Not all black and white?

Question

Just for fun, I've accepted a challenge to white in a form of a mathematical expression the expression "Not all is black and white". At first, I thought it will be easy, but now I am stuck. Here are some of the examples I tried:

¬∀xP(x)∈{#000000,#FFFFFF}

or ¬∀xP(x)=#000000∧¬∀xP(x)=#FFFFFF

or ¬∀x(P(x)=1∧P(x)=0)

or above combinations with addition of ∈ R so it would look like:

¬∀x∈R P(x)∈{#000000,#FFFFFF}

Just to break a daily routine :D

Thanks!

Answer 1

Just adding a few more to the mix:

$E=\{\mathbb{\#} 000000,\mathbb{\#}FFFFFF\}, E^{C}\neq \emptyset$

or

$A=\{A,B,C,\dots,X,Y,Z\}, \sigma(A)=B, \sigma(B)=c,\dots,\sigma(Z)=A\Rightarrow \sigma^{-1}(\text{O})\sigma^{-1}(\text{p})\sigma^{-1}(\text{u})\dots\sigma^{-1}(\text{f})=\text{NotAllIsBlackAndWhite}$