# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:?[X2]:(s(t_h4s_ieees_roundmode,X1)=s(t_h4s_ieees_roundmode,h4s_ieees_num2roundmode(s(t_h4s_nums_num,X2)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/ieee/num2roundmode__ONTO', ch4s_ieees_num2roundmodeu_u_ONTO)).
fof(38, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X9),file('i/f/ieee/num2roundmode__ONTO', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(39, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/ieee/num2roundmode__ONTO', ah4s_arithmetics_ONE)).
fof(41, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/ieee/num2roundmode__ONTO', ah4s_arithmetics_ALTu_u_ZERO)).
fof(42, axiom,![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>s(t_h4s_nums_num,h4s_ieees_roundmode2num(s(t_h4s_ieees_roundmode,h4s_ieees_num2roundmode(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2)),file('i/f/ieee/num2roundmode__ONTO', ah4s_ieees_roundmodeu_u_BIJu_c1)).
fof(43, axiom,![X1]:s(t_h4s_ieees_roundmode,h4s_ieees_num2roundmode(s(t_h4s_nums_num,h4s_ieees_roundmode2num(s(t_h4s_ieees_roundmode,X1)))))=s(t_h4s_ieees_roundmode,X1),file('i/f/ieee/num2roundmode__ONTO', ah4s_ieees_roundmodeu_u_BIJu_c0)).
# SZS output end CNFRefutation
