
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 conditions: $a$, $b$, $c$ satisfy $c < b < a$, and $a + b + c = 0$, which of the following inferences is correct? (Fill in the number) ① $ac(a-c) > 0$, ② $c(b-a) < 0$, ③ $cb^2 \leq ab^2$, ④ $ab > ac$.

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