# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_bool),t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_fun(t_h4s_realaxs_real,t_bool),X2))),s(t_h4s_realaxs_real,X3)))=s(t_bool,h4s_bools_in(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X3))),s(t_fun(t_h4s_realaxs_real,t_bool),X2)))=>![X2]:s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_bool),t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_fun(t_h4s_realaxs_real,t_bool),X2)))))))),file('i/f/util_prob/INF__DEF__ALT', ch4s_utilu_u_probs_INFu_u_DEFu_u_ALT)).
fof(12, axiom,![X1]:(![X2]:![X3]:s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_bool),t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_fun(t_h4s_realaxs_real,t_bool),X2))),s(t_h4s_realaxs_real,X3)))=s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X3)))))=>![X2]:s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_sup(s(t_fun(t_h4s_realaxs_real,t_bool),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_bool),t_fun(t_h4s_realaxs_real,t_bool)),X1),s(t_fun(t_h4s_realaxs_real,t_bool),X2)))))))),file('i/f/util_prob/INF__DEF__ALT', ah4s_reals_infu_u_def)).
fof(13, axiom,![X9]:![X8]:![X18]:s(t_bool,h4s_bools_in(s(X9,X8),s(t_fun(X9,t_bool),X18)))=s(t_bool,happ(s(t_fun(X9,t_bool),X18),s(X9,X8))),file('i/f/util_prob/INF__DEF__ALT', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
