
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 propositions:

① If vectors $a$ and $b$ are collinear, then the lines containing vectors $a$ and $b$ are parallel;

② If the lines containing vectors $a$ and $b$ are skew lines, then vectors $a$ and $b$ are definitely not coplanar;

③ If three vectors $a$, $b$, and $c$ are pairwise coplanar, then vectors $a$, $b$, and $c$ are coplanar;

④ Three vectors are coplanar if they are parallel to the same plane;

⑤ Given three non-collinear vectors $a$, $b$, and $c$ in space, for any vector $p$ in space, there exist real numbers $x$, $y$, and $z$ such that $p = xa + yb + zc$. Among these, the correct proposition(s) is/are.

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