
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 function $f(x)$ is a differentiable function defined on $(-\infty, +\infty)$ and $f(x) < f''(x)$ holds for all $x \in \mathbb{R}$, with $e$ being the base of the natural logarithm, compare $f(1)$ and $e \cdot f(0)$, and $f(2019)$ and $e^{2019}f(0)$.

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