# 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),X2),s(t_h4s_realaxs_real,X3))))&(?[X4]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X3))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X4)))))&?[X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X3))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3)))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X2))))))),file('i/f/real/REAL__IMP__LE__SUP', ch4s_reals_REALu_u_IMPu_u_LEu_u_SUP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__IMP__LE__SUP', aHLu_FALSITY)).
fof(28, axiom,![X4]:![X15]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X15))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X15),s(t_h4s_realaxs_real,X4)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X4))))),file('i/f/real/REAL__IMP__LE__SUP', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(29, axiom,![X9]:((?[X1]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X9),s(t_h4s_realaxs_real,X1))))&?[X4]:![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X9),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,X4))))))=>![X15]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X9),s(t_h4s_realaxs_real,X15))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X15),s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X9)))))))),file('i/f/real/REAL__IMP__LE__SUP', ah4s_reals_REALu_u_SUPu_u_UBOUNDu_u_LE)).
fof(30, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/real/REAL__IMP__LE__SUP', aHLu_BOOLu_CASES)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/real/REAL__IMP__LE__SUP', aHLu_TRUTH)).
fof(34, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/real/REAL__IMP__LE__SUP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
