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