
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
If the domain of the function $f(x)$ is $\mathbb{R}$, and for $m, n \in \mathbb{R}$, it always holds that $f(m+n) = f(m) + f(n) - 6$, and $f(-1)$ is a positive integer not greater than 5, and when $x > -1$, $f(x) > 0$. Then, the function $f(x) = \quad$ (Note: Fill in what you think is the correct function.)

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