Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule logic.propositional.falsezeroand Location [1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.falsezeroand Location [1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.falsezeroand Location [1,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.idempand Location [0,0,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.idempand Location [0,1,0,0] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.idempand Location [0,1,1,1,0] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.idempand Location [1,0,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.idempand Location [1,1,0,0] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.notnot Location [0,0,0] Term "Nothing" Focus "Nothing" Environment (((q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [0,0,0,0,0] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.notnot Location [0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ p /\ ~q /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [1,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || (((q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [1,0,0,0,0] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.truezeroand Location [0,0,0,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [0,0,0,0,0,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.truezeroand Location [0,0,0,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [0,0,0,0,0,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ p /\ ~q /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [0,0,0,0,0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [0,0,0,0,0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ p /\ ~q /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [0,0,1,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.truezeroand Location [0,0,1,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~r /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [0,0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [0,0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ p /\ ~q /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [0,0,1,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [0,0,1,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ p /\ ~q /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [1,0,0,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [1,0,0,0,0,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.truezeroand Location [1,0,0,0,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [1,0,0,0,0,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ p /\ ~q /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [1,0,0,0,0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q)) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [1,0,0,0,0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ p /\ ~q /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [1,0,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.idempand Location [1,0,1,1] Term "Nothing" Focus "Nothing" Environment Rule logic.propositional.truezeroand Location [1,0,1,0,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~r /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [1,0,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [1,0,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ p /\ ~q /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.truezeroand Location [1,0,1,1,1] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q))) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: noRule logic.propositional.notnot Location [1,0,1,1,1,0] Term "Nothing" Focus "Nothing" Environment ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ ~~(p /\ ~q) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q))) || ((~~(q /\ ~~(p /\ ~q) /\ ~~(p /\ ~q) /\ T) || (~(T /\ r) /\ ~~(p /\ ~q) /\ p /\ ~q /\ T)) /\ ~(~(p /\ ~q) /\ ~(p /\ ~q)) /\ F)ready: no