Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ ~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q))) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.idempand(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ ~~~~(~(~q /\ ~p) /\ ~q)) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.notnot(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ ~~(~(~q /\ ~p) /\ ~q)) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.notnot(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ ~(~q /\ ~p) /\ ~q) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.demorganand(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ (~~q || ~~p) /\ ~q) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.notnot(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ (q || ~~p) /\ ~q) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.absorpand(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ q /\ ~q) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)
⇒ logic.propositional.compland(~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ F) || (~(~~~(~(~q /\ ~p) /\ ~q) /\ ~~~(~(~q /\ ~p) /\ ~q)) /\ ~r)