
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 propositions:

1. On a cube, any 4 non-coplanar vertices can possibly be the 4 vertices of a regular tetrahedron.

2. A pyramid with an equilateral triangle as its base and isosceles triangles as its lateral faces is a regular tetrahedron.

3. If two lateral faces are perpendicular to the base, then the prism is a right prism.

Among these, the correct proposition numbers are.

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