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