# 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(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/UNIV__FUNSET__UNIV', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,t)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(11, axiom,![X1]:![X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(13, axiom,![X1]:![X3]:![X15]:(s(t_fun(X1,t_bool),X15)=s(t_fun(X1,t_bool),X3)<=>![X4]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X15)))=s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_predu_u_sets_EXTENSION)).
fof(14, axiom,![X1]:![X2]:![X13]:![X16]:![X17]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,X2),X13),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))))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X17))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X13),s(X1,X4))),s(t_fun(X2,t_bool),X16)))))),file('i/f/util_prob/UNIV__FUNSET__UNIV', ah4s_utilu_u_probs_INu_u_FUNSET)).
fof(15, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/util_prob/UNIV__FUNSET__UNIV', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/UNIV__FUNSET__UNIV', aHLu_FALSITY)).
# SZS output end CNFRefutation
