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