
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
Among the following statements:  
(1) A solid with trapezoidal lateral faces is called a frustum;  
(2) Four non-coplanar points can determine four planes;  
(3) A line and a point can determine a plane;  
(4) If two distinct planes have a common point, then these two planes must have infinitely many common points;  
(5) Two lines perpendicular to the same line are parallel to each other;  
(6) Given a line $a$ parallel to one of two parallel planes, then line $a$ is also parallel to the other plane.  
The correct statement numbers are.

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