
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 the real numbers $a$, $b$, and $c$ satisfy $a^2 + a + bi < 2 + ci$ (where $i^2 = -1$), and the sets $A = \{x | x = a\}$, $B = \{x | x = b + c\}$, find the elements of $A \cap \complement_{\mathbb{R}}B$.

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