
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 that $U = \mathbb{R}$, the solution set to the inequality $ax^2 + 2x + b > 0 (a \neq 0)$ is $\{x | x \neq -\frac{1}{a}, x \in \mathbb{R}\}$, and $a > b$, find the set of all possible values of $t = \frac{a^2 + b^2}{a-b}$. Let set $B = \{m | |x+1| - |x-3| \leq m^2 - 3m, x \in \mathbb{R}\}$ always holds true. Determine $A \cap (\complement_U B)$.

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