# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X6),s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X5))))&p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X6),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))),file('i/f/bag/BAG__DELETE__11', ch4s_bags_BAGu_u_DELETEu_u_11)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__DELETE__11', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__DELETE__11', aHLu_FALSITY)).
fof(4, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/bag/BAG__DELETE__11', aHLu_BOOLu_CASES)).
fof(16, axiom,![X1]:![X8]:![X4]:![X5]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X8),s(t_fun(X1,t_h4s_nums_num),X5)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X8),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__11', ah4s_bags_BAGu_u_INSERTu_u_ONEu_u_ONE)).
fof(17, axiom,![X1]:![X11]:![X8]:![X19]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X8),s(t_fun(X1,t_h4s_nums_num),X19)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X11),s(t_fun(X1,t_h4s_nums_num),X19)))<=>s(X1,X8)=s(X1,X11)),file('i/f/bag/BAG__DELETE__11', ah4s_bags_Cu_u_BAGu_u_INSERTu_u_ONEu_u_ONE)).
fof(18, axiom,![X1]:![X20]:![X6]:![X19]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X6),s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X19))))<=>s(t_fun(X1,t_h4s_nums_num),X6)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X20),s(t_fun(X1,t_h4s_nums_num),X19)))),file('i/f/bag/BAG__DELETE__11', ah4s_bags_BAGu_u_DELETE0)).
# SZS output end CNFRefutation
