
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 $a > b$, then $\frac{1}{a} < \frac{1}{b}$; proposition q: $\frac{1}{ab} < 0 \Leftrightarrow ab < 0$. Here are four compound propositions: ①$p \lor q$; ②$p \land q$; ③$(\neg p) \land (\neg q)$; ④$(\neg p) \lor (\neg q)$. The number of true propositions among these is __________.

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