
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 the function $f(x)=2\sin (ωx+φ)-1(ω > 0,|φ| < π)$, one of its zero points is $x= \frac {π}{3}$, and $x=- \frac {1}{6}$ is a symmetric axis of the graph of $y=f(x)$. When $ω$ takes the minimum value, determine the monotonically increasing interval of $f(x)$.

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