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