# 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,h4s_lists_length(s(t_h4s_lists_list(X1),X3))),s(t_h4s_nums_num,X2))))=>![X4]:s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X4)))))=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))),s(t_h4s_lists_list(X1),X4)))))),file('i/f/rich_list/TAKE__APPEND2', ch4s_richu_u_lists_TAKEu_u_APPEND2)).
fof(14, axiom,![X2]:![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X2)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X15)))))),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(24, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(25, axiom,![X1]:![X2]:![X4]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))),s(t_h4s_nums_num,X2))))=>s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X4)))))=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))),s(t_h4s_lists_list(X1),X4)))))),file('i/f/rich_list/TAKE__APPEND2', ah4s_lists_TAKEu_u_APPEND2)).
fof(26, axiom,![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]:s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X4)))))=s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X3)))),file('i/f/rich_list/TAKE__APPEND2', ah4s_richu_u_lists_TAKEu_u_APPEND1)).
fof(34, axiom,![X1]:![X22]:s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X22),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_lists_list(X1),X22),file('i/f/rich_list/TAKE__APPEND2', ah4s_richu_u_lists_APPENDu_u_NILu_c0)).
fof(36, axiom,![X1]:![X2]:![X22]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X22))),s(t_h4s_nums_num,X2))))=>s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X22)))=s(t_h4s_lists_list(X1),X22)),file('i/f/rich_list/TAKE__APPEND2', ah4s_lists_TAKEu_u_LENGTHu_u_TOOu_u_LONG)).
fof(39, axiom,![X1]:![X22]:s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_lists_list(X1),X22)))=s(t_h4s_lists_list(X1),h4s_lists_nil),file('i/f/rich_list/TAKE__APPEND2', ah4s_richu_u_lists_TAKEu_c0)).
fof(48, axiom,![X2]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X15))),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(49, axiom,![X14]:![X2]:![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X14))))),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESSu_u_EQ)).
fof(63, axiom,![X2]:![X15]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X15))))),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_NOTu_u_LEQ)).
fof(65, 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/TAKE__APPEND2', ah4s_numerals_numeralu_u_distribu_c1)).
fof(83, axiom,![X2]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X2))),file('i/f/rich_list/TAKE__APPEND2', ah4s_arithmetics_LESSu_u_EQ)).
# SZS output end CNFRefutation
