
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 a plane, five points are given such that no three points are collinear. The points are pairwise connected by lines. What is the number of intersection points of these lines (excluding the original five points), assuming that none of the drawn lines are parallel to each other?

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