
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
In $\triangle ABC$, let the lengths of the sides opposite to angles $A$, $B$, and $C$ be denoted as $a$, $b$, and $c$ respectively. If $\overrightarrow{AB} \cdot \overrightarrow{AC} < 0$, then among the following statements:  
${①\triangle ABC}$ is an obtuse triangle;             ${②}a^{2} > b^{2} + c^{2}$;  
${③}\cos B\cos C > \sin B\sin C$;           ${④}\sin B > \cos C$;  
the incorrect statement(s) is/are \_\_\_\_\_\_.

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