
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
Proposition $p$: The solution set of the inequality $x^{2}-(a+1)x+1 > 0$ is $\mathbb{R}$. Proposition $q$: The function $f(x)=(a+1)^{x}$ is increasing in its domain. If proposition $p \land q$ is false and proposition $p \lor q$ is true, determine the range of values for $a$.

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