TSTP Solution File: LAT314+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n006.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 13:02:38 EDT 2022

% Result   : Timeout 299.93s 300.09s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Jul 27 08:17:46 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 2.27/2.48  ----- Otter 3.3f, August 2004 -----
% 2.27/2.48  The process was started by sandbox2 on n006.cluster.edu,
% 2.27/2.48  Wed Jul 27 08:17:47 2022
% 2.27/2.48  The command was "./otter".  The process ID is 17501.
% 2.27/2.48  
% 2.27/2.48  set(prolog_style_variables).
% 2.27/2.48  set(auto).
% 2.27/2.48     dependent: set(auto1).
% 2.27/2.48     dependent: set(process_input).
% 2.27/2.48     dependent: clear(print_kept).
% 2.27/2.48     dependent: clear(print_new_demod).
% 2.27/2.48     dependent: clear(print_back_demod).
% 2.27/2.48     dependent: clear(print_back_sub).
% 2.27/2.48     dependent: set(control_memory).
% 2.27/2.48     dependent: assign(max_mem, 12000).
% 2.27/2.48     dependent: assign(pick_given_ratio, 4).
% 2.27/2.48     dependent: assign(stats_level, 1).
% 2.27/2.48     dependent: assign(max_seconds, 10800).
% 2.27/2.48  clear(print_given).
% 2.27/2.48  
% 2.27/2.48  formula_list(usable).
% 2.27/2.48  all A (A=A).
% 2.27/2.48  -(all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (-v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (all C (-v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))->r1_filter_2(u1_struct_0(A),k20_filter_2(A,B,C),k20_filter_2(A,C,B)))))))).
% 2.27/2.48  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.27/2.48  all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.27/2.48  all A (l3_lattices(A)-> (-v3_struct_0(A)&v10_lattices(A)-> -v3_struct_0(A)&v4_lattices(A)&v5_lattices(A)&v6_lattices(A)&v7_lattices(A)&v8_lattices(A)&v9_lattices(A))).
% 2.27/2.48  all A (-v1_realset1(A)-> -v1_xboole_0(A)).
% 2.27/2.48  all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.27/2.48  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)).
% 2.27/2.48  all A (l3_lattices(A)-> (-v3_struct_0(A)&v4_lattices(A)&v5_lattices(A)&v6_lattices(A)&v7_lattices(A)&v8_lattices(A)&v9_lattices(A)-> -v3_struct_0(A)&v10_lattices(A))).
% 2.27/2.48  all A B (k2_tarski(A,B)=k2_tarski(B,A)).
% 2.27/2.48  all A B C (-v3_struct_0(A)&v4_lattices(A)&l2_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->k3_lattices(A,B,C)=k3_lattices(A,C,B)).
% 2.27/2.48  all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (-v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (all C (-v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))->k20_filter_2(A,B,C)=a_3_0_filter_2(A,B,C)))))).
% 2.27/2.48  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))))).
% 2.27/2.48  all A (-v1_xboole_0(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))-> (all C (m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)<-> (all D (m1_subset_1(D,A)-> (r2_hidden(D,B)<->r2_hidden(D,C)))))))))).
% 2.27/2.48  all A (-v3_struct_0(A)&l2_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))->k1_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C)))))).
% 2.27/2.48  all A B (k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A))).
% 2.27/2.48  $T.
% 2.27/2.48  $T.
% 2.27/2.48  all A B C (-v3_struct_0(A)&l2_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A))).
% 2.27/2.48  $T.
% 2.27/2.48  $T.
% 2.27/2.48  $T.
% 2.27/2.48  all A B C (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)& -v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))->m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A)))).
% 2.27/2.48  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)).
% 2.27/2.48  $T.
% 2.27/2.48  $T.
% 2.27/2.48  all A B C (-v3_struct_0(A)&v4_lattices(A)&l2_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A))).
% 2.27/2.48  $T.
% 2.27/2.48  all A (l1_lattices(A)->l1_struct_0(A)).
% 2.27/2.48  $T.
% 2.27/2.48  all A (l2_lattices(A)->l1_struct_0(A)).
% 2.27/2.48  all A (l3_lattices(A)->l1_lattices(A)&l2_lattices(A)).
% 2.27/2.48  $T.
% 2.27/2.48  $T.
% 2.27/2.48  all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.27/2.48  $T.
% 2.27/2.48  all A (l2_lattices(A)->v1_funct_1(u2_lattices(A))&v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.27/2.48  exists A l1_lattices(A).
% 2.27/2.48  exists A l1_struct_0(A).
% 2.27/2.48  exists A l2_lattices(A).
% 2.27/2.48  exists A l3_lattices(A).
% 2.27/2.48  all A B exists C m1_relset_1(C,A,B).
% 2.27/2.48  all A exists B m1_subset_1(B,A).
% 2.27/2.48  all A B exists C m2_relset_1(C,A,B).
% 2.27/2.48  all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.27/2.48  all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.27/2.48  v1_xboole_0(k1_xboole_0).
% 2.27/2.48  all A (-v3_struct_0(A)&v4_lattices(A)&l2_lattices(A)->v1_relat_1(u2_lattices(A))&v1_funct_1(u2_lattices(A))&v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&v1_binop_1(u2_lattices(A),u1_struct_0(A))&v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.27/2.48  all A (-v1_xboole_0(k1_tarski(A))).
% 2.27/2.48  all A B C (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)& -v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))-> -v1_xboole_0(k20_filter_2(A,B,C))).
% 2.27/2.48  all A (-v3_struct_0(A)&v5_lattices(A)&l2_lattices(A)->v1_relat_1(u2_lattices(A))&v1_funct_1(u2_lattices(A))&v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&v2_binop_1(u2_lattices(A),u1_struct_0(A))&v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.27/2.48  all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))&v1_realset1(k1_tarski(A))).
% 2.27/2.48  all A B (-v1_xboole_0(k2_tarski(A,B))).
% 2.27/2.48  all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.27/2.48  all A B C D (-v3_struct_0(B)&v10_lattices(B)&l3_lattices(B)& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))& -v1_xboole_0(D)&m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))-> (r2_hidden(A,a_3_0_filter_2(B,C,D))<-> (exists E F (m1_subset_1(E,u1_struct_0(B))&m1_subset_1(F,u1_struct_0(B))&A=k3_lattices(B,E,F)&r2_hidden(E,C)&r2_hidden(F,D))))).
% 2.27/2.48  exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.27/2.48  exists A (-v1_xboole_0(A)&v1_realset1(A)).
% 2.27/2.48  all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.27/2.48  exists A v1_xboole_0(A).
% 2.27/2.48  exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.27/2.48  exists A (-v1_xboole_0(A)& -v1_realset1(A)).
% 2.27/2.48  all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.27/2.48  exists A (-v1_xboole_0(A)).
% 2.27/2.48  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.27/2.48  exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.27/2.48  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)))).
% 2.27/2.48  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)).
% 2.27/2.48  all A B C (-v3_struct_0(A)&v4_lattices(A)&l2_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->k3_lattices(A,B,C)=k1_lattices(A,B,C)).
% 2.27/2.48  all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.27/2.48  all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)<->B=C)).
% 2.27/2.48  all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->r1_filter_2(A,B,B)).
% 2.27/2.48  all A B r1_tarski(A,A).
% 2.27/2.48  all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)->r1_filter_2(A,C,B))).
% 2.27/2.48  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.27/2.48  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.27/2.48  all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 2.27/2.48  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.27/2.48  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.27/2.48  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.27/2.48  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.27/2.48  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.27/2.48  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.27/2.48  end_of_list.
% 2.27/2.48  
% 2.27/2.48  -------> usable clausifies to:
% 2.27/2.48  
% 2.27/2.48  list(usable).
% 2.27/2.48  0 [] A=A.
% 2.27/2.48  0 [] -v3_struct_0($c3).
% 2.27/2.48  0 [] v10_lattices($c3).
% 2.27/2.48  0 [] l3_lattices($c3).
% 2.27/2.48  0 [] -v1_xboole_0($c2).
% 2.27/2.48  0 [] m1_subset_1($c2,k1_zfmisc_1(u1_struct_0($c3))).
% 2.27/2.48  0 [] -v1_xboole_0($c1).
% 2.27/2.48  0 [] m1_subset_1($c1,k1_zfmisc_1(u1_struct_0($c3))).
% 2.27/2.48  0 [] -r1_filter_2(u1_struct_0($c3),k20_filter_2($c3,$c2,$c1),k20_filter_2($c3,$c1,$c2)).
% 2.27/2.48  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.27/2.48  0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.27/2.48  0 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.27/2.48  0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.27/2.48  0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.27/2.48  0 [] -l3_lattices(A)|v3_struct_0(A)| -v4_lattices(A)| -v5_lattices(A)| -v6_lattices(A)| -v7_lattices(A)| -v8_lattices(A)| -v9_lattices(A)|v10_lattices(A).
% 2.27/2.48  0 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k3_lattices(A,C,B).
% 2.27/2.48  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))|k20_filter_2(A,B,C)=a_3_0_filter_2(A,B,C).
% 2.27/2.48  0 [] -v1_relat_1(A)| -v1_funct_1(A)|k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C)).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)| -r2_hidden(D,B)|r2_hidden(D,C).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)|r2_hidden(D,B)| -r2_hidden(D,C).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|m1_subset_1($f1(A,B,C),A).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|r2_hidden($f1(A,B,C),B)|r2_hidden($f1(A,B,C),C).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)| -r2_hidden($f1(A,B,C),B)| -r2_hidden($f1(A,B,C),C).
% 2.27/2.48  0 [] v3_struct_0(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k1_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C).
% 2.27/2.48  0 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] v3_struct_0(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))|m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))).
% 2.27/2.48  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).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] -l1_lattices(A)|l1_struct_0(A).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] -l2_lattices(A)|l1_struct_0(A).
% 2.27/2.48  0 [] -l3_lattices(A)|l1_lattices(A).
% 2.27/2.48  0 [] -l3_lattices(A)|l2_lattices(A).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.27/2.48  0 [] $T.
% 2.27/2.48  0 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.48  0 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] l1_lattices($c4).
% 2.27/2.48  0 [] l1_struct_0($c5).
% 2.27/2.48  0 [] l2_lattices($c6).
% 2.27/2.48  0 [] l3_lattices($c7).
% 2.27/2.48  0 [] m1_relset_1($f2(A,B),A,B).
% 2.27/2.48  0 [] m1_subset_1($f3(A),A).
% 2.27/2.48  0 [] m2_relset_1($f4(A,B),A,B).
% 2.27/2.48  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.27/2.48  0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.27/2.48  0 [] v1_xboole_0(k1_xboole_0).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] -v1_xboole_0(k1_tarski(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(k20_filter_2(A,B,C)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.27/2.48  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.48  0 [] -v1_xboole_0(k1_tarski(A)).
% 2.27/2.48  0 [] v1_finset_1(k1_tarski(A)).
% 2.27/2.48  0 [] v1_realset1(k1_tarski(A)).
% 2.27/2.48  0 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.27/2.48  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(A,a_3_0_filter_2(B,C,D))|m1_subset_1($f6(A,B,C,D),u1_struct_0(B)).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(A,a_3_0_filter_2(B,C,D))|m1_subset_1($f5(A,B,C,D),u1_struct_0(B)).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(A,a_3_0_filter_2(B,C,D))|A=k3_lattices(B,$f6(A,B,C,D),$f5(A,B,C,D)).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(A,a_3_0_filter_2(B,C,D))|r2_hidden($f6(A,B,C,D),C).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(A,a_3_0_filter_2(B,C,D))|r2_hidden($f5(A,B,C,D),D).
% 2.27/2.48  0 [] v3_struct_0(B)| -v10_lattices(B)| -l3_lattices(B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_xboole_0(D)| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))|r2_hidden(A,a_3_0_filter_2(B,C,D))| -m1_subset_1(E,u1_struct_0(B))| -m1_subset_1(F,u1_struct_0(B))|A!=k3_lattices(B,E,F)| -r2_hidden(E,C)| -r2_hidden(F,D).
% 2.27/2.48  0 [] v1_relat_1($c8).
% 2.27/2.48  0 [] v1_funct_1($c8).
% 2.27/2.48  0 [] -v1_xboole_0($c9).
% 2.27/2.48  0 [] v1_realset1($c9).
% 2.27/2.48  0 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.27/2.48  0 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.27/2.48  0 [] v1_xboole_0($c10).
% 2.27/2.48  0 [] v1_relat_1($c11).
% 2.27/2.48  0 [] v1_xboole_0($c11).
% 2.27/2.48  0 [] v1_funct_1($c11).
% 2.27/2.48  0 [] -v1_xboole_0($c12).
% 2.27/2.48  0 [] -v1_realset1($c12).
% 2.27/2.48  0 [] m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 2.27/2.48  0 [] v1_xboole_0($f8(A)).
% 2.27/2.48  0 [] -v1_xboole_0($c13).
% 2.27/2.48  0 [] v1_relat_1($c14).
% 2.27/2.48  0 [] v1_funct_1($c14).
% 2.27/2.48  0 [] v2_funct_1($c14).
% 2.27/2.48  0 [] l1_struct_0($c15).
% 2.27/2.48  0 [] -v3_struct_0($c15).
% 2.27/2.48  0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.27/2.48  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.27/2.48  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).
% 2.27/2.48  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k1_lattices(A,B,C).
% 2.27/2.48  0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.27/2.48  0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|B=C.
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|B!=C.
% 2.27/2.48  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,B).
% 2.27/2.49  0 [] r1_tarski(A,A).
% 2.27/2.49  0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|r1_filter_2(A,C,B).
% 2.27/2.49  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.27/2.49  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.27/2.49  0 [] r2_hidden($f10(A,B),A)|r2_hidden($f10(A,B),B)|A=B.
% 2.27/2.49  0 [] -r2_hidden($f10(A,B),A)| -r2_hidden($f10(A,B),B)|A=B.
% 2.27/2.49  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.27/2.49  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.27/2.49  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.27/2.49  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.27/2.49  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.27/2.49  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.27/2.49  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.27/2.49  end_of_list.
% 2.27/2.49  
% 2.27/2.49  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=13.
% 2.27/2.49  
% 2.27/2.49  This ia a non-Horn set with equality.  The strategy will be
% 2.27/2.49  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.27/2.49  deletion, with positive clauses in sos and nonpositive
% 2.27/2.49  clauses in usable.
% 2.27/2.49  
% 2.27/2.49     dependent: set(knuth_bendix).
% 2.27/2.49     dependent: set(anl_eq).
% 2.27/2.49     dependent: set(para_from).
% 2.27/2.49     dependent: set(para_into).
% 2.27/2.49     dependent: clear(para_from_right).
% 2.27/2.49     dependent: clear(para_into_right).
% 2.27/2.49     dependent: set(para_from_vars).
% 2.27/2.49     dependent: set(eq_units_both_ways).
% 2.27/2.49     dependent: set(dynamic_demod_all).
% 2.27/2.49     dependent: set(dynamic_demod).
% 2.27/2.49     dependent: set(order_eq).
% 2.27/2.49     dependent: set(back_demod).
% 2.27/2.49     dependent: set(lrpo).
% 2.27/2.49     dependent: set(hyper_res).
% 2.27/2.49     dependent: set(unit_deletion).
% 2.27/2.49     dependent: set(factor).
% 2.27/2.49  
% 2.27/2.49  ------------> process usable:
% 2.27/2.49  ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c3).
% 2.27/2.49  ** KEPT (pick-wt=2): 2 [] -v1_xboole_0($c2).
% 2.27/2.49  ** KEPT (pick-wt=2): 3 [] -v1_xboole_0($c1).
% 2.27/2.49  ** KEPT (pick-wt=11): 4 [] -r1_filter_2(u1_struct_0($c3),k20_filter_2($c3,$c2,$c1),k20_filter_2($c3,$c1,$c2)).
% 2.27/2.49  ** KEPT (pick-wt=6): 5 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.27/2.49  ** KEPT (pick-wt=4): 6 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 7 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 8 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 9 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 10 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 11 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 12 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=4): 13 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 14 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.27/2.49  ** KEPT (pick-wt=8): 15 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.27/2.49  ** KEPT (pick-wt=18): 16 [] -l3_lattices(A)|v3_struct_0(A)| -v4_lattices(A)| -v5_lattices(A)| -v6_lattices(A)| -v7_lattices(A)| -v8_lattices(A)| -v9_lattices(A)|v10_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=23): 17 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k3_lattices(A,C,B).
% 2.27/2.49  ** KEPT (pick-wt=29): 18 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))|k20_filter_2(A,B,C)=a_3_0_filter_2(A,B,C).
% 2.27/2.49  ** KEPT (pick-wt=14): 20 [copy,19,flip.3] -v1_relat_1(A)| -v1_funct_1(A)|k1_funct_1(A,k4_tarski(B,C))=k1_binop_1(A,B,C).
% 2.27/2.49  ** KEPT (pick-wt=23): 21 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)| -r2_hidden(D,B)|r2_hidden(D,C).
% 2.27/2.49  ** KEPT (pick-wt=23): 22 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)|r2_hidden(D,B)| -r2_hidden(D,C).
% 2.27/2.49  ** KEPT (pick-wt=20): 23 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|m1_subset_1($f1(A,B,C),A).
% 2.27/2.49  ** KEPT (pick-wt=26): 24 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|r2_hidden($f1(A,B,C),B)|r2_hidden($f1(A,B,C),C).
% 2.27/2.49  ** KEPT (pick-wt=26): 25 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)| -r2_hidden($f1(A,B,C),B)| -r2_hidden($f1(A,B,C),C).
% 2.27/2.49  ** KEPT (pick-wt=28): 26 [] v3_struct_0(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k1_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C).
% 2.27/2.49  ** KEPT (pick-wt=19): 27 [] v3_struct_0(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=28): 28 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))|m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))).
% 2.27/2.49  ** KEPT (pick-wt=33): 29 [] 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).
% 2.27/2.49  ** KEPT (pick-wt=21): 30 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=4): 31 [] -l1_lattices(A)|l1_struct_0(A).
% 2.27/2.49  ** KEPT (pick-wt=4): 32 [] -l2_lattices(A)|l1_struct_0(A).
% 2.27/2.49  ** KEPT (pick-wt=4): 33 [] -l3_lattices(A)|l1_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=4): 34 [] -l3_lattices(A)|l2_lattices(A).
% 2.27/2.49  ** KEPT (pick-wt=10): 35 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.27/2.49  ** KEPT (pick-wt=5): 36 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.49  ** KEPT (pick-wt=12): 37 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=12): 38 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=7): 39 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=3): 40 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.27/2.49  ** KEPT (pick-wt=9): 41 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.27/2.49    Following clause subsumed by 36 during input processing: 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.49    Following clause subsumed by 37 during input processing: 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=11): 42 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=16): 43 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=3): 44 [] -v1_xboole_0(k1_tarski(A)).
% 2.27/2.49  ** KEPT (pick-wt=25): 45 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(k20_filter_2(A,B,C)).
% 2.27/2.49  ** KEPT (pick-wt=9): 46 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.27/2.49    Following clause subsumed by 36 during input processing: 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.27/2.49    Following clause subsumed by 37 during input processing: 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=11): 47 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=16): 48 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.27/2.49    Following clause subsumed by 44 during input processing: 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.27/2.49  ** KEPT (pick-wt=4): 49 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.27/2.49  ** KEPT (pick-wt=8): 50 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.27/2.49  ** KEPT (pick-wt=34): 51 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(D,a_3_0_filter_2(A,B,C))|m1_subset_1($f6(D,A,B,C),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=34): 52 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(D,a_3_0_filter_2(A,B,C))|m1_subset_1($f5(D,A,B,C),u1_struct_0(A)).
% 2.27/2.49  ** KEPT (pick-wt=40): 54 [copy,53,flip.9] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(D,a_3_0_filter_2(A,B,C))|k3_lattices(A,$f6(D,A,B,C),$f5(D,A,B,C))=D.
% 2.27/2.49  ** KEPT (pick-wt=33): 55 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(D,a_3_0_filter_2(A,B,C))|r2_hidden($f6(D,A,B,C),B).
% 2.27/2.49  ** KEPT (pick-wt=33): 56 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(D,a_3_0_filter_2(A,B,C))|r2_hidden($f5(D,A,B,C),C).
% 2.27/2.49  ** KEPT (pick-wt=46): 57 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))|r2_hidden(D,a_3_0_filter_2(A,B,C))| -m1_subset_1(E,u1_struct_0(A))| -m1_subset_1(F,u1_struct_0(A))|D!=k3_lattices(A,E,F)| -r2_hidden(E,B)| -r2_hidden(F,C).
% 2.27/2.49  ** KEPT (pick-wt=2): 58 [] -v1_xboole_0($c9).
% 2.27/2.49  ** KEPT (pick-wt=5): 59 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.27/2.49  ** KEPT (pick-wt=2): 60 [] -v1_xboole_0($c12).
% 2.27/2.49  ** KEPT (pick-wt=2): 61 [] -v1_realset1($c12).
% 2.27/2.49  ** KEPT (pick-wt=2): 62 [] -v1_xboole_0($c13).
% 2.27/2.49  ** KEPT (pick-wt=2): 63 [] -v3_struct_0($c15).
% 2.27/2.49  ** KEPT (pick-wt=10): 64 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.27/2.49  ** KEPT (pick-wt=7): 65 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.27/2.49  ** KEPT (pick-wt=36): 66 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,B),D)| -m1_relset_1(C,k2_zfmisc_1(A,B),D)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|k2_binop_1(A,B,D,C,E,F)=k1_binop_1(C,E,F).
% 2.27/2.49  ** KEPT (pick-wt=23): 67 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k1_lattices(A,B,C).
% 2.27/2.49  ** KEPT (pick-wt=8): 68 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.27/2.49  ** KEPT (pick-wt=8): 69 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.27/2.49  ** KEPT (pick-wt=17): 70 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|B=C.
% 2.27/2.49  ** KEPT (pick-wt=17): 71 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|B!=C.
% 2.27/2.49  ** KEPT (pick-wt=10): 73 [copy,72,factor_simp] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))|r1_filter_2(A,B,B).
% 2.27/2.49  ** KEPT (pick-wt=18): 74 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|r1_filter_2(A,C,B).
% 2.27/2.49  ** KEPT (pick-wt=6): 75 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.27/2.49  ** KEPT (pick-wt=8): 76 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.27/2.49  ** KEPT (pick-wt=13): 77 [] -r2_hidden($f10(A,B),A)| -r2_hidden($f10(A,B),B)|A=B.
% 2.27/2.49  ** KEPT (pick-wt=7): 78 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.27/2.49  ** KEPT (pick-wt=7): 79 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.27/2.49  ** KEPT (pick-wt=10): 80 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.27/2.49  ** KEPT (pick-wt=9): 81 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.27/2.49  ** KEPT (pick-wt=5): 82 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.27/2.49  ** KEPT (pick-wt=5): 83 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.27/2.49  ** KEPT (pick-wt=7): 84 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.27/2.49  
% 2.27/2.49  ------------> process sos:
% 2.27/2.49  ** KEPT (piAlarm clock 
% 299.93/300.09  Otter interrupted
% 299.93/300.09  PROOF NOT FOUND
%------------------------------------------------------------------------------