
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 statements:

1. Among four non-coplanar points, any three points are not collinear.
2. Two planes that have three distinct common points coincide.
3. Two lines without common points are skew lines.
4. Two lines that intersect with two skew lines are skew.
5. A line that intersects with two skew lines can determine two planes.

The correct conclusions are numbered \_\_\_\_\_\_\_\_.

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