# 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_funu_u_fmap(s(t_fun(X1,X2),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty),file('i/f/finite_map/FUN__FMAP__EMPTY', ch4s_finiteu_u_maps_FUNu_u_FMAPu_u_EMPTY)).
fof(12, 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/FUN__FMAP__EMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(13, 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)))&![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),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,X7)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12),s(X1,X7)))))<=>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/FUN__FMAP__EMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(14, axiom,![X2]:![X1]:![X3]:![X13]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X13))))=>(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X1,X2),X3),s(t_fun(X1,t_bool),X13)))))=s(t_fun(X1,t_bool),X13)&![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X13))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X1,X2),X3),s(t_fun(X1,t_bool),X13))),s(X1,X7)))=s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X7)))))),file('i/f/finite_map/FUN__FMAP__EMPTY', ah4s_finiteu_u_maps_FUNu_u_FMAPu_u_DEF)).
fof(15, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FUN__FMAP__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(16, axiom,![X1]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/finite_map/FUN__FMAP__EMPTY', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
# SZS output end CNFRefutation
