
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
On the edge of a unit regular tetrahedron, a point is taken, which divides this edge in the ratio of \(1:2\). Through this point, two planes parallel to two faces of the tetrahedron are drawn. These planes cut off two triangular pyramids from the tetrahedron. Find the volume of the remaining part of the tetrahedron.

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