fof(dummy_abbr_test_adj,conjecture,~?[Xy]:elem(Xy,fx)=>~?[Xy]:elem(Xy,fx)). ------------------ fof(dummy_abbr_test_noun,conjecture,fx=fx). fof(dummy_abbr_test_adj,axiom,![Xx]:(~?[Xy]:elem(Xy,Xx)=>~?[Xy]:elem(Xy,Xx))). ------------------ fof(dummy_abbr_test_verb,conjecture,fx=fy=>fx=fy). fof(dummy_abbr_test_noun,axiom,![Xx]:Xx=Xx). fof(dummy_abbr_test_adj,axiom,![Xx]:(~?[Xy]:elem(Xy,Xx)=>~?[Xy]:elem(Xy,Xx))). ------------------ fof(abbr_test_notin,conjecture,~elem(fx,fy)=>~elem(fx,fy)). fof(dummy_abbr_test_verb,axiom,![Xx,Xy]:(Xx=Xy=>Xx=Xy)). fof(dummy_abbr_test_noun,axiom,![Xx]:Xx=Xx). fof(dummy_abbr_test_adj,axiom,![Xx]:(~?[Xy]:elem(Xy,Xx)=>~?[Xy]:elem(Xy,Xx))). ------------------ fof(abbr_test_elementof_is_in,conjecture,elem(fx,fy)=>elem(fx,fy)). fof(abbr_test_notin,axiom,![Xx,Xy]:(~elem(Xx,Xy)=>~elem(Xx,Xy))). fof(dummy_abbr_test_verb,axiom,![Xx,Xy]:(Xx=Xy=>Xx=Xy)). fof(dummy_abbr_test_noun,axiom,![Xx]:Xx=Xx). fof(dummy_abbr_test_adj,axiom,![Xx]:(~?[Xy]:elem(Xy,Xx)=>~?[Xy]:elem(Xy,Xx))). ------------------ fof(abbr_test_equals_is_eq,conjecture,fx=fy=>fx=fy). fof(abbr_test_elementof_is_in,axiom,![Xx,Xy]:(elem(Xx,Xy)=>elem(Xx,Xy))). fof(abbr_test_notin,axiom,![Xx,Xy]:(~elem(Xx,Xy)=>~elem(Xx,Xy))). fof(dummy_abbr_test_verb,axiom,![Xx,Xy]:(Xx=Xy=>Xx=Xy)). fof(dummy_abbr_test_noun,axiom,![Xx]:Xx=Xx). fof(dummy_abbr_test_adj,axiom,![Xx]:(~?[Xy]:elem(Xy,Xx)=>~?[Xy]:elem(Xy,Xx))).