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