# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>?[X3]:((p(s(t_bool,X3))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))&s(t_h4s_lists_list(X1),happ(s(t_fun(t_fun(X1,t_bool),t_h4s_lists_list(X1)),h4s_lists_setu_u_tou_u_list),s(t_fun(X1,t_bool),X2)))=s(t_h4s_lists_list(X1),h4s_bools_cond(s(t_bool,X3),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_fun(X1,t_bool),t_h4s_lists_list(X1)),h4s_lists_setu_u_tou_u_list),s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))))))))))),file('i/f/container/SET__TO__LIST__THM', ch4s_containers_SETu_u_TOu_u_LISTu_u_THM)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>?[X3]:((p(s(t_bool,X3))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))&s(t_h4s_lists_list(X1),happ(s(t_fun(t_fun(X1,t_bool),t_h4s_lists_list(X1)),h4s_lists_setu_u_tou_u_list),s(t_fun(X1,t_bool),X2)))=s(t_h4s_lists_list(X1),h4s_bools_cond(s(t_bool,X3),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_fun(X1,t_bool),t_h4s_lists_list(X1)),h4s_lists_setu_u_tou_u_list),s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))))))))))),file('i/f/container/SET__TO__LIST__THM', ah4s_lists_SETu_u_TOu_u_LISTu_u_THM)).
fof(51, axiom,p(s(t_bool,t)),file('i/f/container/SET__TO__LIST__THM', aHLu_TRUTH)).
fof(54, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/container/SET__TO__LIST__THM', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
