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