
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 the proposition p: $x_1, x_2$ are the two real roots of the equation $x^2 - mx - 1 = 0$, and the inequality $a^2 + 4a - 3 \leq |x_1 - x_2|$ holds true for any $m \in \mathbb{R}$; the proposition q: the inequality $x^2 + 2x + a < 0$ has a solution. If the proposition $p \lor q$ is true, and $p \land q$ is false, find the range of values for a.

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