
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
Determine the incorrect proposition among the following options.
\[①\] The converse of a true proposition is also true;
\[②\] The negation of the proposition "For all real numbers $x$, $x^2 - x \leqslant 0$" is "There exists a real number $x$ such that $x^2 - x \geqslant 0$";
\[③\] The converse of the proposition "A rectangle has equal diagonals" is true;
\[④\] "$x \neq 3$" is a sufficient condition for "$\vert x \vert \neq 3$".

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