
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
The following propositions are given:

$①$ If $| \overrightarrow{a}|=| \overrightarrow{b}|$, then $\overrightarrow{a}$ and $\overrightarrow{b}$ are collinear;

$②$ Two vectors with unequal lengths and opposite directions are definitely collinear vectors;

$③$ If $\overrightarrow{a}$ and $\overrightarrow{b}$ satisfy $| \overrightarrow{a}| > | \overrightarrow{b}|$ and are in the same direction, then $\overrightarrow{a} > \overrightarrow{b}$;

$④$ Since the direction of $\overrightarrow{0}$ is undefined, $\overrightarrow{0}$ cannot be parallel to any vector;

$⑤$ For any vectors $\overrightarrow{a}$ and $\overrightarrow{b}$, $| \overrightarrow{a}|-| \overrightarrow{b}|\leqslant | \overrightarrow{a}+ \overrightarrow{b}|\leqslant | \overrightarrow{a}|+| \overrightarrow{b}|$

Determine the sequence number(s) of the correct proposition(s).

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