
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
Define a function $y=f(x)$ on $\mathbb{R}$ that is a decreasing function, and the graph of the function $y=f(x-1)$ is centrally symmetric about the point $(1,0)$. If the real number $s$ satisfies the inequality $f(s^2-2s)+f(2-s)\leq0$, then the range of $s$ is.

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