# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/util_prob/INF__GREATER', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/INF__GREATER', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/util_prob/INF__GREATER', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:((?[X6]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X8),s(t_h4s_realaxs_real,X6))))&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),X8))),s(t_h4s_realaxs_real,X7)))))=>?[X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X8),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7)))))),file('i/f/util_prob/INF__GREATER', ah4s_reals_REALu_u_INFu_u_LT)).
fof(11, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/util_prob/INF__GREATER', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(28, axiom,![X11]:![X18]:(~(?[X6]:p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X6)))))<=>![X6]:~(p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X6)))))),file('i/f/util_prob/INF__GREATER', ah4s_bools_NOTu_u_EXISTSu_u_THM)).
fof(42, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/util_prob/INF__GREATER', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(45, axiom,![X11]:![X6]:![X18]:s(t_bool,h4s_bools_in(s(X11,X6),s(t_fun(X11,t_bool),X18)))=s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X6))),file('i/f/util_prob/INF__GREATER', ah4s_predu_u_sets_SPECIFICATION)).
fof(82, axiom,![X11]:![X6]:![X18]:(p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,X6))))=>p(s(t_bool,happ(s(t_fun(X11,t_bool),X18),s(X11,h4s_mins_u_40(s(t_fun(X11,t_bool),X18))))))),file('i/f/util_prob/INF__GREATER', ah4s_bools_SELECTu_u_AX)).
fof(133, conjecture,![X7]:![X8]:((?[X6]:p(s(t_bool,h4s_bools_in(s(t_h4s_realaxs_real,X6),s(t_fun(t_h4s_realaxs_real,t_bool),X8))))&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),X8))),s(t_h4s_realaxs_real,X7)))))=>?[X6]:(p(s(t_bool,h4s_bools_in(s(t_h4s_realaxs_real,X6),s(t_fun(t_h4s_realaxs_real,t_bool),X8))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7)))))),file('i/f/util_prob/INF__GREATER', ch4s_utilu_u_probs_INFu_u_GREATER)).
# SZS output end CNFRefutation
