
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 function $y=f(x)$ ($x \in \mathbb{R}$) whose graph passes through the point $(1, 0)$, and $f''(x)$ is the derivative of the function $f(x)$, with $e$ being the base of the natural logarithm. If for $x > 0$, the inequality $xf''(x) > 1$ always holds, determine the solution set of the inequality $f(x) \leqslant \ln x$.

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