Split (3)

train · 136k rows

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answer string	metadata dict	data_source string	prompt string	extra_info dict
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true. - If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'David prepared slides for his class talk' is true, then 'Xan...	{ "answer": "yes", "index": 0, "question": "We know the following rules:\n- If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true.\n- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'David p...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true. - If 'Brian went to the professor’s office hours' is true, the...	{ "answer": "yes", "index": 1, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true.\n- If 'Bri...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Quinn practiced for the theater play' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Olivi...	{ "answer": "yes", "index": 2, "question": "We know the following rules:\n- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Quinn practiced for the theater play' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Clara celebrated ...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'William participated in the sports tournament' is true, then...	{ "answer": "yes", "index": 3, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.\n- If 'William...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Alice presented at the science symposium' is true, then 'Yara stayed awake through the night revising' is true. - If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Brian went to the professor’s office hours' is true, the...	{ "answer": "yes", "index": 4, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'Yara stayed awake through the night revising' is true.\n- If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Bri...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true. - If 'Quinn practiced for the theater play' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice p...	{ "answer": "yes", "index": 5, "question": "We know the following rules:\n- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Quinn practiced for the theater play' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Clara celebrated a ...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Brian went to the professor’s office hours' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Yara stayed awake through the night revising' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Alice presented at the science symposium' is true,...	{ "answer": "no", "index": 6, "question": "We know the following rules:\n- If 'Brian went to the professor’s office hours' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Yara stayed awake through the night revising' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Mia printed notes at the computer lab' is true. - If 'Mia printed notes at the computer lab' is true, then 'Olivia submitted her essay before the deadline' is true. - If 'Yara stayed awake through the night revising' is ...	{ "answer": "yes", "index": 7, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Mia printed notes at the computer lab' is true.\n- If 'Mia printed notes at the computer lab' is true, then 'Olivia submitted her essay before the deadline' is true.\n- ...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Brian went to the professor’s office hours' is true, then 'Davi...	{ "answer": "no", "index": 8, "question": "We know the following rules:\n- If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Brian went ...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true. - If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Mia printed notes at the computer lab' is true, then 'Xan...	{ "answer": "no", "index": 9, "question": "We know the following rules:\n- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Mia p...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true. - If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Noah gathered with his study group in the library' is tr...	{ "answer": "no", "index": 10, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true.\n- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Noa...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Mia printed notes at the computer lab' is true, then 'Paul forgot to bring his homework' is true. - If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true. - If 'Zach cheered at the football match' is true, then 'William part...	{ "answer": "yes", "index": 11, "question": "We know the following rules:\n- If 'Mia printed notes at the computer lab' is true, then 'Paul forgot to bring his homework' is true.\n- If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true.\n- If 'Zach chee...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true. - If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true. - If 'Yara stayed awake through the night revising' is true, then 'Xander had ...	{ "answer": "no", "index": 12, "question": "We know the following rules:\n- If 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true.\n- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Yara stayed awake t...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true. - If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Xander had lunch at the cafeteria' is true, then 'Za...	{ "answer": "yes", "index": 13, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true.\n- If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Paul forgot to bring his homework' is true, then 'David prepared slides for his class talk' is true. - If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true. - If 'Yara stayed awake through the night revising' is true, then 'X...	{ "answer": "yes", "index": 14, "question": "We know the following rules:\n- If 'Paul forgot to bring his homework' is true, then 'David prepared slides for his class talk' is true.\n- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Yara sta...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Xander had lunch at the cafeteria' is true, then 'Rachel joined a late evening tutorial' is true. - If 'Brian went to the professor’s office hours' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Yara stayed awake through the night revising' is true, th...	{ "answer": "no", "index": 15, "question": "We know the following rules:\n- If 'Xander had lunch at the cafeteria' is true, then 'Rachel joined a late evening tutorial' is true.\n- If 'Brian went to the professor’s office hours' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Yara...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Zach cheered at the football match' is true, then 'Paul forgot to bring his homework' is true. - If 'Frank stayed in the dorm to study' is true, then 'Henry presented his project in class' is true. - If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the fo...	{ "answer": "no", "index": 16, "question": "We know the following rules:\n- If 'Zach cheered at the football match' is true, then 'Paul forgot to bring his homework' is true.\n- If 'Frank stayed in the dorm to study' is true, then 'Henry presented his project in class' is true.\n- If 'Brian went to the professor’...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'David prepared slides for his class talk' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true. - If 'William participated in the sports tournament' is true, then 'Xan...	{ "answer": "no", "index": 17, "question": "We know the following rules:\n- If 'David prepared slides for his class talk' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true.\n- If 'William part...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Samuel volunteered at a campus event' is true, then 'William participated in the sports tournament' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true. - If 'Xander had lunch at the cafeteria' is true, then 'Rachel joined...	{ "answer": "no", "index": 18, "question": "We know the following rules:\n- If 'Samuel volunteered at a campus event' is true, then 'William participated in the sports tournament' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true.\n- If 'Xander had...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Mia printed notes at the computer lab' is true, then 'Noah gathered with his study group in the library' is true. - If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true. - If 'Xander had lunch at the cafeteria' is true, then ...	{ "answer": "yes", "index": 19, "question": "We know the following rules:\n- If 'Mia printed notes at the computer lab' is true, then 'Noah gathered with his study group in the library' is true.\n- If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.\n-...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Mia printed notes at the computer lab' is true, then 'Noah gathered with his study group in the library' is true. - If 'Noah gathered with his study group in the library' is true, then 'Zach cheered at the football match' is true. - If 'William participated in the sports tournament' i...	{ "answer": "yes", "index": 20, "question": "We know the following rules:\n- If 'Mia printed notes at the computer lab' is true, then 'Noah gathered with his study group in the library' is true.\n- If 'Noah gathered with his study group in the library' is true, then 'Zach cheered at the football match' is true.\n...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Victoria attended the career fair' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Olivia submitted her essay before the deadline' is true, then 'Quinn practiced for the theater play' is true. - If 'Kelly lost her internet connection during class' is true, then 'Yara ...	{ "answer": "yes", "index": 21, "question": "We know the following rules:\n- If 'Victoria attended the career fair' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Olivia submitted her essay before the deadline' is true, then 'Quinn practiced for the theater play' is true.\n- If 'Kelly lost her ...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'David prepared slides for his class talk' is true, then 'Kelly lost her internet connection during class' is true. - If 'Kelly lost her internet connection during class' is true, then 'Mia printed notes at the computer lab' is true. - If 'Brian went to the professor’s office hours' is...	{ "answer": "yes", "index": 22, "question": "We know the following rules:\n- If 'David prepared slides for his class talk' is true, then 'Kelly lost her internet connection during class' is true.\n- If 'Kelly lost her internet connection during class' is true, then 'Mia printed notes at the computer lab' is true....
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true. - If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Olivia submitted her essay before the deadline' is true, then 'Paul ...	{ "answer": "no", "index": 23, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Olivia submitte...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Yara stayed awake through the night revising' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true. - If 'Zach cheered at the football match' is true...	{ "answer": "no", "index": 24, "question": "We know the following rules:\n- If 'Yara stayed awake through the night revising' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is tru...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Rachel joined a late evening tutorial' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true. - If 'Brian went to the professor’s office hours' is true, then 'David pre...	{ "answer": "no", "index": 25, "question": "We know the following rules:\n- If 'Rachel joined a late evening tutorial' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true.\n- If 'Brian went to t...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Brian went to the professor’s office hours' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Zach cheered at the football match' is true, then 'William participat...	{ "answer": "no", "index": 26, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Brian went to the professor’s office hours' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Zach cheered at ...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Zach cheered at the football match' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true. - If 'Yara stayed awake through the night revising' is true, then 'Z...	{ "answer": "yes", "index": 27, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Zach cheered at the football match' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Samuel volunteered at a campus event' is true.\n- If 'Yara sta...
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Xander had lunch at the cafeteria' is true, then 'Quinn practiced for the theater play' is true. - If 'Rachel joined a late evening tutorial' is true, then 'William participated in the sports tournament' is true. - If 'Yara stayed awake through the night revising' is true, then 'Xande...	{ "answer": "no", "index": 28, "question": "We know the following rules:\n- If 'Xander had lunch at the cafeteria' is true, then 'Quinn practiced for the theater play' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'William participated in the sports tournament' is true.\n- If 'Yara stayed a...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true. - If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Noah gathered with his study group in the library' is tru...	{ "answer": "no", "index": 29, "question": "We know the following rules:\n- If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.\n- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Noah...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Umar missed the bus to campus' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Kelly lost her internet connection during class' is true, then 'Mia...	{ "answer": "no", "index": 30, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Umar missed the bus to campus' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Kelly lost her...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Tina voted in the student council elections' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'Jack joined the debate club meeting' is true, then 'Clara celebra...	{ "answer": "yes", "index": 31, "question": "We know the following rules:\n- If 'Tina voted in the student council elections' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.\n- If 'Jack joined...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Mia printed notes at the computer lab' is true, then 'Olivia submitted her essay before the deadline' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true. - If 'Brian went to the professor’s office hours' is...	{ "answer": "no", "index": 32, "question": "We know the following rules:\n- If 'Mia printed notes at the computer lab' is true, then 'Olivia submitted her essay before the deadline' is true.\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true.\...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true. - If 'Paul forgot to bring his homework' is true, then 'David prepared slides for his class talk' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Paul for...	{ "answer": "no", "index": 33, "question": "We know the following rules:\n- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Paul forgot to bring his homework' is true, then 'David prepared slides for his class talk' is true.\n- If 'Rachel jo...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true. - If 'Victoria attended the career fair' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Liam asked a question after the lecture' is true, then 'Zach ch...	{ "answer": "no", "index": 34, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true.\n- If 'Victoria attended the career fair' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Liam asked...
<think> <step>We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Alice p...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Noah gathered with his study group in the library' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Mia printed notes at the computer lab' is true, then 'Yara stayed awake through the night revising' is true. - If 'Paul forgot to bring his homework' is t...	{ "answer": "yes", "index": 35, "question": "We know the following rules:\n- If 'Noah gathered with his study group in the library' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Mia printed notes at the computer lab' is true, then 'Yara stayed awake through the night revising' i...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Paul forgot to bring his homework' is true, then 'Rachel joined a late evening tutorial' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Jack joined the debate club meeting' is true. - If 'David prepared slides for his class talk' is true, then 'Brian w...	{ "answer": "yes", "index": 36, "question": "We know the following rules:\n- If 'Paul forgot to bring his homework' is true, then 'Rachel joined a late evening tutorial' is true.\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Jack joined the debate club meeting' is true.\n- If 'David prep...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'Noah gathered with his study group in the library' is true, then 'Olivia submitted her essay before the deadline' is true. - If 'Olivia submitted her essay before the deadline...	{ "answer": "yes", "index": 37, "question": "We know the following rules:\n- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.\n- If 'Noah gathered with his study group in the library' is true, then 'Olivia submitted her essay before the deadline' is true....
<think> <step>We know that If if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).</step> <step>We know that If (if ('Brian w...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Paul forgot to bring his homework' is true. - If 'Olivia submitted her essay before the deadline' is true, then 'Quinn practiced for the theater play' is true. - If 'Quinn practiced for the theater play' is true, then 'R...	{ "answer": "no", "index": 38, "question": "We know the following rules:\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Paul forgot to bring his homework' is true.\n- If 'Olivia submitted her essay before the deadline' is true, then 'Quinn practiced for the theater play' is true.\n- If 'Q...
<think> <step>We know that If (if ('Alice presented at the science symposium' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('David prepared slides for his class talk' is true)) and (('David prepared slides for his clas...	{ "theme": "university" }	logic-implication	We know the following rules: - If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Olivia submitted her essay before the deadline' is true. - If 'Henry presented his project in class' is true, then 'Jack ...	{ "answer": "yes", "index": 39, "question": "We know the following rules:\n- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Olivia submitted her essay before the deadline' is true.\n- If 'Henr...