
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 the universal set $U=\mathbb{R}$, and the sets $A=\{x|-1<x<4\}$, $B=\{y|y=x+1, x\in A\}$. Find the intersection of the complements of $A$ and $B$ in $U$, denoted as $(\complement_U A) \cap (\complement_U B)$.

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