# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_minu_u_set),s(t_fun(t_h4s_nums_num,t_bool),X1))),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/MIN__SET__LEQ__MAX__SET', ch4s_predu_u_sets_MINu_u_SETu_u_LEQu_u_MAXu_u_SET)).
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))))&![X14]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X14),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),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/MIN__SET__LEQ__MAX__SET', ah4s_predu_u_sets_MAXu_u_SETu_u_DEF)).
fof(63, axiom,![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,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_minu_u_set),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_fun(t_h4s_nums_num,t_bool),X1))))&![X11]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X11),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_minu_u_set),s(t_fun(t_h4s_nums_num,t_bool),X1))),s(t_h4s_nums_num,X11))))))),file('i/f/pred_set/MIN__SET__LEQ__MAX__SET', ah4s_predu_u_sets_MINu_u_SETu_u_LEM)).
fof(76, axiom,![X10]:![X11]:![X32]:s(t_bool,h4s_bools_in(s(X10,X11),s(t_fun(X10,t_bool),X32)))=s(t_bool,happ(s(t_fun(X10,t_bool),X32),s(X10,X11))),file('i/f/pred_set/MIN__SET__LEQ__MAX__SET', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
