
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 the proposition $p: \forall x > 0, (x+1)e^{x} > 1$, determine the correct form of $\neg p$.

A) $\exists x_{0} \leqslant 0, (x+1)e^{x} \leqslant 1$
B) $\exists x_{0} > 0, (x+1)e^{x} \leqslant 1$
C) $\forall x > 0, (x+1)e^{x} \leqslant 1$
D) $\forall x \leqslant 0, (x+1)e^{x} \leqslant 1$

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