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