# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))=>![X3]:p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/FINITE__BAG__INSERT', ch4s_bags_FINITEu_u_BAGu_u_INSERT)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/FINITE__BAG__INSERT', aHLu_FALSITY)).
fof(31, axiom,![X1]:![X2]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))<=>![X8]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_nums_num),t_bool),X8),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))&![X22]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_nums_num),t_bool),X8),s(t_fun(X1,t_h4s_nums_num),X22))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_nums_num),t_bool),X8),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X22))))))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_nums_num),t_bool),X8),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/FINITE__BAG__INSERT', ah4s_bags_FINITEu_u_BAG0)).
fof(32, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/FINITE__BAG__INSERT', aHLu_BOOLu_CASES)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/bag/FINITE__BAG__INSERT', aHLu_TRUTH)).
fof(36, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/bag/FINITE__BAG__INSERT', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
