formulas(sos).

all x all d (WorldAt(x,d) -> Object(x) & Point(d)).

all x (Object(x) -> ((exists d (Point(d) & WorldAt(x,d))) -> (all d (Point(d) -> WorldAt(x,d))))).

all x all p ((Object(x) & Proposition(p)) -> ((exists d (Point(d) & TrueInAt(p,x,d))) -> (all d (Point(d) -> TrueInAt(p,x,d))))).

all x all d ((Object(x) & Point(d)) -> ((WorldAt(x,d) & ActualAt(x,d)) -> (all p (Proposition(p) -> (TrueInAt(p,x,d) <-> True(p,d)))))).

all d (Point(d) -> (exists x (WorldAt(x,d) & ActualAt(x,d)))).

Point(W).

all p (NecessarilyTrue(p) <-> (all d (Point(d) -> True(p,d)))).

Point(W).

all x (World(x) <-> WorldAt(x,W)).

all x all p (TrueIn(p,x) <-> TrueInAt(p,x,W)).

end_of_list.


