
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 $f(x)=(x+1)^{2}-a\ln x$, find the range of values for $a$ such that the inequality $\dfrac {f(x_{1}+1)-f(x_{2}+1)}{x_{1}-x_{2}} > 1$ always holds, where $x_{1}$ and $x_{2}$ are two distinct real numbers in the interval $(0,+\infty)$.

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