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<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-...
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