
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
Let the function $f(x)=4\ln x- \frac {1}{2}ax^{2}+(4-a)x$ where $a\in\mathbb{R}$.  
(I) Discuss the monotonicity of $f(x)$.  
(II) If the function $f(x)$ has an extreme value, for any $0 < x_{1} < x_{2}$, there exists a positive real number $x_{0}$, such that $f(x_{1})-f(x_{2})=f'(x_{0})\cdot(x_{1}-x_{2})$, determine the relationship between $x_{1}+x_{2}$ and $2x_{0}$ and provide a proof.

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