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