TSTP Solution File: GRP625+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP625+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n025.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 12:57:25 EDT 2022

% Result   : Unknown 3.18s 3.32s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP625+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 05:10:00 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.43/2.61  ----- Otter 3.3f, August 2004 -----
% 2.43/2.61  The process was started by sandbox2 on n025.cluster.edu,
% 2.43/2.61  Wed Jul 27 05:10:00 2022
% 2.43/2.61  The command was "./otter".  The process ID is 6522.
% 2.43/2.61  
% 2.43/2.61  set(prolog_style_variables).
% 2.43/2.61  set(auto).
% 2.43/2.61     dependent: set(auto1).
% 2.43/2.61     dependent: set(process_input).
% 2.43/2.61     dependent: clear(print_kept).
% 2.43/2.61     dependent: clear(print_new_demod).
% 2.43/2.61     dependent: clear(print_back_demod).
% 2.43/2.61     dependent: clear(print_back_sub).
% 2.43/2.61     dependent: set(control_memory).
% 2.43/2.61     dependent: assign(max_mem, 12000).
% 2.43/2.61     dependent: assign(pick_given_ratio, 4).
% 2.43/2.61     dependent: assign(stats_level, 1).
% 2.43/2.61     dependent: assign(max_seconds, 10800).
% 2.43/2.61  clear(print_given).
% 2.43/2.61  
% 2.43/2.61  formula_list(usable).
% 2.43/2.61  all A (A=A).
% 2.43/2.61  -(all A (-v3_struct_0(A)&v1_group_1(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->m2_fraenkel(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))).
% 2.43/2.61  all A (l1_group_1(A)-> (v1_group_1(A)->A=g1_group_1(u1_struct_0(A),u1_group_1(A)))).
% 2.43/2.61  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.43/2.61  all A (v1_fraenkel(A)-> (all B (m1_subset_1(B,A)->v1_relat_1(B)&v1_funct_1(B)))).
% 2.43/2.61  all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.43/2.61  all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_partfun1(C,A,B)->v1_funct_1(C)&v1_funct_2(C,A,B))).
% 2.43/2.61  all A (l1_group_1(A)-> (-v3_struct_0(A)&v3_group_1(A)-> -v3_struct_0(A)&v2_group_1(A))).
% 2.43/2.61  all A (v1_relat_1(A)&v3_relat_2(A)&v8_relat_2(A)->v1_relat_1(A)&v1_relat_2(A)).
% 2.43/2.61  all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.43/2.61  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)).
% 2.43/2.61  all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)&v3_funct_2(C,A,B)->v1_funct_1(C)&v2_funct_1(C)&v1_funct_2(C,A,B)&v2_funct_2(C,A,B))).
% 2.43/2.61  all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v2_funct_1(C)&v1_funct_2(C,A,B)&v2_funct_2(C,A,B)->v1_funct_1(C)&v1_funct_2(C,A,B)&v3_funct_2(C,A,B))).
% 2.43/2.61  all A B (m1_relset_1(B,A,A)-> (v1_funct_1(B)&v1_partfun1(B,A,A)&v1_relat_2(B)&v1_funct_2(B,A,A)->v1_funct_1(B)&v2_funct_1(B)&v1_funct_2(B,A,A)&v2_funct_2(B,A,A)&v3_funct_2(B,A,A))).
% 2.43/2.61  all A B (-v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.43/2.61  all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)& -v1_xboole_0(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.43/2.61  all A B (k2_tarski(A,B)=k2_tarski(B,A)).
% 2.43/2.61  all A (v1_relat_1(A)&v1_funct_1(A)-> (all B C (k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C))))).
% 2.43/2.61  all A (-v3_struct_0(A)&l1_group_1(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))->k1_group_1(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C)))))).
% 2.43/2.61  all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))->k2_group_3(A,B,C)=k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C)))))).
% 2.43/2.61  all A (-v3_struct_0(A)&v1_group_1(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)-> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))-> (B=k4_autgroup(A)<-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))-> (r2_hidden(C,B)<-> (exists D (m1_subset_1(D,u1_struct_0(A))& (all E (m1_subset_1(E,u1_struct_0(A))->k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E)=k2_group_3(A,E,D)))))))))))).
% 2.43/2.61  all A (-v3_struct_0(A)&l1_group_1(A)-> (v2_group_1(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (B=k2_group_1(A)<-> (all C (m1_subset_1(C,u1_struct_0(A))->k1_group_1(A,C,B)=C&k1_group_1(A,B,C)=C))))))).
% 2.43/2.61  all A B (k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A))).
% 2.43/2.61  all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)->v1_group_1(g1_group_1(A,B))&l1_group_1(g1_group_1(A,B))).
% 2.43/2.61  $T.
% 2.43/2.61  all A B (-v1_xboole_0(B)->m1_fraenkel(k1_fraenkel(A,B),A,B)).
% 2.43/2.61  $T.
% 2.43/2.61  $T.
% 2.43/2.61  all A B C (-v3_struct_0(A)&l1_group_1(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A))).
% 2.43/2.61  $T.
% 2.43/2.61  $T.
% 2.43/2.61  $T.
% 2.43/2.61  all A B C D E F (-v1_xboole_0(A)& -v1_xboole_0(B)&v1_funct_1(D)&v1_funct_2(D,k2_zfmisc_1(A,B),C)&m1_relset_1(D,k2_zfmisc_1(A,B),C)&m1_subset_1(E,A)&m1_subset_1(F,B)->m1_subset_1(k2_binop_1(A,B,C,D,E,F),C)).
% 2.43/2.61  all A (-v3_struct_0(A)&l1_group_1(A)->m1_subset_1(k2_group_1(A),u1_struct_0(A))).
% 2.43/2.61  all A B C (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A))).
% 2.43/2.61  $T.
% 2.43/2.61  $T.
% 2.43/2.61  all A B (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)&m1_subset_1(B,u1_struct_0(A))->m1_subset_1(k3_group_1(A,B),u1_struct_0(A))).
% 2.43/2.61  all A (-v3_struct_0(A)&v1_group_1(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A))).
% 2.43/2.61  $T.
% 2.43/2.61  all A (v1_partfun1(k6_partfun1(A),A,A)&m2_relset_1(k6_partfun1(A),A,A)).
% 2.43/2.61  all A v1_relat_1(k6_relat_1(A)).
% 2.43/2.61  all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->m1_subset_1(k8_funct_2(A,B,C,D),B)).
% 2.43/2.61  all A (l1_group_1(A)->l1_struct_0(A)).
% 2.43/2.61  $T.
% 2.43/2.61  all A B C (m1_fraenkel(C,A,B)-> -v1_xboole_0(C)&v1_fraenkel(C)).
% 2.43/2.61  $T.
% 2.43/2.61  $T.
% 2.43/2.61  all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)->v1_funct_1(D)&v1_funct_2(D,A,B)&m2_relset_1(D,A,B)))).
% 2.43/2.61  all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.43/2.61  all A (l1_group_1(A)->v1_funct_1(u1_group_1(A))&v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.43/2.61  $T.
% 2.43/2.61  exists A l1_group_1(A).
% 2.43/2.61  exists A l1_struct_0(A).
% 2.43/2.61  all A B exists C m1_fraenkel(C,A,B).
% 2.43/2.61  all A B exists C m1_relset_1(C,A,B).
% 2.43/2.61  all A exists B m1_subset_1(B,A).
% 2.43/2.61  all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (exists D m2_fraenkel(D,A,B,C))).
% 2.43/2.61  all A B exists C m2_relset_1(C,A,B).
% 2.43/2.61  all A B v1_fraenkel(k1_funct_2(A,B)).
% 2.43/2.61  all A B (-v1_xboole_0(B)-> -v1_xboole_0(k1_funct_2(A,B))).
% 2.43/2.61  all A B (-v1_xboole_0(A)&v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)-> -v3_struct_0(g1_group_1(A,B))&v1_group_1(g1_group_1(A,B))).
% 2.43/2.61  all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.43/2.61  v1_xboole_0(k1_xboole_0).
% 2.43/2.61  all A (v1_relat_1(k6_relat_1(A))&v1_funct_1(k6_relat_1(A))).
% 2.43/2.61  all A (-v1_xboole_0(k1_funct_2(A,A))).
% 2.43/2.61  all A (v1_relat_1(k6_relat_1(A))&v1_funct_1(k6_relat_1(A))&v1_relat_2(k6_relat_1(A))&v3_relat_2(k6_relat_1(A))&v4_relat_2(k6_relat_1(A))&v8_relat_2(k6_relat_1(A))).
% 2.43/2.61  all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)-> (all C D (g1_group_1(A,B)=g1_group_1(C,D)->A=C&B=D))).
% 2.43/2.61  exists A (-v1_xboole_0(A)&v1_fraenkel(A)).
% 2.43/2.61  exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.43/2.61  all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)&v1_funct_2(C,A,B)).
% 2.43/2.61  exists A (l1_group_1(A)&v1_group_1(A)).
% 2.43/2.61  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)&v1_xboole_0(A)).
% 2.43/2.61  exists A v1_xboole_0(A).
% 2.43/2.61  exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.43/2.61  all A exists B (m1_relset_1(B,A,A)&v1_relat_1(B)&v1_funct_1(B)&v2_funct_1(B)&v1_funct_2(B,A,A)&v2_funct_2(B,A,A)&v3_funct_2(B,A,A)).
% 2.43/2.61  exists A (l1_group_1(A)& -v3_struct_0(A)&v1_group_1(A)).
% 2.43/2.61  all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 2.43/2.61  exists A (-v1_xboole_0(A)).
% 2.43/2.61  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.43/2.61  exists A (l1_group_1(A)& -v3_struct_0(A)&v1_group_1(A)&v2_group_1(A)&v3_group_1(A)&v4_group_1(A)).
% 2.43/2.61  all A exists B (m1_relset_1(B,A,A)&v1_relat_1(B)&v1_relat_2(B)&v3_relat_2(B)&v4_relat_2(B)&v8_relat_2(B)&v1_partfun1(B,A,A)).
% 2.43/2.61  exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.43/2.61  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)))).
% 2.43/2.61  all A B (-v1_xboole_0(B)->k1_fraenkel(A,B)=k1_funct_2(A,B)).
% 2.43/2.61  all A B C D E F (-v1_xboole_0(A)& -v1_xboole_0(B)&v1_funct_1(D)&v1_funct_2(D,k2_zfmisc_1(A,B),C)&m1_relset_1(D,k2_zfmisc_1(A,B),C)&m1_subset_1(E,A)&m1_subset_1(F,B)->k2_binop_1(A,B,C,D,E,F)=k1_binop_1(D,E,F)).
% 2.43/2.61  all A (k6_partfun1(A)=k6_relat_1(A)).
% 2.43/2.61  all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->k8_funct_2(A,B,C,D)=k1_funct_1(C,D)).
% 2.43/2.61  all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)<->m1_subset_1(D,C)))).
% 2.43/2.61  all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.43/2.61  all A B r1_tarski(A,A).
% 2.43/2.61  all A B C (v1_funct_1(C)&v1_funct_2(C,A,B)&m2_relset_1(C,A,B)-> ((B=k1_xboole_0->A=k1_xboole_0)->r2_hidden(C,k1_funct_2(A,B)))).
% 2.43/2.61  all A (-v3_struct_0(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->k3_group_1(A,k2_group_1(A))=k2_group_1(A)).
% 2.43/2.61  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.43/2.61  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.43/2.61  all A B (r2_hidden(B,A)->k1_funct_1(k6_relat_1(A),B)=B).
% 2.43/2.61  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.43/2.61  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.43/2.61  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.43/2.61  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.43/2.61  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.43/2.61  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.43/2.61  end_of_list.
% 2.43/2.61  
% 2.43/2.61  -------> usable clausifies to:
% 2.43/2.61  
% 2.43/2.61  list(usable).
% 2.43/2.61  0 [] A=A.
% 2.43/2.61  0 [] -v3_struct_0($c1).
% 2.43/2.61  0 [] v1_group_1($c1).
% 2.43/2.61  0 [] v3_group_1($c1).
% 2.43/2.61  0 [] v4_group_1($c1).
% 2.43/2.61  0 [] l1_group_1($c1).
% 2.43/2.61  0 [] -m2_fraenkel(k6_partfun1(u1_struct_0($c1)),u1_struct_0($c1),u1_struct_0($c1),k4_autgroup($c1)).
% 2.43/2.61  0 [] -l1_group_1(A)| -v1_group_1(A)|A=g1_group_1(u1_struct_0(A),u1_group_1(A)).
% 2.43/2.61  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.43/2.61  0 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_relat_1(B).
% 2.43/2.61  0 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_funct_1(B).
% 2.43/2.61  0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.43/2.61  0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_partfun1(C,A,B)|v1_funct_2(C,A,B).
% 2.43/2.61  0 [] -l1_group_1(A)|v3_struct_0(A)| -v3_group_1(A)|v2_group_1(A).
% 2.43/2.61  0 [] -v1_relat_1(A)| -v3_relat_2(A)| -v8_relat_2(A)|v1_relat_2(A).
% 2.43/2.61  0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.43/2.61  0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.43/2.61  0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v3_funct_2(C,A,B)|v2_funct_1(C).
% 2.43/2.61  0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v3_funct_2(C,A,B)|v2_funct_2(C,A,B).
% 2.43/2.61  0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v2_funct_1(C)| -v1_funct_2(C,A,B)| -v2_funct_2(C,A,B)|v3_funct_2(C,A,B).
% 2.43/2.61  0 [] -m1_relset_1(B,A,A)| -v1_funct_1(B)| -v1_partfun1(B,A,A)| -v1_relat_2(B)| -v1_funct_2(B,A,A)|v2_funct_1(B).
% 2.43/2.61  0 [] -m1_relset_1(B,A,A)| -v1_funct_1(B)| -v1_partfun1(B,A,A)| -v1_relat_2(B)| -v1_funct_2(B,A,A)|v2_funct_2(B,A,A).
% 2.43/2.61  0 [] -m1_relset_1(B,A,A)| -v1_funct_1(B)| -v1_partfun1(B,A,A)| -v1_relat_2(B)| -v1_funct_2(B,A,A)|v3_funct_2(B,A,A).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.43/2.61  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.43/2.61  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.43/2.61  0 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.43/2.61  0 [] -v1_relat_1(A)| -v1_funct_1(A)|k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C)).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C).
% 2.43/2.61  0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_group_3(A,B,C)=k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))| -r2_hidden(C,B)|m1_subset_1($f1(A,B,C),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))| -r2_hidden(C,B)| -m1_subset_1(E,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E)=k2_group_3(A,E,$f1(A,B,C)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))|r2_hidden(C,B)| -m1_subset_1(D,u1_struct_0(A))|m1_subset_1($f2(A,B,C,D),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))|r2_hidden(C,B)| -m1_subset_1(D,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,$f2(A,B,C,D))!=k2_group_3(A,$f2(A,B,C,D),D).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|m2_fraenkel($f5(A,B),u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|r2_hidden($f5(A,B),B)|m1_subset_1($f3(A,B),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|r2_hidden($f5(A,B),B)| -m1_subset_1(X1,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),$f5(A,B),X1)=k2_group_3(A,X1,$f3(A,B)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)| -r2_hidden($f5(A,B),B)| -m1_subset_1(X2,u1_struct_0(A))|m1_subset_1($f4(A,B,X2),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)| -r2_hidden($f5(A,B),B)| -m1_subset_1(X2,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),$f5(A,B),$f4(A,B,X2))!=k2_group_3(A,$f4(A,B,X2),X2).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B!=k2_group_1(A)| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,C,B)=C.
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B!=k2_group_1(A)| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,B,C)=C.
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B=k2_group_1(A)|m1_subset_1($f6(A,B),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B=k2_group_1(A)|k1_group_1(A,$f6(A,B),B)!=$f6(A,B)|k1_group_1(A,B,$f6(A,B))!=$f6(A,B).
% 2.43/2.61  0 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.43/2.61  0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.43/2.61  0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|l1_group_1(g1_group_1(A,B)).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v1_xboole_0(B)|m1_fraenkel(k1_fraenkel(A,B),A,B).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(D)| -v1_funct_2(D,k2_zfmisc_1(A,B),C)| -m1_relset_1(D,k2_zfmisc_1(A,B),C)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|m1_subset_1(k2_binop_1(A,B,C,D,E,F),C).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_group_1(A)|m1_subset_1(k2_group_1(A),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k3_group_1(A,B),u1_struct_0(A)).
% 2.43/2.61  0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v1_partfun1(k6_partfun1(A),A,A).
% 2.43/2.61  0 [] m2_relset_1(k6_partfun1(A),A,A).
% 2.43/2.61  0 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.61  0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,B,C,D),B).
% 2.43/2.61  0 [] -l1_group_1(A)|l1_struct_0(A).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] -m1_fraenkel(C,A,B)| -v1_xboole_0(C).
% 2.43/2.61  0 [] -m1_fraenkel(C,A,B)|v1_fraenkel(C).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_1(D).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_2(D,A,B).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m2_relset_1(D,A,B).
% 2.43/2.61  0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.43/2.61  0 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.43/2.61  0 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.43/2.61  0 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.43/2.61  0 [] $T.
% 2.43/2.61  0 [] l1_group_1($c2).
% 2.43/2.61  0 [] l1_struct_0($c3).
% 2.43/2.61  0 [] m1_fraenkel($f7(A,B),A,B).
% 2.43/2.61  0 [] m1_relset_1($f8(A,B),A,B).
% 2.43/2.61  0 [] m1_subset_1($f9(A),A).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel($f10(A,B,C),A,B,C).
% 2.43/2.61  0 [] m2_relset_1($f11(A,B),A,B).
% 2.43/2.61  0 [] v1_fraenkel(k1_funct_2(A,B)).
% 2.43/2.61  0 [] v1_xboole_0(B)| -v1_xboole_0(k1_funct_2(A,B)).
% 2.43/2.61  0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)| -v3_struct_0(g1_group_1(A,B)).
% 2.43/2.61  0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.43/2.61  0 [] v1_xboole_0(k1_xboole_0).
% 2.43/2.61  0 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.61  0 [] v1_funct_1(k6_relat_1(A)).
% 2.43/2.61  0 [] -v1_xboole_0(k1_funct_2(A,A)).
% 2.43/2.61  0 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.61  0 [] v1_funct_1(k6_relat_1(A)).
% 2.43/2.61  0 [] v1_relat_2(k6_relat_1(A)).
% 2.43/2.61  0 [] v3_relat_2(k6_relat_1(A)).
% 2.43/2.61  0 [] v4_relat_2(k6_relat_1(A)).
% 2.43/2.61  0 [] v8_relat_2(k6_relat_1(A)).
% 2.43/2.61  0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|A=C.
% 2.43/2.61  0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|B=D.
% 2.43/2.61  0 [] -v1_xboole_0($c4).
% 2.43/2.61  0 [] v1_fraenkel($c4).
% 2.43/2.61  0 [] v1_relat_1($c5).
% 2.43/2.61  0 [] v1_funct_1($c5).
% 2.43/2.61  0 [] m1_relset_1($f12(A,B),A,B).
% 2.43/2.61  0 [] v1_relat_1($f12(A,B)).
% 2.43/2.61  0 [] v1_funct_1($f12(A,B)).
% 2.43/2.61  0 [] v1_funct_2($f12(A,B),A,B).
% 2.43/2.61  0 [] l1_group_1($c6).
% 2.43/2.61  0 [] v1_group_1($c6).
% 2.43/2.61  0 [] v1_relat_1($c7).
% 2.43/2.61  0 [] v1_funct_1($c7).
% 2.43/2.61  0 [] v2_funct_1($c7).
% 2.43/2.61  0 [] v1_xboole_0($c7).
% 2.43/2.61  0 [] v1_xboole_0($c8).
% 2.43/2.61  0 [] v1_relat_1($c9).
% 2.43/2.61  0 [] v1_xboole_0($c9).
% 2.43/2.61  0 [] v1_funct_1($c9).
% 2.43/2.61  0 [] m1_relset_1($f13(A),A,A).
% 2.43/2.61  0 [] v1_relat_1($f13(A)).
% 2.43/2.61  0 [] v1_funct_1($f13(A)).
% 2.43/2.61  0 [] v2_funct_1($f13(A)).
% 2.43/2.61  0 [] v1_funct_2($f13(A),A,A).
% 2.43/2.61  0 [] v2_funct_2($f13(A),A,A).
% 2.43/2.61  0 [] v3_funct_2($f13(A),A,A).
% 2.43/2.61  0 [] l1_group_1($c10).
% 2.43/2.61  0 [] -v3_struct_0($c10).
% 2.43/2.61  0 [] v1_group_1($c10).
% 2.43/2.61  0 [] m1_relset_1($f14(A,B),A,B).
% 2.43/2.61  0 [] v1_relat_1($f14(A,B)).
% 2.43/2.61  0 [] v1_funct_1($f14(A,B)).
% 2.43/2.61  0 [] -v1_xboole_0($c11).
% 2.43/2.61  0 [] v1_relat_1($c12).
% 2.43/2.61  0 [] v1_funct_1($c12).
% 2.43/2.61  0 [] v2_funct_1($c12).
% 2.43/2.61  0 [] l1_group_1($c13).
% 2.43/2.61  0 [] -v3_struct_0($c13).
% 2.43/2.61  0 [] v1_group_1($c13).
% 2.43/2.61  0 [] v2_group_1($c13).
% 2.43/2.61  0 [] v3_group_1($c13).
% 2.43/2.61  0 [] v4_group_1($c13).
% 2.43/2.61  0 [] m1_relset_1($f15(A),A,A).
% 2.43/2.61  0 [] v1_relat_1($f15(A)).
% 2.43/2.61  0 [] v1_relat_2($f15(A)).
% 2.43/2.61  0 [] v3_relat_2($f15(A)).
% 2.43/2.61  0 [] v4_relat_2($f15(A)).
% 2.43/2.61  0 [] v8_relat_2($f15(A)).
% 2.43/2.61  0 [] v1_partfun1($f15(A),A,A).
% 2.43/2.61  0 [] l1_struct_0($c14).
% 2.43/2.61  0 [] -v3_struct_0($c14).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f16(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.43/2.61  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f16(A)).
% 2.43/2.61  0 [] v1_xboole_0(B)|k1_fraenkel(A,B)=k1_funct_2(A,B).
% 2.43/2.61  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(D)| -v1_funct_2(D,k2_zfmisc_1(A,B),C)| -m1_relset_1(D,k2_zfmisc_1(A,B),C)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|k2_binop_1(A,B,C,D,E,F)=k1_binop_1(D,E,F).
% 2.43/2.61  0 [] k6_partfun1(A)=k6_relat_1(A).
% 2.43/2.61  0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|k8_funct_2(A,B,C,D)=k1_funct_1(C,D).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m1_subset_1(D,C).
% 2.43/2.61  0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel(D,A,B,C)| -m1_subset_1(D,C).
% 2.43/2.61  0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.43/2.61  0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.43/2.61  0 [] r1_tarski(A,A).
% 2.43/2.61  0 [] -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m2_relset_1(C,A,B)|B=k1_xboole_0|r2_hidden(C,k1_funct_2(A,B)).
% 2.43/2.61  0 [] -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m2_relset_1(C,A,B)|A!=k1_xboole_0|r2_hidden(C,k1_funct_2(A,B)).
% 2.43/2.62  0 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|k3_group_1(A,k2_group_1(A))=k2_group_1(A).
% 2.43/2.62  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.43/2.62  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.43/2.62  0 [] -r2_hidden(B,A)|k1_funct_1(k6_relat_1(A),B)=B.
% 2.43/2.62  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.43/2.62  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.43/2.62  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.43/2.62  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.43/2.62  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.43/2.62  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.43/2.62  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.43/2.62  end_of_list.
% 2.43/2.62  
% 2.43/2.62  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 2.43/2.62  
% 2.43/2.62  This ia a non-Horn set with equality.  The strategy will be
% 2.43/2.62  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.43/2.62  deletion, with positive clauses in sos and nonpositive
% 2.43/2.62  clauses in usable.
% 2.43/2.62  
% 2.43/2.62     dependent: set(knuth_bendix).
% 2.43/2.62     dependent: set(anl_eq).
% 2.43/2.62     dependent: set(para_from).
% 2.43/2.62     dependent: set(para_into).
% 2.43/2.62     dependent: clear(para_from_right).
% 2.43/2.62     dependent: clear(para_into_right).
% 2.43/2.62     dependent: set(para_from_vars).
% 2.43/2.62     dependent: set(eq_units_both_ways).
% 2.43/2.62     dependent: set(dynamic_demod_all).
% 2.43/2.62     dependent: set(dynamic_demod).
% 2.43/2.62     dependent: set(order_eq).
% 2.43/2.62     dependent: set(back_demod).
% 2.43/2.62     dependent: set(lrpo).
% 2.43/2.62     dependent: set(hyper_res).
% 2.43/2.62     dependent: set(unit_deletion).
% 2.43/2.62     dependent: set(factor).
% 2.43/2.62  
% 2.43/2.62  ------------> process usable:
% 2.43/2.62  ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c1).
% 2.43/2.62  ** KEPT (pick-wt=10): 2 [] -m2_fraenkel(k6_partfun1(u1_struct_0($c1)),u1_struct_0($c1),u1_struct_0($c1),k4_autgroup($c1)).
% 2.43/2.62  ** KEPT (pick-wt=11): 4 [copy,3,flip.3] -l1_group_1(A)| -v1_group_1(A)|g1_group_1(u1_struct_0(A),u1_group_1(A))=A.
% 2.43/2.62  ** KEPT (pick-wt=6): 5 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.43/2.62  ** KEPT (pick-wt=7): 6 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_relat_1(B).
% 2.43/2.62  ** KEPT (pick-wt=7): 7 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_funct_1(B).
% 2.43/2.62  ** KEPT (pick-wt=4): 8 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.43/2.62  ** KEPT (pick-wt=14): 9 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_partfun1(A,B,C)|v1_funct_2(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=8): 10 [] -l1_group_1(A)|v3_struct_0(A)| -v3_group_1(A)|v2_group_1(A).
% 2.43/2.62  ** KEPT (pick-wt=8): 11 [] -v1_relat_1(A)| -v3_relat_2(A)| -v8_relat_2(A)|v1_relat_2(A).
% 2.43/2.62  ** KEPT (pick-wt=8): 12 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.43/2.62  ** KEPT (pick-wt=8): 13 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.43/2.62  ** KEPT (pick-wt=16): 14 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_funct_2(A,B,C)| -v3_funct_2(A,B,C)|v2_funct_1(A).
% 2.43/2.62  ** KEPT (pick-wt=18): 15 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_funct_2(A,B,C)| -v3_funct_2(A,B,C)|v2_funct_2(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=20): 16 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v2_funct_1(A)| -v1_funct_2(A,B,C)| -v2_funct_2(A,B,C)|v3_funct_2(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=18): 17 [] -m1_relset_1(A,B,B)| -v1_funct_1(A)| -v1_partfun1(A,B,B)| -v1_relat_2(A)| -v1_funct_2(A,B,B)|v2_funct_1(A).
% 2.43/2.62  ** KEPT (pick-wt=20): 18 [] -m1_relset_1(A,B,B)| -v1_funct_1(A)| -v1_partfun1(A,B,B)| -v1_relat_2(A)| -v1_funct_2(A,B,B)|v2_funct_2(A,B,B).
% 2.43/2.62  ** KEPT (pick-wt=20): 19 [] -m1_relset_1(A,B,B)| -v1_funct_1(A)| -v1_partfun1(A,B,B)| -v1_relat_2(A)| -v1_funct_2(A,B,B)|v3_funct_2(A,B,B).
% 2.43/2.62  ** KEPT (pick-wt=16): 20 [] v1_xboole_0(A)| -m1_relset_1(B,C,A)| -v1_funct_1(B)| -v1_funct_2(B,C,A)|v1_partfun1(B,C,A).
% 2.43/2.62  ** KEPT (pick-wt=16): 21 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.43/2.62    Following clause subsumed by 20 during input processing: 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.43/2.62  ** KEPT (pick-wt=14): 23 [copy,22,flip.3] -v1_relat_1(A)| -v1_funct_1(A)|k1_funct_1(A,k4_tarski(B,C))=k1_binop_1(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=28): 24 [] v3_struct_0(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C).
% 2.43/2.62  ** KEPT (pick-wt=30): 25 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_group_3(A,B,C)=k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C).
% 2.43/2.62  ** KEPT (pick-wt=41): 26 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))| -r2_hidden(C,B)|m1_subset_1($f1(A,B,C),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=53): 27 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))| -r2_hidden(C,B)| -m1_subset_1(D,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D)=k2_group_3(A,D,$f1(A,B,C)).
% 2.43/2.62  ** KEPT (pick-wt=46): 28 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))|r2_hidden(C,B)| -m1_subset_1(D,u1_struct_0(A))|m1_subset_1($f2(A,B,C,D),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=58): 29 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B!=k4_autgroup(A)| -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A)))|r2_hidden(C,B)| -m1_subset_1(D,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,$f2(A,B,C,D))!=k2_group_3(A,$f2(A,B,C,D),D).
% 2.43/2.62  ** KEPT (pick-wt=33): 30 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|m2_fraenkel($f5(A,B),u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))).
% 2.43/2.62  ** KEPT (pick-wt=31): 31 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|r2_hidden($f5(A,B),B)|m1_subset_1($f3(A,B),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=45): 32 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)|r2_hidden($f5(A,B),B)| -m1_subset_1(C,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),$f5(A,B),C)=k2_group_3(A,C,$f3(A,B)).
% 2.43/2.62  ** KEPT (pick-wt=36): 33 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)| -r2_hidden($f5(A,B),B)| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1($f4(A,B,C),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=49): 34 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A))|B=k4_autgroup(A)| -r2_hidden($f5(A,B),B)| -m1_subset_1(C,u1_struct_0(A))|k8_funct_2(u1_struct_0(A),u1_struct_0(A),$f5(A,B),$f4(A,B,C))!=k2_group_3(A,$f4(A,B,C),C).
% 2.43/2.62  ** KEPT (pick-wt=24): 35 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B!=k2_group_1(A)| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,C,B)=C.
% 2.43/2.62  ** KEPT (pick-wt=24): 36 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B!=k2_group_1(A)| -m1_subset_1(C,u1_struct_0(A))|k1_group_1(A,B,C)=C.
% 2.43/2.62  ** KEPT (pick-wt=20): 37 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B=k2_group_1(A)|m1_subset_1($f6(A,B),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=34): 38 [] v3_struct_0(A)| -l1_group_1(A)| -v2_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|B=k2_group_1(A)|k1_group_1(A,$f6(A,B),B)!=$f6(A,B)|k1_group_1(A,B,$f6(A,B))!=$f6(A,B).
% 2.43/2.62  ** KEPT (pick-wt=18): 39 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|v1_group_1(g1_group_1(B,A)).
% 2.43/2.62  ** KEPT (pick-wt=18): 40 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|l1_group_1(g1_group_1(B,A)).
% 2.43/2.62  ** KEPT (pick-wt=19): 41 [] v3_struct_0(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=33): 42 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,B),D)| -m1_relset_1(C,k2_zfmisc_1(A,B),D)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|m1_subset_1(k2_binop_1(A,B,D,C,E,F),D).
% 2.43/2.62  ** KEPT (pick-wt=9): 43 [] v3_struct_0(A)| -l1_group_1(A)|m1_subset_1(k2_group_1(A),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=23): 44 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=18): 45 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k3_group_1(A,B),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=17): 46 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=22): 47 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,C,B,D),C).
% 2.43/2.62  ** KEPT (pick-wt=4): 48 [] -l1_group_1(A)|l1_struct_0(A).
% 2.43/2.62  ** KEPT (pick-wt=6): 49 [] -m1_fraenkel(A,B,C)| -v1_xboole_0(A).
% 2.43/2.62  ** KEPT (pick-wt=6): 50 [] -m1_fraenkel(A,B,C)|v1_fraenkel(A).
% 2.43/2.62  ** KEPT (pick-wt=13): 51 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_1(D).
% 2.43/2.62  ** KEPT (pick-wt=15): 52 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_2(D,C,A).
% 2.43/2.62  ** KEPT (pick-wt=15): 53 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m2_relset_1(D,C,A).
% 2.43/2.62  ** KEPT (pick-wt=10): 54 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.43/2.62  ** KEPT (pick-wt=5): 55 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=12): 56 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=12): 57 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=14): 58 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel($f10(C,A,B),C,A,B).
% 2.43/2.62  ** KEPT (pick-wt=6): 59 [] v1_xboole_0(A)| -v1_xboole_0(k1_funct_2(B,A)).
% 2.43/2.62  ** KEPT (pick-wt=20): 60 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)| -v3_struct_0(g1_group_1(A,B)).
% 2.43/2.62    Following clause subsumed by 39 during input processing: 0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.43/2.62  ** KEPT (pick-wt=7): 61 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.43/2.62  ** KEPT (pick-wt=4): 62 [] -v1_xboole_0(k1_funct_2(A,A)).
% 2.43/2.62  ** KEPT (pick-wt=24): 63 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|B=C.
% 2.43/2.62  ** KEPT (pick-wt=24): 64 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|A=D.
% 2.43/2.62  ** KEPT (pick-wt=2): 65 [] -v1_xboole_0($c4).
% 2.43/2.62  ** KEPT (pick-wt=2): 66 [] -v3_struct_0($c10).
% 2.43/2.62  ** KEPT (pick-wt=2): 67 [] -v1_xboole_0($c11).
% 2.43/2.62  ** KEPT (pick-wt=2): 68 [] -v3_struct_0($c13).
% 2.43/2.62  ** KEPT (pick-wt=2): 69 [] -v3_struct_0($c14).
% 2.43/2.62  ** KEPT (pick-wt=10): 70 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f16(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.43/2.62  ** KEPT (pick-wt=7): 71 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f16(A)).
% 2.43/2.62  ** KEPT (pick-wt=36): 72 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,B),D)| -m1_relset_1(C,k2_zfmisc_1(A,B),D)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|k2_binop_1(A,B,D,C,E,F)=k1_binop_1(C,E,F).
% 2.43/2.62  ** KEPT (pick-wt=24): 73 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|k8_funct_2(A,C,B,D)=k1_funct_1(B,D).
% 2.43/2.62  ** KEPT (pick-wt=14): 74 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m1_subset_1(D,B).
% 2.43/2.62  ** KEPT (pick-wt=14): 75 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel(D,C,A,B)| -m1_subset_1(D,B).
% 2.43/2.62  ** KEPT (pick-wt=8): 76 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=8): 77 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.43/2.62  ** KEPT (pick-wt=18): 78 [] -v1_funct_1(A)| -v1_funct_2(A,B,C)| -m2_relset_1(A,B,C)|C=k1_xboole_0|r2_hidden(A,k1_funct_2(B,C)).
% 2.43/2.62  ** KEPT (pick-wt=18): 79 [] -v1_funct_1(A)| -v1_funct_2(A,B,C)| -m2_relset_1(A,B,C)|B!=k1_xboole_0|r2_hidden(A,k1_funct_2(B,C)).
% 2.43/2.62  ** KEPT (pick-wt=15): 80 [] v3_struct_0(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|k3_group_1(A,k2_group_1(A))=k2_group_1(A).
% 2.43/2.62  ** KEPT (pick-wt=6): 81 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.43/2.62  ** KEPT (pick-wt=8): 82 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.43/2.62  ** KEPT (pick-wt=9): 83 [] -r2_hidden(A,B)|k1_funct_1(k6_relat_1(B),A)=A.
% 2.43/2.62  ** KEPT (pick-wt=7): 84 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.43/2.62  ** KEPT (pick-wt=7): 85 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.43/2.62  ** KEPT (pick-wt=10): 86 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.43/2.62  ** KEPT (pick-wt=9): 87 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.43/2.62  ** KEPT (pick-wt=5): 88 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.43/2.62  ** KEPT (pick-wt=5): 89 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.43/2.62  ** KEPT (pick-wt=7): 90 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.43/2.62  
% 2.43/2.62  ------------> process sos:
% 2.43/2.62  ** KEPT (pick-wt=3): 103 [] A=A.
% 2.43/2.62  ** KEPT (pick-wt=2): 104 [] v1_group_1($c1).
% 2.43/2.62  ** KEPT (pick-wt=2): 105 [] v3_group_1($c1).
% 2.43/2.62  ** KEPT (pick-wt=2): 106 [] v4_group_1($c1).
% 2.43/2.62  ** KEPT (pick-wt=2): 107 [] l1_group_1($c1).
% 2.43/2.62  ** KEPT (pick-wt=7): 108 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.43/2.62  ** KEPT (pick-wt=10): 109 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.43/2.62  ** KEPT (pick-wt=8): 110 [] v1_xboole_0(A)|m1_fraenkel(k1_fraenkel(B,A),B,A).
% 2.43/2.62  ** KEPT (pick-wt=5): 111 [] v1_partfun1(k6_partfun1(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=5): 112 [] m2_relset_1(k6_partfun1(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=3): 113 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=2): 114 [] l1_group_1($c2).
% 2.43/2.62  ** KEPT (pick-wt=2): 115 [] l1_struct_0($c3).
% 2.43/2.62  ** KEPT (pick-wt=6): 116 [] m1_fraenkel($f7(A,B),A,B).
% 2.43/2.62  ** KEPT (pick-wt=6): 117 [] m1_relset_1($f8(A,B),A,B).
% 2.43/2.62  ** KEPT (pick-wt=4): 118 [] m1_subset_1($f9(A),A).
% 2.43/2.62  ** KEPT (pick-wt=6): 119 [] m2_relset_1($f11(A,B),A,B).
% 2.43/2.62  ** KEPT (pick-wt=4): 120 [] v1_fraenkel(k1_funct_2(A,B)).
% 2.43/2.62  ** KEPT (pick-wt=2): 121 [] v1_xboole_0(k1_xboole_0).
% 2.43/2.62    Following clause subsumed by 113 during input processing: 0 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 122 [] v1_funct_1(k6_relat_1(A)).
% 2.43/2.62    Following clause subsumed by 113 during input processing: 0 [] v1_relat_1(k6_relat_1(A)).
% 2.43/2.62    Following clause subsumed by 122 during input processing: 0 [] v1_funct_1(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 123 [] v1_relat_2(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 124 [] v3_relat_2(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 125 [] v4_relat_2(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 126 [] v8_relat_2(k6_relat_1(A)).
% 2.43/2.62  ** KEPT (pick-wt=2): 127 [] v1_fraenkel($c4).
% 2.43/2.62  ** KEPT (pick-wt=2): 128 [] v1_relat_1($c5).
% 2.43/2.62  ** KEPT (pick-wt=2): 129 [] v1_funct_1($c5).
% 2.43/2.62  ** KEPT (pick-wt=6): 130 [] m1_relset_1($f12(A,B),A,B).
% 2.43/2.62  ** KEPT (pick-wt=4): 131 [] v1_relat_1($f12(A,B)).
% 2.43/2.62  ** KEPT (pick-wt=4): 132 [] v1_funct_1($f12(A,B)).
% 2.43/2.62  ** KEPT (pick-wt=6): 133 [] v1_funct_2($f12(A,B),A,B).
% 2.43/2.62  ** KEPT (pick-wt=2): 134 [] l1_group_1($c6).
% 2.43/2.62  ** KEPT (pick-wt=2): 135 [] v1_group_1($c6).
% 2.43/2.62  ** KEPT (pick-wt=2): 136 [] v1_relat_1($c7).
% 2.43/2.62  ** KEPT (pick-wt=2): 137 [] v1_funct_1($c7).
% 2.43/2.62  ** KEPT (pick-wt=2): 138 [] v2_funct_1($c7).
% 2.43/2.62  ** KEPT (pick-wt=2): 139 [] v1_xboole_0($c7).
% 2.43/2.62  ** KEPT (pick-wt=2): 140 [] v1_xboole_0($c8).
% 2.43/2.62  ** KEPT (pick-wt=2): 141 [] v1_relat_1($c9).
% 2.43/2.62  ** KEPT (pick-wt=2): 142 [] v1_xboole_0($c9).
% 2.43/2.62  ** KEPT (pick-wt=2): 143 [] v1_funct_1($c9).
% 2.43/2.62  ** KEPT (pick-wt=5): 144 [] m1_relset_1($f13(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=3): 145 [] v1_relat_1($f13(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 146 [] v1_funct_1($f13(A)).
% 2.43/2.62  ** KEPT (pick-wt=3): 147 [] v2_funct_1($f13(A)).
% 2.43/2.62  ** KEPT (pick-wt=5): 148 [] v1_funct_2($f13(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=5): 149 [] v2_funct_2($f13(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=5): 150 [] v3_funct_2($f13(A),A,A).
% 2.43/2.62  ** KEPT (pick-wt=2): 151 [] l1_group_1($c10).
% 2.43/2.62  ** KEPT (pick-wt=2): 152 [] v1_group_1($c10).
% 2.43/2.62  ** KEPT (pick-wt=6): 153 [] m1_relset_1($f14(A,B),A,B).
% 3.18/3.32  ** KEPT (pick-wt=4): 154 [] v1_relat_1($f14(A,B)).
% 3.18/3.32  ** KEPT (pick-wt=4): 155 [] v1_funct_1($f14(A,B)).
% 3.18/3.32  ** KEPT (pick-wt=2): 156 [] v1_relat_1($c12).
% 3.18/3.32  ** KEPT (pick-wt=2): 157 [] v1_funct_1($c12).
% 3.18/3.32  ** KEPT (pick-wt=2): 158 [] v2_funct_1($c12).
% 3.18/3.32  ** KEPT (pick-wt=2): 159 [] l1_group_1($c13).
% 3.18/3.32  ** KEPT (pick-wt=2): 160 [] v1_group_1($c13).
% 3.18/3.32  ** KEPT (pick-wt=2): 161 [] v2_group_1($c13).
% 3.18/3.32  ** KEPT (pick-wt=2): 162 [] v3_group_1($c13).
% 3.18/3.32  ** KEPT (pick-wt=2): 163 [] v4_group_1($c13).
% 3.18/3.32  ** KEPT (pick-wt=5): 164 [] m1_relset_1($f15(A),A,A).
% 3.18/3.32  ** KEPT (pick-wt=3): 165 [] v1_relat_1($f15(A)).
% 3.18/3.32  ** KEPT (pick-wt=3): 166 [] v1_relat_2($f15(A)).
% 3.18/3.32  ** KEPT (pick-wt=3): 167 [] v3_relat_2($f15(A)).
% 3.18/3.32  ** KEPT (pick-wt=3): 168 [] v4_relat_2($f15(A)).
% 3.18/3.32  ** KEPT (pick-wt=3): 169 [] v8_relat_2($f15(A)).
% 3.18/3.32  ** KEPT (pick-wt=5): 170 [] v1_partfun1($f15(A),A,A).
% 3.18/3.32  ** KEPT (pick-wt=2): 171 [] l1_struct_0($c14).
% 3.18/3.32  ** KEPT (pick-wt=9): 173 [copy,172,flip.2] v1_xboole_0(A)|k1_funct_2(B,A)=k1_fraenkel(B,A).
% 3.18/3.32  ** KEPT (pick-wt=5): 175 [copy,174,flip.1] k6_relat_1(A)=k6_partfun1(A).
% 3.18/3.32  ---> New Demodulator: 176 [new_demod,175] k6_relat_1(A)=k6_partfun1(A).
% 3.18/3.32  ** KEPT (pick-wt=3): 177 [] r1_tarski(A,A).
% 3.18/3.32    Following clause subsumed by 103 during input processing: 0 [copy,103,flip.1] A=A.
% 3.18/3.32  103 back subsumes 102.
% 3.18/3.32    Following clause subsumed by 108 during input processing: 0 [copy,108,flip.1] k2_tarski(A,B)=k2_tarski(B,A).
% 3.18/3.32  ** KEPT (pick-wt=10): 178 [copy,109,flip.1] k2_tarski(k2_tarski(A,B),k1_tarski(A))=k4_tarski(A,B).
% 3.18/3.32  >>>> Starting back demodulation with 176.
% 3.18/3.32      >> back demodulating 126 with 176.
% 3.18/3.32      >> back demodulating 125 with 176.
% 3.18/3.32      >> back demodulating 124 with 176.
% 3.18/3.32      >> back demodulating 123 with 176.
% 3.18/3.32      >> back demodulating 122 with 176.
% 3.18/3.32      >> back demodulating 113 with 176.
% 3.18/3.32      >> back demodulating 83 with 176.
% 3.18/3.32    Following clause subsumed by 109 during input processing: 0 [copy,178,flip.1] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 3.18/3.32  
% 3.18/3.32  ======= end of input processing =======
% 3.18/3.32  
% 3.18/3.32  =========== start of search ===========
% 3.18/3.32  
% 3.18/3.32  
% 3.18/3.32  Resetting weight limit to 2.
% 3.18/3.32  
% 3.18/3.32  
% 3.18/3.32  Resetting weight limit to 2.
% 3.18/3.32  
% 3.18/3.32  sos_size=205
% 3.18/3.32  
% 3.18/3.32  Search stopped because sos empty.
% 3.18/3.32  
% 3.18/3.32  
% 3.18/3.32  Search stopped because sos empty.
% 3.18/3.32  
% 3.18/3.32  ============ end of search ============
% 3.18/3.32  
% 3.18/3.32  -------------- statistics -------------
% 3.18/3.32  clauses given                223
% 3.18/3.32  clauses generated          26011
% 3.18/3.32  clauses kept                 331
% 3.18/3.32  clauses forward subsumed      56
% 3.18/3.32  clauses back subsumed          3
% 3.18/3.32  Kbytes malloced             5859
% 3.18/3.32  
% 3.18/3.32  ----------- times (seconds) -----------
% 3.18/3.32  user CPU time          0.71          (0 hr, 0 min, 0 sec)
% 3.18/3.32  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.18/3.32  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.18/3.32  
% 3.18/3.32  Process 6522 finished Wed Jul 27 05:10:03 2022
% 3.18/3.32  Otter interrupted
% 3.18/3.32  PROOF NOT FOUND
%------------------------------------------------------------------------------