# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,X1),X3),s(t_fun(t_h4s_nums_num,t_bool),X2)))))),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', ch4s_utilu_u_probs_COUNTABLEu_u_IMAGEu_u_NUM)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', aHLu_FALSITY)).
fof(18, axiom,![X12]:![X1]:![X2]:![X3]:(p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(X12,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X12),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', ah4s_utilu_u_probs_COUNTABLEu_u_IMAGE)).
fof(19, axiom,![X2]:p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(t_h4s_nums_num,t_bool),X2)))),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', ah4s_utilu_u_probs_COUNTABLEu_u_NUM)).
fof(22, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', aHLu_BOOLu_CASES)).
fof(23, axiom,p(s(t_bool,t)),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', aHLu_TRUTH)).
fof(25, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/util_prob/COUNTABLE__IMAGE__NUM', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
