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