
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
Given 9 points in space, where no 4 points lie on the same plane. Connect some of these points with line segments while ensuring that no tetrahedron is formed. How many triangles can the graph contain at most?

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