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