
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
If the function $f(x)$ satisfies $\forall x\in R$, $f(x+1)=f(1-x)$, and $\forall x_{1}$, $x_{2}\in [1,+\infty)$, $\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}>0$ ($x_{1}\neq x_{2}$), if $f(m) > f(-1)$, then the range of values for $m$ is ______.

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