# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_binaryu_u_ieees_floatu_u_tou_u_real(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_zero(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/zero__to__real_c0', ch4s_binaryu_u_ieees_zerou_u_tou_u_realu_c0)).
fof(5, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,X5)))=s(t_h4s_realaxs_real,X5),file('i/f/binary_ieee/zero__to__real_c0', ah4s_reals_REALu_u_MULu_u_LID)).
fof(8, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(9, axiom,![X5]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X5)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_reals_REALu_u_DIVu_u_LZERO)).
fof(10, axiom,![X5]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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/zero__to__real_c0', ah4s_reals_powu_u_ratu_c0)).
fof(11, axiom,![X3]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/binary_ieee/zero__to__real_c0', ah4s_wordss_wordu_u_0u_u_n2w)).
fof(12, axiom,![X2]:![X1]:![X5]:?[X11]:((p(s(t_bool,X11))<=>s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))&s(t_h4s_realaxs_real,h4s_binaryu_u_ieees_floatu_u_tou_u_real(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X11),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_wordss_w2n(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_wordss_intu_u_max(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_wordss_w2n(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_wordss_intu_u_max(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))))))))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_tou_u_realu_u_def)).
fof(13, axiom,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_zero(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))=s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),h4s_combins_k(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_exponentu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),h4s_combins_k(s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_significandu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_fcps_cart(t_bool,X1)),h4s_combins_k(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_bools_arb))))))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_plusu_u_zerou_u_def)).
fof(15, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c2)).
fof(16, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c4)).
fof(17, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_exponentu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c5)).
fof(18, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),X12),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_binaryu_u_ieees_floatu_u_sign(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c6)).
fof(19, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_exponentu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,X2),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),X12),s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c7)).
fof(20, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_significandu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_fcps_cart(t_bool,X1)),X12),s(t_h4s_binaryu_u_ieees_float(X1,X2),X13)))))=s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_fcps_cart(t_bool,X1)),X12),s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X13))))),file('i/f/binary_ieee/zero__to__real_c0', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c8)).
fof(22, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/zero__to__real_c0', aHLu_FALSITY)).
fof(26, axiom,![X3]:![X7]:![X8]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X8),s(X3,X7)))=s(X3,X8),file('i/f/binary_ieee/zero__to__real_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(27, axiom,![X18]:![X3]:![X4]:![X5]:s(X3,happ(s(t_fun(X18,X3),h4s_combins_k(s(X3,X5))),s(X18,X4)))=s(X3,X5),file('i/f/binary_ieee/zero__to__real_c0', ah4s_combins_Ku_u_THM)).
fof(29, axiom,![X22]:(s(t_bool,X22)=s(t_bool,t)|s(t_bool,X22)=s(t_bool,f)),file('i/f/binary_ieee/zero__to__real_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
