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