
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
A tetrahedron \(ABCD\) with equal edges is placed with its face \(ABC\) on a plane. Point \(F\) is the midpoint of edge \(CD\), and point \(S\) lies on line \(AB\) such that \(S \neq A\) and \(AB = BS\). An ant is placed at point \(S\). How should the ant crawl to point \(F\) so that its path is minimized?

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