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