
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
Define the difference between two sets \( A \) and \( B \) as \( A - B = \{ x \mid x \in A, \text{ but } x \notin B \} \), and the symmetric difference as \( A \nabla B = (A - B) \cup (B - A) \). If \( A = \{(x, y) \mid y = x + 1\} \) and \( B = \left\{(x, y) \left\lvert\, \frac{x-5}{x-4}=1 \right.\right\} \), then \( A \nabla B \) equals ________.

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