formulas(assumptions). % Description Theorem 1 all F (relation1(F) -> ((exists x (object(x) & exemplifies1(F,x) & (all y (object(y) -> (exemplifies1(F,y) -> y=x))))) -> (exists x (object(x) & is_the(x,F))))). % Description Theorem 2 all F (relation1(F) -> ((exists x (object(x) & is_the(x,F))) -> (all y (object(y) -> (is_the(y,F) -> exemplifies1(F,y)))))). % Typing on is_the all x all F (is_the(x,F) -> (relation1(F) & object(x))). % Def: nonegreater all x (object(x) -> (exemplifies1(nonegreater,x) <-> (exemplifies1(conceivable,x) & -(exists y (object(y) & exemplifies2(greaterthan,y,x) & exemplifies1(conceivable,y)))))). % Premise 1 exists x (object(x) & exemplifies1(nonegreater,x)). % Lemma 2 exists x (object(x) & exemplifies1(nonegreater,x)) -> exists x (object(x) & exemplifies1(nonegreater,x) & (all y (object(y) -> (exemplifies1(nonegreater,y) -> y=x)))). % Premise 2 all x (object(x) -> ((is_the(x,nonegreater) & -exemplifies1(e,x)) -> exists y (object(y) & exemplifies2(greaterthan,y,x) & exemplifies1(conceivable,y)))). % Definition of God is_the(g,nonegreater). end_of_list. formulas(goals). exemplifies1(e,g). end_of_list.