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