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