
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
Among the following four statements:
1. The negation of the proposition "There exists an x in R such that $x^2 + 1 > 3x$" is "For all x in R, it holds that $x^2 + 1 \leq 3x$".
2. Let p and q be simple propositions. If "p or q" is a false proposition, then "not p and not q" is a true proposition.
3. If p is a sufficient but not necessary condition for q, then not p is a necessary but not sufficient condition for not q.
4. The graph of the function $y = \sin(-2x)$ $(x \in R)$ can be obtained by shifting all points of the graph to the right by $\frac{\pi}{8}$ units to get the function $y = \sin(-2x + \frac{\pi}{4})$ $(x \in R)$.
The sequence numbers of all the correct statements are _______.

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