# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)=s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2)))<=>s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ch4s_bags_SETu_u_OFu_u_BAGu_u_EQu_u_EMPTYu_c0)).
fof(13, axiom,![X1]:![X2]:(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)|?[X8]:?[X9]:s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X9),s(t_fun(X1,t_h4s_nums_num),X8)))),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_bags_BAGu_u_cases)).
fof(15, axiom,![X1]:s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_bags_BAGu_u_OFu_u_EMPTY)).
fof(16, axiom,![X1]:![X6]:![X10]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X6),s(t_fun(X1,t_bool),X10)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_predu_u_sets_NOTu_u_INSERTu_u_EMPTY)).
fof(17, axiom,![X1]:![X9]:![X2]:s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X9),s(t_fun(X1,t_h4s_nums_num),X2)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X9),s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_bags_SETu_u_OFu_u_BAGu_u_INSERT)).
# SZS output end CNFRefutation
