
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
Determine whether the following statements are universal statements or existential statements.

(1) The points on the perpendicular bisector of a line segment are equidistant from the two endpoints of the segment;

(2) The square of a negative number is positive;

(3) Some triangles are not isosceles triangles;

(4) Some rhombuses are squares.

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