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 (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 'Xander had lunch at the cafeteria' is true. - If 'Jack joined the debate club meeting' is true, then 'Liam asked a question after the lecture' is true. - If 'Kelly lost her internet connection during class' is true, then 'David prepare...	{ "answer": "yes", "index": 100, "question": "We know the following rules:\n- If 'Paul forgot to bring his homework' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Jack joined the debate club meeting' is true, then 'Liam asked a question after the lecture' is true.\n- If 'Kelly lost her interne...
<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 'Quinn practiced for the theater play' is true, then 'Clara celebrated a friend’s birthday in the dorm' 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": 101, "question": "We know the following rules:\n- If 'Quinn practiced for the theater play' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'B...
<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 'Olivia submitted her essay before the deadline' is true, then 'Paul forgot to bring his homework' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Quinn practiced for the theater play' is true. - If 'Brian went to the professor’s office hours' is true, t...	{ "answer": "no", "index": 102, "question": "We know the following rules:\n- If 'Olivia submitted her essay before the deadline' is true, then 'Paul forgot to bring his homework' is true.\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Quinn practiced for the theater play' 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 'Noah gathered with his study group in the library' is true, then 'William participated in the sports tournament' is true. - If 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true. - If 'Brian went to the professor’s office hours' is true, t...	{ "answer": "yes", "index": 103, "question": "We know the following rules:\n- If 'Noah gathered with his study group in the library' is true, then 'William participated in the sports tournament' is true.\n- If 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true.\n- If ...
<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 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Samuel volunteered at a campus event' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Y...	{ "answer": "no", "index": 104, "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 'Samuel volunteered at a campus event' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'R...
<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 'Liam asked a question after the lecture' is true, then 'Mia printed notes at the computer lab' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Noah gathered with his study group in the library' is true. - If 'Mia printed notes at the computer lab' is tr...	{ "answer": "yes", "index": 105, "question": "We know the following rules:\n- If 'Liam asked a question after the lecture' is true, then 'Mia printed notes at the computer lab' is true.\n- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Noah gathered with his study group in the library' is tr...
<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 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Alice presented at the science symposium' is true, then 'Yara ...	{ "answer": "yes", "index": 106, "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 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Alice p...
<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 'Xander had lunch at the cafeteria' is true. - If 'David prepared slides for his class talk' is true, then 'Olivia submitted her essay before the deadline' is true. - If 'Mia printed notes at the computer lab' is true, then '...	{ "answer": "no", "index": 107, "question": "We know the following rules:\n- If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'David prepared slides for his class talk' is true, then 'Olivia submitted her essay before the deadline' 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 'William participated in the sports tournament' is true, then 'Yara stayed awake through the night revising' is true. - If 'Quinn practiced for the theater play' is true, then 'David prepared slides for his class talk' is true. - If 'Olivia submitted her essay before the deadline' is t...	{ "answer": "yes", "index": 108, "question": "We know the following rules:\n- If 'William participated in the sports tournament' is true, then 'Yara stayed awake through the night revising' is true.\n- If 'Quinn practiced for the theater play' is true, then 'David prepared slides for his class talk' is true.\n- I...
<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 'Tina voted in the student council elections' is true, then 'Yara stayed awake through the night revising' is true. - If 'Kelly lost her internet connection during class' is true, then 'Mia printed notes at the computer lab' is true. - If 'Clara celebrated a friend’s birthday in the do...	{ "answer": "yes", "index": 109, "question": "We know the following rules:\n- If 'Tina voted in the student council elections' is true, then 'Yara stayed awake through the night revising' 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 '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 'Zach cheered at the football match' is true. - If 'Brian went to the professor’s office hours' is true...	{ "answer": "yes", "index": 110, "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 '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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Paul forgot to bring his homework' is true, then 'Quinn pra...	{ "answer": "yes", "index": 111, "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 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Paul...
<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 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'Isabella met a friend at the campus café' is true, th...	{ "answer": "no", "index": 112, "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 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' 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 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Quinn practiced for the theater play' is true. - If 'William participated in the sports tournament' is t...	{ "answer": "yes", "index": 113, "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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Quinn practiced for the theater play' is true.\n- ...
<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 'David prepared slides for his class talk' is true. - If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Samuel volunteered at a campus event' is true, then 'Quinn practiced for ...	{ "answer": "yes", "index": 114, "question": "We know the following rules:\n- If 'Mia printed notes at the computer lab' is true, then 'David prepared slides for his class talk' is true.\n- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Samuel volunteered...
<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 'William participated in the sports tournament' is true. - If 'Olivia submitted her essay before the deadline' is true, then 'Noah gathered with his study group in the library' is true. - If 'Quinn practiced for the theater play' is tr...	{ "answer": "no", "index": 115, "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 'Olivia submitted her essay before the deadline' is true, then 'Noah gathered with his study group in the library' is tr...
<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 'David prepared slides for his class talk' is true. - If 'Paul forgot to bring his homework' is true, then 'Yara stayed awake through the night revising' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then...	{ "answer": "no", "index": 116, "question": "We know the following rules:\n- If 'Rachel joined a late evening tutorial' is true, then 'David prepared slides for his class talk' is true.\n- If 'Paul forgot to bring his homework' is true, then 'Yara stayed awake through the night revising' is true.\n- If 'Clara cel...
<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 'William participated in the sports tournament' is true. - If 'Brian went to the professor’s office hours' i...	{ "answer": "no", "index": 117, "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 'William participated in the sports tournament' is true...
<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 'Olivia submitted her essay before the deadline' is true, then 'Yara stayed awake through the night revising' is true. - If 'Paul forgot to bring his homework' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Yara stayed awake through the night revising' ...	{ "answer": "yes", "index": 118, "question": "We know the following rules:\n- If 'Olivia submitted her essay before the deadline' is true, then 'Yara stayed awake through the night revising' is true.\n- If 'Paul forgot to bring his homework' is true, then 'Clara celebrated a friend’s birthday in the dorm' 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 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true. - If 'Alice presented at the science symposium' is true, then 'Liam asked a question after the lecture' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Paul for...	{ "answer": "yes", "index": 119, "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 'Alice presented at the science symposium' is true, then 'Liam asked a question after the lecture' is true.\n- If 'Rachel ...
<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 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true. - If 'Quinn practiced for the theater play' is true, then 'Paul forgot to bring his homework' is true. - If 'Brian went to the professor’s office hours' is true, then 'Zach ...	{ "answer": "no", "index": 120, "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 'Quinn practiced for the theater play' is true, then 'Paul forgot to bring his homework' 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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' 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 'Zach cheered at the football match' is ...	{ "answer": "no", "index": 121, "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 'Brian went to the professor’s office hours' is true, then 'Clara celebrated a friend’s birthday in the dorm' 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 'Rachel joined a late evening tutorial' is true, then 'Yara stayed awake through the night revising' is true. - If 'Quinn practiced for the theater play' is true, then 'Rachel joined a late evening tutorial' is true. - If 'Zach cheered at the football match' is true, then 'William part...	{ "answer": "no", "index": 122, "question": "We know the following rules:\n- If 'Rachel joined a late evening tutorial' is true, then 'Yara stayed awake through the night revising' is true.\n- If 'Quinn practiced for the theater play' is true, then 'Rachel joined a late evening tutorial' 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 'Olivia submitted her essay before the deadline' is true, then 'Paul forgot to bring his homework' is true. - 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 'Clara ...	{ "answer": "no", "index": 123, "question": "We know the following rules:\n- If 'Olivia submitted her essay before the deadline' is true, then 'Paul forgot to bring his homework' is true.\n- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Brian went ...
<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 'Quinn practiced for the theater play' is true, then 'Brian went to the professor’s office hours' 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 'Xander had lunch at the cafeteria' is true, the...	{ "answer": "yes", "index": 124, "question": "We know the following rules:\n- If 'Quinn practiced for the theater play' is true, then 'Brian went to the professor’s office hours' 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....
<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 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true. - If 'Alice presented at the science symposium' is true, then 'Clara...	{ "answer": "no", "index": 125, "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 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true.\n- If 'Alice pr...
<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 'Paul forgot to bring his homework' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Noah gathered with his study group in the library' is true, the...	{ "answer": "no", "index": 126, "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 'Paul forgot to bring his homework' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Noah gath...
<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 'Xander had lunch at the cafeteria' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is t...	{ "answer": "no", "index": 127, "question": "We know the following rules:\n- If 'Xander had lunch at the cafeteria' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.\n- If '...
<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 'Zach cheered at the football match' is true. - If 'Alice presented at the science symposium' is true, then 'David prepared slides for his class talk' is true. - If 'William participated in the sports tournament' is true, then ...	{ "answer": "no", "index": 128, "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 'Alice presented at the science symposium' is true, then 'David prepared slides for his class talk' 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 '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 'Alice presented at the science symposium' is true. - If 'William participated in the sports tournament' is true, then 'Xa...	{ "answer": "yes", "index": 129, "question": "We know the following rules:\n- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Olivia submitted her essay before the deadline' is true, then 'Alice presented at the science symposium' is true.\n- If 'William 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 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Samuel volunteered at a campus event' is true, then 'Brian went to the professor’s office hours' is true. - If 'Yara stayed awake through the night revising' is true, then '...	{ "answer": "no", "index": 130, "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 'Samuel volunteered at a campus event' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'Yara st...
<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 'David prepared slides for his class talk' is true. - If 'Rachel joined a late evening tutorial' is true, then 'Alice presented at the science symposium' is true. - If 'Zach cheered at the football match' is true, then 'Xander ha...	{ "answer": "no", "index": 131, "question": "We know the following rules:\n- If 'Alice presented at the science symposium' is true, then 'David prepared slides for his class talk' is true.\n- If 'Rachel joined a late evening tutorial' is true, then 'Alice presented at the science symposium' is true.\n- If 'Zach c...
<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 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true. - If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true. - If 'David prepared slides for his class talk' is true, then 'Quinn...	{ "answer": "yes", "index": 132, "question": "We know the following rules:\n- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.\n- If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.\n- If 'David p...
<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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Paul forgot to bring his homework' is true, then 'Clara c...	{ "answer": "no", "index": 133, "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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Pau...
<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 '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 'X...	{ "answer": "yes", "index": 134, "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 'Mia printed notes at the computer lab' is true, then 'Noah gathered with his study group in the library' is true.\n- If 'Ali...
<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 '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 ...	{ "answer": "yes", "index": 135, "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 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' 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 'Olivia submitted her essay before the deadline' is true, then 'Isabella met a friend at the campus café' is true. - If 'Umar missed the bus to campus' is true, then 'Xander had lunch at the cafeteria' is true. - If 'Alice presented at the science symposium' is true, then 'Clara celebr...	{ "answer": "yes", "index": 136, "question": "We know the following rules:\n- If 'Olivia submitted her essay before the deadline' is true, then 'Isabella met a friend at the campus café' is true.\n- If 'Umar missed the bus to campus' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Alice presente...
<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 'Paul forgot to bring his homework' is true. - If 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true. - If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presen...	{ "answer": "no", "index": 137, "question": "We know the following rules:\n- If 'Xander had lunch at the cafeteria' is true, then 'Paul forgot to bring his homework' is true.\n- If 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true.\n- If 'Clara celebrated a frie...
<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 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true. - If 'William participated in the sports tournament' is true, then 'Xa...	{ "answer": "no", "index": 138, "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 'Paul forgot to bring his homework' is true, then 'Quinn practiced for the theater play' is true.\n- If 'William pa...
<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 '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 'Clara celebrated a friend’s birthday in the dorm' is true. - If 'Olivia submitted her essay before the deadline' is true, th...	{ "answer": "no", "index": 139, "question": "We know the following rules:\n- If 'Yara stayed awake through the night revising' is true, then 'Xander had lunch at the cafeteria' is true.\n- If 'Xander had lunch at the cafeteria' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.\n- If 'Olivi...