# 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]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X4))))=>p(s(t_bool,h4s_reals_realu_u_lte(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__UBOUND__LE', ch4s_reals_REALu_u_SUPu_u_UBOUNDu_u_LE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__SUP__UBOUND__LE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__SUP__UBOUND__LE', aHLu_FALSITY)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/real/REAL__SUP__UBOUND__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, 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]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X4))))=>p(s(t_bool,h4s_reals_realu_u_lte(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__UBOUND__LE', ah4s_reals_REALu_u_SUPu_u_UBOUND)).
fof(7, 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__UBOUND__LE', ah4s_reals_SETOKu_u_LEu_u_LT)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/real/REAL__SUP__UBOUND__LE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
