
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 $f(x)$ is an odd function defined on $R$, for any positive numbers $x$ and $y$, it satisfies $f(xy)=f(x)+f(y)-\frac{1}{2}$, and $f(\frac{1}{2})=0$. When $x>\frac{1}{2}$, $f(x)>0$, solve for the solution set of the inequality $e^{f(x)-1} > 1$.

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