Exercise logic.propositional.dnf
Description
Proposition to DNF
All applications
Rule | complor.sort |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [] |
F || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || F
ready: no
Rule | falsezeroor.inv |
Location | [0] |
F || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0] |
(~p <-> (p /\ q)) || F || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,0] |
((F || ~p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,0] |
((~p || F) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,0,0] |
(~(F || p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,0,0] |
(~(p || F) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1] |
(~p <-> (F || (p /\ q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1] |
(~p <-> ((p /\ q) || F)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1,0] |
(~p <-> ((F || p) /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1,0] |
(~p <-> ((p || F) /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1,1] |
(~p <-> (p /\ (F || q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [0,1,1] |
(~p <-> (p /\ (q || F))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1] |
(~p <-> (p /\ q)) || F || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || F
ready: no
Rule | falsezeroor.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || F || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || F || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((F || ~p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((~p || F) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(F || p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(p || F) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (F || (p /\ (F || q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> ((p /\ (F || q)) || F)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> ((F || p) /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> ((p || F) /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q || F))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q || F))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || F || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || F
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || F || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || F || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((F || ~(T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) || F) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(F || (T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~((T /\ p) || F) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~((F || T) /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~((T || F) /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ (F || p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ (p || F)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (F || (p /\ q))) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ((p /\ q) || F)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ((F || p) /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ((p || F) /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ (F || q))) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ (q || F))) || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || F || (~p <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || F
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((F || ~p) <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p || F) <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(F || p) <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(p || F) <-> (p /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (F || (p /\ q)))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ((p /\ q) || F))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ((F || p) /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ((p || F) /\ q))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (F || q)))
ready: no
Rule | falsezeroor.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (q || F)))
ready: no
Rule | idempand.inv |
Location | [] |
((~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ ((~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)))
ready: no
Rule | idempand.inv |
Location | [0] |
((~p <-> (p /\ q)) /\ (~p <-> (p /\ q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [0,0] |
((~p /\ ~p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [0,0,0] |
(~(p /\ p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [0,1] |
(~p <-> (p /\ q /\ p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [0,1,0] |
(~p <-> (p /\ p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [0,1,1] |
(~p <-> (p /\ q /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1] |
(~p <-> (p /\ q)) || (((~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ ((~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))))
ready: no
Rule | idempand.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || ((~p <-> (p /\ (F || q))) /\ (~p <-> (p /\ (F || q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((~p /\ ~p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(p /\ p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q) /\ p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q) /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ ((F /\ F) || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || (q /\ q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (((~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ ((~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))))
ready: no
Rule | idempand.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) <-> (p /\ q)) /\ (~(T /\ p) <-> (p /\ q))) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) /\ ~(T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q /\ p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p <-> (p /\ q)) /\ (~p <-> (p /\ q)))
ready: no
Rule | idempand.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p /\ ~p) <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(p /\ p) <-> (p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q /\ p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ p /\ q))
ready: no
Rule | idempand.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q /\ q))
ready: no
Rule | idempor.inv |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0,0] |
((~p || ~p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0,0,0] |
(~(p || p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0,1] |
(~p <-> ((p /\ q) || (p /\ q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0,1,0] |
(~p <-> ((p || p) /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [0,1,1] |
(~p <-> (p /\ (q || q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((~p || ~p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(p || p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> ((p /\ (F || q)) || (p /\ (F || q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> ((p || p) /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) || ~(T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~((T /\ p) || (T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~((T || T) /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ (p || p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ((p /\ q) || (p /\ q))) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ((p || p) /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ (q || q))) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p || ~p) <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(p || p) <-> (p /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ((p /\ q) || (p /\ q)))
ready: no
Rule | idempor.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ((p || p) /\ q))
ready: no
Rule | idempor.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (q || q)))
ready: no
Rule | logic.propositional.andoveror |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> ((p /\ F) || (p /\ q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.assocor |
Location | [1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.buggy.assoc |
Location | [1,0,1] |
Rule | logic.propositional.buggy.demorgan1 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.demorgan1 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.demorgan1 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.demorgan2 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.demorgan3 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.distr |
Location | [1,0,1] |
Rule | logic.propositional.buggy.distr |
Location | [1,0,1] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim1 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim2 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.equivelim3 |
Location | [0] |
Rule | logic.propositional.buggy.equivelim3 |
Location | [1,0] |
Rule | logic.propositional.buggy.equivelim3 |
Location | [1,1,0] |
Rule | logic.propositional.buggy.equivelim3 |
Location | [1,1,1] |
Rule | logic.propositional.buggy.falseprop |
Location | [1,0,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [0,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,1,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,0,1,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,0,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,0,0,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,0,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1,0,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1,1] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1,1,0] |
Rule | logic.propositional.buggy.idemequiv.inv |
Location | [1,1,1,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [0,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,1,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,0,1,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,0,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,0,0,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,0,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1,0,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1,1] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1,1,0] |
Rule | logic.propositional.buggy.idemimp.inv |
Location | [1,1,1,1,1] |
Rule | logic.propositional.buggy.parenth1 |
Location | [1,1,0,0] |
Rule | logic.propositional.buggy.trueprop |
Location | [1,1,0,0,0] |
Rule | logic.propositional.command |
Location | [0,1] |
(~p <-> (q /\ p)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.command |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> ((F || q) /\ p)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.command |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(p /\ T) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.command |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (q /\ p)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.command |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (q /\ p))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q)))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ (F || q))) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q)))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [] |
(~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [1] |
(~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q)))
ready: no
Rule | logic.propositional.commor |
Location | [1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [1] |
(~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (q || F))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.commor |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | logic.propositional.defequiv |
Location | [0] |
(~p /\ p /\ q) || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.defequiv |
Location | [1,0] |
(~p <-> (p /\ q)) || (~p /\ p /\ (F || q)) || (~~p /\ ~(p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.defequiv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) /\ p /\ q) || (~~(T /\ p) /\ ~(p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.defequiv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p /\ p /\ q) || (~~p /\ ~(p /\ q))
ready: no
Rule | logic.propositional.demorganand |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~T || ~p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~p <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notfalse.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(~F /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
~~((~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)))
ready: no
Rule | notnot.inv |
Location | [0] |
~~(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [0,0] |
(~~~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [0,0,0] |
(~~~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [0,1] |
(~p <-> ~~(p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [0,1,0] |
(~p <-> (~~p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [0,1,1] |
(~p <-> (p /\ ~~q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1] |
(~p <-> (p /\ q)) || ~~((~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)))
ready: no
Rule | notnot.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || ~~(~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || (~~~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~~~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> ~~(p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (~~p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ ~~(F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (~~F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || ~~q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ~~((~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)))
ready: no
Rule | notnot.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ~~(~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~~~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~~~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(~~T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ ~~p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> ~~(p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (~~p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ ~~q)) || (~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ~~(~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~~~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~~~p <-> (p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> ~~(p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (~~p /\ q))
ready: no
Rule | notnot.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ ~~q))
ready: no
Rule | nottrue.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (~T || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [] |
T /\ ((~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q)))
ready: no
Rule | truezeroand.inv |
Location | [] |
((~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ T
ready: no
Rule | truezeroand.inv |
Location | [0] |
(T /\ (~p <-> (p /\ q))) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0] |
((~p <-> (p /\ q)) /\ T) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,0] |
((T /\ ~p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,0] |
((~p /\ T) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,0,0] |
(~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,0,0] |
(~(p /\ T) <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1] |
(~p <-> (T /\ p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1] |
(~p <-> (p /\ q /\ T)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1,0] |
(~p <-> (T /\ p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1,0] |
(~p <-> (p /\ T /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1,1] |
(~p <-> (p /\ T /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [0,1,1] |
(~p <-> (p /\ q /\ T)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1] |
(~p <-> (p /\ q)) || (T /\ ((~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))))
ready: no
Rule | truezeroand.inv |
Location | [1] |
(~p <-> (p /\ q)) || (((~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ T)
ready: no
Rule | truezeroand.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || (T /\ (~p <-> (p /\ (F || q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0] |
(~p <-> (p /\ q)) || ((~p <-> (p /\ (F || q))) /\ T) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((T /\ ~p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,0] |
(~p <-> (p /\ q)) || ((~p /\ T) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(T /\ p) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,0,0] |
(~p <-> (p /\ q)) || (~(p /\ T) <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (T /\ p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q) /\ T)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (T /\ p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ T /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ T /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q) /\ T)) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ ((T /\ F) || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ ((F /\ T) || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || (T /\ q)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,0,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || (q /\ T)))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (T /\ ((~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))))
ready: no
Rule | truezeroand.inv |
Location | [1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (((~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))) /\ T)
ready: no
Rule | truezeroand.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (T /\ (~(T /\ p) <-> (p /\ q))) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) <-> (p /\ q)) /\ T) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((T /\ ~(T /\ p)) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || ((~(T /\ p) /\ T) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p /\ T) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,0,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p /\ T) <-> (p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (T /\ p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q /\ T)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (T /\ p /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ T /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ T /\ q)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,0,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q /\ T)) || (~p <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (T /\ (~p <-> (p /\ q)))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p <-> (p /\ q)) /\ T)
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((T /\ ~p) <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || ((~p /\ T) <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(T /\ p) <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,0,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~(p /\ T) <-> (p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (T /\ p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q /\ T))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (T /\ p /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1,0] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ T /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ T /\ q))
ready: no
Rule | truezeroand.inv |
Location | [1,1,1,1,1] |
(~p <-> (p /\ q)) || (~p <-> (p /\ (F || q))) || (~(T /\ p) <-> (p /\ q)) || (~p <-> (p /\ q /\ T))
ready: no