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