
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, find the equivalent ones:
1) Any $A$ is $B$.
2) Only $B$ can be $A$.
3) No $A$ is non-$B$.
4) Only non-$A$ can be non-$B$.
5) Any non-$B$ is non-$A$.

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