
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 two planes $\alpha$ and $\beta$, each passing through two skew lines $l$ and $m$ that are perpendicular to each other, which of the following statements could be true?
1. $\alpha \parallel \beta$
2. $\alpha \perpendicular \beta$
3. $l \parallel \beta$
4. $m \perpendicular \alpha$

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