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