
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
Let $A$ be a set of three distinct real numbers. The set $B=\{x+y \mid x, y \in A, x \neq y\}$. If $B=\left\{\log _{2} 6, \log _{2} 10, \log _{2} 15\right\}$, then the set $A$ equals $\quad$.

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