
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 following four propositions about distinct lines $m$, $l$ and planes $\alpha$, $\beta$:

1. If $m \subset \alpha$, $l \cap \alpha = \{A\}$, and $A \notin m$, then $l$ and $m$ are skew lines.
2. If $m \subset \alpha$, $l \subset \beta$, and $m \parallel l$, then $\alpha \parallel \beta$.
3. If $m \subset \alpha$, $l \subset \alpha$, $m \parallel \beta$, $l \parallel \beta$, and $l \cap m = \{A\}$, then $\alpha \parallel \beta$.
4. If $\alpha \cap \beta = m$, $l \parallel m$ and $l \nsubseteq \alpha$, $l \nsubseteq \beta$, then $l \parallel \alpha$ and $l \parallel \beta$.

Which of the above propositions is/are correct? Fill in the blank with the numbers: __________.

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