
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 compound statement "p or q" is true and "p and q" is false, among the following three conclusions:  
(1) Both p and q are false statements;  
(2) q has the same truth value as the negation of p;  
(3) p has the same truth value as the negation of q;  
The correct conclusion(s) are represented by the serial number(s) __ .

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