# 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))))&![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,X1))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X2))),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__IMP__SUP__LE', ch4s_reals_REALu_u_IMPu_u_SUPu_u_LE)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/real/REAL__IMP__SUP__LE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X12]:((?[X1]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X12),s(t_h4s_realaxs_real,X1))))&?[X13]:![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X12),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,X13))))))=>![X11]:(?[X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X12),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X1)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),X12)))))))),file('i/f/real/REAL__IMP__SUP__LE', ah4s_reals_REALu_u_SUPu_u_LE)).
fof(20, axiom,![X11]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__IMP__SUP__LE', ah4s_reals_realu_u_lte0)).
# SZS output end CNFRefutation
