# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_binaryu_u_ieees_floatu_u_isu_u_subnormal(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_min(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))),file('i/f/binary_ieee/min__properties_c5', ch4s_binaryu_u_ieees_minu_u_propertiesu_c5)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/min__properties_c5', aHLu_FALSITY)).
fof(21, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/binary_ieee/min__properties_c5', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(38, axiom,![X2]:![X1]:![X4]:(p(s(t_bool,h4s_binaryu_u_ieees_floatu_u_isu_u_subnormal(s(t_h4s_binaryu_u_ieees_float(X1,X2),X4))))<=>(s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X4)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))&~(s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X4)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_isu_u_subnormalu_u_def)).
fof(43, axiom,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_plusu_u_min(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_bools_arb))))))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_plusu_u_minu_u_def)).
fof(53, axiom,![X1]:![X2]:![X21]:![X19]: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)),X21),s(t_h4s_binaryu_u_ieees_float(X1,X2),X19)))))=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)),X21),s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X19))))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c7)).
fof(54, axiom,![X1]:![X2]:![X21]:![X19]: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)),X21),s(t_h4s_binaryu_u_ieees_float(X1,X2),X19)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X19))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c4)).
fof(55, axiom,![X1]:![X2]:![X21]:![X19]: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)),X21),s(t_h4s_binaryu_u_ieees_float(X1,X2),X19)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X19))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c5)).
fof(56, axiom,![X1]:![X2]:![X21]:![X19]: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)),X21),s(t_h4s_binaryu_u_ieees_float(X1,X2),X19)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X19))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c2)).
fof(72, axiom,![X8]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))=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,X8))),file('i/f/binary_ieee/min__properties_c5', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(73, axiom,![X3]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(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_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_t),file('i/f/binary_ieee/min__properties_c5', ah4s_wordss_WORDu_u_NEGu_u_1)).
fof(74, axiom,![X3]:~(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(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_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/binary_ieee/min__properties_c5', ah4s_wordss_wordu_u_Tu_u_notu_u_zero)).
fof(75, axiom,![X3]:![X23]:(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),X23)))=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_fcps_cart(t_bool,X3),X23)=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/binary_ieee/min__properties_c5', ah4s_wordss_WORDu_u_NEGu_u_EQu_u_0)).
fof(78, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X8),file('i/f/binary_ieee/min__properties_c5', ah4s_numerals_numeralu_u_distribu_c1)).
fof(81, axiom,![X1]:![X2]:![X21]:![X19]: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)),X21),s(t_h4s_binaryu_u_ieees_float(X1,X2),X19)))))=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)),X21),s(t_h4s_fcps_cart(t_bool,X1),h4s_binaryu_u_ieees_floatu_u_significand(s(t_h4s_binaryu_u_ieees_float(X1,X2),X19))))),file('i/f/binary_ieee/min__properties_c5', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c8)).
fof(92, axiom,![X17]:![X3]:![X16]:![X4]:s(X3,happ(s(t_fun(X17,X3),h4s_combins_k(s(X3,X4))),s(X17,X16)))=s(X3,X4),file('i/f/binary_ieee/min__properties_c5', ah4s_combins_Ku_u_THM)).
# SZS output end CNFRefutation
