
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 the function $g(x)$ is an even function on $\mathbb{R}$, and when $x < 0$, $g(x) = \ln(1-x)$, and the function $f(x)$ is defined as $\begin{cases} x^{3}, & x\leq 0 \\ g(x), & x>0\end{cases}$, determine the range of the real number $x$ such that $f(2-x^2) > f(x)$.

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