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