
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 \\(l_{1}\\): \\(y=k_{1}x+b_{1}\\) and \\(l_{2}\\): \\(y=k_{2}x+b_{2}\\), the proposition \\(p\\): ("If \\(l_{1} \perp l_{2}\\), then \\(k_{1}k_{2}=-1"\\)'s contrapositive is \_\_\_\_\_\_, and the original proposition \\(p\\) is a \_\_\_\_\_\_ proposition (fill in "true" or "false").

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