
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 a differentiable function $f(x)$ defined on $\mathbb{R}$ with its derivative ${f'}(x)$ satisfying ${f'}(x) < f(x)$ and $f(x+2)$ being an even function. If $f(0) = e^{4}$, determine the solution set of the inequality $f(x) < e^{x}$.

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