# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_bags_dominates(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X2,t_bool),X3)))),file('i/f/bag/dominates__EMPTY', ch4s_bags_dominatesu_u_EMPTY)).
fof(13, axiom,![X1]:![X2]:![X13]:![X14]:![X4]:(p(s(t_bool,h4s_bags_dominates(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(t_fun(X1,t_bool),X14),s(t_fun(X2,t_bool),X13))))<=>![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X14))))=>?[X11]:(p(s(t_bool,h4s_bools_in(s(X2,X11),s(t_fun(X2,t_bool),X13))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(X1,X8))),s(X2,X11))))))),file('i/f/bag/dominates__EMPTY', ah4s_bags_dominatesu_u_def)).
fof(15, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/bag/dominates__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
