# 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))))=>![X3]:s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),X2)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X2)))))))),file('i/f/pred_set/CARD__INSERT', ch4s_predu_u_sets_CARDu_u_INSERT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/CARD__INSERT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/CARD__INSERT', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/CARD__INSERT', aHLu_BOOLu_CASES)).
fof(5, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>![X3]:s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),X2)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X2)))))))),file('i/f/pred_set/CARD__INSERT', ah4s_predu_u_sets_CARDu_u_DEFu_c1)).
# SZS output end CNFRefutation
