
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 $p_1$: The function $y=2^x-2^{-x}$ is increasing on $\mathbb{R}$, and $p_2$: The function $y=2^x+2^{-x}$ is decreasing on $\mathbb{R}$. Determine the number of propositions among $\{q_1: p_1 \lor p_2, q_2: p_1 \land p_2; q_3: (\lnot p_1) \lor p_2; q_4: p_1 \lor (\lnot p_2)\}$ that are true.

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