
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
Consider three planes that are parallel to each face of a tetrahedron with a unit volume and halve the volume of the tetrahedron. What is the volume of the smaller tetrahedron that is bounded by these three planes and the fourth face of the original tetrahedron?

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