# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&?[X3]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),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))))))=>![X4]:(?[X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X1)))))))),file('i/f/real/REAL__SUP__LE', ch4s_reals_REALu_u_SUPu_u_LE)).
fof(2, axiom,![X1]:((?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&?[X3]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),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))))))=>![X4]:(?[X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X1)))))))),file('i/f/real/REAL__SUP__LE', ah4s_reals_REALu_u_SUP)).
fof(3, axiom,![X1]:((?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&?[X3]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),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))))))<=>(?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))&?[X3]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),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__SUP__LE', ah4s_reals_SETOKu_u_LEu_u_LT)).
# SZS output end CNFRefutation
