# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_fmapals_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_nil)))))))=s(t_bool,f),file('i/f/fmapal/fmap__FDOM__rec_c0', ch4s_fmapals_fmapu_u_FDOMu_u_recu_c0)).
fof(26, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/fmapal/fmap__FDOM__rec_c0', aHLu_BOOLu_CASES)).
fof(30, axiom,![X8]:(s(t_bool,f)=s(t_bool,X8)<=>~(p(s(t_bool,X8)))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(41, axiom,p(s(t_bool,t)),file('i/f/fmapal/fmap__FDOM__rec_c0', aHLu_TRUTH)).
fof(52, axiom,![X1]:![X3]:![X14]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X14)))=s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X3))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_predu_u_sets_SPECIFICATION)).
fof(54, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(56, 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/fmapal/fmap__FDOM__rec_c0', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(59, axiom,![X1]:![X2]:![X22]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_fmapals_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X22)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdateu_u_list),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_reverse(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X22))))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_fmapals_fmap0)).
fof(61, axiom,![X1]:![X2]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdateu_u_list),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_nil)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_finiteu_u_maps_FUPDATEu_u_LISTu_u_THMu_c0)).
fof(62, axiom,![X1]:s(t_h4s_lists_list(X1),h4s_lists_reverse(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_lists_list(X1),h4s_lists_nil),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_lists_REVERSEu_u_DEFu_c0)).
fof(73, axiom,![X1]:![X3]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3)))))=s(t_bool,t),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_options_optionu_u_CLAUSESu_c4)).
# SZS output end CNFRefutation
