
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 following four propositions:  
(1) The contrapositive of "If $xy=0$, then $x=0$ and $y=0$";  
(2) The negation of "A square is a rhombus";  
(3) The converse of "If $ac^2 > bc^2$, then $a > b$";  
(4) "If $m > 2$, then the solution set of the inequality $x^2 - 2x + m > 0$ is $\mathbb{R}$",  
among these, the true proposition is.

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