
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 propositions $p$: If $x > y$, then $-x < -y$; and $q$: If $x > y$, then $x^2 > y^2$. Among the propositions (1) $p \land q$, (2) $p \lor q$, (3) $p \land \neg q$, and (4) $\neg p \lor q$, the true proposition(s) is/are \_\_\_\_\_\_\_.

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