
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
If the function $y=f(x)$ has a domain of $\mathbb{R}$, and for $\forall x \in \mathbb{R}$, $f'(x) < f(x)$, and $f(x+1)$ is an even function, $f(2)=1$, the solution set of the inequality $f(x) < e^{x}$ is ______.

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