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