
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 function $f(x)=2x^{2}-2ax+b$, with $f(-1)=-8$. It is known that $f(x) \geqslant f(-1)$ holds true for all $x \in R$. Let set $A={x|f(x) > 0}$, and set $B={x||x-t|\leqslant 1}$.
(I) Find $(C_{R}A)∪B$ when $t=1$.
(II) Assuming proposition $P$: $A∩B \neq$ empty set, if $\neg P$ is true, find the range of values for the real number $t$.

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