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