set(auto2). clear(fof_reduction). formulas(sos). % axioms for theorem 6 all x (Situation(x)->Object(x)). all x (Object(x) -> (Situation(x) <-> Ex1At(A,x,W) & (all F (Property(F)-> (Enc(x,F) -> (exists p (Proposition(p) & F=VAC(p)))))))). all x all y (Object(x) & Object(y) -> (PartOf(x,y) <-> Ex1At(A,x,W) & Ex1At(A,y,W) & (all F (Property(F) -> (Enc(x,F) -> Enc(y,F)))))). all x all y (Ex1At(A,x,W) & Ex1At(A,y,W) -> ((all F (Property(F) -> (Enc(x,F) <-> Enc(y,F)))) -> x=y)). % denial of theorem 6 -(all x all y ((Object(x) & Object(y)) -> ((Situation(x)&Situation(y)) -> ((all z (Situation(z)-> (PartOf(z,x)<->PartOf(z,y)))) ->x=y)))). end_of_list.