
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 judgments:  
(1) The proposition "If q then p" and "If not p then not q" are contrapositives of each other;  
(2) "am<sup>2</sup> < bm<sup>2</sup>" is a necessary and sufficient condition for "a < b";  
(3) The negation of the proposition "The diagonals of a rectangle are equal" is a false proposition;  
(4) The proposition "∅⊆{1,2}" is true, the correct sequence numbers are.

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