# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X2))))&((s(t_fun(t_h4s_nums_num,t_bool),X2)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,h4s_nums_0)))))&![X3]:((![X4]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X4),s(t_fun(t_h4s_nums_num,t_bool),X2))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))))&p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X2)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X3)))))))=>p(s(t_bool,happ(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),X2))))))),file('i/f/pred_set/MAX__SET__ELIM', ch4s_predu_u_sets_MAXu_u_SETu_u_ELIM)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/MAX__SET__ELIM', aHLu_FALSITY)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/pred_set/MAX__SET__ELIM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X10]:((p(s(t_bool,X10))=>p(s(t_bool,f)))<=>s(t_bool,X10)=s(t_bool,f)),file('i/f/pred_set/MAX__SET__ELIM', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(32, axiom,![X10]:(s(t_bool,X10)=s(t_bool,f)<=>~(p(s(t_bool,X10)))),file('i/f/pred_set/MAX__SET__ELIM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(58, axiom,![X30]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X30))))=>((~(s(t_fun(t_h4s_nums_num,t_bool),X30)=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),X30))),s(t_fun(t_h4s_nums_num,t_bool),X30))))&![X4]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X4),s(t_fun(t_h4s_nums_num,t_bool),X30))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X30)))))))))&(s(t_fun(t_h4s_nums_num,t_bool),X30)=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),X30)))=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/pred_set/MAX__SET__ELIM', ah4s_predu_u_sets_MAXu_u_SETu_u_DEF)).
# SZS output end CNFRefutation
