
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 two non-empty sets A and B that satisfy the following four conditions:
1. $A \cup B = \{1, 2, 3, 4, 5, 6, 7\}$;
2. $A \cap B = \emptyset$;
3. The number of elements in set A is not an element of A;
4. The number of elements in set B is not an element of B.
If set A contains two elements, there are ______ various sets A that meet these criteria.

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