# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_nums_num,X2),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_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_nums_num,X2),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/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ch4s_floats_DEFLOATu_u_FLOATu_u_ZEROSIGNu_u_ROUND)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', aHLu_BOOLu_CASES)).
fof(6, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X8]:![X9]:![X10]:?[X11]:((p(s(t_bool,X11))<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10),s(t_h4s_nums_num,X8),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X9)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_bools_cond(s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X9))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_bools_cond(s(t_bool,X11),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_plusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10))))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X9)))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_zerosign0)).
fof(12, axiom,![X1]:![X10]:p(s(t_bool,h4s_ieees_isu_u_valid(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10),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),X10),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X1)))))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_floats_ISu_u_VALIDu_u_ROUND)).
fof(13, axiom,![X12]:(p(s(t_bool,h4s_ieees_isu_u_valid(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)),X12))))<=>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)),X12)))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X12)),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_floatu_u_tybiju_c1)).
fof(15, axiom,![X10]:p(s(t_bool,h4s_ieees_isu_u_valid(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_plusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10)))))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_floats_ISu_u_VALIDu_u_SPECIALu_c4)).
fof(16, axiom,![X10]:p(s(t_bool,h4s_ieees_isu_u_valid(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10)))))),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_floats_ISu_u_VALIDu_u_SPECIALu_c5)).
fof(17, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X5),s(X6,X4)))=s(X6,X5),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(18, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X5),s(X6,X4)))=s(X6,X4),file('i/f/float/DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
