
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
Find the distance between the line passing through the points \( A(-3, 0, 1) \) and \( B(2, 1, -1) \), and the line passing through the points \( C(-2, 2, 0) \) and \( D(1, 3, 2) \).

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