Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule logic.propositional.falsezeroand Location [1,1,1,1,1,1,1,1,1,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (F || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.falsezeroand Location [1,1,1,1,1,1,1,1,1,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,0,0,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,0,1,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ T)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,1,0,1,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ T)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,1,1,1,0,1,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ T)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,1,1,1,1,0,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,1,1,1,1,1,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ T))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,0,0,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,0,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ p /\ ~q /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,1,0,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ p /\ ~q /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,1,1,1,0,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ p /\ ~q /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,1,1,1,1,0,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ p /\ ~q /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,1,1,1,1,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ p /\ ~q /\ ~F))ready: noRule logic.propositional.nottrue Location [1,1,1,1,1,1,1,0,0,0,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~F /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.truezeroand Location [1,1,1,1,1,1,1,1,1,1,0,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (p || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.truezeroor Location [1,1,1,1,1,1,1,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ T /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notfalse Location [1,1,1,1,1,1,1,1,1,0,1,1,1] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ ~~(p /\ ~q) /\ T)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: noRule logic.propositional.notnot Location [1,1,1,1,1,1,1,1,1,0,1,1,0] 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 || (~~T /\ ~F /\ ~q /\ p /\ T /\ ~q)) /\ ((~~T /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (~q || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ (T || (~r /\ p /\ ~q /\ ~F)) /\ ((p /\ T) || (~r /\ ~~(p /\ ~q) /\ ~F)) /\ ((F /\ ~~(p /\ ~q) /\ ~F) || (~r /\ ~~(p /\ ~q) /\ ~F))ready: no