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