# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_mapu_u_keys(s(t_fun(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X3),h4s_finiteu_u_maps_fempty)))=s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_fempty),file('i/f/finite_map/MAP__KEYS__FEMPTY', ch4s_finiteu_u_maps_MAPu_u_KEYSu_u_FEMPTY)).
fof(6, axiom,![X2]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/MAP__KEYS__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(7, axiom,![X1]:![X2]:![X4]:(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/MAP__KEYS__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_EQu_u_EMPTY)).
fof(8, axiom,![X2]:![X1]:![X3]:![X7]:![X4]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_mapu_u_keys(s(t_fun(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X3),X7)))))=s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X3),X7))))),file('i/f/finite_map/MAP__KEYS__FEMPTY', ah4s_finiteu_u_maps_MAPu_u_KEYSu_u_defu_c0)).
fof(9, axiom,![X1]:![X2]:![X4]:s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/MAP__KEYS__FEMPTY', ah4s_predu_u_sets_IMAGEu_u_EMPTY)).
# SZS output end CNFRefutation
