TSTP Solution File: LAT372+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT372+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:03:09 EDT 2022

% Result   : Unknown 3.25s 3.38s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT372+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 08:23:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.79/2.96  ----- Otter 3.3f, August 2004 -----
% 2.79/2.96  The process was started by sandbox2 on n013.cluster.edu,
% 2.79/2.96  Wed Jul 27 08:23:00 2022
% 2.79/2.96  The command was "./otter".  The process ID is 19814.
% 2.79/2.96  
% 2.79/2.96  set(prolog_style_variables).
% 2.79/2.96  set(auto).
% 2.79/2.96     dependent: set(auto1).
% 2.79/2.96     dependent: set(process_input).
% 2.79/2.96     dependent: clear(print_kept).
% 2.79/2.96     dependent: clear(print_new_demod).
% 2.79/2.96     dependent: clear(print_back_demod).
% 2.79/2.96     dependent: clear(print_back_sub).
% 2.79/2.96     dependent: set(control_memory).
% 2.79/2.96     dependent: assign(max_mem, 12000).
% 2.79/2.96     dependent: assign(pick_given_ratio, 4).
% 2.79/2.96     dependent: assign(stats_level, 1).
% 2.79/2.96     dependent: assign(max_seconds, 10800).
% 2.79/2.96  clear(print_given).
% 2.79/2.96  
% 2.79/2.96  formula_list(usable).
% 2.79/2.96  all A (A=A).
% 2.79/2.96  -(all A (-v3_struct_0(A)&l1_orders_2(A)-> (all B (-v3_struct_0(B)&v2_orders_2(B)&v4_orders_2(B)&v1_yellow_0(B)&l1_orders_2(B)->v18_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B))))).
% 2.79/2.96  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.79/2.96  all A (v1_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)))).
% 2.79/2.96  all A (v2_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.79/2.96  all A (v3_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.79/2.96  all A (v4_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.79/2.96  all A (v5_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v4_ordinal2(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.79/2.96  all A (v1_xboole_0(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.79/2.96  all A (v1_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)))).
% 2.79/2.96  all A (v2_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)))).
% 2.79/2.96  all A (v3_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.79/2.96  all A (v4_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.79/2.96  all A (v1_xboole_0(A)->v1_finset_1(A)).
% 2.79/2.96  all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.79/2.96  all A (v5_membered(A)->v4_membered(A)).
% 2.79/2.96  all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.79/2.96  all A (-v1_xboole_0(A)&v1_setfam_1(A)-> (all B (m1_subset_1(B,A)-> -v1_xboole_0(B)))).
% 2.79/2.96  all A B (-v3_struct_0(A)&v2_orders_2(A)&v4_orders_2(A)&l1_orders_2(A)& -v3_struct_0(B)&v2_orders_2(B)&v4_orders_2(B)&l1_orders_2(B)-> (all C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))-> (v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v22_waybel_0(C,A,B)-> -v1_xboole_0(C)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v5_orders_3(C,A,B)&v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)))))).
% 2.79/2.96  all A (v5_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)))).
% 2.79/2.96  all A (v1_finset_1(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_finset_1(B)))).
% 2.79/2.96  all A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)->v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.79/2.96  all A (v4_membered(A)->v3_membered(A)).
% 2.79/2.96  all A (v3_membered(A)->v2_membered(A)).
% 2.79/2.96  all A (v2_membered(A)->v1_membered(A)).
% 2.79/2.96  all A B (-v3_struct_0(A)&l1_orders_2(A)& -v3_struct_0(B)&l1_orders_2(B)-> (all C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))-> (v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v18_waybel_0(C,A,B)->v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v20_waybel_0(C,A,B)&v22_waybel_0(C,A,B))))).
% 2.79/2.96  all A (l1_orders_2(A)->k3_yellow_0(A)=k1_yellow_0(A,k1_xboole_0)).
% 2.79/2.96  all A (-v3_struct_0(A)&l1_orders_2(A)-> (all B (-v3_struct_0(B)&l1_orders_2(B)-> (all C (v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))-> (r4_waybel_0(A,B,C,D)<-> (r1_yellow_0(A,D)->r1_yellow_0(B,k4_pre_topc(A,B,C,D))&k1_yellow_0(B,k4_pre_topc(A,B,C,D))=k1_waybel_0(A,B,C,k1_yellow_0(A,D))))))))))).
% 2.79/2.96  all A (-v3_struct_0(A)&l1_orders_2(A)-> (all B (-v3_struct_0(B)&l1_orders_2(B)-> (all C (v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))-> (v18_waybel_0(C,A,B)<-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))->r4_waybel_0(A,B,C,D))))))))).
% 2.79/2.97  all A (l1_struct_0(A)-> (all B (-v3_struct_0(B)&l1_struct_0(B)-> (all C (m1_subset_1(C,u1_struct_0(B))->k3_borsuk_1(A,B,C)=k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C)))))).
% 2.79/2.97  all A B C (-v1_xboole_0(A)&m1_subset_1(C,A)->v1_funct_1(k1_borsuk_1(A,B,C))&v1_funct_2(k1_borsuk_1(A,B,C),B,A)&m2_relset_1(k1_borsuk_1(A,B,C),B,A)).
% 2.79/2.97  $T.
% 2.79/2.97  all A B (-v3_struct_0(A)&l1_struct_0(A)&m1_subset_1(B,u1_struct_0(A))->m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A)))).
% 2.79/2.97  $T.
% 2.79/2.97  all A B C D (-v3_struct_0(A)&l1_struct_0(A)& -v3_struct_0(B)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))&m1_subset_1(D,u1_struct_0(A))->m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B))).
% 2.79/2.97  $T.
% 2.79/2.97  all A B (l1_orders_2(A)->m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A))).
% 2.79/2.97  $T.
% 2.79/2.97  $T.
% 2.79/2.97  all A B (l1_orders_2(A)->m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A))).
% 2.79/2.97  $T.
% 2.79/2.97  all A B C (l1_struct_0(A)& -v3_struct_0(B)&l1_struct_0(B)&m1_subset_1(C,u1_struct_0(B))->v1_funct_1(k3_borsuk_1(A,B,C))&v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B))&m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B))).
% 2.79/2.97  all A (l1_orders_2(A)->m1_subset_1(k3_yellow_0(A),u1_struct_0(A))).
% 2.79/2.97  all A B C D (l1_struct_0(A)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))->m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))).
% 2.79/2.97  all A B C D (-v1_xboole_0(A)& -v3_struct_0(B)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,A,u1_struct_0(B))&m1_relset_1(C,A,u1_struct_0(B))&m1_subset_1(D,A)->m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B))).
% 2.79/2.97  $T.
% 2.79/2.97  all A (l1_orders_2(A)->l1_struct_0(A)).
% 2.79/2.97  $T.
% 2.79/2.97  $T.
% 2.79/2.97  $T.
% 2.79/2.97  all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.79/2.97  $T.
% 2.79/2.97  exists A l1_orders_2(A).
% 2.79/2.97  exists A l1_struct_0(A).
% 2.79/2.97  all A B exists C m1_relset_1(C,A,B).
% 2.79/2.97  all A exists B m1_subset_1(B,A).
% 2.79/2.97  all A B exists C m2_relset_1(C,A,B).
% 2.79/2.97  all A (v1_int_1(A)->v1_membered(k1_tarski(A))&v2_membered(k1_tarski(A))&v3_membered(k1_tarski(A))&v4_membered(k1_tarski(A))).
% 2.79/2.97  all A (v4_ordinal2(A)->v1_membered(k1_tarski(A))&v2_membered(k1_tarski(A))&v3_membered(k1_tarski(A))&v4_membered(k1_tarski(A))&v5_membered(k1_tarski(A))).
% 2.79/2.97  all A B (v1_relat_1(A)&v1_funct_1(A)&v1_finset_1(B)->v1_finset_1(k9_relat_1(A,B))).
% 2.79/2.97  all A B (v1_finset_1(A)&v1_finset_1(B)->v1_finset_1(k2_zfmisc_1(A,B))).
% 2.79/2.97  all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))).
% 2.79/2.97  all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.79/2.97  all A B (-v3_struct_0(B)&l1_orders_2(B)->v1_relat_1(k2_funcop_1(A,B))&v1_funct_1(k2_funcop_1(A,B))&v1_yellow_1(k2_funcop_1(A,B))&v4_waybel_3(k2_funcop_1(A,B))&v2_pralg_1(k2_funcop_1(A,B))).
% 2.79/2.97  all A B (v2_orders_2(B)&l1_orders_2(B)->v1_relat_1(k2_funcop_1(A,B))&v1_funct_1(k2_funcop_1(A,B))&v5_waybel_3(k2_funcop_1(A,B))).
% 2.79/2.97  all A B C D (-v1_xboole_0(A)& -v1_xboole_0(B)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)& -v1_xboole_0(D)&m1_subset_1(D,k1_zfmisc_1(A))-> -v1_xboole_0(k9_relat_1(C,D))).
% 2.79/2.97  all A (-v1_xboole_0(A)-> -v1_xboole_0(k1_tarski(A))&v1_setfam_1(k1_tarski(A))).
% 2.79/2.97  v1_xboole_0(k1_xboole_0).
% 2.79/2.97  v1_membered(k1_xboole_0).
% 2.79/2.97  v2_membered(k1_xboole_0).
% 2.79/2.97  v3_membered(k1_xboole_0).
% 2.79/2.97  v4_membered(k1_xboole_0).
% 2.79/2.97  v5_membered(k1_xboole_0).
% 2.79/2.97  all A (v1_xcmplx_0(A)->v1_membered(k1_tarski(A))).
% 2.79/2.97  all A (v1_xreal_0(A)->v1_membered(k1_tarski(A))&v2_membered(k1_tarski(A))).
% 2.79/2.97  all A (v1_rat_1(A)->v1_membered(k1_tarski(A))&v2_membered(k1_tarski(A))&v3_membered(k1_tarski(A))).
% 2.79/2.97  exists A (-v1_xboole_0(A)&v1_finset_1(A)).
% 2.79/2.97  exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.79/2.97  exists A (-v1_xboole_0(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.79/2.97  exists A (-v1_xboole_0(A)&v1_setfam_1(A)).
% 2.79/2.97  all A B (l1_orders_2(A)& -v3_struct_0(B)&v2_orders_2(B)&l1_orders_2(B)-> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))&v1_relat_1(C)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))&v5_orders_3(C,A,B)))).
% 2.79/2.97  exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.79/2.97  all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.79/2.97  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.79/2.97  exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.79/2.97  all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.79/2.97  all A B (-v3_struct_0(A)&l1_orders_2(A)& -v3_struct_0(B)&v2_orders_2(B)&v4_orders_2(B)&v1_yellow_0(B)&l1_orders_2(B)-> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))&v1_relat_1(C)&v1_funct_1(C)& -v1_xboole_0(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&v18_waybel_0(C,A,B)&v20_waybel_0(C,A,B)&v22_waybel_0(C,A,B)&v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))))).
% 2.79/2.97  all A (-v3_struct_0(A)&l1_struct_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)))).
% 2.79/2.97  all A B C (-v1_xboole_0(A)&m1_subset_1(C,A)->k1_borsuk_1(A,B,C)=k2_funcop_1(B,C)).
% 2.79/2.97  all A B (-v3_struct_0(A)&l1_struct_0(A)&m1_subset_1(B,u1_struct_0(A))->k1_struct_0(A,B)=k1_tarski(B)).
% 2.79/2.97  all A B C D (-v3_struct_0(A)&l1_struct_0(A)& -v3_struct_0(B)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))&m1_subset_1(D,u1_struct_0(A))->k1_waybel_0(A,B,C,D)=k1_funct_1(C,D)).
% 2.79/2.97  all A B C D (l1_struct_0(A)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))&m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))->k4_pre_topc(A,B,C,D)=k9_relat_1(C,D)).
% 2.79/2.97  all A B C D (-v1_xboole_0(A)& -v3_struct_0(B)&l1_struct_0(B)&v1_funct_1(C)&v1_funct_2(C,A,u1_struct_0(B))&m1_relset_1(C,A,u1_struct_0(B))&m1_subset_1(D,A)->k7_yellow_2(A,B,C,D)=k1_funct_1(C,D)).
% 2.79/2.97  all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.79/2.97  all A B r1_tarski(A,A).
% 2.79/2.97  all A B C (r2_hidden(B,A)->k1_funct_1(k2_funcop_1(A,C),B)=C).
% 2.79/2.97  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.79/2.97  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.79/2.97  all A (-v3_struct_0(A)&v2_orders_2(A)&v4_orders_2(A)&l1_orders_2(A)-> (all B (m1_subset_1(B,u1_struct_0(A))->r1_yellow_0(A,k1_struct_0(A,B))&r2_yellow_0(A,k1_struct_0(A,B))))).
% 2.79/2.97  all A (-v3_struct_0(A)&v2_orders_2(A)&v4_orders_2(A)&l1_orders_2(A)-> (all B (m1_subset_1(B,u1_struct_0(A))->k1_yellow_0(A,k1_struct_0(A,B))=B&k2_yellow_0(A,k1_struct_0(A,B))=B))).
% 2.79/2.97  all A B (r1_tarski(A,k1_tarski(B))<->A=k1_xboole_0|A=k1_tarski(B)).
% 2.79/2.97  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.79/2.97  all A (-v3_struct_0(A)&v4_orders_2(A)&v1_yellow_0(A)&l1_orders_2(A)->r1_yellow_0(A,k1_xboole_0)&r2_yellow_0(A,u1_struct_0(A))).
% 2.79/2.97  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.79/2.97  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.79/2.97  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.79/2.97  all A B C r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B)).
% 2.79/2.97  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.79/2.97  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.79/2.97  end_of_list.
% 2.79/2.97  
% 2.79/2.97  -------> usable clausifies to:
% 2.79/2.97  
% 2.79/2.97  list(usable).
% 2.79/2.97  0 [] A=A.
% 2.79/2.97  0 [] -v3_struct_0($c2).
% 2.79/2.97  0 [] l1_orders_2($c2).
% 2.79/2.97  0 [] -v3_struct_0($c1).
% 2.79/2.97  0 [] v2_orders_2($c1).
% 2.79/2.97  0 [] v4_orders_2($c1).
% 2.79/2.97  0 [] v1_yellow_0($c1).
% 2.79/2.97  0 [] l1_orders_2($c1).
% 2.79/2.97  0 [] -v18_waybel_0(k3_borsuk_1($c2,$c1,k3_yellow_0($c1)),$c2,$c1).
% 2.79/2.97  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.79/2.97  0 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v1_membered(A).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v2_membered(A).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v3_membered(A).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v4_membered(A).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v5_membered(A).
% 2.79/2.97  0 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.79/2.97  0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.79/2.97  0 [] -v5_membered(A)|v4_membered(A).
% 2.79/2.97  0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.79/2.97  0 [] v1_xboole_0(A)| -v1_setfam_1(A)| -m1_subset_1(B,A)| -v1_xboole_0(B).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)| -v1_xboole_0(C).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)|v5_orders_3(C,A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)|v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.79/2.97  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.79/2.97  0 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.79/2.97  0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.79/2.97  0 [] -v4_membered(A)|v3_membered(A).
% 2.79/2.97  0 [] -v3_membered(A)|v2_membered(A).
% 2.79/2.97  0 [] -v2_membered(A)|v1_membered(A).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)|v20_waybel_0(C,A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)|v22_waybel_0(C,A,B).
% 2.79/2.97  0 [] -l1_orders_2(A)|k3_yellow_0(A)=k1_yellow_0(A,k1_xboole_0).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))| -r4_waybel_0(A,B,C,D)| -r1_yellow_0(A,D)|r1_yellow_0(B,k4_pre_topc(A,B,C,D)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))| -r4_waybel_0(A,B,C,D)| -r1_yellow_0(A,D)|k1_yellow_0(B,k4_pre_topc(A,B,C,D))=k1_waybel_0(A,B,C,k1_yellow_0(A,D)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D)|r1_yellow_0(A,D).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D)| -r1_yellow_0(B,k4_pre_topc(A,B,C,D))|k1_yellow_0(B,k4_pre_topc(A,B,C,D))!=k1_waybel_0(A,B,C,k1_yellow_0(A,D)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))|v18_waybel_0(C,A,B)|m1_subset_1($f1(A,B,C),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))|v18_waybel_0(C,A,B)| -r4_waybel_0(A,B,C,$f1(A,B,C)).
% 2.79/2.97  0 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|k3_borsuk_1(A,B,C)=k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C).
% 2.79/2.97  0 [] v1_xboole_0(A)| -m1_subset_1(C,A)|v1_funct_1(k1_borsuk_1(A,B,C)).
% 2.79/2.97  0 [] v1_xboole_0(A)| -m1_subset_1(C,A)|v1_funct_2(k1_borsuk_1(A,B,C),B,A).
% 2.79/2.97  0 [] v1_xboole_0(A)| -m1_subset_1(C,A)|m2_relset_1(k1_borsuk_1(A,B,C),B,A).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,u1_struct_0(A))|m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B)).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] -l1_orders_2(A)|m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] -l1_orders_2(A)|m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|v1_funct_1(k3_borsuk_1(A,B,C)).
% 2.79/2.97  0 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|m1_subset_1(k3_yellow_0(A),u1_struct_0(A)).
% 2.79/2.97  0 [] -l1_struct_0(A)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))|m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))).
% 2.79/2.97  0 [] v1_xboole_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,u1_struct_0(B))| -m1_relset_1(C,A,u1_struct_0(B))| -m1_subset_1(D,A)|m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] -l1_orders_2(A)|l1_struct_0(A).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.79/2.97  0 [] $T.
% 2.79/2.97  0 [] l1_orders_2($c3).
% 2.79/2.97  0 [] l1_struct_0($c4).
% 2.79/2.97  0 [] m1_relset_1($f2(A,B),A,B).
% 2.79/2.97  0 [] m1_subset_1($f3(A),A).
% 2.79/2.97  0 [] m2_relset_1($f4(A,B),A,B).
% 2.79/2.97  0 [] -v1_int_1(A)|v1_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_int_1(A)|v2_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_int_1(A)|v3_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_int_1(A)|v4_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v4_ordinal2(A)|v1_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v4_ordinal2(A)|v2_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v4_ordinal2(A)|v3_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v4_ordinal2(A)|v4_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v4_ordinal2(A)|v5_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_finset_1(B)|v1_finset_1(k9_relat_1(A,B)).
% 2.79/2.97  0 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_zfmisc_1(A,B)).
% 2.79/2.97  0 [] -v1_xboole_0(k1_tarski(A)).
% 2.79/2.97  0 [] v1_finset_1(k1_tarski(A)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.79/2.97  0 [] v3_struct_0(B)| -l1_orders_2(B)|v1_relat_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] v3_struct_0(B)| -l1_orders_2(B)|v1_funct_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] v3_struct_0(B)| -l1_orders_2(B)|v1_yellow_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] v3_struct_0(B)| -l1_orders_2(B)|v4_waybel_3(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] v3_struct_0(B)| -l1_orders_2(B)|v2_pralg_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] -v2_orders_2(B)| -l1_orders_2(B)|v1_relat_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] -v2_orders_2(B)| -l1_orders_2(B)|v1_funct_1(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] -v2_orders_2(B)| -l1_orders_2(B)|v5_waybel_3(k2_funcop_1(A,B)).
% 2.79/2.97  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(A))| -v1_xboole_0(k9_relat_1(C,D)).
% 2.79/2.97  0 [] v1_xboole_0(A)| -v1_xboole_0(k1_tarski(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)|v1_setfam_1(k1_tarski(A)).
% 2.79/2.97  0 [] v1_xboole_0(k1_xboole_0).
% 2.79/2.97  0 [] v1_membered(k1_xboole_0).
% 2.79/2.97  0 [] v2_membered(k1_xboole_0).
% 2.79/2.97  0 [] v3_membered(k1_xboole_0).
% 2.79/2.97  0 [] v4_membered(k1_xboole_0).
% 2.79/2.97  0 [] v5_membered(k1_xboole_0).
% 2.79/2.97  0 [] -v1_xcmplx_0(A)|v1_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_xreal_0(A)|v1_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_xreal_0(A)|v2_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_rat_1(A)|v1_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_rat_1(A)|v2_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_rat_1(A)|v3_membered(k1_tarski(A)).
% 2.79/2.97  0 [] -v1_xboole_0($c5).
% 2.79/2.97  0 [] v1_finset_1($c5).
% 2.79/2.97  0 [] v1_relat_1($c6).
% 2.79/2.97  0 [] v1_funct_1($c6).
% 2.79/2.97  0 [] -v1_xboole_0($c7).
% 2.79/2.97  0 [] v1_membered($c7).
% 2.79/2.97  0 [] v2_membered($c7).
% 2.79/2.97  0 [] v3_membered($c7).
% 2.79/2.97  0 [] v4_membered($c7).
% 2.79/2.97  0 [] v5_membered($c7).
% 2.79/2.97  0 [] -v1_xboole_0($c8).
% 2.79/2.97  0 [] v1_setfam_1($c8).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|m1_relset_1($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_relat_1($f5(A,B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_funct_1($f5(A,B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_funct_2($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_partfun1($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v5_orders_3($f5(A,B),A,B).
% 2.79/2.97  0 [] v1_relat_1($c9).
% 2.79/2.97  0 [] v1_xboole_0($c9).
% 2.79/2.97  0 [] v1_funct_1($c9).
% 2.79/2.97  0 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)|v1_finset_1($f6(A)).
% 2.79/2.97  0 [] v1_relat_1($c10).
% 2.79/2.97  0 [] v1_funct_1($c10).
% 2.79/2.97  0 [] v2_funct_1($c10).
% 2.79/2.97  0 [] l1_struct_0($c11).
% 2.79/2.97  0 [] -v3_struct_0($c11).
% 2.79/2.97  0 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)|v1_finset_1($f7(A)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|m1_relset_1($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_relat_1($f8(A,B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_funct_1($f8(A,B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)| -v1_xboole_0($f8(A,B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_funct_2($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v18_waybel_0($f8(A,B),A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v20_waybel_0($f8(A,B),A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v22_waybel_0($f8(A,B),A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_partfun1($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.79/2.97  0 [] v1_xboole_0(A)| -m1_subset_1(C,A)|k1_borsuk_1(A,B,C)=k2_funcop_1(B,C).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)| -m1_subset_1(B,u1_struct_0(A))|k1_struct_0(A,B)=k1_tarski(B).
% 2.79/2.97  0 [] v3_struct_0(A)| -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,u1_struct_0(A))|k1_waybel_0(A,B,C,D)=k1_funct_1(C,D).
% 2.79/2.97  0 [] -l1_struct_0(A)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))|k4_pre_topc(A,B,C,D)=k9_relat_1(C,D).
% 2.79/2.97  0 [] v1_xboole_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,u1_struct_0(B))| -m1_relset_1(C,A,u1_struct_0(B))| -m1_subset_1(D,A)|k7_yellow_2(A,B,C,D)=k1_funct_1(C,D).
% 2.79/2.97  0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.79/2.97  0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.79/2.97  0 [] r1_tarski(A,A).
% 2.79/2.97  0 [] -r2_hidden(B,A)|k1_funct_1(k2_funcop_1(A,C),B)=C.
% 2.79/2.97  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.79/2.97  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|r1_yellow_0(A,k1_struct_0(A,B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|r2_yellow_0(A,k1_struct_0(A,B)).
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|k1_yellow_0(A,k1_struct_0(A,B))=B.
% 2.79/2.97  0 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|k2_yellow_0(A,k1_struct_0(A,B))=B.
% 2.79/2.97  0 [] -r1_tarski(A,k1_tarski(B))|A=k1_xboole_0|A=k1_tarski(B).
% 2.79/2.97  0 [] r1_tarski(A,k1_tarski(B))|A!=k1_xboole_0.
% 2.79/2.97  0 [] r1_tarski(A,k1_tarski(B))|A!=k1_tarski(B).
% 2.79/2.97  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.79/2.97  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.79/2.97  0 [] v3_struct_0(A)| -v4_orders_2(A)| -v1_yellow_0(A)| -l1_orders_2(A)|r1_yellow_0(A,k1_xboole_0).
% 2.79/2.97  0 [] v3_struct_0(A)| -v4_orders_2(A)| -v1_yellow_0(A)| -l1_orders_2(A)|r2_yellow_0(A,u1_struct_0(A)).
% 2.79/2.97  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.79/2.97  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.79/2.97  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.79/2.97  0 [] r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B)).
% 2.79/2.97  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.79/2.97  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.79/2.97  end_of_list.
% 2.79/2.97  
% 2.79/2.97  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=13.
% 2.79/2.97  
% 2.79/2.97  This ia a non-Horn set with equality.  The strategy will be
% 2.79/2.97  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.79/2.97  deletion, with positive clauses in sos and nonpositive
% 2.79/2.97  clauses in usable.
% 2.79/2.97  
% 2.79/2.97     dependent: set(knuth_bendix).
% 2.79/2.97     dependent: set(anl_eq).
% 2.79/2.97     dependent: set(para_from).
% 2.79/2.97     dependent: set(para_into).
% 2.79/2.97     dependent: clear(para_from_right).
% 2.79/2.97     dependent: clear(para_into_right).
% 2.79/2.97     dependent: set(para_from_vars).
% 2.79/2.97     dependent: set(eq_units_both_ways).
% 2.79/2.97     dependent: set(dynamic_demod_all).
% 2.79/2.97     dependent: set(dynamic_demod).
% 2.79/2.97     dependent: set(order_eq).
% 2.79/2.97     dependent: set(back_demod).
% 2.79/2.97     dependent: set(lrpo).
% 2.79/2.97     dependent: set(hyper_res).
% 2.79/2.97     dependent: set(unit_deletion).
% 2.79/2.97     dependent: set(factor).
% 2.79/2.97  
% 2.79/2.97  ------------> process usable:
% 2.79/2.97  ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c2).
% 2.79/2.97  ** KEPT (pick-wt=2): 2 [] -v3_struct_0($c1).
% 2.79/2.97  ** KEPT (pick-wt=8): 3 [] -v18_waybel_0(k3_borsuk_1($c2,$c1,k3_yellow_0($c1)),$c2,$c1).
% 2.79/2.97  ** KEPT (pick-wt=6): 4 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.79/2.97  ** KEPT (pick-wt=7): 5 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 6 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 7 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 8 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 9 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 10 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 12 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 13 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 14 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 17 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 18 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.79/2.97  ** KEPT (pick-wt=7): 19 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.79/2.97  ** KEPT (pick-wt=4): 20 [] -v1_xboole_0(A)|v1_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 21 [] -v1_xboole_0(A)|v2_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 22 [] -v1_xboole_0(A)|v3_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 23 [] -v1_xboole_0(A)|v4_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 24 [] -v1_xboole_0(A)|v5_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=8): 25 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 26 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 27 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 28 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 29 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 30 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 32 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 33 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 34 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=4): 35 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 36 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 37 [] -v5_membered(A)|v4_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=8): 38 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.79/2.97  ** KEPT (pick-wt=9): 39 [] v1_xboole_0(A)| -v1_setfam_1(A)| -m1_subset_1(B,A)| -v1_xboole_0(B).
% 2.79/2.97  ** KEPT (pick-wt=36): 40 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)| -v1_xboole_0(C).
% 2.79/2.97  ** KEPT (pick-wt=38): 41 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)|v5_orders_3(C,A,B).
% 2.79/2.97  ** KEPT (pick-wt=40): 42 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v22_waybel_0(C,A,B)|v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  ** KEPT (pick-wt=8): 43 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 44 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 45 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 46 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 47 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 48 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.79/2.97  ** KEPT (pick-wt=8): 49 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 50 [] -v4_membered(A)|v3_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 51 [] -v3_membered(A)|v2_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=4): 52 [] -v2_membered(A)|v1_membered(A).
% 2.79/2.97  ** KEPT (pick-wt=30): 53 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)|v20_waybel_0(C,A,B).
% 2.79/2.97  ** KEPT (pick-wt=30): 54 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)|v22_waybel_0(C,A,B).
% 2.79/2.97  ** KEPT (pick-wt=8): 55 [] -l1_orders_2(A)|k3_yellow_0(A)=k1_yellow_0(A,k1_xboole_0).
% 2.79/2.97  ** KEPT (pick-wt=42): 56 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))| -r4_waybel_0(A,B,C,D)| -r1_yellow_0(A,D)|r1_yellow_0(B,k4_pre_topc(A,B,C,D)).
% 2.79/2.97  ** KEPT (pick-wt=50): 57 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))| -r4_waybel_0(A,B,C,D)| -r1_yellow_0(A,D)|k1_yellow_0(B,k4_pre_topc(A,B,C,D))=k1_waybel_0(A,B,C,k1_yellow_0(A,D)).
% 2.79/2.97  ** KEPT (pick-wt=35): 58 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D)|r1_yellow_0(A,D).
% 2.79/2.97  ** KEPT (pick-wt=54): 59 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D)| -r1_yellow_0(B,k4_pre_topc(A,B,C,D))|k1_yellow_0(B,k4_pre_topc(A,B,C,D))!=k1_waybel_0(A,B,C,k1_yellow_0(A,D)).
% 2.79/2.97  ** KEPT (pick-wt=36): 60 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -v18_waybel_0(C,A,B)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|r4_waybel_0(A,B,C,D).
% 2.79/2.97  ** KEPT (pick-wt=34): 61 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))|v18_waybel_0(C,A,B)|m1_subset_1($f1(A,B,C),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.97  ** KEPT (pick-wt=34): 62 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -l1_orders_2(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))|v18_waybel_0(C,A,B)| -r4_waybel_0(A,B,C,$f1(A,B,C)).
% 2.79/2.97  ** KEPT (pick-wt=21): 63 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|k3_borsuk_1(A,B,C)=k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C).
% 2.79/2.97  ** KEPT (pick-wt=10): 64 [] v1_xboole_0(A)| -m1_subset_1(B,A)|v1_funct_1(k1_borsuk_1(A,C,B)).
% 2.79/2.97  ** KEPT (pick-wt=12): 65 [] v1_xboole_0(A)| -m1_subset_1(B,A)|v1_funct_2(k1_borsuk_1(A,C,B),C,A).
% 2.79/2.97  ** KEPT (pick-wt=12): 66 [] v1_xboole_0(A)| -m1_subset_1(B,A)|m2_relset_1(k1_borsuk_1(A,C,B),C,A).
% 2.79/2.97  ** KEPT (pick-wt=15): 67 [] v3_struct_0(A)| -l1_struct_0(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.97  ** KEPT (pick-wt=34): 68 [] v3_struct_0(A)| -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,u1_struct_0(A))|m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B)).
% 2.79/2.97  ** KEPT (pick-wt=8): 69 [] -l1_orders_2(A)|m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)).
% 2.79/2.97  ** KEPT (pick-wt=8): 70 [] -l1_orders_2(A)|m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)).
% 2.79/2.97  ** KEPT (pick-wt=15): 71 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|v1_funct_1(k3_borsuk_1(A,B,C)).
% 2.79/2.97  ** KEPT (pick-wt=19): 72 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  ** KEPT (pick-wt=19): 73 [] -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -m1_subset_1(C,u1_struct_0(B))|m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.97  ** KEPT (pick-wt=7): 74 [] -l1_orders_2(A)|m1_subset_1(k3_yellow_0(A),u1_struct_0(A)).
% 2.79/2.97  ** KEPT (pick-wt=27): 75 [] -l1_struct_0(A)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))|m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))).
% 2.79/2.97  ** KEPT (pick-wt=29): 76 [] v1_xboole_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,u1_struct_0(B))| -m1_relset_1(C,A,u1_struct_0(B))| -m1_subset_1(D,A)|m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=4): 77 [] -l1_orders_2(A)|l1_struct_0(A).
% 2.79/2.98  ** KEPT (pick-wt=10): 78 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.79/2.98  ** KEPT (pick-wt=5): 79 [] -v1_int_1(A)|v1_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 80 [] -v1_int_1(A)|v2_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 81 [] -v1_int_1(A)|v3_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 82 [] -v1_int_1(A)|v4_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 83 [] -v4_ordinal2(A)|v1_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 84 [] -v4_ordinal2(A)|v2_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 85 [] -v4_ordinal2(A)|v3_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 86 [] -v4_ordinal2(A)|v4_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 87 [] -v4_ordinal2(A)|v5_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=10): 88 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_finset_1(B)|v1_finset_1(k9_relat_1(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=8): 89 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_zfmisc_1(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=3): 90 [] -v1_xboole_0(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=7): 91 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 92 [] v3_struct_0(A)| -l1_orders_2(A)|v1_relat_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 93 [] v3_struct_0(A)| -l1_orders_2(A)|v1_funct_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 94 [] v3_struct_0(A)| -l1_orders_2(A)|v1_yellow_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 95 [] v3_struct_0(A)| -l1_orders_2(A)|v4_waybel_3(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 96 [] v3_struct_0(A)| -l1_orders_2(A)|v2_pralg_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 97 [] -v2_orders_2(A)| -l1_orders_2(A)|v1_relat_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 98 [] -v2_orders_2(A)| -l1_orders_2(A)|v1_funct_1(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=8): 99 [] -v2_orders_2(A)| -l1_orders_2(A)|v5_waybel_3(k2_funcop_1(B,A)).
% 2.79/2.98  ** KEPT (pick-wt=24): 100 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(A))| -v1_xboole_0(k9_relat_1(C,D)).
% 2.79/2.98    Following clause subsumed by 90 during input processing: 0 [] v1_xboole_0(A)| -v1_xboole_0(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 101 [] -v1_xcmplx_0(A)|v1_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 102 [] -v1_xreal_0(A)|v1_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 103 [] -v1_xreal_0(A)|v2_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 104 [] -v1_rat_1(A)|v1_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 105 [] -v1_rat_1(A)|v2_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=5): 106 [] -v1_rat_1(A)|v3_membered(k1_tarski(A)).
% 2.79/2.98  ** KEPT (pick-wt=2): 107 [] -v1_xboole_0($c5).
% 2.79/2.98  ** KEPT (pick-wt=2): 108 [] -v1_xboole_0($c7).
% 2.79/2.98  ** KEPT (pick-wt=2): 109 [] -v1_xboole_0($c8).
% 2.79/2.98  ** KEPT (pick-wt=16): 110 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|m1_relset_1($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=12): 111 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_relat_1($f5(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=12): 112 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_funct_1($f5(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=16): 113 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_funct_2($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=16): 114 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v1_partfun1($f5(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=14): 115 [] -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -l1_orders_2(B)|v5_orders_3($f5(A,B),A,B).
% 2.79/2.98  ** KEPT (pick-wt=5): 116 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 2.79/2.98  ** KEPT (pick-wt=2): 117 [] -v3_struct_0($c11).
% 2.79/2.98  ** KEPT (pick-wt=5): 118 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.79/2.98  ** KEPT (pick-wt=22): 119 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|m1_relset_1($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=18): 120 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_relat_1($f8(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=18): 121 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_funct_1($f8(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=18): 122 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)| -v1_xboole_0($f8(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=22): 123 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_funct_2($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=20): 124 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v18_waybel_0($f8(A,B),A,B).
% 2.79/2.98  ** KEPT (pick-wt=20): 125 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v20_waybel_0($f8(A,B),A,B).
% 2.79/2.98  ** KEPT (pick-wt=20): 126 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v22_waybel_0($f8(A,B),A,B).
% 2.79/2.98  ** KEPT (pick-wt=22): 127 [] v3_struct_0(A)| -l1_orders_2(A)|v3_struct_0(B)| -v2_orders_2(B)| -v4_orders_2(B)| -v1_yellow_0(B)| -l1_orders_2(B)|v1_partfun1($f8(A,B),u1_struct_0(A),u1_struct_0(B)).
% 2.79/2.98  ** KEPT (pick-wt=10): 128 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.79/2.98  ** KEPT (pick-wt=7): 129 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.79/2.98  ** KEPT (pick-wt=13): 130 [] v1_xboole_0(A)| -m1_subset_1(B,A)|k1_borsuk_1(A,C,B)=k2_funcop_1(C,B).
% 2.79/2.98  ** KEPT (pick-wt=14): 131 [] v3_struct_0(A)| -l1_struct_0(A)| -m1_subset_1(B,u1_struct_0(A))|k1_struct_0(A,B)=k1_tarski(B).
% 2.79/2.98  ** KEPT (pick-wt=35): 132 [] v3_struct_0(A)| -l1_struct_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))| -m1_subset_1(D,u1_struct_0(A))|k1_waybel_0(A,B,C,D)=k1_funct_1(C,D).
% 2.79/2.98  ** KEPT (pick-wt=27): 133 [] -l1_struct_0(A)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))| -m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))|k4_pre_topc(A,B,C,D)=k9_relat_1(C,D).
% 2.79/2.98  ** KEPT (pick-wt=30): 134 [] v1_xboole_0(A)|v3_struct_0(B)| -l1_struct_0(B)| -v1_funct_1(C)| -v1_funct_2(C,A,u1_struct_0(B))| -m1_relset_1(C,A,u1_struct_0(B))| -m1_subset_1(D,A)|k7_yellow_2(A,B,C,D)=k1_funct_1(C,D).
% 2.79/2.98  ** KEPT (pick-wt=8): 135 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.79/2.98  ** KEPT (pick-wt=8): 136 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.79/2.98  ** KEPT (pick-wt=10): 137 [] -r2_hidden(A,B)|k1_funct_1(k2_funcop_1(B,C),A)=C.
% 2.79/2.98  ** KEPT (pick-wt=6): 138 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.79/2.98  ** KEPT (pick-wt=8): 139 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.79/2.98  ** KEPT (pick-wt=17): 140 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|r1_yellow_0(A,k1_struct_0(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=17): 141 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|r2_yellow_0(A,k1_struct_0(A,B)).
% 2.79/2.98  ** KEPT (pick-wt=19): 142 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|k1_yellow_0(A,k1_struct_0(A,B))=B.
% 2.79/2.98  ** KEPT (pick-wt=19): 143 [] v3_struct_0(A)| -v2_orders_2(A)| -v4_orders_2(A)| -l1_orders_2(A)| -m1_subset_1(B,u1_struct_0(A))|k2_yellow_0(A,k1_struct_0(A,B))=B.
% 2.79/2.98  ** KEPT (pick-wt=11): 144 [] -r1_tarski(A,k1_tarski(B))|A=k1_xboole_0|A=k1_tarski(B).
% 2.79/2.98  ** KEPT (pick-wt=7): 145 [] r1_tarski(A,k1_tarski(B))|A!=k1_xboole_0.
% 2.79/2.98  ** KEPT (pick-wt=8): 146 [] r1_tarski(A,k1_tarski(B))|A!=k1_tarski(B).
% 2.79/2.98  ** KEPT (pick-wt=7): 147 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.79/2.98  ** KEPT (pick-wt=7): 148 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.79/2.98  ** KEPT (pick-wt=11): 149 [] v3_struct_0(A)| -v4_orders_2(A)| -v1_yellow_0(A)| -l1_orders_2(A)|r1_yellow_0(A,k1_xboole_0).
% 2.79/2.98  ** KEPT (pick-wt=12): 150 [] v3_struct_0(A)| -v4_orders_2(A)| -v1_yellow_0(A)| -l1_orders_2(A)|r2_yellow_0(A,u1_struct_0(A)).
% 2.79/2.98  ** KEPT (pick-wt=10): 151 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 3.25/3.38  ** KEPT (pick-wt=9): 152 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 3.25/3.38  ** KEPT (pick-wt=5): 153 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 3.25/3.38  ** KEPT (pick-wt=5): 154 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 3.25/3.38  ** KEPT (pick-wt=7): 155 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 3.25/3.38  
% 3.25/3.38  ------------> process sos:
% 3.25/3.38  ** KEPT (pick-wt=3): 198 [] A=A.
% 3.25/3.38  ** KEPT (pick-wt=2): 199 [] l1_orders_2($c2).
% 3.25/3.38  ** KEPT (pick-wt=2): 200 [] v2_orders_2($c1).
% 3.25/3.38  ** KEPT (pick-wt=2): 201 [] v4_orders_2($c1).
% 3.25/3.38  ** KEPT (pick-wt=2): 202 [] v1_yellow_0($c1).
% 3.25/3.38  ** KEPT (pick-wt=2): 203 [] l1_orders_2($c1).
% 3.25/3.38  ** KEPT (pick-wt=2): 204 [] l1_orders_2($c3).
% 3.25/3.38  ** KEPT (pick-wt=2): 205 [] l1_struct_0($c4).
% 3.25/3.38  ** KEPT (pick-wt=6): 206 [] m1_relset_1($f2(A,B),A,B).
% 3.25/3.38  ** KEPT (pick-wt=4): 207 [] m1_subset_1($f3(A),A).
% 3.25/3.38  ** KEPT (pick-wt=6): 208 [] m2_relset_1($f4(A,B),A,B).
% 3.25/3.38  ** KEPT (pick-wt=3): 209 [] v1_finset_1(k1_tarski(A)).
% 3.25/3.38  ** KEPT (pick-wt=5): 210 [] v1_xboole_0(A)|v1_setfam_1(k1_tarski(A)).
% 3.25/3.38  ** KEPT (pick-wt=2): 211 [] v1_xboole_0(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 212 [] v1_membered(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 213 [] v2_membered(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 214 [] v3_membered(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 215 [] v4_membered(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 216 [] v5_membered(k1_xboole_0).
% 3.25/3.38  ** KEPT (pick-wt=2): 217 [] v1_finset_1($c5).
% 3.25/3.38  ** KEPT (pick-wt=2): 218 [] v1_relat_1($c6).
% 3.25/3.38  ** KEPT (pick-wt=2): 219 [] v1_funct_1($c6).
% 3.25/3.38  ** KEPT (pick-wt=2): 220 [] v1_membered($c7).
% 3.25/3.38  ** KEPT (pick-wt=2): 221 [] v2_membered($c7).
% 3.25/3.38  ** KEPT (pick-wt=2): 222 [] v3_membered($c7).
% 3.25/3.38  ** KEPT (pick-wt=2): 223 [] v4_membered($c7).
% 3.25/3.38  ** KEPT (pick-wt=2): 224 [] v5_membered($c7).
% 3.25/3.38  ** KEPT (pick-wt=2): 225 [] v1_setfam_1($c8).
% 3.25/3.38  ** KEPT (pick-wt=2): 226 [] v1_relat_1($c9).
% 3.25/3.38  ** KEPT (pick-wt=2): 227 [] v1_xboole_0($c9).
% 3.25/3.38  ** KEPT (pick-wt=2): 228 [] v1_funct_1($c9).
% 3.25/3.38  ** KEPT (pick-wt=7): 229 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 3.25/3.38  ** KEPT (pick-wt=5): 230 [] v1_xboole_0(A)|v1_finset_1($f6(A)).
% 3.25/3.38  ** KEPT (pick-wt=2): 231 [] v1_relat_1($c10).
% 3.25/3.38  ** KEPT (pick-wt=2): 232 [] v1_funct_1($c10).
% 3.25/3.38  ** KEPT (pick-wt=2): 233 [] v2_funct_1($c10).
% 3.25/3.38  ** KEPT (pick-wt=2): 234 [] l1_struct_0($c11).
% 3.25/3.38  ** KEPT (pick-wt=7): 235 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 3.25/3.38  ** KEPT (pick-wt=5): 236 [] v1_xboole_0(A)|v1_finset_1($f7(A)).
% 3.25/3.38  ** KEPT (pick-wt=3): 237 [] r1_tarski(A,A).
% 3.25/3.38  ** KEPT (pick-wt=8): 238 [] r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B)).
% 3.25/3.38    Following clause subsumed by 198 during input processing: 0 [copy,198,flip.1] A=A.
% 3.25/3.38  198 back subsumes 196.
% 3.25/3.38  
% 3.25/3.38  ======= end of input processing =======
% 3.25/3.38  
% 3.25/3.38  =========== start of search ===========
% 3.25/3.38  
% 3.25/3.38  
% 3.25/3.38  Resetting weight limit to 3.
% 3.25/3.38  
% 3.25/3.38  
% 3.25/3.38  Resetting weight limit to 3.
% 3.25/3.38  
% 3.25/3.38  sos_size=369
% 3.25/3.38  
% 3.25/3.38  Search stopped because sos empty.
% 3.25/3.38  
% 3.25/3.38  
% 3.25/3.38  Search stopped because sos empty.
% 3.25/3.38  
% 3.25/3.38  ============ end of search ============
% 3.25/3.38  
% 3.25/3.38  -------------- statistics -------------
% 3.25/3.38  clauses given                420
% 3.25/3.38  clauses generated          36631
% 3.25/3.38  clauses kept                 701
% 3.25/3.38  clauses forward subsumed     328
% 3.25/3.38  clauses back subsumed          5
% 3.25/3.38  Kbytes malloced             5859
% 3.25/3.38  
% 3.25/3.38  ----------- times (seconds) -----------
% 3.25/3.38  user CPU time          0.42          (0 hr, 0 min, 0 sec)
% 3.25/3.38  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.25/3.38  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.25/3.38  
% 3.25/3.38  Process 19814 finished Wed Jul 27 08:23:03 2022
% 3.25/3.38  Otter interrupted
% 3.25/3.38  PROOF NOT FOUND
%------------------------------------------------------------------------------