
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 the set $A=\{a_{1},a_{2},a_{3},a_{4}\}$. If the set $B=\{-1,3,5,8\}$ is composed of the sums of the elements of all three-element subsets of $A$, then the set $A=$ __________.

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