (1 \u2228 (((0 \u2227 0) \u2228 (1 \u2227 1)) \u2228 1))", "id": 1798}, {"char_len": 2705, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 38, 12264, 101, 220, 15, 8, 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101, 480, 8, 75078, 1819, 53, 12264, 101, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 83193, 15, 7861], "tokenizer": "cl100k_base", "tokens_len": 1763, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((G \u2228 0) \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2227 0) \u2228 (\u00ac0)) \u2227 ((G \u2228 0) \u2227 (V \u2228 0))\n(G \u2228 0) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(((G \u2228 0) \u2227 (V \u2228 0)) \u2227 (1 \u2227 0)) \u2228 (((G \u2228 0) \u2227 (V \u2228 0)) \u2227 (\u00ac0))\n((G \u2228 0) \u2227 (V \u2228 0)) \u2227 ((\u00ac0) \u2228 (1 \u2227 0))\n((G \u2228 0) \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 1)\n((G \u2228 0) \u2227 (V \u2228 0)) \u2227 (0 \u2228 (\u00ac0))\n((G \u2228 0) \u2227 (V \u2228 0)) \u2227 ((0 \u2227 1) \u2228 (\u00ac0))\n((V \u2228 0) \u2227 (G \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(((G \u2228 0) \u2227 V) \u2228 ((G \u2228 0) \u2227 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((G \u2228 0) \u2227 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((G \u2228 0) \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(G \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\nChosen: ((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2227 0) \u2228 (\u00ac0)) \u2227 ((0 \u2228 G) \u2227 (V \u2228 0))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 (1 \u2227 0)) \u2228 (((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 (\u00ac0))\n((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 ((\u00ac0) \u2228 (1 \u2227 0))\n((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 1)\n((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 (0 \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 (V \u2228 0)) \u2227 ((0 \u2227 1) \u2228 (\u00ac0))\n((V \u2228 0) \u2227 (0 \u2228 G)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(((0 \u2228 G) \u2227 V) \u2228 ((0 \u2228 G) \u2227 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(G \u2227 (V \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\nChosen: ((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n\nOptions:\n((1 \u2227 0) \u2228 (\u00ac0)) \u2227 ((0 \u2228 G) \u2227 (0 \u2228 V))\n(0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 (1 \u2227 0)) \u2228 (((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 (\u00ac0))\n((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 ((\u00ac0) \u2228 (1 \u2227 0))\n((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 1)\n((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 (0 \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 (0 \u2228 V)) \u2227 ((0 \u2227 1) \u2228 (\u00ac0))\n((0 \u2228 V) \u2227 (0 \u2228 G)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(((0 \u2228 G) \u2227 0) \u2228 ((0 \u2228 G) \u2227 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((0 \u2228 G) \u2227 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n(G \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\n((G \u2228 0) \u2227 (0 \u2228 V)) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))\nChosen: (0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n\nOptions:\n((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))) \u2227 (0 \u2228 G)\n(0 \u2228 G) \u2227 (((1 \u2227 0) \u2228 (\u00ac0)) \u2227 (0 \u2228 V))\n(0 \u2228 G) \u2227 (((0 \u2228 V) \u2227 (1 \u2227 0)) \u2228 ((0 \u2228 V) \u2227 (\u00ac0)))\n(0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 ((\u00ac0) \u2228 (1 \u2227 0)))\n(0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 1))\n(0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 (0 \u2228 (\u00ac0)))\n(0 \u2228 G) \u2227 ((0 \u2228 V) \u2227 ((0 \u2227 1) \u2228 (\u00ac0)))\n(0 \u2228 G) \u2227 (V \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\nG \u2227 ((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(G \u2228 0) \u2227 ((0 \u2228 V) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\nChosen: (0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n\nOptions:\n((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0))) \u2227 (0 \u2228 G)\n(0 \u2228 G) \u2227 (((1 \u2227 0) \u2228 (\u00ac0)) \u2227 (V \u2228 0))\n(0 \u2228 G) \u2227 (((V \u2228 0) \u2227 (1 \u2227 0)) \u2228 ((V \u2228 0) \u2227 (\u00ac0)))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((\u00ac0) \u2228 (1 \u2227 0)))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 1))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 (0 \u2228 (\u00ac0)))\n(0 \u2228 G) \u2227 ((V \u2228 0) \u2227 ((0 \u2227 1) \u2228 (\u00ac0)))\n(0 \u2228 G) \u2227 (V \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\nG \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\n(G \u2228 0) \u2227 ((V \u2228 0) \u2227 ((1 \u2227 0) \u2228 (\u00ac0)))\nChosen: (0 \u2228 G) \u2227 ((V \u2228 0) \u2227 (0 \u2228 (\u00ac0)))", "id": 1799}, {"char_len": 2898, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 328, 595, 12264, 101, 1819, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 1192, 6774, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 16, 12264, 101, 328, 340, 1209, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 328, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 328, 340, 1209, 16, 75078, 650, 8, 75078, 320, 53, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 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16, 75078, 650, 8, 75078, 650, 8, 12264, 101, 1819, 16, 75078, 650, 8, 12264, 101, 220, 16, 340, 1209, 16, 75078, 650, 8, 12264, 101, 1819, 16, 75078, 650, 8, 75078, 650, 595, 12264, 101, 220, 16, 198, 67944, 16, 75078, 650, 8, 75078, 650, 8, 12264, 101, 220, 16, 8, 75078, 11861, 16, 75078, 650, 8, 75078, 650, 8, 12264, 101, 650, 595, 12264, 101, 220, 16, 198, 6774, 16, 75078, 650, 8, 75078, 650, 8, 12264, 101, 650, 8, 12264, 101, 220, 16, 198, 6774, 16, 75078, 650, 8, 75078, 650, 8, 12264, 101, 320, 53, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 53, 75078, 320, 16, 75078, 650, 595, 12264, 101, 320, 16, 75078, 650, 595, 12264, 101, 220, 16, 198, 1209, 16, 75078, 320, 53, 75078, 650, 595, 12264, 101, 320, 16, 75078, 650, 595, 12264, 101, 220, 16, 198, 1209, 53, 75078, 650, 8, 12264, 101, 320, 16, 75078, 650, 595, 12264, 101, 220, 16, 198, 6774, 53, 75078, 220, 16, 8, 75078, 650, 8, 12264, 101, 320, 16, 75078, 650, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1893, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2228 S)) \u2228 ((1 \u2227 V) \u2227 (V \u2228 1))\n(((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (\u00ac1)) \u2228 (1 \u2228 S)\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 ((1 \u2228 S) \u2228 (\u00ac1))\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (((\u00ac1) \u2228 1) \u2228 S)\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 1)\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 (S \u2228 1))\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (0 \u2228 (1 \u2228 S))\n((V \u2228 1) \u2227 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n(1 \u2227 (V \u2227 (V \u2228 1))) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n(((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n((1 \u2227 V) \u2227 1) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n((1 \u2227 V) \u2227 (1 \u2228 V)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n(V \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\n((V \u2227 1) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 (1 \u2228 S))\nChosen: ((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 1)\n\nOptions:\n((\u00ac1) \u2228 1) \u2228 ((1 \u2227 V) \u2227 (V \u2228 1))\n(((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (\u00ac1)) \u2228 1\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 1\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (1 \u2228 (\u00ac1))\n((1 \u2227 V) \u2227 (V \u2228 1)) \u2228 (0 \u2228 1)\n((V \u2228 1) \u2227 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n(1 \u2227 (V \u2227 (V \u2228 1))) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n((1 \u2227 V) \u2227 1) \u2228 ((\u00ac1) \u2228 1)\n((1 \u2227 V) \u2227 (1 \u2228 V)) \u2228 ((\u00ac1) \u2228 1)\n(V \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 1)\n((V \u2227 1) \u2227 (V \u2228 1)) \u2228 ((\u00ac1) \u2228 1)\nChosen: (((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n\nOptions:\n((\u00ac1) \u2228 1) \u2228 (((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1))\n((((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 (\u00ac1)) \u2228 1\n((1 \u2227 V) \u2227 V) \u2228 (((1 \u2227 V) \u2227 1) \u2228 ((\u00ac1) \u2228 1))\n(((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 1\n(((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 (1 \u2228 (\u00ac1))\n(((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 (0 \u2228 1)\n(((1 \u2227 V) \u2227 1) \u2228 ((1 \u2227 V) \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n((((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2227 (((1 \u2227 V) \u2227 V) \u2228 1)) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 (1 \u2227 V))) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 (V \u2227 1))) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 (V \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 ((V \u2227 1) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n((V \u2227 (1 \u2227 V)) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n((1 \u2227 (V \u2227 V)) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n((V \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n(((V \u2227 1) \u2227 V) \u2228 ((1 \u2227 V) \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\nChosen: (((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n\nOptions:\n((\u00ac1) \u2228 1) \u2228 (((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V))\n((((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 (\u00ac1)) \u2228 1\n((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2228 ((\u00ac1) \u2228 1))\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 1\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 (1 \u2228 (\u00ac1))\n(((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 (0 \u2228 1)\n((1 \u2227 V) \u2228 ((1 \u2227 V) \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n((((1 \u2227 V) \u2227 V) \u2228 1) \u2227 (((1 \u2227 V) \u2227 V) \u2228 V)) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 V) \u2228 ((\u00ac1) \u2228 1)\n(((1 \u2227 V) \u2227 V) \u2228 (V \u2227 1)) \u2228 ((\u00ac1) \u2228 1)\n((V \u2227 (1 \u2227 V)) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n((1 \u2227 (V \u2227 V)) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n((V \u2227 V) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\n(((V \u2227 1) \u2227 V) \u2228 (1 \u2227 V)) \u2228 ((\u00ac1) \u2228 1)\nChosen: (((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V)) \u2228 1\n\nOptions:\n1\n1 \u2228 (((1 \u2227 V) \u2227 V) \u2228 (1 \u2227 V))\n((1 \u2227 V) \u2227 V) \u2228 ((1 \u2227 V) \u2228 1)\n((1 \u2227 V) \u2228 ((1 \u2227 V) \u2227 V)) \u2228 1\n((((1 \u2227 V) \u2227 V) \u2228 1) \u2227 (((1 \u2227 V) \u2227 V) \u2228 V)) \u2228 1\n(((1 \u2227 V) \u2227 V) \u2228 V) \u2228 1\n(((1 \u2227 V) \u2227 V) \u2228 (V \u2227 1)) \u2228 1\n((V \u2227 (1 \u2227 V)) \u2228 (1 \u2227 V)) \u2228 1\n((1 \u2227 (V \u2227 V)) \u2228 (1 \u2227 V)) \u2228 1\n((V \u2227 V) \u2228 (1 \u2227 V)) \u2228 1\n(((V \u2227 1) \u2227 V) \u2228 (1 \u2227 V)) \u2228 1\nChosen: 1", "id": 1800}, {"char_len": 1436, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 35, 8, 75078, 1819, 15, 75078, 468, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 75078, 220, 16, 595, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 15, 75078, 468, 8, 75078, 320, 83193, 35, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 468, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 54, 75078, 220, 15, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 35, 8, 75078, 1819, 15, 75078, 468, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 6054, 6774, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 198, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 1209, 15, 75078, 468, 8, 75078, 320, 83193, 35, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 468, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 35, 8, 75078, 320, 54, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 16, 12264, 101, 220, 15, 696, 3883, 512, 7, 16, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 35, 8, 75078, 1819, 15, 75078, 468, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 8, 12264, 101, 11861, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 15, 340, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 198, 1209, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 320, 15, 12264, 101, 220, 16, 340, 1209, 15, 75078, 468, 8, 75078, 320, 83193, 35, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 468, 8, 75078, 320, 16, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 340, 1209, 83193, 35, 8, 75078, 320, 54, 75078, 220, 15, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 595, 75078, 220, 16, 271, 3883, 512, 7, 83193, 35, 8, 75078, 320, 15, 75078, 468, 340, 16, 75078, 1819, 83193, 35, 8, 75078, 320, 15, 75078, 468, 1192, 7, 83193, 35, 8, 75078, 1819, 15, 75078, 468, 8, 75078, 220, 16, 340, 1209, 15, 75078, 468, 8, 75078, 320, 83193, 35, 595, 75078, 220, 16, 198, 6774, 83193, 35, 8, 75078, 220, 15, 8, 75078, 468, 8, 75078, 220, 16, 198, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 220, 16, 198, 1209, 83193, 35, 8, 75078, 320, 54, 75078, 220, 15, 595, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 320, 15, 75078, 468, 696, 3883, 512, 7, 15, 75078, 468, 8, 75078, 320, 83193, 35, 340, 1209, 83193, 35, 8, 75078, 220, 15, 8, 75078, 468, 198, 7, 83193, 35, 8, 75078, 220, 15, 198, 7, 83193, 35, 8, 75078, 320, 54, 75078, 220, 15, 340, 1163, 8477, 25, 320, 83193, 35, 8, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 869, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acD) \u2227 (0 \u2227 W)) \u2227 ((1 \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((1 \u2227 1) \u2228 (\u00ac1)) \u2227 ((\u00acD) \u2227 (0 \u2227 W))\n(\u00acD) \u2227 ((0 \u2227 W) \u2227 ((1 \u2227 1) \u2228 (\u00ac1)))\n(((\u00acD) \u2227 (0 \u2227 W)) \u2227 (1 \u2227 1)) \u2228 (((\u00acD) \u2227 (0 \u2227 W)) \u2227 (\u00ac1))\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 ((\u00ac1) \u2228 (1 \u2227 1))\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 ((1 \u2227 1) \u2228 0)\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 (1 \u2228 (\u00ac1))\n((0 \u2227 W) \u2227 (\u00acD)) \u2227 ((1 \u2227 1) \u2228 (\u00ac1))\n(((\u00acD) \u2227 0) \u2227 W) \u2227 ((1 \u2227 1) \u2228 (\u00ac1))\n((\u00acD) \u2227 0) \u2227 ((1 \u2227 1) \u2228 (\u00ac1))\n((\u00acD) \u2227 (W \u2227 0)) \u2227 ((1 \u2227 1) \u2228 (\u00ac1))\nChosen: ((\u00acD) \u2227 (0 \u2227 W)) \u2227 (1 \u2228 (\u00ac1))\n\nOptions:\n(1 \u2228 (\u00ac1)) \u2227 ((\u00acD) \u2227 (0 \u2227 W))\n(\u00acD) \u2227 ((0 \u2227 W) \u2227 (1 \u2228 (\u00ac1)))\n(((\u00acD) \u2227 (0 \u2227 W)) \u2227 1) \u2228 (((\u00acD) \u2227 (0 \u2227 W)) \u2227 (\u00ac1))\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 1\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 ((\u00ac1) \u2228 1)\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 (1 \u2228 0)\n((0 \u2227 W) \u2227 (\u00acD)) \u2227 (1 \u2228 (\u00ac1))\n(((\u00acD) \u2227 0) \u2227 W) \u2227 (1 \u2228 (\u00ac1))\n((\u00acD) \u2227 0) \u2227 (1 \u2228 (\u00ac1))\n((\u00acD) \u2227 (W \u2227 0)) \u2227 (1 \u2228 (\u00ac1))\nChosen: ((\u00acD) \u2227 (0 \u2227 W)) \u2227 (1 \u2228 0)\n\nOptions:\n(1 \u2228 0) \u2227 ((\u00acD) \u2227 (0 \u2227 W))\n(\u00acD) \u2227 ((0 \u2227 W) \u2227 (1 \u2228 0))\n(((\u00acD) \u2227 (0 \u2227 W)) \u2227 1) \u2228 (((\u00acD) \u2227 (0 \u2227 W)) \u2227 0)\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 1\n((\u00acD) \u2227 (0 \u2227 W)) \u2227 (0 \u2228 1)\n((0 \u2227 W) \u2227 (\u00acD)) \u2227 (1 \u2228 0)\n(((\u00acD) \u2227 0) \u2227 W) \u2227 (1 \u2228 0)\n((\u00acD) \u2227 0) \u2227 (1 \u2228 0)\n((\u00acD) \u2227 (W \u2227 0)) \u2227 (1 \u2228 0)\nChosen: ((\u00acD) \u2227 (0 \u2227 W)) \u2227 1\n\nOptions:\n(\u00acD) \u2227 (0 \u2227 W)\n1 \u2227 ((\u00acD) \u2227 (0 \u2227 W))\n(\u00acD) \u2227 ((0 \u2227 W) \u2227 1)\n((0 \u2227 W) \u2227 (\u00acD)) \u2227 1\n(((\u00acD) \u2227 0) \u2227 W) \u2227 1\n((\u00acD) \u2227 0) \u2227 1\n((\u00acD) \u2227 (W \u2227 0)) \u2227 1\nChosen: (\u00acD) \u2227 (0 \u2227 W)\n\nOptions:\n(0 \u2227 W) \u2227 (\u00acD)\n((\u00acD) \u2227 0) \u2227 W\n(\u00acD) \u2227 0\n(\u00acD) \u2227 (W \u2227 0)\nChosen: (\u00acD) \u2227 0", "id": 1801}, {"char_len": 1040, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 48, 75078, 220, 16, 8, 75078, 320, 56, 75078, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 320, 56, 75078, 816, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 320, 56, 75078, 816, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 320, 56, 75078, 816, 595, 12264, 101, 320, 83193, 15, 340, 1209, 48, 75078, 220, 16, 8, 75078, 320, 56, 75078, 816, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 56, 75078, 816, 8, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6774, 48, 75078, 220, 16, 8, 75078, 816, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6386, 75078, 320, 16, 75078, 320, 56, 75078, 816, 7861, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6386, 75078, 320, 56, 75078, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 1229, 8, 75078, 320, 56, 75078, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 48, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 1819, 48, 75078, 220, 16, 8, 75078, 816, 340, 1209, 48, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 48, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 83193, 15, 340, 1209, 48, 75078, 220, 16, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 20818, 75078, 320, 48, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6386, 75078, 320, 16, 75078, 816, 595, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6386, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 16, 75078, 1229, 8, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 48, 75078, 816, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 320, 48, 75078, 816, 340, 6386, 75078, 816, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6386, 75078, 816, 8, 12264, 101, 320, 83193, 15, 340, 6386, 75078, 816, 8, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 20818, 75078, 1229, 8, 12264, 101, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 48, 75078, 816, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 48, 75078, 816, 340, 6386, 75078, 816, 8, 12264, 101, 220, 16, 198, 20818, 75078, 1229, 8, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 48, 75078, 816, 696, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 816, 340, 7, 83193, 15, 8, 12264, 101, 320, 56, 75078, 1229, 340, 16, 12264, 101, 320, 48, 75078, 816, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 816, 8], "tokenizer": "cl100k_base", "tokens_len": 621, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((Q \u2227 1) \u2227 (Y \u2227 Y)) \u2228 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2228 ((Q \u2227 1) \u2227 (Y \u2227 Y))\n((Q \u2227 1) \u2227 (Y \u2227 Y)) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n((Q \u2227 1) \u2227 (Y \u2227 Y)) \u2228 (\u00ac0)\n((Q \u2227 1) \u2227 (Y \u2227 Y)) \u2228 (\u00ac(1 \u2227 0))\n((Y \u2227 Y) \u2227 (Q \u2227 1)) \u2228 (\u00ac(0 \u2227 1))\n(((Q \u2227 1) \u2227 Y) \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\n(Q \u2227 (1 \u2227 (Y \u2227 Y))) \u2228 (\u00ac(0 \u2227 1))\n((Q \u2227 1) \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\n(Q \u2227 (Y \u2227 Y)) \u2228 (\u00ac(0 \u2227 1))\n((1 \u2227 Q) \u2227 (Y \u2227 Y)) \u2228 (\u00ac(0 \u2227 1))\nChosen: ((Q \u2227 1) \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2228 ((Q \u2227 1) \u2227 Y)\n((Q \u2227 1) \u2227 Y) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n((Q \u2227 1) \u2227 Y) \u2228 (\u00ac0)\n((Q \u2227 1) \u2227 Y) \u2228 (\u00ac(1 \u2227 0))\n(Y \u2227 (Q \u2227 1)) \u2228 (\u00ac(0 \u2227 1))\n(Q \u2227 (1 \u2227 Y)) \u2228 (\u00ac(0 \u2227 1))\n(Q \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\n((1 \u2227 Q) \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\nChosen: (Q \u2227 Y) \u2228 (\u00ac(0 \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 1)) \u2228 (Q \u2227 Y)\n(Q \u2227 Y) \u2228 ((\u00ac0) \u2228 (\u00ac1))\n(Q \u2227 Y) \u2228 (\u00ac0)\n(Q \u2227 Y) \u2228 (\u00ac(1 \u2227 0))\n(Y \u2227 Q) \u2228 (\u00ac(0 \u2227 1))\nChosen: (Q \u2227 Y) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (Q \u2227 Y)\n(Q \u2227 Y) \u2228 1\n(Y \u2227 Q) \u2228 (\u00ac0)\nChosen: (\u00ac0) \u2228 (Q \u2227 Y)\n\nOptions:\n((\u00ac0) \u2228 Q) \u2227 ((\u00ac0) \u2228 Y)\n(\u00ac0) \u2228 (Y \u2227 Q)\n1 \u2228 (Q \u2227 Y)\nChosen: ((\u00ac0) \u2228 Q) \u2227 ((\u00ac0) \u2228 Y)", "id": 1802}, {"char_len": 927, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 48, 595, 75078, 1819, 16, 75078, 1229, 8, 75078, 320, 83193, 48, 4489, 3883, 512, 1209, 16, 75078, 1229, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 7, 83193, 48, 1192, 1209, 83193, 7, 83193, 48, 595, 75078, 320, 16, 75078, 1229, 595, 75078, 320, 83193, 48, 340, 7, 83193, 7, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 75078, 320, 16, 75078, 1229, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 320, 16, 75078, 320, 48, 75078, 320, 83193, 48, 6054, 7, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 1819, 48, 75078, 220, 16, 8, 75078, 320, 83193, 48, 1192, 48, 75078, 1819, 16, 75078, 1229, 8, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 48, 595, 75078, 320, 16, 75078, 320, 48, 75078, 320, 83193, 48, 19789, 3883, 512, 7, 16, 75078, 320, 48, 75078, 320, 83193, 48, 7861, 75078, 320, 83193, 7, 83193, 48, 1192, 1209, 83193, 7, 83193, 48, 595, 75078, 220, 16, 8, 75078, 320, 48, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 1819, 48, 75078, 320, 83193, 48, 595, 75078, 220, 16, 340, 7, 83193, 7, 83193, 48, 595, 75078, 320, 16, 75078, 220, 15, 340, 7, 83193, 7, 83193, 48, 595, 75078, 320, 16, 75078, 1819, 83193, 48, 8, 75078, 1229, 1192, 48, 75078, 320, 16, 75078, 320, 48, 75078, 320, 83193, 48, 6054, 1163, 8477, 25, 320, 83193, 7, 83193, 48, 595, 75078, 1819, 48, 75078, 320, 83193, 48, 595, 75078, 220, 16, 696, 3883, 512, 1209, 48, 75078, 320, 83193, 48, 595, 75078, 220, 16, 8, 75078, 320, 83193, 7, 83193, 48, 1192, 1209, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 320, 83193, 48, 7861, 75078, 220, 16, 198, 7, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 1819, 83193, 48, 8, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 48, 595, 75078, 320, 15, 75078, 220, 16, 340, 7, 83193, 7, 83193, 48, 595, 75078, 11861, 83193, 48, 8, 75078, 1229, 8, 75078, 220, 16, 340, 48, 75078, 1819, 48, 75078, 320, 83193, 48, 595, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 83193, 48, 595, 75078, 320, 48, 75078, 320, 83193, 48, 4489, 3883, 512, 6386, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 7, 83193, 48, 1192, 1209, 83193, 7, 83193, 48, 595, 75078, 1229, 8, 75078, 320, 83193, 48, 340, 7, 83193, 7, 83193, 48, 595, 75078, 220, 15, 198, 7, 83193, 7, 83193, 48, 595, 75078, 1819, 83193, 48, 8, 75078, 1229, 340, 48, 75078, 320, 48, 75078, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 48, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 7, 83193, 48, 1192, 48, 75078, 220, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 529, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acQ)) \u2227 ((1 \u2227 Q) \u2227 (\u00acQ))\n\nOptions:\n((1 \u2227 Q) \u2227 (\u00acQ)) \u2227 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2227 (1 \u2227 Q)) \u2227 (\u00acQ)\n(\u00ac(\u00acQ)) \u2227 ((\u00acQ) \u2227 (1 \u2227 Q))\n(\u00ac(\u00acQ)) \u2227 (1 \u2227 (Q \u2227 (\u00acQ)))\n(\u00ac(\u00acQ)) \u2227 (Q \u2227 (\u00acQ))\n(\u00ac(\u00acQ)) \u2227 ((Q \u2227 1) \u2227 (\u00acQ))\nQ \u2227 ((1 \u2227 Q) \u2227 (\u00acQ))\nChosen: (\u00ac(\u00acQ)) \u2227 (1 \u2227 (Q \u2227 (\u00acQ)))\n\nOptions:\n(1 \u2227 (Q \u2227 (\u00acQ))) \u2227 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2227 1) \u2227 (Q \u2227 (\u00acQ))\n(\u00ac(\u00acQ)) \u2227 (Q \u2227 (\u00acQ))\n(\u00ac(\u00acQ)) \u2227 ((Q \u2227 (\u00acQ)) \u2227 1)\n(\u00ac(\u00acQ)) \u2227 (1 \u2227 0)\n(\u00ac(\u00acQ)) \u2227 (1 \u2227 ((\u00acQ) \u2227 Q))\nQ \u2227 (1 \u2227 (Q \u2227 (\u00acQ)))\nChosen: (\u00ac(\u00acQ)) \u2227 ((Q \u2227 (\u00acQ)) \u2227 1)\n\nOptions:\n((Q \u2227 (\u00acQ)) \u2227 1) \u2227 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2227 (Q \u2227 (\u00acQ))) \u2227 1\n(\u00ac(\u00acQ)) \u2227 (Q \u2227 (\u00acQ))\n(\u00ac(\u00acQ)) \u2227 (Q \u2227 ((\u00acQ) \u2227 1))\n(\u00ac(\u00acQ)) \u2227 (0 \u2227 1)\n(\u00ac(\u00acQ)) \u2227 (((\u00acQ) \u2227 Q) \u2227 1)\nQ \u2227 ((Q \u2227 (\u00acQ)) \u2227 1)\nChosen: (\u00ac(\u00acQ)) \u2227 (Q \u2227 (\u00acQ))\n\nOptions:\n(Q \u2227 (\u00acQ)) \u2227 (\u00ac(\u00acQ))\n((\u00ac(\u00acQ)) \u2227 Q) \u2227 (\u00acQ)\n(\u00ac(\u00acQ)) \u2227 0\n(\u00ac(\u00acQ)) \u2227 ((\u00acQ) \u2227 Q)\nQ \u2227 (Q \u2227 (\u00acQ))\nChosen: (\u00ac(\u00acQ)) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00ac(\u00acQ))\nQ \u2227 0\nChosen: 0", "id": 1803}, {"char_len": 2291, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 4489, 3883, 512, 1209, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 6774, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 358, 595, 75078, 320, 47, 75078, 358, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 393, 8, 75078, 358, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 40, 75078, 393, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 1819, 40, 75078, 393, 8, 75078, 320, 47, 75078, 358, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 1192, 6774, 83193, 47, 8, 12264, 101, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 220, 16, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 393, 8, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 47, 75078, 358, 1192, 1163, 8477, 25, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 19789, 3883, 512, 5417, 75078, 320, 40, 75078, 320, 47, 75078, 358, 7861, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 6774, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 393, 8, 75078, 320, 40, 75078, 320, 47, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 1819, 40, 75078, 320, 47, 75078, 358, 595, 75078, 393, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 1819, 40, 75078, 393, 8, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 40, 75078, 393, 6054, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 6774, 83193, 47, 8, 12264, 101, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 220, 16, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 1209, 83193, 47, 8, 12264, 101, 393, 8, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 1209, 83193, 47, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 1163, 8477, 25, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 4489, 3883, 512, 5417, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 1192, 6774, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 393, 8, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 1819, 47, 75078, 320, 47, 75078, 358, 595, 75078, 358, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 320, 47, 75078, 320, 40, 75078, 358, 6054, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 320, 47, 75078, 1819, 40, 75078, 393, 8, 75078, 358, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 6774, 83193, 47, 8, 12264, 101, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 220, 16, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 393, 8, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1209, 83193, 47, 8, 12264, 101, 320, 16, 75078, 393, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 4489, 3883, 512, 5417, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 595, 75078, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 1192, 6774, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 393, 8, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 47, 75078, 320, 47, 75078, 358, 595, 75078, 358, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 320, 40, 75078, 320, 47, 75078, 358, 6054, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 320, 47, 75078, 320, 40, 75078, 358, 6054, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 1819, 40, 75078, 393, 8, 75078, 358, 1192, 5417, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1209, 16, 75078, 393, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 47, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 1192, 1163, 8477, 25, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 696, 3883, 512, 6774, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 8, 75078, 1819, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 1192, 6774, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 358, 595, 75078, 393, 198, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 47, 75078, 358, 8, 75078, 320, 40, 75078, 393, 1192, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 40, 75078, 320, 47, 75078, 358, 595, 75078, 393, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 47, 75078, 320, 40, 75078, 358, 595, 75078, 393, 340, 1209, 47, 75078, 220, 16, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 40, 75078, 393, 8, 75078, 358, 8, 75078, 393, 340, 1209, 83193, 47, 8, 12264, 101, 320, 47, 75078, 220, 16, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 340, 5417, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 340, 1209, 16, 75078, 393, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 340, 1163, 8477, 25, 1819, 16, 75078, 393, 8, 12264, 101, 320, 83193, 47, 595, 75078, 11861, 47, 75078, 358, 8, 75078, 358, 8, 75078, 393, 8], "tokenizer": "cl100k_base", "tokens_len": 1326, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acP) \u2228 (P \u2227 1)) \u2227 ((P \u2227 I) \u2227 (P \u2227 I))\n\nOptions:\n((P \u2227 I) \u2227 (P \u2227 I)) \u2227 ((\u00acP) \u2228 (P \u2227 1))\n(((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 I)) \u2227 (P \u2227 I)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (((P \u2227 I) \u2227 P) \u2227 I)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 ((P \u2227 I) \u2227 (I \u2227 P))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 ((I \u2227 P) \u2227 (P \u2227 I))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 ((P \u2227 I) \u2227 (P \u2227 I))\n(((\u00acP) \u2228 P) \u2227 ((\u00acP) \u2228 1)) \u2227 ((P \u2227 I) \u2227 (P \u2227 I))\n((\u00acP) \u2228 P) \u2227 ((P \u2227 I) \u2227 (P \u2227 I))\n((\u00acP) \u2228 (1 \u2227 P)) \u2227 ((P \u2227 I) \u2227 (P \u2227 I))\nChosen: ((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n\nOptions:\n(P \u2227 (I \u2227 (P \u2227 I))) \u2227 ((\u00acP) \u2228 (P \u2227 1))\n(((\u00acP) \u2228 (P \u2227 1)) \u2227 P) \u2227 (I \u2227 (P \u2227 I))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 ((I \u2227 (P \u2227 I)) \u2227 P)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 ((I \u2227 P) \u2227 I))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 (I \u2227 (I \u2227 P)))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n(((\u00acP) \u2228 P) \u2227 ((\u00acP) \u2228 1)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n((\u00acP) \u2228 P) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n((\u00acP) \u2228 (1 \u2227 P)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\nChosen: ((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n\nOptions:\n(P \u2227 ((P \u2227 I) \u2227 I)) \u2227 ((\u00acP) \u2228 (P \u2227 1))\n(((\u00acP) \u2228 (P \u2227 1)) \u2227 P) \u2227 ((P \u2227 I) \u2227 I)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 ((P \u2227 (P \u2227 I)) \u2227 I)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 (P \u2227 (I \u2227 I)))\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (P \u2227 ((I \u2227 P) \u2227 I))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n(((\u00acP) \u2228 P) \u2227 ((\u00acP) \u2228 1)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n((\u00acP) \u2228 P) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n((\u00acP) \u2228 (1 \u2227 P)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\nChosen: ((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n\nOptions:\n(P \u2227 ((P \u2227 I) \u2227 I)) \u2227 ((P \u2227 1) \u2228 (\u00acP))\n(((P \u2227 1) \u2228 (\u00acP)) \u2227 P) \u2227 ((P \u2227 I) \u2227 I)\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\n((P \u2227 1) \u2228 (\u00acP)) \u2227 ((P \u2227 (P \u2227 I)) \u2227 I)\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 (I \u2227 (P \u2227 I)))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 (P \u2227 (I \u2227 I)))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (P \u2227 ((I \u2227 P) \u2227 I))\n(P \u2228 (\u00acP)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\n((1 \u2227 P) \u2228 (\u00acP)) \u2227 (P \u2227 ((P \u2227 I) \u2227 I))\nChosen: ((P \u2227 1) \u2228 (\u00acP)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\n\nOptions:\n(((P \u2227 I) \u2227 I) \u2227 P) \u2227 ((P \u2227 1) \u2228 (\u00acP))\n(((P \u2227 1) \u2228 (\u00acP)) \u2227 ((P \u2227 I) \u2227 I)) \u2227 P\n((P \u2227 1) \u2228 (\u00acP)) \u2227 ((P \u2227 I) \u2227 (I \u2227 P))\n((P \u2227 1) \u2228 (\u00acP)) \u2227 ((I \u2227 (P \u2227 I)) \u2227 P)\n((P \u2227 1) \u2228 (\u00acP)) \u2227 ((P \u2227 (I \u2227 I)) \u2227 P)\n((P \u2227 1) \u2228 (\u00acP)) \u2227 (((I \u2227 P) \u2227 I) \u2227 P)\n((\u00acP) \u2228 (P \u2227 1)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\n(P \u2228 (\u00acP)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\n((1 \u2227 P) \u2228 (\u00acP)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)\nChosen: ((1 \u2227 P) \u2228 (\u00acP)) \u2227 (((P \u2227 I) \u2227 I) \u2227 P)", "id": 1804}, {"char_len": 749, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 56, 595, 75078, 1819, 15, 75078, 816, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 15, 75078, 816, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 83193, 7, 83193, 56, 1192, 1209, 83193, 7, 83193, 56, 595, 75078, 320, 15, 75078, 816, 595, 12264, 101, 1819, 83193, 7, 83193, 56, 595, 75078, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 56, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 816, 1192, 7, 83193, 7, 83193, 56, 595, 75078, 1819, 15, 75078, 816, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 56, 595, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 56, 595, 75078, 1819, 56, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 56, 75078, 1819, 15, 75078, 816, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 816, 75078, 1819, 15, 75078, 816, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 15, 75078, 816, 8, 12264, 101, 320, 83193, 15, 595, 75078, 816, 198, 20818, 75078, 320, 15, 75078, 816, 595, 12264, 101, 320, 56, 75078, 320, 83193, 15, 1192, 56, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 15, 75078, 816, 1192, 56, 75078, 1819, 15, 75078, 816, 8, 12264, 101, 220, 16, 340, 56, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 56, 75078, 1819, 56, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 816, 75078, 320, 15, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 15, 12264, 101, 320, 83193, 15, 595, 75078, 816, 198, 20818, 75078, 220, 15, 8, 12264, 101, 320, 56, 75078, 320, 83193, 15, 1192, 56, 75078, 320, 83193, 15, 340, 56, 75078, 220, 16, 198, 56, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 340, 56, 75078, 320, 15, 12264, 101, 220, 16, 340, 1163, 8477, 25, 816, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 220, 15, 8, 75078, 816, 198, 20818, 75078, 320, 83193, 15, 595, 12264, 101, 320, 56, 75078, 220, 15, 340, 56, 75078, 320, 83193, 15, 340, 56, 75078, 220, 16, 198, 56, 75078, 320, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 816, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 816, 198, 56, 75078, 220, 16, 198, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 816], "tokenizer": "cl100k_base", "tokens_len": 425, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00acY)) \u2227 ((0 \u2227 Y) \u2228 (\u00ac0))\n\nOptions:\n((0 \u2227 Y) \u2228 (\u00ac0)) \u2227 (\u00ac(\u00acY))\n((\u00ac(\u00acY)) \u2227 (0 \u2227 Y)) \u2228 ((\u00ac(\u00acY)) \u2227 (\u00ac0))\n(\u00ac(\u00acY)) \u2227 ((\u00ac0) \u2228 (0 \u2227 Y))\n(\u00ac(\u00acY)) \u2227 ((0 \u2227 Y) \u2228 1)\n(\u00ac(\u00acY)) \u2227 (0 \u2228 (\u00ac0))\n(\u00ac(\u00acY)) \u2227 ((Y \u2227 0) \u2228 (\u00ac0))\nY \u2227 ((0 \u2227 Y) \u2228 (\u00ac0))\nChosen: Y \u2227 ((0 \u2227 Y) \u2228 (\u00ac0))\n\nOptions:\n((0 \u2227 Y) \u2228 (\u00ac0)) \u2227 Y\n(Y \u2227 (0 \u2227 Y)) \u2228 (Y \u2227 (\u00ac0))\nY \u2227 ((\u00ac0) \u2228 (0 \u2227 Y))\nY \u2227 ((0 \u2227 Y) \u2228 1)\nY \u2227 (0 \u2228 (\u00ac0))\nY \u2227 ((Y \u2227 0) \u2228 (\u00ac0))\nChosen: Y \u2227 (0 \u2228 (\u00ac0))\n\nOptions:\n(0 \u2228 (\u00ac0)) \u2227 Y\n(Y \u2227 0) \u2228 (Y \u2227 (\u00ac0))\nY \u2227 (\u00ac0)\nY \u2227 1\nY \u2227 ((\u00ac0) \u2228 0)\nY \u2227 (0 \u2228 1)\nChosen: Y \u2227 ((\u00ac0) \u2228 0)\n\nOptions:\n((\u00ac0) \u2228 0) \u2227 Y\n(Y \u2227 (\u00ac0)) \u2228 (Y \u2227 0)\nY \u2227 (\u00ac0)\nY \u2227 1\nY \u2227 (1 \u2228 0)\nChosen: Y \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 Y\nY \u2227 1\nChosen: (\u00ac0) \u2227 Y", "id": 1805}, {"char_len": 1451, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 15, 12264, 101, 435, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 12264, 101, 435, 1192, 1209, 83193, 7, 15, 12264, 101, 435, 595, 75078, 320, 37, 75078, 435, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 37, 75078, 435, 1192, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 320, 37, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 6054, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 11861, 37, 75078, 435, 8, 75078, 220, 16, 8, 12264, 101, 1819, 37, 75078, 435, 8, 75078, 220, 15, 1192, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 220, 16, 340, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 15, 12264, 101, 435, 595, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 83193, 37, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 37, 8, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 37, 12264, 101, 220, 15, 1192, 1209, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 320, 37, 75078, 435, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 37, 75078, 435, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 320, 37, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 6054, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 11861, 37, 75078, 435, 8, 75078, 220, 16, 8, 12264, 101, 1819, 37, 75078, 435, 8, 75078, 220, 15, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 220, 16, 340, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 37, 12264, 101, 220, 15, 595, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 37, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 37, 8, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 37, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 320, 37, 75078, 435, 595, 75078, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 37, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 37, 75078, 435, 1192, 7, 83193, 37, 8, 75078, 320, 37, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 6054, 7, 83193, 37, 8, 75078, 11861, 37, 75078, 435, 8, 75078, 220, 16, 8, 12264, 101, 1819, 37, 75078, 435, 8, 75078, 220, 15, 1192, 7, 83193, 37, 8, 75078, 1819, 37, 75078, 435, 8, 75078, 220, 16, 340, 7, 83193, 37, 8, 75078, 1819, 37, 75078, 435, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 37, 8, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 320, 37, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 7988, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 435, 8, 75078, 320, 16, 12264, 101, 220, 15, 340, 7, 83193, 37, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 435, 340, 7, 83193, 37, 8, 75078, 1819, 37, 75078, 220, 16, 8, 12264, 101, 320, 37, 75078, 220, 15, 1192, 7, 83193, 37, 8, 75078, 320, 37, 75078, 220, 16, 340, 7, 83193, 37, 8, 75078, 320, 37, 75078, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 75078, 435, 696, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 75078, 435, 8, 75078, 320, 83193, 37, 340, 1209, 83193, 37, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 75078, 435, 198, 7, 83193, 37, 8, 75078, 320, 16, 75078, 435, 340, 7, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 435, 340, 1163, 8477, 25, 320, 83193, 37, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 435, 8], "tokenizer": "cl100k_base", "tokens_len": 904, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(0 \u2228 F)) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n\nOptions:\n((F \u2227 F) \u2227 (1 \u2228 0)) \u2227 (\u00ac(0 \u2228 F))\n((\u00ac(0 \u2228 F)) \u2227 (F \u2227 F)) \u2227 (1 \u2228 0)\n(\u00ac(0 \u2228 F)) \u2227 ((1 \u2228 0) \u2227 (F \u2227 F))\n(\u00ac(0 \u2228 F)) \u2227 (F \u2227 (F \u2227 (1 \u2228 0)))\n(\u00ac(0 \u2228 F)) \u2227 (((F \u2227 F) \u2227 1) \u2228 ((F \u2227 F) \u2227 0))\n(\u00ac(0 \u2228 F)) \u2227 ((F \u2227 F) \u2227 1)\n(\u00ac(0 \u2228 F)) \u2227 ((F \u2227 F) \u2227 (0 \u2228 1))\n(\u00ac(0 \u2228 F)) \u2227 (F \u2227 (1 \u2228 0))\n((\u00ac0) \u2227 (\u00acF)) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n(\u00acF) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n(\u00ac(F \u2228 0)) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\nChosen: (\u00ac(F \u2228 0)) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n\nOptions:\n((F \u2227 F) \u2227 (1 \u2228 0)) \u2227 (\u00ac(F \u2228 0))\n((\u00ac(F \u2228 0)) \u2227 (F \u2227 F)) \u2227 (1 \u2228 0)\n(\u00ac(F \u2228 0)) \u2227 ((1 \u2228 0) \u2227 (F \u2227 F))\n(\u00ac(F \u2228 0)) \u2227 (F \u2227 (F \u2227 (1 \u2228 0)))\n(\u00ac(F \u2228 0)) \u2227 (((F \u2227 F) \u2227 1) \u2228 ((F \u2227 F) \u2227 0))\n(\u00ac(F \u2228 0)) \u2227 ((F \u2227 F) \u2227 1)\n(\u00ac(F \u2228 0)) \u2227 ((F \u2227 F) \u2227 (0 \u2228 1))\n(\u00ac(F \u2228 0)) \u2227 (F \u2227 (1 \u2228 0))\n((\u00acF) \u2227 (\u00ac0)) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n(\u00acF) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\nChosen: (\u00acF) \u2227 ((F \u2227 F) \u2227 (1 \u2228 0))\n\nOptions:\n((F \u2227 F) \u2227 (1 \u2228 0)) \u2227 (\u00acF)\n((\u00acF) \u2227 (F \u2227 F)) \u2227 (1 \u2228 0)\n(\u00acF) \u2227 ((1 \u2228 0) \u2227 (F \u2227 F))\n(\u00acF) \u2227 (F \u2227 (F \u2227 (1 \u2228 0)))\n(\u00acF) \u2227 (((F \u2227 F) \u2227 1) \u2228 ((F \u2227 F) \u2227 0))\n(\u00acF) \u2227 ((F \u2227 F) \u2227 1)\n(\u00acF) \u2227 ((F \u2227 F) \u2227 (0 \u2228 1))\n(\u00acF) \u2227 (F \u2227 (1 \u2228 0))\nChosen: (\u00acF) \u2227 (F \u2227 (1 \u2228 0))\n\nOptions:\n(F \u2227 (1 \u2228 0)) \u2227 (\u00acF)\n((\u00acF) \u2227 F) \u2227 (1 \u2228 0)\n(\u00acF) \u2227 ((1 \u2228 0) \u2227 F)\n(\u00acF) \u2227 ((F \u2227 1) \u2228 (F \u2227 0))\n(\u00acF) \u2227 (F \u2227 1)\n(\u00acF) \u2227 (F \u2227 (0 \u2228 1))\nChosen: (\u00acF) \u2227 ((1 \u2228 0) \u2227 F)\n\nOptions:\n((1 \u2228 0) \u2227 F) \u2227 (\u00acF)\n((\u00acF) \u2227 (1 \u2228 0)) \u2227 F\n(\u00acF) \u2227 (1 \u2227 F)\n(\u00acF) \u2227 ((0 \u2228 1) \u2227 F)\nChosen: (\u00acF) \u2227 ((0 \u2228 1) \u2227 F)", "id": 1806}, {"char_len": 2090, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 1819, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 1192, 6774, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 320, 34, 12264, 101, 220, 15, 595, 75078, 11861, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 320, 83193, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 15, 12264, 101, 356, 8, 75078, 320, 83193, 15, 1192, 1209, 16, 75078, 386, 8, 75078, 320, 15, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 6774, 15, 75078, 386, 8, 75078, 220, 16, 8, 75078, 386, 8, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 386, 8, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 44, 75078, 220, 16, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 44, 75078, 220, 15, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 4489, 3883, 512, 1209, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 595, 12264, 101, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 6054, 1209, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 34, 12264, 101, 220, 15, 595, 75078, 1819, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 34, 12264, 101, 220, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 220, 16, 340, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 15, 12264, 101, 356, 8, 75078, 320, 83193, 15, 1192, 15, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1209, 44, 75078, 320, 16, 75078, 386, 595, 75078, 220, 15, 8, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 1819, 16, 75078, 386, 8, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 1819, 44, 75078, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 386, 595, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 44, 75078, 220, 16, 7861, 12264, 101, 1819, 34, 12264, 101, 220, 15, 8, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 34, 75078, 320, 83193, 15, 4489, 3883, 512, 3100, 75078, 320, 83193, 15, 595, 12264, 101, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 6054, 1209, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 356, 8, 75078, 1819, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 34, 75078, 220, 16, 340, 15, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 1209, 44, 75078, 320, 16, 75078, 386, 595, 75078, 220, 15, 8, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 1819, 16, 75078, 386, 8, 75078, 386, 595, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 1819, 44, 75078, 220, 16, 8, 75078, 386, 595, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 386, 595, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 7, 15, 75078, 320, 44, 75078, 320, 44, 75078, 220, 16, 7861, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 696, 3883, 512, 1209, 83193, 15, 8, 75078, 356, 8, 12264, 101, 320, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 6054, 1209, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 356, 340, 7, 15, 75078, 320, 44, 75078, 320, 16, 75078, 386, 7861, 12264, 101, 320, 16, 75078, 356, 340, 15, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 1209, 44, 75078, 320, 16, 75078, 386, 595, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 1209, 15, 75078, 386, 8, 75078, 320, 16, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 7, 15, 75078, 1819, 16, 75078, 386, 8, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 7, 15, 75078, 1819, 44, 75078, 220, 16, 8, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 7, 15, 75078, 320, 44, 75078, 386, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 7, 15, 75078, 320, 44, 75078, 320, 44, 75078, 220, 16, 7861, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 340, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 15, 8, 75078, 356, 696, 3883, 512, 7, 83193, 15, 8, 75078, 356, 198, 1209, 83193, 15, 8, 75078, 356, 8, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 83193, 15, 595, 75078, 320, 15, 12264, 101, 356, 340, 15, 12264, 101, 320, 34, 75078, 320, 83193, 15, 1192, 15, 12264, 101, 320, 16, 75078, 356, 340, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 356, 8, 12264, 101, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 1253, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n\nOptions:\n((C \u2228 0) \u2227 (\u00ac0)) \u2228 ((0 \u2227 M) \u2227 (1 \u2227 M))\n(((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 (C \u2228 0)) \u2227 (((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 (\u00ac0))\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 ((\u00ac0) \u2227 (C \u2228 0))\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 ((C \u2228 0) \u2227 1)\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 (C \u2227 (\u00ac0))\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 ((0 \u2228 C) \u2227 (\u00ac0))\n((1 \u2227 M) \u2227 (0 \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(((0 \u2227 M) \u2227 1) \u2227 M) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n((0 \u2227 M) \u2227 M) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n((0 \u2227 M) \u2227 (M \u2227 1)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 (1 \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n((M \u2227 0) \u2227 (1 \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\nChosen: (0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n\nOptions:\n((C \u2228 0) \u2227 (\u00ac0)) \u2228 (0 \u2227 (M \u2227 (1 \u2227 M)))\n((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (C \u2228 0)) \u2227 ((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (\u00ac0))\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((\u00ac0) \u2227 (C \u2228 0))\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((C \u2228 0) \u2227 1)\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (C \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((0 \u2228 C) \u2227 (\u00ac0))\n0 \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n((M \u2227 (1 \u2227 M)) \u2227 0) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 ((1 \u2227 M) \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 ((M \u2227 1) \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 M)) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 (M \u2227 1))) \u2228 ((C \u2228 0) \u2227 (\u00ac0))\nChosen: (0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (C \u2227 (\u00ac0))\n\nOptions:\n(C \u2227 (\u00ac0)) \u2228 (0 \u2227 (M \u2227 (1 \u2227 M)))\n((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 C) \u2227 ((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (\u00ac0))\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((\u00ac0) \u2227 C)\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (C \u2227 1)\n0 \u2228 (C \u2227 (\u00ac0))\n((M \u2227 (1 \u2227 M)) \u2227 0) \u2228 (C \u2227 (\u00ac0))\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 (C \u2227 (\u00ac0))\n(0 \u2227 ((1 \u2227 M) \u2227 M)) \u2228 (C \u2227 (\u00ac0))\n(0 \u2227 ((M \u2227 1) \u2227 M)) \u2228 (C \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 M)) \u2228 (C \u2227 (\u00ac0))\n(0 \u2227 (M \u2227 (M \u2227 1))) \u2228 (C \u2227 (\u00ac0))\nChosen: (0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 ((\u00ac0) \u2227 C)\n\nOptions:\n((\u00ac0) \u2227 C) \u2228 (0 \u2227 (M \u2227 (1 \u2227 M)))\n((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (\u00ac0)) \u2227 ((0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 C)\n(0 \u2227 (M \u2227 (1 \u2227 M))) \u2228 (1 \u2227 C)\n0 \u2228 ((\u00ac0) \u2227 C)\n((M \u2227 (1 \u2227 M)) \u2227 0) \u2228 ((\u00ac0) \u2227 C)\n((0 \u2227 M) \u2227 (1 \u2227 M)) \u2228 ((\u00ac0) \u2227 C)\n(0 \u2227 ((1 \u2227 M) \u2227 M)) \u2228 ((\u00ac0) \u2227 C)\n(0 \u2227 ((M \u2227 1) \u2227 M)) \u2228 ((\u00ac0) \u2227 C)\n(0 \u2227 (M \u2227 M)) \u2228 ((\u00ac0) \u2227 C)\n(0 \u2227 (M \u2227 (M \u2227 1))) \u2228 ((\u00ac0) \u2227 C)\nChosen: 0 \u2228 ((\u00ac0) \u2227 C)\n\nOptions:\n(\u00ac0) \u2227 C\n((\u00ac0) \u2227 C) \u2228 0\n(0 \u2228 (\u00ac0)) \u2227 (0 \u2228 C)\n0 \u2228 (C \u2227 (\u00ac0))\n0 \u2228 (1 \u2227 C)\nChosen: ((\u00ac0) \u2227 C) \u2228 0", "id": 1807}, {"char_len": 1457, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 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"boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acT) \u2228 (0 \u2228 1)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n\nOptions:\n((\u00acQ) \u2228 (T \u2228 Q)) \u2227 ((\u00acT) \u2228 (0 \u2228 1))\n(((\u00acT) \u2228 (0 \u2228 1)) \u2227 (\u00acQ)) \u2228 (((\u00acT) \u2228 (0 \u2228 1)) \u2227 (T \u2228 Q))\n((\u00acT) \u2228 (0 \u2228 1)) \u2227 ((T \u2228 Q) \u2228 (\u00acQ))\n((\u00acT) \u2228 (0 \u2228 1)) \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\n((\u00acT) \u2228 (0 \u2228 1)) \u2227 ((\u00acQ) \u2228 (Q \u2228 T))\n((0 \u2228 1) \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n(((\u00acT) \u2228 0) \u2228 1) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n((\u00acT) \u2228 1) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n((\u00acT) \u2228 (1 \u2228 0)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\nChosen: ((\u00acT) \u2228 1) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n\nOptions:\n((\u00acQ) \u2228 (T \u2228 Q)) \u2227 ((\u00acT) \u2228 1)\n(((\u00acT) \u2228 1) \u2227 (\u00acQ)) \u2228 (((\u00acT) \u2228 1) \u2227 (T \u2228 Q))\n((\u00acT) \u2228 1) \u2227 ((T \u2228 Q) \u2228 (\u00acQ))\n((\u00acT) \u2228 1) \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\n((\u00acT) \u2228 1) \u2227 ((\u00acQ) \u2228 (Q \u2228 T))\n1 \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n(1 \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\nChosen: ((\u00acT) \u2228 1) \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\n\nOptions:\n(((\u00acQ) \u2228 T) \u2228 Q) \u2227 ((\u00acT) \u2228 1)\n(((\u00acT) \u2228 1) \u2227 ((\u00acQ) \u2228 T)) \u2228 (((\u00acT) \u2228 1) \u2227 Q)\n((\u00acT) \u2228 1) \u2227 (Q \u2228 ((\u00acQ) \u2228 T))\n((\u00acT) \u2228 1) \u2227 ((T \u2228 (\u00acQ)) \u2228 Q)\n1 \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\n(1 \u2228 (\u00acT)) \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\nChosen: (1 \u2228 (\u00acT)) \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\n\nOptions:\n(((\u00acQ) \u2228 T) \u2228 Q) \u2227 (1 \u2228 (\u00acT))\n((1 \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 T)) \u2228 ((1 \u2228 (\u00acT)) \u2227 Q)\n(1 \u2228 (\u00acT)) \u2227 (Q \u2228 ((\u00acQ) \u2228 T))\n(1 \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n(1 \u2228 (\u00acT)) \u2227 ((T \u2228 (\u00acQ)) \u2228 Q)\n1 \u2227 (((\u00acQ) \u2228 T) \u2228 Q)\nChosen: (1 \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\n\nOptions:\n((\u00acQ) \u2228 (T \u2228 Q)) \u2227 (1 \u2228 (\u00acT))\n((1 \u2228 (\u00acT)) \u2227 (\u00acQ)) \u2228 ((1 \u2228 (\u00acT)) \u2227 (T \u2228 Q))\n(1 \u2228 (\u00acT)) \u2227 ((T \u2228 Q) \u2228 (\u00acQ))\n(1 \u2228 (\u00acT)) \u2227 ((\u00acQ) \u2228 (Q \u2228 T))\n1 \u2227 ((\u00acQ) \u2228 (T \u2228 Q))\nChosen: ((\u00acQ) \u2228 (T \u2228 Q)) \u2227 (1 \u2228 (\u00acT))", "id": 1808}, {"char_len": 3392, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 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12264, 101, 220, 15, 1192, 6774, 42, 75078, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 75078, 350, 595, 75078, 320, 15, 12264, 101, 320, 42, 12264, 101, 220, 15, 1192, 1209, 42, 75078, 220, 16, 8, 75078, 350, 8, 75078, 320, 15, 12264, 101, 320, 42, 12264, 101, 220, 15, 1192, 17155, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 320, 42, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 735, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 320, 42, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 696, 3883, 512, 1209, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 8, 75078, 1819, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 1192, 17155, 75078, 220, 16, 8, 75078, 1819, 51, 12264, 101, 350, 8, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 1192, 6774, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 735, 595, 12264, 101, 11861, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 220, 15, 340, 1209, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 735, 340, 1209, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 15, 12264, 101, 320, 15, 12264, 101, 735, 1192, 1209, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 320, 42, 12264, 101, 220, 15, 340, 1209, 42, 75078, 220, 16, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 1819, 42, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 1209, 51, 12264, 101, 350, 8, 75078, 320, 42, 75078, 220, 16, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 17155, 75078, 320, 16, 75078, 320, 51, 12264, 101, 350, 7861, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 6774, 42, 75078, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 75078, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 1209, 42, 75078, 220, 16, 8, 75078, 350, 8, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 17155, 75078, 320, 51, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 735, 8, 75078, 320, 51, 12264, 101, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 340, 1163, 8477, 25, 11861, 42, 75078, 220, 16, 8, 75078, 350, 8, 12264, 101, 1819, 42, 75078, 220, 16, 8, 75078, 350, 595, 75078, 1819, 15, 12264, 101, 735, 8, 12264, 101, 220, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 2246, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n\nOptions:\n((0 \u2228 K) \u2228 (0 \u2228 0)) \u2227 ((K \u2227 1) \u2227 (T \u2228 T))\n(K \u2227 1) \u2227 ((T \u2228 T) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0)))\n(((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 K)) \u2228 (((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 0) \u2228 (0 \u2228 K))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 (0 \u2228 0)))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (K \u2228 (0 \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((K \u2228 0) \u2228 (0 \u2228 0))\n((T \u2228 T) \u2227 (K \u2227 1)) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n(K \u2227 (1 \u2227 (T \u2228 T))) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n(((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n((K \u2227 1) \u2227 T) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n(K \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\n((1 \u2227 K) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 (0 \u2228 0))\nChosen: ((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n\nOptions:\n(((0 \u2228 K) \u2228 0) \u2228 0) \u2227 ((K \u2227 1) \u2227 (T \u2228 T))\n(K \u2227 1) \u2227 ((T \u2228 T) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0))\n(((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)) \u2228 (((K \u2227 1) \u2227 (T \u2228 T)) \u2227 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 ((0 \u2228 K) \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (0 \u2228 K)) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((K \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (((K \u2228 0) \u2228 0) \u2228 0)\n((T \u2228 T) \u2227 (K \u2227 1)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n(K \u2227 (1 \u2227 (T \u2228 T))) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n(((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 T) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n(K \u2227 (T \u2228 T)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\n((1 \u2227 K) \u2227 (T \u2228 T)) \u2227 (((0 \u2228 K) \u2228 0) \u2228 0)\nChosen: ((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n\nOptions:\n((0 \u2228 (K \u2228 0)) \u2228 0) \u2227 ((K \u2227 1) \u2227 (T \u2228 T))\n(K \u2227 1) \u2227 ((T \u2228 T) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0))\n(((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 0))) \u2228 (((K \u2227 1) \u2227 (T \u2228 T)) \u2227 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (0 \u2228 (K \u2228 0)))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 ((K \u2228 0) \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((K \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (((K \u2228 0) \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (0 \u2228 K)) \u2228 0)\n((T \u2228 T) \u2227 (K \u2227 1)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n(K \u2227 (1 \u2227 (T \u2228 T))) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n(((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n((K \u2227 1) \u2227 T) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n(K \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\n((1 \u2227 K) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 (K \u2228 0)) \u2228 0)\nChosen: ((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 0))\n\nOptions:\n(0 \u2228 (K \u2228 0)) \u2227 ((K \u2227 1) \u2227 (T \u2228 T))\n(K \u2227 1) \u2227 ((T \u2228 T) \u2227 (0 \u2228 (K \u2228 0)))\n(((K \u2227 1) \u2227 (T \u2228 T)) \u2227 0) \u2228 (((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (K \u2228 0))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (K \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((K \u2228 0) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 K)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (0 \u2228 K))\n((T \u2228 T) \u2227 (K \u2227 1)) \u2227 (0 \u2228 (K \u2228 0))\n(K \u2227 (1 \u2227 (T \u2228 T))) \u2227 (0 \u2228 (K \u2228 0))\n(((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 (0 \u2228 (K \u2228 0))\n((K \u2227 1) \u2227 T) \u2227 (0 \u2228 (K \u2228 0))\n(K \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 0))\n((1 \u2227 K) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (K \u2228 0))\nChosen: ((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n\nOptions:\n((0 \u2228 K) \u2228 0) \u2227 ((K \u2227 1) \u2227 (T \u2228 T))\n(K \u2227 1) \u2227 ((T \u2228 T) \u2227 ((0 \u2228 K) \u2228 0))\n(((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 K)) \u2228 (((K \u2227 1) \u2227 (T \u2228 T)) \u2227 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 K)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (0 \u2228 (0 \u2228 K))\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 (K \u2228 0)\n((K \u2227 1) \u2227 (T \u2228 T)) \u2227 ((K \u2228 0) \u2228 0)\n((T \u2228 T) \u2227 (K \u2227 1)) \u2227 ((0 \u2228 K) \u2228 0)\n(K \u2227 (1 \u2227 (T \u2228 T))) \u2227 ((0 \u2228 K) \u2228 0)\n(((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((K \u2227 1) \u2227 T) \u2227 ((0 \u2228 K) \u2228 0)\n(K \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\n((1 \u2227 K) \u2227 (T \u2228 T)) \u2227 ((0 \u2228 K) \u2228 0)\nChosen: (((K \u2227 1) \u2227 T) \u2228 ((K \u2227 1) \u2227 T)) \u2227 ((0 \u2228 K) \u2228 0)", "id": 1809}, {"char_len": 480, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 1192, 7, 83193, 7, 83193, 15, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 15, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 220, 15, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 7, 83193, 48, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 48, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 220, 15, 198, 7, 15, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 83193, 15, 340, 15, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 48, 1192, 15, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 12264, 101, 320, 83193, 48, 340, 7, 83193, 48, 8, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 48, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 283, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac0)) \u2228 ((\u00acQ) \u2228 (\u00ac0))\n\nOptions:\n((\u00acQ) \u2228 (\u00ac0)) \u2228 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2228 (\u00acQ)) \u2228 (\u00ac0)\n(\u00ac(\u00ac0)) \u2228 ((\u00ac0) \u2228 (\u00acQ))\n(\u00ac(\u00ac0)) \u2228 ((\u00acQ) \u2228 1)\n0 \u2228 ((\u00acQ) \u2228 (\u00ac0))\n(\u00ac1) \u2228 ((\u00acQ) \u2228 (\u00ac0))\nChosen: 0 \u2228 ((\u00acQ) \u2228 (\u00ac0))\n\nOptions:\n(\u00acQ) \u2228 (\u00ac0)\n((\u00acQ) \u2228 (\u00ac0)) \u2228 0\n(0 \u2228 (\u00acQ)) \u2228 (\u00ac0)\n0 \u2228 ((\u00ac0) \u2228 (\u00acQ))\n0 \u2228 ((\u00acQ) \u2228 1)\nChosen: (\u00acQ) \u2228 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2228 (\u00acQ)\n(\u00acQ) \u2228 1\nChosen: (\u00acQ) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00acQ)\nChosen: 1", "id": 1810}, {"char_len": 1091, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 42, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 735, 595, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 83193, 42, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 42, 340, 1209, 83193, 42, 8, 12264, 101, 320, 16, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 42, 75078, 220, 16, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 6774, 83193, 42, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1209, 83193, 42, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1163, 8477, 25, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 16, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 735, 595, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 42, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 42, 75078, 220, 16, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 7, 16, 12264, 101, 320, 83193, 42, 595, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 7, 16, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 735, 595, 75078, 320, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 6054, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 7861, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 1192, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 42, 340, 7, 16, 12264, 101, 320, 16, 12264, 101, 320, 83193, 42, 7861, 75078, 320, 83193, 7, 42, 75078, 220, 16, 1192, 16, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1209, 16, 12264, 101, 320, 83193, 42, 595, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 7, 16, 12264, 101, 1819, 83193, 42, 8, 12264, 101, 220, 16, 595, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 16, 75078, 735, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 735, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 42, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 42, 340, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 42, 75078, 220, 16, 1192, 16, 75078, 320, 83193, 7, 16, 75078, 735, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 7, 42, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 42, 75078, 220, 16, 595, 75078, 320, 16, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 42, 8, 12264, 101, 320, 83193, 16, 1192, 7, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 42, 340, 16, 75078, 320, 83193, 7, 42, 75078, 220, 16, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 75078, 320, 83193, 42, 8], "tokenizer": "cl100k_base", "tokens_len": 687, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acK) \u2228 (1 \u2228 1)) \u2227 (\u00ac(1 \u2227 K))\n\nOptions:\n(\u00ac(1 \u2227 K)) \u2227 ((\u00acK) \u2228 (1 \u2228 1))\n((\u00acK) \u2228 (1 \u2228 1)) \u2227 ((\u00ac1) \u2228 (\u00acK))\n((\u00acK) \u2228 (1 \u2228 1)) \u2227 (\u00acK)\n((\u00acK) \u2228 (1 \u2228 1)) \u2227 (\u00ac(K \u2227 1))\n((1 \u2228 1) \u2228 (\u00acK)) \u2227 (\u00ac(1 \u2227 K))\n(((\u00acK) \u2228 1) \u2228 1) \u2227 (\u00ac(1 \u2227 K))\n((\u00acK) \u2228 1) \u2227 (\u00ac(1 \u2227 K))\nChosen: ((1 \u2228 1) \u2228 (\u00acK)) \u2227 (\u00ac(1 \u2227 K))\n\nOptions:\n(\u00ac(1 \u2227 K)) \u2227 ((1 \u2228 1) \u2228 (\u00acK))\n((1 \u2228 1) \u2228 (\u00acK)) \u2227 ((\u00ac1) \u2228 (\u00acK))\n((1 \u2228 1) \u2228 (\u00acK)) \u2227 (\u00acK)\n((1 \u2228 1) \u2228 (\u00acK)) \u2227 (\u00ac(K \u2227 1))\n(1 \u2228 (1 \u2228 (\u00acK))) \u2227 (\u00ac(1 \u2227 K))\n(1 \u2228 (\u00acK)) \u2227 (\u00ac(1 \u2227 K))\nChosen: (1 \u2228 (1 \u2228 (\u00acK))) \u2227 (\u00ac(1 \u2227 K))\n\nOptions:\n(\u00ac(1 \u2227 K)) \u2227 (1 \u2228 (1 \u2228 (\u00acK)))\n(1 \u2228 (1 \u2228 (\u00acK))) \u2227 ((\u00ac1) \u2228 (\u00acK))\n(1 \u2228 (1 \u2228 (\u00acK))) \u2227 (\u00acK)\n(1 \u2228 (1 \u2228 (\u00acK))) \u2227 (\u00ac(K \u2227 1))\n1 \u2227 (\u00ac(1 \u2227 K))\n((1 \u2228 (\u00acK)) \u2228 1) \u2227 (\u00ac(1 \u2227 K))\n(1 \u2228 1) \u2227 (\u00ac(1 \u2227 K))\n(1 \u2228 ((\u00acK) \u2228 1)) \u2227 (\u00ac(1 \u2227 K))\nChosen: (1 \u2228 1) \u2227 (\u00ac(1 \u2227 K))\n\nOptions:\n(\u00ac(1 \u2227 K)) \u2227 (1 \u2228 1)\n(1 \u2228 1) \u2227 ((\u00ac1) \u2228 (\u00acK))\n(1 \u2228 1) \u2227 (\u00acK)\n(1 \u2228 1) \u2227 (\u00ac(K \u2227 1))\n1 \u2227 (\u00ac(1 \u2227 K))\nChosen: (1 \u2228 1) \u2227 (\u00ac(K \u2227 1))\n\nOptions:\n(\u00ac(K \u2227 1)) \u2227 (1 \u2228 1)\n(1 \u2228 1) \u2227 ((\u00acK) \u2228 (\u00ac1))\n(1 \u2228 1) \u2227 (\u00acK)\n1 \u2227 (\u00ac(K \u2227 1))\nChosen: (1 \u2228 1) \u2227 (\u00acK)", "id": 1811}, {"char_len": 1862, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 1192, 6774, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 11861, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 320, 83193, 34, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 34, 6054, 1209, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 38, 12264, 101, 356, 8, 12264, 101, 320, 83193, 34, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 34, 12264, 101, 480, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 11861, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 340, 67944, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 52200, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 83193, 34, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 34, 6054, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 38, 12264, 101, 320, 83193, 34, 595, 12264, 101, 356, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 11861, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 595, 75078, 11861, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 340, 67944, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 52200, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 83193, 34, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 34, 6054, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 83193, 34, 8, 12264, 101, 320, 38, 12264, 101, 356, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 38, 12264, 101, 320, 83193, 34, 595, 12264, 101, 356, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 320, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 595, 75078, 320, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 1192, 1209, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 83193, 34, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 34, 6054, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 320, 83193, 34, 595, 12264, 101, 480, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 320, 38, 12264, 101, 320, 83193, 34, 7861, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 320, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 16, 12264, 101, 320, 83193, 34, 4489, 3883, 512, 7, 16, 12264, 101, 320, 83193, 34, 595, 75078, 320, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 1192, 1209, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 220, 16, 8, 12264, 101, 1819, 34, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 320, 83193, 34, 1192, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 220, 16, 198, 3100, 12264, 101, 1819, 83193, 34, 8, 12264, 101, 480, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 220, 16, 340, 6774, 83193, 34, 8, 12264, 101, 480, 8, 12264, 101, 356, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1209, 34, 12264, 101, 320, 83193, 34, 595, 12264, 101, 480, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 3100, 12264, 101, 320, 38, 12264, 101, 320, 83193, 34, 7861, 75078, 320, 16, 12264, 101, 320, 83193, 34, 1192, 1163, 8477, 25, 1819, 34, 12264, 101, 320, 83193, 34, 595, 12264, 101, 480, 8, 75078, 320, 16, 12264, 101, 320, 83193, 34, 595], "tokenizer": "cl100k_base", "tokens_len": 1222, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acC) \u2228 (G \u2228 C)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n\nOptions:\n((0 \u2228 1) \u2228 (\u00acC)) \u2227 ((\u00acC) \u2228 (G \u2228 C))\n(((\u00acC) \u2228 (G \u2228 C)) \u2227 (0 \u2228 1)) \u2228 (((\u00acC) \u2228 (G \u2228 C)) \u2227 (\u00acC))\n((\u00acC) \u2228 (G \u2228 C)) \u2227 ((\u00acC) \u2228 (0 \u2228 1))\n((\u00acC) \u2228 (G \u2228 C)) \u2227 (0 \u2228 (1 \u2228 (\u00acC)))\n((\u00acC) \u2228 (G \u2228 C)) \u2227 (1 \u2228 (\u00acC))\n((\u00acC) \u2228 (G \u2228 C)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n((G \u2228 C) \u2228 (\u00acC)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n((\u00acC) \u2228 (C \u2228 G)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\nChosen: (((\u00acC) \u2228 G) \u2228 C) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n\nOptions:\n((0 \u2228 1) \u2228 (\u00acC)) \u2227 (((\u00acC) \u2228 G) \u2228 C)\n((((\u00acC) \u2228 G) \u2228 C) \u2227 (0 \u2228 1)) \u2228 ((((\u00acC) \u2228 G) \u2228 C) \u2227 (\u00acC))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 ((\u00acC) \u2228 (0 \u2228 1))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 (0 \u2228 (1 \u2228 (\u00acC)))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 (1 \u2228 (\u00acC))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n((G \u2228 (\u00acC)) \u2228 C) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\nChosen: (((\u00acC) \u2228 G) \u2228 C) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00acC)) \u2227 (((\u00acC) \u2228 G) \u2228 C)\n((((\u00acC) \u2228 G) \u2228 C) \u2227 (1 \u2228 0)) \u2228 ((((\u00acC) \u2228 G) \u2228 C) \u2227 (\u00acC))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 ((\u00acC) \u2228 (1 \u2228 0))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 (1 \u2228 (0 \u2228 (\u00acC)))\n(((\u00acC) \u2228 G) \u2228 C) \u2227 (1 \u2228 (\u00acC))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n((\u00acC) \u2228 (G \u2228 C)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n((G \u2228 (\u00acC)) \u2228 C) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\nChosen: (C \u2228 ((\u00acC) \u2228 G)) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n\nOptions:\n((1 \u2228 0) \u2228 (\u00acC)) \u2227 (C \u2228 ((\u00acC) \u2228 G))\n((C \u2228 ((\u00acC) \u2228 G)) \u2227 (1 \u2228 0)) \u2228 ((C \u2228 ((\u00acC) \u2228 G)) \u2227 (\u00acC))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 ((\u00acC) \u2228 (1 \u2228 0))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 (1 \u2228 (0 \u2228 (\u00acC)))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 (1 \u2228 (\u00acC))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 ((0 \u2228 1) \u2228 (\u00acC))\n((C \u2228 (\u00acC)) \u2228 G) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\n(C \u2228 (G \u2228 (\u00acC))) \u2227 ((1 \u2228 0) \u2228 (\u00acC))\nChosen: (C \u2228 ((\u00acC) \u2228 G)) \u2227 (1 \u2228 (\u00acC))\n\nOptions:\n(1 \u2228 (\u00acC)) \u2227 (C \u2228 ((\u00acC) \u2228 G))\n((C \u2228 ((\u00acC) \u2228 G)) \u2227 1) \u2228 ((C \u2228 ((\u00acC) \u2228 G)) \u2227 (\u00acC))\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 1\n(C \u2228 ((\u00acC) \u2228 G)) \u2227 ((\u00acC) \u2228 1)\n(((\u00acC) \u2228 G) \u2228 C) \u2227 (1 \u2228 (\u00acC))\n((C \u2228 (\u00acC)) \u2228 G) \u2227 (1 \u2228 (\u00acC))\n(C \u2228 (G \u2228 (\u00acC))) \u2227 (1 \u2228 (\u00acC))\nChosen: ((C \u2228 (\u00acC)) \u2228 G) \u2227 (1 \u2228 (\u00acC))", "id": 1812}, {"char_len": 2588, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 320, 16, 12264, 101, 816, 595, 12264, 101, 320, 83193, 7, 16, 12264, 101, 1630, 4489, 3883, 512, 7, 83193, 7, 16, 12264, 101, 1630, 595, 12264, 101, 1819, 15, 12264, 101, 1630, 8, 12264, 101, 320, 16, 12264, 101, 816, 1192, 7, 15, 12264, 101, 1630, 8, 12264, 101, 1819, 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"cl100k_base", "tokens_len": 1748, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 X) \u2228 (1 \u2228 Y)) \u2228 (\u00ac(1 \u2228 X))\n\nOptions:\n(\u00ac(1 \u2228 X)) \u2228 ((0 \u2228 X) \u2228 (1 \u2228 Y))\n(0 \u2228 X) \u2228 ((1 \u2228 Y) \u2228 (\u00ac(1 \u2228 X)))\n((0 \u2228 X) \u2228 (1 \u2228 Y)) \u2228 ((\u00ac1) \u2227 (\u00acX))\n((0 \u2228 X) \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)\n((0 \u2228 X) \u2228 (1 \u2228 Y)) \u2228 (\u00ac(X \u2228 1))\n((1 \u2228 Y) \u2228 (0 \u2228 X)) \u2228 (\u00ac(1 \u2228 X))\n(((0 \u2228 X) \u2228 1) \u2228 Y) \u2228 (\u00ac(1 \u2228 X))\n(0 \u2228 (X \u2228 (1 \u2228 Y))) \u2228 (\u00ac(1 \u2228 X))\n((0 \u2228 X) \u2228 1) \u2228 (\u00ac(1 \u2228 X))\n((0 \u2228 X) \u2228 (Y \u2228 1)) \u2228 (\u00ac(1 \u2228 X))\n(X \u2228 (1 \u2228 Y)) \u2228 (\u00ac(1 \u2228 X))\n((X \u2228 0) \u2228 (1 \u2228 Y)) \u2228 (\u00ac(1 \u2228 X))\nChosen: (X \u2228 (1 \u2228 Y)) \u2228 (\u00ac(1 \u2228 X))\n\nOptions:\n(\u00ac(1 \u2228 X)) \u2228 (X \u2228 (1 \u2228 Y))\nX \u2228 ((1 \u2228 Y) \u2228 (\u00ac(1 \u2228 X)))\n(X \u2228 (1 \u2228 Y)) \u2228 ((\u00ac1) \u2227 (\u00acX))\n(X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)\n(X \u2228 (1 \u2228 Y)) \u2228 (\u00ac(X \u2228 1))\n((1 \u2228 Y) \u2228 X) \u2228 (\u00ac(1 \u2228 X))\n((X \u2228 1) \u2228 Y) \u2228 (\u00ac(1 \u2228 X))\n(X \u2228 1) \u2228 (\u00ac(1 \u2228 X))\n(X \u2228 (Y \u2228 1)) \u2228 (\u00ac(1 \u2228 X))\nChosen: (X \u2228 (1 \u2228 Y)) \u2228 ((\u00ac1) \u2227 (\u00acX))\n\nOptions:\n((\u00ac1) \u2227 (\u00acX)) \u2228 (X \u2228 (1 \u2228 Y))\nX \u2228 ((1 \u2228 Y) \u2228 ((\u00ac1) \u2227 (\u00acX)))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(X \u2228 (1 \u2228 Y)) \u2228 ((\u00acX) \u2227 (\u00ac1))\n(X \u2228 (1 \u2228 Y)) \u2228 (0 \u2227 (\u00acX))\n((1 \u2228 Y) \u2228 X) \u2228 ((\u00ac1) \u2227 (\u00acX))\n((X \u2228 1) \u2228 Y) \u2228 ((\u00ac1) \u2227 (\u00acX))\n(X \u2228 1) \u2228 ((\u00ac1) \u2227 (\u00acX))\n(X \u2228 (Y \u2228 1)) \u2228 ((\u00ac1) \u2227 (\u00acX))\nChosen: ((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n\nOptions:\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1))\n(((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 (X \u2228 (1 \u2228 Y))) \u2228 (((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 (\u00acX))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 ((\u00acX) \u2228 (X \u2228 (1 \u2228 Y)))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 (X \u2228 ((1 \u2228 Y) \u2228 (\u00acX)))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 (((1 \u2228 Y) \u2228 X) \u2228 (\u00acX))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 (((X \u2228 1) \u2228 Y) \u2228 (\u00acX))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 ((X \u2228 1) \u2228 (\u00acX))\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00ac1)) \u2227 ((X \u2228 (Y \u2228 1)) \u2228 (\u00acX))\n((\u00ac1) \u2228 (X \u2228 (1 \u2228 Y))) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(X \u2228 ((1 \u2228 Y) \u2228 (\u00ac1))) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n((X \u2228 (1 \u2228 Y)) \u2228 0) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(((1 \u2228 Y) \u2228 X) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(((X \u2228 1) \u2228 Y) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n((X \u2228 (Y \u2228 1)) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\nChosen: ((X \u2228 1) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n\nOptions:\n((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX)) \u2227 ((X \u2228 1) \u2228 (\u00ac1))\n(((X \u2228 1) \u2228 (\u00ac1)) \u2227 (X \u2228 (1 \u2228 Y))) \u2228 (((X \u2228 1) \u2228 (\u00ac1)) \u2227 (\u00acX))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 ((\u00acX) \u2228 (X \u2228 (1 \u2228 Y)))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 (X \u2228 ((1 \u2228 Y) \u2228 (\u00acX)))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 (((1 \u2228 Y) \u2228 X) \u2228 (\u00acX))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 (((X \u2228 1) \u2228 Y) \u2228 (\u00acX))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 ((X \u2228 1) \u2228 (\u00acX))\n((X \u2228 1) \u2228 (\u00ac1)) \u2227 ((X \u2228 (Y \u2228 1)) \u2228 (\u00acX))\n((\u00ac1) \u2228 (X \u2228 1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(X \u2228 (1 \u2228 (\u00ac1))) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n((X \u2228 1) \u2228 0) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n(1 \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\n((1 \u2228 X) \u2228 (\u00ac1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))\nChosen: ((\u00ac1) \u2228 (X \u2228 1)) \u2227 ((X \u2228 (1 \u2228 Y)) \u2228 (\u00acX))", "id": 1813}, {"char_len": 983, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 432, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 432, 595, 12264, 101, 1819, 15, 12264, 101, 432, 8, 75078, 320, 16, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 432, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 15, 12264, 101, 432, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 49, 75078, 393, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 432, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 6774, 15, 12264, 101, 432, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 432, 8, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1209, 15, 12264, 101, 432, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 2855, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1209, 49, 12264, 101, 220, 15, 8, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1163, 8477, 25, 320, 49, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 432, 595, 12264, 101, 320, 49, 75078, 320, 16, 12264, 101, 220, 16, 1192, 2855, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 49, 1192, 2855, 75078, 320, 16, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 7, 49, 75078, 393, 1192, 1209, 16, 12264, 101, 220, 16, 8, 75078, 432, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1209, 49, 75078, 220, 16, 8, 12264, 101, 320, 49, 75078, 220, 16, 595, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 2855, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1163, 8477, 25, 320, 49, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 432, 595, 12264, 101, 320, 49, 75078, 220, 16, 340, 2855, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 49, 1192, 2855, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 49, 75078, 393, 1192, 49, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 7, 16, 75078, 432, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1163, 8477, 25, 320, 16, 75078, 432, 8, 12264, 101, 320, 83193, 7, 47, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 432, 595, 12264, 101, 320, 16, 75078, 432, 340, 7, 16, 75078, 432, 8, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 49, 1192, 7, 16, 75078, 432, 8, 12264, 101, 320, 83193, 7, 49, 75078, 393, 1192, 49, 12264, 101, 320, 83193, 7, 47, 75078, 432, 1192, 1163, 8477, 25, 432, 12264, 101, 320, 83193, 7, 47, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 47, 75078, 432, 595, 12264, 101, 432, 198, 49, 12264, 101, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 49, 1192, 49, 12264, 101, 320, 83193, 7, 49, 75078, 393, 1192, 1163, 8477, 25, 432, 12264, 101, 320, 83193, 7, 49, 75078, 393, 595], "tokenizer": "cl100k_base", "tokens_len": 594, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 R) \u2227 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 R))\n\nOptions:\n(\u00ac(P \u2227 R)) \u2228 ((0 \u2228 R) \u2227 (1 \u2228 1))\n((0 \u2228 R) \u2227 (1 \u2228 1)) \u2228 ((\u00acP) \u2228 (\u00acR))\n((0 \u2228 R) \u2227 (1 \u2228 1)) \u2228 (\u00ac(R \u2227 P))\n((1 \u2228 1) \u2227 (0 \u2228 R)) \u2228 (\u00ac(P \u2227 R))\n(((0 \u2228 R) \u2227 1) \u2228 ((0 \u2228 R) \u2227 1)) \u2228 (\u00ac(P \u2227 R))\n((0 \u2228 R) \u2227 1) \u2228 (\u00ac(P \u2227 R))\n(R \u2227 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 R))\n((R \u2228 0) \u2227 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 R))\nChosen: (R \u2227 (1 \u2228 1)) \u2228 (\u00ac(P \u2227 R))\n\nOptions:\n(\u00ac(P \u2227 R)) \u2228 (R \u2227 (1 \u2228 1))\n(R \u2227 (1 \u2228 1)) \u2228 ((\u00acP) \u2228 (\u00acR))\n(R \u2227 (1 \u2228 1)) \u2228 (\u00ac(R \u2227 P))\n((1 \u2228 1) \u2227 R) \u2228 (\u00ac(P \u2227 R))\n((R \u2227 1) \u2228 (R \u2227 1)) \u2228 (\u00ac(P \u2227 R))\n(R \u2227 1) \u2228 (\u00ac(P \u2227 R))\nChosen: (R \u2227 1) \u2228 (\u00ac(P \u2227 R))\n\nOptions:\n(\u00ac(P \u2227 R)) \u2228 (R \u2227 1)\n(R \u2227 1) \u2228 ((\u00acP) \u2228 (\u00acR))\n(R \u2227 1) \u2228 (\u00ac(R \u2227 P))\nR \u2228 (\u00ac(P \u2227 R))\n(1 \u2227 R) \u2228 (\u00ac(P \u2227 R))\nChosen: (1 \u2227 R) \u2228 (\u00ac(P \u2227 R))\n\nOptions:\n(\u00ac(P \u2227 R)) \u2228 (1 \u2227 R)\n(1 \u2227 R) \u2228 ((\u00acP) \u2228 (\u00acR))\n(1 \u2227 R) \u2228 (\u00ac(R \u2227 P))\nR \u2228 (\u00ac(P \u2227 R))\nChosen: R \u2228 (\u00ac(P \u2227 R))\n\nOptions:\n(\u00ac(P \u2227 R)) \u2228 R\nR \u2228 ((\u00acP) \u2228 (\u00acR))\nR \u2228 (\u00ac(R \u2227 P))\nChosen: R \u2228 (\u00ac(R \u2227 P))", "id": 1814}, {"char_len": 942, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 4489, 3883, 512, 1209, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 595, 12264, 101, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 549, 595, 75078, 1819, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 38, 75078, 480, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 1819, 38, 75078, 480, 8, 75078, 320, 16, 12264, 101, 549, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 11861, 16, 12264, 101, 549, 8, 75078, 480, 8, 75078, 480, 340, 7, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 480, 340, 7, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 38, 75078, 480, 1192, 7, 83193, 7, 16, 75078, 220, 15, 595, 12264, 101, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 38, 75078, 480, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 1192, 7, 83193, 7, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 4489, 3883, 512, 1209, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 549, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 38, 75078, 480, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 38, 75078, 480, 8, 75078, 320, 16, 12264, 101, 549, 1192, 7, 83193, 15, 8, 12264, 101, 11861, 16, 12264, 101, 549, 8, 75078, 480, 8, 75078, 480, 340, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 480, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 75078, 320, 38, 75078, 480, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 38, 75078, 480, 1192, 16, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 4489, 3883, 512, 16, 198, 1209, 16, 12264, 101, 549, 8, 75078, 320, 38, 75078, 480, 595, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 320, 16, 12264, 101, 549, 595, 75078, 320, 16, 12264, 101, 320, 38, 75078, 480, 1192, 16, 12264, 101, 1819, 38, 75078, 480, 8, 75078, 320, 16, 12264, 101, 549, 1192, 16, 12264, 101, 11861, 16, 12264, 101, 549, 8, 75078, 480, 8, 75078, 480, 340, 16, 12264, 101, 1819, 16, 12264, 101, 549, 8, 75078, 480, 340, 16, 12264, 101, 320, 16, 75078, 320, 38, 75078, 480, 1192, 16, 12264, 101, 1819, 52, 12264, 101, 220, 16, 8, 75078, 320, 38, 75078, 480, 1192, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 562, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2227 0)) \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\n\nOptions:\n((1 \u2228 U) \u2227 (G \u2227 G)) \u2228 (\u00ac(1 \u2227 0))\n((\u00ac(1 \u2227 0)) \u2228 (1 \u2228 U)) \u2227 ((\u00ac(1 \u2227 0)) \u2228 (G \u2227 G))\n(\u00ac(1 \u2227 0)) \u2228 ((G \u2227 G) \u2227 (1 \u2228 U))\n(\u00ac(1 \u2227 0)) \u2228 (((1 \u2228 U) \u2227 G) \u2227 G)\n(\u00ac(1 \u2227 0)) \u2228 ((1 \u2228 U) \u2227 G)\n(\u00ac(1 \u2227 0)) \u2228 (1 \u2227 (G \u2227 G))\n(\u00ac(1 \u2227 0)) \u2228 ((U \u2228 1) \u2227 (G \u2227 G))\n((\u00ac1) \u2228 (\u00ac0)) \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\n(\u00ac0) \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\n(\u00ac(0 \u2227 1)) \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\nChosen: (\u00ac0) \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\n\nOptions:\n((1 \u2228 U) \u2227 (G \u2227 G)) \u2228 (\u00ac0)\n((\u00ac0) \u2228 (1 \u2228 U)) \u2227 ((\u00ac0) \u2228 (G \u2227 G))\n(\u00ac0) \u2228 ((G \u2227 G) \u2227 (1 \u2228 U))\n(\u00ac0) \u2228 (((1 \u2228 U) \u2227 G) \u2227 G)\n(\u00ac0) \u2228 ((1 \u2228 U) \u2227 G)\n(\u00ac0) \u2228 (1 \u2227 (G \u2227 G))\n(\u00ac0) \u2228 ((U \u2228 1) \u2227 (G \u2227 G))\n1 \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\nChosen: 1 \u2228 ((1 \u2228 U) \u2227 (G \u2227 G))\n\nOptions:\n1\n((1 \u2228 U) \u2227 (G \u2227 G)) \u2228 1\n(1 \u2228 (1 \u2228 U)) \u2227 (1 \u2228 (G \u2227 G))\n1 \u2228 ((G \u2227 G) \u2227 (1 \u2228 U))\n1 \u2228 (((1 \u2228 U) \u2227 G) \u2227 G)\n1 \u2228 ((1 \u2228 U) \u2227 G)\n1 \u2228 (1 \u2227 (G \u2227 G))\n1 \u2228 ((U \u2228 1) \u2227 (G \u2227 G))\nChosen: 1", "id": 1815}, {"char_len": 953, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 16, 595, 75078, 1819, 44, 12264, 101, 386, 8, 75078, 320, 53, 75078, 650, 4489, 3883, 512, 1209, 44, 12264, 101, 386, 8, 75078, 320, 53, 75078, 650, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 320, 44, 12264, 101, 386, 595, 75078, 320, 53, 75078, 650, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 53, 75078, 650, 8, 75078, 320, 44, 12264, 101, 386, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 11861, 44, 12264, 101, 386, 8, 75078, 650, 8, 75078, 650, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 44, 12264, 101, 386, 8, 75078, 650, 340, 7, 83193, 7, 83193, 16, 595, 75078, 320, 44, 75078, 320, 53, 75078, 650, 1192, 16, 75078, 1819, 44, 12264, 101, 386, 8, 75078, 320, 53, 75078, 650, 1192, 7, 83193, 15, 8, 75078, 1819, 44, 12264, 101, 386, 8, 75078, 320, 53, 75078, 650, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 16, 595, 75078, 320, 44, 75078, 320, 53, 75078, 650, 4489, 3883, 512, 3269, 75078, 320, 53, 75078, 650, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 386, 8, 75078, 320, 53, 75078, 650, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 53, 75078, 650, 8, 75078, 386, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 44, 75078, 650, 8, 75078, 650, 340, 7, 83193, 7, 83193, 16, 595, 75078, 320, 44, 75078, 650, 340, 16, 75078, 320, 44, 75078, 320, 53, 75078, 650, 1192, 7, 83193, 15, 8, 75078, 320, 44, 75078, 320, 53, 75078, 650, 1192, 1163, 8477, 25, 320, 44, 75078, 320, 53, 75078, 650, 595, 75078, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 44, 75078, 1819, 53, 75078, 650, 8, 75078, 320, 83193, 7, 83193, 16, 6054, 3269, 75078, 320, 53, 75078, 650, 595, 75078, 220, 16, 198, 3269, 75078, 320, 53, 75078, 650, 595, 75078, 320, 83193, 15, 340, 1209, 53, 75078, 650, 8, 75078, 386, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 44, 75078, 650, 8, 75078, 650, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 3269, 75078, 650, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 44, 75078, 650, 8, 75078, 320, 83193, 7, 83193, 16, 4489, 3883, 512, 7, 83193, 7, 83193, 16, 595, 75078, 320, 44, 75078, 650, 340, 44, 75078, 320, 53, 75078, 320, 83193, 7, 83193, 16, 6054, 3269, 75078, 650, 8, 75078, 220, 16, 198, 3269, 75078, 650, 8, 75078, 320, 83193, 15, 340, 12692, 75078, 386, 8, 75078, 320, 83193, 7, 83193, 16, 1192, 1163, 8477, 25, 320, 44, 75078, 650, 8, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 44, 75078, 650, 340, 44, 75078, 320, 53, 75078, 320, 83193, 15, 1192, 3269, 75078, 650, 8, 75078, 220, 16, 198, 12692, 75078, 386, 8, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 386, 75078, 320, 53, 75078, 320, 83193, 15, 595], "tokenizer": "cl100k_base", "tokens_len": 520, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac1)) \u2227 ((M \u2228 M) \u2227 (V \u2227 V))\n\nOptions:\n((M \u2228 M) \u2227 (V \u2227 V)) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 (M \u2228 M)) \u2227 (V \u2227 V)\n(\u00ac(\u00ac1)) \u2227 ((V \u2227 V) \u2227 (M \u2228 M))\n(\u00ac(\u00ac1)) \u2227 (((M \u2228 M) \u2227 V) \u2227 V)\n(\u00ac(\u00ac1)) \u2227 ((M \u2228 M) \u2227 V)\n(\u00ac(\u00ac1)) \u2227 (M \u2227 (V \u2227 V))\n1 \u2227 ((M \u2228 M) \u2227 (V \u2227 V))\n(\u00ac0) \u2227 ((M \u2228 M) \u2227 (V \u2227 V))\nChosen: (\u00ac(\u00ac1)) \u2227 (M \u2227 (V \u2227 V))\n\nOptions:\n(M \u2227 (V \u2227 V)) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 M) \u2227 (V \u2227 V)\n(\u00ac(\u00ac1)) \u2227 ((V \u2227 V) \u2227 M)\n(\u00ac(\u00ac1)) \u2227 ((M \u2227 V) \u2227 V)\n(\u00ac(\u00ac1)) \u2227 (M \u2227 V)\n1 \u2227 (M \u2227 (V \u2227 V))\n(\u00ac0) \u2227 (M \u2227 (V \u2227 V))\nChosen: (M \u2227 (V \u2227 V)) \u2227 (\u00ac(\u00ac1))\n\nOptions:\nM \u2227 ((V \u2227 V) \u2227 (\u00ac(\u00ac1)))\n(M \u2227 (V \u2227 V)) \u2227 1\n(M \u2227 (V \u2227 V)) \u2227 (\u00ac0)\n((V \u2227 V) \u2227 M) \u2227 (\u00ac(\u00ac1))\n((M \u2227 V) \u2227 V) \u2227 (\u00ac(\u00ac1))\n(M \u2227 V) \u2227 (\u00ac(\u00ac1))\nChosen: (M \u2227 V) \u2227 (\u00ac(\u00ac1))\n\nOptions:\n(\u00ac(\u00ac1)) \u2227 (M \u2227 V)\nM \u2227 (V \u2227 (\u00ac(\u00ac1)))\n(M \u2227 V) \u2227 1\n(M \u2227 V) \u2227 (\u00ac0)\n(V \u2227 M) \u2227 (\u00ac(\u00ac1))\nChosen: (M \u2227 V) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 (M \u2227 V)\nM \u2227 (V \u2227 (\u00ac0))\n(M \u2227 V) \u2227 1\n(V \u2227 M) \u2227 (\u00ac0)\nChosen: M \u2227 (V \u2227 (\u00ac0))", "id": 1816}, {"char_len": 440, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 75078, 468, 595, 75078, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 7, 16, 75078, 468, 1192, 7, 83193, 7, 16, 75078, 468, 595, 75078, 220, 15, 198, 7, 83193, 7, 16, 75078, 468, 595, 75078, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 54, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 7, 83193, 54, 8, 75078, 320, 83193, 7, 83193, 15, 1192, 7, 83193, 7, 54, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 54, 8, 75078, 320, 83193, 7, 83193, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 54, 340, 7, 83193, 54, 8, 75078, 220, 15, 198, 7, 83193, 54, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 54, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 54, 340, 7, 83193, 54, 8, 75078, 220, 15, 198, 1163, 8477, 25, 320, 83193, 54, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 54, 340, 1163, 8477, 25, 220, 15, 75078, 320, 83193, 54, 696, 3883, 512, 15, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 229, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2227 W)) \u2227 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac(1 \u2227 W))\n(\u00ac(1 \u2227 W)) \u2227 0\n(\u00ac(1 \u2227 W)) \u2227 (\u00ac1)\n((\u00ac1) \u2228 (\u00acW)) \u2227 (\u00ac(\u00ac0))\n(\u00acW) \u2227 (\u00ac(\u00ac0))\n(\u00ac(W \u2227 1)) \u2227 (\u00ac(\u00ac0))\nChosen: (\u00acW) \u2227 (\u00ac(\u00ac0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00acW)\n(\u00acW) \u2227 0\n(\u00acW) \u2227 (\u00ac1)\nChosen: (\u00acW) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00acW)\n(\u00acW) \u2227 0\nChosen: (\u00acW) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00acW)\nChosen: 0 \u2227 (\u00acW)\n\nOptions:\n0\nChosen: 0", "id": 1817}, {"char_len": 561, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 320, 48, 12264, 101, 220, 16, 4489, 3883, 512, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 7, 48, 12264, 101, 220, 16, 1192, 83193, 1209, 48, 12264, 101, 220, 16, 8, 12264, 101, 320, 48, 12264, 101, 1229, 1192, 83193, 6774, 48, 12264, 101, 1229, 8, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 83193, 7, 48, 12264, 101, 320, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 6054, 83193, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 340, 83193, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 320, 16, 12264, 101, 1229, 1192, 83193, 7, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 48, 12264, 101, 1229, 8, 12264, 101, 220, 16, 696, 3883, 512, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 340, 83193, 16, 198, 83193, 7, 16, 12264, 101, 320, 48, 12264, 101, 1229, 1192, 83193, 7, 48, 12264, 101, 320, 48, 12264, 101, 220, 16, 1192, 83193, 7, 48, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 7, 48, 12264, 101, 1229, 1192, 7, 83193, 7, 48, 12264, 101, 1229, 595, 75078, 220, 15, 198, 1209, 83193, 48, 8, 75078, 320, 83193, 48, 595, 75078, 320, 83193, 16, 340, 7, 83193, 48, 8, 75078, 320, 83193, 16, 340, 1163, 8477, 25, 320, 83193, 48, 8, 75078, 320, 83193, 16, 696, 3883, 512, 7, 83193, 16, 8, 75078, 320, 83193, 48, 340, 7, 83193, 48, 8, 75078, 220, 15, 198, 1163, 8477, 25, 320, 83193, 48, 8, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 83193, 48, 340, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 328, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((Q \u2228 Q) \u2228 (Q \u2228 1))\n\nOptions:\n(\u00ac(Q \u2228 Q)) \u2227 (\u00ac(Q \u2228 1))\n\u00ac((Q \u2228 1) \u2228 (Q \u2228 Q))\n\u00ac(((Q \u2228 Q) \u2228 Q) \u2228 1)\n\u00ac(Q \u2228 (Q \u2228 (Q \u2228 1)))\n\u00ac((Q \u2228 Q) \u2228 1)\n\u00ac((Q \u2228 Q) \u2228 (1 \u2228 Q))\n\u00ac(Q \u2228 (Q \u2228 1))\nChosen: \u00ac((Q \u2228 Q) \u2228 1)\n\nOptions:\n(\u00ac(Q \u2228 Q)) \u2227 (\u00ac1)\n\u00ac1\n\u00ac(1 \u2228 (Q \u2228 Q))\n\u00ac(Q \u2228 (Q \u2228 1))\n\u00ac(Q \u2228 1)\nChosen: (\u00ac(Q \u2228 Q)) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00ac(Q \u2228 Q))\n(\u00ac(Q \u2228 Q)) \u2227 0\n((\u00acQ) \u2227 (\u00acQ)) \u2227 (\u00ac1)\n(\u00acQ) \u2227 (\u00ac1)\nChosen: (\u00acQ) \u2227 (\u00ac1)\n\nOptions:\n(\u00ac1) \u2227 (\u00acQ)\n(\u00acQ) \u2227 0\nChosen: (\u00acQ) \u2227 0\n\nOptions:\n0\n0 \u2227 (\u00acQ)\nChosen: 0", "id": 1818}, {"char_len": 198, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 16, 12264, 101, 1901, 4489, 3883, 512, 16, 12264, 101, 1901, 198, 83193, 1209, 83193, 16, 8, 75078, 320, 83193, 57, 1192, 83193, 7, 83193, 16, 340, 83193, 7, 83193, 7, 57, 12264, 101, 220, 16, 1192, 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": 79, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(1 \u2228 Z))\n\nOptions:\n1 \u2228 Z\n\u00ac((\u00ac1) \u2227 (\u00acZ))\n\u00ac(\u00ac1)\n\u00ac(\u00ac(Z \u2228 1))\nChosen: \u00ac(\u00ac1)\n\nOptions:\n1\n\u00ac0\nChosen: 1", "id": 1819}, {"char_len": 1889, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 595, 12264, 101, 1819, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 1192, 6774, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 1209, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 83193, 46, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 16, 12264, 101, 320, 83193, 46, 6054, 1209, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 6774, 83193, 46, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 46, 8, 75078, 220, 15, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 11861, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 696, 3883, 512, 7, 83193, 46, 8, 12264, 101, 11861, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 320, 83193, 46, 340, 67944, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 340, 6774, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 340, 6774, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 46, 340, 6774, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 67944, 83193, 46, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 6774, 83193, 46, 8, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 6774, 83193, 46, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 1163, 8477, 25, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 696, 3883, 512, 7, 83193, 46, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 320, 83193, 46, 340, 67944, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 340, 6774, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 340, 6774, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 46, 340, 1209, 15, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 1209, 15, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 6774, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 595, 12264, 101, 320, 83193, 46, 340, 1163, 8477, 25, 320, 83193, 46, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 4489, 3883, 512, 1209, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 6054, 7, 83193, 46, 8, 12264, 101, 52200, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 46, 8, 12264, 101, 11861, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 46, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1163, 8477, 25, 320, 83193, 46, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 696, 3883, 512, 6774, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 46, 340, 1209, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 220, 16, 198, 7, 83193, 46, 8, 12264, 101, 220, 16, 198, 7, 83193, 46, 8, 12264, 101, 320, 16, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 6054, 7, 83193, 46, 8, 12264, 101, 11861, 83193, 46, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 320, 16, 75078, 320, 83193, 46, 7861, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 340, 7, 83193, 46, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 75078, 320, 83193, 46, 595, 12264, 101, 220, 16, 340, 1163, 8477, 25, 1819, 83193, 46, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 75078, 320, 83193, 46, 7861, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1280, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acO) \u2227 (0 \u2227 1)) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\n\nOptions:\n((0 \u2228 1) \u2228 (\u00acO)) \u2228 ((\u00acO) \u2227 (0 \u2227 1))\n(((\u00acO) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n((\u00acO) \u2227 (0 \u2227 1)) \u2228 ((\u00acO) \u2228 (0 \u2228 1))\n((\u00acO) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 (1 \u2228 (\u00acO)))\n((\u00acO) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (\u00acO))\n((\u00acO) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 0) \u2228 (\u00acO))\n((0 \u2227 1) \u2227 (\u00acO)) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\n(((\u00acO) \u2227 0) \u2227 1) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\n((\u00acO) \u2227 0) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\n((\u00acO) \u2227 (1 \u2227 0)) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\nChosen: (((\u00acO) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n\nOptions:\n(\u00acO) \u2228 (((\u00acO) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 1))\n((0 \u2228 1) \u2228 ((\u00acO) \u2227 (0 \u2227 1))) \u2228 (\u00acO)\n((((\u00acO) \u2227 (0 \u2227 1)) \u2228 0) \u2228 1) \u2228 (\u00acO)\n(((\u00acO) \u2227 (0 \u2227 1)) \u2228 1) \u2228 (\u00acO)\n(((\u00acO) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 0)) \u2228 (\u00acO)\n(((0 \u2227 1) \u2227 (\u00acO)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n((((\u00acO) \u2227 0) \u2227 1) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n(((\u00acO) \u2227 0) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n(((\u00acO) \u2227 (1 \u2227 0)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\nChosen: (((0 \u2227 1) \u2227 (\u00acO)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n\nOptions:\n(\u00acO) \u2228 (((0 \u2227 1) \u2227 (\u00acO)) \u2228 (0 \u2228 1))\n((0 \u2227 1) \u2227 (\u00acO)) \u2228 ((0 \u2228 1) \u2228 (\u00acO))\n((0 \u2228 1) \u2228 ((0 \u2227 1) \u2227 (\u00acO))) \u2228 (\u00acO)\n((((0 \u2227 1) \u2227 (\u00acO)) \u2228 0) \u2228 1) \u2228 (\u00acO)\n(((0 \u2227 1) \u2227 (\u00acO)) \u2228 1) \u2228 (\u00acO)\n(((0 \u2227 1) \u2227 (\u00acO)) \u2228 (1 \u2228 0)) \u2228 (\u00acO)\n((0 \u2227 (1 \u2227 (\u00acO))) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n((0 \u2227 (\u00acO)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\n(((1 \u2227 0) \u2227 (\u00acO)) \u2228 (0 \u2228 1)) \u2228 (\u00acO)\nChosen: (\u00acO) \u2228 (((0 \u2227 1) \u2227 (\u00acO)) \u2228 (0 \u2228 1))\n\nOptions:\n((\u00acO) \u2228 ((0 \u2227 1) \u2227 (\u00acO))) \u2228 (0 \u2228 1)\n(\u00acO) \u2228 ((0 \u2228 1) \u2228 ((0 \u2227 1) \u2227 (\u00acO)))\n(\u00acO) \u2228 ((((0 \u2227 1) \u2227 (\u00acO)) \u2228 0) \u2228 1)\n(\u00acO) \u2228 (((0 \u2227 1) \u2227 (\u00acO)) \u2228 1)\n(\u00acO) \u2228 (((0 \u2227 1) \u2227 (\u00acO)) \u2228 (1 \u2228 0))\n(\u00acO) \u2228 (((\u00acO) \u2227 (0 \u2227 1)) \u2228 (0 \u2228 1))\n(\u00acO) \u2228 ((0 \u2227 (1 \u2227 (\u00acO))) \u2228 (0 \u2228 1))\n(\u00acO) \u2228 ((0 \u2227 (\u00acO)) \u2228 (0 \u2228 1))\n(\u00acO) \u2228 (((1 \u2227 0) \u2227 (\u00acO)) \u2228 (0 \u2228 1))\nChosen: (\u00acO) \u2228 (((0 \u2227 1) \u2227 (\u00acO)) \u2228 1)\n\nOptions:\n(((0 \u2227 1) \u2227 (\u00acO)) \u2228 1) \u2228 (\u00acO)\n((\u00acO) \u2228 ((0 \u2227 1) \u2227 (\u00acO))) \u2228 1\n(\u00acO) \u2228 1\n(\u00acO) \u2228 (1 \u2228 ((0 \u2227 1) \u2227 (\u00acO)))\n(\u00acO) \u2228 (((\u00acO) \u2227 (0 \u2227 1)) \u2228 1)\n(\u00acO) \u2228 ((0 \u2227 (1 \u2227 (\u00acO))) \u2228 1)\n(\u00acO) \u2228 ((0 \u2227 (\u00acO)) \u2228 1)\n(\u00acO) \u2228 (((1 \u2227 0) \u2227 (\u00acO)) \u2228 1)\nChosen: ((\u00acO) \u2228 ((0 \u2227 1) \u2227 (\u00acO))) \u2228 1", "id": 1820}, {"char_len": 2822, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 46, 75078, 220, 16, 8, 75078, 320, 46, 12264, 101, 386, 595, 75078, 1819, 15, 12264, 101, 507, 8, 12264, 101, 320, 44, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 15, 12264, 101, 507, 8, 12264, 101, 320, 44, 12264, 101, 220, 15, 595, 75078, 1819, 46, 75078, 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12264, 101, 386, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 507, 1192, 1209, 46, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 220, 15, 595, 12264, 101, 1819, 46, 75078, 320, 46, 12264, 101, 386, 595, 75078, 507, 340, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 46, 12264, 101, 320, 44, 12264, 101, 220, 15, 1192, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 1192, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 507, 340, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 1819, 15, 12264, 101, 386, 8, 12264, 101, 507, 340, 1209, 46, 12264, 101, 386, 8, 75078, 507, 8, 75078, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 507, 340, 1209, 46, 75078, 507, 8, 12264, 101, 320, 46, 75078, 386, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 507, 340, 19792, 75078, 320, 44, 12264, 101, 507, 595, 75078, 1819, 44, 12264, 101, 220, 15, 8, 12264, 101, 507, 340, 1163, 8477, 25, 320, 46, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 4489, 3883, 512, 3269, 12264, 101, 320, 15, 12264, 101, 507, 595, 75078, 320, 46, 75078, 320, 46, 12264, 101, 386, 1192, 46, 75078, 1819, 46, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 6054, 1209, 46, 75078, 320, 46, 12264, 101, 386, 595, 75078, 386, 8, 12264, 101, 1819, 46, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 15, 12264, 101, 507, 1192, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 1819, 15, 12264, 101, 507, 8, 12264, 101, 386, 340, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 507, 340, 19792, 75078, 320, 46, 12264, 101, 386, 595, 75078, 320, 44, 12264, 101, 320, 46, 12264, 101, 220, 15, 1192, 1209, 46, 12264, 101, 386, 8, 75078, 507, 8, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 1192, 1209, 46, 75078, 507, 8, 12264, 101, 320, 46, 75078, 386, 595, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 1192, 19792, 75078, 320, 44, 12264, 101, 507, 595, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 1192, 1163, 8477, 25, 507, 75078, 1819, 46, 12264, 101, 386, 8, 75078, 320, 44, 12264, 101, 320, 15, 12264, 101, 507, 7861], "tokenizer": "cl100k_base", "tokens_len": 1805, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n\nOptions:\n((0 \u2228 O) \u2228 (M \u2228 0)) \u2227 ((O \u2227 1) \u2227 (O \u2228 M))\n(O \u2227 1) \u2227 ((O \u2228 M) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0)))\n(((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (0 \u2228 O)) \u2228 (((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (M \u2228 0))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (((0 \u2228 O) \u2228 M) \u2228 0)\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (0 \u2228 (O \u2228 (M \u2228 0)))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 M)\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 (0 \u2228 M))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (O \u2228 (M \u2228 0))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((O \u2228 0) \u2228 (M \u2228 0))\n((O \u2228 M) \u2227 (O \u2227 1)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n(O \u2227 (1 \u2227 (O \u2228 M))) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n(((O \u2227 1) \u2227 O) \u2228 ((O \u2227 1) \u2227 M)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n((O \u2227 1) \u2227 (M \u2228 O)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n(O \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n((1 \u2227 O) \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\nChosen: ((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n\nOptions:\n((M \u2228 0) \u2228 (0 \u2228 O)) \u2227 ((O \u2227 1) \u2227 (O \u2228 M))\n(O \u2227 1) \u2227 ((O \u2228 M) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O)))\n(((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (M \u2228 0)) \u2228 (((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (0 \u2228 O))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (((M \u2228 0) \u2228 0) \u2228 O)\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 (0 \u2228 O)))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 O)\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (O \u2228 0))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 O))\n((O \u2227 1) \u2227 (O \u2228 M)) \u2227 ((0 \u2228 M) \u2228 (0 \u2228 O))\n((O \u2228 M) \u2227 (O \u2227 1)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n(O \u2227 (1 \u2227 (O \u2228 M))) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n(((O \u2227 1) \u2227 O) \u2228 ((O \u2227 1) \u2227 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n((O \u2227 1) \u2227 (M \u2228 O)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n(O \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n((1 \u2227 O) \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\nChosen: (O \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n\nOptions:\n((M \u2228 0) \u2228 (0 \u2228 O)) \u2227 (O \u2227 (O \u2228 M))\nO \u2227 ((O \u2228 M) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O)))\n((O \u2227 (O \u2228 M)) \u2227 (M \u2228 0)) \u2228 ((O \u2227 (O \u2228 M)) \u2227 (0 \u2228 O))\n(O \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 (M \u2228 0))\n(O \u2227 (O \u2228 M)) \u2227 (((M \u2228 0) \u2228 0) \u2228 O)\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 (0 \u2228 O)))\n(O \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 O)\n(O \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 (O \u2228 0))\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 O))\n(O \u2227 (O \u2228 M)) \u2227 ((0 \u2228 M) \u2228 (0 \u2228 O))\n((O \u2228 M) \u2227 O) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n((O \u2227 O) \u2228 (O \u2227 M)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\n(O \u2227 (M \u2228 O)) \u2227 ((M \u2228 0) \u2228 (0 \u2228 O))\nChosen: (O \u2227 (O \u2228 M)) \u2227 ((M \u2228 0) \u2228 O)\n\nOptions:\n((M \u2228 0) \u2228 O) \u2227 (O \u2227 (O \u2228 M))\nO \u2227 ((O \u2228 M) \u2227 ((M \u2228 0) \u2228 O))\n((O \u2227 (O \u2228 M)) \u2227 (M \u2228 0)) \u2228 ((O \u2227 (O \u2228 M)) \u2227 O)\n(O \u2227 (O \u2228 M)) \u2227 (O \u2228 (M \u2228 0))\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 O))\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 O)\n(O \u2227 (O \u2228 M)) \u2227 ((0 \u2228 M) \u2228 O)\n((O \u2228 M) \u2227 O) \u2227 ((M \u2228 0) \u2228 O)\n((O \u2227 O) \u2228 (O \u2227 M)) \u2227 ((M \u2228 0) \u2228 O)\n(O \u2227 (M \u2228 O)) \u2227 ((M \u2228 0) \u2228 O)\nChosen: (O \u2227 (O \u2228 M)) \u2227 (M \u2228 (0 \u2228 O))\n\nOptions:\n(M \u2228 (0 \u2228 O)) \u2227 (O \u2227 (O \u2228 M))\nO \u2227 ((O \u2228 M) \u2227 (M \u2228 (0 \u2228 O)))\n((O \u2227 (O \u2228 M)) \u2227 M) \u2228 ((O \u2227 (O \u2228 M)) \u2227 (0 \u2228 O))\n(O \u2227 (O \u2228 M)) \u2227 ((0 \u2228 O) \u2228 M)\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 O)\n(O \u2227 (O \u2228 M)) \u2227 (M \u2228 (O \u2228 0))\n((O \u2228 M) \u2227 O) \u2227 (M \u2228 (0 \u2228 O))\n((O \u2227 O) \u2228 (O \u2227 M)) \u2227 (M \u2228 (0 \u2228 O))\n(O \u2227 (M \u2228 O)) \u2227 (M \u2228 (0 \u2228 O))\nChosen: O \u2227 ((O \u2228 M) \u2227 (M \u2228 (0 \u2228 O)))", "id": 1821}, {"char_len": 470, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 34, 75078, 356, 8, 12264, 101, 320, 15, 12264, 101, 350, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 356, 595, 75078, 320, 83193, 7, 15, 12264, 101, 350, 1192, 83193, 1209, 15, 12264, 101, 350, 8, 12264, 101, 320, 34, 75078, 356, 1192, 83193, 6774, 34, 75078, 356, 8, 12264, 101, 220, 15, 8, 12264, 101, 350, 340, 83193, 1209, 34, 75078, 356, 8, 12264, 101, 350, 340, 83193, 1209, 34, 75078, 356, 8, 12264, 101, 320, 51, 12264, 101, 220, 15, 1192, 83193, 7, 34, 12264, 101, 320, 15, 12264, 101, 350, 1192, 1163, 8477, 25, 97265, 1209, 34, 75078, 356, 8, 12264, 101, 350, 696, 3883, 512, 7, 83193, 7, 34, 75078, 356, 595, 75078, 320, 83193, 51, 340, 83193, 7, 51, 12264, 101, 320, 34, 75078, 356, 1192, 83193, 7, 34, 12264, 101, 350, 340, 1163, 8477, 25, 97265, 7, 34, 12264, 101, 350, 696, 3883, 512, 7, 83193, 34, 8, 75078, 320, 83193, 51, 340, 83193, 7, 51, 12264, 101, 356, 340, 1163, 8477, 25, 97265, 7, 51, 12264, 101, 356, 696, 3883, 512, 7, 83193, 51, 8, 75078, 320, 83193, 34, 340, 1163, 8477, 25, 320, 83193, 51, 8, 75078, 320, 83193, 34, 696, 3883, 512, 7, 83193, 34, 8, 75078, 320, 83193, 51, 340, 1163, 8477, 25, 320, 83193, 34, 8, 75078, 320, 83193, 51, 8], "tokenizer": "cl100k_base", "tokens_len": 243, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((C \u2227 C) \u2228 (0 \u2228 T))\n\nOptions:\n(\u00ac(C \u2227 C)) \u2227 (\u00ac(0 \u2228 T))\n\u00ac((0 \u2228 T) \u2228 (C \u2227 C))\n\u00ac(((C \u2227 C) \u2228 0) \u2228 T)\n\u00ac((C \u2227 C) \u2228 T)\n\u00ac((C \u2227 C) \u2228 (T \u2228 0))\n\u00ac(C \u2228 (0 \u2228 T))\nChosen: \u00ac((C \u2227 C) \u2228 T)\n\nOptions:\n(\u00ac(C \u2227 C)) \u2227 (\u00acT)\n\u00ac(T \u2228 (C \u2227 C))\n\u00ac(C \u2228 T)\nChosen: \u00ac(C \u2228 T)\n\nOptions:\n(\u00acC) \u2227 (\u00acT)\n\u00ac(T \u2228 C)\nChosen: \u00ac(T \u2228 C)\n\nOptions:\n(\u00acT) \u2227 (\u00acC)\nChosen: (\u00acT) \u2227 (\u00acC)\n\nOptions:\n(\u00acC) \u2227 (\u00acT)\nChosen: (\u00acC) \u2227 (\u00acT)", "id": 1822}, {"char_len": 884, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 16, 75078, 432, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 7, 16, 75078, 432, 1192, 1209, 83193, 7, 16, 75078, 432, 595, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 7, 16, 75078, 432, 595, 75078, 320, 83193, 49, 1192, 7, 83193, 7, 16, 75078, 432, 595, 75078, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 16, 1192, 7, 83193, 7, 16, 75078, 432, 595, 75078, 320, 15, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 49, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 7, 83193, 7, 49, 75078, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 7, 16, 75078, 432, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 49, 340, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 7, 49, 75078, 220, 16, 1192, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 75078, 432, 1192, 7, 15, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 7, 16, 75078, 432, 1192, 1163, 8477, 25, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 7, 16, 75078, 432, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 432, 595, 75078, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 7, 49, 75078, 220, 16, 1192, 1209, 83193, 49, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 16, 75078, 432, 1192, 1163, 8477, 25, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 16, 595, 75078, 320, 83193, 49, 696, 3883, 512, 7, 83193, 49, 8, 75078, 1819, 83193, 49, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 49, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 49, 696, 3883, 512, 7, 83193, 49, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 49, 1192, 7, 15, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 49, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 83193, 49, 595, 75078, 320, 83193, 49, 8], "tokenizer": "cl100k_base", "tokens_len": 524, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(1 \u2227 R)) \u2227 ((\u00ac1) \u2228 (\u00acR))\n\nOptions:\n((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00ac(1 \u2227 R))\n((\u00ac(1 \u2227 R)) \u2227 (\u00ac1)) \u2228 ((\u00ac(1 \u2227 R)) \u2227 (\u00acR))\n(\u00ac(1 \u2227 R)) \u2227 ((\u00acR) \u2228 (\u00ac1))\n(\u00ac(1 \u2227 R)) \u2227 (0 \u2228 (\u00acR))\n((\u00ac1) \u2228 (\u00acR)) \u2227 ((\u00ac1) \u2228 (\u00acR))\n(\u00acR) \u2227 ((\u00ac1) \u2228 (\u00acR))\n(\u00ac(R \u2227 1)) \u2227 ((\u00ac1) \u2228 (\u00acR))\nChosen: ((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00ac(1 \u2227 R))\n\nOptions:\n((\u00ac1) \u2228 (\u00acR)) \u2227 ((\u00ac1) \u2228 (\u00acR))\n((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00acR)\n((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00ac(R \u2227 1))\n((\u00acR) \u2228 (\u00ac1)) \u2227 (\u00ac(1 \u2227 R))\n(0 \u2228 (\u00acR)) \u2227 (\u00ac(1 \u2227 R))\nChosen: ((\u00acR) \u2228 (\u00ac1)) \u2227 (\u00ac(1 \u2227 R))\n\nOptions:\n(\u00ac(1 \u2227 R)) \u2227 ((\u00acR) \u2228 (\u00ac1))\n((\u00acR) \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 (\u00acR))\n((\u00acR) \u2228 (\u00ac1)) \u2227 (\u00acR)\n((\u00acR) \u2228 (\u00ac1)) \u2227 (\u00ac(R \u2227 1))\n((\u00acR) \u2228 0) \u2227 (\u00ac(1 \u2227 R))\nChosen: ((\u00acR) \u2228 (\u00ac1)) \u2227 (\u00acR)\n\nOptions:\n(\u00acR) \u2227 ((\u00acR) \u2228 (\u00ac1))\n((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00acR)\n((\u00acR) \u2228 0) \u2227 (\u00acR)\nChosen: ((\u00ac1) \u2228 (\u00acR)) \u2227 (\u00acR)\n\nOptions:\n(\u00acR) \u2227 ((\u00ac1) \u2228 (\u00acR))\n(0 \u2228 (\u00acR)) \u2227 (\u00acR)\nChosen: (0 \u2228 (\u00acR)) \u2227 (\u00acR)", "id": 1823}, {"char_len": 1481, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 15, 595, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 320, 36, 75078, 220, 16, 4489, 3883, 512, 1209, 36, 12264, 101, 469, 8, 75078, 320, 36, 75078, 220, 16, 595, 75078, 320, 83193, 7, 83193, 15, 1192, 1209, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 36, 75078, 220, 16, 340, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 36, 75078, 220, 16, 8, 75078, 320, 36, 12264, 101, 469, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 11861, 36, 12264, 101, 469, 8, 75078, 469, 8, 75078, 220, 16, 340, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 469, 340, 7, 83193, 7, 83193, 15, 595, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 320, 16, 75078, 469, 1192, 7, 83193, 7, 83193, 15, 595, 75078, 320, 36, 75078, 320, 36, 75078, 220, 16, 1192, 15, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 320, 36, 75078, 220, 16, 1192, 7, 83193, 16, 8, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 320, 36, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 36, 75078, 220, 16, 696, 3883, 512, 10953, 75078, 220, 16, 8, 75078, 1819, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 1192, 6774, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 8, 75078, 220, 16, 198, 1209, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 198, 1209, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 16, 75078, 469, 340, 1209, 36, 12264, 101, 469, 8, 75078, 320, 83193, 7, 83193, 15, 7861, 75078, 320, 36, 75078, 220, 16, 340, 6774, 83193, 7, 83193, 15, 595, 75078, 469, 8, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 75078, 469, 595, 75078, 320, 36, 75078, 220, 16, 340, 1209, 83193, 7, 83193, 15, 595, 75078, 469, 8, 75078, 320, 36, 75078, 220, 16, 340, 7, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 36, 75078, 220, 16, 340, 1209, 83193, 16, 8, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 36, 75078, 220, 16, 340, 1163, 8477, 25, 11861, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 8, 75078, 220, 16, 271, 3883, 512, 1209, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 198, 16, 75078, 11861, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 340, 10953, 75078, 1819, 83193, 7, 83193, 15, 595, 75078, 320, 36, 12264, 101, 469, 7861, 75078, 220, 16, 198, 1209, 83193, 7, 83193, 15, 595, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 469, 595, 75078, 220, 16, 198, 6774, 36, 12264, 101, 469, 8, 75078, 320, 83193, 7, 83193, 15, 7861, 75078, 469, 8, 75078, 220, 16, 198, 67944, 83193, 7, 83193, 15, 595, 75078, 469, 8, 12264, 101, 1819, 83193, 7, 83193, 15, 595, 75078, 469, 595, 75078, 469, 8, 75078, 220, 16, 198, 6774, 83193, 7, 83193, 15, 595, 75078, 469, 8, 75078, 469, 8, 75078, 220, 16, 198, 1209, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 8, 75078, 220, 16, 198, 6774, 83193, 16, 8, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 8, 75078, 220, 16, 198, 1163, 8477, 25, 1819, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 8, 75078, 220, 16, 271, 3883, 512, 7, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 198, 16, 75078, 1819, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 340, 7, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 320, 36, 75078, 220, 16, 340, 10953, 75078, 320, 15, 75078, 320, 36, 12264, 101, 469, 7861, 75078, 220, 16, 198, 7, 15, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 469, 595, 75078, 220, 16, 198, 7, 15, 75078, 469, 8, 75078, 220, 16, 198, 6774, 36, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 469, 8, 75078, 220, 16, 198, 6774, 15, 75078, 469, 8, 12264, 101, 320, 15, 75078, 469, 595, 75078, 469, 8, 75078, 220, 16, 198, 1209, 15, 75078, 469, 8, 75078, 469, 8, 75078, 220, 16, 198, 1163, 8477, 25, 220, 16, 75078, 1819, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 696, 3883, 512, 7, 15, 75078, 320, 36, 12264, 101, 469, 595, 75078, 469, 198, 7, 16, 75078, 320, 15, 75078, 320, 36, 12264, 101, 469, 7861, 75078, 469, 198, 16, 75078, 320, 36, 75078, 320, 15, 75078, 320, 36, 12264, 101, 469, 6054, 16, 75078, 320, 15, 75078, 1819, 36, 12264, 101, 469, 8, 75078, 469, 1192, 16, 75078, 320, 15, 75078, 469, 340, 16, 75078, 11861, 36, 12264, 101, 469, 8, 75078, 220, 15, 8, 75078, 469, 340, 16, 75078, 11861, 15, 75078, 469, 8, 12264, 101, 320, 15, 75078, 469, 595, 75078, 469, 340, 16, 75078, 1819, 15, 75078, 469, 8, 75078, 469, 340, 1163, 8477, 25, 220, 16, 75078, 320, 15, 75078, 469, 8], "tokenizer": "cl100k_base", "tokens_len": 881, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac0)) \u2227 ((E \u2228 E) \u2227 (E \u2227 1))\n\nOptions:\n((E \u2228 E) \u2227 (E \u2227 1)) \u2227 (\u00ac(\u00ac0))\n((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 (E \u2227 1)\n(\u00ac(\u00ac0)) \u2227 ((E \u2227 1) \u2227 (E \u2228 E))\n(\u00ac(\u00ac0)) \u2227 (((E \u2228 E) \u2227 E) \u2227 1)\n(\u00ac(\u00ac0)) \u2227 ((E \u2228 E) \u2227 E)\n(\u00ac(\u00ac0)) \u2227 ((E \u2228 E) \u2227 (1 \u2227 E))\n(\u00ac(\u00ac0)) \u2227 (E \u2227 (E \u2227 1))\n0 \u2227 ((E \u2228 E) \u2227 (E \u2227 1))\n(\u00ac1) \u2227 ((E \u2228 E) \u2227 (E \u2227 1))\nChosen: ((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 (E \u2227 1)\n\nOptions:\n(E \u2227 1) \u2227 ((\u00ac(\u00ac0)) \u2227 (E \u2228 E))\n(((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 E) \u2227 1\n((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 E\n((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 (1 \u2227 E)\n((E \u2228 E) \u2227 (\u00ac(\u00ac0))) \u2227 (E \u2227 1)\n(((\u00ac(\u00ac0)) \u2227 E) \u2228 ((\u00ac(\u00ac0)) \u2227 E)) \u2227 (E \u2227 1)\n((\u00ac(\u00ac0)) \u2227 E) \u2227 (E \u2227 1)\n(0 \u2227 (E \u2228 E)) \u2227 (E \u2227 1)\n((\u00ac1) \u2227 (E \u2228 E)) \u2227 (E \u2227 1)\nChosen: (((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 E) \u2227 1\n\nOptions:\n((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 E\n1 \u2227 (((\u00ac(\u00ac0)) \u2227 (E \u2228 E)) \u2227 E)\n(E \u2227 ((\u00ac(\u00ac0)) \u2227 (E \u2228 E))) \u2227 1\n((\u00ac(\u00ac0)) \u2227 ((E \u2228 E) \u2227 E)) \u2227 1\n(((E \u2228 E) \u2227 (\u00ac(\u00ac0))) \u2227 E) \u2227 1\n((((\u00ac(\u00ac0)) \u2227 E) \u2228 ((\u00ac(\u00ac0)) \u2227 E)) \u2227 E) \u2227 1\n(((\u00ac(\u00ac0)) \u2227 E) \u2227 E) \u2227 1\n((0 \u2227 (E \u2228 E)) \u2227 E) \u2227 1\n(((\u00ac1) \u2227 (E \u2228 E)) \u2227 E) \u2227 1\nChosen: ((0 \u2227 (E \u2228 E)) \u2227 E) \u2227 1\n\nOptions:\n(0 \u2227 (E \u2228 E)) \u2227 E\n1 \u2227 ((0 \u2227 (E \u2228 E)) \u2227 E)\n(0 \u2227 (E \u2228 E)) \u2227 (E \u2227 1)\n(E \u2227 (0 \u2227 (E \u2228 E))) \u2227 1\n(0 \u2227 ((E \u2228 E) \u2227 E)) \u2227 1\n(0 \u2227 E) \u2227 1\n(((E \u2228 E) \u2227 0) \u2227 E) \u2227 1\n(((0 \u2227 E) \u2228 (0 \u2227 E)) \u2227 E) \u2227 1\n((0 \u2227 E) \u2227 E) \u2227 1\nChosen: 1 \u2227 ((0 \u2227 (E \u2228 E)) \u2227 E)\n\nOptions:\n(0 \u2227 (E \u2228 E)) \u2227 E\n(1 \u2227 (0 \u2227 (E \u2228 E))) \u2227 E\n1 \u2227 (E \u2227 (0 \u2227 (E \u2228 E)))\n1 \u2227 (0 \u2227 ((E \u2228 E) \u2227 E))\n1 \u2227 (0 \u2227 E)\n1 \u2227 (((E \u2228 E) \u2227 0) \u2227 E)\n1 \u2227 (((0 \u2227 E) \u2228 (0 \u2227 E)) \u2227 E)\n1 \u2227 ((0 \u2227 E) \u2227 E)\nChosen: 1 \u2227 (0 \u2227 E)", "id": 1824}, {"char_len": 2351, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 4489, 3883, 512, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 1192, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 6054, 6774, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 11861, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 15, 12264, 101, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 83193, 44, 8, 75078, 320, 44, 12264, 101, 1901, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 57, 12264, 101, 386, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 75078, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 1192, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 6054, 6774, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 15, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 83193, 44, 8, 75078, 320, 44, 12264, 101, 1901, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1209, 57, 12264, 101, 386, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 1163, 8477, 25, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 1192, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 6054, 6774, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 16, 75078, 220, 15, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 340, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 44, 8, 75078, 320, 44, 12264, 101, 1901, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 57, 12264, 101, 386, 8, 75078, 320, 83193, 44, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 44, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 19789, 3883, 512, 1209, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 7861, 75078, 320, 44, 12264, 101, 1901, 340, 3269, 12264, 101, 1901, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 44, 1192, 3269, 12264, 101, 1901, 8, 75078, 11861, 83193, 44, 8, 75078, 320, 83193, 16, 595, 12264, 101, 1819, 83193, 44, 8, 75078, 320, 16, 75078, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 16, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 15, 75078, 220, 16, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 320, 15, 12264, 101, 320, 16, 75078, 220, 15, 6054, 28955, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 6054, 1163, 8477, 25, 320, 44, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 19789, 3883, 512, 1209, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 7861, 75078, 320, 44, 12264, 101, 1901, 340, 1209, 44, 12264, 101, 1901, 8, 75078, 320, 83193, 44, 595, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 3269, 12264, 101, 1901, 8, 75078, 52200, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 44, 1192, 3269, 12264, 101, 1901, 8, 75078, 11861, 83193, 44, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 1192, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 52200, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 16, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 320, 83193, 16, 23631, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 320, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 16, 12264, 101, 320, 83193, 16, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 6054, 3269, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 1819, 15, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 6054, 28955, 12264, 101, 386, 8, 75078, 1819, 83193, 44, 8, 75078, 11861, 83193, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 6054, 1163, 8477, 25, 320, 44, 12264, 101, 1901, 8, 75078, 1819, 83193, 44, 8, 75078, 320, 16, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 15, 7861], "tokenizer": "cl100k_base", "tokens_len": 1473, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((0 \u2227 1) \u2228 (\u00ac1))\n\nOptions:\n((0 \u2227 1) \u2228 (\u00ac1)) \u2227 ((M \u2228 Z) \u2227 (\u00acM))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((0 \u2227 1) \u2228 (\u00ac1)))\n(((M \u2228 Z) \u2227 (\u00acM)) \u2227 (0 \u2227 1)) \u2228 (((M \u2228 Z) \u2227 (\u00acM)) \u2227 (\u00ac1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (0 \u2227 1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((0 \u2227 1) \u2228 0)\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (0 \u2228 (\u00ac1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((1 \u2227 0) \u2228 (\u00ac1))\n((\u00acM) \u2227 (M \u2228 Z)) \u2227 ((0 \u2227 1) \u2228 (\u00ac1))\n((Z \u2228 M) \u2227 (\u00acM)) \u2227 ((0 \u2227 1) \u2228 (\u00ac1))\nChosen: ((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (0 \u2227 1))\n\nOptions:\n((\u00ac1) \u2228 (0 \u2227 1)) \u2227 ((M \u2228 Z) \u2227 (\u00acM))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 (0 \u2227 1)))\n(((M \u2228 Z) \u2227 (\u00acM)) \u2227 (\u00ac1)) \u2228 (((M \u2228 Z) \u2227 (\u00acM)) \u2227 (0 \u2227 1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 0)\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (1 \u2227 0))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (0 \u2228 (0 \u2227 1))\n((\u00acM) \u2227 (M \u2228 Z)) \u2227 ((\u00ac1) \u2228 (0 \u2227 1))\n((Z \u2228 M) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (0 \u2227 1))\nChosen: ((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (1 \u2227 0))\n\nOptions:\n((\u00ac1) \u2228 (1 \u2227 0)) \u2227 ((M \u2228 Z) \u2227 (\u00acM))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 (1 \u2227 0)))\n(((M \u2228 Z) \u2227 (\u00acM)) \u2227 (\u00ac1)) \u2228 (((M \u2228 Z) \u2227 (\u00acM)) \u2227 (1 \u2227 0))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((1 \u2227 0) \u2228 (\u00ac1))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0))\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 0)\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (0 \u2228 (1 \u2227 0))\n((\u00acM) \u2227 (M \u2228 Z)) \u2227 ((\u00ac1) \u2228 (1 \u2227 0))\n((Z \u2228 M) \u2227 (\u00acM)) \u2227 ((\u00ac1) \u2228 (1 \u2227 0))\nChosen: (M \u2228 Z) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 (1 \u2227 0)))\n\nOptions:\n((\u00acM) \u2227 ((\u00ac1) \u2228 (1 \u2227 0))) \u2227 (M \u2228 Z)\n(M \u2228 Z) \u2227 (((\u00ac1) \u2228 (1 \u2227 0)) \u2227 (\u00acM))\n(M \u2228 Z) \u2227 (((\u00acM) \u2227 (\u00ac1)) \u2228 ((\u00acM) \u2227 (1 \u2227 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((1 \u2227 0) \u2228 (\u00ac1)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 0))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 (0 \u2227 1)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (0 \u2228 (1 \u2227 0)))\n(Z \u2228 M) \u2227 ((\u00acM) \u2227 ((\u00ac1) \u2228 (1 \u2227 0)))\nChosen: (M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0)))\n\nOptions:\n((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0))) \u2227 (M \u2228 Z)\n((M \u2228 Z) \u2227 (\u00acM)) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0))\n(M \u2228 Z) \u2227 ((((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0)) \u2227 (\u00acM))\n(M \u2228 Z) \u2227 (((\u00acM) \u2227 ((\u00ac1) \u2228 1)) \u2227 ((\u00ac1) \u2228 0))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 0) \u2227 ((\u00ac1) \u2228 1)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((((\u00ac1) \u2228 1) \u2227 (\u00ac1)) \u2228 (((\u00ac1) \u2228 1) \u2227 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 (\u00ac1)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 (0 \u2228 (\u00ac1))))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 (0 \u2228 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 (1 \u2227 ((\u00ac1) \u2228 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((1 \u2228 (\u00ac1)) \u2227 ((\u00ac1) \u2228 0)))\n(M \u2228 Z) \u2227 ((\u00acM) \u2227 ((0 \u2228 1) \u2227 ((\u00ac1) \u2228 0)))\n(Z \u2228 M) \u2227 ((\u00acM) \u2227 (((\u00ac1) \u2228 1) \u2227 ((\u00ac1) \u2228 0)))\nChosen: (M \u2228 Z) \u2227 ((\u00acM) \u2227 (1 \u2227 ((\u00ac1) \u2228 0)))", "id": 1825}, {"char_len": 183, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 52, 75078, 549, 4489, 3883, 512, 52, 75078, 549, 198, 83193, 1209, 83193, 52, 8, 12264, 101, 320, 83193, 52, 1192, 83193, 7, 83193, 52, 340, 1163, 8477, 25, 97265, 7, 83193, 52, 696, 3883, 512, 52, 198, 1163, 8477, 25, 549], "tokenizer": "cl100k_base", "tokens_len": 64, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(U \u2227 U))\n\nOptions:\nU \u2227 U\n\u00ac((\u00acU) \u2228 (\u00acU))\n\u00ac(\u00acU)\nChosen: \u00ac(\u00acU)\n\nOptions:\nU\nChosen: U", "id": 1826}, {"char_len": 2039, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 4489, 3883, 512, 1209, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 595, 75078, 1819, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 1192, 12597, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 6054, 6774, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 320, 83193, 56, 595, 12264, 101, 11861, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 320, 52, 75078, 549, 1192, 1209, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 1819, 52, 75078, 549, 8, 12264, 101, 320, 83193, 56, 1192, 1209, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 1192, 1209, 52, 75078, 816, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 340, 1209, 52, 12264, 101, 549, 8, 75078, 320, 52, 75078, 816, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 1192, 12597, 75078, 320, 56, 75078, 320, 52, 12264, 101, 549, 7861, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 1192, 6774, 52, 75078, 816, 8, 75078, 549, 8, 12264, 101, 1819, 52, 75078, 816, 8, 75078, 549, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 52, 75078, 816, 8, 75078, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1209, 56, 75078, 549, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 1192, 1163, 8477, 25, 320, 52, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 19789, 3883, 512, 1209, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 7861, 75078, 320, 52, 75078, 816, 340, 52, 75078, 320, 56, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 23631, 12597, 75078, 816, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 595, 75078, 320, 52, 12264, 101, 549, 1192, 12597, 75078, 816, 8, 75078, 11861, 52, 12264, 101, 549, 8, 75078, 320, 83193, 56, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 75078, 320, 52, 75078, 549, 6054, 12597, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 52, 75078, 549, 8, 12264, 101, 320, 83193, 56, 6054, 12597, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 6054, 12597, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 1192, 12597, 75078, 816, 8, 75078, 320, 52, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 6054, 20818, 75078, 549, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 6054, 1163, 8477, 25, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 7861, 75078, 320, 52, 75078, 816, 696, 3883, 512, 6774, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 7861, 75078, 549, 8, 75078, 816, 198, 12597, 12264, 101, 549, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 595, 75078, 320, 52, 75078, 816, 1192, 1209, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 7861, 75078, 320, 56, 75078, 549, 340, 6774, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 595, 75078, 320, 52, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 340, 6774, 52, 12264, 101, 549, 8, 75078, 320, 83193, 56, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 75078, 320, 52, 75078, 549, 7861, 75078, 320, 52, 75078, 816, 340, 1209, 52, 12264, 101, 549, 8, 75078, 1819, 52, 75078, 549, 8, 12264, 101, 320, 83193, 56, 7861, 75078, 320, 52, 75078, 816, 340, 1209, 52, 12264, 101, 549, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 7861, 75078, 320, 52, 75078, 816, 340, 1209, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 340, 12597, 75078, 1819, 83193, 56, 8, 12264, 101, 320, 52, 75078, 549, 7861, 75078, 320, 52, 75078, 816, 340, 1163, 8477, 25, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 696, 3883, 512, 12597, 75078, 816, 8, 75078, 1819, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 1192, 6774, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 549, 8, 75078, 816, 198, 12597, 12264, 101, 549, 8, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 320, 52, 75078, 816, 1192, 1209, 52, 12264, 101, 549, 8, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 56, 75078, 549, 340, 6774, 83193, 56, 8, 12264, 101, 549, 8, 75078, 320, 52, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 340, 6774, 52, 12264, 101, 549, 8, 75078, 320, 83193, 56, 595, 12264, 101, 1819, 52, 12264, 101, 549, 8, 75078, 549, 595, 75078, 320, 52, 75078, 816, 340, 1209, 52, 12264, 101, 549, 8, 75078, 320, 52, 12264, 101, 320, 83193, 56, 7861, 75078, 320, 52, 75078, 816, 340, 12597, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 340, 1163, 8477, 25, 320, 52, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 52, 75078, 816, 696, 3883, 512, 12597, 75078, 816, 8, 75078, 320, 52, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 1192, 1209, 52, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 549, 8, 75078, 816, 198, 52, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 320, 52, 75078, 816, 1192, 12597, 75078, 1819, 83193, 56, 8, 12264, 101, 549, 595, 75078, 320, 56, 75078, 549, 340, 6774, 83193, 56, 8, 12264, 101, 549, 8, 75078, 549, 8, 75078, 320, 52, 75078, 816, 340, 1209, 52, 75078, 320, 83193, 56, 595, 12264, 101, 320, 52, 75078, 549, 595, 75078, 320, 52, 75078, 816, 340, 12597, 75078, 320, 52, 12264, 101, 320, 83193, 56, 7861, 75078, 320, 52, 75078, 816, 340, 1163, 8477, 25, 549, 75078, 11861, 83193, 56, 8, 12264, 101, 549, 8, 75078, 320, 52, 75078, 816, 595], "tokenizer": "cl100k_base", "tokens_len": 1169, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 ((\u00acY) \u2228 (U \u2227 U))\n\nOptions:\n((\u00acY) \u2228 (U \u2227 U)) \u2227 ((U \u2227 Y) \u2227 (U \u2228 U))\n(U \u2227 Y) \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U)))\n(((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 (\u00acY)) \u2228 (((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 (U \u2227 U))\n((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 ((U \u2227 U) \u2228 (\u00acY))\n((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 (((\u00acY) \u2228 U) \u2227 ((\u00acY) \u2228 U))\n((U \u2227 Y) \u2227 (U \u2228 U)) \u2227 ((\u00acY) \u2228 U)\n((U \u2228 U) \u2227 (U \u2227 Y)) \u2227 ((\u00acY) \u2228 (U \u2227 U))\n(U \u2227 (Y \u2227 (U \u2228 U))) \u2227 ((\u00acY) \u2228 (U \u2227 U))\n(((U \u2227 Y) \u2227 U) \u2228 ((U \u2227 Y) \u2227 U)) \u2227 ((\u00acY) \u2228 (U \u2227 U))\n((U \u2227 Y) \u2227 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))\n((Y \u2227 U) \u2227 (U \u2228 U)) \u2227 ((\u00acY) \u2228 (U \u2227 U))\nChosen: (U \u2227 Y) \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U)))\n\nOptions:\n((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))) \u2227 (U \u2227 Y)\nU \u2227 (Y \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))))\n(U \u2227 Y) \u2227 (((\u00acY) \u2228 (U \u2227 U)) \u2227 (U \u2228 U))\n(U \u2227 Y) \u2227 (((U \u2228 U) \u2227 (\u00acY)) \u2228 ((U \u2228 U) \u2227 (U \u2227 U)))\n(U \u2227 Y) \u2227 ((U \u2228 U) \u2227 ((U \u2227 U) \u2228 (\u00acY)))\n(U \u2227 Y) \u2227 ((U \u2228 U) \u2227 (((\u00acY) \u2228 U) \u2227 ((\u00acY) \u2228 U)))\n(U \u2227 Y) \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 U))\n(U \u2227 Y) \u2227 (U \u2227 ((\u00acY) \u2228 (U \u2227 U)))\n(Y \u2227 U) \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U)))\nChosen: ((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))) \u2227 (U \u2227 Y)\n\nOptions:\n(((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))) \u2227 U) \u2227 Y\n(U \u2228 U) \u2227 (((\u00acY) \u2228 (U \u2227 U)) \u2227 (U \u2227 Y))\n((U \u2228 U) \u2227 ((\u00acY) \u2228 (U \u2227 U))) \u2227 (Y \u2227 U)\n(((\u00acY) \u2228 (U \u2227 U)) \u2227 (U \u2228 U)) \u2227 (U \u2227 Y)\n(((U \u2228 U) \u2227 (\u00acY)) \u2228 ((U \u2228 U) \u2227 (U \u2227 U))) \u2227 (U \u2227 Y)\n((U \u2228 U) \u2227 ((U \u2227 U) \u2228 (\u00acY))) \u2227 (U \u2227 Y)\n((U \u2228 U) \u2227 (((\u00acY) \u2228 U) \u2227 ((\u00acY) \u2228 U))) \u2227 (U \u2227 Y)\n((U \u2228 U) \u2227 ((\u00acY) \u2228 U)) \u2227 (U \u2227 Y)\n(U \u2227 ((\u00acY) \u2228 (U \u2227 U))) \u2227 (U \u2227 Y)\nChosen: ((U \u2228 U) \u2227 ((\u00acY) \u2228 U)) \u2227 (U \u2227 Y)\n\nOptions:\n(U \u2227 Y) \u2227 ((U \u2228 U) \u2227 ((\u00acY) \u2228 U))\n(((U \u2228 U) \u2227 ((\u00acY) \u2228 U)) \u2227 U) \u2227 Y\n(U \u2228 U) \u2227 (((\u00acY) \u2228 U) \u2227 (U \u2227 Y))\n((U \u2228 U) \u2227 ((\u00acY) \u2228 U)) \u2227 (Y \u2227 U)\n(((\u00acY) \u2228 U) \u2227 (U \u2228 U)) \u2227 (U \u2227 Y)\n(((U \u2228 U) \u2227 (\u00acY)) \u2228 ((U \u2228 U) \u2227 U)) \u2227 (U \u2227 Y)\n((U \u2228 U) \u2227 (U \u2228 (\u00acY))) \u2227 (U \u2227 Y)\n(U \u2227 ((\u00acY) \u2228 U)) \u2227 (U \u2227 Y)\nChosen: (U \u2227 ((\u00acY) \u2228 U)) \u2227 (U \u2227 Y)\n\nOptions:\n(U \u2227 Y) \u2227 (U \u2227 ((\u00acY) \u2228 U))\n((U \u2227 ((\u00acY) \u2228 U)) \u2227 U) \u2227 Y\nU \u2227 (((\u00acY) \u2228 U) \u2227 (U \u2227 Y))\n(U \u2227 ((\u00acY) \u2228 U)) \u2227 (Y \u2227 U)\n(((\u00acY) \u2228 U) \u2227 U) \u2227 (U \u2227 Y)\n((U \u2227 (\u00acY)) \u2228 (U \u2227 U)) \u2227 (U \u2227 Y)\n(U \u2227 (U \u2228 (\u00acY))) \u2227 (U \u2227 Y)\nChosen: U \u2227 (((\u00acY) \u2228 U) \u2227 (U \u2227 Y))", "id": 1827}, {"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": 1828}, {"char_len": 671, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 39, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 15, 595, 75078, 320, 83193, 7, 44, 75078, 220, 16, 1192, 83193, 1209, 44, 75078, 220, 16, 8, 12264, 101, 320, 39, 75078, 220, 15, 1192, 83193, 6774, 39, 75078, 220, 15, 8, 12264, 101, 386, 8, 75078, 1819, 39, 75078, 220, 15, 8, 12264, 101, 220, 16, 1192, 83193, 1209, 39, 75078, 220, 15, 8, 12264, 101, 386, 340, 83193, 1209, 39, 75078, 220, 15, 8, 12264, 101, 320, 16, 75078, 386, 1192, 83193, 7, 15, 12264, 101, 320, 44, 75078, 220, 16, 1192, 83193, 1209, 15, 75078, 473, 8, 12264, 101, 320, 44, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 1209, 15, 75078, 473, 8, 12264, 101, 320, 44, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 473, 595, 75078, 320, 83193, 7, 44, 75078, 220, 16, 1192, 83193, 1209, 44, 75078, 220, 16, 8, 12264, 101, 320, 15, 75078, 473, 1192, 83193, 6774, 15, 75078, 473, 8, 12264, 101, 386, 8, 75078, 1819, 15, 75078, 473, 8, 12264, 101, 220, 16, 1192, 83193, 1209, 15, 75078, 473, 8, 12264, 101, 386, 340, 83193, 1209, 15, 75078, 473, 8, 12264, 101, 320, 16, 75078, 386, 1192, 83193, 7, 15, 12264, 101, 320, 44, 75078, 220, 16, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 320, 44, 75078, 220, 16, 4489, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 7, 44, 75078, 220, 16, 1192, 83193, 7, 44, 75078, 220, 16, 340, 83193, 1209, 44, 75078, 220, 16, 8, 12264, 101, 220, 15, 340, 83193, 1209, 15, 12264, 101, 386, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 83193, 7, 15, 12264, 101, 386, 340, 83193, 7, 15, 12264, 101, 320, 16, 75078, 386, 1192, 1163, 8477, 25, 97265, 7, 15, 12264, 101, 386, 696, 3883, 512, 7, 83193, 15, 8, 75078, 320, 83193, 44, 340, 83193, 44, 198, 83193, 7, 44, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 44, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 44, 8, 75078, 320, 83193, 15, 340, 83193, 44, 198, 1163, 8477, 25, 97265, 44], "tokenizer": "cl100k_base", "tokens_len": 386, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((H \u2227 0) \u2228 (M \u2227 1))\n\nOptions:\n(\u00ac(H \u2227 0)) \u2227 (\u00ac(M \u2227 1))\n\u00ac((M \u2227 1) \u2228 (H \u2227 0))\n\u00ac(((H \u2227 0) \u2228 M) \u2227 ((H \u2227 0) \u2228 1))\n\u00ac((H \u2227 0) \u2228 M)\n\u00ac((H \u2227 0) \u2228 (1 \u2227 M))\n\u00ac(0 \u2228 (M \u2227 1))\n\u00ac((0 \u2227 H) \u2228 (M \u2227 1))\nChosen: \u00ac((0 \u2227 H) \u2228 (M \u2227 1))\n\nOptions:\n(\u00ac(0 \u2227 H)) \u2227 (\u00ac(M \u2227 1))\n\u00ac((M \u2227 1) \u2228 (0 \u2227 H))\n\u00ac(((0 \u2227 H) \u2228 M) \u2227 ((0 \u2227 H) \u2228 1))\n\u00ac((0 \u2227 H) \u2228 M)\n\u00ac((0 \u2227 H) \u2228 (1 \u2227 M))\n\u00ac(0 \u2228 (M \u2227 1))\nChosen: \u00ac(0 \u2228 (M \u2227 1))\n\nOptions:\n(\u00ac0) \u2227 (\u00ac(M \u2227 1))\n\u00ac(M \u2227 1)\n\u00ac((M \u2227 1) \u2228 0)\n\u00ac((0 \u2228 M) \u2227 (0 \u2228 1))\n\u00ac(0 \u2228 M)\n\u00ac(0 \u2228 (1 \u2227 M))\nChosen: \u00ac(0 \u2228 M)\n\nOptions:\n(\u00ac0) \u2227 (\u00acM)\n\u00acM\n\u00ac(M \u2228 0)\nChosen: \u00ac(M \u2228 0)\n\nOptions:\n(\u00acM) \u2227 (\u00ac0)\n\u00acM\nChosen: \u00acM", "id": 1829}, {"char_len": 3077, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 51, 8, 75078, 320, 43, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 51, 8, 75078, 320, 43, 12264, 101, 220, 15, 1192, 7, 83193, 51, 8, 75078, 1819, 43, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 6054, 1209, 83193, 51, 8, 75078, 320, 43, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 51, 8, 75078, 320, 43, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 51, 8, 75078, 320, 43, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 1209, 43, 12264, 101, 220, 15, 8, 75078, 320, 83193, 51, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 51, 8, 75078, 445, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 83193, 51, 8, 75078, 320, 15, 12264, 101, 445, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 16, 75078, 220, 15, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 15, 340, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 15, 75078, 220, 16, 1192, 6774, 83193, 51, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 445, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 15, 75078, 320, 83193, 51, 7861, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1209, 43, 75078, 320, 83193, 51, 595, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 7, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 1192, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 16, 595, 12264, 101, 52200, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 83193, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 320, 15, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 51, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 51, 8, 75078, 445, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 15, 75078, 320, 83193, 51, 7861, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 43, 75078, 320, 83193, 51, 595, 12264, 101, 1819, 83193, 51, 8, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 52200, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 52200, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 1192, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 52200, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 12264, 101, 320, 83193, 15, 6054, 1209, 6774, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 16, 595, 12264, 101, 11861, 1209, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 1192, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 16, 1192, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 320, 83193, 51, 595, 75078, 11861, 83193, 51, 8, 75078, 445, 8, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 12264, 101, 220, 16, 340, 67944, 83193, 51, 8, 75078, 445, 8, 12264, 101, 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Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acT) \u2227 (L \u2228 0)) \u2227 (\u00ac(1 \u2227 0))\n\nOptions:\n(\u00ac(1 \u2227 0)) \u2227 ((\u00acT) \u2227 (L \u2228 0))\n(\u00acT) \u2227 ((L \u2228 0) \u2227 (\u00ac(1 \u2227 0)))\n((\u00acT) \u2227 (L \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((\u00acT) \u2227 (L \u2228 0)) \u2227 (\u00ac0)\n((\u00acT) \u2227 (L \u2228 0)) \u2227 (\u00ac(0 \u2227 1))\n((L \u2228 0) \u2227 (\u00acT)) \u2227 (\u00ac(1 \u2227 0))\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac(1 \u2227 0))\n((\u00acT) \u2227 L) \u2227 (\u00ac(1 \u2227 0))\n((\u00acT) \u2227 (0 \u2228 L)) \u2227 (\u00ac(1 \u2227 0))\nChosen: (((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac(1 \u2227 0))\n\nOptions:\n(\u00ac(1 \u2227 0)) \u2227 (((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0))\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac0)\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac(0 \u2227 1))\n(((\u00acT) \u2227 0) \u2228 ((\u00acT) \u2227 L)) \u2227 (\u00ac(1 \u2227 0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 (\u00ac(1 \u2227 0))\n(((\u00acT) \u2227 L) \u2228 0) \u2227 (\u00ac(1 \u2227 0))\n(((\u00acT) \u2227 L) \u2228 (0 \u2227 (\u00acT))) \u2227 (\u00ac(1 \u2227 0))\n((L \u2227 (\u00acT)) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac(1 \u2227 0))\nChosen: (((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac0)) \u2227 (((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0))\n((((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac1)) \u2228 ((((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (\u00ac0))\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 ((\u00ac1) \u2228 1)\n(((\u00acT) \u2227 L) \u2228 ((\u00acT) \u2227 0)) \u2227 (0 \u2228 (\u00ac0))\n(((\u00acT) \u2227 0) \u2228 ((\u00acT) \u2227 L)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((\u00acT) \u2227 L) \u2228 0) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((\u00acT) \u2227 L) \u2228 (0 \u2227 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((L \u2227 (\u00acT)) \u2228 ((\u00acT) \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\nChosen: ((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac0)) \u2227 ((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0))\n(((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 ((((\u00acT) \u2227 L) \u2228 0) \u2227 ((\u00ac1) \u2228 (\u00ac0)))\n(((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 (\u00ac1)) \u2228 (((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac1) \u2228 1)\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 (0 \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 ((\u00acT) \u2227 L)) \u2228 ((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 ((\u00acT) \u2227 L)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 (0 \u2228 ((\u00acT) \u2227 L))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 ((L \u2227 (\u00acT)) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((\u00acT) \u2228 ((\u00acT) \u2227 L)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((L \u2227 (\u00acT)) \u2228 (\u00acT)) \u2227 (((\u00acT) \u2227 L) \u2228 0)) \u2227 ((\u00ac1) \u2228 (\u00ac0))\nChosen: ((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n\nOptions:\n((\u00ac1) \u2228 (\u00ac0)) \u2227 ((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT)))\n(((\u00acT) \u2227 L) \u2228 0) \u2227 ((((\u00acT) \u2227 L) \u2228 (\u00acT)) \u2227 ((\u00ac1) \u2228 (\u00ac0)))\n(((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 (\u00ac1)) \u2228 (((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac0) \u2228 (\u00ac1))\n((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 1)\n((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 (0 \u2228 (\u00ac0))\n(((((\u00acT) \u2227 L) \u2228 0) \u2227 ((\u00acT) \u2227 L)) \u2228 ((((\u00acT) \u2227 L) \u2228 0) \u2227 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 0) \u2227 ((\u00acT) \u2228 ((\u00acT) \u2227 L))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((((\u00acT) \u2227 L) \u2228 0) \u2227 ((L \u2227 (\u00acT)) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((\u00acT) \u2227 L) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n((0 \u2228 ((\u00acT) \u2227 L)) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\n(((L \u2227 (\u00acT)) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 ((\u00ac1) \u2228 (\u00ac0))\nChosen: ((((\u00acT) \u2227 L) \u2228 0) \u2227 (((\u00acT) \u2227 L) \u2228 (\u00acT))) \u2227 (0 \u2228 (\u00ac0))", "id": 1830}, {"char_len": 2582, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 15, 12264, 101, 480, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 1819, 15, 75078, 426, 8, 75078, 320, 16, 75078, 426, 4489, 3883, 512, 1209, 15, 75078, 426, 8, 75078, 320, 16, 75078, 426, 595, 75078, 1819, 15, 12264, 101, 480, 8, 12264, 101, 320, 33, 12264, 101, 426, 1192, 6774, 15, 12264, 101, 480, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 320, 15, 75078, 426, 595, 75078, 320, 16, 75078, 426, 340, 1209, 15, 12264, 101, 480, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 1819, 16, 75078, 426, 8, 75078, 320, 15, 75078, 426, 1192, 1209, 15, 12264, 101, 480, 8, 12264, 101, 320, 33, 12264, 101, 426, 595, 75078, 11861, 15, 75078, 426, 8, 75078, 220, 16, 8, 75078, 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8, 75078, 320, 15, 75078, 426, 1192, 5462, 75078, 220, 16, 8, 75078, 11861, 38, 12264, 101, 426, 8, 12264, 101, 426, 8, 75078, 320, 15, 75078, 426, 1192, 1163, 8477, 25, 320, 16, 75078, 426, 8, 75078, 1819, 33, 12264, 101, 320, 38, 12264, 101, 426, 595, 75078, 320, 15, 75078, 426, 595], "tokenizer": "cl100k_base", "tokens_len": 1523, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n\nOptions:\n((0 \u2227 B) \u2227 (1 \u2227 B)) \u2227 ((0 \u2228 G) \u2228 (B \u2228 B))\n(((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 ((1 \u2227 B) \u2227 (0 \u2227 B))\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 (((0 \u2227 B) \u2227 1) \u2227 B)\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 (0 \u2227 (B \u2227 (1 \u2227 B)))\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 B)\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (B \u2227 1))\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 (0 \u2227 (1 \u2227 B))\n((0 \u2228 G) \u2228 (B \u2228 B)) \u2227 ((B \u2227 0) \u2227 (1 \u2227 B))\n((B \u2228 B) \u2228 (0 \u2228 G)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n(((0 \u2228 G) \u2228 B) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n(0 \u2228 (G \u2228 (B \u2228 B))) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n((0 \u2228 G) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n(G \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n((G \u2228 0) \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\nChosen: (G \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n\nOptions:\n((0 \u2227 B) \u2227 (1 \u2227 B)) \u2227 (G \u2228 (B \u2228 B))\n((G \u2228 (B \u2228 B)) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n(G \u2228 (B \u2228 B)) \u2227 ((1 \u2227 B) \u2227 (0 \u2227 B))\n(G \u2228 (B \u2228 B)) \u2227 (((0 \u2227 B) \u2227 1) \u2227 B)\n(G \u2228 (B \u2228 B)) \u2227 (0 \u2227 (B \u2227 (1 \u2227 B)))\n(G \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 B)\n(G \u2228 (B \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (B \u2227 1))\n(G \u2228 (B \u2228 B)) \u2227 (0 \u2227 (1 \u2227 B))\n(G \u2228 (B \u2228 B)) \u2227 ((B \u2227 0) \u2227 (1 \u2227 B))\n((B \u2228 B) \u2228 G) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n((G \u2228 B) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n(G \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\nChosen: ((G \u2228 B) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n\nOptions:\n((0 \u2227 B) \u2227 (1 \u2227 B)) \u2227 ((G \u2228 B) \u2228 B)\n(((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n((G \u2228 B) \u2228 B) \u2227 ((1 \u2227 B) \u2227 (0 \u2227 B))\n((G \u2228 B) \u2228 B) \u2227 (((0 \u2227 B) \u2227 1) \u2227 B)\n((G \u2228 B) \u2228 B) \u2227 (0 \u2227 (B \u2227 (1 \u2227 B)))\n((G \u2228 B) \u2228 B) \u2227 ((0 \u2227 B) \u2227 B)\n((G \u2228 B) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (B \u2227 1))\n((G \u2228 B) \u2228 B) \u2227 (0 \u2227 (1 \u2227 B))\n((G \u2228 B) \u2228 B) \u2227 ((B \u2227 0) \u2227 (1 \u2227 B))\n(B \u2228 (G \u2228 B)) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\n((B \u2228 G) \u2228 B) \u2227 ((0 \u2227 B) \u2227 (1 \u2227 B))\nChosen: (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n\nOptions:\n(1 \u2227 B) \u2227 (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B))\n((((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)) \u2227 1) \u2227 B\n(((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)) \u2227 B\n(((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)) \u2227 (B \u2227 1)\n((0 \u2227 B) \u2227 ((G \u2228 B) \u2228 B)) \u2227 (1 \u2227 B)\n((((G \u2228 B) \u2228 B) \u2227 0) \u2227 B) \u2227 (1 \u2227 B)\n(((G \u2228 B) \u2228 B) \u2227 0) \u2227 (1 \u2227 B)\n(((G \u2228 B) \u2228 B) \u2227 (B \u2227 0)) \u2227 (1 \u2227 B)\n((B \u2228 (G \u2228 B)) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n((G \u2228 (B \u2228 B)) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\n(((B \u2228 G) \u2228 B) \u2227 (0 \u2227 B)) \u2227 (1 \u2227 B)\nChosen: (1 \u2227 B) \u2227 (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B))\n\nOptions:\n((1 \u2227 B) \u2227 ((G \u2228 B) \u2228 B)) \u2227 (0 \u2227 B)\n1 \u2227 (B \u2227 (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B)))\n(1 \u2227 B) \u2227 ((0 \u2227 B) \u2227 ((G \u2228 B) \u2228 B))\n(1 \u2227 B) \u2227 ((((G \u2228 B) \u2228 B) \u2227 0) \u2227 B)\n(1 \u2227 B) \u2227 (((G \u2228 B) \u2228 B) \u2227 0)\n(1 \u2227 B) \u2227 (((G \u2228 B) \u2228 B) \u2227 (B \u2227 0))\n(1 \u2227 B) \u2227 ((B \u2228 (G \u2228 B)) \u2227 (0 \u2227 B))\n(1 \u2227 B) \u2227 ((G \u2228 (B \u2228 B)) \u2227 (0 \u2227 B))\n(1 \u2227 B) \u2227 (((B \u2228 G) \u2228 B) \u2227 (0 \u2227 B))\nB \u2227 (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B))\n(B \u2227 1) \u2227 (((G \u2228 B) \u2228 B) \u2227 (0 \u2227 B))\nChosen: (1 \u2227 B) \u2227 ((B \u2228 (G \u2228 B)) \u2227 (0 \u2227 B))", "id": 1831}, {"char_len": 1646, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 595, 75078, 1819, 46, 75078, 393, 8, 75078, 320, 16, 75078, 507, 4489, 3883, 512, 1209, 46, 75078, 393, 8, 75078, 320, 16, 75078, 507, 595, 75078, 1819, 83193, 47, 8, 12264, 101, 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1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 4489, 3883, 512, 1209, 83193, 47, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 46, 75078, 320, 46, 75078, 393, 1192, 46, 75078, 1819, 46, 75078, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 6054, 1209, 46, 75078, 320, 46, 75078, 393, 595, 75078, 320, 83193, 47, 595, 12264, 101, 1819, 46, 75078, 320, 46, 75078, 393, 595, 75078, 320, 83193, 47, 1192, 1209, 46, 75078, 393, 8, 75078, 507, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 1192, 1209, 46, 75078, 507, 8, 75078, 393, 8, 75078, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 1192, 1163, 8477, 25, 1819, 83193, 47, 8, 12264, 101, 320, 83193, 47, 595, 75078, 320, 46, 75078, 320, 46, 75078, 393, 595], "tokenizer": "cl100k_base", "tokens_len": 932, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acP) \u2228 (\u00acP)) \u2227 ((O \u2227 P) \u2227 (1 \u2227 O))\n\nOptions:\n((O \u2227 P) \u2227 (1 \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\n(((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 P)) \u2227 (1 \u2227 O)\n((\u00acP) \u2228 (\u00acP)) \u2227 ((1 \u2227 O) \u2227 (O \u2227 P))\n((\u00acP) \u2228 (\u00acP)) \u2227 (((O \u2227 P) \u2227 1) \u2227 O)\n((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 (P \u2227 (1 \u2227 O)))\n((\u00acP) \u2228 (\u00acP)) \u2227 ((O \u2227 P) \u2227 O)\n((\u00acP) \u2228 (\u00acP)) \u2227 ((O \u2227 P) \u2227 (O \u2227 1))\n((\u00acP) \u2228 (\u00acP)) \u2227 ((P \u2227 O) \u2227 (1 \u2227 O))\nChosen: ((O \u2227 P) \u2227 (1 \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\n\nOptions:\n(O \u2227 P) \u2227 ((1 \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP)))\n(((O \u2227 P) \u2227 (1 \u2227 O)) \u2227 (\u00acP)) \u2228 (((O \u2227 P) \u2227 (1 \u2227 O)) \u2227 (\u00acP))\n((1 \u2227 O) \u2227 (O \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acP))\n(((O \u2227 P) \u2227 1) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 (P \u2227 (1 \u2227 O))) \u2227 ((\u00acP) \u2228 (\u00acP))\n((O \u2227 P) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n((O \u2227 P) \u2227 (O \u2227 1)) \u2227 ((\u00acP) \u2228 (\u00acP))\n((P \u2227 O) \u2227 (1 \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\nChosen: (O \u2227 (P \u2227 (1 \u2227 O))) \u2227 ((\u00acP) \u2228 (\u00acP))\n\nOptions:\n((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 (P \u2227 (1 \u2227 O)))\nO \u2227 ((P \u2227 (1 \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP)))\n((O \u2227 (P \u2227 (1 \u2227 O))) \u2227 (\u00acP)) \u2228 ((O \u2227 (P \u2227 (1 \u2227 O))) \u2227 (\u00acP))\n((P \u2227 (1 \u2227 O)) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 ((1 \u2227 O) \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 ((P \u2227 1) \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 (P \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 (P \u2227 (O \u2227 1))) \u2227 ((\u00acP) \u2228 (\u00acP))\nChosen: (O \u2227 (P \u2227 O)) \u2227 ((\u00acP) \u2228 (\u00acP))\n\nOptions:\n((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 (P \u2227 O))\nO \u2227 ((P \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP)))\n((O \u2227 (P \u2227 O)) \u2227 (\u00acP)) \u2228 ((O \u2227 (P \u2227 O)) \u2227 (\u00acP))\n((P \u2227 O) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n((O \u2227 P) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n(O \u2227 (O \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acP))\nChosen: (O \u2227 (O \u2227 P)) \u2227 ((\u00acP) \u2228 (\u00acP))\n\nOptions:\n((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 (O \u2227 P))\nO \u2227 ((O \u2227 P) \u2227 ((\u00acP) \u2228 (\u00acP)))\n((O \u2227 (O \u2227 P)) \u2227 (\u00acP)) \u2228 ((O \u2227 (O \u2227 P)) \u2227 (\u00acP))\n((O \u2227 P) \u2227 O) \u2227 ((\u00acP) \u2228 (\u00acP))\n((O \u2227 O) \u2227 P) \u2227 ((\u00acP) \u2228 (\u00acP))\nChosen: ((\u00acP) \u2228 (\u00acP)) \u2227 (O \u2227 (O \u2227 P))", "id": 1832}, {"char_len": 3404, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 32, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 362, 4489, 3883, 512, 1209, 45, 12264, 101, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 362, 595, 75078, 1819, 32, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 32, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 45, 12264, 101, 220, 15, 595, 12264, 101, 11861, 32, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 32, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 1819, 32, 12264, 101, 362, 8, 12264, 101, 320, 45, 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101, 362, 8, 12264, 101, 220, 16, 8, 75078, 1819, 45, 12264, 101, 320, 15, 12264, 101, 362, 595, 12264, 101, 362, 340, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 320, 32, 12264, 101, 320, 15, 12264, 101, 362, 6054, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 320, 32, 12264, 101, 362, 1192, 6774, 16, 12264, 101, 220, 15, 8, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 32, 12264, 101, 220, 15, 8, 12264, 101, 362, 1192, 16, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 7, 16, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 362, 595, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 32, 12264, 101, 220, 16, 595, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 1209, 32, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 1209, 16, 12264, 101, 320, 15, 12264, 101, 362, 595, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 1209, 16, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 6774, 15, 12264, 101, 220, 16, 8, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 1192, 1163, 8477, 25, 11861, 15, 12264, 101, 220, 16, 8, 12264, 101, 362, 8, 12264, 101, 220, 16, 8, 75078, 320, 45, 12264, 101, 1819, 15, 12264, 101, 362, 8, 12264, 101, 362, 595], "tokenizer": "cl100k_base", "tokens_len": 2428, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n\nOptions:\n((N \u2228 0) \u2228 (A \u2228 A)) \u2227 ((A \u2228 1) \u2228 (1 \u2228 0))\n(((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (N \u2228 0)) \u2228 (((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (A \u2228 A))\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 ((A \u2228 A) \u2228 (N \u2228 0))\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (((N \u2228 0) \u2228 A) \u2228 A)\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2228 A)\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (N \u2228 (A \u2228 A))\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 ((0 \u2228 N) \u2228 (A \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(((A \u2228 1) \u2228 1) \u2228 0) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(A \u2228 (1 \u2228 (1 \u2228 0))) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((A \u2228 1) \u2228 1) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((A \u2228 1) \u2228 (0 \u2228 1)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(1 \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((1 \u2228 A) \u2228 (1 \u2228 0)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\nChosen: ((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n\nOptions:\n((N \u2228 0) \u2228 (A \u2228 A)) \u2227 ((1 \u2228 0) \u2228 (A \u2228 1))\n(((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 0)) \u2228 (((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (A \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((A \u2228 A) \u2228 (N \u2228 0))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (((N \u2228 0) \u2228 A) \u2228 A)\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((N \u2228 0) \u2228 A)\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 (A \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((0 \u2228 N) \u2228 (A \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(1 \u2228 (0 \u2228 (A \u2228 1))) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((1 \u2228 0) \u2228 1) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((1 \u2228 0) \u2228 (1 \u2228 A)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(1 \u2228 (A \u2228 1)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n((0 \u2228 1) \u2228 (A \u2228 1)) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\nChosen: ((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n\nOptions:\n(N \u2228 (0 \u2228 (A \u2228 A))) \u2227 ((1 \u2228 0) \u2228 (A \u2228 1))\n(((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 N) \u2228 (((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (0 \u2228 (A \u2228 A)))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 ((0 \u2228 (A \u2228 A)) \u2228 N)\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 (A \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 ((A \u2228 A) \u2228 0))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 (0 \u2228 A))\n((A \u2228 1) \u2228 (1 \u2228 0)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n(1 \u2228 (0 \u2228 (A \u2228 1))) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((1 \u2228 0) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((1 \u2228 0) \u2228 (1 \u2228 A)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n(1 \u2228 (A \u2228 1)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((0 \u2228 1) \u2228 (A \u2228 1)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\nChosen: (((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n\nOptions:\n(N \u2228 (0 \u2228 (A \u2228 A))) \u2227 (((1 \u2228 0) \u2228 A) \u2228 1)\n((((1 \u2228 0) \u2228 A) \u2228 1) \u2227 N) \u2228 ((((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (0 \u2228 (A \u2228 A)))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 ((0 \u2228 (A \u2228 A)) \u2228 N)\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 ((N \u2228 0) \u2228 (A \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (A \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 ((A \u2228 A) \u2228 0))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (0 \u2228 A))\n1 \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n(1 \u2228 ((1 \u2228 0) \u2228 A)) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((A \u2228 (1 \u2228 0)) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((1 \u2228 (0 \u2228 A)) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n((1 \u2228 A) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\n(((0 \u2228 1) \u2228 A) \u2228 1) \u2227 (N \u2228 (0 \u2228 (A \u2228 A)))\nChosen: (((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n\nOptions:\n(N \u2228 ((0 \u2228 A) \u2228 A)) \u2227 (((1 \u2228 0) \u2228 A) \u2228 1)\n((((1 \u2228 0) \u2228 A) \u2228 1) \u2227 N) \u2228 ((((1 \u2228 0) \u2228 A) \u2228 1) \u2227 ((0 \u2228 A) \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (((0 \u2228 A) \u2228 A) \u2228 N)\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 ((N \u2228 (0 \u2228 A)) \u2228 A)\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (A \u2228 (0 \u2228 A)))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 (A \u2228 A))\n(((1 \u2228 0) \u2228 A) \u2228 1) \u2227 (N \u2228 ((A \u2228 0) \u2228 A))\n1 \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n(1 \u2228 ((1 \u2228 0) \u2228 A)) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n((1 \u2228 0) \u2228 (A \u2228 1)) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n((A \u2228 (1 \u2228 0)) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n((1 \u2228 (0 \u2228 A)) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n((1 \u2228 A) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\n(((0 \u2228 1) \u2228 A) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))\nChosen: (((0 \u2228 1) \u2228 A) \u2228 1) \u2227 (N \u2228 ((0 \u2228 A) \u2228 A))", "id": 1833}, {"char_len": 1292, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 7, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 16, 75078, 220, 15, 6054, 7, 83193, 7, 83193, 16, 595, 75078, 11861, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 15, 75078, 220, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 16, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 15, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 16, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 7, 83193, 16, 1192, 1209, 83193, 7, 83193, 16, 595, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 7, 83193, 16, 595, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 11861, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 83193, 16, 595, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 16, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 15, 8, 75078, 11861, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 75078, 320, 15, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 16, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 75078, 220, 16, 340, 7, 83193, 15, 8, 75078, 220, 16, 198, 7, 83193, 15, 8, 75078, 320, 16, 12264, 101, 320, 16, 75078, 220, 15, 1192, 7, 83193, 15, 8, 75078, 320, 15, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 75078, 1819, 15, 75078, 220, 16, 8, 12264, 101, 220, 16, 340, 16, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 15, 8, 75078, 220, 16, 271, 3883, 512, 83193, 15, 198, 16, 75078, 320, 83193, 15, 340, 16, 75078, 220, 16, 198, 1163, 8477, 25, 97265, 15], "tokenizer": "cl100k_base", "tokens_len": 857, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac1)) \u2227 ((1 \u2228 0) \u2228 (1 \u2227 0))\n\nOptions:\n((1 \u2228 0) \u2228 (1 \u2227 0)) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 (1 \u2228 0)) \u2228 ((\u00ac(\u00ac1)) \u2227 (1 \u2227 0))\n(\u00ac(\u00ac1)) \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\n(\u00ac(\u00ac1)) \u2227 (1 \u2228 (0 \u2228 (1 \u2227 0)))\n(\u00ac(\u00ac1)) \u2227 (((1 \u2228 0) \u2228 1) \u2227 ((1 \u2228 0) \u2228 0))\n(\u00ac(\u00ac1)) \u2227 ((1 \u2228 0) \u2228 0)\n(\u00ac(\u00ac1)) \u2227 ((1 \u2228 0) \u2228 (0 \u2227 1))\n(\u00ac(\u00ac1)) \u2227 (1 \u2228 (1 \u2227 0))\n(\u00ac(\u00ac1)) \u2227 ((0 \u2228 1) \u2228 (1 \u2227 0))\n1 \u2227 ((1 \u2228 0) \u2228 (1 \u2227 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2228 (1 \u2227 0))\nChosen: (\u00ac(\u00ac1)) \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\n\nOptions:\n((1 \u2227 0) \u2228 (1 \u2228 0)) \u2227 (\u00ac(\u00ac1))\n((\u00ac(\u00ac1)) \u2227 (1 \u2227 0)) \u2228 ((\u00ac(\u00ac1)) \u2227 (1 \u2228 0))\n(\u00ac(\u00ac1)) \u2227 (((1 \u2227 0) \u2228 1) \u2228 0)\n(\u00ac(\u00ac1)) \u2227 ((1 \u2227 0) \u2228 1)\n(\u00ac(\u00ac1)) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 1))\n(\u00ac(\u00ac1)) \u2227 (0 \u2228 (1 \u2228 0))\n(\u00ac(\u00ac1)) \u2227 ((0 \u2227 1) \u2228 (1 \u2228 0))\n1 \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\nChosen: (\u00ac0) \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\n\nOptions:\n((1 \u2227 0) \u2228 (1 \u2228 0)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (1 \u2227 0)) \u2228 ((\u00ac0) \u2227 (1 \u2228 0))\n(\u00ac0) \u2227 ((1 \u2228 0) \u2228 (1 \u2227 0))\n(\u00ac0) \u2227 (((1 \u2227 0) \u2228 1) \u2228 0)\n(\u00ac0) \u2227 ((1 \u2227 0) \u2228 1)\n(\u00ac0) \u2227 ((1 \u2227 0) \u2228 (0 \u2228 1))\n(\u00ac0) \u2227 (0 \u2228 (1 \u2228 0))\n(\u00ac0) \u2227 ((0 \u2227 1) \u2228 (1 \u2228 0))\n1 \u2227 ((1 \u2227 0) \u2228 (1 \u2228 0))\nChosen: (\u00ac0) \u2227 ((1 \u2227 0) \u2228 1)\n\nOptions:\n((1 \u2227 0) \u2228 1) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (1 \u2227 0)) \u2228 ((\u00ac0) \u2227 1)\n(\u00ac0) \u2227 1\n(\u00ac0) \u2227 (1 \u2228 (1 \u2227 0))\n(\u00ac0) \u2227 (0 \u2228 1)\n(\u00ac0) \u2227 ((0 \u2227 1) \u2228 1)\n1 \u2227 ((1 \u2227 0) \u2228 1)\nChosen: (\u00ac0) \u2227 1\n\nOptions:\n\u00ac0\n1 \u2227 (\u00ac0)\n1 \u2227 1\nChosen: \u00ac0", "id": 1834}, {"char_len": 1619, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 4489, 3883, 512, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 6774, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 48, 340, 7, 83193, 48, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 6054, 1209, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 16, 75078, 220, 15, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 320, 15, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 220, 16, 595, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 1192, 6774, 83193, 48, 8, 12264, 101, 473, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 1192, 1209, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 473, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 1192, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 19789, 3883, 512, 1209, 39, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 7861, 12264, 101, 320, 83193, 48, 340, 7, 83193, 48, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 320, 39, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 12264, 101, 11861, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 48, 1192, 7, 83193, 48, 8, 12264, 101, 320, 39, 12264, 101, 320, 16, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 23631, 7, 83193, 48, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 16, 75078, 220, 15, 6054, 7, 83193, 48, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 320, 15, 12264, 101, 320, 83193, 48, 6054, 7, 83193, 48, 8, 12264, 101, 1819, 39, 12264, 101, 220, 16, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 6054, 7, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 6054, 7, 83193, 48, 8, 12264, 101, 1819, 16, 12264, 101, 473, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 6054, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 19789, 3883, 512, 7, 16, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 7861, 12264, 101, 320, 83193, 48, 340, 1209, 83193, 48, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 1192, 7, 83193, 48, 8, 12264, 101, 220, 16, 198, 7, 83193, 48, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 340, 7, 83193, 48, 8, 12264, 101, 1819, 16, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 83193, 48, 1192, 7, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 320, 16, 75078, 220, 15, 6054, 7, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 320, 15, 12264, 101, 320, 83193, 48, 6054, 7, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 6054, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 11861, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 696, 3883, 512, 6774, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 48, 340, 1209, 83193, 48, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 83193, 48, 7861, 12264, 101, 220, 16, 198, 7, 83193, 48, 8, 12264, 101, 220, 16, 198, 7, 83193, 48, 8, 12264, 101, 1819, 16, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 16, 340, 7, 83193, 48, 8, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 340, 7, 83193, 48, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 11861, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 696, 3883, 512, 6774, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 48, 340, 1209, 83193, 48, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 7861, 12264, 101, 220, 16, 198, 7, 83193, 48, 8, 12264, 101, 220, 16, 198, 7, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 6054, 7, 83193, 48, 8, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 1819, 83193, 48, 8, 12264, 101, 220, 16, 1192, 7, 83193, 48, 8, 12264, 101, 11861, 83193, 48, 8, 12264, 101, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 340, 7, 83193, 48, 8, 12264, 101, 1819, 15, 12264, 101, 320, 83193, 48, 595, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 48, 8, 12264, 101, 320, 16, 12264, 101, 1819, 15, 75078, 220, 16, 8, 12264, 101, 320, 83193, 48, 7861], "tokenizer": "cl100k_base", "tokens_len": 1126, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00acQ) \u2228 (H \u2228 1)) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\n\nOptions:\n((1 \u2227 0) \u2228 (\u00acQ)) \u2228 ((\u00acQ) \u2228 (H \u2228 1))\n(((\u00acQ) \u2228 (H \u2228 1)) \u2228 (1 \u2227 0)) \u2228 (\u00acQ)\n(\u00acQ) \u2228 ((H \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ)))\n((\u00acQ) \u2228 (H \u2228 1)) \u2228 ((\u00acQ) \u2228 (1 \u2227 0))\n((\u00acQ) \u2228 (H \u2228 1)) \u2228 (0 \u2228 (\u00acQ))\n((\u00acQ) \u2228 (H \u2228 1)) \u2228 ((0 \u2227 1) \u2228 (\u00acQ))\n((H \u2228 1) \u2228 (\u00acQ)) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\n(((\u00acQ) \u2228 H) \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\n((\u00acQ) \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\n((\u00acQ) \u2228 (1 \u2228 H)) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\nChosen: (\u00acQ) \u2228 ((H \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ)))\n\nOptions:\n((H \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))) \u2228 (\u00acQ)\n(\u00acQ) \u2228 (((1 \u2227 0) \u2228 (\u00acQ)) \u2228 (H \u2228 1))\n(\u00acQ) \u2228 (((H \u2228 1) \u2228 (1 \u2227 0)) \u2228 (\u00acQ))\n(\u00acQ) \u2228 (H \u2228 (1 \u2228 ((1 \u2227 0) \u2228 (\u00acQ))))\n(\u00acQ) \u2228 ((H \u2228 1) \u2228 ((\u00acQ) \u2228 (1 \u2227 0)))\n(\u00acQ) \u2228 ((H \u2228 1) \u2228 (0 \u2228 (\u00acQ)))\n(\u00acQ) \u2228 ((H \u2228 1) \u2228 ((0 \u2227 1) \u2228 (\u00acQ)))\n(\u00acQ) \u2228 (1 \u2228 ((1 \u2227 0) \u2228 (\u00acQ)))\n(\u00acQ) \u2228 ((1 \u2228 H) \u2228 ((1 \u2227 0) \u2228 (\u00acQ)))\nChosen: (\u00acQ) \u2228 (1 \u2228 ((1 \u2227 0) \u2228 (\u00acQ)))\n\nOptions:\n(1 \u2228 ((1 \u2227 0) \u2228 (\u00acQ))) \u2228 (\u00acQ)\n((\u00acQ) \u2228 1) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))\n(\u00acQ) \u2228 1\n(\u00acQ) \u2228 (((1 \u2227 0) \u2228 (\u00acQ)) \u2228 1)\n(\u00acQ) \u2228 ((1 \u2228 (1 \u2227 0)) \u2228 (\u00acQ))\n(\u00acQ) \u2228 (1 \u2228 ((\u00acQ) \u2228 (1 \u2227 0)))\n(\u00acQ) \u2228 (1 \u2228 (0 \u2228 (\u00acQ)))\n(\u00acQ) \u2228 (1 \u2228 ((0 \u2227 1) \u2228 (\u00acQ)))\nChosen: (\u00acQ) \u2228 (((1 \u2227 0) \u2228 (\u00acQ)) \u2228 1)\n\nOptions:\n(((1 \u2227 0) \u2228 (\u00acQ)) \u2228 1) \u2228 (\u00acQ)\n((\u00acQ) \u2228 ((1 \u2227 0) \u2228 (\u00acQ))) \u2228 1\n(\u00acQ) \u2228 1\n(\u00acQ) \u2228 ((1 \u2227 0) \u2228 ((\u00acQ) \u2228 1))\n(\u00acQ) \u2228 (((\u00acQ) \u2228 (1 \u2227 0)) \u2228 1)\n(\u00acQ) \u2228 ((0 \u2228 (\u00acQ)) \u2228 1)\n(\u00acQ) \u2228 (((0 \u2227 1) \u2228 (\u00acQ)) \u2228 1)\nChosen: (\u00acQ) \u2228 (((0 \u2227 1) \u2228 (\u00acQ)) \u2228 1)\n\nOptions:\n(((0 \u2227 1) \u2228 (\u00acQ)) \u2228 1) \u2228 (\u00acQ)\n((\u00acQ) \u2228 ((0 \u2227 1) \u2228 (\u00acQ))) \u2228 1\n(\u00acQ) \u2228 1\n(\u00acQ) \u2228 (1 \u2228 ((0 \u2227 1) \u2228 (\u00acQ)))\n(\u00acQ) \u2228 ((0 \u2227 1) \u2228 ((\u00acQ) \u2228 1))\n(\u00acQ) \u2228 (((\u00acQ) \u2228 (0 \u2227 1)) \u2228 1)\n(\u00acQ) \u2228 ((0 \u2228 (\u00acQ)) \u2228 1)\nChosen: (\u00acQ) \u2228 (1 \u2228 ((0 \u2227 1) \u2228 (\u00acQ)))", "id": 1835}, {"char_len": 1292, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 1209, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 44, 75078, 386, 595, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 320, 44, 75078, 386, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 1192, 6774, 83193, 15, 8, 12264, 101, 507, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 507, 8, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 507, 595, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 1192, 7, 16, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 1819, 44, 75078, 386, 8, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 3269, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 1192, 6774, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 386, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 1819, 83193, 46, 8, 12264, 101, 386, 340, 1209, 46, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 6774, 83193, 15, 8, 12264, 101, 507, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 507, 8, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 320, 16, 75078, 507, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 7, 16, 12264, 101, 320, 46, 75078, 220, 16, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 12264, 101, 507, 8, 75078, 320, 44, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 3269, 12264, 101, 320, 83193, 46, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 507, 340, 6774, 83193, 15, 8, 12264, 101, 507, 8, 75078, 386, 8, 12264, 101, 11861, 83193, 15, 8, 12264, 101, 507, 8, 75078, 320, 83193, 46, 1192, 1209, 83193, 15, 8, 12264, 101, 507, 8, 75078, 1819, 83193, 46, 8, 12264, 101, 386, 340, 19792, 12264, 101, 320, 83193, 15, 595, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 7, 16, 12264, 101, 507, 8, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 507, 8, 75078, 320, 44, 12264, 101, 320, 83193, 46, 4489, 3883, 512, 3269, 12264, 101, 320, 83193, 46, 595, 75078, 320, 16, 12264, 101, 507, 340, 1209, 16, 12264, 101, 507, 8, 75078, 386, 8, 12264, 101, 1819, 16, 12264, 101, 507, 8, 75078, 320, 83193, 46, 1192, 7, 16, 12264, 101, 507, 8, 75078, 1819, 83193, 46, 8, 12264, 101, 386, 340, 16, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 19792, 12264, 101, 220, 16, 8, 75078, 320, 44, 12264, 101, 320, 83193, 46, 1192, 1163, 8477, 25, 320, 44, 12264, 101, 320, 83193, 46, 595, 75078, 320, 16, 12264, 101, 507, 696, 3883, 512, 1209, 44, 12264, 101, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 44, 12264, 101, 320, 83193, 46, 595, 75078, 507, 340, 3269, 12264, 101, 320, 83193, 46, 595, 75078, 220, 16, 198, 3269, 12264, 101, 320, 83193, 46, 595, 75078, 320, 46, 12264, 101, 220, 16, 340, 1209, 83193, 46, 8, 12264, 101, 386, 8, 75078, 320, 16, 12264, 101, 507, 340, 1163, 8477, 25, 1819, 44, 12264, 101, 320, 83193, 46, 595, 75078, 220, 16, 8, 12264, 101, 1819, 44, 12264, 101, 320, 83193, 46, 595, 75078, 507, 8], "tokenizer": "cl100k_base", "tokens_len": 796, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac0) \u2228 (O \u2227 1)) \u2227 ((M \u2227 M) \u2228 (\u00acO))\n\nOptions:\n((M \u2227 M) \u2228 (\u00acO)) \u2227 ((\u00ac0) \u2228 (O \u2227 1))\n(((\u00ac0) \u2228 (O \u2227 1)) \u2227 (M \u2227 M)) \u2228 (((\u00ac0) \u2228 (O \u2227 1)) \u2227 (\u00acO))\n((\u00ac0) \u2228 (O \u2227 1)) \u2227 ((\u00acO) \u2228 (M \u2227 M))\n((\u00ac0) \u2228 (O \u2227 1)) \u2227 (M \u2228 (\u00acO))\n((O \u2227 1) \u2228 (\u00ac0)) \u2227 ((M \u2227 M) \u2228 (\u00acO))\n(((\u00ac0) \u2228 O) \u2227 ((\u00ac0) \u2228 1)) \u2227 ((M \u2227 M) \u2228 (\u00acO))\n((\u00ac0) \u2228 O) \u2227 ((M \u2227 M) \u2228 (\u00acO))\n((\u00ac0) \u2228 (1 \u2227 O)) \u2227 ((M \u2227 M) \u2228 (\u00acO))\n(1 \u2228 (O \u2227 1)) \u2227 ((M \u2227 M) \u2228 (\u00acO))\nChosen: ((\u00ac0) \u2228 (O \u2227 1)) \u2227 (M \u2228 (\u00acO))\n\nOptions:\n(M \u2228 (\u00acO)) \u2227 ((\u00ac0) \u2228 (O \u2227 1))\n(((\u00ac0) \u2228 (O \u2227 1)) \u2227 M) \u2228 (((\u00ac0) \u2228 (O \u2227 1)) \u2227 (\u00acO))\n((\u00ac0) \u2228 (O \u2227 1)) \u2227 ((\u00acO) \u2228 M)\n((O \u2227 1) \u2228 (\u00ac0)) \u2227 (M \u2228 (\u00acO))\n(((\u00ac0) \u2228 O) \u2227 ((\u00ac0) \u2228 1)) \u2227 (M \u2228 (\u00acO))\n((\u00ac0) \u2228 O) \u2227 (M \u2228 (\u00acO))\n((\u00ac0) \u2228 (1 \u2227 O)) \u2227 (M \u2228 (\u00acO))\n(1 \u2228 (O \u2227 1)) \u2227 (M \u2228 (\u00acO))\nChosen: ((\u00ac0) \u2228 O) \u2227 (M \u2228 (\u00acO))\n\nOptions:\n(M \u2228 (\u00acO)) \u2227 ((\u00ac0) \u2228 O)\n(((\u00ac0) \u2228 O) \u2227 M) \u2228 (((\u00ac0) \u2228 O) \u2227 (\u00acO))\n((\u00ac0) \u2228 O) \u2227 ((\u00acO) \u2228 M)\n(O \u2228 (\u00ac0)) \u2227 (M \u2228 (\u00acO))\n(1 \u2228 O) \u2227 (M \u2228 (\u00acO))\nChosen: (1 \u2228 O) \u2227 (M \u2228 (\u00acO))\n\nOptions:\n(M \u2228 (\u00acO)) \u2227 (1 \u2228 O)\n((1 \u2228 O) \u2227 M) \u2228 ((1 \u2228 O) \u2227 (\u00acO))\n(1 \u2228 O) \u2227 ((\u00acO) \u2228 M)\n1 \u2227 (M \u2228 (\u00acO))\n(O \u2228 1) \u2227 (M \u2228 (\u00acO))\nChosen: (M \u2228 (\u00acO)) \u2227 (1 \u2228 O)\n\nOptions:\n((M \u2228 (\u00acO)) \u2227 1) \u2228 ((M \u2228 (\u00acO)) \u2227 O)\n(M \u2228 (\u00acO)) \u2227 1\n(M \u2228 (\u00acO)) \u2227 (O \u2228 1)\n((\u00acO) \u2228 M) \u2227 (1 \u2228 O)\nChosen: ((M \u2228 (\u00acO)) \u2227 1) \u2228 ((M \u2228 (\u00acO)) \u2227 O)", "id": 1836}, {"char_len": 1022, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 358, 595, 12264, 101, 320, 83193, 7, 15, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 426, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 358, 1192, 7, 83193, 16, 8, 12264, 101, 1819, 40, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 15, 75078, 426, 6054, 1209, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 358, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 33, 1192, 1209, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 358, 595, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 358, 595, 12264, 101, 320, 83193, 7, 33, 75078, 220, 15, 1192, 1209, 40, 12264, 101, 358, 8, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 6774, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 7, 15, 12264, 101, 320, 40, 12264, 101, 358, 595, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 15, 75078, 426, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 426, 595, 12264, 101, 1819, 83193, 16, 8, 12264, 101, 358, 340, 7, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 320, 83193, 7, 15, 75078, 426, 6054, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 33, 1192, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 33, 75078, 220, 15, 1192, 9149, 12264, 101, 320, 83193, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 7, 15, 12264, 101, 358, 8, 12264, 101, 320, 83193, 7, 15, 75078, 426, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 320, 83193, 7, 15, 75078, 426, 19789, 3883, 512, 9149, 12264, 101, 320, 83193, 7, 15, 75078, 426, 7861, 12264, 101, 320, 83193, 16, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 7, 15, 75078, 426, 595, 12264, 101, 358, 340, 7, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 33, 6054, 7, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 320, 83193, 7, 33, 75078, 220, 15, 6054, 15, 12264, 101, 320, 40, 12264, 101, 320, 83193, 7, 15, 75078, 426, 6054, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 9149, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 320, 83193, 15, 340, 7, 83193, 16, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 358, 340, 7, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 220, 16, 340, 15, 12264, 101, 320, 40, 12264, 101, 320, 83193, 15, 1192, 1163, 8477, 25, 320, 83193, 16, 8, 12264, 101, 320, 40, 12264, 101, 220, 16, 696, 3883, 512, 9149, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 340, 1209, 83193, 16, 8, 12264, 101, 358, 8, 12264, 101, 220, 16, 198, 7, 83193, 16, 8, 12264, 101, 220, 16, 198, 7, 83193, 16, 8, 12264, 101, 320, 16, 12264, 101, 358, 340, 15, 12264, 101, 320, 40, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 40, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 16, 8], "tokenizer": "cl100k_base", "tokens_len": 659, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2228 (I \u2228 I)) \u2228 (\u00ac(0 \u2227 B))\n\nOptions:\n(\u00ac(0 \u2227 B)) \u2228 ((\u00ac1) \u2228 (I \u2228 I))\n(\u00ac1) \u2228 ((I \u2228 I) \u2228 (\u00ac(0 \u2227 B)))\n((\u00ac1) \u2228 (I \u2228 I)) \u2228 ((\u00ac0) \u2228 (\u00acB))\n((\u00ac1) \u2228 (I \u2228 I)) \u2228 (\u00ac0)\n((\u00ac1) \u2228 (I \u2228 I)) \u2228 (\u00ac(B \u2227 0))\n((I \u2228 I) \u2228 (\u00ac1)) \u2228 (\u00ac(0 \u2227 B))\n(((\u00ac1) \u2228 I) \u2228 I) \u2228 (\u00ac(0 \u2227 B))\n((\u00ac1) \u2228 I) \u2228 (\u00ac(0 \u2227 B))\n(0 \u2228 (I \u2228 I)) \u2228 (\u00ac(0 \u2227 B))\nChosen: ((\u00ac1) \u2228 I) \u2228 (\u00ac(0 \u2227 B))\n\nOptions:\n(\u00ac(0 \u2227 B)) \u2228 ((\u00ac1) \u2228 I)\n(\u00ac1) \u2228 (I \u2228 (\u00ac(0 \u2227 B)))\n((\u00ac1) \u2228 I) \u2228 ((\u00ac0) \u2228 (\u00acB))\n((\u00ac1) \u2228 I) \u2228 (\u00ac0)\n((\u00ac1) \u2228 I) \u2228 (\u00ac(B \u2227 0))\n(I \u2228 (\u00ac1)) \u2228 (\u00ac(0 \u2227 B))\n(0 \u2228 I) \u2228 (\u00ac(0 \u2227 B))\nChosen: (\u00ac1) \u2228 (I \u2228 (\u00ac(0 \u2227 B)))\n\nOptions:\n(I \u2228 (\u00ac(0 \u2227 B))) \u2228 (\u00ac1)\n(\u00ac1) \u2228 ((\u00ac(0 \u2227 B)) \u2228 I)\n(\u00ac1) \u2228 (I \u2228 ((\u00ac0) \u2228 (\u00acB)))\n(\u00ac1) \u2228 (I \u2228 (\u00ac0))\n(\u00ac1) \u2228 (I \u2228 (\u00ac(B \u2227 0)))\n0 \u2228 (I \u2228 (\u00ac(0 \u2227 B)))\nChosen: (\u00ac1) \u2228 (I \u2228 (\u00ac0))\n\nOptions:\n(I \u2228 (\u00ac0)) \u2228 (\u00ac1)\n((\u00ac1) \u2228 I) \u2228 (\u00ac0)\n(\u00ac1) \u2228 ((\u00ac0) \u2228 I)\n(\u00ac1) \u2228 (I \u2228 1)\n0 \u2228 (I \u2228 (\u00ac0))\nChosen: (\u00ac1) \u2228 (I \u2228 1)\n\nOptions:\n(I \u2228 1) \u2228 (\u00ac1)\n((\u00ac1) \u2228 I) \u2228 1\n(\u00ac1) \u2228 1\n(\u00ac1) \u2228 (1 \u2228 I)\n0 \u2228 (I \u2228 1)\nChosen: (I \u2228 1) \u2228 (\u00ac1)", "id": 1837}, {"char_len": 1898, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 423, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 423, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 11861, 16, 12264, 101, 423, 8, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 15, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 15, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 423, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 19789, 3883, 512, 7, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 7861, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 6774, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 8, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 1819, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 220, 16, 340, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 12264, 101, 423, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 1819, 35, 12264, 101, 220, 16, 8, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 220, 16, 1192, 1209, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 15, 12264, 101, 220, 16, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 7, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 7, 15, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 320, 35, 12264, 101, 320, 16, 12264, 101, 220, 15, 6054, 1163, 8477, 25, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 1819, 16, 75078, 220, 15, 8, 75078, 320, 15, 75078, 220, 16, 1192, 1209, 15, 75078, 220, 16, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 6774, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 220, 16, 198, 1209, 16, 75078, 220, 15, 8, 75078, 220, 15, 8, 12264, 101, 220, 16, 198, 1209, 16, 75078, 220, 15, 8, 75078, 320, 16, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 7, 15, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 15, 75078, 220, 16, 8, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1163, 8477, 25, 320, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 7861, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 16, 75078, 320, 15, 75078, 320, 15, 75078, 220, 16, 6054, 7, 15, 75078, 320, 15, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 1209, 15, 75078, 320, 15, 75078, 220, 16, 595, 75078, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 220, 15, 8, 12264, 101, 220, 16, 198, 7, 16, 75078, 1819, 15, 75078, 220, 16, 8, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 7, 16, 75078, 1819, 15, 75078, 220, 15, 8, 75078, 220, 16, 595, 12264, 101, 220, 16, 198, 7, 16, 75078, 320, 15, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 7, 16, 75078, 320, 15, 75078, 320, 16, 75078, 220, 15, 7861, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1296, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n\nOptions:\n((1 \u2228 D) \u2228 (1 \u2228 0)) \u2228 ((1 \u2227 0) \u2227 (0 \u2227 1))\n(((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 D)) \u2228 (1 \u2228 0)\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 0) \u2228 (1 \u2228 D))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (((1 \u2228 D) \u2228 1) \u2228 0)\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 D) \u2228 1)\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 D) \u2228 (0 \u2228 1))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (1 \u2228 0))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((D \u2228 1) \u2228 (1 \u2228 0))\n((0 \u2227 1) \u2227 (1 \u2227 0)) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n(((1 \u2227 0) \u2227 0) \u2227 1) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n(1 \u2227 (0 \u2227 (0 \u2227 1))) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n((1 \u2227 0) \u2227 0) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n((1 \u2227 0) \u2227 (1 \u2227 0)) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n(0 \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\n((0 \u2227 1) \u2227 (0 \u2227 1)) \u2228 ((1 \u2228 D) \u2228 (1 \u2228 0))\nChosen: ((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n\nOptions:\n(1 \u2228 (D \u2228 (1 \u2228 0))) \u2228 ((1 \u2227 0) \u2227 (0 \u2227 1))\n(((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 1) \u2228 (D \u2228 (1 \u2228 0))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 1\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 ((D \u2228 (1 \u2228 0)) \u2228 1)\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 ((1 \u2228 0) \u2228 D))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 ((D \u2228 1) \u2228 0))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 1))\n((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 (0 \u2228 1)))\n((0 \u2227 1) \u2227 (1 \u2227 0)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n(((1 \u2227 0) \u2227 0) \u2227 1) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n(1 \u2227 (0 \u2227 (0 \u2227 1))) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n((1 \u2227 0) \u2227 0) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n((1 \u2227 0) \u2227 (1 \u2227 0)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n(0 \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\n((0 \u2227 1) \u2227 (0 \u2227 1)) \u2228 (1 \u2228 (D \u2228 (1 \u2228 0)))\nChosen: ((1 \u2227 0) \u2227 (0 \u2227 1)) \u2228 1\n\nOptions:\n1\n1 \u2228 ((1 \u2227 0) \u2227 (0 \u2227 1))\n((0 \u2227 1) \u2227 (1 \u2227 0)) \u2228 1\n(((1 \u2227 0) \u2227 0) \u2227 1) \u2228 1\n(1 \u2227 (0 \u2227 (0 \u2227 1))) \u2228 1\n((1 \u2227 0) \u2227 0) \u2228 1\n((1 \u2227 0) \u2227 (1 \u2227 0)) \u2228 1\n(0 \u2227 (0 \u2227 1)) \u2228 1\n((0 \u2227 1) \u2227 (0 \u2227 1)) \u2228 1\nChosen: (1 \u2227 (0 \u2227 (0 \u2227 1))) \u2228 1\n\nOptions:\n1\n1 \u2228 (1 \u2227 (0 \u2227 (0 \u2227 1)))\n(0 \u2227 (0 \u2227 1)) \u2228 1\n((0 \u2227 (0 \u2227 1)) \u2227 1) \u2228 1\n(1 \u2227 0) \u2228 1\n(1 \u2227 ((0 \u2227 1) \u2227 0)) \u2228 1\n(1 \u2227 ((0 \u2227 0) \u2227 1)) \u2228 1\n(1 \u2227 (0 \u2227 0)) \u2228 1\n(1 \u2227 (0 \u2227 (1 \u2227 0))) \u2228 1\nChosen: 1", "id": 1838}, {"char_len": 2735, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 55, 12264, 101, 469, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 1819, 55, 12264, 101, 469, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 6774, 55, 12264, 101, 469, 8, 12264, 101, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 340, 7799, 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12264, 101, 220, 15, 595, 12264, 101, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 2053, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 E) \u2228 (1 \u2228 0))\n(((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 (\u00ac0)) \u2228 (1 \u2228 0)\n(X \u2228 E) \u2228 ((1 \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0)))\n((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 ((1 \u2228 0) \u2228 (\u00ac0))\n((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 (((\u00ac0) \u2228 1) \u2228 0)\n((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 ((\u00ac0) \u2228 1)\n((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 ((\u00ac0) \u2228 (0 \u2228 1))\n((X \u2228 E) \u2228 (1 \u2228 0)) \u2228 (1 \u2228 (1 \u2228 0))\n((1 \u2228 0) \u2228 (X \u2228 E)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(X \u2228 (E \u2228 (1 \u2228 0))) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n((X \u2228 E) \u2228 1) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n((X \u2228 E) \u2228 (0 \u2228 1)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n((E \u2228 X) \u2228 (1 \u2228 0)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\nChosen: (((X \u2228 E) \u2228 1) \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n\nOptions:\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n((((X \u2228 E) \u2228 1) \u2228 0) \u2228 (\u00ac0)) \u2228 (1 \u2228 0)\n((X \u2228 E) \u2228 1) \u2228 (0 \u2228 ((\u00ac0) \u2228 (1 \u2228 0)))\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 ((1 \u2228 0) \u2228 (\u00ac0))\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 (((\u00ac0) \u2228 1) \u2228 0)\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 ((\u00ac0) \u2228 1)\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 ((\u00ac0) \u2228 (0 \u2228 1))\n(((X \u2228 E) \u2228 1) \u2228 0) \u2228 (1 \u2228 (1 \u2228 0))\n((X \u2228 E) \u2228 1) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(0 \u2228 ((X \u2228 E) \u2228 1)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(1 \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n((1 \u2228 (X \u2228 E)) \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n((X \u2228 (E \u2228 1)) \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(((E \u2228 X) \u2228 1) \u2228 0) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\nChosen: ((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n\nOptions:\n(((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 E) \u2228 1)) \u2228 0\n(\u00ac0) \u2228 ((1 \u2228 0) \u2228 (((X \u2228 E) \u2228 1) \u2228 0))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 E) \u2228 1)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 E) \u2228 (1 \u2228 0))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (1 \u2228 0)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((1 \u2228 (X \u2228 E)) \u2228 0)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 (E \u2228 1)) \u2228 0)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (((E \u2228 X) \u2228 1) \u2228 0)\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n(((\u00ac0) \u2228 1) \u2228 0) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n((\u00ac0) \u2228 1) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\n(1 \u2228 (1 \u2228 0)) \u2228 (((X \u2228 E) \u2228 1) \u2228 0)\nChosen: ((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n\nOptions:\n(0 \u2228 ((X \u2228 E) \u2228 1)) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(((\u00ac0) \u2228 (1 \u2228 0)) \u2228 0) \u2228 ((X \u2228 E) \u2228 1)\n(\u00ac0) \u2228 ((1 \u2228 0) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1)))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((X \u2228 E) \u2228 1)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 ((0 \u2228 (X \u2228 E)) \u2228 1)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 1)\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 (1 \u2228 (X \u2228 E)))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 (X \u2228 (E \u2228 1)))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 ((E \u2228 X) \u2228 1))\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n(((\u00ac0) \u2228 1) \u2228 0) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n((\u00ac0) \u2228 1) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\n(1 \u2228 (1 \u2228 0)) \u2228 (0 \u2228 ((X \u2228 E) \u2228 1))\nChosen: ((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (0 \u2228 1)\n\nOptions:\n(0 \u2228 1) \u2228 ((\u00ac0) \u2228 (1 \u2228 0))\n(((\u00ac0) \u2228 (1 \u2228 0)) \u2228 0) \u2228 1\n(\u00ac0) \u2228 ((1 \u2228 0) \u2228 (0 \u2228 1))\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 1\n((\u00ac0) \u2228 (1 \u2228 0)) \u2228 (1 \u2228 0)\n((1 \u2228 0) \u2228 (\u00ac0)) \u2228 (0 \u2228 1)\n(((\u00ac0) \u2228 1) \u2228 0) \u2228 (0 \u2228 1)\n((\u00ac0) \u2228 1) \u2228 (0 \u2228 1)\n((\u00ac0) \u2228 (0 \u2228 1)) \u2228 (0 \u2228 1)\n(1 \u2228 (1 \u2228 0)) \u2228 (0 \u2228 1)\nChosen: ((\u00ac0) \u2228 (1 \u2228 0)) \u2228 1", "id": 1839}, {"char_len": 1782, "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, 16, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 4489, 3883, 512, 1209, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 595, 12264, 101, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 6054, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 16, 12264, 101, 622, 595, 75078, 11861, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 320, 50, 12264, 101, 622, 1192, 1209, 16, 12264, 101, 220, 16, 8, 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12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 1192, 6774, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 75078, 1819, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 1192, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 1192, 7, 16, 12264, 101, 320, 16, 75078, 220, 16, 595, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 1192, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 19789, 3883, 512, 1209, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 7861, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 16, 12264, 101, 320, 16, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 23631, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 11861, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 595, 12264, 101, 320, 16, 75078, 220, 16, 1192, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 11861, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 622, 595, 75078, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 50, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 50, 12264, 101, 622, 8, 75078, 320, 16, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 11861, 16, 12264, 101, 622, 8, 75078, 328, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 328, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 320, 16, 75078, 320, 50, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 41, 12264, 101, 220, 16, 8, 75078, 320, 50, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 6054, 16, 12264, 101, 1819, 16, 75078, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 6054, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 19789, 3883, 512, 7, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 7861, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 1209, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 1192, 16, 12264, 101, 320, 16, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 23631, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 11861, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 595, 12264, 101, 220, 16, 340, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 1819, 16, 12264, 101, 320, 16, 12264, 101, 622, 595, 75078, 320, 16, 12264, 101, 320, 50, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 50, 12264, 101, 622, 8, 75078, 320, 16, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 11861, 16, 12264, 101, 622, 8, 75078, 328, 8, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 41, 12264, 101, 328, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 320, 16, 75078, 320, 50, 12264, 101, 622, 6054, 7, 16, 12264, 101, 220, 16, 8, 12264, 101, 320, 16, 12264, 101, 1819, 41, 12264, 101, 220, 16, 8, 75078, 320, 50, 12264, 101, 622, 6054, 16, 12264, 101, 320, 16, 12264, 101, 1819, 16, 12264, 101, 622, 8, 75078, 320, 50, 12264, 101, 622, 6054, 1163, 8477, 25, 320, 16, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 16, 12264, 101, 220, 16, 340, 16, 12264, 101, 220, 16, 198, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 1198, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n\nOptions:\n((1 \u2228 J) \u2227 (S \u2228 J)) \u2228 ((1 \u2228 1) \u2228 (1 \u2227 1))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\n(((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (1 \u2228 J)) \u2227 (((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (S \u2228 J))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 ((S \u2228 J) \u2227 (1 \u2228 J))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (((1 \u2228 J) \u2227 S) \u2228 ((1 \u2228 J) \u2227 J))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 ((1 \u2228 J) \u2227 (J \u2228 S))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 (1 \u2227 (S \u2228 J))\n((1 \u2228 1) \u2228 (1 \u2227 1)) \u2228 ((J \u2228 1) \u2227 (S \u2228 J))\n((1 \u2227 1) \u2228 (1 \u2228 1)) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n(1 \u2228 (1 \u2228 (1 \u2227 1))) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n(((1 \u2228 1) \u2228 1) \u2227 ((1 \u2228 1) \u2228 1)) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n((1 \u2228 1) \u2228 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n(1 \u2228 (1 \u2227 1)) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\nChosen: (1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\n\nOptions:\n((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))) \u2228 (1 \u2228 1)\n1 \u2228 (1 \u2228 ((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))))\n(1 \u2228 1) \u2228 (((1 \u2228 J) \u2227 (S \u2228 J)) \u2228 (1 \u2227 1))\n(1 \u2228 1) \u2228 (((1 \u2227 1) \u2228 (1 \u2228 J)) \u2227 ((1 \u2227 1) \u2228 (S \u2228 J)))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 ((S \u2228 J) \u2227 (1 \u2228 J)))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 (((1 \u2228 J) \u2227 S) \u2228 ((1 \u2228 J) \u2227 J)))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (J \u2228 S)))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 (1 \u2227 (S \u2228 J)))\n(1 \u2228 1) \u2228 ((1 \u2227 1) \u2228 ((J \u2228 1) \u2227 (S \u2228 J)))\n(1 \u2228 1) \u2228 (1 \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\n1 \u2228 ((1 \u2227 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\nChosen: (1 \u2228 1) \u2228 (1 \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\n\nOptions:\n(1 \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))) \u2228 (1 \u2228 1)\n((1 \u2228 1) \u2228 1) \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))\n1 \u2228 (1 \u2228 (1 \u2228 ((1 \u2228 J) \u2227 (S \u2228 J))))\n(1 \u2228 1) \u2228 1\n(1 \u2228 1) \u2228 (((1 \u2228 J) \u2227 (S \u2228 J)) \u2228 1)\n(1 \u2228 1) \u2228 ((1 \u2228 (1 \u2228 J)) \u2227 (1 \u2228 (S \u2228 J)))\n(1 \u2228 1) \u2228 (1 \u2228 ((S \u2228 J) \u2227 (1 \u2228 J)))\n(1 \u2228 1) \u2228 (1 \u2228 (((1 \u2228 J) \u2227 S) \u2228 ((1 \u2228 J) \u2227 J)))\n(1 \u2228 1) \u2228 (1 \u2228 ((1 \u2228 J) \u2227 (J \u2228 S)))\n(1 \u2228 1) \u2228 (1 \u2228 (1 \u2227 (S \u2228 J)))\n(1 \u2228 1) \u2228 (1 \u2228 ((J \u2228 1) \u2227 (S \u2228 J)))\n1 \u2228 (1 \u2228 ((1 \u2228 J) \u2227 (S \u2228 J)))\nChosen: (1 \u2228 1) \u2228 1\n\nOptions:\n1\n1 \u2228 (1 \u2228 1)\n1 \u2228 1\nChosen: 1", "id": 1840}, {"char_len": 351, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 83193, 15, 8, 12264, 101, 320, 48, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 7, 48, 75078, 220, 15, 1192, 83193, 1209, 48, 75078, 220, 15, 8, 12264, 101, 320, 83193, 15, 1192, 83193, 6774, 83193, 15, 8, 12264, 101, 1229, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 83193, 15, 8, 12264, 101, 220, 15, 340, 83193, 1209, 83193, 15, 8, 12264, 101, 320, 15, 75078, 1229, 1192, 83193, 7, 16, 12264, 101, 320, 48, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 1209, 83193, 15, 8, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 7, 83193, 15, 595, 75078, 320, 83193, 15, 340, 83193, 7, 83193, 15, 340, 83193, 16, 198, 83193, 7, 15, 12264, 101, 320, 83193, 15, 1192, 83193, 7, 16, 12264, 101, 220, 15, 340, 1163, 8477, 25, 97265, 7, 83193, 15, 696, 3883, 512, 15, 198, 83193, 16, 198, 1163, 8477, 25, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 184, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((\u00ac0) \u2228 (Q \u2227 0))\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac(Q \u2227 0))\n\u00ac((Q \u2227 0) \u2228 (\u00ac0))\n\u00ac(((\u00ac0) \u2228 Q) \u2227 ((\u00ac0) \u2228 0))\n\u00ac((\u00ac0) \u2228 0)\n\u00ac((\u00ac0) \u2228 (0 \u2227 Q))\n\u00ac(1 \u2228 (Q \u2227 0))\nChosen: \u00ac((\u00ac0) \u2228 0)\n\nOptions:\n(\u00ac(\u00ac0)) \u2227 (\u00ac0)\n\u00ac(\u00ac0)\n\u00ac1\n\u00ac(0 \u2228 (\u00ac0))\n\u00ac(1 \u2228 0)\nChosen: \u00ac(\u00ac0)\n\nOptions:\n0\n\u00ac1\nChosen: 0", "id": 1841}, {"char_len": 197, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 7, 83193, 7, 44, 12264, 101, 650, 4489, 3883, 512, 44, 12264, 101, 650, 198, 83193, 1209, 83193, 44, 8, 75078, 320, 83193, 53, 1192, 83193, 7, 83193, 7, 53, 12264, 101, 386, 1192, 1163, 8477, 25, 386, 12264, 101, 650, 271, 3883, 512, 53, 12264, 101, 386, 198, 1163, 8477, 25, 650, 12264, 101, 386], "tokenizer": "cl100k_base", "tokens_len": 75, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac(\u00ac(M \u2228 V))\n\nOptions:\nM \u2228 V\n\u00ac((\u00acM) \u2227 (\u00acV))\n\u00ac(\u00ac(V \u2228 M))\nChosen: M \u2228 V\n\nOptions:\nV \u2228 M\nChosen: V \u2228 M", "id": 1842}, {"char_len": 1509, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 1192, 6774, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 83193, 16, 595, 75078, 320, 15, 12264, 101, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 44, 75078, 622, 8, 12264, 101, 320, 16, 75078, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 6774, 16, 75078, 220, 15, 8, 12264, 101, 386, 8, 75078, 1819, 16, 75078, 220, 15, 8, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 16, 75078, 220, 15, 8, 12264, 101, 320, 41, 75078, 386, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 75078, 220, 16, 8, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 595, 75078, 320, 15, 12264, 101, 320, 44, 75078, 622, 1192, 1209, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 83193, 16, 595, 75078, 320, 15, 12264, 101, 220, 15, 340, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 15, 12264, 101, 220, 15, 8, 75078, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 11861, 83193, 16, 8, 75078, 220, 15, 8, 12264, 101, 1819, 83193, 16, 8, 75078, 220, 15, 1192, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 15, 75078, 320, 15, 12264, 101, 220, 15, 1192, 3269, 75078, 622, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 44, 75078, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1209, 15, 12264, 101, 386, 8, 75078, 320, 15, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 7, 15, 12264, 101, 320, 41, 75078, 386, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 15, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 696, 3883, 512, 1209, 83193, 16, 8, 75078, 220, 15, 8, 75078, 320, 15, 12264, 101, 320, 44, 75078, 622, 1192, 1209, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 83193, 16, 595, 75078, 220, 15, 198, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 220, 15, 198, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 15, 75078, 320, 83193, 16, 1192, 7, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 320, 15, 75078, 220, 15, 340, 3269, 75078, 622, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 44, 75078, 622, 8, 12264, 101, 220, 15, 8, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1209, 15, 12264, 101, 386, 8, 75078, 320, 15, 12264, 101, 622, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 7, 15, 12264, 101, 320, 41, 75078, 386, 595, 75078, 1819, 83193, 16, 8, 75078, 220, 15, 340, 1163, 8477, 25, 320, 15, 12264, 101, 320, 44, 75078, 622, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 15, 12264, 101, 320, 44, 75078, 622, 1192, 3269, 75078, 622, 8, 75078, 220, 15, 198, 1209, 44, 75078, 622, 8, 12264, 101, 220, 15, 8, 75078, 220, 15, 198, 1209, 15, 12264, 101, 386, 8, 75078, 320, 15, 12264, 101, 622, 595, 75078, 220, 15, 198, 7, 15, 12264, 101, 320, 41, 75078, 386, 595, 75078, 220, 15, 198, 1163, 8477, 25, 320, 15, 12264, 101, 320, 41, 75078, 386, 595, 75078, 220, 15, 271, 3883, 512, 15, 198, 15, 75078, 320, 15, 12264, 101, 320, 41, 75078, 386, 1192, 16772, 75078, 386, 8, 75078, 220, 15, 198, 1209, 41, 75078, 386, 8, 12264, 101, 220, 15, 8, 75078, 220, 15, 198, 1209, 15, 12264, 101, 622, 8, 75078, 320, 15, 12264, 101, 386, 595, 75078, 220, 15, 198, 1163, 8477, 25, 1819, 15, 12264, 101, 622, 8, 75078, 320, 15, 12264, 101, 386, 595, 75078, 220, 15], "tokenizer": "cl100k_base", "tokens_len": 932, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n\nOptions:\n((\u00ac1) \u2227 (0 \u2228 0)) \u2227 ((1 \u2227 0) \u2228 (M \u2227 J))\n(((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 (\u00ac1)) \u2227 (0 \u2228 0)\n((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 ((0 \u2228 0) \u2227 (\u00ac1))\n((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 (((\u00ac1) \u2227 0) \u2228 ((\u00ac1) \u2227 0))\n((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 0)\n((1 \u2227 0) \u2228 (M \u2227 J)) \u2227 (0 \u2227 (0 \u2228 0))\n((M \u2227 J) \u2228 (1 \u2227 0)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n(((1 \u2227 0) \u2228 M) \u2227 ((1 \u2227 0) \u2228 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n((1 \u2227 0) \u2228 (J \u2227 M)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n(0 \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n((0 \u2227 1) \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\nChosen: (0 \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n\nOptions:\n((\u00ac1) \u2227 (0 \u2228 0)) \u2227 (0 \u2228 (M \u2227 J))\n((0 \u2228 (M \u2227 J)) \u2227 (\u00ac1)) \u2227 (0 \u2228 0)\n(0 \u2228 (M \u2227 J)) \u2227 ((0 \u2228 0) \u2227 (\u00ac1))\n(0 \u2228 (M \u2227 J)) \u2227 (((\u00ac1) \u2227 0) \u2228 ((\u00ac1) \u2227 0))\n(0 \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 0)\n(0 \u2228 (M \u2227 J)) \u2227 (0 \u2227 (0 \u2228 0))\n(M \u2227 J) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n((M \u2227 J) \u2228 0) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n((0 \u2228 M) \u2227 (0 \u2228 J)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\n(0 \u2228 (J \u2227 M)) \u2227 ((\u00ac1) \u2227 (0 \u2228 0))\nChosen: (0 \u2228 (M \u2227 J)) \u2227 ((\u00ac1) \u2227 0)\n\nOptions:\n((\u00ac1) \u2227 0) \u2227 (0 \u2228 (M \u2227 J))\n((0 \u2228 (M \u2227 J)) \u2227 (\u00ac1)) \u2227 0\n(0 \u2228 (M \u2227 J)) \u2227 0\n(0 \u2228 (M \u2227 J)) \u2227 (0 \u2227 (\u00ac1))\n(0 \u2228 (M \u2227 J)) \u2227 (0 \u2227 0)\n(M \u2227 J) \u2227 ((\u00ac1) \u2227 0)\n((M \u2227 J) \u2228 0) \u2227 ((\u00ac1) \u2227 0)\n((0 \u2228 M) \u2227 (0 \u2228 J)) \u2227 ((\u00ac1) \u2227 0)\n(0 \u2228 (J \u2227 M)) \u2227 ((\u00ac1) \u2227 0)\nChosen: (0 \u2228 (M \u2227 J)) \u2227 0\n\nOptions:\n0\n0 \u2227 (0 \u2228 (M \u2227 J))\n(M \u2227 J) \u2227 0\n((M \u2227 J) \u2228 0) \u2227 0\n((0 \u2228 M) \u2227 (0 \u2228 J)) \u2227 0\n(0 \u2228 (J \u2227 M)) \u2227 0\nChosen: (0 \u2228 (J \u2227 M)) \u2227 0\n\nOptions:\n0\n0 \u2227 (0 \u2228 (J \u2227 M))\n(J \u2227 M) \u2227 0\n((J \u2227 M) \u2228 0) \u2227 0\n((0 \u2228 J) \u2227 (0 \u2228 M)) \u2227 0\nChosen: ((0 \u2228 J) \u2227 (0 \u2228 M)) \u2227 0", "id": 1843}, {"char_len": 657, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 49, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 44, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 320, 83193, 7, 49, 12264, 101, 432, 1192, 1209, 83193, 7, 49, 12264, 101, 432, 595, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 44, 340, 7, 83193, 7, 49, 12264, 101, 432, 595, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 49, 12264, 101, 432, 595, 12264, 101, 320, 16, 12264, 101, 320, 83193, 44, 1192, 1209, 83193, 49, 8, 75078, 320, 83193, 49, 595, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 44, 1192, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 44, 1192, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 44, 4489, 3883, 512, 1209, 83193, 15, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 44, 340, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 49, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 44, 1192, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 320, 83193, 15, 4489, 3883, 512, 1209, 83193, 44, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 49, 8, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 220, 16, 340, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 1819, 83193, 44, 8, 12264, 101, 220, 16, 696, 3883, 512, 1209, 83193, 44, 8, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 49, 340, 1209, 83193, 49, 8, 12264, 101, 320, 83193, 44, 595, 12264, 101, 220, 16, 198, 7, 83193, 49, 8, 12264, 101, 220, 16, 198, 7, 83193, 49, 8, 12264, 101, 320, 16, 12264, 101, 320, 83193, 44, 1192, 1163, 8477, 25, 320, 83193, 49, 8, 12264, 101, 220, 16, 271, 3883, 512, 16, 198, 16, 12264, 101, 320, 83193, 49, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 407, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(R \u2228 R)) \u2228 ((\u00ac0) \u2228 (\u00acM))\n\nOptions:\n((\u00ac0) \u2228 (\u00acM)) \u2228 (\u00ac(R \u2228 R))\n((\u00ac(R \u2228 R)) \u2228 (\u00ac0)) \u2228 (\u00acM)\n(\u00ac(R \u2228 R)) \u2228 ((\u00acM) \u2228 (\u00ac0))\n(\u00ac(R \u2228 R)) \u2228 (1 \u2228 (\u00acM))\n((\u00acR) \u2227 (\u00acR)) \u2228 ((\u00ac0) \u2228 (\u00acM))\n(\u00acR) \u2228 ((\u00ac0) \u2228 (\u00acM))\nChosen: (\u00acR) \u2228 ((\u00ac0) \u2228 (\u00acM))\n\nOptions:\n((\u00ac0) \u2228 (\u00acM)) \u2228 (\u00acR)\n((\u00acR) \u2228 (\u00ac0)) \u2228 (\u00acM)\n(\u00acR) \u2228 ((\u00acM) \u2228 (\u00ac0))\n(\u00acR) \u2228 (1 \u2228 (\u00acM))\nChosen: (\u00acR) \u2228 ((\u00acM) \u2228 (\u00ac0))\n\nOptions:\n((\u00acM) \u2228 (\u00ac0)) \u2228 (\u00acR)\n((\u00acR) \u2228 (\u00acM)) \u2228 (\u00ac0)\n(\u00acR) \u2228 ((\u00acM) \u2228 1)\nChosen: (\u00acR) \u2228 ((\u00acM) \u2228 1)\n\nOptions:\n((\u00acM) \u2228 1) \u2228 (\u00acR)\n((\u00acR) \u2228 (\u00acM)) \u2228 1\n(\u00acR) \u2228 1\n(\u00acR) \u2228 (1 \u2228 (\u00acM))\nChosen: (\u00acR) \u2228 1\n\nOptions:\n1\n1 \u2228 (\u00acR)\nChosen: 1", "id": 1844}, {"char_len": 968, "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, 39, 595, 75078, 320, 83193, 7, 39, 12264, 101, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 12264, 101, 220, 15, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 39, 12264, 101, 220, 15, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 15, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 39, 340, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 7, 15, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 7, 15, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 7, 15, 12264, 101, 473, 6054, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 39, 340, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 473, 1192, 7, 15, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 15, 12264, 101, 473, 4489, 3883, 512, 7, 83193, 7, 15, 12264, 101, 473, 595, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 39, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 7, 15, 12264, 101, 473, 6054, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 39, 1192, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 39, 340, 1209, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 7, 39, 12264, 101, 220, 15, 1192, 1209, 83193, 39, 8, 75078, 220, 15, 8, 75078, 320, 83193, 7, 15, 12264, 101, 473, 1192, 1163, 8477, 25, 1819, 83193, 39, 8, 75078, 320, 83193, 16, 595, 75078, 320, 83193, 39, 696, 3883, 512, 7, 83193, 39, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 16, 1192, 7, 83193, 39, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 1192, 1209, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 39, 340, 1209, 83193, 39, 8, 75078, 220, 15, 8, 75078, 320, 83193, 39, 340, 1163, 8477, 25, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 39, 696, 3883, 512, 7, 83193, 39, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 1192, 7, 83193, 16, 8, 75078, 1819, 83193, 39, 8, 75078, 320, 83193, 39, 1192, 7, 15, 75078, 320, 83193, 39, 595, 75078, 320, 83193, 39, 340, 1163, 8477, 25, 320, 83193, 39, 8, 75078, 1819, 83193, 16, 8, 75078, 320, 83193, 39, 595], "tokenizer": "cl100k_base", "tokens_len": 568, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00ac(H \u2228 0))\n\nOptions:\n(\u00ac(H \u2228 0)) \u2227 ((\u00ac1) \u2227 (\u00acH))\n(\u00ac1) \u2227 ((\u00acH) \u2227 (\u00ac(H \u2228 0)))\n((\u00ac1) \u2227 (\u00acH)) \u2227 ((\u00acH) \u2227 (\u00ac0))\n((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00acH)\n((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00ac(0 \u2228 H))\n((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00ac(H \u2228 0))\n(0 \u2227 (\u00acH)) \u2227 (\u00ac(H \u2228 0))\nChosen: ((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00ac(0 \u2228 H))\n\nOptions:\n(\u00ac(0 \u2228 H)) \u2227 ((\u00ac1) \u2227 (\u00acH))\n(\u00ac1) \u2227 ((\u00acH) \u2227 (\u00ac(0 \u2228 H)))\n((\u00ac1) \u2227 (\u00acH)) \u2227 ((\u00ac0) \u2227 (\u00acH))\n((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00acH)\n((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00ac(0 \u2228 H))\n(0 \u2227 (\u00acH)) \u2227 (\u00ac(0 \u2228 H))\nChosen: ((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00ac(0 \u2228 H))\n\nOptions:\n(\u00ac(0 \u2228 H)) \u2227 ((\u00acH) \u2227 (\u00ac1))\n(\u00acH) \u2227 ((\u00ac1) \u2227 (\u00ac(0 \u2228 H)))\n((\u00acH) \u2227 (\u00ac1)) \u2227 ((\u00ac0) \u2227 (\u00acH))\n((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00acH)\n((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00ac(H \u2228 0))\n((\u00acH) \u2227 0) \u2227 (\u00ac(0 \u2228 H))\nChosen: ((\u00acH) \u2227 (\u00ac1)) \u2227 (\u00acH)\n\nOptions:\n(\u00acH) \u2227 ((\u00acH) \u2227 (\u00ac1))\n(\u00acH) \u2227 ((\u00ac1) \u2227 (\u00acH))\n((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00acH)\n((\u00acH) \u2227 0) \u2227 (\u00acH)\nChosen: ((\u00ac1) \u2227 (\u00acH)) \u2227 (\u00acH)\n\nOptions:\n(\u00acH) \u2227 ((\u00ac1) \u2227 (\u00acH))\n(\u00ac1) \u2227 ((\u00acH) \u2227 (\u00acH))\n(0 \u2227 (\u00acH)) \u2227 (\u00acH)\nChosen: (\u00acH) \u2227 ((\u00ac1) \u2227 (\u00acH))", "id": 1845}, {"char_len": 1259, "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, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 15, 595, 75078, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 15, 1192, 5549, 75078, 220, 16, 8, 75078, 1819, 83193, 15, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 6054, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 1209, 35, 75078, 220, 16, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 5549, 75078, 320, 16, 75078, 320, 83193, 15, 7861, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1209, 35, 75078, 220, 16, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 5549, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1209, 16, 75078, 423, 8, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 1192, 7, 83193, 15, 8, 75078, 1819, 35, 75078, 220, 16, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 6054, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 320, 35, 75078, 220, 16, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 6774, 83193, 15, 8, 75078, 423, 8, 75078, 220, 16, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1209, 83193, 15, 8, 75078, 320, 16, 75078, 423, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 16, 75078, 320, 35, 75078, 220, 16, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 34, 75078, 220, 15, 595, 75078, 1819, 83193, 15, 8, 75078, 423, 340, 7, 83193, 15, 8, 75078, 320, 35, 75078, 320, 83193, 7, 34, 75078, 220, 15, 6054, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 1819, 83193, 34, 8, 12264, 101, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 15, 340, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 5549, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 7, 16, 75078, 423, 8, 75078, 320, 83193, 7, 34, 75078, 220, 15, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 7, 15, 75078, 356, 4489, 3883, 512, 7, 83193, 7, 15, 75078, 356, 595, 75078, 1819, 83193, 15, 8, 75078, 423, 340, 7, 83193, 15, 8, 75078, 320, 35, 75078, 320, 83193, 7, 15, 75078, 356, 6054, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 34, 1192, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 15, 340, 5549, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 7, 16, 75078, 423, 8, 75078, 320, 83193, 7, 15, 75078, 356, 1192, 1163, 8477, 25, 1819, 83193, 15, 8, 75078, 423, 8, 75078, 320, 83193, 15, 696, 3883, 512, 7, 83193, 15, 8, 75078, 1819, 83193, 15, 8, 75078, 423, 340, 7, 83193, 15, 8, 75078, 320, 35, 75078, 320, 83193, 15, 1192, 1209, 83193, 15, 8, 75078, 423, 8, 75078, 220, 16, 198, 5549, 75078, 320, 83193, 15, 595, 75078, 320, 83193, 15, 340, 7, 16, 75078, 423, 8, 75078, 320, 83193, 15, 340, 1163, 8477, 25, 320, 16, 75078, 423, 8, 75078, 320, 83193, 15, 8], "tokenizer": "cl100k_base", "tokens_len": 742, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: ((D \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(C \u2227 0))\n\nOptions:\n(\u00ac(C \u2227 0)) \u2227 ((D \u2227 1) \u2227 (\u00ac0))\n(D \u2227 1) \u2227 ((\u00ac0) \u2227 (\u00ac(C \u2227 0)))\n((D \u2227 1) \u2227 (\u00ac0)) \u2227 ((\u00acC) \u2228 (\u00ac0))\n((D \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac0)\n((D \u2227 1) \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 C))\n((\u00ac0) \u2227 (D \u2227 1)) \u2227 (\u00ac(C \u2227 0))\n(D \u2227 (1 \u2227 (\u00ac0))) \u2227 (\u00ac(C \u2227 0))\n((D \u2227 1) \u2227 1) \u2227 (\u00ac(C \u2227 0))\n(D \u2227 (\u00ac0)) \u2227 (\u00ac(C \u2227 0))\n((1 \u2227 D) \u2227 (\u00ac0)) \u2227 (\u00ac(C \u2227 0))\nChosen: ((\u00ac0) \u2227 (D \u2227 1)) \u2227 (\u00ac(C \u2227 0))\n\nOptions:\n(\u00ac(C \u2227 0)) \u2227 ((\u00ac0) \u2227 (D \u2227 1))\n(\u00ac0) \u2227 ((D \u2227 1) \u2227 (\u00ac(C \u2227 0)))\n((\u00ac0) \u2227 (D \u2227 1)) \u2227 ((\u00acC) \u2228 (\u00ac0))\n((\u00ac0) \u2227 (D \u2227 1)) \u2227 (\u00ac0)\n((\u00ac0) \u2227 (D \u2227 1)) \u2227 (\u00ac(0 \u2227 C))\n(((\u00ac0) \u2227 D) \u2227 1) \u2227 (\u00ac(C \u2227 0))\n((\u00ac0) \u2227 D) \u2227 (\u00ac(C \u2227 0))\n((\u00ac0) \u2227 (1 \u2227 D)) \u2227 (\u00ac(C \u2227 0))\n(1 \u2227 (D \u2227 1)) \u2227 (\u00ac(C \u2227 0))\nChosen: ((\u00ac0) \u2227 D) \u2227 (\u00ac(C \u2227 0))\n\nOptions:\n(\u00ac(C \u2227 0)) \u2227 ((\u00ac0) \u2227 D)\n(\u00ac0) \u2227 (D \u2227 (\u00ac(C \u2227 0)))\n((\u00ac0) \u2227 D) \u2227 ((\u00acC) \u2228 (\u00ac0))\n((\u00ac0) \u2227 D) \u2227 (\u00ac0)\n((\u00ac0) \u2227 D) \u2227 (\u00ac(0 \u2227 C))\n(D \u2227 (\u00ac0)) \u2227 (\u00ac(C \u2227 0))\n(1 \u2227 D) \u2227 (\u00ac(C \u2227 0))\nChosen: ((\u00ac0) \u2227 D) \u2227 (\u00ac(0 \u2227 C))\n\nOptions:\n(\u00ac(0 \u2227 C)) \u2227 ((\u00ac0) \u2227 D)\n(\u00ac0) \u2227 (D \u2227 (\u00ac(0 \u2227 C)))\n((\u00ac0) \u2227 D) \u2227 ((\u00ac0) \u2228 (\u00acC))\n((\u00ac0) \u2227 D) \u2227 (\u00ac0)\n(D \u2227 (\u00ac0)) \u2227 (\u00ac(0 \u2227 C))\n(1 \u2227 D) \u2227 (\u00ac(0 \u2227 C))\nChosen: ((\u00ac0) \u2227 D) \u2227 (\u00ac0)\n\nOptions:\n(\u00ac0) \u2227 ((\u00ac0) \u2227 D)\n(\u00ac0) \u2227 (D \u2227 (\u00ac0))\n((\u00ac0) \u2227 D) \u2227 1\n(D \u2227 (\u00ac0)) \u2227 (\u00ac0)\n(1 \u2227 D) \u2227 (\u00ac0)\nChosen: (1 \u2227 D) \u2227 (\u00ac0)", "id": 1846}, {"char_len": 422, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 220, 15, 595, 12264, 101, 320, 83193, 7, 83193, 16, 1192, 7, 83193, 7, 83193, 16, 595, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 15, 1192, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 15, 340, 7, 83193, 7, 83193, 16, 595, 12264, 101, 320, 83193, 7, 15, 75078, 473, 1192, 16, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 1192, 7, 83193, 15, 8, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 39, 75078, 220, 15, 4489, 3883, 512, 16, 198, 7, 83193, 7, 39, 75078, 220, 15, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 83193, 39, 8, 12264, 101, 320, 83193, 15, 1192, 16, 12264, 101, 320, 83193, 15, 340, 16, 12264, 101, 320, 83193, 7, 15, 75078, 473, 1192, 1163, 8477, 25, 220, 16, 12264, 101, 320, 83193, 7, 15, 75078, 473, 4489, 3883, 512, 16, 198, 7, 83193, 7, 15, 75078, 473, 595, 12264, 101, 220, 16, 198, 16, 12264, 101, 1819, 83193, 15, 8, 12264, 101, 320, 83193, 39, 1192, 16, 12264, 101, 320, 83193, 15, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 239, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(\u00ac1)) \u2228 (\u00ac(H \u2227 0))\n\nOptions:\n(\u00ac(H \u2227 0)) \u2228 (\u00ac(\u00ac1))\n(\u00ac(\u00ac1)) \u2228 ((\u00acH) \u2228 (\u00ac0))\n(\u00ac(\u00ac1)) \u2228 (\u00ac0)\n(\u00ac(\u00ac1)) \u2228 (\u00ac(0 \u2227 H))\n1 \u2228 (\u00ac(H \u2227 0))\n(\u00ac0) \u2228 (\u00ac(H \u2227 0))\nChosen: 1 \u2228 (\u00ac(H \u2227 0))\n\nOptions:\n1\n(\u00ac(H \u2227 0)) \u2228 1\n1 \u2228 ((\u00acH) \u2228 (\u00ac0))\n1 \u2228 (\u00ac0)\n1 \u2228 (\u00ac(0 \u2227 H))\nChosen: 1 \u2228 (\u00ac(0 \u2227 H))\n\nOptions:\n1\n(\u00ac(0 \u2227 H)) \u2228 1\n1 \u2228 ((\u00ac0) \u2228 (\u00acH))\n1 \u2228 (\u00ac0)\nChosen: 1", "id": 1847}, {"char_len": 431, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 97265, 1209, 39, 75078, 473, 8, 12264, 101, 320, 32, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 7, 39, 75078, 473, 595, 75078, 320, 83193, 7, 32, 75078, 220, 15, 1192, 83193, 1209, 32, 75078, 220, 15, 8, 12264, 101, 320, 39, 75078, 473, 1192, 83193, 6774, 39, 75078, 473, 8, 12264, 101, 362, 8, 75078, 1819, 39, 75078, 473, 8, 12264, 101, 220, 15, 1192, 83193, 1209, 39, 75078, 473, 8, 12264, 101, 220, 15, 340, 83193, 1209, 39, 75078, 473, 8, 12264, 101, 320, 15, 75078, 362, 1192, 83193, 7, 39, 12264, 101, 320, 32, 75078, 220, 15, 1192, 1163, 8477, 25, 97265, 7, 39, 12264, 101, 320, 32, 75078, 220, 15, 4489, 3883, 512, 7, 83193, 39, 8, 75078, 320, 83193, 7, 32, 75078, 220, 15, 1192, 83193, 1209, 32, 75078, 220, 15, 8, 12264, 101, 473, 340, 83193, 1209, 39, 12264, 101, 362, 8, 75078, 320, 39, 12264, 101, 220, 15, 1192, 83193, 7, 39, 12264, 101, 220, 15, 340, 83193, 7, 39, 12264, 101, 320, 15, 75078, 362, 1192, 1163, 8477, 25, 97265, 7, 39, 12264, 101, 220, 15, 696, 3883, 512, 7, 83193, 39, 8, 75078, 320, 83193, 15, 340, 83193, 39, 198, 83193, 7, 15, 12264, 101, 473, 340, 1163, 8477, 25, 97265, 39], "tokenizer": "cl100k_base", "tokens_len": 230, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: \u00ac((H \u2227 H) \u2228 (A \u2227 0))\n\nOptions:\n(\u00ac(H \u2227 H)) \u2227 (\u00ac(A \u2227 0))\n\u00ac((A \u2227 0) \u2228 (H \u2227 H))\n\u00ac(((H \u2227 H) \u2228 A) \u2227 ((H \u2227 H) \u2228 0))\n\u00ac((H \u2227 H) \u2228 0)\n\u00ac((H \u2227 H) \u2228 (0 \u2227 A))\n\u00ac(H \u2228 (A \u2227 0))\nChosen: \u00ac(H \u2228 (A \u2227 0))\n\nOptions:\n(\u00acH) \u2227 (\u00ac(A \u2227 0))\n\u00ac((A \u2227 0) \u2228 H)\n\u00ac((H \u2228 A) \u2227 (H \u2228 0))\n\u00ac(H \u2228 0)\n\u00ac(H \u2228 (0 \u2227 A))\nChosen: \u00ac(H \u2228 0)\n\nOptions:\n(\u00acH) \u2227 (\u00ac0)\n\u00acH\n\u00ac(0 \u2228 H)\nChosen: \u00acH", "id": 1848}, {"char_len": 1167, "tokens": [39314, 374, 264, 2777, 7645, 13, 23548, 433, 527, 5897, 14951, 7607, 315, 430, 7645, 382, 18902, 25, 320, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 4489, 3883, 512, 1209, 54, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 595, 12264, 101, 320, 83193, 7, 54, 75078, 220, 15, 1192, 1209, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 54, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 220, 15, 8, 75078, 320, 54, 12264, 101, 220, 16, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 11861, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 15, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 320, 15, 12264, 101, 220, 16, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 468, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 15, 8, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 320, 16, 12264, 101, 220, 15, 1192, 1163, 8477, 25, 320, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 1209, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 7, 54, 75078, 220, 15, 1192, 1209, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 54, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 220, 16, 340, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 54, 12264, 101, 220, 16, 340, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 320, 54, 12264, 101, 220, 16, 1192, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 83193, 7, 54, 75078, 220, 15, 595, 12264, 101, 1819, 16, 12264, 101, 468, 8, 75078, 220, 16, 340, 1209, 83193, 54, 8, 12264, 101, 320, 83193, 15, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 7, 83193, 7, 15, 75078, 468, 595, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 696, 3883, 512, 1209, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 15, 8, 12264, 101, 320, 54, 12264, 101, 220, 16, 595, 75078, 1819, 83193, 15, 8, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 54, 12264, 101, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 320, 16, 75078, 320, 54, 12264, 101, 220, 16, 1192, 7, 83193, 15, 8, 12264, 101, 320, 16, 75078, 220, 16, 340, 7, 83193, 15, 8, 12264, 101, 1819, 16, 12264, 101, 468, 8, 75078, 220, 16, 340, 16, 12264, 101, 1819, 54, 12264, 101, 220, 16, 8, 75078, 220, 16, 340, 1163, 8477, 25, 320, 83193, 15, 8, 12264, 101, 320, 54, 12264, 101, 220, 16, 696, 3883, 512, 14358, 12264, 101, 220, 16, 8, 12264, 101, 320, 83193, 15, 340, 1209, 83193, 15, 8, 12264, 101, 468, 8, 12264, 101, 220, 16, 198, 7, 83193, 15, 8, 12264, 101, 220, 16, 198, 7, 83193, 15, 8, 12264, 101, 320, 16, 12264, 101, 468, 340, 16, 12264, 101, 320, 54, 12264, 101, 220, 16, 340, 1163, 8477, 25, 220, 16, 12264, 101, 320, 54, 12264, 101, 220, 16, 696, 3883, 512, 16, 198, 14358, 12264, 101, 220, 16, 8, 12264, 101, 220, 16, 198, 7, 16, 12264, 101, 468, 8, 12264, 101, 220, 16, 198, 16, 12264, 101, 220, 16, 198, 16, 12264, 101, 320, 16, 12264, 101, 468, 340, 1163, 8477, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 804, "data_type": "boolean", "txt": "Below is a boolean expression. Following it are legal manipulations of that expression.\n\nOriginal: (\u00ac(W \u2227 0)) \u2228 ((W \u2228 1) \u2227 (1 \u2228 0))\n\nOptions:\n((W \u2228 1) \u2227 (1 \u2228 0)) \u2228 (\u00ac(W \u2227 0))\n((\u00ac(W \u2227 0)) \u2228 (W \u2228 1)) \u2227 ((\u00ac(W \u2227 0)) \u2228 (1 \u2228 0))\n(\u00ac(W \u2227 0)) \u2228 ((1 \u2228 0) \u2227 (W \u2228 1))\n(\u00ac(W \u2227 0)) \u2228 (((W \u2228 1) \u2227 1) \u2228 ((W \u2228 1) \u2227 0))\n(\u00ac(W \u2227 0)) \u2228 ((W \u2228 1) \u2227 1)\n(\u00ac(W \u2227 0)) \u2228 ((W \u2228 1) \u2227 (0 \u2228 1))\n(\u00ac(W \u2227 0)) \u2228 (1 \u2227 (1 \u2228 0))\n(\u00ac(W \u2227 0)) \u2228 ((1 \u2228 W) \u2227 (1 \u2228 0))\n((\u00acW) \u2228 (\u00ac0)) \u2228 ((W \u2228 1) \u2227 (1 \u2228 0))\n(\u00ac0) \u2228 ((W \u2228 1) \u2227 (1 \u2228 0))\n(\u00ac(0 \u2227 W)) \u2228 ((W \u2228 1) \u2227 (1 \u2228 0))\nChosen: (\u00ac(W \u2227 0)) \u2228 ((W \u2228 1) \u2227 1)\n\nOptions:\n((W \u2228 1) \u2227 1) \u2228 (\u00ac(W \u2227 0))\n((\u00ac(W \u2227 0)) \u2228 (W \u2228 1)) \u2227 ((\u00ac(W \u2227 0)) \u2228 1)\n(\u00ac(W \u2227 0)) \u2228 (W \u2228 1)\n(\u00ac(W \u2227 0)) \u2228 (1 \u2227 (W \u2228 1))\n(\u00ac(W \u2227 0)) \u2228 (1 \u2227 1)\n(\u00ac(W \u2227 0)) \u2228 ((1 \u2228 W) \u2227 1)\n((\u00acW) \u2228 (\u00ac0)) \u2228 ((W \u2228 1) \u2227 1)\n(\u00ac0) \u2228 ((W \u2228 1) \u2227 1)\n(\u00ac(0 \u2227 W)) \u2228 ((W \u2228 1) \u2227 1)\nChosen: (\u00ac0) \u2228 ((W \u2228 1) \u2227 1)\n\nOptions:\n((W \u2228 1) \u2227 1) \u2228 (\u00ac0)\n((\u00ac0) \u2228 (W \u2228 1)) \u2227 ((\u00ac0) \u2228 1)\n(\u00ac0) \u2228 (W \u2228 1)\n(\u00ac0) \u2228 (1 \u2227 (W \u2228 1))\n(\u00ac0) \u2228 (1 \u2227 1)\n(\u00ac0) \u2228 ((1 \u2228 W) \u2227 1)\n1 \u2228 ((W \u2228 1) \u2227 1)\nChosen: (\u00ac0) \u2228 (W \u2228 1)\n\nOptions:\n(W \u2228 1) \u2228 (\u00ac0)\n((\u00ac0) \u2228 W) \u2228 1\n(\u00ac0) \u2228 1\n(\u00ac0) \u2228 (1 \u2228 W)\n1 \u2228 (W \u2228 1)\nChosen: 1 \u2228 (W \u2228 1)\n\nOptions:\n1\n(W \u2228 1) \u2228 1\n(1 \u2228 W) \u2228 1\n1 \u2228 1\n1 \u2228 (1 \u2228 W)\nChosen: 1", "id": 1849}, {"char_len": 137, "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, 806, 11, 2970, 11, 1490, 198, 8724, 44, 25, 220, 3192, 508], "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: 11,58,80\nLCM: 25520", "id": 1850}, {"char_len": 35, "tokens": [845, 262, 220, 24, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 8929], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "16 9\n These numbers' LCM is: 144", "id": 1851}, {"char_len": 38, "tokens": [35, 25296, 279, 445, 10190, 271, 868, 271, 975, 198, 791, 445, 10190, 25, 220, 8848], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n15\n\n14\nThe LCM: 210", "id": 1852}, {"char_len": 49, "tokens": [35, 25296, 279, 445, 10190, 271, 972, 3929, 220, 2137, 3929, 220, 1490, 198, 791, 445, 10190, 25, 220, 25612, 15], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n18 --> 39 --> 80\nThe LCM: 9360", "id": 1853}, {"char_len": 53, "tokens": [28336, 25, 220, 23, 11, 777, 11, 845, 11, 2983, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 24495, 19], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 8,19,16,42\nLeast Common Multiple (LCM): 6384", "id": 1854}, {"char_len": 62, "tokens": [28336, 25, 220, 972, 674, 220, 1272, 674, 220, 4103, 674, 220, 2148, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 9591, 13837], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 18 # 40 # 52 # 31\nLeast Common Multiple (LCM): 145080", "id": 1855}, {"char_len": 28, "tokens": [28336, 25, 220, 1114, 220, 220, 17, 220, 220, 2397, 198, 8724, 44, 25, 220, 12425, 15], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 17 2 65\nLCM: 2210", "id": 1856}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 1927, 201, 914, 198, 8724, 44, 25, 220, 7467], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 36\r25\nLCM: 900", "id": 1857}, {"char_len": 37, "tokens": [35, 25296, 279, 445, 10190, 271, 1644, 765, 220, 17, 198, 791, 445, 10190, 25, 220, 2287], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n33 | 2\nThe LCM: 66", "id": 1858}, {"char_len": 46, "tokens": [35, 25296, 279, 445, 10190, 271, 3971, 405, 19, 405, 868, 405, 1114, 198, 791, 445, 10190, 25, 220, 4278, 15], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n51->4->15->17\nThe LCM: 1020", "id": 1859}, {"char_len": 136, "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, 1114, 11, 220, 975, 11, 220, 22, 198, 8724, 44, 25, 220, 13895], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 17, 14, 7\nLCM: 238", "id": 1860}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 22, 765, 220, 806, 198, 8724, 44, 25, 220, 2813], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 7 | 11\nLCM: 77", "id": 1861}, {"char_len": 46, "tokens": [28336, 25, 220, 1313, 197, 2096, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 2096], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 22\t44\nLeast Common Multiple (LCM): 44", "id": 1862}, {"char_len": 79, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 24, 765, 220, 914, 1432, 8724, 44, 25, 11057], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n9 | 25\n\n\nLCM:225", "id": 1863}, {"char_len": 41, "tokens": [28336, 25, 220, 972, 11, 220, 21, 11, 220, 2137, 11, 220, 972, 11, 220, 717, 11, 220, 2031, 198, 8724, 44, 25, 220, 9892, 1490], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 18, 6, 39, 18, 12, 70\nLCM: 16380", "id": 1864}, {"char_len": 53, "tokens": [35, 25296, 279, 87179, 25, 220, 1591, 1174, 220, 1682, 198, 82916, 4279, 5361, 271, 19270], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 28 , 29\nLeast common multiple\n\n812", "id": 1865}, {"char_len": 23, "tokens": [28336, 25, 220, 1806, 198, 975, 198, 8724, 44, 25, 220, 21312], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 37\n14\nLCM: 518", "id": 1866}, {"char_len": 96, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 6028, 220, 1114, 220, 1644, 220, 1419, 220, 777, 220, 2983, 1432, 8724, 44, 25, 14052, 22347, 24824], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n71 17 33 23 19 42\n\n\nLCM:243686058", "id": 1867}, {"char_len": 24, "tokens": [4370, 91, 1682, 198, 50828, 445, 10190, 374, 25, 220, 10132, 21], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "54|29\ntheir LCM is: 1566", "id": 1868}, {"char_len": 29, "tokens": [10086, 279, 445, 10190, 25, 220, 1032, 11, 220, 1419, 198, 8724, 44, 25, 220, 15531], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 13, 23\nLCM: 299", "id": 1869}, {"char_len": 34, "tokens": [21, 262, 220, 5332, 262, 220, 23, 262, 220, 24, 198, 50828, 445, 10190, 374, 25, 220, 5332], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "6 72 8 9\ntheir LCM is: 72", "id": 1870}, {"char_len": 29, "tokens": [3990, 279, 87179, 18, 405, 975, 405, 24, 198, 75, 6358, 25, 220, 9390], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm3->14->9\nlcm: 126", "id": 1871}, {"char_len": 38, "tokens": [2491, 220, 220, 22, 220, 220, 4578, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 21299, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "49 7 89\n These numbers' LCM is: 4361", "id": 1872}, {"char_len": 30, "tokens": [10086, 279, 445, 10190, 25, 220, 3487, 405, 2970, 198, 8724, 44, 25, 220, 10674, 19], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 56->58\nLCM: 1624", "id": 1873}, {"char_len": 81, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1774, 11, 220, 1114, 271, 16533, 25, 220, 22240], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n45, 17\n\nAnswer: 765", "id": 1874}, {"char_len": 78, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 777, 198, 17, 271, 16533, 25, 220, 1987], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n19\n2\n\nAnswer: 38", "id": 1875}, {"char_len": 77, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 975, 405, 20, 1432, 8724, 44, 25, 2031], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n14->5\n\n\nLCM:70", "id": 1876}, {"char_len": 29, "tokens": [20, 262, 220, 508, 262, 220, 18, 198, 50828, 445, 10190, 374, 25, 220, 1399], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "5 20 3\ntheir LCM is: 60", "id": 1877}, {"char_len": 29, "tokens": [3990, 279, 87179, 20, 198, 1032, 198, 1987, 198, 75, 6358, 25, 220, 14125, 15], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm5\n13\n38\nlcm: 2470", "id": 1878}, {"char_len": 42, "tokens": [35, 25296, 279, 445, 10190, 271, 22, 3929, 220, 9892, 198, 791, 445, 10190, 25, 220, 8011, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n7 --> 163\nThe LCM: 1141", "id": 1879}, {"char_len": 52, "tokens": [35, 25296, 279, 87179, 25, 220, 1544, 198, 2491, 198, 82916, 4279, 5361, 271, 9413, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 27\n49\nLeast common multiple\n\n1323", "id": 1880}, {"char_len": 59, "tokens": [28336, 25, 220, 6549, 3929, 220, 868, 3929, 220, 605, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 11711], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 125 --> 15 --> 10\nLeast Common Multiple (LCM): 750", "id": 1881}, {"char_len": 81, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 717, 674, 220, 508, 271, 16533, 25, 220, 1399], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n12 # 20\n\nAnswer: 60", "id": 1882}, {"char_len": 77, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 914, 201, 24, 1432, 8724, 44, 25, 11057], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n25\r9\n\n\nLCM:225", "id": 1883}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1682, 201, 717, 198, 75, 6358, 25, 220, 19746], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 29\r12\nlcm: 348", "id": 1884}, {"char_len": 37, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 966, 674, 220, 5547, 198, 75, 6358, 25, 220, 10750, 15], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 30 # 61\nlcm: 1830", "id": 1885}, {"char_len": 24, "tokens": [972, 11, 220, 1758, 198, 50828, 445, 10190, 374, 25, 220, 18660], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "18, 35\ntheir LCM is: 630", "id": 1886}, {"char_len": 88, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 966, 765, 220, 1272, 765, 220, 1627, 271, 16533, 25, 220, 10132, 15], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n30 | 40 | 26\n\nAnswer: 1560", "id": 1887}, {"char_len": 46, "tokens": [28336, 25, 220, 24, 1174, 220, 20, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 1774], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 9 , 5\nLeast Common Multiple (LCM): 45", "id": 1888}, {"char_len": 34, "tokens": [4044, 11, 23, 11, 23, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 23578], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "87,8,8\n These numbers' LCM is: 696", "id": 1889}, {"char_len": 21, "tokens": [20, 11, 220, 22, 198, 50828, 445, 10190, 374, 25, 220, 1758], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "5, 7\ntheir LCM is: 35", "id": 1890}, {"char_len": 134, "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, 21, 3929, 220, 1591, 198, 8724, 44, 25, 220, 5833], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 6 --> 28\nLCM: 84", "id": 1891}, {"char_len": 140, "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, 605, 11, 1187, 11, 1627, 11, 1958, 198, 8724, 44, 25, 220, 14374, 508], "tokenizer": "cl100k_base", "tokens_len": 39, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 10,24,26,34\nLCM: 26520", "id": 1892}, {"char_len": 27, "tokens": [10086, 279, 445, 10190, 25, 220, 22, 91, 1313, 198, 8724, 44, 25, 220, 10559], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 7|22\nLCM: 154", "id": 1893}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1399, 271, 24, 198, 75, 6358, 25, 220, 5245], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 60\n\n9\nlcm: 180", "id": 1894}, {"char_len": 42, "tokens": [10086, 279, 445, 10190, 25, 220, 1691, 91, 20, 91, 1806, 91, 1114, 91, 1927, 91, 972, 198, 8724, 44, 25, 220, 24763, 17048], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 21|5|37|17|36|18\nLCM: 792540", "id": 1895}, {"char_len": 131, "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, 24, 197, 1806, 198, 8724, 44, 25, 220, 8765], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 9\t37\nLCM: 333", "id": 1896}, {"char_len": 21, "tokens": [28336, 25, 220, 19, 201, 1958, 198, 8724, 44, 25, 220, 2614], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 4\r34\nLCM: 68", "id": 1897}, {"char_len": 49, "tokens": [28336, 25, 220, 717, 262, 220, 845, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 2166], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 12 16\nLeast Common Multiple (LCM): 48", "id": 1898}, {"char_len": 20, "tokens": [28336, 25, 220, 21, 197, 20, 198, 8724, 44, 25, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 6\t5\nLCM: 30", "id": 1899}, {"char_len": 23, "tokens": [28336, 25, 220, 1114, 220, 220, 23, 198, 8724, 44, 25, 220, 9795], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 17 8\nLCM: 136", "id": 1900}, {"char_len": 76, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 18, 198, 972, 1432, 8724, 44, 25, 972], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n3\n18\n\n\nLCM:18", "id": 1901}, {"char_len": 87, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 22, 3929, 220, 845, 3929, 220, 20, 1432, 8724, 44, 25, 17698], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n7 --> 16 --> 5\n\n\nLCM:560", "id": 1902}, {"char_len": 24, "tokens": [28336, 25, 220, 717, 220, 220, 1627, 198, 8724, 44, 25, 220, 10132], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 12 26\nLCM: 156", "id": 1903}, {"char_len": 22, "tokens": [28336, 25, 220, 21, 91, 4103, 198, 8724, 44, 25, 220, 10132], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 6|52\nLCM: 156", "id": 1904}, {"char_len": 39, "tokens": [35, 25296, 279, 445, 10190, 271, 4218, 262, 220, 23, 198, 791, 445, 10190, 25, 220, 17451], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n86 8\nThe LCM: 344", "id": 1905}, {"char_len": 33, "tokens": [10086, 279, 445, 10190, 25, 220, 24, 674, 220, 1272, 674, 220, 21, 198, 8724, 44, 25, 220, 6843], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 9 # 40 # 6\nLCM: 360", "id": 1906}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 1627, 91, 605, 198, 8724, 44, 25, 220, 5894], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 26|10\nLCM: 130", "id": 1907}, {"char_len": 39, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 18, 11, 220, 2970, 11, 220, 1032, 198, 75, 6358, 25, 220, 14057, 17], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 3, 58, 13\nlcm: 2262", "id": 1908}, {"char_len": 40, "tokens": [35, 25296, 279, 445, 10190, 271, 18, 201, 1114, 201, 1682, 198, 791, 445, 10190, 25, 220, 10288, 24], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n3\r17\r29\nThe LCM: 1479", "id": 1909}, {"char_len": 48, "tokens": [28336, 25, 220, 806, 271, 1958, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 18265], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 11\n\n34\nLeast Common Multiple (LCM): 374", "id": 1910}, {"char_len": 50, "tokens": [28336, 25, 220, 20, 11, 220, 966, 11, 220, 508, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 1399], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 5, 30, 20\nLeast Common Multiple (LCM): 60", "id": 1911}, {"char_len": 29, "tokens": [3990, 279, 87179, 1419, 765, 220, 2075, 198, 75, 6358, 25, 220, 10861, 20], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm23 | 75\nlcm: 1725", "id": 1912}, {"char_len": 34, "tokens": [35, 25296, 279, 445, 10190, 271, 18, 197, 23, 198, 791, 445, 10190, 25, 220, 1187], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n3\t8\nThe LCM: 24", "id": 1913}, {"char_len": 23, "tokens": [972, 271, 1927, 198, 50828, 445, 10190, 374, 25, 220, 1927], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "18\n\n36\ntheir LCM is: 36", "id": 1914}, {"char_len": 86, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 843, 220, 220, 1758, 220, 220, 21, 220, 220, 21, 1432, 8724, 44, 25, 17014, 15], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n32 35 6 6\n\n\nLCM:3360", "id": 1915}, {"char_len": 131, "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, 23, 220, 1032, 198, 8724, 44, 25, 220, 6849], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 8 13\nLCM: 104", "id": 1916}, {"char_len": 55, "tokens": [35, 25296, 279, 87179, 25, 220, 1682, 3929, 220, 1313, 198, 82916, 4279, 5361, 271, 24495], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 29 --> 22\nLeast common multiple\n\n638", "id": 1917}, {"char_len": 22, "tokens": [28336, 25, 220, 1774, 11, 220, 24, 198, 8724, 44, 25, 220, 1774], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 45, 9\nLCM: 45", "id": 1918}, {"char_len": 57, "tokens": [35, 25296, 279, 87179, 25, 220, 18, 674, 220, 845, 674, 220, 605, 198, 82916, 4279, 5361, 271, 8273], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 3 # 16 # 10\nLeast common multiple\n\n240", "id": 1919}, {"char_len": 27, "tokens": [10086, 279, 445, 10190, 25, 220, 868, 271, 17, 198, 8724, 44, 25, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 15\n\n2\nLCM: 30", "id": 1920}, {"char_len": 32, "tokens": [1544, 262, 220, 1806, 262, 220, 23, 198, 50828, 445, 10190, 374, 25, 220, 23987, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "27 37 8\ntheir LCM is: 7992", "id": 1921}, {"char_len": 30, "tokens": [10086, 279, 445, 10190, 25, 220, 22, 271, 18, 271, 23, 198, 8724, 44, 25, 220, 8953], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 7\n\n3\n\n8\nLCM: 168", "id": 1922}, {"char_len": 51, "tokens": [35, 25296, 279, 87179, 25, 220, 1032, 765, 220, 22, 198, 82916, 4279, 5361, 271, 5925], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 13 | 7\nLeast common multiple\n\n91", "id": 1923}, {"char_len": 46, "tokens": [28336, 25, 220, 17, 405, 3391, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 4218], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 2->43\nLeast Common Multiple (LCM): 86", "id": 1924}, {"char_len": 41, "tokens": [35, 25296, 279, 445, 10190, 271, 914, 201, 777, 201, 966, 198, 791, 445, 10190, 25, 220, 15935, 15], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n25\r19\r30\nThe LCM: 2850", "id": 1925}, {"char_len": 22, "tokens": [777, 197, 23, 198, 50828, 445, 10190, 374, 25, 220, 9756], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "19\t8\ntheir LCM is: 152", "id": 1926}, {"char_len": 78, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 23, 198, 23, 198, 1187, 1432, 8724, 44, 25, 1187], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n8\n8\n24\n\n\nLCM:24", "id": 1927}, {"char_len": 40, "tokens": [28336, 25, 220, 1958, 765, 220, 1806, 765, 220, 7699, 765, 220, 845, 198, 8724, 44, 25, 220, 7699, 24313, 23], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 34 | 37 | 107 | 16\nLCM: 1076848", "id": 1928}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 914, 405, 605, 198, 8724, 44, 25, 220, 1135], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 25->10\nLCM: 50", "id": 1929}, {"char_len": 88, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1032, 197, 1272, 197, 972, 197, 975, 271, 16533, 25, 220, 13817, 1399], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n13\t40\t18\t14\n\nAnswer: 32760", "id": 1930}, {"char_len": 26, "tokens": [10086, 279, 445, 10190, 25, 220, 20, 201, 806, 198, 8724, 44, 25, 220, 2131], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 5\r11\nLCM: 55", "id": 1931}, {"char_len": 132, "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, 1032, 198, 868, 198, 8724, 44, 25, 220, 6280], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 13\n15\nLCM: 195", "id": 1932}, {"char_len": 22, "tokens": [28336, 25, 220, 717, 91, 845, 198, 8724, 44, 25, 220, 2166], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 12|16\nLCM: 48", "id": 1933}, {"char_len": 51, "tokens": [35, 25296, 279, 87179, 25, 220, 1758, 201, 717, 198, 82916, 4279, 5361, 271, 12819], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 35\r12\nLeast common multiple\n\n420", "id": 1934}, {"char_len": 81, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1114, 220, 220, 972, 271, 16533, 25, 220, 12879], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n17 18\n\nAnswer: 306", "id": 1935}, {"char_len": 23, "tokens": [28336, 25, 220, 22, 11, 220, 5958, 198, 8724, 44, 25, 220, 18625], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 7, 73\nLCM: 511", "id": 1936}, {"char_len": 45, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 18, 201, 777, 201, 868, 201, 966, 201, 7743, 198, 75, 6358, 25, 220, 22488, 966], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 3\r19\r15\r30\r109\nlcm: 62130", "id": 1937}, {"char_len": 134, "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, 1272, 674, 220, 777, 198, 8724, 44, 25, 220, 19104], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 40 # 19\nLCM: 760", "id": 1938}, {"char_len": 85, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1419, 11, 220, 1806, 11, 220, 21, 271, 16533, 25, 220, 15633, 21], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n23, 37, 6\n\nAnswer: 5106", "id": 1939}, {"char_len": 37, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 508, 220, 2397, 220, 22, 198, 75, 6358, 25, 220, 10828, 15], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 20 65 7\nlcm: 1820", "id": 1940}, {"char_len": 32, "tokens": [10086, 279, 445, 10190, 25, 220, 2397, 11, 806, 11, 2137, 198, 8724, 44, 25, 220, 11584, 20], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 65,11,39\nLCM: 2145", "id": 1941}, {"char_len": 49, "tokens": [28336, 25, 220, 6028, 220, 220, 2495, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 22663, 23], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 71 78\nLeast Common Multiple (LCM): 5538", "id": 1942}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 19, 220, 220, 806, 220, 220, 975, 1432, 8724, 44, 25, 14498], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n4 11 14\n\n\nLCM:308", "id": 1943}, {"char_len": 29, "tokens": [28336, 25, 220, 1691, 405, 777, 405, 1313, 198, 8724, 44, 25, 220, 23873, 23], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 21->19->22\nLCM: 8778", "id": 1944}, {"char_len": 27, "tokens": [5728, 11, 23, 11, 4331, 198, 50828, 445, 10190, 374, 25, 220, 10132, 2421], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "74,8,53\ntheir LCM is: 15688", "id": 1945}, {"char_len": 48, "tokens": [10086, 279, 445, 10190, 25, 220, 972, 3929, 220, 3174, 3929, 220, 605, 3929, 220, 1544, 198, 8724, 44, 25, 220, 5120, 2031], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 18 --> 41 --> 10 --> 27\nLCM: 11070", "id": 1946}, {"char_len": 37, "tokens": [35, 25296, 279, 445, 10190, 271, 1313, 11, 605, 198, 791, 445, 10190, 25, 220, 5120], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n22,10\nThe LCM: 110", "id": 1947}, {"char_len": 46, "tokens": [28336, 25, 220, 17, 220, 220, 508, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 508], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 2 20\nLeast Common Multiple (LCM): 20", "id": 1948}, {"char_len": 31, "tokens": [10086, 279, 445, 10190, 25, 220, 1644, 262, 220, 1627, 198, 8724, 44, 25, 220, 23805], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 33 26\nLCM: 858", "id": 1949}, {"char_len": 83, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1419, 262, 220, 1806, 271, 16533, 25, 220, 24866], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n23 37\n\nAnswer: 851", "id": 1950}, {"char_len": 33, "tokens": [10086, 279, 445, 10190, 25, 220, 19, 1174, 220, 1227, 1174, 220, 22, 198, 8724, 44, 25, 220, 19956], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 4 , 64 , 7\nLCM: 448", "id": 1951}, {"char_len": 21, "tokens": [28336, 25, 220, 845, 201, 17, 198, 8724, 44, 25, 220, 845], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 16\r2\nLCM: 16", "id": 1952}, {"char_len": 42, "tokens": [35, 25296, 279, 445, 10190, 271, 972, 198, 843, 198, 5547, 198, 791, 445, 10190, 25, 220, 10005, 2614], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n18\n32\n61\nThe LCM: 17568", "id": 1953}, {"char_len": 46, "tokens": [28336, 25, 220, 18, 11, 220, 845, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 2166], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 3, 16\nLeast Common Multiple (LCM): 48", "id": 1954}, {"char_len": 28, "tokens": [20, 11, 220, 6086, 11, 220, 717, 198, 50828, 445, 10190, 374, 25, 220, 14205, 15], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "5, 82, 12\ntheir LCM is: 2460", "id": 1955}, {"char_len": 38, "tokens": [35, 25296, 279, 445, 10190, 271, 777, 262, 220, 18, 198, 791, 445, 10190, 25, 220, 3226], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n19 3\nThe LCM: 57", "id": 1956}, {"char_len": 34, "tokens": [3391, 765, 220, 24, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 20062], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "43 | 9\n These numbers' LCM is: 387", "id": 1957}, {"char_len": 63, "tokens": [28336, 25, 220, 845, 3929, 220, 17, 3929, 220, 868, 3929, 220, 21, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 8273], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 16 --> 2 --> 15 --> 6\nLeast Common Multiple (LCM): 240", "id": 1958}, {"char_len": 133, "tokens": [791, 445, 10190, 320, 82916, 7874, 29911, 8, 374, 279, 25655, 1396, 8649, 1855, 315, 279, 2768, 5219, 439, 3512, 42314, 13, 35813, 25, 220, 1758, 405, 2397, 198, 8724, 44, 25, 220, 20325], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 35->65\nLCM: 455", "id": 1959}, {"char_len": 132, "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, 22, 11, 220, 845, 198, 8724, 44, 25, 220, 7261], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 7, 16\nLCM: 112", "id": 1960}, {"char_len": 27, "tokens": [3990, 279, 87179, 1691, 11, 220, 806, 198, 75, 6358, 25, 220, 12245], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm21, 11\nlcm: 231", "id": 1961}, {"char_len": 19, "tokens": [17, 198, 17, 198, 50828, 445, 10190, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "2\n2\ntheir LCM is: 2", "id": 1962}, {"char_len": 33, "tokens": [23, 271, 868, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 4364], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "8\n\n15\n These numbers' LCM is: 120", "id": 1963}, {"char_len": 22, "tokens": [28336, 25, 220, 21, 405, 868, 198, 8724, 44, 25, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 6->15\nLCM: 30", "id": 1964}, {"char_len": 31, "tokens": [10086, 279, 445, 10190, 25, 220, 868, 3929, 220, 22, 198, 8724, 44, 25, 220, 6550], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 15 --> 7\nLCM: 105", "id": 1965}, {"char_len": 78, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 845, 11, 19, 271, 16533, 25, 220, 845], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n16,4\n\nAnswer: 16", "id": 1966}, {"char_len": 67, "tokens": [35, 25296, 279, 87179, 25, 220, 2096, 220, 220, 1313, 220, 220, 508, 220, 220, 508, 220, 220, 845, 220, 220, 19, 198, 82916, 4279, 5361, 271, 19272], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 44 22 20 20 16 4\nLeast common multiple\n\n880", "id": 1967}, {"char_len": 38, "tokens": [35, 25296, 279, 445, 10190, 271, 19, 674, 220, 3174, 198, 791, 445, 10190, 25, 220, 10513], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n4 # 41\nThe LCM: 164", "id": 1968}, {"char_len": 32, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1644, 201, 24, 198, 75, 6358, 25, 220, 1484], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 33\r9\nlcm: 99", "id": 1969}, {"char_len": 44, "tokens": [1114, 91, 717, 91, 24, 91, 2813, 91, 868, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 12422, 17416], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "17|12|9|77|15\n These numbers' LCM is: 235620", "id": 1970}, {"char_len": 94, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 19, 262, 220, 605, 262, 220, 1591, 262, 220, 24, 271, 16533, 25, 220, 9390, 15], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n4 10 28 9\n\nAnswer: 1260", "id": 1971}, {"char_len": 27, "tokens": [24, 91, 20, 91, 966, 91, 1187, 198, 50828, 445, 10190, 374, 25, 220, 6843], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "9|5|30|24\ntheir LCM is: 360", "id": 1972}, {"char_len": 31, "tokens": [19, 405, 1691, 405, 1644, 405, 1313, 198, 50828, 445, 10190, 374, 25, 220, 23890], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "4->21->33->22\ntheir LCM is: 924", "id": 1973}, {"char_len": 92, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 7743, 11, 220, 23, 11, 220, 20, 11, 220, 806, 11, 220, 22, 1432, 8724, 44, 25, 16596, 13104], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n109, 8, 5, 11, 7\n\n\nLCM:335720", "id": 1974}, {"char_len": 27, "tokens": [10086, 279, 445, 10190, 25, 220, 5547, 197, 20, 198, 8724, 44, 25, 220, 13364], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 61\t5\nLCM: 305", "id": 1975}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1032, 91, 914, 198, 75, 6358, 25, 220, 15257], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 13|25\nlcm: 325", "id": 1976}, {"char_len": 81, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1187, 11, 220, 2983, 271, 16533, 25, 220, 8953], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n24, 42\n\nAnswer: 168", "id": 1977}, {"char_len": 25, "tokens": [10086, 279, 445, 10190, 25, 220, 17, 91, 22, 198, 8724, 44, 25, 220, 975], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 2|7\nLCM: 14", "id": 1978}, {"char_len": 46, "tokens": [28336, 25, 220, 18, 271, 508, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 1399], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 3\n\n20\nLeast Common Multiple (LCM): 60", "id": 1979}, {"char_len": 30, "tokens": [10086, 279, 445, 10190, 25, 220, 1114, 220, 220, 19, 220, 220, 19, 198, 8724, 44, 25, 220, 2614], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 17 4 4\nLCM: 68", "id": 1980}, {"char_len": 23, "tokens": [605, 198, 2813, 198, 50828, 445, 10190, 374, 25, 220, 20772], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "10\n77\ntheir LCM is: 770", "id": 1981}, {"char_len": 29, "tokens": [28336, 25, 220, 605, 405, 806, 405, 1927, 198, 8724, 44, 25, 220, 3753, 15], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 10->11->36\nLCM: 1980", "id": 1982}, {"char_len": 48, "tokens": [28336, 25, 220, 1644, 11, 220, 1032, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 16371], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 33, 13\nLeast Common Multiple (LCM): 429", "id": 1983}, {"char_len": 139, "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, 1313, 271, 21, 271, 972, 271, 20, 198, 8724, 44, 25, 220, 19146], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 22\n\n6\n\n18\n\n5\nLCM: 990", "id": 1984}, {"char_len": 25, "tokens": [3990, 279, 87179, 22, 197, 777, 198, 75, 6358, 25, 220, 9423], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm7\t19\nlcm: 133", "id": 1985}, {"char_len": 27, "tokens": [3990, 279, 87179, 508, 405, 4103, 198, 75, 6358, 25, 220, 11387], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm20->52\nlcm: 260", "id": 1986}, {"char_len": 40, "tokens": [3990, 279, 87179, 23, 197, 806, 197, 19, 197, 3971, 197, 1627, 197, 777, 198, 75, 6358, 25, 220, 5120, 25724, 21], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm8\t11\t4\t51\t26\t19\nlcm: 1108536", "id": 1987}, {"char_len": 37, "tokens": [35, 25296, 279, 445, 10190, 271, 806, 197, 6028, 198, 791, 445, 10190, 25, 220, 21893], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n11\t71\nThe LCM: 781", "id": 1988}, {"char_len": 31, "tokens": [10086, 279, 445, 10190, 25, 220, 22, 220, 220, 17, 220, 220, 777, 198, 8724, 44, 25, 220, 15999], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 7 2 19\nLCM: 266", "id": 1989}, {"char_len": 38, "tokens": [22, 262, 220, 24, 262, 220, 24, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 5495], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "7 9 9\n These numbers' LCM is: 63", "id": 1990}, {"char_len": 36, "tokens": [4643, 674, 220, 1032, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 4278, 22], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "79 # 13\n These numbers' LCM is: 1027", "id": 1991}, {"char_len": 25, "tokens": [28336, 25, 220, 2166, 405, 1682, 198, 8724, 44, 25, 220, 10125, 17], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 48->29\nLCM: 1392", "id": 1992}, {"char_len": 135, "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, 5547, 201, 19, 201, 806, 198, 8724, 44, 25, 220, 16332, 19], "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: 61\r4\r11\nLCM: 2684", "id": 1993}, {"char_len": 52, "tokens": [35, 25296, 279, 445, 10190, 271, 18, 405, 2096, 405, 21, 405, 4767, 405, 7699, 198, 791, 445, 10190, 25, 220, 16332, 18349], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n3->44->6->76->107\nThe LCM: 268356", "id": 1994}, {"char_len": 33, "tokens": [3990, 279, 87179, 3264, 11, 220, 3076, 11, 220, 806, 198, 75, 6358, 25, 220, 26260, 6086], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm98, 69, 11\nlcm: 74382", "id": 1995}, {"char_len": 54, "tokens": [35, 25296, 279, 87179, 25, 220, 1490, 674, 220, 1691, 198, 82916, 4279, 5361, 271, 8953, 15], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 80 # 21\nLeast common multiple\n\n1680", "id": 1996}, {"char_len": 29, "tokens": [10086, 279, 445, 10190, 25, 220, 2096, 91, 3971, 198, 8724, 44, 25, 220, 10697, 19], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 44|51\nLCM: 2244", "id": 1997}, {"char_len": 49, "tokens": [35, 25296, 279, 87179, 25, 220, 17, 198, 1114, 198, 82916, 4279, 5361, 271, 1958], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 2\n17\nLeast common multiple\n\n34", "id": 1998}, {"char_len": 39, "tokens": [35, 25296, 279, 445, 10190, 271, 17, 3929, 220, 1419, 198, 791, 445, 10190, 25, 220, 2790], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n2 --> 23\nThe LCM: 46", "id": 1999}, {"char_len": 35, "tokens": [4370, 197, 17, 197, 1399, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 17048], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "54\t2\t60\n These numbers' LCM is: 540", "id": 2000}, {"char_len": 25, "tokens": [1682, 220, 220, 2491, 198, 50828, 445, 10190, 374, 25, 220, 10239, 16], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "29 49\ntheir LCM is: 1421", "id": 2001}, {"char_len": 89, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 2946, 262, 220, 1313, 262, 220, 1627, 1432, 8724, 44, 25, 8953, 5728], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n59 22 26\n\n\nLCM:16874", "id": 2002}, {"char_len": 30, "tokens": [10086, 279, 445, 10190, 25, 220, 1591, 197, 508, 197, 21, 198, 8724, 44, 25, 220, 12819], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 28\t20\t6\nLCM: 420", "id": 2003}, {"char_len": 29, "tokens": [10086, 279, 445, 10190, 25, 220, 1691, 11, 220, 777, 198, 8724, 44, 25, 220, 18572], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 21, 19\nLCM: 399", "id": 2004}, {"char_len": 27, "tokens": [3990, 279, 87179, 2790, 11, 220, 777, 198, 75, 6358, 25, 220, 25822], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm46, 19\nlcm: 874", "id": 2005}, {"char_len": 27, "tokens": [28336, 25, 220, 605, 11, 220, 1419, 11, 220, 17, 198, 8724, 44, 25, 220, 9870], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 10, 23, 2\nLCM: 230", "id": 2006}, {"char_len": 40, "tokens": [10086, 279, 445, 10190, 25, 220, 1691, 3929, 220, 914, 3929, 220, 1927, 198, 8724, 44, 25, 220, 18660, 15], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 21 --> 25 --> 36\nLCM: 6300", "id": 2007}, {"char_len": 26, "tokens": [10086, 279, 445, 10190, 25, 220, 806, 198, 24, 198, 8724, 44, 25, 220, 1484], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 11\n9\nLCM: 99", "id": 2008}, {"char_len": 34, "tokens": [3990, 279, 87179, 972, 11, 220, 845, 11, 220, 17, 11, 220, 717, 198, 75, 6358, 25, 220, 8929], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm18, 16, 2, 12\nlcm: 144", "id": 2009}, {"char_len": 57, "tokens": [35, 25296, 279, 87179, 25, 220, 17, 674, 220, 1032, 674, 220, 1313, 198, 82916, 4279, 5361, 271, 17361], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 2 # 13 # 22\nLeast common multiple\n\n286", "id": 2010}, {"char_len": 28, "tokens": [28336, 25, 220, 21, 220, 19, 220, 23, 220, 972, 220, 972, 198, 8724, 44, 25, 220, 5332], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 6 4 8 18 18\nLCM: 72", "id": 2011}, {"char_len": 65, "tokens": [35, 25296, 279, 87179, 25, 220, 1758, 405, 1313, 405, 1544, 405, 19, 405, 508, 198, 82916, 4279, 5361, 271, 18136, 1490], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 35->22->27->4->20\nLeast common multiple\n\n41580", "id": 2012}, {"char_len": 41, "tokens": [35, 25296, 279, 445, 10190, 271, 1591, 271, 868, 271, 20, 198, 791, 445, 10190, 25, 220, 12819], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n28\n\n15\n\n5\nThe LCM: 420", "id": 2013}, {"char_len": 80, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1187, 201, 975, 201, 18, 1432, 8724, 44, 25, 8953], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n24\r14\r3\n\n\nLCM:168", "id": 2014}, {"char_len": 47, "tokens": [28336, 25, 220, 868, 271, 966, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 15\n\n30\nLeast Common Multiple (LCM): 30", "id": 2015}, {"char_len": 49, "tokens": [28336, 25, 220, 975, 1174, 220, 508, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 6860], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 14 , 20\nLeast Common Multiple (LCM): 140", "id": 2016}, {"char_len": 37, "tokens": [35, 25296, 279, 445, 10190, 271, 972, 271, 868, 198, 791, 445, 10190, 25, 220, 1954], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n18\n\n15\nThe LCM: 90", "id": 2017}, {"char_len": 28, "tokens": [28336, 25, 220, 1032, 220, 220, 1682, 220, 220, 23, 198, 8724, 44, 25, 220, 12405, 21], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 13 29 8\nLCM: 3016", "id": 2018}, {"char_len": 56, "tokens": [35, 25296, 279, 87179, 25, 220, 1591, 198, 2618, 198, 1419, 198, 82916, 4279, 5361, 271, 13121, 2614], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 28\n47\n23\nLeast common multiple\n\n30268", "id": 2019}, {"char_len": 27, "tokens": [3990, 279, 87179, 1644, 11, 220, 972, 198, 75, 6358, 25, 220, 3753], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm33, 18\nlcm: 198", "id": 2020}, {"char_len": 34, "tokens": [35, 25296, 279, 445, 10190, 271, 18, 197, 22, 198, 791, 445, 10190, 25, 220, 1691], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n3\t7\nThe LCM: 21", "id": 2021}, {"char_len": 132, "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, 4103, 220, 1987, 198, 8724, 44, 25, 220, 24538], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 52 38\nLCM: 988", "id": 2022}, {"char_len": 49, "tokens": [28336, 25, 220, 845, 1174, 220, 1691, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 17014], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 16 , 21\nLeast Common Multiple (LCM): 336", "id": 2023}, {"char_len": 33, "tokens": [10086, 279, 445, 10190, 25, 220, 17, 674, 220, 22, 674, 220, 868, 198, 8724, 44, 25, 220, 8848], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 2 # 7 # 15\nLCM: 210", "id": 2024}, {"char_len": 35, "tokens": [35, 25296, 279, 445, 10190, 271, 21, 220, 220, 19, 198, 791, 445, 10190, 25, 220, 717], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n6 4\nThe LCM: 12", "id": 2025}, {"char_len": 50, "tokens": [28336, 25, 220, 1627, 3929, 220, 20, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 5894], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 26 --> 5\nLeast Common Multiple (LCM): 130", "id": 2026}, {"char_len": 80, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1691, 1174, 220, 972, 1432, 8724, 44, 25, 9390], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n21 , 18\n\n\nLCM:126", "id": 2027}, {"char_len": 80, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 2148, 91, 975, 271, 16533, 25, 220, 20165], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n31|14\n\nAnswer: 434", "id": 2028}, {"char_len": 33, "tokens": [10086, 279, 445, 10190, 25, 220, 1691, 11, 220, 717, 11, 220, 845, 198, 8724, 44, 25, 220, 17014], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 21, 12, 16\nLCM: 336", "id": 2029}, {"char_len": 26, "tokens": [28336, 25, 220, 23, 3929, 220, 1644, 198, 8724, 44, 25, 220, 12815], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 8 --> 33\nLCM: 264", "id": 2030}, {"char_len": 87, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 2790, 198, 18, 198, 3226, 198, 1958, 271, 16533, 25, 220, 19697, 5728], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n46\n3\n57\n34\n\nAnswer: 44574", "id": 2031}, {"char_len": 30, "tokens": [1691, 198, 605, 198, 4578, 198, 20, 198, 50828, 445, 10190, 374, 25, 220, 9714, 1954], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "21\n10\n89\n5\ntheir LCM is: 18690", "id": 2032}, {"char_len": 39, "tokens": [35, 25296, 279, 445, 10190, 271, 1114, 91, 17, 91, 1187, 198, 791, 445, 10190, 25, 220, 18058], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n17|2|24\nThe LCM: 408", "id": 2033}, {"char_len": 33, "tokens": [10086, 279, 445, 10190, 25, 220, 1682, 405, 20, 405, 1032, 198, 8724, 44, 25, 220, 9367, 20], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 29->5->13\nLCM: 1885", "id": 2034}, {"char_len": 26, "tokens": [10086, 279, 445, 10190, 25, 220, 22, 11, 220, 21, 198, 8724, 44, 25, 220, 2983], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 7, 6\nLCM: 42", "id": 2035}, {"char_len": 27, "tokens": [3990, 279, 87179, 1774, 197, 1419, 198, 75, 6358, 25, 220, 6889, 20], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm45\t23\nlcm: 1035", "id": 2036}, {"char_len": 30, "tokens": [17, 11, 220, 18, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "2, 3\n These numbers' LCM is: 6", "id": 2037}, {"char_len": 40, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 605, 1174, 220, 605, 1174, 220, 1135, 198, 75, 6358, 25, 220, 1135], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 10 , 10 , 50\nlcm: 50", "id": 2038}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1682, 11, 220, 2137, 11, 220, 17, 1432, 8724, 44, 25, 14057, 17], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n29, 39, 2\n\n\nLCM:2262", "id": 2039}, {"char_len": 50, "tokens": [35, 25296, 279, 87179, 25, 220, 868, 11, 220, 18, 198, 82916, 4279, 5361, 271, 868], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 15, 3\nLeast common multiple\n\n15", "id": 2040}, {"char_len": 35, "tokens": [6083, 765, 220, 1187, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 21478], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "92 | 24\n These numbers' LCM is: 552", "id": 2041}, {"char_len": 34, "tokens": [3174, 11, 220, 1114, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 25388], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "41, 17\n These numbers' LCM is: 697", "id": 2042}, {"char_len": 25, "tokens": [21, 11, 220, 717, 11, 220, 17, 198, 50828, 445, 10190, 374, 25, 220, 717], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "6, 12, 2\ntheir LCM is: 12", "id": 2043}, {"char_len": 25, "tokens": [3990, 279, 87179, 23, 262, 220, 23, 198, 75, 6358, 25, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm8 8\nlcm: 8", "id": 2044}, {"char_len": 24, "tokens": [3990, 279, 87179, 21, 11, 220, 19, 198, 75, 6358, 25, 220, 717], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm6, 4\nlcm: 12", "id": 2045}, {"char_len": 33, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 868, 11, 220, 21, 198, 75, 6358, 25, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 15, 6\nlcm: 30", "id": 2046}, {"char_len": 76, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 23, 271, 18, 1432, 8724, 44, 25, 1187], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n8\n\n3\n\n\nLCM:24", "id": 2047}, {"char_len": 134, "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, 3080, 271, 1187, 198, 8724, 44, 25, 220, 6330, 23], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 67\n\n24\nLCM: 1608", "id": 2048}, {"char_len": 25, "tokens": [1313, 674, 220, 1272, 198, 50828, 445, 10190, 374, 25, 220, 14868], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "22 # 40\ntheir LCM is: 440", "id": 2049}, {"char_len": 39, "tokens": [3990, 279, 87179, 2983, 765, 220, 845, 765, 220, 1187, 765, 220, 2096, 198, 75, 6358, 25, 220, 19929, 21], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm42 | 16 | 24 | 44\nlcm: 3696", "id": 2050}, {"char_len": 50, "tokens": [35, 25296, 279, 87179, 25, 220, 3487, 11, 20, 198, 82916, 4279, 5361, 271, 11209], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 56,5\nLeast common multiple\n\n280", "id": 2051}, {"char_len": 136, "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, 1187, 3929, 220, 1399, 198, 8724, 44, 25, 220, 4364], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 24 --> 60\nLCM: 120", "id": 2052}, {"char_len": 130, "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, 21, 11, 220, 24, 198, 8724, 44, 25, 220, 972], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 6, 9\nLCM: 18", "id": 2053}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 1313, 11, 220, 806, 198, 75, 6358, 25, 220, 1313], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 22, 11\nlcm: 22", "id": 2054}, {"char_len": 45, "tokens": [23, 11, 220, 21, 11, 220, 508, 11, 220, 18, 11, 220, 5332, 11, 220, 24, 11, 220, 20, 11, 220, 3174, 198, 50828, 445, 10190, 374, 25, 220, 10288, 1399], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "factorization", "kind": "LCM", "txt": "8, 6, 20, 3, 72, 9, 5, 41\ntheir LCM is: 14760", "id": 2055}, {"char_len": 81, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 22, 11, 220, 17, 11, 220, 5495, 1432, 8724, 44, 25, 9390], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n7, 2, 63\n\n\nLCM:126", "id": 2056}, {"char_len": 27, "tokens": [3990, 279, 87179, 605, 220, 18, 220, 868, 198, 75, 6358, 25, 220, 966], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm10 3 15\nlcm: 30", "id": 2057}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 1544, 201, 1419, 198, 8724, 44, 25, 220, 22488], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 27\r23\nLCM: 621", "id": 2058}, {"char_len": 88, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 21, 262, 220, 2031, 262, 220, 975, 271, 16533, 25, 220, 8848], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n6 70 14\n\nAnswer: 210", "id": 2059}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 966, 198, 1313, 198, 75, 6358, 25, 220, 10568], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 30\n22\nlcm: 330", "id": 2060}, {"char_len": 32, "tokens": [3990, 279, 87179, 24, 1174, 220, 1958, 1174, 220, 1114, 198, 75, 6358, 25, 220, 12879], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm9 , 34 , 17\nlcm: 306", "id": 2061}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 717, 220, 1032, 198, 75, 6358, 25, 220, 10132], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 12 13\nlcm: 156", "id": 2062}, {"char_len": 78, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 868, 220, 220, 22, 1432, 8724, 44, 25, 6550], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n15 7\n\n\nLCM:105", "id": 2063}, {"char_len": 80, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 17, 3929, 220, 2618, 1432, 8724, 44, 25, 6281], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n2 --> 47\n\n\nLCM:94", "id": 2064}, {"char_len": 27, "tokens": [1419, 11, 220, 18, 11, 220, 972, 198, 50828, 445, 10190, 374, 25, 220, 17448], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "23, 3, 18\ntheir LCM is: 414", "id": 2065}, {"char_len": 31, "tokens": [19, 405, 24, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 1927], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "4->9\n These numbers' LCM is: 36", "id": 2066}, {"char_len": 24, "tokens": [28336, 25, 220, 1419, 11, 220, 845, 198, 8724, 44, 25, 220, 19057], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 23, 16\nLCM: 368", "id": 2067}, {"char_len": 29, "tokens": [10086, 279, 445, 10190, 25, 220, 508, 220, 220, 1627, 198, 8724, 44, 25, 220, 11387], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 20 26\nLCM: 260", "id": 2068}, {"char_len": 135, "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, 845, 11, 220, 24, 11, 220, 21, 198, 8724, 44, 25, 220, 8929], "tokenizer": "cl100k_base", "tokens_len": 38, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 16, 9, 6\nLCM: 144", "id": 2069}, {"char_len": 23, "tokens": [605, 197, 2131, 198, 50828, 445, 10190, 374, 25, 220, 5120], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "10\t55\ntheir LCM is: 110", "id": 2070}, {"char_len": 64, "tokens": [35, 25296, 279, 87179, 25, 220, 2148, 1174, 220, 24, 1174, 220, 2287, 1174, 220, 508, 198, 82916, 4279, 5361, 271, 22922, 1490], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Determine the lcm: 31 , 9 , 66 , 20\nLeast common multiple\n\n61380", "id": 2071}, {"char_len": 28, "tokens": [10086, 279, 445, 10190, 25, 220, 3971, 197, 777, 198, 8724, 44, 25, 220, 24792], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 51\t19\nLCM: 969", "id": 2072}, {"char_len": 44, "tokens": [35, 25296, 279, 445, 10190, 271, 2614, 91, 1313, 91, 21, 91, 1987, 198, 791, 445, 10190, 25, 220, 20363, 1927], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n68|22|6|38\nThe LCM: 42636", "id": 2073}, {"char_len": 78, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1032, 198, 972, 1432, 8724, 44, 25, 11727], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n13\n18\n\n\nLCM:234", "id": 2074}, {"char_len": 34, "tokens": [508, 11, 220, 777, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 13897], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "LCM", "txt": "20, 19\n These numbers' LCM is: 380", "id": 2075}, {"char_len": 34, "tokens": [3990, 279, 87179, 5925, 11, 23, 11, 508, 11, 3076, 198, 75, 6358, 25, 220, 13860, 6330], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm91,8,20,69\nlcm: 251160", "id": 2076}, {"char_len": 22, "tokens": [777, 220, 23, 198, 50828, 445, 10190, 374, 25, 220, 9756], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "19 8\ntheir LCM is: 152", "id": 2077}, {"char_len": 27, "tokens": [3990, 279, 87179, 1691, 11, 220, 1187, 198, 75, 6358, 25, 220, 8953], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm21, 24\nlcm: 168", "id": 2078}, {"char_len": 54, "tokens": [28336, 25, 220, 4103, 674, 220, 914, 674, 220, 19, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 5894, 15], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 52 # 25 # 4\nLeast Common Multiple (LCM): 1300", "id": 2079}, {"char_len": 26, "tokens": [10086, 279, 445, 10190, 25, 220, 17, 405, 20, 198, 8724, 44, 25, 220, 605], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "LCM", "txt": "Find the LCM: 2->5\nLCM: 10", "id": 2080}, {"char_len": 128, "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, 17, 197, 17, 198, 8724, 44, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 2\t2\nLCM: 2", "id": 2081}, {"char_len": 28, "tokens": [28336, 25, 220, 868, 11, 220, 2983, 11, 220, 1774, 198, 8724, 44, 25, 220, 18660], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 15, 42, 45\nLCM: 630", "id": 2082}, {"char_len": 39, "tokens": [1032, 220, 220, 843, 220, 220, 1958, 198, 4314, 5219, 6, 445, 10190, 374, 25, 220, 18770, 17], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "LCM", "txt": "13 32 34\n These numbers' LCM is: 7072", "id": 2083}, {"char_len": 134, "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, 9335, 197, 1591, 198, 8724, 44, 25, 220, 20077, 23], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 141\t28\nLCM: 3948", "id": 2084}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 3325, 4279, 5361, 382, 1806, 11, 1313, 11, 2397, 1432, 8724, 44, 25, 21618, 605], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "Below is a list of numbers. Find their least common multiple.\n\n37,22,65\n\n\nLCM:52910", "id": 2085}, {"char_len": 36, "tokens": [35, 25296, 279, 445, 10190, 271, 1313, 271, 19, 198, 791, 445, 10190, 25, 220, 2096], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n22\n\n4\nThe LCM: 44", "id": 2086}, {"char_len": 23, "tokens": [806, 198, 845, 198, 50828, 445, 10190, 374, 25, 220, 10967], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "LCM", "txt": "11\n16\ntheir LCM is: 176", "id": 2087}, {"char_len": 39, "tokens": [35, 25296, 279, 445, 10190, 271, 17, 3929, 220, 1958, 198, 791, 445, 10190, 25, 220, 1958], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "Determine the LCM\n\n2 --> 34\nThe LCM: 34", "id": 2088}, {"char_len": 34, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 845, 1174, 220, 21, 198, 75, 6358, 25, 220, 2166], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 16 , 6\nlcm: 48", "id": 2089}, {"char_len": 41, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 18, 197, 508, 197, 1758, 197, 3391, 198, 75, 6358, 25, 220, 5245, 1399], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 3\t20\t35\t43\nlcm: 18060", "id": 2090}, {"char_len": 57, "tokens": [28336, 25, 220, 1954, 11, 220, 23, 11, 220, 1806, 11, 220, 717, 198, 82916, 7874, 29911, 320, 8724, 44, 1680, 220, 9423, 508], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "Numbers: 90, 8, 37, 12\nLeast Common Multiple (LCM): 13320", "id": 2091}, {"char_len": 88, "tokens": [10086, 279, 91616, 7874, 29911, 1990, 279, 2768, 5219, 271, 1758, 674, 220, 1032, 674, 220, 972, 271, 16533, 25, 220, 18831, 15], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "LCM", "txt": "Find the Least Common Multiple between the following numbers\n\n35 # 13 # 18\n\nAnswer: 8190", "id": 2092}, {"char_len": 35, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 24, 1174, 220, 508, 198, 75, 6358, 25, 220, 5245], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 9 , 20\nlcm: 180", "id": 2093}, {"char_len": 20, "tokens": [17, 11, 220, 18, 198, 50828, 445, 10190, 374, 25, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "LCM", "txt": "2, 3\ntheir LCM is: 6", "id": 2094}, {"char_len": 133, "tokens": [791, 445, 10190, 320, 82916, 7874, 29911, 8, 374, 279, 25655, 1396, 8649, 1855, 315, 279, 2768, 5219, 439, 3512, 42314, 13, 35813, 25, 220, 1806, 11, 1399, 198, 8724, 44, 25, 220, 9716, 15], "tokenizer": "cl100k_base", "tokens_len": 35, "data_type": "factorization", "kind": "LCM", "txt": "The LCM (Least Common Multiple) is the smallest number containing each of the following numbers as divisors. Numbers: 37,60\nLCM: 2220", "id": 2095}, {"char_len": 47, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 2148, 674, 220, 17, 674, 220, 1774, 674, 220, 1272, 198, 75, 6358, 25, 220, 5037, 1399], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 31 # 2 # 45 # 40\nlcm: 11160", "id": 2096}, {"char_len": 46, "tokens": [3990, 279, 87179, 5332, 405, 777, 405, 2148, 405, 1987, 405, 21, 405, 914, 198, 75, 6358, 25, 220, 7461, 11139, 15], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm72->19->31->38->6->25\nlcm: 1060200", "id": 2097}, {"char_len": 33, "tokens": [18257, 704, 279, 445, 10190, 25, 220, 22, 11, 220, 975, 198, 75, 6358, 25, 220, 975], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "LCM", "txt": "figure out the LCM: 7, 14\nlcm: 14", "id": 2098}, {"char_len": 25, "tokens": [3990, 279, 87179, 18, 262, 220, 21, 198, 75, 6358, 25, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "LCM", "txt": "find the lcm3 6\nlcm: 6", "id": 2099}, {"char_len": 49, "tokens": [35, 25296, 279, 480, 6620, 271, 11739, 3929, 220, 10148, 3929, 220, 10290, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n169 --> 137 --> 143\nThe GCD: 1", "id": 2100}, {"char_len": 56, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 5332, 201, 15537, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 72\r259\nGreatest common denominator\n\n1", "id": 2101}, {"char_len": 32, "tokens": [2495, 11, 1041, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "78,100\n These numbers' GCD is: 2", "id": 2102}, {"char_len": 20, "tokens": [28336, 25, 220, 23, 220, 5728, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 8 74\nGCD: 2", "id": 2103}, {"char_len": 95, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 2148, 11, 220, 10718, 11, 220, 10697, 11, 220, 1419, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n31, 161, 224, 23\n\nAnswer: 1", "id": 2104}, {"char_len": 27, "tokens": [914, 11, 220, 16707, 11, 220, 1114, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "25, 331, 17\ntheir GCD is: 1", "id": 2105}, {"char_len": 92, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 5728, 1174, 220, 23477, 1174, 220, 1135, 271, 16533, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n74 , 566 , 50\n\nAnswer: 2", "id": 2106}, {"char_len": 24, "tokens": [3990, 279, 45958, 5313, 197, 1691, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd85\t21\nGCD: 1", "id": 2107}, {"char_len": 85, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 10239, 271, 10866, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n142\n\n205\n\n\nGCD:1", "id": 2108}, {"char_len": 46, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 7507, 674, 220, 6083, 674, 220, 10290, 674, 220, 1644, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 404 # 92 # 143 # 33\nGCD: 1", "id": 2109}, {"char_len": 36, "tokens": [4386, 262, 220, 12463, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "128 216\n These numbers' GCD is: 8", "id": 2110}, {"char_len": 33, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 6083, 11, 20165, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 92,434\nGCD: 2", "id": 2111}, {"char_len": 24, "tokens": [28336, 25, 220, 19, 198, 17306, 198, 845, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 4\n355\n16\nGCD: 1", "id": 2112}, {"char_len": 159, "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, 1313, 197, 1187, 198, 791, 480, 6620, 374, 220, 17], "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: 22\t24\nThe GCD is 2", "id": 2113}, {"char_len": 84, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 10513, 220, 7261, 1432, 38, 6620, 25, 19], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n164 112\n\n\nGCD:4", "id": 2114}, {"char_len": 45, "tokens": [10161, 11, 220, 2790, 11, 220, 975, 11, 220, 3487, 11, 220, 2397, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "149, 46, 14, 56, 65\n These numbers' GCD is: 1", "id": 2115}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 1419, 11, 220, 10239, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n23, 142\n\nAnswer: 1", "id": 2116}, {"char_len": 56, "tokens": [10086, 279, 480, 6620, 25, 220, 1987, 1174, 220, 777, 1174, 220, 17408, 1174, 220, 10350, 1174, 220, 2166, 1174, 220, 5728, 1174, 220, 8929, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 31, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 38 , 19 , 296 , 138 , 48 , 74 , 144\nGCD: 1", "id": 2117}, {"char_len": 36, "tokens": [3990, 279, 45958, 1644, 3929, 220, 9335, 3929, 220, 1682, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd33 --> 141 --> 29\nGCD: 1", "id": 2118}, {"char_len": 35, "tokens": [1227, 91, 10290, 91, 605, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "64|143|10\n These numbers' GCD is: 1", "id": 2119}, {"char_len": 39, "tokens": [35, 25296, 279, 480, 6620, 271, 4044, 11, 220, 5538, 11, 220, 18, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n87, 62, 3\nThe GCD: 1", "id": 2120}, {"char_len": 28, "tokens": [3990, 279, 45958, 22, 405, 2618, 405, 4103, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd7->47->52\nGCD: 1", "id": 2121}, {"char_len": 36, "tokens": [3990, 279, 45958, 2137, 674, 220, 4103, 674, 220, 1691, 674, 220, 972, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd39 # 52 # 21 # 18\nGCD: 1", "id": 2122}, {"char_len": 33, "tokens": [3990, 279, 45958, 2421, 262, 220, 2790, 262, 220, 3534, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd88 46 97\nGCD: 1", "id": 2123}, {"char_len": 57, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 777, 197, 13897, 198, 38, 11423, 4279, 48012, 271, 777], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 19\t380\nGreatest common denominator\n\n19", "id": 2124}, {"char_len": 57, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 7261, 198, 14735, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 112\n249\nGreatest common denominator\n\n1", "id": 2125}, {"char_len": 34, "tokens": [15999, 198, 22, 198, 2790, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "266\n7\n46\n These numbers' GCD is: 1", "id": 2126}, {"char_len": 51, "tokens": [35, 25296, 279, 480, 6620, 271, 5932, 1174, 220, 4161, 1174, 220, 2618, 1174, 220, 3080, 1174, 220, 22, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n81 , 96 , 47 , 67 , 7\nThe GCD: 1", "id": 2127}, {"char_len": 61, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 2075, 220, 220, 9378, 220, 220, 1691, 198, 38, 11423, 4279, 48012, 271, 18], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 75 189 21\nGreatest common denominator\n\n3", "id": 2128}, {"char_len": 33, "tokens": [10559, 11, 220, 1490, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "154, 80\n These numbers' GCD is: 2", "id": 2129}, {"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, 975, 271, 8546, 198, 791, 480, 6620, 374, 220, 16], "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: 14\n\n117\nThe GCD is 1", "id": 2130}, {"char_len": 66, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 2946, 262, 220, 9800, 262, 220, 14057, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 59 153 226\nGreatest common denominator\n\n1", "id": 2131}, {"char_len": 159, "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, 2166, 11, 972, 198, 791, 480, 6620, 374, 220, 21], "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: 48,18\nThe GCD is 6", "id": 2132}, {"char_len": 26, "tokens": [3990, 279, 45958, 1187, 674, 220, 1987, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd24 # 38\nGCD: 2", "id": 2133}, {"char_len": 27, "tokens": [3990, 279, 45958, 843, 1174, 220, 12378, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd32 , 409\nGCD: 1", "id": 2134}, {"char_len": 106, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 1691, 262, 220, 1591, 262, 220, 5313, 262, 220, 4645, 262, 220, 2614, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 29, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n21 28 85 101 68\n\nAnswer: 1", "id": 2135}, {"char_len": 90, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 868, 11, 220, 3971, 11, 220, 15666, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n15, 51, 263\n\nAnswer: 1", "id": 2136}, {"char_len": 40, "tokens": [28336, 25, 220, 22, 201, 1591, 201, 3080, 201, 605, 201, 14205, 201, 1490, 201, 17264, 201, 4103, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 24, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 7\r28\r67\r10\r246\r80\r406\r52\nGCD: 1", "id": 2137}, {"char_len": 37, "tokens": [35, 25296, 279, 480, 6620, 271, 2721, 1174, 220, 1544, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n95 , 27\nThe GCD: 1", "id": 2138}, {"char_len": 83, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 914, 11, 17, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n25,2\n\nAnswer: 1", "id": 2139}, {"char_len": 84, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 10239, 765, 220, 21, 1432, 38, 6620, 25, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n142 | 6\n\n\nGCD:2", "id": 2140}, {"char_len": 41, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 508, 197, 1691, 197, 5538, 197, 1691, 197, 1987, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 20\t21\t62\t21\t38\nGCD: 1", "id": 2141}, {"char_len": 34, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 11242, 271, 1187, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 177\n\n24\nGCD: 3", "id": 2142}, {"char_len": 28, "tokens": [10086, 279, 480, 6620, 25, 220, 1591, 765, 220, 777, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 28 | 19\nGCD: 1", "id": 2143}, {"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, 508, 765, 220, 1758, 198, 791, 480, 6620, 374, 220, 20], "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: 20 | 35\nThe GCD is 5", "id": 2144}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 9690, 220, 220, 2137, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n151 39\n\nAnswer: 1", "id": 2145}, {"char_len": 50, "tokens": [28336, 25, 220, 2137, 198, 21, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 39\n6\nGreatest Common Denominator (GCD): 3", "id": 2146}, {"char_len": 90, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 4468, 220, 220, 972, 220, 220, 508, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n197 18 20\n\nAnswer: 1", "id": 2147}, {"char_len": 87, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1958, 220, 220, 6550, 220, 220, 19, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n34 105 4\n\n\nGCD:1", "id": 2148}, {"char_len": 53, "tokens": [28336, 25, 220, 14205, 11, 220, 806, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 246, 11\nGreatest Common Denominator (GCD): 1", "id": 2149}, {"char_len": 23, "tokens": [2096, 11, 220, 6889, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "44, 103\ntheir GCD is: 1", "id": 2150}, {"char_len": 22, "tokens": [21, 674, 220, 1927, 198, 50828, 480, 6620, 374, 25, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "6 # 36\ntheir GCD is: 6", "id": 2151}, {"char_len": 35, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 11128, 271, 6550, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 179\n\n105\nGCD: 1", "id": 2152}, {"char_len": 45, "tokens": [9690, 11, 220, 2131, 11, 220, 2618, 11, 220, 1114, 11, 220, 1313, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "151, 55, 47, 17, 22\n These numbers' GCD is: 1", "id": 2153}, {"char_len": 66, "tokens": [28336, 25, 220, 1591, 11, 220, 3534, 11, 220, 914, 11, 220, 4364, 11, 220, 9714, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 28, 97, 25, 120, 186\nGreatest Common Denominator (GCD): 1", "id": 2154}, {"char_len": 33, "tokens": [6365, 11, 220, 19695, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "93, 392\n These numbers' GCD is: 1", "id": 2155}, {"char_len": 28, "tokens": [9716, 220, 5332, 220, 3264, 220, 806, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "222 72 98 11\ntheir GCD is: 1", "id": 2156}, {"char_len": 44, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 23, 3929, 220, 14206, 3929, 220, 6804, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 8 --> 227 --> 127\nGCD: 1", "id": 2157}, {"char_len": 22, "tokens": [28336, 25, 220, 11387, 11, 2148, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 260,31\nGCD: 1", "id": 2158}, {"char_len": 26, "tokens": [28336, 25, 220, 1758, 405, 18, 405, 15966, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 35->3->258\nGCD: 1", "id": 2159}, {"char_len": 158, "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, 508, 198, 18, 198, 791, 480, 6620, 374, 220, 16], "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: 20\n3\nThe GCD is 1", "id": 2160}, {"char_len": 32, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 1591, 198, 6083, 198, 38, 6620, 25, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 28\n92\nGCD: 4", "id": 2161}, {"char_len": 23, "tokens": [28336, 25, 220, 8027, 201, 11584, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 116\r214\nGCD: 2", "id": 2162}, {"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, 972, 765, 220, 3264, 198, 791, 480, 6620, 374, 220, 17], "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: 18 | 98\nThe GCD is 2", "id": 2163}, {"char_len": 29, "tokens": [10086, 279, 480, 6620, 25, 220, 10125, 11, 220, 14374, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 139, 265\nGCD: 1", "id": 2164}, {"char_len": 30, "tokens": [3990, 279, 45958, 19, 11, 10967, 11, 3174, 11, 3226, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd4,176,41,57\nGCD: 1", "id": 2165}, {"char_len": 35, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 5313, 262, 220, 806, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 85 11\nGCD: 1", "id": 2166}, {"char_len": 32, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 2790, 220, 1490, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 46 80\nGCD: 2", "id": 2167}, {"char_len": 59, "tokens": [28336, 25, 220, 1987, 197, 10697, 197, 10559, 197, 2618, 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: 38\t224\t154\t47\nGreatest Common Denominator (GCD): 1", "id": 2168}, {"char_len": 27, "tokens": [10086, 279, 480, 6620, 25, 220, 1114, 11, 220, 966, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 17, 30\nGCD: 1", "id": 2169}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 3080, 11, 1419, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n67,23\n\n\nGCD:1", "id": 2170}, {"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, 11739, 220, 220, 5538, 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: 169 62\nThe GCD is 1", "id": 2171}, {"char_len": 40, "tokens": [35, 25296, 279, 480, 6620, 271, 9079, 3929, 220, 1313, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n119 --> 22\nThe GCD: 1", "id": 2172}, {"char_len": 34, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 9390, 220, 220, 3174, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 126 41\nGCD: 1", "id": 2173}, {"char_len": 167, "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, 19, 271, 20617, 271, 4161, 271, 24, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 47, "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: 4\n\n471\n\n96\n\n9\nThe GCD is 1", "id": 2174}, {"char_len": 32, "tokens": [28336, 25, 220, 8899, 220, 220, 2031, 220, 220, 3534, 220, 220, 14378, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 118 70 97 229\nGCD: 1", "id": 2175}, {"char_len": 63, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 777, 1174, 220, 6069, 1174, 220, 12171, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 19 , 83 , 208\nGreatest common denominator\n\n1", "id": 2176}, {"char_len": 46, "tokens": [3226, 271, 6550, 271, 1032, 271, 975, 271, 14206, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "57\n\n105\n\n13\n\n14\n\n227\n These numbers' GCD is: 1", "id": 2177}, {"char_len": 57, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 4278, 220, 220, 1954, 198, 38, 11423, 4279, 48012, 271, 21], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 102 90\nGreatest common denominator\n\n6", "id": 2178}, {"char_len": 20, "tokens": [4103, 198, 24, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "52\n9\ntheir GCD is: 1", "id": 2179}, {"char_len": 35, "tokens": [4643, 674, 220, 9367, 674, 220, 3264, 674, 220, 4645, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "79 # 188 # 98 # 101\ntheir GCD is: 1", "id": 2180}, {"char_len": 26, "tokens": [10086, 279, 480, 6620, 25, 220, 2096, 220, 1774, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 44 45\nGCD: 1", "id": 2181}, {"char_len": 39, "tokens": [35, 25296, 279, 480, 6620, 271, 2131, 3929, 220, 2983, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n55 --> 42\nThe GCD: 1", "id": 2182}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 2131, 11, 220, 1419, 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\n55, 23\n\n\nGCD:1", "id": 2183}, {"char_len": 29, "tokens": [28336, 25, 220, 8874, 198, 1032, 198, 10559, 198, 1644, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 124\n13\n154\n33\nGCD: 1", "id": 2184}, {"char_len": 38, "tokens": [35, 25296, 279, 480, 6620, 271, 20, 262, 220, 9892, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n5 163\nThe GCD: 1", "id": 2185}, {"char_len": 63, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1419, 674, 220, 1774, 674, 220, 9591, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 23 # 45 # 145\nGreatest common denominator\n\n1", "id": 2186}, {"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, 2075, 674, 220, 868, 198, 791, 480, 6620, 374, 220, 868], "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: 75 # 15\nThe GCD is 15", "id": 2187}, {"char_len": 27, "tokens": [3990, 279, 45958, 24, 91, 15340, 91, 605, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd9|316|10\nGCD: 1", "id": 2188}, {"char_len": 26, "tokens": [3990, 279, 45958, 9748, 198, 4218, 198, 38, 6620, 25, 220, 3391], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd129\n86\nGCD: 43", "id": 2189}, {"char_len": 37, "tokens": [35, 25296, 279, 480, 6620, 271, 16482, 11, 220, 2946, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n352, 59\nThe GCD: 1", "id": 2190}, {"char_len": 64, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1135, 262, 220, 5958, 262, 220, 5495, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 50 73 63\nGreatest common denominator\n\n1", "id": 2191}, {"char_len": 52, "tokens": [28336, 25, 220, 4643, 220, 9870, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 79 230\nGreatest Common Denominator (GCD): 1", "id": 2192}, {"char_len": 36, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 1272, 11, 220, 18, 11, 220, 1958, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 40, 3, 34\nGCD: 1", "id": 2193}, {"char_len": 26, "tokens": [3990, 279, 45958, 1049, 197, 15951, 198, 38, 6620, 25, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd200\t364\nGCD: 4", "id": 2194}, {"char_len": 22, "tokens": [9079, 11, 975, 198, 50828, 480, 6620, 374, 25, 220, 22], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "119,14\ntheir GCD is: 7", "id": 2195}, {"char_len": 31, "tokens": [10086, 279, 480, 6620, 25, 220, 6843, 220, 2031, 220, 10239, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 360 70 142\nGCD: 2", "id": 2196}, {"char_len": 30, "tokens": [28336, 25, 220, 12375, 765, 220, 5245, 765, 220, 1691, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 254 | 180 | 21\nGCD: 1", "id": 2197}, {"char_len": 33, "tokens": [10086, 279, 480, 6620, 25, 220, 717, 11, 220, 17267, 11, 220, 4278, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 12, 279, 102\nGCD: 3", "id": 2198}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 4578, 201, 1272, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n89\r40\n\n\nGCD:1", "id": 2199}, {"char_len": 28, "tokens": [28336, 25, 220, 6549, 271, 7261, 271, 2096, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 125\n\n112\n\n44\nGCD: 1", "id": 2200}, {"char_len": 184, "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, 806, 3929, 220, 717, 3929, 220, 2031, 3929, 220, 4767, 3929, 220, 914, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 53, "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: 11 --> 12 --> 70 --> 76 --> 25\nThe GCD is 1", "id": 2201}, {"char_len": 56, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 3080, 11, 220, 1399, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 67, 60\nGreatest common denominator\n\n1", "id": 2202}, {"char_len": 44, "tokens": [35, 25296, 279, 480, 6620, 271, 975, 11, 220, 8899, 11, 220, 1987, 11, 220, 23, 198, 791, 480, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n14, 118, 38, 8\nThe GCD: 2", "id": 2203}, {"char_len": 31, "tokens": [28336, 25, 220, 3174, 220, 220, 2970, 220, 220, 19746, 220, 220, 5728, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 41 58 348 74\nGCD: 1", "id": 2204}, {"char_len": 68, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 4364, 11, 220, 5332, 11, 220, 20, 11, 220, 5547, 11, 220, 1644, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 27, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 120, 72, 5, 61, 33\nGreatest common denominator\n\n1", "id": 2205}, {"char_len": 26, "tokens": [28336, 25, 220, 10465, 198, 1187, 198, 10288, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 146\n24\n147\nGCD: 1", "id": 2206}, {"char_len": 94, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 717, 198, 5495, 198, 806, 198, 1049, 198, 1187, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n12\n63\n11\n200\n24\n\nAnswer: 1", "id": 2207}, {"char_len": 96, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 16544, 11, 220, 3080, 11, 220, 13078, 11, 220, 11242, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n282, 67, 245, 177\n\nAnswer: 1", "id": 2208}, {"char_len": 35, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 868, 220, 1958, 220, 1399, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 15 34 60\nGCD: 1", "id": 2209}, {"char_len": 22, "tokens": [2491, 271, 1774, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "49\n\n45\ntheir GCD is: 1", "id": 2210}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 3101, 11, 220, 17, 1432, 38, 6620, 25, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n300, 2\n\n\nGCD:2", "id": 2211}, {"char_len": 55, "tokens": [28336, 25, 220, 1691, 91, 1313, 91, 14057, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 21|22|226\nGreatest Common Denominator (GCD): 1", "id": 2212}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1591, 220, 220, 972, 1432, 38, 6620, 25, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n28 18\n\n\nGCD:2", "id": 2213}, {"char_len": 48, "tokens": [16884, 11, 220, 4643, 11, 220, 1227, 11, 220, 1958, 11, 220, 19, 11, 220, 1806, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "328, 79, 64, 34, 4, 37\n These numbers' GCD is: 1", "id": 2214}, {"char_len": 119, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 10350, 220, 220, 972, 220, 220, 17313, 220, 220, 18, 220, 220, 1135, 220, 220, 23, 220, 220, 2131, 220, 220, 12112, 220, 220, 3534, 220, 220, 8011, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 44, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n138 18 293 3 50 8 55 215 97 114\n\nAnswer: 1", "id": 2215}, {"char_len": 30, "tokens": [3990, 279, 45958, 10336, 3929, 220, 6083, 198, 38, 6620, 25, 220, 6083], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd184 --> 92\nGCD: 92", "id": 2216}, {"char_len": 59, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 6804, 1174, 220, 1049, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 127 , 200\nGreatest common denominator\n\n1", "id": 2217}, {"char_len": 65, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1484, 198, 843, 198, 3264, 198, 8027, 198, 4161, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 99\n32\n98\n116\n96\nGreatest common denominator\n\n1", "id": 2218}, {"char_len": 23, "tokens": [2148, 1174, 220, 717, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "31 , 12\ntheir GCD is: 1", "id": 2219}, {"char_len": 25, "tokens": [1187, 3929, 220, 2491, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "24 --> 49\ntheir GCD is: 1", "id": 2220}, {"char_len": 108, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 13364, 674, 220, 2790, 674, 220, 1399, 674, 220, 1691, 674, 220, 4103, 674, 220, 6889, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n305 # 46 # 60 # 21 # 52 # 103\n\nAnswer: 1", "id": 2221}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 10350, 197, 6804, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n138\t127\n\nAnswer: 1", "id": 2222}, {"char_len": 23, "tokens": [28336, 25, 220, 10465, 11, 10513, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 146,164\nGCD: 2", "id": 2223}, {"char_len": 34, "tokens": [28336, 25, 220, 1627, 271, 1987, 271, 10290, 271, 845, 271, 19, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 26\n\n38\n\n143\n\n16\n\n4\nGCD: 1", "id": 2224}, {"char_len": 39, "tokens": [35, 25296, 279, 480, 6620, 271, 845, 262, 220, 843, 198, 791, 480, 6620, 25, 220, 845], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n16 32\nThe GCD: 16", "id": 2225}, {"char_len": 47, "tokens": [28336, 25, 220, 1987, 3929, 220, 5332, 3929, 220, 8259, 3929, 220, 3487, 3929, 220, 1987, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 38 --> 72 --> 122 --> 56 --> 38\nGCD: 2", "id": 2226}, {"char_len": 52, "tokens": [28336, 25, 220, 5538, 201, 17590, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 62\r342\nGreatest Common Denominator (GCD): 2", "id": 2227}, {"char_len": 22, "tokens": [17, 765, 220, 2721, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "2 | 95\ntheir GCD is: 1", "id": 2228}, {"char_len": 60, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 11056, 262, 220, 15515, 198, 38, 11423, 4279, 48012, 271, 17], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 206 390\nGreatest common denominator\n\n2", "id": 2229}, {"char_len": 29, "tokens": [3990, 279, 45958, 19057, 198, 17, 198, 20, 198, 1114, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd368\n2\n5\n17\nGCD: 1", "id": 2230}, {"char_len": 36, "tokens": [35, 25296, 279, 480, 6620, 271, 8190, 197, 3226, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n113\t57\nThe GCD: 1", "id": 2231}, {"char_len": 46, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 5120, 674, 220, 12171, 674, 220, 1644, 674, 220, 1591, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 110 # 208 # 33 # 28\nGCD: 1", "id": 2232}, {"char_len": 48, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 12166, 1174, 220, 17678, 1174, 220, 4364, 1174, 220, 13895, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 304 , 347 , 120 , 238\nGCD: 1", "id": 2233}, {"char_len": 89, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 7461, 220, 10967, 220, 5958, 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\n106 176 73\n\nAnswer: 1", "id": 2234}, {"char_len": 89, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 508, 674, 220, 1927, 674, 220, 1691, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n20 # 36 # 21\n\n\nGCD:1", "id": 2235}, {"char_len": 85, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1682, 262, 220, 2096, 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\n29 44\n\n\nGCD:1", "id": 2236}, {"char_len": 84, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1544, 674, 220, 1135, 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\n27 # 50\n\n\nGCD:1", "id": 2237}, {"char_len": 83, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1272, 11, 220, 6083, 1432, 38, 6620, 25, 19], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n40, 92\n\n\nGCD:4", "id": 2238}, {"char_len": 27, "tokens": [3990, 279, 45958, 2131, 197, 6281, 197, 5495, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd55\t94\t63\nGCD: 1", "id": 2239}, {"char_len": 23, "tokens": [2721, 765, 220, 2790, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "95 | 46\ntheir GCD is: 1", "id": 2240}, {"char_len": 25, "tokens": [3990, 279, 45958, 17590, 197, 1114, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd342\t17\nGCD: 1", "id": 2241}, {"char_len": 35, "tokens": [35, 25296, 279, 480, 6620, 271, 6365, 198, 1032, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n93\n13\nThe GCD: 1", "id": 2242}, {"char_len": 43, "tokens": [9263, 11, 220, 9413, 11, 220, 1313, 11, 220, 9378, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "131, 132, 22, 189\n These numbers' GCD is: 1", "id": 2243}, {"char_len": 29, "tokens": [28336, 25, 220, 6083, 220, 12533, 220, 9413, 220, 1544, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 92 223 132 27\nGCD: 1", "id": 2244}, {"char_len": 41, "tokens": [20, 262, 220, 15828, 262, 220, 9390, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "5 271 126\n These numbers' GCD is: 1", "id": 2245}, {"char_len": 63, "tokens": [28336, 25, 220, 20, 201, 1774, 201, 1272, 201, 2970, 201, 1644, 201, 11727, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 5\r45\r40\r58\r33\r234\nGreatest Common Denominator (GCD): 1", "id": 2246}, {"char_len": 60, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 5932, 11, 220, 4103, 11, 220, 6365, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 81, 52, 93\nGreatest common denominator\n\n1", "id": 2247}, {"char_len": 55, "tokens": [28336, 25, 220, 1627, 3929, 220, 2790, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 26 --> 46\nGreatest Common Denominator (GCD): 2", "id": 2248}, {"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, 1691, 405, 3192, 198, 791, 480, 6620, 374, 220, 18], "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: 21->255\nThe GCD is 3", "id": 2249}, {"char_len": 87, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1041, 3929, 220, 777, 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\n100 --> 19\n\n\nGCD:1", "id": 2250}, {"char_len": 43, "tokens": [35, 25296, 279, 480, 6620, 271, 1927, 1174, 220, 3965, 1174, 220, 914, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n36 , 150 , 25\nThe GCD: 1", "id": 2251}, {"char_len": 38, "tokens": [35, 25296, 279, 480, 6620, 271, 13236, 405, 7285, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n303->193\nThe GCD: 1", "id": 2252}, {"char_len": 168, "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, 3174, 11, 220, 2148, 11, 220, 717, 11, 220, 2970, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 50, "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: 41, 31, 12, 58\nThe GCD is 1", "id": 2253}, {"char_len": 46, "tokens": [10086, 279, 480, 6620, 25, 220, 6393, 765, 220, 1135, 765, 220, 15134, 765, 220, 19166, 765, 220, 1032, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 194 | 50 | 311 | 378 | 13\nGCD: 1", "id": 2254}, {"char_len": 171, "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, 19166, 3929, 220, 2983, 3929, 220, 966, 198, 791, 480, 6620, 374, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 47, "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: 378 --> 42 --> 30\nThe GCD is 6", "id": 2255}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 2287, 405, 5926, 271, 16533, 25, 220, 21], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n66->192\n\nAnswer: 6", "id": 2256}, {"char_len": 39, "tokens": [35, 25296, 279, 480, 6620, 271, 3487, 262, 220, 7285, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n56 193\nThe GCD: 1", "id": 2257}, {"char_len": 39, "tokens": [28336, 25, 220, 1484, 271, 11702, 271, 1644, 271, 6365, 271, 845, 271, 4218, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 99\n\n213\n\n33\n\n93\n\n16\n\n86\nGCD: 1", "id": 2258}, {"char_len": 32, "tokens": [966, 11, 220, 975, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "30, 14\n These numbers' GCD is: 2", "id": 2259}, {"char_len": 85, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 11387, 91, 4161, 271, 16533, 25, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n260|96\n\nAnswer: 4", "id": 2260}, {"char_len": 21, "tokens": [28336, 25, 220, 2946, 198, 5313, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 59\n85\nGCD: 1", "id": 2261}, {"char_len": 58, "tokens": [28336, 25, 220, 5932, 197, 8929, 197, 2614, 197, 6086, 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: 81\t144\t68\t82\nGreatest Common Denominator (GCD): 1", "id": 2262}, {"char_len": 38, "tokens": [35, 25296, 279, 480, 6620, 271, 16367, 11, 220, 16660, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n277, 276\nThe GCD: 1", "id": 2263}, {"char_len": 90, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 843, 11, 220, 3391, 11, 220, 10005, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n32, 43, 175\n\nAnswer: 1", "id": 2264}, {"char_len": 63, "tokens": [28336, 25, 220, 7743, 765, 220, 777, 765, 220, 3076, 765, 220, 24, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 109 | 19 | 69 | 9\nGreatest Common Denominator (GCD): 1", "id": 2265}, {"char_len": 56, "tokens": [28336, 25, 220, 8190, 91, 19274, 91, 1490, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 113|660|80\nGreatest Common Denominator (GCD): 1", "id": 2266}, {"char_len": 37, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 6860, 198, 6086, 198, 9413, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 140\n82\n132\nGCD: 2", "id": 2267}, {"char_len": 55, "tokens": [28336, 25, 220, 914, 197, 8929, 197, 3391, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 25\t144\t43\nGreatest Common Denominator (GCD): 1", "id": 2268}, {"char_len": 33, "tokens": [21, 3929, 220, 9756, 3929, 220, 17267, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "6 --> 152 --> 279\ntheir GCD is: 1", "id": 2269}, {"char_len": 101, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 605, 11, 220, 9756, 11, 220, 1484, 11, 220, 10132, 11, 220, 23, 11, 220, 7743, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 34, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n10, 152, 99, 156, 8, 109\n\n\nGCD:1", "id": 2270}, {"char_len": 37, "tokens": [2813, 220, 220, 12112, 220, 220, 2721, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "77 215 95\n These numbers' GCD is: 1", "id": 2271}, {"char_len": 32, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 1691, 220, 220, 18, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 21 3\nGCD: 3", "id": 2272}, {"char_len": 46, "tokens": [28336, 25, 220, 1419, 1174, 220, 717, 1174, 220, 9263, 1174, 220, 2983, 1174, 220, 3965, 1174, 220, 10148, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 23 , 12 , 131 , 42 , 150 , 137\nGCD: 1", "id": 2273}, {"char_len": 88, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 6550, 197, 19057, 197, 4278, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n105\t368\t102\n\n\nGCD:1", "id": 2274}, {"char_len": 26, "tokens": [28336, 25, 220, 10914, 262, 220, 4146, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 270 256\nGCD: 2", "id": 2275}, {"char_len": 42, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 9748, 262, 220, 972, 262, 220, 1032, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 129 18 13\nGCD: 1", "id": 2276}, {"char_len": 28, "tokens": [3990, 279, 45958, 3226, 201, 966, 201, 15134, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd57\r30\r311\nGCD: 1", "id": 2277}, {"char_len": 104, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 6393, 3929, 220, 1758, 3929, 220, 11227, 3929, 220, 1927, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 26, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n194 --> 35 --> 212 --> 36\n\nAnswer: 1", "id": 2278}, {"char_len": 40, "tokens": [4645, 765, 220, 1627, 765, 220, 11739, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "101 | 26 | 169\n These numbers' GCD is: 1", "id": 2279}, {"char_len": 36, "tokens": [35, 25296, 279, 480, 6620, 271, 717, 197, 5120, 198, 791, 480, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n12\t110\nThe GCD: 2", "id": 2280}, {"char_len": 83, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 20, 11, 2983, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n5,42\n\nAnswer: 1", "id": 2281}, {"char_len": 29, "tokens": [28336, 25, 220, 4767, 1174, 220, 1419, 1174, 220, 6549, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 76 , 23 , 125\nGCD: 1", "id": 2282}, {"char_len": 32, "tokens": [6804, 197, 4278, 197, 1313, 197, 6028, 197, 1272, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "127\t102\t22\t71\t40\ntheir GCD is: 1", "id": 2283}, {"char_len": 21, "tokens": [1187, 201, 2031, 198, 50828, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 11, "data_type": "factorization", "kind": "GCD", "txt": "24\r70\ntheir GCD is: 2", "id": 2284}, {"char_len": 29, "tokens": [9591, 201, 3487, 201, 4370, 201, 10148, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "145\r56\r54\r137\ntheir GCD is: 1", "id": 2285}, {"char_len": 42, "tokens": [3391, 197, 5538, 197, 1644, 197, 8848, 197, 11227, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "43\t62\t33\t210\t212\n These numbers' GCD is: 1", "id": 2286}, {"char_len": 39, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 8258, 11, 4103, 11, 1313, 11, 6028, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 170,52,22,71\nGCD: 1", "id": 2287}, {"char_len": 27, "tokens": [10086, 279, 480, 6620, 25, 220, 1591, 271, 914, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 28\n\n25\nGCD: 1", "id": 2288}, {"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, 13817, 11, 972, 198, 791, 480, 6620, 374, 220, 18], "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: 327,18\nThe GCD is 3", "id": 2289}, {"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, 2131, 271, 11123, 198, 791, 480, 6620, 374, 220, 16], "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: 55\n\n171\nThe GCD is 1", "id": 2290}, {"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, 3487, 220, 16551, 198, 791, 480, 6620, 374, 220, 19], "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: 56 460\nThe GCD is 4", "id": 2291}, {"char_len": 31, "tokens": [2790, 11, 1627, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "46,26\n These numbers' GCD is: 2", "id": 2292}, {"char_len": 36, "tokens": [10086, 279, 480, 6620, 25, 220, 717, 262, 220, 3487, 262, 220, 13302, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 12 56 218\nGCD: 2", "id": 2293}, {"char_len": 92, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1032, 11, 220, 5833, 11, 220, 806, 11, 220, 4364, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 28, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n13, 84, 11, 120\n\n\nGCD:1", "id": 2294}, {"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, 806, 271, 5894, 198, 791, 480, 6620, 374, 220, 16], "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: 11\n\n130\nThe GCD is 1", "id": 2295}, {"char_len": 48, "tokens": [11286, 3929, 220, 13860, 3929, 220, 1691, 3929, 220, 605, 3929, 220, 5332, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "158 --> 251 --> 21 --> 10 --> 72\ntheir GCD is: 1", "id": 2296}, {"char_len": 24, "tokens": [9795, 11, 220, 11739, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "136, 169\ntheir GCD is: 1", "id": 2297}, {"char_len": 45, "tokens": [9714, 3929, 220, 10465, 3929, 220, 9795, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "186 --> 146 --> 136\n These numbers' GCD is: 2", "id": 2298}, {"char_len": 56, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1627, 271, 508, 198, 38, 11423, 4279, 48012, 271, 17], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 26\n\n20\nGreatest common denominator\n\n2", "id": 2299}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1544, 91, 1691, 1432, 38, 6620, 25, 18], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n27|21\n\n\nGCD:3", "id": 2300}, {"char_len": 87, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 6860, 3929, 220, 1544, 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\n140 --> 27\n\n\nGCD:1", "id": 2301}, {"char_len": 58, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 8027, 11, 220, 9423, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 116, 133\nGreatest common denominator\n\n1", "id": 2302}, {"char_len": 47, "tokens": [35, 25296, 279, 480, 6620, 271, 605, 220, 220, 679, 220, 220, 18216, 220, 220, 8874, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n10 201 580 124\nThe GCD: 1", "id": 2303}, {"char_len": 91, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 1399, 765, 220, 14206, 765, 220, 7028, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n60 | 227 | 190\n\n\nGCD:1", "id": 2304}, {"char_len": 26, "tokens": [605, 91, 4645, 91, 15602, 198, 50828, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "10|101|261\ntheir GCD is: 1", "id": 2305}, {"char_len": 39, "tokens": [3990, 279, 45958, 3174, 11, 23477, 11, 7461, 11, 1644, 11, 7285, 11, 3971, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd41,566,106,33,193,51\nGCD: 1", "id": 2306}, {"char_len": 38, "tokens": [35, 25296, 279, 480, 6620, 271, 717, 1174, 220, 11068, 198, 791, 480, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n12 , 159\nThe GCD: 3", "id": 2307}, {"char_len": 46, "tokens": [35, 25296, 279, 480, 6620, 271, 10895, 220, 220, 679, 220, 220, 1806, 220, 220, 2946, 198, 791, 480, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n157 201 37 59\nThe GCD: 1", "id": 2308}, {"char_len": 55, "tokens": [28336, 25, 220, 15451, 765, 220, 14417, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 273 | 275\nGreatest Common Denominator (GCD): 1", "id": 2309}, {"char_len": 26, "tokens": [10086, 279, 480, 6620, 25, 220, 4767, 198, 914, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 15, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 76\n25\nGCD: 1", "id": 2310}, {"char_len": 30, "tokens": [1187, 11, 19, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 13, "data_type": "factorization", "kind": "GCD", "txt": "24,4\n These numbers' GCD is: 4", "id": 2311}, {"char_len": 32, "tokens": [10086, 279, 480, 6620, 25, 220, 19695, 3929, 220, 10718, 198, 38, 6620, 25, 220, 22], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 392 --> 161\nGCD: 7", "id": 2312}, {"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, 3971, 220, 220, 4331, 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: 51 53\nThe GCD is 1", "id": 2313}, {"char_len": 25, "tokens": [28336, 25, 220, 5313, 91, 8929, 91, 4103, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 14, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 85|144|52\nGCD: 1", "id": 2314}, {"char_len": 108, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 4103, 765, 220, 1272, 765, 220, 11242, 765, 220, 2031, 765, 220, 20963, 765, 220, 1758, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 32, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n52 | 40 | 177 | 70 | 439 | 35\n\nAnswer: 1", "id": 2315}, {"char_len": 57, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 1272, 674, 220, 1927, 198, 38, 11423, 4279, 48012, 271, 19], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 40 # 36\nGreatest common denominator\n\n4", "id": 2316}, {"char_len": 32, "tokens": [10086, 279, 480, 6620, 25, 220, 5332, 271, 1591, 271, 16874, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 72\n\n28\n\n319\nGCD: 1", "id": 2317}, {"char_len": 87, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 8259, 765, 220, 1114, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n122 | 17\n\nAnswer: 1", "id": 2318}, {"char_len": 42, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 2131, 262, 220, 2287, 262, 220, 4146, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 55 66 256\nGCD: 1", "id": 2319}, {"char_len": 71, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 7699, 405, 1484, 405, 1958, 405, 16085, 405, 20385, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 23, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 107->99->34->283->446\nGreatest common denominator\n\n1", "id": 2320}, {"char_len": 177, "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, 777, 3929, 220, 16874, 3929, 220, 5932, 3929, 220, 17, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 50, "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: 19 --> 319 --> 81 --> 2\nThe GCD is 1", "id": 2321}, {"char_len": 86, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 9748, 201, 10562, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n129\r181\n\nAnswer: 1", "id": 2322}, {"char_len": 167, "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, 765, 220, 9367, 765, 220, 2813, 198, 791, 480, 6620, 374, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 47, "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 | 188 | 77\nThe GCD is 1", "id": 2323}, {"char_len": 37, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 3264, 3929, 220, 9674, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 98 --> 187\nGCD: 1", "id": 2324}, {"char_len": 30, "tokens": [3990, 279, 45958, 1313, 11, 220, 1399, 11, 220, 9565, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd22, 60, 134\nGCD: 2", "id": 2325}, {"char_len": 36, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 3971, 262, 220, 4386, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 51 128\nGCD: 1", "id": 2326}, {"char_len": 52, "tokens": [28336, 25, 220, 972, 11, 8190, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 18,113\nGreatest Common Denominator (GCD): 1", "id": 2327}, {"char_len": 26, "tokens": [28336, 25, 220, 2983, 11, 220, 2983, 11, 220, 508, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 42, 42, 20\nGCD: 2", "id": 2328}, {"char_len": 29, "tokens": [28336, 25, 220, 1419, 11, 220, 21, 11, 220, 1806, 11, 220, 4370, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 23, 6, 37, 54\nGCD: 1", "id": 2329}, {"char_len": 59, "tokens": [28336, 25, 220, 13817, 1174, 220, 2096, 1174, 220, 1032, 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: 327 , 44 , 13\nGreatest Common Denominator (GCD): 1", "id": 2330}, {"char_len": 37, "tokens": [35, 25296, 279, 480, 6620, 271, 9335, 271, 1774, 198, 791, 480, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD\n\n141\n\n45\nThe GCD: 3", "id": 2331}, {"char_len": 84, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 4370, 11, 220, 20, 271, 16533, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n54, 5\n\nAnswer: 1", "id": 2332}, {"char_len": 62, "tokens": [28336, 25, 220, 4645, 220, 220, 8848, 220, 220, 4218, 220, 220, 1135, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 25, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 101 210 86 50\nGreatest Common Denominator (GCD): 1", "id": 2333}, {"char_len": 35, "tokens": [28336, 25, 220, 11286, 11, 220, 1682, 11, 220, 7261, 11, 220, 24, 11, 220, 1544, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 158, 29, 112, 9, 27\nGCD: 1", "id": 2334}, {"char_len": 33, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 1490, 11, 220, 2614, 198, 38, 6620, 25, 220, 19], "tokenizer": "cl100k_base", "tokens_len": 17, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 80, 68\nGCD: 4", "id": 2335}, {"char_len": 33, "tokens": [18257, 704, 279, 480, 6620, 25, 220, 16496, 11, 5538, 198, 38, 6620, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "figure out the GCD: 402,62\nGCD: 2", "id": 2336}, {"char_len": 82, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 17, 11, 220, 1758, 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\n2, 35\n\n\nGCD:1", "id": 2337}, {"char_len": 24, "tokens": [3990, 279, 45958, 8953, 91, 23, 198, 38, 6620, 25, 220, 23], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd168|8\nGCD: 8", "id": 2338}, {"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, 2550, 11, 220, 9390, 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: 199, 126\nThe GCD is 1", "id": 2339}, {"char_len": 24, "tokens": [3990, 279, 45958, 2721, 11, 2790, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 12, "data_type": "factorization", "kind": "GCD", "txt": "find the gcd95,46\nGCD: 1", "id": 2340}, {"char_len": 84, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 2983, 220, 2096, 271, 16533, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n42 44\n\nAnswer: 2", "id": 2341}, {"char_len": 54, "tokens": [28336, 25, 220, 3487, 262, 220, 3226, 198, 38, 11423, 7874, 9973, 31306, 320, 38, 6620, 1680, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 56 57\nGreatest Common Denominator (GCD): 1", "id": 2342}, {"char_len": 84, "tokens": [39314, 374, 264, 1160, 315, 5219, 13, 7531, 872, 12474, 4279, 48012, 382, 15134, 220, 11227, 1432, 38, 6620, 25, 16], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Below is a list of numbers. Find their greatest common denominator.\n\n311 212\n\n\nGCD:1", "id": 2343}, {"char_len": 59, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 2148, 91, 17690, 91, 1484, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 19, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 31|298|99\nGreatest common denominator\n\n1", "id": 2344}, {"char_len": 47, "tokens": [8878, 765, 220, 7699, 765, 220, 8273, 765, 220, 4468, 198, 4314, 5219, 6, 480, 6620, 374, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 20, "data_type": "factorization", "kind": "GCD", "txt": "135 | 107 | 240 | 197\n These numbers' GCD is: 1", "id": 2345}, {"char_len": 57, "tokens": [35, 25296, 279, 480, 6620, 25, 220, 5925, 11, 220, 10148, 198, 38, 11423, 4279, 48012, 271, 16], "tokenizer": "cl100k_base", "tokens_len": 18, "data_type": "factorization", "kind": "GCD", "txt": "Determine the GCD: 91, 137\nGreatest common denominator\n\n1", "id": 2346}, {"char_len": 27, "tokens": [10086, 279, 480, 6620, 25, 220, 18, 1174, 220, 1484, 198, 38, 6620, 25, 220, 18], "tokenizer": "cl100k_base", "tokens_len": 16, "data_type": "factorization", "kind": "GCD", "txt": "Find the GCD: 3 , 99\nGCD: 3", "id": 2347}, {"char_len": 36, "tokens": [28336, 25, 220, 4468, 11, 220, 1954, 11, 220, 1591, 11, 220, 10680, 11, 220, 806, 198, 38, 6620, 25, 220, 16], "tokenizer": "cl100k_base", "tokens_len": 22, "data_type": "factorization", "kind": "GCD", "txt": "Numbers: 197, 90, 28, 165, 11\nGCD: 1", "id": 2348}, {"char_len": 87, "tokens": [10086, 279, 62912, 7874, 9973, 31306, 1990, 279, 2768, 5219, 271, 717, 91, 5538, 91, 1227, 271, 16533, 25, 220, 17], "tokenizer": "cl100k_base", "tokens_len": 21, "data_type": "factorization", "kind": "GCD", "txt": "Find the Greatest Common Denominator between the following numbers\n\n12|62|64\n\nAnswer: 2", "id": 2349}]