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