
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 that $a$ and $b$ are rational numbers, the following conclusions are given: ① $|a| \gt a$; ② the squares of two numbers that are opposite to each other are equal; ③ if $a^{2}=b^{2}$, then $a^{3}-b^{3}=0$; ④ if $ab \lt 0$, then $|a+b|=||a|-|b||$; ⑤ if $a$ is greater than $b$, then the reciprocal of $a$ is less than the reciprocal of $b$. The correct conclusions are ______. (Fill in the numbers)

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