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