
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 four statements:
(1) If proposition p is "If $a > b$, then $a^2 > b^2$", then $\neg p$ is "If $a > b$, then $a^2 \leq b^2$";
(2) If $p \lor q$ is a false proposition, then both $p$ and $q$ are false propositions;
(3) A sufficient but not necessary condition for $x > 1$ is $x > 2$;
(4) The negation of the proposition "Triangles that are congruent have equal areas" is a true proposition.
Among these, the correct statement numbers are.

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