
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
Provide the following propositions:
1. The asymptotic lines of the hyperbola $\frac{y^2}{2} - x^2 = 1$ are $y= \pm \sqrt{2}x$;
2. The zero point of the function $f(x) = \log x - \frac{1}{x}$ lies in the interval $(1, 10)$;
3. Given the linear regression equation as $\hat{y} = 3 + 2x$, when the variable $x$ increases by 2 units, the predicted value increases by an average of 4 units;
4. Given a random variable $X$ follows the normal distribution $N(0,1)$, and $P(-1\leq X\leq1) = m$, then $P(X < -1) = 1 - m$.
Write down all the correct proposition numbers.

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