
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 that function $g(x)$ is an even function on $\mathbb{R}$, and when $x < 0$, $g(x)=\ln(1-x)$, where $g(x)$ is also equal to $\ln(1-x)$ for $x > 0$ due to its even property, and the piecewise-defined function $f(x)= \begin{cases} x^{3},x\leqslant 0 \\ \ln(1-x),x > 0\\ \end{cases}$, determine the range of the real number $x$ for which $f(2-x^{2}) > f(x)$.

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