
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 a nonzero function \( f(x) \) that satisfies the following conditions:
1. For any real numbers \( a \) and \( b \), \( f(a-b)=\frac{f(a)}{f(b)} \).
2. When \( x<0 \), \( f(x)>1 \).
3. \( f(4)=\frac{1}{16} \).

Solve the inequality: \( f(x-3) \cdot f\left(5-x^{2}\right) \leqslant \frac{1}{4} \).

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