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