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