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