
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
Let $l$, $m$, $n$ be distinct lines, and $\alpha$, $\beta$ be distinct planes,
1. If $l \parallel m$ and $m \subset \alpha$, then $l \parallel \alpha$
2. If $l \perp m$, $l \perp n$, $m \subset \alpha$, $n \subset \alpha$, then $l \perp \alpha$
3. If $\alpha \parallel \beta$ and $l \subset \alpha$, then $l \parallel \beta$
4. If $l \subset \alpha$ and $\alpha \perp \beta$, then $l \perp \beta$

Among these statements, the correct ones are numbered as follows.

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