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