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