
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
Given proposition p: "$\alpha = \beta$ is a necessary and sufficient condition for $\tan(\alpha) = \tan(\beta)$." Proposition q: "$\emptyset \subseteq A$." Among the following statements, the true ones are __________.
1. p or q  
2. p and q  
3. not p  
4. not q.

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