# 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,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))))),file('i/f/real/REAL__SUB__ABS', ch4s_reals_REALu_u_SUBu_u_ABS)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__SUB__ABS', aHLu_FALSITY)).
fof(5, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X2))))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))))))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_ABSu_u_CIRCLE)).
fof(27, axiom,![X2]:~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X2))))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_LTu_u_REFL)).
fof(35, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(50, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/real/REAL__SUB__ABS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(62, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,X2),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_SUBu_u_ADD2)).
fof(68, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(70, axiom,![X9]:![X1]:![X2]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X9)))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_LEu_u_SUBu_u_RADD)).
fof(79, axiom,![X9]:![X1]:![X2]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X9)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__SUB__ABS', ah4s_reals_REALu_u_LTu_u_SUBu_u_LADD)).
# SZS output end CNFRefutation
