
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, no four of which are coplanar, and connecting several line segments among these points such that no tetrahedron is formed. What is the maximum number of triangles in the graph?

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