# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,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_un)))=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/float__compare2num__thm_c3', ch4s_binaryu_u_ieees_floatu_u_compare2numu_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_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,X12)),file('i/f/binary_ieee/float__compare2num__thm_c3', ah4s_binaryu_u_ieees_floatu_u_compareu_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/float__compare2num__thm_c3', ah4s_numerals_numeralu_u_distribu_c22)).
fof(15, axiom,![X13]:?[X12]:(s(t_h4s_binaryu_u_ieees_floatu_u_compare,X13)=s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(s(t_h4s_nums_num,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))))))))))),file('i/f/binary_ieee/float__compare2num__thm_c3', ah4s_binaryu_u_ieees_num2floatu_u_compareu_u_ONTO)).
fof(16, axiom,![X14]:![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))))))))))=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),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_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(s(t_h4s_nums_num,X12)))=s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(s(t_h4s_nums_num,X14)))<=>s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,X14)))),file('i/f/binary_ieee/float__compare2num__thm_c3', ah4s_binaryu_u_ieees_num2floatu_u_compareu_u_11)).
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/float__compare2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c5)).
fof(26, 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/float__compare2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c3)).
fof(32, 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/float__compare2num__thm_c3', ah4s_numerals_numeralu_u_ltu_c2)).
fof(41, axiom,s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_un)=s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(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/float__compare2num__thm_c3', ah4s_binaryu_u_ieees_UNu_u_def)).
fof(43, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/float__compare2num__thm_c3', aHLu_TRUTH)).
fof(44, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/float__compare2num__thm_c3', aHLu_FALSITY)).
fof(45, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/binary_ieee/float__compare2num__thm_c3', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
