# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,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_u_2f(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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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)))))))))))),file('i/f/util_prob/HALF__POS', ch4s_utilu_u_probs_HALFu_u_POS)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/HALF__POS', aHLu_FALSITY)).
fof(32, axiom,![X12]: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_u_2f(s(t_h4s_realaxs_real,X12),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_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,X12))),file('i/f/util_prob/HALF__POS', ah4s_reals_REALu_u_LTu_u_HALF1)).
fof(33, axiom,![X11]:![X5]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X11))))<=>~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X5)))))),file('i/f/util_prob/HALF__POS', ah4s_reals_realu_u_lt)).
fof(39, axiom,![X13]:![X14]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X14))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X13)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))),file('i/f/util_prob/HALF__POS', ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
fof(42, axiom,![X13]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/util_prob/HALF__POS', ah4s_numerals_numeralu_u_distribu_c17)).
fof(44, axiom,![X13]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/util_prob/HALF__POS', ah4s_numerals_numeralu_u_equ_c1)).
fof(55, axiom,![X13]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/util_prob/HALF__POS', ah4s_arithmetics_LEu_c0)).
# SZS output end CNFRefutation
