
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given these six statements:
\[\text{(1) All students love mathematics}\]
\[\text{(2) Some students love mathematics}\]
\[\text{(3) No teachers dislike mathematics}\]
\[\text{(4) All teachers enjoy mathematics}\]
\[\text{(5) At least one teacher dislikes mathematics}\]
\[\text{(6) All teachers love mathematics}\]

Identify the statement that negates statement (6):
A) (1) 
B) (2) 
C) (3) 
D) (4) 
E) (5)

Present the answer in LaTex format: \boxed{Your answer}
user