
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 that the function $f(x)$ is defined on $\mathbb{R}$, if the function $f(x+2016)$ is an even function, and for any $x_{1}, x_{2} \in [2016,+\infty) (x_{1} \neq x_{2})$, it holds that $\dfrac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} < 0$, determine the order of the values $f(2019)$, $f(2014)$, and $f(2017)$.

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