
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
Which of the following statements is correct?  
\\({①}\\) For two non-coincident lines, "the slopes of two lines being equal" is a necessary but not sufficient condition for "the two lines being parallel";  
\\({②}\\) The negation of the proposition "\\({∀}x{∈}R{,}\\sin x{\\leqslant }1\\)" is "\\({∃}x_{0}{∈}R{,}\\sin x_{0} > 1\\)";  
\\({③}\\) "Both \\(p\\) and \\(q\\) are true" is a sufficient but not necessary condition for "Either \\(p\\) or \\(q\\) is true";  
\\({④}\\) Given lines \\(a{,}b\\) and plane \\(\\alpha\\), if \\(a{⊥}\\alpha{,}b{/\\!/}\\alpha\\), then \\(a{⊥}b\\).

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