
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 statements, the incorrect ones are __________

\\(①\\) If the inverse of a proposition is true, then its negation must also be true;

\\(②\\) In \\(\triangle ABC\\), " \\(\angle B=60^\circ\\) " is the necessary and sufficient condition for "the three angles \\(\angle A, \angle B, \angle C\\) form an arithmetic sequence";

\\(③\\) \\(\begin{cases} & x > 1 \\\\ & y > 2 \end{cases}\\) is the necessary and sufficient condition for \\(\begin{cases} & x+y > 3 \\\\ & xy > 2 \end{cases}\\);

\\(④\\) " \\(am^{2} < bm^{2}\\) " is the necessary and sufficient condition for " \\(a < b\\) ".

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