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