# 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_normal(s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_u_zero(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value))))))),file('i/f/binary_ieee/zero__properties_c9', ch4s_binaryu_u_ieees_zerou_u_propertiesu_c9)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/zero__properties_c9', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/zero__properties_c9', aHLu_FALSITY)).
fof(9, axiom,![X1]:![X2]:![X5]:(p(s(t_bool,h4s_binaryu_u_ieees_floatu_u_isu_u_normal(s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))))<=>(~(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_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_wordu_u_t)))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_isu_u_normalu_u_def)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_binaryu_u_ieees_float(X1,X2),h4s_binaryu_u_ieees_floatu_u_minusu_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_negate(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))))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_minusu_u_zerou_u_def)).
fof(12, 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__properties_c9', ah4s_binaryu_u_ieees_floatu_u_plusu_u_zerou_u_def)).
fof(13, axiom,![X1]:![X2]:![X10]:![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),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)),X10),s(t_h4s_binaryu_u_ieees_float(X1,X2),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),X11))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c2)).
fof(15, axiom,![X1]:![X2]:![X10]:![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),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)),X10),s(t_h4s_binaryu_u_ieees_float(X1,X2),X11)))))=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)),X10),s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X11))))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c7)).
fof(16, axiom,![X1]:![X2]:![X12]:![X10]:![X11]: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)),X10),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),X11)))))=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_o(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),X10),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),X11))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_fupdfupdsu_c0)).
fof(17, axiom,![X1]:![X2]:![X5]: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),X5)))=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),X5))))))),s(t_h4s_binaryu_u_ieees_float(X1,X2),X5))),file('i/f/binary_ieee/zero__properties_c9', ah4s_binaryu_u_ieees_floatu_u_negateu_u_def)).
fof(18, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/binary_ieee/zero__properties_c9', aHLu_BOOLu_CASES)).
fof(21, axiom,![X13]:![X4]:![X14]:![X5]:s(X4,happ(s(t_fun(X13,X4),h4s_combins_k(s(X4,X5))),s(X13,X14)))=s(X4,X5),file('i/f/binary_ieee/zero__properties_c9', ah4s_combins_Ku_u_THM)).
fof(22, axiom,![X13]:![X4]:![X15]:![X16]:![X11]:s(t_fun(X4,X15),h4s_combins_o(s(t_fun(X13,X15),h4s_combins_k(s(X15,X16))),s(t_fun(X4,X13),X11)))=s(t_fun(X4,X15),h4s_combins_k(s(X15,X16))),file('i/f/binary_ieee/zero__properties_c9', ah4s_combins_Ku_u_ou_u_THMu_c0)).
# SZS output end CNFRefutation
