# 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(2, axiom,p(s(t_bool,t)),file('i/f/fmapal/fmap__FDOM__rec_c0', aHLu_TRUTH)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/fmapal/fmap__FDOM__rec_c0', aHLu_BOOLu_CASES)).
fof(10, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(11, 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(12, axiom,![X1]:![X2]:![X8]: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)),X8)))))=s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X8))))),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_fmapals_fmapu_u_FDOM)).
fof(13, axiom,![X1]:![X2]:![X9]:s(t_h4s_lists_list(X2),h4s_lists_map(s(t_fun(X1,X2),X9),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_lists_list(X2),h4s_lists_nil),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_lists_MAP0u_c0)).
fof(14, axiom,![X1]:s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/fmapal/fmap__FDOM__rec_c0', ah4s_lists_LISTu_u_TOu_u_SET0u_c0)).
# SZS output end CNFRefutation
