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