
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:
1. The converse of the proposition "If $xy=1$, then $x$ and $y$ are mutual reciprocals."
2. The negation of the proposition "All vectors with equal modulus are equal."
3. The contrapositive of the proposition "If $m \leqslant 1$, then the equation $x^2 - 2x + m = 0$ has real roots."
4. The contrapositive of the proposition "If $A \cap B = A$, then $A \supseteq B$."
Among them, the propositions that form true statements are __________ (fill in the correct proposition numbers).

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