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