# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))))=s(X1,X2),file('i/f/pred_set/CHOICE__SING', ch4s_predu_u_sets_CHOICEu_u_SING)).
fof(7, axiom,![X1]:![X4]:(~(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))=>p(s(t_bool,h4s_bools_in(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X4))),s(t_fun(X1,t_bool),X4))))),file('i/f/pred_set/CHOICE__SING', ah4s_predu_u_sets_CHOICEu_u_DEF)).
fof(8, axiom,![X1]:![X5]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))<=>s(X1,X2)=s(X1,X5)),file('i/f/pred_set/CHOICE__SING', ah4s_predu_u_sets_INu_u_SING)).
fof(9, axiom,![X1]:![X2]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/CHOICE__SING', ah4s_predu_u_sets_NOTu_u_SINGu_u_EMPTY)).
# SZS output end CNFRefutation
