# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(t_fun(X1,X2),t_bool),h4s_utilu_u_probs_funset(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X2,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(t_fun(X1,X2),t_bool),h4s_predu_u_sets_univ),file('i/f/util_prob/UNIV__FUNSET__UNIV', ch4s_utilu_u_probs_UNIVu_u_FUNSETu_u_UNIV)).
fof(27, axiom,![X1]:![X14]:(![X7]:p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X14))))<=>s(t_fun(X1,t_bool),X14)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(29, axiom,![X1]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(X1,X7)))=s(t_bool,t),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_predu_u_sets_UNIVu_u_DEF)).
fof(31, axiom,![X1]:![X2]:![X19]:![X16]:![X17]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,X2),X19),s(t_fun(t_fun(X1,X2),t_bool),h4s_utilu_u_probs_funset(s(t_fun(X1,t_bool),X17),s(t_fun(X2,t_bool),X16))))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X17))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X19),s(X1,X7))),s(t_fun(X2,t_bool),X16)))))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_utilu_u_probs_INu_u_FUNSET)).
fof(33, axiom,![X1]:![X7]:![X17]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X17)))=s(t_bool,happ(s(t_fun(X1,t_bool),X17),s(X1,X7))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_predu_u_sets_SPECIFICATION)).
fof(35, axiom,p(s(t_bool,t)),file('i/f/util_prob/UNIV__FUNSET__UNIV', aHLu_TRUTH)).
# SZS output end CNFRefutation
