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