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