True$/$ False with explexplanation

$(1)$ By converting a formula that is in disjunctive normal form into a formula in conjunctive normal form, the formula can become exponentially larger.

$(2)$ The Herbrand universe $D(F)$ of a formula $F$ always contains an infinite number of elements.

$(3)$ A predicate$-$logical formula $F$ is valid if and only if $F$ is not valid.

$(4)$ A formula in disjunctive normal form is satisfiable if and only if in every conjunction $($L$1{?}^{{?}^{?}}dot{s}^{{?}^{?}}$ Ln$)$ there is a literal that occurs both positively and negatively.

$(5)$ The propositional$-$logical resolution always only requires a polynomial number of steps depending on the size of the formula.

$(6)$ A predicate$-$logical formula $F$ is unsatisfiable if and only if $F$ is satisfiable.

$(7)$ There are a set of literals for which more than one most general unifier exists.

$(8)$ For a formula consisting of $n$ atomic formulas, there are $n2$ different assignments.

$(9)$ Every predicate$-$logical formula $F$ can be converted into an equivalent formula $F\text{'}$ that does not contain any universal quantifiers.

$(10)$ A propositional$-$logical formula in KNF is insqatisfigble if and only if the empty clause can be derived through the propositional$-$logical resolution.

$(11)$ Every propositional logic formula is either valid or unsatisfiable.

$(12)$ Let $F$ be a propositional logic formula. The following is known: if $F$ is valid, then $F$ is unsatisfiable. But if $F$ is satisfiable, then notF is also satisfiable.

$(13)$ There is a propositional logic formula that is in both dnf and knf$.$

$(14)$ The Herbrand universe of a formula in Sskolem form always contains infinitely many Elements.

$(15)$ Let $F$ and $G$ be propositional logic formulas. If $A$ is a model for $F$ but not a model for If $FG,$ then $A$ is not a model for $G.$

$(16)$ From EExP$(x)$ and EExQ$(x)$ it follows EExP$(x)Q(x).$

UA has exactly one element, then $A||=F.$

$(17)$ Clause $\{A\}$ is a resolver of clauses $\{A,B,C\}$ and $\{A,$notB,notC$\}.$

$(18)$ Let $F=$EExP$(x)$AAxP$(x).$ If $A$ is a structure matching $F,$ its universe

$(19)$ A formula $G$ can be deduced from a formula $F$ if and only in characters $F$ I$=$ G if $not{F}^{{?}^{?}}$notG is unsatisfiable.

$(20)$ A set $M$ of operators is complete if and only if all operators of

Set $\{not,vv,{?}^{{?}^{?}}\}$ can be represented using the operators from $M.$

$(21)$ In the propositional logical resolution of any two clauses there is always exactly a resolver.

$(22)$ There is a predicate logic formula with an uncountable Herbrand universe, that is$,$ the associated Herrand universe contains an uncountable number of elements.

$(23)$ Every predicate$-$logical formula $F$ can be converted into an equivalent formula $F\text{'}$ that does not contain any existence quantifiers.

$(24)$ With the help of propositional logic resolution, any formula in clause form can be checked to see whether it can be fulfilled.