
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
For an odd function $f(x)$ defined on $R$, if $\frac{f(x_2)-f(x_1)}{x_2-x_1}＜1$ for any $0 \lt x_{1} \lt x_{2}$, and $f(1)=1$, determine the solution set of the inequality $f(x)-x \gt 0$.

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