# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X4),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_cons(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X6))))))))))<=>(s(X1,X4)=s(X1,X5)|p(s(t_bool,h4s_bools_in(s(X1,X4),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)),X6)))))))))),file('i/f/fmapal/fmap__FDOM__rec_c1', ch4s_fmapals_fmapu_u_FDOMu_u_recu_c1)).
fof(5, axiom,![X1]:![X7]:![X4]:![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),X8))))))<=>(s(X1,X4)=s(X1,X7)|p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X8)))))),file('i/f/fmapal/fmap__FDOM__rec_c1', ah4s_predu_u_sets_INu_u_INSERT)).
fof(6, axiom,![X1]:![X2]:![X6]: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)),X6)))))=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)),X6))))),file('i/f/fmapal/fmap__FDOM__rec_c1', ah4s_fmapals_fmapu_u_FDOM)).
fof(7, axiom,![X2]:![X1]:![X7]:![X4]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X7)))))=s(X1,X4),file('i/f/fmapal/fmap__FDOM__rec_c1', ah4s_pairs_FST0)).
fof(8, axiom,![X2]:![X1]:![X9]:![X10]:![X11]:s(t_h4s_lists_list(X2),h4s_lists_map(s(t_fun(X1,X2),X11),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X10),s(t_h4s_lists_list(X1),X9)))))=s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,happ(s(t_fun(X1,X2),X11),s(X1,X10))),s(t_h4s_lists_list(X2),h4s_lists_map(s(t_fun(X1,X2),X11),s(t_h4s_lists_list(X1),X9))))),file('i/f/fmapal/fmap__FDOM__rec_c1', ah4s_lists_MAP0u_c1)).
fof(9, axiom,![X2]:![X9]:![X10]:s(t_fun(X2,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X10),s(t_h4s_lists_list(X2),X9)))))=s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X10),s(t_fun(X2,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X2),X9))))),file('i/f/fmapal/fmap__FDOM__rec_c1', ah4s_lists_LISTu_u_TOu_u_SET0u_c1)).
# SZS output end CNFRefutation
