
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 $\mathbb{R}$, if there exists a constant $c > 0$ such that for all $x \in \mathbb{R}$, it holds that $f(x + c) > f(x - c)$, then we say that the function $f(x)$ has property P. Consider the following functions:
1. $f(x) = 3x - 1$
2. $f(x) = |x|$
3. $f(x) = \cos(x)$
4. $f(x) = x^3 - x$

Identify the sequence numbers of the functions that have property P.

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