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