# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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/SIMP__REAL__ARCH', ch4s_extreals_SIMPu_u_REALu_u_ARCH)).
fof(10, 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/extreal/SIMP__REAL__ARCH', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X10]:![X1]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X10)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X1))))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(21, axiom,![X10]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X10))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X10))))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
fof(23, axiom,![X2]:![X17]: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,X17))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X2))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_LE)).
fof(28, axiom,![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,X1))))=>![X10]:?[X2]:p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_realaxs_real,X1))))))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_ARCH)).
fof(30, axiom,![X2]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_numerals_numeralu_u_distribu_c17)).
fof(31, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),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,X1),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_MULu_u_RID)).
fof(33, axiom,![X2]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_numerals_numeralu_u_equ_c1)).
fof(34, axiom,![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_numerals_numeralu_u_lteu_c1)).
fof(36, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),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_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(37, axiom,![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_numerals_numeralu_u_distribu_c27)).
fof(38, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(39, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/extreal/SIMP__REAL__ARCH', ah4s_arithmetics_LESSu_u_EQu_u_0)).
# SZS output end CNFRefutation
