# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/rich_list/EXISTS__TAKE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/EXISTS__TAKE', aHLu_FALSITY)).
fof(7, axiom,![X8]:![X9]:![X10]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X8),X10))))))=>s(t_h4s_lists_list(X8),h4s_lists_take(s(t_h4s_nums_num,X9),s(t_h4s_lists_list(X8),X10)))=s(t_h4s_lists_list(X8),h4s_richu_u_lists_seg(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_lists_list(X8),X10)))),file('i/f/rich_list/EXISTS__TAKE', ah4s_richu_u_lists_TAKEu_u_SEG)).
fof(8, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/rich_list/EXISTS__TAKE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(21, axiom,![X8]:![X12]:![X10]:![X16]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X8),X10))))))=>![X11]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X8,t_bool),X11),s(t_h4s_lists_list(X8),h4s_richu_u_lists_seg(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X16),s(t_h4s_lists_list(X8),X10))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X8,t_bool),X11),s(t_h4s_lists_list(X8),X10)))))),file('i/f/rich_list/EXISTS__TAKE', ah4s_richu_u_lists_EXISTSu_u_SEG)).
fof(35, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X12),file('i/f/rich_list/EXISTS__TAKE', ah4s_arithmetics_ADDu_u_0)).
fof(40, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/rich_list/EXISTS__TAKE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X8]:![X12]:![X10]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X8),X10))))))=>![X11]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X8,t_bool),X11),s(t_h4s_lists_list(X8),h4s_lists_take(s(t_h4s_nums_num,X12),s(t_h4s_lists_list(X8),X10))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X8,t_bool),X11),s(t_h4s_lists_list(X8),X10)))))),file('i/f/rich_list/EXISTS__TAKE', ch4s_richu_u_lists_EXISTSu_u_TAKE)).
# SZS output end CNFRefutation
