
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
There are $n$ points $(n \geqslant 6)$ on a circle. Each pair of points is connected by a line segment. Assuming that any three line segments do not intersect at a single point inside the circle, three mutually intersecting line segments form a triangle. How many such triangles are there?

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