# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X1,h4s_binaryu_u_ieees_roundingu_u_case(s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_roundtiestoeven),s(X1,X5),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,X5),file('i/f/binary_ieee/rounding__case__def_c0', ch4s_binaryu_u_ieees_roundingu_u_caseu_u_defu_c0)).
fof(3, axiom,![X1]:![X7]:![X2]:![X3]:![X4]:![X5]:?[X8]:((p(s(t_bool,X8))<=>s(t_h4s_nums_num,h4s_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,X7)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))&s(X1,h4s_binaryu_u_ieees_roundingu_u_case(s(t_h4s_binaryu_u_ieees_rounding,X7),s(X1,X5),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,X7))),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(X1,X5),s(X1,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,X7))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(X1,X4),s(X1,h4s_bools_cond(s(t_bool,X8),s(X1,X3),s(X1,X2)))))))),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_binaryu_u_ieees_roundingu_u_CASE0)).
fof(4, axiom,s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_roundtiestoeven)=s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_num2rounding(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_binaryu_u_ieees_roundTiesToEvenu_u_def)).
fof(5, axiom,s(t_h4s_nums_num,h4s_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_roundtiestoeven)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_binaryu_u_ieees_rounding2numu_u_thmu_c0)).
fof(9, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X10),s(X1,X9)))=s(X1,X10),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(27, axiom,![X24]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X24)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X24))),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_numerals_numeralu_u_distribu_c21)).
fof(30, axiom,![X24]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X24)))))=s(t_bool,t),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_numerals_numeralu_u_ltu_c0)).
fof(32, axiom,![X17]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),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_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_num2rounding(s(t_h4s_nums_num,X17)))))=s(t_h4s_nums_num,X17)),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_binaryu_u_ieees_rounding2numu_u_num2rounding)).
fof(33, axiom,![X24]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X24)))))=s(t_bool,t),file('i/f/binary_ieee/rounding__case__def_c0', ah4s_numerals_numeralu_u_ltu_c1)).
fof(37, axiom,![X26]:?[X17]:(s(t_h4s_binaryu_u_ieees_rounding,X26)=s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_num2rounding(s(t_h4s_nums_num,X17)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),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/binary_ieee/rounding__case__def_c0', ah4s_binaryu_u_ieees_num2roundingu_u_ONTO)).
# SZS output end CNFRefutation
