
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 $r(x)$: $\sin x + \cos x > m$, and $s(x)$: $x^2 + mx + 1 > 0$, if for all $x \in \mathbb{R}$, $r(x)$ is a false statement and $s(x)$ is a true statement, then the range of values for the real number $m$ is $\_\_\_\_\_\_$.

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