# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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,h4s_nums_0))),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,X1)))))),file('i/f/binary_ieee/zero__lt__twopow', ch4s_binaryu_u_ieees_zerou_u_ltu_u_twopow)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/zero__lt__twopow', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/binary_ieee/zero__lt__twopow', aHLu_FALSITY)).
fof(7, axiom,![X9]:![X1]:(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,h4s_nums_0))),s(t_h4s_realaxs_real,X9))))=>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,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X9),s(t_h4s_nums_num,X1))))))),file('i/f/binary_ieee/zero__lt__twopow', ah4s_reals_REALu_u_POWu_u_LT)).
fof(9, axiom,![X1]:![X11]: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,X1))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X11))),file('i/f/binary_ieee/zero__lt__twopow', ah4s_reals_ltu_u_intu_c0)).
fof(10, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1))),file('i/f/binary_ieee/zero__lt__twopow', ah4s_numerals_numeralu_u_distribu_c21)).
fof(11, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/binary_ieee/zero__lt__twopow', ah4s_numerals_numeralu_u_ltu_c1)).
fof(12, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/binary_ieee/zero__lt__twopow', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
