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