
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 $f(x)=x^{2}-ax+2\ln x$ (where $a$ is a constant), which has two extreme points $x_{1}$ and $x_{2}$ ($x_{1} \lt x_{2}$). If $f(x_{1}) \gt mx_{2}$ always holds, then the range of real number $m$ is ______.

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