# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_ieees_threshold(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format))))))&p(s(t_bool,h4s_ieees_finite(s(t_h4s_ieees_float,X2)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_floats_error(s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_ieees_val(s(t_h4s_ieees_float,X2))),s(t_h4s_realaxs_real,X1))))))))),file('i/f/float/ERROR__AT__WORST__LEMMA', ch4s_floats_ERRORu_u_ATu_u_WORSTu_u_LEMMA)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/float/ERROR__AT__WORST__LEMMA', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/float/ERROR__AT__WORST__LEMMA', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X2]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_ieees_threshold(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format))))))&p(s(t_bool,h4s_ieees_isu_u_finite(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X2)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X2))),s(t_h4s_realaxs_real,X1))))))))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_floats_BOUNDu_u_ATu_u_WORSTu_u_LEMMA)).
fof(8, axiom,![X1]:s(t_h4s_realaxs_real,h4s_floats_error(s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_ieees_val(s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X1))))))),s(t_h4s_realaxs_real,X1))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_floats_erroru_u_def)).
fof(9, axiom,![X2]:s(t_h4s_realaxs_real,h4s_ieees_val(s(t_h4s_ieees_float,X2)))=s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,X2))))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_ieees_Val0)).
fof(10, axiom,![X1]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X1)))))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X1))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_floats_DEFLOATu_u_FLOATu_u_ROUND)).
fof(11, axiom,![X2]:s(t_bool,h4s_ieees_finite(s(t_h4s_ieees_float,X2)))=s(t_bool,h4s_ieees_isu_u_finite(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,X2))))),file('i/f/float/ERROR__AT__WORST__LEMMA', ah4s_floats_ISFINITE)).
fof(12, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/float/ERROR__AT__WORST__LEMMA', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
