
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 that the proposition "Every element of the non-empty set $M$ is an element of set $P$" is false, then which of the following propositions are true?

1. No element of $M$ is an element of $P$.
2. Not every element of $M$ is an element of $P$.
3. There is an element of $P$ in $M$.
4. There exists an element $x \in M$ such that $x \notin P$.

List the numbers of the true propositions.

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