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