# 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(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__DELETE__SING', aHLu_FALSITY)).
fof(28, axiom,![X1]:![X3]:(p(s(t_bool,h4s_bags_singu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3))))<=>?[X8]:s(t_fun(X1,t_h4s_nums_num),X3)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X8),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))),file('i/f/bag/BAG__DELETE__SING', ah4s_bags_SINGu_u_BAG0)).
fof(29, axiom,![X1]:![X2]:![X21]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X21),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3))))<=>s(t_fun(X1,t_h4s_nums_num),X21)=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(30, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/BAG__DELETE__SING', aHLu_BOOLu_CASES)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__DELETE__SING', aHLu_TRUTH)).
fof(33, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/bag/BAG__DELETE__SING', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
