
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 the propositions $p: \forall x \in \mathbb{R}, 2^{x} < 3^{x}$; and $q: \exists x \in \mathbb{R}, x^{3}=-1-x^{2}$, then among the following propositions, the true proposition is __________ (Fill in the serial number).

    $(1) p \land q; (2) \neg p \land q; (3) p \land \neg q; (4) \neg p \land \neg q.$

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