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