# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),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_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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__DIV__INNER__CANCEL2', ch4s_reals_REALu_u_DIVu_u_INNERu_u_CANCEL2)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__DIV__INNER__CANCEL2', aHLu_FALSITY)).
fof(15, axiom,![X1]:![X2]:![X7]:(~(s(t_h4s_realaxs_real,X7)=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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X7))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))),file('i/f/real/REAL__DIV__INNER__CANCEL2', ah4s_reals_REALu_u_DIVu_u_INNERu_u_CANCEL)).
fof(16, axiom,![X11]:![X12]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X12)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X11)))<=>s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,X11)),file('i/f/real/REAL__DIV__INNER__CANCEL2', ah4s_reals_REALu_u_INJ)).
fof(17, axiom,![X11]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/real/REAL__DIV__INNER__CANCEL2', ah4s_numerals_numeralu_u_distribu_c27)).
fof(18, axiom,![X11]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/real/REAL__DIV__INNER__CANCEL2', ah4s_numerals_numeralu_u_lteu_c2)).
fof(19, axiom,![X11]:![X12]:(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,X11)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X12)))))),file('i/f/real/REAL__DIV__INNER__CANCEL2', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
