
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 propositions p: If $x > y$, then $-x < -y$, and q: If $\frac{1}{x} > \frac{1}{y}$, then $x < y$, determine the true proposition(s) among the following: ①$p \land q$; ②$p \lor q$; ③$p \land (\lnot q)$; ④$(\lnot p) \lor q$.

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