# 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),X5),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4)))))=>?[X7]:(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),X7))))&p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X7),s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X4)))))),file('i/f/bag/BAG__DELETE__commutes', ch4s_bags_BAGu_u_DELETEu_u_commutes)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__DELETE__commutes', aHLu_TRUTH)).
fof(5, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/bag/BAG__DELETE__commutes', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X1]:![X23]:![X6]:![X24]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X6),s(X1,X23),s(t_fun(X1,t_h4s_nums_num),X24))))<=>s(t_fun(X1,t_h4s_nums_num),X6)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X23),s(t_fun(X1,t_h4s_nums_num),X24)))),file('i/f/bag/BAG__DELETE__commutes', ah4s_bags_BAGu_u_DELETE0)).
fof(16, axiom,![X1]:![X2]:![X3]:![X24]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X24)))))=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_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X24))))),file('i/f/bag/BAG__DELETE__commutes', ah4s_bags_BAGu_u_INSERTu_u_commutes)).
fof(17, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/bag/BAG__DELETE__commutes', aHLu_BOOLu_CASES)).
fof(18, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__DELETE__commutes', aHLu_FALSITY)).
# SZS output end CNFRefutation
