
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 the following propositions:
1. If $p$ and $q$ are two propositions, and "p OR q" is false, then "NOT p AND NOT q" is true.
2. If the function $y = f(x + 1)$ is an even function, then the graph of $y = f(x)$ is symmetric about the line $x = 1$.
3. The graph of the function $y = f(x)$ has at most one intersection with the line $x = a$.
4. The contrapositive statement of "If $x \neq y$, then $\sin x \neq \sin y$" is true.

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