
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
On Uncle Fyodor's birthday, Postman Pechkin wants to find out how old Fyodor is. Sharik says that Uncle Fyodor is older than 11 years, and Cat Matroskin claims that he is older than 10 years. How old is Uncle Fyodor, given that exactly one of them is wrong? Justify your answer.

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