
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
There are the following statements about propositions:
1. A declarative sentence is a proposition;
2. "There exists at least one real number x such that $x^3+1 \leq 0$" is a true proposition;
3. The negation of the proposition "x, y, z cannot all be greater than 0" is "x, y, z are all greater than 0";
4. If p is a true proposition, and q is a false proposition, then $p \land q$ is a true proposition;
5. The necessary and sufficient condition for "$mx-2 > 0$" is "$x-2 > 0$", then $m=1$.
Among these, the correct statements are numbered .

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