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