We know the following rules:
- If 'Brian went to the professor’s office hours' 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 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- ('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is false).
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of (('Brian went to the professor’s office hours' is true) and ('David prepared slides for his class talk' is true)) is false.?

Answer: no

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false))), then ('Brian went to the professor’s office hours' is false) or ('David prepared slides for his class talk' is false).

However, we don't have the following information provided: (¬'Clara celebrated a friend’s birthday in the dorm' ∨ ¬'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' 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, then 'Zach cheered at the football match' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('William participated in the sports tournament' is true) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: yes

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 (('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true).

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('Brian went to the professor’s office hours' is true), then ('David prepared slides for his class talk' is true)) and (('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true).

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is true.

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)) and ('Clara celebrated a friend’s birthday in the dorm' is true), then 'David prepared slides for his class talk' is true.

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


We know the following rules:
- 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 true, then 'Alice presented at the science symposium' is true.
- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of 'Alice presented at the science symposium' is true.?

Answer: no

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('David prepared slides for his class talk' is true), then 'Clara celebrated a friend’s birthday in the dorm' is true.

However, we don't have the following information provided: 'David prepared slides for his class talk'. Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Alice presented at the science symposium' is true.
- If 'Alice presented at the science symposium' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is false.

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is false.?

Answer: no

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).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is false.

However, we don't have the following information provided: ('David prepared slides for his class talk' → 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Zach cheered at the football match' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).?

Answer: no

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true))), then ('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' ∨ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- 'Zach cheered at the football match' is true.

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is false.?

Answer: no

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)) and ('David prepared slides for his class talk' is false), then 'Clara celebrated a friend’s birthday in the dorm' is false.

However, we don't have the following information provided: ¬'David prepared slides for his class talk'. Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Zach cheered at the football match' is true.
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).
- ('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) or ('Brian went to the professor’s office hours' is true).?

Answer: yes

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('David prepared slides for his class talk' is false) or ('Brian went to the professor’s office hours' is true).


We know the following rules:
- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Zach cheered at the football match' is true, then 'Victoria attended the career fair' is true.
- If 'Brian went to the professor’s office hours' 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 presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- ('Victoria attended the career fair' is false) or ('William participated in the sports tournament' is true).
- ('William participated in the sports tournament' is false) or ('Yara stayed awake through the night revising' is false).

Can we draw a conclusion about the truth of ('Brian went to the professor’s office hours' is false) and ('Clara celebrated a friend’s birthday in the dorm' is false).?

Answer: no

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).

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 (('Brian went to the professor’s office hours' is false) or ('David prepared slides for his class talk' is false))), then ('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).

However, we don't have the following information provided: (¬'Clara celebrated a friend’s birthday in the dorm' ∨ ¬'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Zach cheered at the football match' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is false) or ('Alice presented at the science symposium' is false).
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('Zach cheered at the football match' is false) or ('Brian went to the professor’s office hours' is false).?

Answer: yes

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false))), then ('Brian went to the professor’s office hours' is false) or ('David prepared slides for his class talk' is false).

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


We know the following rules:
- If 'Brian went to the professor’s office hours' 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 'Zach cheered at the football match' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is true.
- ('Zach cheered at the football match' is false) or ('Alice presented at the science symposium' is true).
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Zach cheered at the football match' is false).

Can we draw a conclusion about the truth of 'Alice presented at the science symposium' is true.?

Answer: no

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('David prepared slides for his class talk' is true), then 'Clara celebrated a friend’s birthday in the dorm' is true.

However, we don't have the following information provided: (¬'David prepared slides for his class talk' ∨ 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'William participated in the sports tournament' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- 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 'William participated in the sports tournament' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Alice presented at the science symposium' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- ('Zach cheered at the football match' is false) or ('William participated in the sports tournament' is true).
- ('Xander had lunch at the cafeteria' is false) or ('Zach cheered at the football match' is false).

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).?

Answer: yes

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 ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Brian went to the professor’s office hours' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false))), then ('Alice presented at the science symposium' is false) or ('David prepared slides for his class talk' is false).


We know the following rules:
- If 'Brian went to the professor’s office hours' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true).

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: no

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)) and ('Clara celebrated a friend’s birthday in the dorm' is true), then 'David prepared slides for his class talk' is true.

However, we don't have the following information provided: 'David prepared slides for his class talk'. Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Brian went to the professor’s office hours' is true.
- If 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is false.
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is false.?

Answer: no

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is false.

However, we don't have the following information provided: ('David prepared slides for his class talk' → 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Tina voted in the student council elections' is true, then 'Umar missed the bus to campus' is true.
- 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 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' is true, then 'William participated in the sports tournament' is true.
- If 'Umar missed the bus to campus' is true, then 'Yara stayed awake through the night revising' is true.
- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Umar missed the bus to campus' is true, then 'Victoria attended the career fair' is true.

Now we know that:
- ('Xander had lunch at the cafeteria' is false) or ('Tina voted in the student council elections' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: yes

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).


We know the following rules:
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- 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 'Victoria attended the career fair' is true.
- If 'Victoria attended the career fair' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Zach cheered at the football match' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- 'Clara celebrated a friend’s birthday in the dorm' is false.
- ('Umar missed the bus to campus' is true) or ('William participated in the sports tournament' is true).

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: yes

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 (('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true).

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('Brian went to the professor’s office hours' is true), then ('David prepared slides for his class talk' is true)) and (('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true).

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is true.


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 'Umar missed the bus to campus' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true.
- 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 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Zach cheered at the football match' is true.
- If 'Tina voted in the student council elections' is true, then 'Umar missed the bus to campus' is true.
- If 'Victoria attended the career fair' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Tina voted in the student council elections' is true) or ('William participated in the sports tournament' is true).

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true).?

Answer: no

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' ∨ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Zach cheered at the football match' 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 'Xander had lunch at the cafeteria' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.

Can we draw a conclusion about the truth of ('Alice presented at the science symposium' is false) or ('Zach cheered at the football match' is true).?

Answer: no

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).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' → 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If ('Zach cheered at the football match' is true) and ('David prepared slides for his class talk' is true), then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('William participated in the sports tournament' is true) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Brian went to the professor’s office hours' is true.?

Answer: yes


We know the following rules:
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' 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, then 'Brian went to the professor’s office hours' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- ('Zach cheered at the football match' is false) or ('Brian went to the professor’s office hours' is false).

Can we draw a conclusion about the truth of (('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true)) is false.?

Answer: no

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 (('Brian went to the professor’s office hours' is false) or ('David prepared slides for his class talk' is false))), then ('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).

We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false), then (('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true)) is false.


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' 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 true, then 'Brian went to the professor’s office hours' is true.
- If 'David prepared slides for his class talk' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Zach cheered at the football match' is true).
- 'Alice presented at the science symposium' is false.

Can we draw a conclusion about the truth of 'Zach cheered at the football match' is true.?

Answer: yes

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).

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)) and ('David prepared slides for his class talk' is false), then 'Clara celebrated a friend’s birthday in the dorm' is false.

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


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 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is false) or ('Zach cheered at the football match' is true).
- ('Zach cheered at the football match' is false) or ('Brian went to the professor’s office hours' is false).

Can we draw a conclusion about the truth of (('Yara stayed awake through the night revising' is false) and ('Alice presented at the science symposium' is true)) is false.?

Answer: no

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).

However, we don't have the following information provided: ¬('Clara celebrated a friend’s birthday in the dorm' ∧ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is false.
- ('David prepared slides for his class talk' is false) or ('Alice presented at the science symposium' is true).

Can we draw a conclusion about the truth of 'Alice presented at the science symposium' is true.?

Answer: yes

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is false.


We know the following rules:
- 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, then 'Yara stayed awake through the night revising' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Can we draw a conclusion about the truth of If 'David prepared slides for his class talk' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: no

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: ('David prepared slides for his class talk' → 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- 'Zach cheered at the football match' is false.
- ('Zach cheered at the football match' is true) or ('Alice presented at the science symposium' is true).

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: no

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is true.

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)) and ('Clara celebrated a friend’s birthday in the dorm' is true), then 'David prepared slides for his class talk' is true.


We know the following rules:
- If 'Xander had lunch at the cafeteria' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Alice presented at the science symposium' is true, then 'Zach cheered at the football match' is true.
- If 'Zach cheered at the football match' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Alice presented at the science symposium' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Zach cheered at the football match' is false) or ('William participated in the sports tournament' is true).
- ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).

Can we draw a conclusion about the truth of ('Brian went to the professor’s office hours' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: no

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true))), then ('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('Brian went to the professor’s office hours' is true), then ('David prepared slides for his class talk' is true)) and (('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' → 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Yara stayed awake through the night revising' 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 'Zach cheered at the football match' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is true).

Can we draw a conclusion about the truth of ('Brian went to the professor’s office hours' is true) or ('Alice presented at the science symposium' is true).?

Answer: no

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true))), then ('Brian went to the professor’s office hours' is true) or ('Alice presented at the science symposium' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' ∨ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Brian went to the professor’s office hours' 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 '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.

Can we draw a conclusion about the truth of If 'David prepared slides for his class talk' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: yes

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).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).


We know the following rules:
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' 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 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Zach cheered at the football match' is true).
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: yes

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Alice presented at the science symposium' is true).

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


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 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- (('Yara stayed awake through the night revising' is true) and ('Zach cheered at the football match' is true)) is false.

Can we draw a conclusion about the truth of ('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false).?

Answer: yes

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true)) is false, then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).


We know the following rules:
- If 'Xander had lunch at the cafeteria' 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 'Zach cheered at the football match' is true.
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- ('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is false).
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).?

Answer: no

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'William participated in the sports tournament' is true.
- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Victoria attended the career fair' 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 true, then 'Zach cheered at the football match' is true.
- If 'Alice presented at the science symposium' is true, then 'Yara stayed awake through the night revising' is true.
- If 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- (('Victoria attended the career fair' is true) and ('William participated in the sports tournament' is false)) is false.

Can we draw a conclusion about the truth of ('Brian went to the professor’s office hours' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false).?

Answer: no

However, we don't have the following information provided: ¬('Clara celebrated a friend’s birthday in the dorm' ∧ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Victoria attended the career fair' is true, then 'Yara stayed awake through the night revising' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Umar missed the bus to campus' is true, then 'Victoria attended the career fair' is true.
- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Alice presented at the science symposium' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true.
- If 'David prepared slides for his class talk' is true, then 'Umar missed the bus to campus' is true.

Now we know that:
- ('Umar missed the bus to campus' is true) or ('William participated in the sports tournament' is true).

Can we draw a conclusion about the truth of ('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true).?

Answer: no

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 (('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true).


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 'Alice presented at the science symposium' 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 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is true) or ('Zach cheered at the football match' is true).
- 'Yara stayed awake through the night revising' is false.

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: yes

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is true.

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)) and ('Clara celebrated a friend’s birthday in the dorm' is true), then 'David prepared slides for his class talk' is true.


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 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- 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 'Yara stayed awake through the night revising' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is false.
- ('Xander had lunch at the cafeteria' is true) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: no

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('Brian went to the professor’s office hours' is true), then ('David prepared slides for his class talk' is true)) and (('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' → 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Victoria attended the career fair' is true, then 'William participated in the sports tournament' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'William participated in the sports tournament' is true, then 'Zach cheered at the football match' is true.
- If 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Brian went to the professor’s office hours' is true.

Now we know that:
- ('Victoria attended the career fair' is true) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('Zach cheered at the football match' is true) or ('Alice presented at the science symposium' is true).?

Answer: yes


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.
- If 'David prepared slides for his class talk' 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 'Alice presented at the science symposium' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.

Can we draw a conclusion about the truth of 'Brian went to the professor’s office hours' is true.?

Answer: yes

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)) and ('David prepared slides for his class talk' is false), then 'Clara celebrated a friend’s birthday in the dorm' is false.

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is false.


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If 'David prepared slides for his class talk' is true, then 'William participated in the sports tournament' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('William participated in the sports tournament' is true) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: no


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Yara stayed awake through the night revising' 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 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'David prepared slides for his class talk' is true, then 'William participated in the sports tournament' is true.

Now we know that:
- ('Zach cheered at the football match' is false) or ('William participated in the sports tournament' is true).

Can we draw a conclusion about the truth of ('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true).?

Answer: yes


We know the following rules:
- If 'Brian went to the professor’s office hours' 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.

Now we know that:
- ('Zach cheered at the football match' is false) or ('Alice presented at the science symposium' is true).
- ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of If 'Brian went to the professor’s office hours' is true, then ('Alice presented at the science symposium' is true) and ('David prepared slides for his class talk' is true).?

Answer: yes

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).

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' 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)), then if ('Clara celebrated a friend’s birthday in the dorm' is true), then (('Brian went to the professor’s office hours' is true) and ('David prepared slides for his class talk' is true)).


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 'Alice presented at the science symposium' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('David prepared slides for his class talk' is false) or ('Alice presented at the science symposium' is true).
- 'Brian went to the professor’s office hours' is false.

Can we draw a conclusion about the truth of 'Alice presented at the science symposium' is false.?

Answer: no

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).


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 'Alice presented at the science symposium' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Clara celebrated a friend’s birthday in the dorm' is true, then 'David prepared slides for his class talk' is true.

Now we know that:
- 'Alice presented at the science symposium' is true.
- ('Brian went to the professor’s office hours' is false) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: no

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('David prepared slides for his class talk' is true), then 'Clara celebrated a friend’s birthday in the dorm' is true.


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.

Now we know that:
- ('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true).
- 'Alice presented at the science symposium' is false.

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: yes

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


We know the following rules:
- If 'Zach cheered at the football match' 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 'Xander had lunch at the cafeteria' 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 'Brian went to the professor’s office hours' is true.
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.

Now we know that:
- ('Xander had lunch at the cafeteria' is true) or ('Zach cheered at the football match' is true).
- 'Yara stayed awake through the night revising' is false.

Can we draw a conclusion about the truth of 'Brian went to the professor’s office hours' is true.?

Answer: yes


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' 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 'Alice presented at the science symposium' is true.
- If 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- 'Clara celebrated a friend’s birthday in the dorm' is false.
- ('Brian went to the professor’s office hours' is false) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Yara stayed awake through the night revising' is true.?

Answer: yes


We know the following rules:
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' 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, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If 'David prepared slides for his class talk' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('William participated in the sports tournament' is true) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: yes


We know the following rules:
- 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, then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).
- ('Yara stayed awake through the night revising' is false) or ('Zach cheered at the football match' is true).
- 'Zach cheered at the football match' is false.

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: no


We know the following rules:
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' is true.
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Zach cheered at the football match' is true, then 'David prepared slides for his class talk' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('William participated in the sports tournament' is true) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Brian went to the professor’s office hours' is true.?

Answer: yes


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Alice presented at the science symposium' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Zach cheered at the football match' is true.
- If 'Yara stayed awake through the night revising' is true, then 'William participated in the sports tournament' is true.
- If 'David prepared slides for his class talk' 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 'William participated in the sports tournament' is true.

Now we know that:
- (('William participated in the sports tournament' is false) and ('Xander had lunch at the cafeteria' is true)) is false.

Can we draw a conclusion about the truth of ('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false).?

Answer: no

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true)) is false, then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).


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 'Xander had lunch at the cafeteria' is true, then 'Alice presented at the science symposium' 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 'Zach cheered at the football match' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Yara stayed awake through the night revising' is true.

Now we know that:
- ('Zach cheered at the football match' is false) or ('William participated in the sports tournament' is true).
- ('William participated in the sports tournament' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) and ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: no

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: (¬'David prepared slides for his class talk' ∨ 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.
- 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 'David prepared slides for his class talk' is true.

Now we know that:
- 'Alice presented at the science symposium' is true.
- ('Brian went to the professor’s office hours' is false) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: yes


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.

Now we know that:
- ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).
- 'Brian went to the professor’s office hours' is false.
- ('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is false.?

Answer: no


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 '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.

Now we know that:
- 'Clara celebrated a friend’s birthday in the dorm' is false.
- ('Yara stayed awake through the night revising' is false) or ('Zach cheered at the football match' is true).
- ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).

Can we draw a conclusion about the truth of 'David prepared slides for his class talk' is true.?

Answer: yes

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 (('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true).

We know that If (('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is true.


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 'Clara celebrated a friend’s birthday in the dorm' is true, then 'Alice presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If 'William participated in the sports tournament' is true, then 'Zach cheered at the football match' is true.
- If 'Victoria attended the career fair' is true, then 'William participated in the sports tournament' is true.
- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is false) or ('Victoria attended the career fair' is true).

Can we draw a conclusion about the truth of If 'Clara celebrated a friend’s birthday in the dorm' is true, then ('Brian went to the professor’s office hours' is true) and ('David prepared slides for his class talk' is true).?

Answer: yes


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 'Yara stayed awake through the night revising' is true, then 'Zach cheered at the football match' is true.
- If 'Alice presented at the science symposium' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).?

Answer: no

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).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: ('Clara celebrated a friend’s birthday in the dorm' → 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Yara stayed awake through the night revising' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).
- ('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is false).

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).?

Answer: no

We know that If (if ('Clara celebrated a friend’s birthday in the dorm' is true), then ('Brian went to the professor’s office hours' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is false))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false).


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 'Yara stayed awake through the night revising' is true, then 'Umar missed the bus to campus' is true.
- If 'Umar missed the bus to campus' is true, then 'Victoria attended the career fair' is true.
- If 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- If 'Alice presented at the science symposium' is true, then 'Yara stayed awake through the night revising' is true.
- 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) and ('Victoria attended the career fair' is true), then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Victoria attended the career fair' is false) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of ('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is false).?

Answer: no

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 (('Brian went to the professor’s office hours' is false) or ('David prepared slides for his class talk' is false))), then ('Alice presented at the science symposium' is false) or ('Clara celebrated a friend’s birthday in the dorm' is false).

However, we don't have the following information provided: (¬'Clara celebrated a friend’s birthday in the dorm' ∨ ¬'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' 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 'William participated in the sports tournament' is true, then 'Xander had lunch at the cafeteria' is true.
- 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 'William participated in the sports tournament' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.

Now we know that:
- ('Brian went to the professor’s office hours' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) and ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: no

We know that If ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true), then if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' 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 class talk' is false) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Alice presented at the science symposium' is true).


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 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'William participated in the sports tournament' is true, then 'Zach cheered at the football match' is true.
- If 'Zach cheered at the football match' is true, then 'Brian went to the professor’s office hours' is true.
- If 'Victoria attended the career fair' is true, then 'William participated in the sports tournament' is true.
- If 'Alice presented at the science symposium' 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 'Yara stayed awake through the night revising' is true.

Now we know that:
- 'Xander had lunch at the cafeteria' is false.
- ('Victoria attended the career fair' is true) or ('Xander had lunch at the cafeteria' is true).

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is true.?

Answer: no

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('Brian went to the professor’s office hours' is true), then ('David prepared slides for his class talk' is true)) and (('Alice presented at the science symposium' is true) or ('Brian went to the professor’s office hours' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is true) or ('David prepared slides for his class talk' is true).

However, we don't have the following information provided: ¬'David prepared slides for his class talk'. Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- 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 'David prepared slides for his class talk' is true.

Now we know that:
- 'Brian went to the professor’s office hours' is false.

Can we draw a conclusion about the truth of 'Clara celebrated a friend’s birthday in the dorm' is false.?

Answer: no

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)) and ('David prepared slides for his class talk' is false), then 'Clara celebrated a friend’s birthday in the dorm' is false.

We know that If (if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ('Clara celebrated a friend’s birthday in the dorm' is false), then 'David prepared slides for his class talk' is false.


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 'David prepared slides for his class talk' is true, then 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- ('Brian went to the professor’s office hours' is false) or ('Yara stayed awake through the night revising' is true).
- ('Yara stayed awake through the night revising' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).?

Answer: yes

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).

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 class talk' is false) or ('Alice presented at the science symposium' is true))), then ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is true).

We know that If (if ('Alice presented at the science symposium' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Brian went to the professor’s office hours' is true)) and (('Brian went to the professor’s office hours' is false) or ('Alice presented at the science symposium' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

Therefore, since we know all the rules and premises, we can draw a conclusion about the truth of the conclusion.


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 'Yara stayed awake through the night revising' is true, then 'David prepared slides for his class talk' is true.
- If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- ('Yara stayed awake through the night revising' is false) or ('Zach cheered at the football match' is true).
- ('Zach cheered at the football match' is false) or ('Brian went to the professor’s office hours' is false).

Can we draw a conclusion about the truth of (('Yara stayed awake through the night revising' is true) and ('Alice presented at the science symposium' is false)) is false.?

Answer: no

We know that If ('Clara celebrated a friend’s birthday in the dorm' is false) or ('David prepared slides for his class talk' is false), then (('Clara celebrated a friend’s birthday in the dorm' is true) and ('David prepared slides for his class talk' is true)) is false.

However, we don't have the following information provided: ¬('Clara celebrated a friend’s birthday in the dorm' ∧ 'David prepared slides for his class talk'). Therefore, we cannot draw a conclusion about the truth of conclusion.


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 'Zach cheered at the football match' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- If 'Brian went to the professor’s office hours' is true, then 'David prepared slides for his class talk' is true.
- If 'Alice presented at the science symposium' is true, then 'Clara celebrated a friend’s birthday in the dorm' is true.

Now we know that:
- 'Zach cheered at the football match' is false.

Can we draw a conclusion about the truth of 'Alice presented at the science symposium' is true.?

Answer: yes


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' 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) and ('David prepared slides for his class talk' is true), then 'Zach cheered at the football match' is true.

Now we know that:
- ('Xander had lunch at the cafeteria' is true) or ('Zach cheered at the football match' is true).
- ('Xander had lunch at the cafeteria' is false) or ('Yara stayed awake through the night revising' is true).

Can we draw a conclusion about the truth of ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).?

Answer: yes

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 (('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true))), then ('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true).


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 '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 'Alice presented at the science symposium' is true.
- If 'Zach cheered at the football match' is true, then 'David prepared slides for his class talk' is true.

Can we draw a conclusion about the truth of ('Clara celebrated a friend’s birthday in the dorm' is false) or ('Brian went to the professor’s office hours' is false).?

Answer: no

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).

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Alice presented at the science symposium' is true)) and (('Alice presented at the science symposium' is false) or ('Brian went to the professor’s office hours' is true))), then ('David prepared slides for his class talk' is false) or ('Clara celebrated a friend’s birthday in the dorm' is true).

However, we don't have the following information provided: (¬'David prepared slides for his class talk' ∨ 'Clara celebrated a friend’s birthday in the dorm'). Therefore, we cannot draw a conclusion about the truth of conclusion.


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' 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 'David prepared slides for his class talk' is true, then 'Zach cheered at the football match' is true.

Now we know that:
- 'Alice presented at the science symposium' is false.
- ('Alice presented at the science symposium' is false) or ('Zach cheered at the football match' is true).

Can we draw a conclusion about the truth of 'Brian went to the professor’s office hours' is false.?

Answer: no


We know the following rules:
- If 'Zach cheered at the football match' is true, then 'Alice presented at the science symposium' is true.
- If 'Xander had lunch at the cafeteria' is true, then 'Yara stayed awake through the night revising' is true.
- If 'Brian went to the professor’s office hours' is true, then 'Alice presented at the science symposium' is true.
- If ('Brian went to the professor’s office hours' is true) and ('Clara celebrated a friend’s birthday in the dorm' is true), then 'David prepared slides for his class talk' is true.

Now we know that:
- ('Alice presented at the science symposium' is false) or ('Xander had lunch at the cafeteria' is true).
- ('Zach cheered at the football match' is true) or ('Brian went to the professor’s office hours' is true).

Can we draw a conclusion about the truth of ('Yara stayed awake through the night revising' is true) or ('Alice presented at the science symposium' is true).?

Answer: yes

We know that If (if ('Brian went to the professor’s office hours' is true), then ('Alice presented at the science symposium' is true)) and ((if ('David prepared slides for his class talk' is true), then ('Clara celebrated a friend’s birthday in the dorm' is true)) and (('Brian went to the professor’s office hours' is true) or ('David prepared slides for his class talk' is true))), then ('Alice presented at the science symposium' is true) or ('Clara celebrated a friend’s birthday in the dorm' is true).