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