TSTP Solution File: LAT297+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT297+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 13:02:25 EDT 2022

% Result   : Unknown 2.95s 3.09s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % 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 08:16:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.28/2.45  ----- Otter 3.3f, August 2004 -----
% 2.28/2.45  The process was started by sandbox on n013.cluster.edu,
% 2.28/2.45  Wed Jul 27 08:16:00 2022
% 2.28/2.45  The command was "./otter".  The process ID is 1156.
% 2.28/2.45  
% 2.28/2.45  set(prolog_style_variables).
% 2.28/2.45  set(auto).
% 2.28/2.45     dependent: set(auto1).
% 2.28/2.45     dependent: set(process_input).
% 2.28/2.45     dependent: clear(print_kept).
% 2.28/2.45     dependent: clear(print_new_demod).
% 2.28/2.45     dependent: clear(print_back_demod).
% 2.28/2.45     dependent: clear(print_back_sub).
% 2.28/2.45     dependent: set(control_memory).
% 2.28/2.45     dependent: assign(max_mem, 12000).
% 2.28/2.45     dependent: assign(pick_given_ratio, 4).
% 2.28/2.45     dependent: assign(stats_level, 1).
% 2.28/2.45     dependent: assign(max_seconds, 10800).
% 2.28/2.45  clear(print_given).
% 2.28/2.45  
% 2.28/2.45  formula_list(usable).
% 2.28/2.45  all A (A=A).
% 2.28/2.45  -(all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> ((all C (m1_subset_1(C,u1_struct_0(A))-> (all D (m1_subset_1(D,u1_struct_0(A))-> (r2_hidden(C,B)&r2_hidden(D,B)<->r2_hidden(k4_lattices(A,C,D),B))))))->m2_lattice4(B,A)))))).
% 2.28/2.45  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.28/2.45  all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.28/2.45  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))).
% 2.28/2.45  all A (-v1_realset1(A)-> -v1_xboole_0(A)).
% 2.28/2.45  all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.28/2.45  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)).
% 2.28/2.45  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))).
% 2.28/2.45  all A B (k2_tarski(A,B)=k2_tarski(B,A)).
% 2.28/2.45  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)).
% 2.28/2.45  all A B C (-v3_struct_0(A)&v6_lattices(A)&l1_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->k4_lattices(A,B,C)=k4_lattices(A,C,B)).
% 2.28/2.45  all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (m2_lattice4(B,A)<-> (all C (m1_subset_1(C,u1_struct_0(A))-> (all D (m1_subset_1(D,u1_struct_0(A))-> (r2_hidden(C,B)&r2_hidden(D,B)->r2_hidden(k4_lattices(A,C,D),B)&r2_hidden(k3_lattices(A,C,D),B)))))))))).
% 2.28/2.45  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))))).
% 2.28/2.45  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)))))).
% 2.28/2.45  all A (-v3_struct_0(A)&l1_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))->k2_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C)))))).
% 2.28/2.45  all A B (k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A))).
% 2.28/2.45  all A (-v3_struct_0(A)&l3_lattices(A)-> (v9_lattices(A)<-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))->k2_lattices(A,B,k1_lattices(A,B,C))=B)))))).
% 2.28/2.45  $T.
% 2.28/2.45  $T.
% 2.28/2.45  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))).
% 2.28/2.45  $T.
% 2.28/2.45  $T.
% 2.28/2.45  $T.
% 2.28/2.45  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)).
% 2.28/2.45  all A B C (-v3_struct_0(A)&l1_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A))).
% 2.28/2.45  $T.
% 2.28/2.45  $T.
% 2.28/2.45  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))).
% 2.28/2.45  all A B C (-v3_struct_0(A)&v6_lattices(A)&l1_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A))).
% 2.28/2.45  $T.
% 2.28/2.45  all A (l1_lattices(A)->l1_struct_0(A)).
% 2.28/2.45  $T.
% 2.28/2.45  all A (l2_lattices(A)->l1_struct_0(A)).
% 2.28/2.45  all A (l3_lattices(A)->l1_lattices(A)&l2_lattices(A)).
% 2.28/2.45  $T.
% 2.28/2.45  $T.
% 2.28/2.45  all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m2_lattice4(B,A)->m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))).
% 2.28/2.45  all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.28/2.45  all A (l1_lattices(A)->v1_funct_1(u1_lattices(A))&v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.28/2.45  $T.
% 2.28/2.45  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))).
% 2.28/2.45  exists A l1_lattices(A).
% 2.28/2.45  exists A l1_struct_0(A).
% 2.28/2.45  exists A l2_lattices(A).
% 2.28/2.45  exists A l3_lattices(A).
% 2.28/2.45  all A B exists C m1_relset_1(C,A,B).
% 2.28/2.45  all A exists B m1_subset_1(B,A).
% 2.28/2.45  all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m2_lattice4(B,A))).
% 2.28/2.45  all A B exists C m2_relset_1(C,A,B).
% 2.28/2.45  all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.28/2.45  all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.28/2.45  v1_xboole_0(k1_xboole_0).
% 2.28/2.45  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))).
% 2.28/2.45  all A (-v1_xboole_0(k1_tarski(A))).
% 2.28/2.45  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))).
% 2.28/2.45  all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))&v1_realset1(k1_tarski(A))).
% 2.28/2.45  all A B (-v1_xboole_0(k2_tarski(A,B))).
% 2.28/2.45  all A (-v3_struct_0(A)&v6_lattices(A)&l1_lattices(A)->v1_relat_1(u1_lattices(A))&v1_funct_1(u1_lattices(A))&v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&v1_binop_1(u1_lattices(A),u1_struct_0(A))&v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.28/2.45  all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.28/2.45  all A (-v3_struct_0(A)&v7_lattices(A)&l1_lattices(A)->v1_relat_1(u1_lattices(A))&v1_funct_1(u1_lattices(A))&v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&v2_binop_1(u1_lattices(A),u1_struct_0(A))&v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.28/2.45  exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.28/2.45  all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B (m2_lattice4(B,A)& -v1_xboole_0(B)))).
% 2.28/2.45  exists A (-v1_xboole_0(A)&v1_realset1(A)).
% 2.28/2.45  all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.28/2.45  exists A v1_xboole_0(A).
% 2.28/2.45  exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.28/2.45  exists A (-v1_xboole_0(A)& -v1_realset1(A)).
% 2.28/2.45  all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.28/2.45  exists A (-v1_xboole_0(A)).
% 2.28/2.45  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.28/2.45  exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.28/2.45  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)))).
% 2.28/2.45  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)).
% 2.28/2.45  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)).
% 2.28/2.45  all A B C (-v3_struct_0(A)&v6_lattices(A)&l1_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->k4_lattices(A,B,C)=k2_lattices(A,B,C)).
% 2.28/2.45  all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.28/2.45  all A B r1_tarski(A,A).
% 2.28/2.45  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.28/2.45  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.28/2.45  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.28/2.45  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.28/2.45  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.28/2.45  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.28/2.45  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.28/2.45  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.28/2.45  end_of_list.
% 2.28/2.45  
% 2.28/2.45  -------> usable clausifies to:
% 2.28/2.45  
% 2.28/2.45  list(usable).
% 2.28/2.45  0 [] A=A.
% 2.28/2.45  0 [] -v3_struct_0($c2).
% 2.28/2.45  0 [] v10_lattices($c2).
% 2.28/2.45  0 [] l3_lattices($c2).
% 2.28/2.45  0 [] m1_subset_1($c1,k1_zfmisc_1(u1_struct_0($c2))).
% 2.28/2.45  0 [] -m1_subset_1(C,u1_struct_0($c2))| -m1_subset_1(D,u1_struct_0($c2))| -r2_hidden(C,$c1)| -r2_hidden(D,$c1)|r2_hidden(k4_lattices($c2,C,D),$c1).
% 2.28/2.45  0 [] -m1_subset_1(C,u1_struct_0($c2))| -m1_subset_1(D,u1_struct_0($c2))|r2_hidden(C,$c1)| -r2_hidden(k4_lattices($c2,C,D),$c1).
% 2.28/2.45  0 [] -m1_subset_1(C,u1_struct_0($c2))| -m1_subset_1(D,u1_struct_0($c2))|r2_hidden(D,$c1)| -r2_hidden(k4_lattices($c2,C,D),$c1).
% 2.28/2.45  0 [] -m2_lattice4($c1,$c2).
% 2.28/2.45  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.28/2.45  0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.28/2.45  0 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.28/2.45  0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.28/2.45  0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.28/2.45  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).
% 2.28/2.45  0 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.28/2.45  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).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k4_lattices(A,C,B).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r2_hidden(C,B)| -r2_hidden(D,B)|r2_hidden(k4_lattices(A,C,D),B).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r2_hidden(C,B)| -r2_hidden(D,B)|r2_hidden(k3_lattices(A,C,D),B).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|m1_subset_1($f2(A,B),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|m1_subset_1($f1(A,B),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|r2_hidden($f2(A,B),B).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|r2_hidden($f1(A,B),B).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)| -r2_hidden(k4_lattices(A,$f2(A,B),$f1(A,B)),B)| -r2_hidden(k3_lattices(A,$f2(A,B),$f1(A,B)),B).
% 2.28/2.45  0 [] -v1_relat_1(A)| -v1_funct_1(A)|k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C)).
% 2.28/2.45  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).
% 2.28/2.45  0 [] v3_struct_0(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C).
% 2.28/2.45  0 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -l3_lattices(A)| -v9_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,B,k1_lattices(A,B,C))=B.
% 2.28/2.45  0 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|m1_subset_1($f4(A),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|m1_subset_1($f3(A),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|k2_lattices(A,$f4(A),k1_lattices(A,$f4(A),$f3(A)))!=$f4(A).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] $T.
% 2.28/2.45  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)).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] $T.
% 2.28/2.45  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).
% 2.28/2.45  0 [] v3_struct_0(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] $T.
% 2.28/2.45  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)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] -l1_lattices(A)|l1_struct_0(A).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] -l2_lattices(A)|l1_struct_0(A).
% 2.28/2.45  0 [] -l3_lattices(A)|l1_lattices(A).
% 2.28/2.45  0 [] -l3_lattices(A)|l2_lattices(A).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))).
% 2.28/2.45  0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.28/2.45  0 [] -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.45  0 [] -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.45  0 [] -l1_lattices(A)|m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.45  0 [] $T.
% 2.28/2.45  0 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.45  0 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.45  0 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.45  0 [] l1_lattices($c3).
% 2.28/2.45  0 [] l1_struct_0($c4).
% 2.28/2.45  0 [] l2_lattices($c5).
% 2.28/2.45  0 [] l3_lattices($c6).
% 2.28/2.45  0 [] m1_relset_1($f5(A,B),A,B).
% 2.28/2.45  0 [] m1_subset_1($f6(A),A).
% 2.28/2.45  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f7(A),A).
% 2.28/2.45  0 [] m2_relset_1($f8(A,B),A,B).
% 2.28/2.45  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.28/2.45  0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.28/2.45  0 [] v1_xboole_0(k1_xboole_0).
% 2.28/2.45  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.45  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)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.28/2.45  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)).
% 2.28/2.45  0 [] -v1_xboole_0(k1_tarski(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.45  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)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.28/2.45  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)).
% 2.28/2.45  0 [] -v1_xboole_0(k1_tarski(A)).
% 2.28/2.45  0 [] v1_finset_1(k1_tarski(A)).
% 2.28/2.45  0 [] v1_realset1(k1_tarski(A)).
% 2.28/2.45  0 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.28/2.45  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.28/2.46  0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.28/2.46  0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.46  0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v2_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.28/2.46  0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  0 [] v1_relat_1($c7).
% 2.28/2.46  0 [] v1_funct_1($c7).
% 2.28/2.46  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f9(A),A).
% 2.28/2.46  0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f9(A)).
% 2.28/2.46  0 [] -v1_xboole_0($c8).
% 2.28/2.46  0 [] v1_realset1($c8).
% 2.28/2.46  0 [] v1_xboole_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(A)).
% 2.28/2.46  0 [] v1_xboole_0(A)| -v1_xboole_0($f10(A)).
% 2.28/2.46  0 [] v1_xboole_0($c9).
% 2.28/2.46  0 [] v1_relat_1($c10).
% 2.28/2.46  0 [] v1_xboole_0($c10).
% 2.28/2.46  0 [] v1_funct_1($c10).
% 2.28/2.46  0 [] -v1_xboole_0($c11).
% 2.28/2.46  0 [] -v1_realset1($c11).
% 2.28/2.46  0 [] m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.28/2.46  0 [] v1_xboole_0($f11(A)).
% 2.28/2.46  0 [] -v1_xboole_0($c12).
% 2.28/2.46  0 [] v1_relat_1($c13).
% 2.28/2.46  0 [] v1_funct_1($c13).
% 2.28/2.46  0 [] v2_funct_1($c13).
% 2.28/2.46  0 [] l1_struct_0($c14).
% 2.28/2.46  0 [] -v3_struct_0($c14).
% 2.28/2.46  0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f12(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.28/2.46  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f12(A)).
% 2.28/2.46  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).
% 2.28/2.46  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).
% 2.28/2.46  0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k2_lattices(A,B,C).
% 2.28/2.46  0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.28/2.46  0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.28/2.46  0 [] r1_tarski(A,A).
% 2.28/2.46  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.28/2.46  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.28/2.46  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.28/2.46  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.28/2.46  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.28/2.46  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.28/2.46  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.28/2.46  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.28/2.46  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.28/2.46  end_of_list.
% 2.28/2.46  
% 2.28/2.46  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 2.28/2.46  
% 2.28/2.46  This ia a non-Horn set with equality.  The strategy will be
% 2.28/2.46  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.28/2.46  deletion, with positive clauses in sos and nonpositive
% 2.28/2.46  clauses in usable.
% 2.28/2.46  
% 2.28/2.46     dependent: set(knuth_bendix).
% 2.28/2.46     dependent: set(anl_eq).
% 2.28/2.46     dependent: set(para_from).
% 2.28/2.46     dependent: set(para_into).
% 2.28/2.46     dependent: clear(para_from_right).
% 2.28/2.46     dependent: clear(para_into_right).
% 2.28/2.46     dependent: set(para_from_vars).
% 2.28/2.46     dependent: set(eq_units_both_ways).
% 2.28/2.46     dependent: set(dynamic_demod_all).
% 2.28/2.46     dependent: set(dynamic_demod).
% 2.28/2.46     dependent: set(order_eq).
% 2.28/2.46     dependent: set(back_demod).
% 2.28/2.46     dependent: set(lrpo).
% 2.28/2.46     dependent: set(hyper_res).
% 2.28/2.46     dependent: set(unit_deletion).
% 2.28/2.46     dependent: set(factor).
% 2.28/2.46  
% 2.28/2.46  ------------> process usable:
% 2.28/2.46  ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c2).
% 2.28/2.46  ** KEPT (pick-wt=20): 2 [] -m1_subset_1(A,u1_struct_0($c2))| -m1_subset_1(B,u1_struct_0($c2))| -r2_hidden(A,$c1)| -r2_hidden(B,$c1)|r2_hidden(k4_lattices($c2,A,B),$c1).
% 2.28/2.46  ** KEPT (pick-wt=17): 3 [] -m1_subset_1(A,u1_struct_0($c2))| -m1_subset_1(B,u1_struct_0($c2))|r2_hidden(A,$c1)| -r2_hidden(k4_lattices($c2,A,B),$c1).
% 2.28/2.46  ** KEPT (pick-wt=17): 4 [] -m1_subset_1(A,u1_struct_0($c2))| -m1_subset_1(B,u1_struct_0($c2))|r2_hidden(B,$c1)| -r2_hidden(k4_lattices($c2,A,B),$c1).
% 2.28/2.46  ** KEPT (pick-wt=3): 5 [] -m2_lattice4($c1,$c2).
% 2.28/2.46  ** KEPT (pick-wt=6): 6 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.28/2.46  ** KEPT (pick-wt=4): 7 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 8 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 9 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 10 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 11 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 12 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 13 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 14 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 15 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 16 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.28/2.46  ** KEPT (pick-wt=18): 17 [] -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).
% 2.28/2.46  ** KEPT (pick-wt=23): 18 [] 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).
% 2.28/2.46  ** KEPT (pick-wt=23): 19 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k4_lattices(A,C,B).
% 2.28/2.46  ** KEPT (pick-wt=34): 20 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r2_hidden(C,B)| -r2_hidden(D,B)|r2_hidden(k4_lattices(A,C,D),B).
% 2.28/2.46  ** KEPT (pick-wt=34): 21 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r2_hidden(C,B)| -r2_hidden(D,B)|r2_hidden(k3_lattices(A,C,D),B).
% 2.28/2.46  ** KEPT (pick-wt=20): 22 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|m1_subset_1($f2(A,B),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=20): 23 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|m1_subset_1($f1(A,B),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=19): 24 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|r2_hidden($f2(A,B),B).
% 2.28/2.46  ** KEPT (pick-wt=19): 25 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)|r2_hidden($f1(A,B),B).
% 2.28/2.46  ** KEPT (pick-wt=34): 26 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|m2_lattice4(B,A)| -r2_hidden(k4_lattices(A,$f2(A,B),$f1(A,B)),B)| -r2_hidden(k3_lattices(A,$f2(A,B),$f1(A,B)),B).
% 2.28/2.46  ** KEPT (pick-wt=14): 28 [copy,27,flip.3] -v1_relat_1(A)| -v1_funct_1(A)|k1_funct_1(A,k4_tarski(B,C))=k1_binop_1(A,B,C).
% 2.28/2.46  ** KEPT (pick-wt=28): 29 [] 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).
% 2.28/2.46  ** KEPT (pick-wt=28): 30 [] v3_struct_0(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,B,C)=k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C).
% 2.28/2.46  ** KEPT (pick-wt=23): 31 [] v3_struct_0(A)| -l3_lattices(A)| -v9_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,B,k1_lattices(A,B,C))=B.
% 2.28/2.46  ** KEPT (pick-wt=11): 32 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|m1_subset_1($f4(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=11): 33 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|m1_subset_1($f3(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=19): 34 [] v3_struct_0(A)| -l3_lattices(A)|v9_lattices(A)|k2_lattices(A,$f4(A),k1_lattices(A,$f4(A),$f3(A)))!=$f4(A).
% 2.28/2.46  ** KEPT (pick-wt=19): 35 [] 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)).
% 2.28/2.46  ** KEPT (pick-wt=33): 36 [] 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).
% 2.28/2.46  ** KEPT (pick-wt=19): 37 [] v3_struct_0(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=21): 38 [] 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)).
% 2.28/2.46  ** KEPT (pick-wt=21): 39 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=4): 40 [] -l1_lattices(A)|l1_struct_0(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 41 [] -l2_lattices(A)|l1_struct_0(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 42 [] -l3_lattices(A)|l1_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 43 [] -l3_lattices(A)|l2_lattices(A).
% 2.28/2.46  ** KEPT (pick-wt=14): 44 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))).
% 2.28/2.46  ** KEPT (pick-wt=10): 45 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.28/2.46  ** KEPT (pick-wt=5): 46 [] -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.46  ** KEPT (pick-wt=12): 47 [] -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=12): 48 [] -l1_lattices(A)|m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=5): 49 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.46  ** KEPT (pick-wt=12): 50 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=12): 51 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=10): 52 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f7(A),A).
% 2.28/2.46  ** KEPT (pick-wt=7): 53 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 54 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.28/2.46  ** KEPT (pick-wt=9): 55 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.28/2.46    Following clause subsumed by 49 during input processing: 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.46    Following clause subsumed by 50 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)).
% 2.28/2.46  ** KEPT (pick-wt=11): 56 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=16): 57 [] 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)).
% 2.28/2.46  ** KEPT (pick-wt=3): 58 [] -v1_xboole_0(k1_tarski(A)).
% 2.28/2.46  ** KEPT (pick-wt=9): 59 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.28/2.46    Following clause subsumed by 49 during input processing: 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.28/2.46    Following clause subsumed by 50 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)).
% 2.28/2.46  ** KEPT (pick-wt=11): 60 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=16): 61 [] 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)).
% 2.28/2.46    Following clause subsumed by 58 during input processing: 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.28/2.46  ** KEPT (pick-wt=4): 62 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.28/2.46  ** KEPT (pick-wt=9): 63 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.28/2.46    Following clause subsumed by 46 during input processing: 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.46    Following clause subsumed by 47 during input processing: 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=11): 64 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=16): 65 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=8): 66 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.28/2.46  ** KEPT (pick-wt=9): 67 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.28/2.46    Following clause subsumed by 46 during input processing: 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.28/2.46    Following clause subsumed by 47 during input processing: 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=11): 68 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v2_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=16): 69 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.28/2.46  ** KEPT (pick-wt=10): 70 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f9(A),A).
% 2.28/2.46  ** KEPT (pick-wt=9): 71 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f9(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 72 [] -v1_xboole_0($c8).
% 2.28/2.46  ** KEPT (pick-wt=5): 73 [] v1_xboole_0(A)| -v1_xboole_0($f10(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 74 [] -v1_xboole_0($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 75 [] -v1_realset1($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 76 [] -v1_xboole_0($c12).
% 2.28/2.46  ** KEPT (pick-wt=2): 77 [] -v3_struct_0($c14).
% 2.28/2.46  ** KEPT (pick-wt=10): 78 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f12(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.28/2.46  ** KEPT (pick-wt=7): 79 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f12(A)).
% 2.28/2.46  ** KEPT (pick-wt=36): 80 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,B),D)| -m1_relset_1(C,k2_zfmisc_1(A,B),D)| -m1_subset_1(E,A)| -m1_subset_1(F,B)|k2_binop_1(A,B,D,C,E,F)=k1_binop_1(C,E,F).
% 2.28/2.46  ** KEPT (pick-wt=23): 81 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k1_lattices(A,B,C).
% 2.28/2.46  ** KEPT (pick-wt=23): 82 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k2_lattices(A,B,C).
% 2.28/2.46  ** KEPT (pick-wt=8): 83 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.28/2.46  ** KEPT (pick-wt=8): 84 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.28/2.46  ** KEPT (pick-wt=6): 85 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.28/2.46  ** KEPT (pick-wt=8): 86 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.28/2.46  ** KEPT (pick-wt=7): 87 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.28/2.46  ** KEPT (pick-wt=7): 88 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.28/2.46  ** KEPT (pick-wt=10): 89 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.28/2.46  ** KEPT (pick-wt=9): 90 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.28/2.46  ** KEPT (pick-wt=5): 91 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.28/2.46  ** KEPT (pick-wt=5): 92 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.28/2.46  ** KEPT (pick-wt=7): 93 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.28/2.46  
% 2.28/2.46  ------------> process sos:
% 2.28/2.46  ** KEPT (pick-wt=3): 116 [] A=A.
% 2.28/2.46  ** KEPT (pick-wt=2): 117 [] v10_lattices($c2).
% 2.28/2.46  ** KEPT (pick-wt=2): 118 [] l3_lattices($c2).
% 2.28/2.46  ** KEPT (pick-wt=5): 119 [] m1_subset_1($c1,k1_zfmisc_1(u1_struct_0($c2))).
% 2.28/2.46  ** KEPT (pick-wt=7): 120 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.28/2.46  ** KEPT (pick-wt=10): 121 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 122 [] l1_lattices($c3).
% 2.28/2.46  ** KEPT (pick-wt=2): 123 [] l1_struct_0($c4).
% 2.28/2.46  ** KEPT (pick-wt=2): 124 [] l2_lattices($c5).
% 2.28/2.46  ** KEPT (pick-wt=2): 125 [] l3_lattices($c6).
% 2.28/2.46  ** KEPT (pick-wt=6): 126 [] m1_relset_1($f5(A,B),A,B).
% 2.28/2.46  ** KEPT (pick-wt=4): 127 [] m1_subset_1($f6(A),A).
% 2.28/2.46  ** KEPT (pick-wt=6): 128 [] m2_relset_1($f8(A,B),A,B).
% 2.95/3.09  ** KEPT (pick-wt=2): 129 [] v1_xboole_0(k1_xboole_0).
% 2.95/3.09  ** KEPT (pick-wt=3): 130 [] v1_finset_1(k1_tarski(A)).
% 2.95/3.09  ** KEPT (pick-wt=3): 131 [] v1_realset1(k1_tarski(A)).
% 2.95/3.09  ** KEPT (pick-wt=2): 132 [] v1_relat_1($c7).
% 2.95/3.09  ** KEPT (pick-wt=2): 133 [] v1_funct_1($c7).
% 2.95/3.09  ** KEPT (pick-wt=2): 134 [] v1_realset1($c8).
% 2.95/3.09  ** KEPT (pick-wt=7): 135 [] v1_xboole_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(A)).
% 2.95/3.09  ** KEPT (pick-wt=2): 136 [] v1_xboole_0($c9).
% 2.95/3.09  ** KEPT (pick-wt=2): 137 [] v1_relat_1($c10).
% 2.95/3.09  ** KEPT (pick-wt=2): 138 [] v1_xboole_0($c10).
% 2.95/3.09  ** KEPT (pick-wt=2): 139 [] v1_funct_1($c10).
% 2.95/3.09  ** KEPT (pick-wt=5): 140 [] m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.95/3.09  ** KEPT (pick-wt=3): 141 [] v1_xboole_0($f11(A)).
% 2.95/3.09  ** KEPT (pick-wt=2): 142 [] v1_relat_1($c13).
% 2.95/3.09  ** KEPT (pick-wt=2): 143 [] v1_funct_1($c13).
% 2.95/3.09  ** KEPT (pick-wt=2): 144 [] v2_funct_1($c13).
% 2.95/3.09  ** KEPT (pick-wt=2): 145 [] l1_struct_0($c14).
% 2.95/3.09  ** KEPT (pick-wt=3): 146 [] r1_tarski(A,A).
% 2.95/3.09    Following clause subsumed by 116 during input processing: 0 [copy,116,flip.1] A=A.
% 2.95/3.09  116 back subsumes 115.
% 2.95/3.09  116 back subsumes 98.
% 2.95/3.09  116 back subsumes 97.
% 2.95/3.09    Following clause subsumed by 120 during input processing: 0 [copy,120,flip.1] k2_tarski(A,B)=k2_tarski(B,A).
% 2.95/3.09  ** KEPT (pick-wt=10): 147 [copy,121,flip.1] k2_tarski(k2_tarski(A,B),k1_tarski(A))=k4_tarski(A,B).
% 2.95/3.09    Following clause subsumed by 121 during input processing: 0 [copy,147,flip.1] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.95/3.09  
% 2.95/3.09  ======= end of input processing =======
% 2.95/3.09  
% 2.95/3.09  =========== start of search ===========
% 2.95/3.09  
% 2.95/3.09  
% 2.95/3.09  Resetting weight limit to 5.
% 2.95/3.09  
% 2.95/3.09  
% 2.95/3.09  Resetting weight limit to 5.
% 2.95/3.09  
% 2.95/3.09  sos_size=444
% 2.95/3.09  
% 2.95/3.09  Search stopped because sos empty.
% 2.95/3.09  
% 2.95/3.09  
% 2.95/3.09  Search stopped because sos empty.
% 2.95/3.09  
% 2.95/3.09  ============ end of search ============
% 2.95/3.09  
% 2.95/3.09  -------------- statistics -------------
% 2.95/3.09  clauses given                552
% 2.95/3.09  clauses generated          34837
% 2.95/3.09  clauses kept                 706
% 2.95/3.09  clauses forward subsumed     606
% 2.95/3.09  clauses back subsumed         20
% 2.95/3.09  Kbytes malloced             5859
% 2.95/3.09  
% 2.95/3.09  ----------- times (seconds) -----------
% 2.95/3.09  user CPU time          0.65          (0 hr, 0 min, 0 sec)
% 2.95/3.09  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.95/3.09  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.95/3.09  
% 2.95/3.09  Process 1156 finished Wed Jul 27 08:16:02 2022
% 2.95/3.09  Otter interrupted
% 2.95/3.09  PROOF NOT FOUND
%------------------------------------------------------------------------------