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