
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 $f(x+2) + f(x) = 0$ on $\mathbb{R}$, and $y = f(x-1)$ is an odd function. Consider the following statements: ① The smallest positive period of the function $y = f(x)$ is 2; ② The graph of the function $y = f(x)$ is symmetric about the point $(-1, 0)$; ③ The graph of the function $y = f(x)$ is symmetric about the y-axis. Among these statements, the true ones are (fill in the number of the statement).

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