# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X5))),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))=>((s(X1,X3)=s(X1,X2)&s(t_fun(X1,t_h4s_nums_num),X5)=s(t_fun(X1,t_h4s_nums_num),X4))|(?[X6]:p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X5),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X6))))&~(s(X1,X3)=s(X1,X2))))),file('i/f/bag/BAG__DELETE__INSERT', ch4s_bags_BAGu_u_DELETEu_u_INSERT)).
fof(49, axiom,![X1]:![X20]:![X21]:![X22]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X21),s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X22))))<=>s(t_fun(X1,t_h4s_nums_num),X21)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X22)))),file('i/f/bag/BAG__DELETE__INSERT', ah4s_bags_BAGu_u_DELETE0)).
fof(50, axiom,![X1]:![X20]:![X22]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X22))))=>?[X23]:p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X22),s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X23))))),file('i/f/bag/BAG__DELETE__INSERT', ah4s_bags_BAGu_u_INu_u_BAGu_u_DELETE)).
fof(51, axiom,![X1]:![X24]:![X25]:![X22]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X25),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X24),s(t_fun(X1,t_h4s_nums_num),X22))))))<=>(s(X1,X25)=s(X1,X24)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X25),s(t_fun(X1,t_h4s_nums_num),X22)))))),file('i/f/bag/BAG__DELETE__INSERT', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(52, axiom,![X1]:![X3]:![X4]:![X5]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X5)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X4)))<=>s(t_fun(X1,t_h4s_nums_num),X5)=s(t_fun(X1,t_h4s_nums_num),X4)),file('i/f/bag/BAG__DELETE__INSERT', ah4s_bags_BAGu_u_INSERTu_u_ONEu_u_ONE)).
# SZS output end CNFRefutation
