# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X1)))=s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil))))=>?[X2]:![X3]:(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X1))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>?[X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_realaxs_real),X1))))))&s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X4)))))),file('i/f/poly/POLY__ROOTS__INDEX__LENGTH', ch4s_polys_POLYu_u_ROOTSu_u_INDEXu_u_LENGTH)).
fof(45, axiom,![X1]:![X4]:((~(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X1)))=s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),h4s_lists_nil))))&s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_realaxs_real),X1)))=s(t_h4s_nums_num,X4))=>?[X2]:![X3]:(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_polys_poly(s(t_h4s_lists_list(t_h4s_realaxs_real),X1))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=>?[X22]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X4))))&s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X22)))))),file('i/f/poly/POLY__ROOTS__INDEX__LENGTH', ah4s_polys_POLYu_u_ROOTSu_u_INDEXu_u_LEMMA)).
# SZS output end CNFRefutation
