Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
(F /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || ((q || ~~p) /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (F /\ r /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (~~p /\ (r || q || ~~p || (F /\ r) || q || ~~p))
⇒ logic.propositional.absorpand(F /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || q || ~~p || (F /\ r /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (~~p /\ (r || q || ~~p || (F /\ r) || q || ~~p))
⇒ logic.propositional.absorpand(F /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || q || ~~p || (F /\ r) || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || (~~p /\ (r || q || ~~p || (F /\ r) || q || ~~p))
⇒ logic.propositional.absorpand(F /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || q || ~~p || (F /\ r) || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroandF || q || ~~p || (F /\ r) || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroandF || q || ~~p || F || (q /\ (r || q || ~~p || (F /\ r) || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroandF || q || ~~p || F || (q /\ (r || q || ~~p || F || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || F || (q /\ (r || q || ~~p || F || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || (q /\ (r || q || ~~p || F || q || ~~p)) || ~~p
⇒ logic.propositional.falsezeroorq || ~~p || (q /\ (r || q || ~~p || q || ~~p)) || ~~p
⇒ logic.propositional.idemporq || ~~p || (q /\ (r || q || ~~p)) || ~~p
⇒ logic.propositional.notnotq || p || (q /\ (r || q || ~~p)) || ~~p
⇒ logic.propositional.notnotq || p || (q /\ (r || q || p)) || ~~p
⇒ logic.propositional.genandoverorq || p || (q /\ r) || (q /\ q) || (q /\ p) || ~~p
⇒ logic.propositional.idempandq || p || (q /\ r) || q || (q /\ p) || ~~p
⇒ logic.propositional.absorporq || p || (q /\ r) || q || ~~p
⇒ logic.propositional.absorporq || p || q || ~~p
⇒ logic.propositional.notnotq || p || q || p
⇒ logic.propositional.idemporq || p