# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>![X4]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X3))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/EXISTS__TAKE', ch4s_richu_u_lists_EXISTSu_u_TAKE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/EXISTS__TAKE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/EXISTS__TAKE', aHLu_FALSITY)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/rich_list/EXISTS__TAKE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X1]:![X6]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_richu_u_lists_seg(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_lists_list(X1),X3)))),file('i/f/rich_list/EXISTS__TAKE', ah4s_richu_u_lists_TAKEu_u_SEG)).
fof(7, axiom,![X1]:![X2]:![X3]:![X7]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>![X4]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_richu_u_lists_seg(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),X3))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/EXISTS__TAKE', ah4s_richu_u_lists_EXISTSu_u_SEG)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/rich_list/EXISTS__TAKE', aHLu_BOOLu_CASES)).
fof(9, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X2),file('i/f/rich_list/EXISTS__TAKE', ah4s_arithmetics_ADDu_u_0)).
# SZS output end CNFRefutation
