# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1))))=>![X2]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X1)))))))),file('i/f/pred_set/in__max__set', ch4s_predu_u_sets_inu_u_maxu_u_set)).
fof(49, axiom,![X11]:![X24]:![X18]:(?[X2]:(s(X11,X2)=s(X11,X24)&p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X2)))))<=>p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X24))))),file('i/f/pred_set/in__max__set', ah4s_bools_UNWINDu_u_THM2)).
fof(62, axiom,![X1]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1))))=>((~(s(t_fun(t_h4s_nums_num,t_bool),X1)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty))=>(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_fun(t_h4s_nums_num,t_bool),X1))))&![X13]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X13),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X1)))))))))&(s(t_fun(t_h4s_nums_num,t_bool),X1)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)=>s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X1)))=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/pred_set/in__max__set', ah4s_predu_u_sets_MAXu_u_SETu_u_DEF)).
fof(75, axiom,![X11]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X11,X2),s(t_fun(X11,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/in__max__set', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(76, axiom,![X11]:![X2]:![X32]:s(t_bool,h4s_bools_in(s(X11,X2),s(t_fun(X11,t_bool),X32)))=s(t_bool,happ(s(t_fun(X11,t_bool),X32),s(X11,X2))),file('i/f/pred_set/in__max__set', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
