# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),file('i/f/finite_map/FUNION__FEMPTY__2', ch4s_finiteu_u_maps_FUNIONu_u_FEMPTYu_u_2)).
fof(6, axiom,![X1]:![X2]:![X12]:![X3]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12))))),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c0)).
fof(7, axiom,![X2]:![X1]:![X5]:![X12]:![X3]:s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12))),s(X1,X5)))=s(X2,h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X5))),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12),s(X1,X5))))),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c1)).
fof(8, 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/FUNION__FEMPTY__2', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(14, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X1]:![X13]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X13),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),X13),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c1)).
fof(16, axiom,![X1]:![X2]:![X12]:![X3]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12)))&![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X5)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12),s(X1,X5)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12)),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(18, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X9),s(X1,X8)))=s(X1,X9),file('i/f/finite_map/FUNION__FEMPTY__2', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
# SZS output end CNFRefutation
