# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__LE__LADD', ch4s_reals_REALu_u_LEu_u_LADD)).
fof(5, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/real/REAL__LE__LADD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, 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__LADD', ah4s_reals_realu_u_lte0)).
fof(22, 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,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__LADD', ah4s_reals_REALu_u_LEu_u_LT)).
fof(26, 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__LADD', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(27, 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__LADD', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(45, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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__LADD', ah4s_reals_REALu_u_LTu_u_LADD)).
fof(55, axiom,![X2]:![X3]:(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,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__LADD', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(58, 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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3)))))),file('i/f/real/REAL__LE__LADD', ah4s_reals_REALu_u_LTu_u_ANTISYM)).
# SZS output end CNFRefutation
