
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
Let \( S = \{1, 2, \cdots, 10\} \). If a subset \( T \) of \( S \) has at least 2 elements and the absolute difference between any two elements in \( T \) is greater than 1, then \( T \) is said to have property \( P \). Find the number of different subsets of \( S \) that have property \( P \).

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