
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
In the rectangular prism \(ABCD-A_1B_1C_1D_1\), \(AB=2\), \(AA_1=AD=1\). Points \(E\), \(F\), and \(G\) are the midpoints of edges \(AA_1\), \(C_1D_1\), and \(BC\) respectively. What is the volume of the tetrahedron \(B_1-EFG\)?

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