# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X3))))<=>s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,X2))=>![X2]:s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X2)),file('i/f/real/REAL__SUP__CONST', ch4s_reals_REALu_u_SUPu_u_CONST)).
fof(8, axiom,![X7]:![X8]:((p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X8),s(t_h4s_realaxs_real,X7))))&![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X8),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,X7))))))=>s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X8)))=s(t_h4s_realaxs_real,X7)),file('i/f/real/REAL__SUP__CONST', ah4s_reals_REALu_u_SUPu_u_MAX)).
fof(50, axiom,![X5]:![X2]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X2))))),file('i/f/real/REAL__SUP__CONST', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(55, axiom,![X5]:![X2]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5))))<=>(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5))))&~(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X5)))),file('i/f/real/REAL__SUP__CONST', ah4s_reals_REALu_u_LTu_u_LE)).
# SZS output end CNFRefutation
