
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
"If all the products displayed in this store are for sale," if this statement is false, then which of the following statements must be correct?  
① All the products displayed in this store are not for sale.  
② Some of the products displayed in this store are not for sale.  
③ There is not a single product displayed in this store that is for sale.  
④ Not all the products displayed in this store are for sale.

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