# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)<=>(s(t_fun(X1,t_h4s_nums_num),X3)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)&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/BAG__UNION__EMPTY_c2', ch4s_bags_BAGu_u_UNIONu_u_EMPTYu_c2)).
fof(33, axiom,![X4]:![X22]:![X23]:(s(t_fun(X4,t_h4s_nums_num),X23)=s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X4,t_h4s_nums_num),X22),s(t_fun(X4,t_h4s_nums_num),X23)))<=>s(t_fun(X4,t_h4s_nums_num),X22)=s(t_fun(X4,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__UNION__EMPTY_c2', ah4s_bags_BAGu_u_UNIONu_u_EQu_u_RCANCEL1)).
fof(36, axiom,![X4]:![X23]:(s(t_fun(X4,t_h4s_nums_num),X23)=s(t_fun(X4,t_h4s_nums_num),h4s_bags_emptyu_u_bag)|?[X25]:?[X26]:s(t_fun(X4,t_h4s_nums_num),X23)=s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X4,X26),s(t_fun(X4,t_h4s_nums_num),X25)))),file('i/f/bag/BAG__UNION__EMPTY_c2', ah4s_bags_BAGu_u_cases)).
fof(37, axiom,![X4]:![X6]:![X23]:~(s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X4,X6),s(t_fun(X4,t_h4s_nums_num),X23)))=s(t_fun(X4,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__UNION__EMPTY_c2', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
fof(42, axiom,![X4]:![X2]:![X3]:s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X4,t_h4s_nums_num),X3),s(t_fun(X4,t_h4s_nums_num),X2)))=s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X4,t_h4s_nums_num),X2),s(t_fun(X4,t_h4s_nums_num),X3))),file('i/f/bag/BAG__UNION__EMPTY_c2', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(69, axiom,![X4]:![X26]:![X2]:![X3]:s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X4,t_h4s_nums_num),X3),s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X4,X26),s(t_fun(X4,t_h4s_nums_num),X2)))))=s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X4,X26),s(t_fun(X4,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X4,t_h4s_nums_num),X3),s(t_fun(X4,t_h4s_nums_num),X2))))),file('i/f/bag/BAG__UNION__EMPTY_c2', ah4s_bags_BAGu_u_UNIONu_u_INSERTu_c1)).
# SZS output end CNFRefutation
