# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2)))))=>~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))))))),file('i/f/pred_set/infinite__rest', ch4s_predu_u_sets_infiniteu_u_rest)).
fof(25, axiom,![X1]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/infinite__rest', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
fof(27, axiom,![X1]:![X2]:(~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))))=s(t_fun(X1,t_bool),X2)),file('i/f/pred_set/infinite__rest', ah4s_predu_u_sets_CHOICEu_u_INSERTu_u_REST)).
fof(41, axiom,![X1]:![X4]:![X2]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),X2)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))),file('i/f/pred_set/infinite__rest', ah4s_predu_u_sets_FINITEu_u_INSERT)).
# SZS output end CNFRefutation
