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