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