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