# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))=>p(s(t_bool,h4s_bags_singu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3))))),file('i/f/bag/BAG__DELETE__SING', ch4s_bags_BAGu_u_DELETEu_u_SING)).
fof(32, axiom,![X1]:![X2]:p(s(t_bool,h4s_bags_singu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,X2)))))),file('i/f/bag/BAG__DELETE__SING', ah4s_bags_SINGu_u_ELu_u_BAG)).
fof(34, axiom,![X1]:![X2]:![X19]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X19),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3))))<=>s(t_fun(X1,t_h4s_nums_num),X19)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))),file('i/f/bag/BAG__DELETE__SING', ah4s_bags_BAGu_u_DELETE0)).
fof(50, axiom,![X1]:![X2]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,X2)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))),file('i/f/bag/BAG__DELETE__SING', ah4s_bags_ELu_u_BAG0)).
# SZS output end CNFRefutation
