# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X1,h4s_ieees_roundmodeu_u_case(s(t_h4s_ieees_roundmode,h4s_ieees_floatu_u_tou_u_zero),s(X1,X5),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,X4),file('i/f/ieee/roundmode__case__def_c1', ch4s_ieees_roundmodeu_u_caseu_u_defu_c1)).
fof(4, axiom,![X1]:![X7]:![X2]:![X3]:![X4]:![X5]:?[X8]:((p(s(t_bool,X8))<=>s(t_h4s_nums_num,h4s_ieees_roundmode2num(s(t_h4s_ieees_roundmode,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_ieees_roundmodeu_u_case(s(t_h4s_ieees_roundmode,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_ieees_roundmode2num(s(t_h4s_ieees_roundmode,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_ieees_roundmode2num(s(t_h4s_ieees_roundmode,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/ieee/roundmode__case__def_c1', ah4s_ieees_roundmodeu_u_CASE0)).
fof(7, axiom,s(t_h4s_nums_num,h4s_ieees_roundmode2num(s(t_h4s_ieees_roundmode,h4s_ieees_floatu_u_tou_u_zero)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/ieee/roundmode__case__def_c1', ah4s_ieees_roundmode2numu_u_thmu_c1)).
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/ieee/roundmode__case__def_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(10, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X10),s(X1,X9)))=s(X1,X9),file('i/f/ieee/roundmode__case__def_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(13, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/ieee/roundmode__case__def_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X21]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),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,X21)))))=s(t_h4s_nums_num,X21)),file('i/f/ieee/roundmode__case__def_c1', ah4s_ieees_roundmode2numu_u_num2roundmode)).
fof(34, axiom,![X25]:![X26]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X25))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X26)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X26))),file('i/f/ieee/roundmode__case__def_c1', ah4s_numerals_numeralu_u_distribu_c22)).
fof(35, axiom,![X25]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/ieee/roundmode__case__def_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(36, axiom,![X25]:![X26]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X25))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X26))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X25)))))),file('i/f/ieee/roundmode__case__def_c1', ah4s_numerals_numeralu_u_ltu_c5)).
fof(40, axiom,![X27]:?[X21]:(s(t_h4s_ieees_roundmode,X27)=s(t_h4s_ieees_roundmode,h4s_ieees_num2roundmode(s(t_h4s_nums_num,X21)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),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/roundmode__case__def_c1', ah4s_ieees_num2roundmodeu_u_ONTO)).
fof(44, axiom,![X25]:![X26]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X25))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X26)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,X26))),file('i/f/ieee/roundmode__case__def_c1', ah4s_numerals_numeralu_u_ltu_c3)).
# SZS output end CNFRefutation
