
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 $p$: The function $f(x)=x^{2}+mx+1$ has two zeros, $q$: $\forall x\in \mathbb{R}, 4x^{2}+4(m-2)x+1 > 0$, if $p\wedge \neg q$ is true, find the range of the real number $m$.

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