# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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))))=>s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X2)))),file('i/f/real/REAL__LE__RDIV__EQ', ch4s_reals_REALu_u_LEu_u_RDIVu_u_EQ)).
fof(3, axiom,![X1]:![X2]:![X3]:((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,X3))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,X1)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_LEu_u_RDIV)).
fof(7, axiom,![X2]:![X3]:((p(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,h4s_nums_0))),s(t_h4s_realaxs_real,X3))))&p(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,h4s_nums_0))),s(t_h4s_realaxs_real,X2)))))=>p(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,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_LEu_u_DIV)).
fof(10, axiom,![X2]:![X3]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(11, axiom,![X2]:![X3]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(14, axiom,![X3]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X3)))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(16, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_MULu_u_SYM)).
fof(18, axiom,![X1]:![X2]:![X3]:(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,X3))))=>s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_LTu_u_LMUL)).
fof(25, axiom,![X3]: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,h4s_nums_0))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_MULu_u_LZERO)).
fof(28, axiom,![X2]:![X3]:(~(s(t_h4s_realaxs_real,X2)=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,X2),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X3)),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_DIVu_u_LMUL)).
fof(38, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(41, axiom,![X2]:![X3]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))=>~(s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,X2))),file('i/f/real/REAL__LE__RDIV__EQ', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
# SZS output end CNFRefutation
