# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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_plusu_u_infinity(s(t_h4s_bools_itself(t_h4s_pairs_prod(X1,X2)),h4s_bools_theu_u_value)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_wordu_u_t),file('i/f/binary_ieee/float__components_c1', ch4s_binaryu_u_ieees_floatu_u_componentsu_c1)).
fof(22, axiom,![X1]:![X2]:![X22]:![X23]: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_significandu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_fcps_cart(t_bool,X1)),X22),s(t_h4s_binaryu_u_ieees_float(X1,X2),X23)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X23))),file('i/f/binary_ieee/float__components_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c3)).
fof(23, axiom,![X1]:![X2]:![X22]:![X23]: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)),X22),s(t_h4s_binaryu_u_ieees_float(X1,X2),X23)))))=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)),X22),s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X23))))),file('i/f/binary_ieee/float__components_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c7)).
fof(25, axiom,![X1]:![X2]:![X22]:![X23]: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)),X22),s(t_h4s_binaryu_u_ieees_float(X1,X2),X23)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_binaryu_u_ieees_floatu_u_exponent(s(t_h4s_binaryu_u_ieees_float(X1,X2),X23))),file('i/f/binary_ieee/float__components_c1', ah4s_binaryu_u_ieees_floatu_u_accfupdsu_c2)).
fof(26, 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__components_c1', ah4s_binaryu_u_ieees_floatu_u_plusu_u_infinityu_u_def)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/float__components_c1', aHLu_TRUTH)).
fof(42, axiom,![X28]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X28)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/binary_ieee/float__components_c1', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(44, axiom,![X28]:![X29]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X28)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,X29))))),file('i/f/binary_ieee/float__components_c1', ah4s_arithmetics_NOTu_u_LESS)).
fof(56, axiom,![X28]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X28),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/binary_ieee/float__components_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(76, 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__components_c1', ah4s_combins_Ku_u_THM)).
fof(77, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/binary_ieee/float__components_c1', aHLu_BOOLu_CASES)).
fof(78, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/binary_ieee/float__components_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
