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