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