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