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