# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_binaryu_u_ieees_rounding2num(s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_roundtowardzero)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/binary_ieee/rounding2num__thm_c3', ch4s_binaryu_u_ieees_rounding2numu_u_thmu_c3)).
fof(10, axiom,![X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),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,X12)))))=s(t_h4s_nums_num,X12)),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_binaryu_u_ieees_roundingu_u_BIJu_c1)).
fof(13, axiom,![X9]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_numerals_numeralu_u_distribu_c22)).
fof(24, axiom,![X9]:![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))))),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c5)).
fof(29, axiom,![X9]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c3)).
fof(31, axiom,![X9]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c2)).
fof(40, axiom,s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_roundtowardzero)=s(t_h4s_binaryu_u_ieees_rounding,h4s_binaryu_u_ieees_num2rounding(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/binary_ieee/rounding2num__thm_c3', ah4s_binaryu_u_ieees_roundTowardZerou_u_def)).
fof(42, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/rounding2num__thm_c3', aHLu_TRUTH)).
fof(43, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/rounding2num__thm_c3', aHLu_FALSITY)).
fof(44, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/binary_ieee/rounding2num__thm_c3', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
