# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/float__compare2num__thm_c2', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/float__compare2num__thm_c2', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/binary_ieee/float__compare2num__thm_c2', aHLu_BOOLu_CASES)).
fof(5, axiom,s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_eq)=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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_binaryu_u_ieees_EQu_u_def)).
fof(8, axiom,![X8]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),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,X8)))))=s(t_h4s_nums_num,X8)),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_binaryu_u_ieees_floatu_u_compareu_u_BIJu_c1)).
fof(17, axiom,![X8]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),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))))))))))<=>?[X7]:s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_binaryu_u_ieees_floatu_u_compare2num(s(t_h4s_binaryu_u_ieees_floatu_u_compare,X7)))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_binaryu_u_ieees_floatu_u_compare2numu_u_ONTO)).
fof(18, 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_gt)))=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/binary_ieee/float__compare2num__thm_c2', ah4s_binaryu_u_ieees_floatu_u_compare2numu_u_thmu_c1)).
fof(19, 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_lt)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_binaryu_u_ieees_floatu_u_compare2numu_u_thmu_c0)).
fof(23, axiom,![X10]: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,X10)))))=s(t_bool,t),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_numerals_numeralu_u_ltu_c1)).
fof(25, axiom,![X10]:![X19]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X19))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X10)))))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_numerals_numeralu_u_ltu_c5)).
fof(26, 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__compare2num__thm_c2', ah4s_numerals_numeralu_u_ltu_c2)).
fof(28, axiom,![X7]:?[X8]:(s(t_h4s_binaryu_u_ieees_floatu_u_compare,X7)=s(t_h4s_binaryu_u_ieees_floatu_u_compare,h4s_binaryu_u_ieees_num2floatu_u_compare(s(t_h4s_nums_num,X8)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),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_c2', ah4s_binaryu_u_ieees_num2floatu_u_compareu_u_ONTO)).
fof(33, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(41, axiom,s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(t_h4s_ones_one),h4s_bools_theu_u_value)))=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__compare2num__thm_c2', ah4s_wordss_dimwordu_u_1)).
fof(42, axiom,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(t_h4s_nums_num,h4s_nums_suc(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/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_TWO)).
fof(44, axiom,s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(t_h4s_ones_one),h4s_bools_theu_u_value)))=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/binary_ieee/float__compare2num__thm_c2', ah4s_wordss_INTu_u_MINu_u_1)).
fof(73, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(74, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ALTu_u_ZERO)).
fof(75, axiom,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(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ONE)).
fof(76, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_BIT20)).
fof(77, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,X10),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ADDu_c0)).
fof(84, axiom,![X24]:![X10]:![X19]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X24)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X24))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(85, axiom,![X10]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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(t_h4s_nums_num,X10))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(88, axiom,![X10]:![X19]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X10)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X19))))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_NOTu_u_LESS)).
fof(90, axiom,![X10]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X19))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ADDu_u_SYM)).
fof(91, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(116, axiom,![X24]:![X10]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X24)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X24))),file('i/f/binary_ieee/float__compare2num__thm_c2', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(133, 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_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__compare2num__thm_c2', ch4s_binaryu_u_ieees_floatu_u_compare2numu_u_thmu_c2)).
# SZS output end CNFRefutation
