
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 two lines in space, \\(l_{1}\\) and \\(l_{2}\\), if \\(p:l_{1}\\) and \\(l_{2}\\) are skew lines; \\(q:l_{1}\\) and \\(l_{2}\\) do not intersect, the correct proposition is ____(fill in the serial number).

\\(① p\\) is a sufficient condition for \\(q\\) but not a necessary condition.

\\(② p\\) is a necessary condition for \\(q\\) but not a sufficient condition.

\\(③ p\\) is a necessary and sufficient condition for \\(q\\).

\\(④ p\\) is neither a sufficient condition nor a necessary condition for \\(q\\).

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