# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_seqs_sums(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X1))))<=>(p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))&s(t_h4s_realaxs_real,h4s_seqs_suminf(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2)))=s(t_h4s_realaxs_real,X1))),file('i/f/util_prob/SUMS__EQ', ch4s_utilu_u_probs_SUMSu_u_EQ)).
fof(29, axiom,![X2]:(p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))=>p(s(t_bool,h4s_seqs_sums(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,h4s_seqs_suminf(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))))),file('i/f/util_prob/SUMS__EQ', ah4s_seqs_SUMMABLEu_u_SUM)).
fof(31, axiom,![X1]:![X2]:(p(s(t_bool,h4s_seqs_sums(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X1))))=>s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,h4s_seqs_suminf(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2)))),file('i/f/util_prob/SUMS__EQ', ah4s_seqs_SUMu_u_UNIQ)).
fof(39, axiom,![X2]:(p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))<=>?[X24]:p(s(t_bool,h4s_seqs_sums(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X24))))),file('i/f/util_prob/SUMS__EQ', ah4s_seqs_summable0)).
# SZS output end CNFRefutation
