# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_floatu_u_value0(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_infinity(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_infinity),file('i/f/binary_ieee/float__values_c1', ch4s_binaryu_u_ieees_floatu_u_valuesu_c1)).
fof(6, axiom,![X1]:![X2]:![X8]:?[X10]:((p(s(t_bool,X10))<=>s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X8)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))&?[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),X8)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_t))&s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_floatu_u_value0(s(t_h4s_binaryu_u_ieees_float(X1,X2),X8)))=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_bools_cond(s(t_bool,X11),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_bools_cond(s(t_bool,X10),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_infinity),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan))),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_float(s(t_h4s_realaxs_real,h4s_binaryu_u_ieees_floatu_u_tou_u_real(s(t_h4s_binaryu_u_ieees_float(X1,X2),X8))))))))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_valueu_u_def)).
fof(7, axiom,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_infinity(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_negate(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_infinity(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value))))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_minusu_u_infinityu_u_def)).
fof(13, axiom,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_infinity(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_wordu_u_t))),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/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_plusu_u_infinityu_u_def)).
fof(14, axiom,![X1]:![X2]:![X14]:![X15]: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)),X14),s(t_h4s_binaryu_u_ieees_float(X1,X2),X15)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X15))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c2)).
fof(15, axiom,![X1]:![X2]:![X14]:![X15]: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)),X14),s(t_h4s_binaryu_u_ieees_float(X1,X2),X15)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X15))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c4)).
fof(16, axiom,![X1]:![X2]:![X14]:![X15]: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)),X14),s(t_h4s_binaryu_u_ieees_float(X1,X2),X15)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X15))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c5)).
fof(18, axiom,![X1]:![X2]:![X14]:![X15]: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)),X14),s(t_h4s_binaryu_u_ieees_float(X1,X2),X15)))))=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)),X14),s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X15))))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c7)).
fof(23, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/binary_ieee/float__values_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(24, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/float__values_c1', aHLu_FALSITY)).
fof(32, axiom,![X6]:![X3]:![X4]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X4),s(X6,X3)))=s(X6,X4),file('i/f/binary_ieee/float__values_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(33, axiom,![X6]:![X3]:![X4]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X4),s(X6,X3)))=s(X6,X3),file('i/f/binary_ieee/float__values_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(36, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/binary_ieee/float__values_c1', ah4s_numerals_numeralu_u_sub)).
fof(47, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X13),file('i/f/binary_ieee/float__values_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(48, axiom,![X12]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/binary_ieee/float__values_c1', ah4s_numerals_numeralu_u_distribu_c17)).
fof(49, axiom,![X12]:![X13]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),file('i/f/binary_ieee/float__values_c1', ah4s_numerals_numeralu_u_distribu_c22)).
fof(50, axiom,![X12]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/binary_ieee/float__values_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(51, axiom,![X1]:![X2]:![X14]:![X15]: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)),X14),s(t_h4s_binaryu_u_ieees_float(X1,X2),X15)))))=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)),X14),s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X15))))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c8)).
fof(52, axiom,![X1]:![X2]:![X8]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_negate(s(t_h4s_binaryu_u_ieees_float(X1,X2),X8)))=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_wordu_u_1comp(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),X8))))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),X8))),file('i/f/binary_ieee/float__values_c1', ah4s_binaryu_u_ieees_floatu_u_negateu_u_def)).
fof(60, axiom,![X26]:![X6]:![X7]:![X8]:s(X6,happ(s(t_fun(X26,X6),h4s_combins_k(s(X6,X8))),s(X26,X7)))=s(X6,X8),file('i/f/binary_ieee/float__values_c1', ah4s_combins_Ku_u_THM)).
fof(66, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/binary_ieee/float__values_c1', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
