
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 the following propositions:  
\\(①\\) "If \\(x > 1\\)," then it is a sufficient but not necessary condition for "\\(x > 2\\)";  
\\(②\\) "If \\(\sin \alpha \neq \frac{1}{2}\\), then \\(\alpha \neq \frac{\pi}{6}\\)";  
\\(③\\) The contrapositive of the proposition "If \\(xy=0\\), then \\(x=0\\) and \\(y=0\\)";  
\\(④\\) The negation of the proposition "There exists \\(x_0 \in \mathbb{R}\\) such that \\(x_0^2 - x_0 + 1 \leqslant 0\\)".  
Among these, the true propositions are numbered \_\_\_\_\_\_.

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