
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
Two skew edges of a tetrahedron are perpendicular to each other, with lengths 12 and 13, and the distance between their lines is 14 units. Determine the volume of the tetrahedron.

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