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