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