
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 the domain of the function $f(x)$ is $\mathbb{R}$, and for any $x \in \mathbb{Z}$, it holds that $f(x) = f(x-1) + f(x+1)$. If $f(-1) = 6$ and $f(1) = 7$, then $f(2012) + f(-2012) = \boxed{?}$.

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