
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
Suppose we have two propositions: $p$: $\emptyset = \{0\}$, and $q$: $7 \geq 3$. Among the following four compound propositions: (1) $p$ or $q$; (2) $p$ and $q$; (3) not $p$; (4) not $q$; identify the true propositions.

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