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