# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))),file('i/f/bag/BAG__EVERY__THM_c0', ch4s_bags_BAGu_u_EVERYu_u_THMu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__EVERY__THM_c0', aHLu_FALSITY)).
fof(28, axiom,![X1]:![X17]:![X2]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_nums_num),X17))))<=>![X18]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X18),s(t_fun(X1,t_h4s_nums_num),X17))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X18)))))),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bags_BAGu_u_EVERY0)).
fof(29, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X6),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(32, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bag/BAG__EVERY__THM_c0', aHLu_BOOLu_CASES)).
fof(34, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__EVERY__THM_c0', aHLu_TRUTH)).
# SZS output end CNFRefutation
