
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:  
(1) Two lines parallel to the same plane are parallel to each other.  
(2) Two lines perpendicular to the same line are parallel to each other.  
(3) Through a point outside a known plane, there exists exactly one plane parallel to the given plane.  
(4) Through a line outside a known plane, a plane can always be constructed parallel to the given plane.  
The sequence numbers of the true propositions are ____. (List all the numbers of the true propositions.)

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