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