
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
$f(x)$ is an even function defined on $\mathbb{R}$, and for any $a$, $b \in (-\infty, 0]$, when $a \neq b$, it always holds that $\dfrac{f(a)-f(b)}{a-b} > 0$. If $f(m+1) < f(2m-1)$, then the range of the real number $m$ is \_\_\_\_\_\_.

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