
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 $f(x)=(m-1)\ln x+mx^{2}+1$, where $m\in\mathbb{R}$,

(1) Discuss the monotonicity of $f(x)$;

(2) If for any $x\_1 > x\_2 > 0$, the equality $f(x\_1)-f(x\_2) > 2(x\_1-x\_2)$ always holds, find the range of values for the real number $m$.

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