# 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(2, axiom,~(p(s(t_bool,f0))),file('i/f/util_prob/SUMS__EQ', aHLu_FALSITY)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f0)<=>~(p(s(t_bool,X5)))),file('i/f/util_prob/SUMS__EQ', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(31, axiom,![X2]:(p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))<=>?[X14]:p(s(t_bool,h4s_seqs_sums(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X14))))),file('i/f/util_prob/SUMS__EQ', ah4s_seqs_summable0)).
fof(33, 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(42, axiom,p(s(t_bool,t)),file('i/f/util_prob/SUMS__EQ', aHLu_TRUTH)).
fof(49, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/util_prob/SUMS__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
