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