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