
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 set $A=\{x|5^{x} > 1\}$, and the set $B=\{x|\log_{\frac{1}{3}}(x+1) > -1\}$.
- (I) Find $(\complement_{\mathbb{R}}A) \cap B$;
- (II) If the set $C=\{x|x < a\}$ satisfies $B \cup C = C$, find the range of the real number $a$.

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