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