# 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))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))),s(t_h4s_realaxs_real,X1)))))=>?[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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__INF__LT', ch4s_reals_REALu_u_INFu_u_LT)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__INF__LT', aHLu_FALSITY)).
fof(27, axiom,![X18]:![X3]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X18))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X18),s(t_h4s_realaxs_real,X3)))))),file('i/f/real/REAL__INF__LT', ah4s_reals_realu_u_lte0)).
fof(28, axiom,![X12]:![X2]:((?[X3]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X3))))&![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,X12),s(t_h4s_realaxs_real,X3))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))))))),file('i/f/real/REAL__INF__LT', ah4s_reals_REALu_u_IMPu_u_LEu_u_INF)).
fof(29, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/real/REAL__INF__LT', aHLu_BOOLu_CASES)).
fof(30, axiom,p(s(t_bool,t)),file('i/f/real/REAL__INF__LT', aHLu_TRUTH)).
fof(33, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/real/REAL__INF__LT', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
