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