
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
If the function $f(x)=1+ \frac{a-1}{2^{x}+1}$ is an odd function, and $g(x)= \begin{cases} a\ln x,x > 0 \\ e^{ax},x\leqslant 0\\ \end{cases}$, then the solution set of the inequality $g(x) > 1$ is \_\_\_\_\_\_.

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