
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
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 "$\angle A, \angle B, \angle C$ form an arithmetic sequence";
3. $$\begin{cases} \overset{x>1}{y>2}\end{cases}$$ is the necessary and sufficient condition for $$\begin{cases} \overset{x+y>3}{xy>2}\end{cases}$$;
4. "$am^2 < bm^2$" is the necessary and sufficient condition for "$a < b$".
Among the above statements, the incorrect ones are \_\_\_\_\_\_.

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