
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 $f(x)=2\sin (ωx+φ)+1(ω > 0,|φ|≤\dfrac{π}{2})$, the distance between two adjacent intersection points of its graph and the line $y=-1$ is $π$. If $f(x) > 1$ holds true for any $x∈(-\dfrac{π}{12}, \dfrac{π}{3})$, determine the range of values for $φ$.

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