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