
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: There exists $x \in \mathbb{R}$, such that $\tan(x) = 1$, and proposition q: The solution set of $x^2 - 3x + 2 < 0$ is $\{x | 1 < x < 2\}$. Consider the following conclusions:  
① The proposition “p ∧ q” is true.  
② The proposition “p ∧ ¬q” is false.  
③ The proposition “¬p ∨ q” is true.  
④ The proposition “¬p ∨ ¬q” is false.  
Among these, the correct ones are.

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