# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FUNION__EQ__FEMPTY', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X8]:![X5]:![X4]:s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8))),h4s_finiteu_u_maps_funion),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4))),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5)))))=s(t_fun(X7,t_bool),h4s_predu_u_sets_union(s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4))),s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5))))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c0)).
fof(12, axiom,![X7]:![X8]:![X12]:s(t_h4s_finiteu_u_maps_fmap(X7,X8),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8))),h4s_finiteu_u_maps_funion),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X12))),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X12)))=s(t_h4s_finiteu_u_maps_fmap(X7,X8),X12),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_FUNIONu_u_IDEMPOT)).
fof(23, axiom,![X7]:![X8]:![X5]:![X4]:((s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4)))=s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5)))&![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4))))))=>s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4),s(X7,X6)))=s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5),s(X7,X6)))))<=>s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4)=s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5)),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(55, axiom,![X8]:![X7]:s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(74, axiom,![X7]:![X27]:s(t_fun(X7,t_bool),h4s_predu_u_sets_union(s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),s(t_fun(X7,t_bool),X27)))=s(t_fun(X7,t_bool),X27),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c0)).
fof(121, axiom,![X7]:![X1]:![X27]:(s(t_fun(X7,t_bool),h4s_predu_u_sets_union(s(t_fun(X7,t_bool),X27),s(t_fun(X7,t_bool),X1)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty)<=>(s(t_fun(X7,t_bool),X27)=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty)&s(t_fun(X7,t_bool),X1)=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_EMPTYu_u_UNION)).
fof(123, axiom,![X7]:![X6]:![X26]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X26)))=s(t_bool,happ(s(t_fun(X7,t_bool),X26),s(X7,X6))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(129, axiom,![X7]:![X6]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),h4s_lists_nil)))))=s(t_bool,f),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_lists_MEMu_c0)).
fof(132, axiom,![X7]:s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),h4s_lists_nil)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_lists_LISTu_u_TOu_u_SET0u_c0)).
fof(133, conjecture,![X7]:![X8]:![X50]:![X51]:(s(t_h4s_finiteu_u_maps_fmap(X7,X8),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_fun(t_h4s_finiteu_u_maps_fmap(X7,X8),t_h4s_finiteu_u_maps_fmap(X7,X8))),h4s_finiteu_u_maps_funion),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X51))),s(t_h4s_finiteu_u_maps_fmap(X7,X8),X50)))=s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty)<=>(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X51)=s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty)&s(t_h4s_finiteu_u_maps_fmap(X7,X8),X50)=s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ch4s_finiteu_u_maps_FUNIONu_u_EQu_u_FEMPTY)).
# SZS output end CNFRefutation
