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