
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 domain of the function $f(x)$ is $\mathbb{R}$, and $f(0)=2$, if for any $\left\{x\in \mathbb{R},f(x)+{{f}^{{{'}}}}(x) < 1\right\}$, then the solution set of the inequality $${{e}^{x}}f(x) < {{e}^{x}}+1$$ is.

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