
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
For a function $f(x)$ defined on $\mathbb{R}$ with its derivative being $f'(x)$, given that $f(0)=0$ and for any $x \in \mathbb{R}$, $f(x) > f'(x) + 1$, determine the range of $x$ for which $f(x) + e^x < 1$.

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