# 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(27, 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(30, axiom,![X1]:![X2]:(?[X4]:p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X4),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', ah4s_bags_MEMBERu_u_NOTu_u_EMPTY)).
fof(40, axiom,![X1]:![X4]:![X28]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X28)))=s(t_bool,happ(s(t_fun(X1,t_bool),X28),s(X1,X4))),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_predu_u_sets_SPECIFICATION)).
fof(50, axiom,![X1]:![X4]:![X2]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2)))))=s(t_bool,h4s_bags_bagu_u_in(s(X1,X4),s(t_fun(X1,t_h4s_nums_num),X2))),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_bags_INu_u_SETu_u_OFu_u_BAG)).
fof(56, axiom,![X1]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X4)))=s(t_bool,f),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', ah4s_predu_u_sets_EMPTYu_u_DEF)).
fof(58, axiom,~(p(s(t_bool,f))),file('i/f/bag/SET__OF__BAG__EQ__EMPTY_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
