
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
Write the negation ("$¬p$") of the following propositions:
  1. The four sides of a square are equal
  2. Two real numbers with a sum of squares equal to $0$ are both $0$
  3. If $△ABC$ is an acute triangle, then any internal angle of $△ABC$ is acute
  4. If $abc = 0$, then at least one of $a$, $b$, $c$ is $0$

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