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