
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 $f(x)=a\ln x-x^{2}+1$ $(a\ne 0)$.

(I) If $f(x)\leqslant 0$ holds for any $x > 0$, find the range of the real number $a$.

(II) If $a\leqslant -\frac{1}{8}$, for any $x_{1}, x_{2} \in (0,+\infty)$, it holds that $|f(x_{1})-f(x_{2})|\geqslant |x_{1}-x_{2}|$.

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