
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 function $g(x)$ be an even function on $\mathbb{R}$, and when $x < 0$, $g(x)=\ln (1-x)$. The function $f(x)= \begin{cases} x^{3}, & x\leqslant 0\\ g(x), & x > 0 \end{cases}$ satisfies $f(2-x^{2}) > f(x)$. Determine the range of the real number $x$.

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