set(auto2). clear(fof_reduction). formulas(usable). % Logical Axiom: EncAt(x,F,d) is rigid. all x all F ((Object(x) & Property(F)) -> ((exists d (Point(d) & EncAt(x,F,d))) -> (all d (Point(d) -> EncAt(x,F,d))))). % Definition: EncpAt(x,p,d) all x all p all d ((Object(x) & Proposition(p) & Point(d)) -> (EncpAt(x,p,d) <-> (exists F (Property(F) & F=VAC(p) & EncAt(x,F,d))))). % Definition: TrueInAt(p,x,d) all p all x all d ((Object(x) & Proposition(p) & Point(d)) -> (TrueInAt(p,x,d) <-> EncpAt(x,p,d))). end_of_list. formulas(sos). % Denial Corollary to L2 - Rigidity of TrueIn -(all x all p ((Object(x) & Proposition(p)) -> ((exists d (Point(d) & TrueInAt(p,x,d))) -> (all d (Point(d) -> TrueInAt(p,x,d)))))). end_of_list.