# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_h4s_nums_num,X3)))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X3)))))=>![X4]:![X2]:((?[X5]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X6))))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,X6)))))))&p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))=>p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2)))))))),file('i/f/seq/SER__COMPARA', ch4s_seqs_SERu_u_COMPARA)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SER__COMPARA', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/seq/SER__COMPARA', aHLu_FALSITY)).
fof(6, axiom,![X4]:![X2]:((?[X5]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X6))))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,X6)))))))&p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4)))))=>p(s(t_bool,h4s_seqs_summable(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))))),file('i/f/seq/SER__COMPARA', ah4s_seqs_SERu_u_COMPAR)).
fof(7, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f0)),file('i/f/seq/SER__COMPARA', aHLu_BOOLu_CASES)).
fof(9, axiom,![X8]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X8))),file('i/f/seq/SER__COMPARA', ah4s_reals_ABSu_u_ABS)).
# SZS output end CNFRefutation
