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