# 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,X1),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,X2)))))),file('i/f/extreal/REAL__ARCH__POW', ch4s_extreals_REALu_u_ARCHu_u_POW)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/REAL__ARCH__POW', aHLu_FALSITY)).
fof(18, axiom,![X11]:![X12]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X11)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))),file('i/f/extreal/REAL__ARCH__POW', ah4s_reals_REALu_u_LETu_u_TRANS)).
fof(19, axiom,![X2]:p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,X2)))))),file('i/f/extreal/REAL__ARCH__POW', ah4s_reals_POWu_u_2u_u_LT)).
fof(20, axiom,![X1]:?[X2]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))),file('i/f/extreal/REAL__ARCH__POW', ah4s_extreals_SIMPu_u_REALu_u_ARCH)).
fof(21, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/extreal/REAL__ARCH__POW', aHLu_BOOLu_CASES)).
fof(22, axiom,p(s(t_bool,t)),file('i/f/extreal/REAL__ARCH__POW', aHLu_TRUTH)).
fof(24, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/extreal/REAL__ARCH__POW', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
