# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X1,h4s_binaryu_u_ieees_floatu_u_compareu_u_case(s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_eq),s(X1,X5),s(X1,X4),s(X1,X3),s(X1,X2)))=s(X1,X3),file('i/f/binary_ieee/float__compare__case__def_c2', ch4s_binaryu_u_ieees_floatu_u_compareu_u_caseu_u_defu_c2)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/float__compare__case__def_c2', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/binary_ieee/float__compare__case__def_c2', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X9),s(X1,X8)))=s(X1,X9),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(7, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X9),s(X1,X8)))=s(X1,X8),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(8, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_numerals_numeralu_u_distribu_c22)).
fof(9, axiom,![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_numerals_numeralu_u_ltu_c2)).
fof(10, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_numerals_numeralu_u_ltu_c4)).
fof(11, axiom,![X1]:![X7]:![X2]:![X3]:![X4]:![X5]:?[X12]:((p(s(t_bool,X12))<=>s(t_h4s_nums_num,h4s_binaryu_u_ieees_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,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_floatu_u_compareu_u_case(s(t_h4s_binaryu_u_ieees_floatu_u_compare,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_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,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_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,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,X12),s(X1,X3),s(X1,X2)))))))),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_binaryu_u_ieees_floatu_u_compareu_u_CASE0)).
fof(12, axiom,s(t_h4s_nums_num,h4s_binaryu_u_ieees_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_eq)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_binaryu_u_ieees_floatu_u_compare2numu_u_thmu_c2)).
fof(13, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/binary_ieee/float__compare__case__def_c2', ah4s_numerals_numeralu_u_ltu_c6)).
# SZS output end CNFRefutation
