
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
(5 points) There is a syllogistic argument that goes as follows: "For a differentiable function $f(x)$, if $f'(x_0) = 0$, then $x = x_0$ is an extremum point of the function $f(x)$. Since the derivative of the function $f(x) = x^3$ at $x = 0$ is $f'(0) = 0$, it follows that $x = 0$ is an extremum point of the function $f(x) = x^3$." Among the reasoning above,
(1) The major premise is wrong.
(2) The minor premise is wrong.
(3) The form of reasoning is correct.
(4) The conclusion is correct.
Which numbers do you think are correct? __________.

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