
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
The following statements are given:
1. If a line in one plane is parallel to a line in another plane, then the two planes are parallel.
2. If two lines in one plane are each parallel to another plane, then the two planes are parallel.
3. Two different planes that are parallel to the same plane are parallel to each other.
4. Two different planes that are perpendicular to the same line are parallel to each other.
List the true propositions by filling in the blanks with their statement numbers.

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