
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
When proving the proposition "At least one of the angles in a triangle is not greater than 60°" using the method of contradiction, the correct statement for "assume the conclusion of the proposition does not hold" is \_\_\_\_\_\_ (fill in the number)  
(1) Assume all three angles are not greater than 60°  
(2) Assume at most two angles are greater than 60°  
(3) Assume at most one angle is greater than 60°  
(4) Assume all three angles are greater than 60°.

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