# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X4))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3)))))=>?[X3]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X1))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3)))))),file('i/f/real/SUP__LEMMA3', ch4s_reals_SUPu_u_LEMMA3)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/SUP__LEMMA3', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/SUP__LEMMA3', aHLu_FALSITY)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/real/SUP__LEMMA3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/real/SUP__LEMMA3', aHLu_BOOLu_CASES)).
fof(8, axiom,![X3]:![X10]:![X4]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X3)))))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,X4))),file('i/f/real/SUP__LEMMA3', ah4s_reals_REALu_u_LTu_u_ADDNEG)).
# SZS output end CNFRefutation
