# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(X1,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X1),X2)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/container/LIST__TO__BAG__EQ__EMPTY', ch4s_containers_LISTu_u_TOu_u_BAGu_u_EQu_u_EMPTY)).
fof(13, axiom,![X1]:![X2]:(s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X8]:?[X3]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X3)))),file('i/f/container/LIST__TO__BAG__EQ__EMPTY', ah4s_lists_listu_u_nchotomy)).
fof(15, axiom,![X1]:s(t_fun(X1,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag),file('i/f/container/LIST__TO__BAG__EQ__EMPTY', ah4s_containers_LISTu_u_TOu_u_BAGu_u_defu_c0)).
fof(16, axiom,![X1]:![X3]:![X8]:s(t_fun(X1,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X3)))))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X8),s(t_fun(X1,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X1),X3))))),file('i/f/container/LIST__TO__BAG__EQ__EMPTY', ah4s_containers_LISTu_u_TOu_u_BAGu_u_defu_c1)).
fof(17, axiom,![X1]:![X6]:![X11]:~(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X6),s(t_fun(X1,t_h4s_nums_num),X11)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/container/LIST__TO__BAG__EQ__EMPTY', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
# SZS output end CNFRefutation
