1.$B"P(Bx(E(x)$B"J"L(BM(x))
Ex(A(x) ^ notM(x))
or there exist something that is not meaningless
I wish to Double negate this so i can use use universal instantiation.

not not (Ex(A(x) ^ notM(x)) becomes:
Vx not(A(x) ^M(x))?