
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
Among the following four conclusions:

1. If $x > 0$, then $x > \sin x$ always holds;
2. The contrapositive of the proposition "If $x-\sin x=0$, then $x=0$" is "If $x \neq 0$, then $x-\sin x \neq 0$";
3. "The proposition $p \land q$ is true" is a sufficient but not necessary condition for "The proposition $p \lor q$ is true";
4. The negation of the proposition "For all $x \in \mathbb{R}$, $x-\ln x > 0$" is "There exists an $x_0 \in \mathbb{R}$, such that $x_0-\ln x_0 < 0$".

The number of correct conclusions is $\boxed{\text{C: 3}}$.

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