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