
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
A regular tetrahedron has vertices which are joined to form four smaller internal tetrahedra by connecting the midpoints of its edges. Calculate the ratio of the total volume of the four smaller tetrahedra to the volume of the original tetrahedron.

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