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