TSTP Solution File: LAT333+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT333+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:02:52 EDT 2022
% Result : Unknown 4.48s 4.70s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT333+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n024.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 08:16:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.31/2.52 ----- Otter 3.3f, August 2004 -----
% 2.31/2.52 The process was started by sandbox on n024.cluster.edu,
% 2.31/2.52 Wed Jul 27 08:16:25 2022
% 2.31/2.52 The command was "./otter". The process ID is 20254.
% 2.31/2.52
% 2.31/2.52 set(prolog_style_variables).
% 2.31/2.52 set(auto).
% 2.31/2.52 dependent: set(auto1).
% 2.31/2.52 dependent: set(process_input).
% 2.31/2.52 dependent: clear(print_kept).
% 2.31/2.52 dependent: clear(print_new_demod).
% 2.31/2.52 dependent: clear(print_back_demod).
% 2.31/2.52 dependent: clear(print_back_sub).
% 2.31/2.52 dependent: set(control_memory).
% 2.31/2.52 dependent: assign(max_mem, 12000).
% 2.31/2.52 dependent: assign(pick_given_ratio, 4).
% 2.31/2.52 dependent: assign(stats_level, 1).
% 2.31/2.52 dependent: assign(max_seconds, 10800).
% 2.31/2.52 clear(print_given).
% 2.31/2.52
% 2.31/2.52 formula_list(usable).
% 2.31/2.52 all A (A=A).
% 2.31/2.52 -(all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m2_filter_2(B,A)-> (v13_lattices(A)->v13_lattices(k23_filter_2(A,B))))))).
% 2.31/2.52 all A (l3_lattices(A)-> (v3_lattices(A)->A=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))).
% 2.31/2.52 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.31/2.52 all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.31/2.52 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))).
% 2.31/2.52 all A (-v1_realset1(A)-> -v1_xboole_0(A)).
% 2.31/2.52 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.31/2.52 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)).
% 2.31/2.52 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))).
% 2.31/2.52 all A B (k2_tarski(A,B)=k2_tarski(B,A)).
% 2.31/2.52 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)).
% 2.31/2.52 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)).
% 2.31/2.52 all A (-v3_struct_0(A)&l1_lattices(A)-> (v13_lattices(A)<-> (exists B (m1_subset_1(B,u1_struct_0(A))& (all C (m1_subset_1(C,u1_struct_0(A))->k2_lattices(A,B,C)=B&k2_lattices(A,C,B)=B)))))).
% 2.31/2.52 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))))).
% 2.31/2.52 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)))))).
% 2.31/2.52 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)))))).
% 2.31/2.52 all A (v1_relat_1(A)-> (all B (k1_realset1(A,B)=k7_relat_1(A,k2_zfmisc_1(B,B))))).
% 2.31/2.52 all A B (k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A))).
% 2.31/2.52 all A B C (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_funct_1(C)&v1_funct_2(C,k2_zfmisc_1(A,A),A)&m1_relset_1(C,k2_zfmisc_1(A,A),A)->v3_lattices(g3_lattices(A,B,C))&l3_lattices(g3_lattices(A,B,C))).
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 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))).
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 all A B (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)& -v1_xboole_0(B)&m2_lattice4(B,A)->m2_nat_lat(k23_filter_2(A,B),A)).
% 2.31/2.52 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)).
% 2.31/2.52 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))).
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 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))).
% 2.31/2.52 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))).
% 2.31/2.52 $T.
% 2.31/2.52 all A B (v1_relat_1(A)->v1_relat_1(k7_relat_1(A,B))).
% 2.31/2.52 all A (l1_lattices(A)->l1_struct_0(A)).
% 2.31/2.52 $T.
% 2.31/2.52 all A (l2_lattices(A)->l1_struct_0(A)).
% 2.31/2.52 all A (l3_lattices(A)->l1_lattices(A)&l2_lattices(A)).
% 2.31/2.52 $T.
% 2.31/2.52 $T.
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m2_filter_2(B,A)-> -v1_xboole_0(B)&m2_lattice4(B,A)))).
% 2.31/2.52 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)))))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m2_nat_lat(B,A)-> -v3_struct_0(B)&v10_lattices(B)&l3_lattices(B)))).
% 2.31/2.52 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.31/2.52 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))).
% 2.31/2.52 $T.
% 2.31/2.52 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))).
% 2.31/2.52 exists A l1_lattices(A).
% 2.31/2.52 exists A l1_struct_0(A).
% 2.31/2.52 exists A l2_lattices(A).
% 2.31/2.52 exists A l3_lattices(A).
% 2.31/2.52 all A B exists C m1_relset_1(C,A,B).
% 2.31/2.52 all A exists B m1_subset_1(B,A).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m2_filter_2(B,A))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m2_lattice4(B,A))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m2_nat_lat(B,A))).
% 2.31/2.52 all A B exists C m2_relset_1(C,A,B).
% 2.31/2.52 all A B (v1_relat_1(A)->v1_relat_1(k1_realset1(A,B))).
% 2.31/2.52 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.31/2.52 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.31/2.52 v1_xboole_0(k1_xboole_0).
% 2.31/2.52 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))).
% 2.31/2.52 all A B (v1_relat_1(A)&v1_funct_1(A)->v1_relat_1(k1_realset1(A,B))&v1_funct_1(k1_realset1(A,B))).
% 2.31/2.52 all A (-v1_xboole_0(k1_tarski(A))).
% 2.31/2.52 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))).
% 2.31/2.52 all A B C (-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_funct_1(C)&v1_funct_2(C,k2_zfmisc_1(A,A),A)&m1_relset_1(C,k2_zfmisc_1(A,A),A)-> -v3_struct_0(g3_lattices(A,B,C))&v3_lattices(g3_lattices(A,B,C))).
% 2.31/2.52 all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))&v1_realset1(k1_tarski(A))).
% 2.31/2.52 all A B (-v1_xboole_0(k2_tarski(A,B))).
% 2.31/2.52 all A B (v1_relat_1(A)&v1_funct_1(A)->v1_relat_1(k7_relat_1(A,B))&v1_funct_1(k7_relat_1(A,B))).
% 2.31/2.52 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))).
% 2.31/2.52 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.31/2.52 all A B (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)& -v1_xboole_0(B)&m2_lattice4(B,A)-> -v3_struct_0(k23_filter_2(A,B))&v3_lattices(k23_filter_2(A,B))&v4_lattices(k23_filter_2(A,B))&v5_lattices(k23_filter_2(A,B))&v6_lattices(k23_filter_2(A,B))&v7_lattices(k23_filter_2(A,B))&v8_lattices(k23_filter_2(A,B))&v9_lattices(k23_filter_2(A,B))&v10_lattices(k23_filter_2(A,B))).
% 2.31/2.52 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))).
% 2.31/2.52 all A B C (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_funct_1(C)&v1_funct_2(C,k2_zfmisc_1(A,A),A)&m1_relset_1(C,k2_zfmisc_1(A,A),A)-> (all D E F (g3_lattices(A,B,C)=g3_lattices(D,E,F)->A=D&B=E&C=F))).
% 2.31/2.52 exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B (m2_lattice4(B,A)& -v1_xboole_0(B)))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B (m2_nat_lat(B,A)& -v3_struct_0(B)&v3_lattices(B)&v4_lattices(B)&v5_lattices(B)&v6_lattices(B)&v7_lattices(B)&v8_lattices(B)&v9_lattices(B)&v10_lattices(B)))).
% 2.31/2.52 exists A (-v1_xboole_0(A)&v1_realset1(A)).
% 2.31/2.52 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.31/2.52 exists A v1_xboole_0(A).
% 2.31/2.52 exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.31/2.52 exists A (-v1_xboole_0(A)& -v1_realset1(A)).
% 2.31/2.52 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.31/2.52 exists A (-v1_xboole_0(A)).
% 2.31/2.52 exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.31/2.52 exists A (l3_lattices(A)&v3_lattices(A)).
% 2.31/2.52 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.31/2.52 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)))).
% 2.31/2.52 exists A (l3_lattices(A)& -v3_struct_0(A)&v3_lattices(A)).
% 2.31/2.52 exists A (l3_lattices(A)& -v3_struct_0(A)&v3_lattices(A)&v4_lattices(A)&v5_lattices(A)&v6_lattices(A)&v7_lattices(A)&v8_lattices(A)&v9_lattices(A)&v10_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 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)).
% 2.31/2.52 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)).
% 2.31/2.52 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.31/2.52 all A B r1_tarski(A,A).
% 2.31/2.52 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))-> (all D (m2_filter_2(D,A)-> (r2_hidden(B,D)->r2_hidden(k4_lattices(A,B,C),D)&r2_hidden(k4_lattices(A,C,B),D))))))))).
% 2.31/2.52 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.31/2.52 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.31/2.52 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.31/2.52 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m2_nat_lat(B,A)-> (all C (m1_subset_1(C,u1_struct_0(B))->m1_subset_1(C,u1_struct_0(A))))))).
% 2.31/2.52 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (-v1_xboole_0(B)&m2_lattice4(B,A)->u1_struct_0(k23_filter_2(A,B))=B&u2_lattices(k23_filter_2(A,B))=k1_realset1(u2_lattices(A),B)&u1_lattices(k23_filter_2(A,B))=k1_realset1(u1_lattices(A),B)))).
% 2.31/2.52 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (-v1_xboole_0(B)&m2_lattice4(B,A)-> (all C (m1_subset_1(C,u1_struct_0(A))-> (all D (m1_subset_1(D,u1_struct_0(A))-> (all E (m1_subset_1(E,u1_struct_0(k23_filter_2(A,B)))-> (all F (m1_subset_1(F,u1_struct_0(k23_filter_2(A,B)))-> (C=E&D=F->k3_lattices(A,C,D)=k3_lattices(k23_filter_2(A,B),E,F)&k4_lattices(A,C,D)=k4_lattices(k23_filter_2(A,B),E,F))))))))))))).
% 2.31/2.52 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.31/2.52 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.31/2.52 end_of_list.
% 2.31/2.52
% 2.31/2.52 -------> usable clausifies to:
% 2.31/2.52
% 2.31/2.52 list(usable).
% 2.31/2.52 0 [] A=A.
% 2.31/2.52 0 [] -v3_struct_0($c2).
% 2.31/2.52 0 [] v10_lattices($c2).
% 2.31/2.52 0 [] l3_lattices($c2).
% 2.31/2.52 0 [] m2_filter_2($c1,$c2).
% 2.31/2.52 0 [] v13_lattices($c2).
% 2.31/2.52 0 [] -v13_lattices(k23_filter_2($c2,$c1)).
% 2.31/2.52 0 [] -l3_lattices(A)| -v3_lattices(A)|A=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)).
% 2.31/2.52 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.31/2.52 0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.31/2.52 0 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.31/2.52 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.31/2.52 0 [] -l3_lattices(A)|v3_struct_0(A)| -v4_lattices(A)| -v5_lattices(A)| -v6_lattices(A)| -v7_lattices(A)| -v8_lattices(A)| -v9_lattices(A)|v10_lattices(A).
% 2.31/2.52 0 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k3_lattices(A,C,B).
% 2.31/2.52 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k4_lattices(A,C,B).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)|m1_subset_1($f1(A),u1_struct_0(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,$f1(A),C)=$f1(A).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)| -m1_subset_1(C,u1_struct_0(A))|k2_lattices(A,C,$f1(A))=$f1(A).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_lattices(A)|v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1($f2(A,B),u1_struct_0(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_lattices(A)|v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k2_lattices(A,B,$f2(A,B))!=B|k2_lattices(A,$f2(A,B),B)!=B.
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_funct_1(A)|k1_binop_1(A,B,C)=k1_funct_1(A,k4_tarski(B,C)).
% 2.31/2.52 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).
% 2.31/2.52 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).
% 2.31/2.52 0 [] -v1_relat_1(A)|k1_realset1(A,B)=k7_relat_1(A,k2_zfmisc_1(B,B)).
% 2.31/2.52 0 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|v3_lattices(g3_lattices(A,B,C)).
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|l3_lattices(g3_lattices(A,B,C)).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 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)).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|m2_nat_lat(k23_filter_2(A,B),A).
% 2.31/2.52 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).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 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)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] -v1_relat_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 2.31/2.52 0 [] -l1_lattices(A)|l1_struct_0(A).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] -l2_lattices(A)|l1_struct_0(A).
% 2.31/2.52 0 [] -l3_lattices(A)|l1_lattices(A).
% 2.31/2.52 0 [] -l3_lattices(A)|l2_lattices(A).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_filter_2(B,A)| -v1_xboole_0(B).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_filter_2(B,A)|m2_lattice4(B,A).
% 2.31/2.52 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))).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)| -v3_struct_0(B).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)|v10_lattices(B).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)|l3_lattices(B).
% 2.31/2.52 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.31/2.52 0 [] -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] $T.
% 2.31/2.52 0 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.52 0 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.52 0 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.52 0 [] l1_lattices($c3).
% 2.31/2.52 0 [] l1_struct_0($c4).
% 2.31/2.52 0 [] l2_lattices($c5).
% 2.31/2.52 0 [] l3_lattices($c6).
% 2.31/2.52 0 [] m1_relset_1($f3(A,B),A,B).
% 2.31/2.52 0 [] m1_subset_1($f4(A),A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_filter_2($f5(A),A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f6(A),A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_nat_lat($f7(A),A).
% 2.31/2.52 0 [] m2_relset_1($f8(A,B),A,B).
% 2.31/2.52 0 [] -v1_relat_1(A)|v1_relat_1(k1_realset1(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.31/2.52 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.31/2.52 0 [] v1_xboole_0(k1_xboole_0).
% 2.31/2.52 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k1_realset1(A,B)).
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k1_realset1(A,B)).
% 2.31/2.52 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.31/2.52 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)).
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)| -v3_struct_0(g3_lattices(A,B,C)).
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|v3_lattices(g3_lattices(A,B,C)).
% 2.31/2.52 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.31/2.52 0 [] v1_finset_1(k1_tarski(A)).
% 2.31/2.52 0 [] v1_realset1(k1_tarski(A)).
% 2.31/2.52 0 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 2.31/2.52 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k7_relat_1(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -v3_struct_0(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v3_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v4_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v5_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v6_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v7_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v8_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v9_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v10_lattices(k23_filter_2(A,B)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.52 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)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v2_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.31/2.52 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)).
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|g3_lattices(A,B,C)!=g3_lattices(D,E,F)|A=D.
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|g3_lattices(A,B,C)!=g3_lattices(D,E,F)|B=E.
% 2.31/2.52 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|g3_lattices(A,B,C)!=g3_lattices(D,E,F)|C=F.
% 2.31/2.52 0 [] v1_relat_1($c7).
% 2.31/2.52 0 [] v1_funct_1($c7).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f9(A),A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f9(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_nat_lat($f10(A),A).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v3_struct_0($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v3_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v4_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v5_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v6_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v7_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v8_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v9_lattices($f10(A)).
% 2.31/2.52 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v10_lattices($f10(A)).
% 2.31/2.52 0 [] -v1_xboole_0($c8).
% 2.31/2.52 0 [] v1_realset1($c8).
% 2.31/2.52 0 [] v1_xboole_0(A)|m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.31/2.52 0 [] v1_xboole_0(A)| -v1_xboole_0($f11(A)).
% 2.31/2.52 0 [] v1_xboole_0($c9).
% 2.31/2.52 0 [] v1_relat_1($c10).
% 2.31/2.52 0 [] v1_xboole_0($c10).
% 2.31/2.52 0 [] v1_funct_1($c10).
% 2.31/2.52 0 [] -v1_xboole_0($c11).
% 2.31/2.52 0 [] -v1_realset1($c11).
% 2.31/2.52 0 [] m1_subset_1($f12(A),k1_zfmisc_1(A)).
% 2.31/2.52 0 [] v1_xboole_0($f12(A)).
% 2.31/2.52 0 [] -v1_xboole_0($c12).
% 2.31/2.52 0 [] v1_relat_1($c13).
% 2.31/2.52 0 [] v1_funct_1($c13).
% 2.31/2.52 0 [] v2_funct_1($c13).
% 2.31/2.52 0 [] l3_lattices($c14).
% 2.31/2.52 0 [] v3_lattices($c14).
% 2.31/2.52 0 [] l1_struct_0($c15).
% 2.31/2.52 0 [] -v3_struct_0($c15).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f13(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.31/2.52 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f13(A)).
% 2.31/2.52 0 [] l3_lattices($c16).
% 2.31/2.52 0 [] -v3_struct_0($c16).
% 2.31/2.52 0 [] v3_lattices($c16).
% 2.31/2.52 0 [] l3_lattices($c17).
% 2.31/2.52 0 [] -v3_struct_0($c17).
% 2.31/2.52 0 [] v3_lattices($c17).
% 2.31/2.53 0 [] v4_lattices($c17).
% 2.31/2.53 0 [] v5_lattices($c17).
% 2.31/2.53 0 [] v6_lattices($c17).
% 2.31/2.53 0 [] v7_lattices($c17).
% 2.31/2.53 0 [] v8_lattices($c17).
% 2.31/2.53 0 [] v9_lattices($c17).
% 2.31/2.53 0 [] v10_lattices($c17).
% 2.31/2.53 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).
% 2.31/2.53 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).
% 2.31/2.53 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).
% 2.31/2.53 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.31/2.53 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.31/2.53 0 [] r1_tarski(A,A).
% 2.31/2.53 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m2_filter_2(D,A)| -r2_hidden(B,D)|r2_hidden(k4_lattices(A,B,C),D).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m2_filter_2(D,A)| -r2_hidden(B,D)|r2_hidden(k4_lattices(A,C,B),D).
% 2.31/2.53 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.31/2.53 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.31/2.53 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.31/2.53 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.31/2.53 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)| -m1_subset_1(C,u1_struct_0(B))|m1_subset_1(C,u1_struct_0(A)).
% 2.31/2.53 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u1_struct_0(k23_filter_2(A,B))=B.
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u2_lattices(k23_filter_2(A,B))=k1_realset1(u2_lattices(A),B).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u1_lattices(k23_filter_2(A,B))=k1_realset1(u1_lattices(A),B).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -m1_subset_1(E,u1_struct_0(k23_filter_2(A,B)))| -m1_subset_1(F,u1_struct_0(k23_filter_2(A,B)))|C!=E|D!=F|k3_lattices(A,C,D)=k3_lattices(k23_filter_2(A,B),E,F).
% 2.31/2.53 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -m1_subset_1(E,u1_struct_0(k23_filter_2(A,B)))| -m1_subset_1(F,u1_struct_0(k23_filter_2(A,B)))|C!=E|D!=F|k4_lattices(A,C,D)=k4_lattices(k23_filter_2(A,B),E,F).
% 2.31/2.53 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.31/2.53 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.31/2.53 end_of_list.
% 2.31/2.53
% 2.31/2.53 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 2.31/2.53
% 2.31/2.53 This ia a non-Horn set with equality. The strategy will be
% 2.31/2.53 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.31/2.53 deletion, with positive clauses in sos and nonpositive
% 2.31/2.53 clauses in usable.
% 2.31/2.53
% 2.31/2.53 dependent: set(knuth_bendix).
% 2.31/2.53 dependent: set(anl_eq).
% 2.31/2.53 dependent: set(para_from).
% 2.31/2.53 dependent: set(para_into).
% 2.31/2.53 dependent: clear(para_from_right).
% 2.31/2.53 dependent: clear(para_into_right).
% 2.31/2.53 dependent: set(para_from_vars).
% 2.31/2.53 dependent: set(eq_units_both_ways).
% 2.31/2.53 dependent: set(dynamic_demod_all).
% 2.31/2.53 dependent: set(dynamic_demod).
% 2.31/2.53 dependent: set(order_eq).
% 2.31/2.53 dependent: set(back_demod).
% 2.31/2.53 dependent: set(lrpo).
% 2.31/2.53 dependent: set(hyper_res).
% 2.31/2.53 dependent: set(unit_deletion).
% 2.31/2.53 dependent: set(factor).
% 2.31/2.53
% 2.31/2.53 ------------> process usable:
% 2.31/2.53 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c2).
% 2.31/2.53 ** KEPT (pick-wt=4): 2 [] -v13_lattices(k23_filter_2($c2,$c1)).
% 2.31/2.53 ** KEPT (pick-wt=13): 4 [copy,3,flip.3] -l3_lattices(A)| -v3_lattices(A)|g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=A.
% 2.31/2.53 ** KEPT (pick-wt=6): 5 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.31/2.53 ** KEPT (pick-wt=4): 6 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 7 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 8 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 9 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 10 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 11 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 12 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=4): 13 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 14 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.31/2.53 ** KEPT (pick-wt=8): 15 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.31/2.53 ** KEPT (pick-wt=18): 16 [] -l3_lattices(A)|v3_struct_0(A)| -v4_lattices(A)| -v5_lattices(A)| -v6_lattices(A)| -v7_lattices(A)| -v8_lattices(A)| -v9_lattices(A)|v10_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=23): 17 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k3_lattices(A,B,C)=k3_lattices(A,C,B).
% 2.31/2.53 ** KEPT (pick-wt=23): 18 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|k4_lattices(A,B,C)=k4_lattices(A,C,B).
% 2.31/2.53 ** KEPT (pick-wt=11): 19 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)|m1_subset_1($f1(A),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=18): 20 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k2_lattices(A,$f1(A),B)=$f1(A).
% 2.31/2.53 ** KEPT (pick-wt=18): 21 [] v3_struct_0(A)| -l1_lattices(A)| -v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k2_lattices(A,B,$f1(A))=$f1(A).
% 2.31/2.53 ** KEPT (pick-wt=16): 22 [] v3_struct_0(A)| -l1_lattices(A)|v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1($f2(A,B),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=26): 23 [] v3_struct_0(A)| -l1_lattices(A)|v13_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k2_lattices(A,B,$f2(A,B))!=B|k2_lattices(A,$f2(A,B),B)!=B.
% 2.31/2.53 ** KEPT (pick-wt=14): 25 [copy,24,flip.3] -v1_relat_1(A)| -v1_funct_1(A)|k1_funct_1(A,k4_tarski(B,C))=k1_binop_1(A,B,C).
% 2.31/2.53 ** 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).
% 2.31/2.53 ** KEPT (pick-wt=28): 27 [] 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).
% 2.31/2.53 ** KEPT (pick-wt=11): 29 [copy,28,flip.2] -v1_relat_1(A)|k7_relat_1(A,k2_zfmisc_1(B,B))=k1_realset1(A,B).
% 2.31/2.53 ** KEPT (pick-wt=33): 30 [] -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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(B,B),B)| -m1_relset_1(C,k2_zfmisc_1(B,B),B)|v3_lattices(g3_lattices(B,A,C)).
% 2.31/2.53 ** KEPT (pick-wt=33): 31 [] -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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(B,B),B)| -m1_relset_1(C,k2_zfmisc_1(B,B),B)|l3_lattices(g3_lattices(B,A,C)).
% 2.31/2.53 ** KEPT (pick-wt=19): 32 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=16): 33 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|m2_nat_lat(k23_filter_2(A,B),A).
% 2.31/2.53 ** KEPT (pick-wt=33): 34 [] 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).
% 2.31/2.53 ** KEPT (pick-wt=19): 35 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=21): 36 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=21): 37 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=6): 38 [] -v1_relat_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=4): 39 [] -l1_lattices(A)|l1_struct_0(A).
% 2.31/2.53 ** KEPT (pick-wt=4): 40 [] -l2_lattices(A)|l1_struct_0(A).
% 2.31/2.53 ** KEPT (pick-wt=4): 41 [] -l3_lattices(A)|l1_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=4): 42 [] -l3_lattices(A)|l2_lattices(A).
% 2.31/2.53 ** KEPT (pick-wt=11): 43 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_filter_2(B,A)| -v1_xboole_0(B).
% 2.31/2.53 ** KEPT (pick-wt=12): 44 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_filter_2(B,A)|m2_lattice4(B,A).
% 2.31/2.53 ** KEPT (pick-wt=14): 45 [] 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))).
% 2.31/2.53 ** KEPT (pick-wt=11): 46 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)| -v3_struct_0(B).
% 2.31/2.53 ** KEPT (pick-wt=11): 47 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)|v10_lattices(B).
% 2.31/2.53 ** KEPT (pick-wt=11): 48 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)|l3_lattices(B).
% 2.31/2.53 ** KEPT (pick-wt=10): 49 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.31/2.53 ** KEPT (pick-wt=5): 50 [] -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.53 ** KEPT (pick-wt=12): 51 [] -l1_lattices(A)|v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=12): 52 [] -l1_lattices(A)|m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=5): 53 [] -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.53 ** KEPT (pick-wt=12): 54 [] -l2_lattices(A)|v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=12): 55 [] -l2_lattices(A)|m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=10): 56 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_filter_2($f5(A),A).
% 2.31/2.53 ** KEPT (pick-wt=10): 57 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f6(A),A).
% 2.31/2.53 ** KEPT (pick-wt=10): 58 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_nat_lat($f7(A),A).
% 2.31/2.53 ** KEPT (pick-wt=6): 59 [] -v1_relat_1(A)|v1_relat_1(k1_realset1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=7): 60 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=3): 61 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.31/2.53 ** KEPT (pick-wt=9): 62 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.31/2.53 Following clause subsumed by 53 during input processing: 0 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.53 Following clause subsumed by 54 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)).
% 2.31/2.53 ** KEPT (pick-wt=11): 63 [] v3_struct_0(A)| -v4_lattices(A)| -l2_lattices(A)|v1_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=16): 64 [] 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)).
% 2.31/2.53 Following clause subsumed by 59 during input processing: 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k1_realset1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=8): 65 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k1_realset1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=3): 66 [] -v1_xboole_0(k1_tarski(A)).
% 2.31/2.53 ** KEPT (pick-wt=9): 67 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_relat_1(u2_lattices(A)).
% 2.31/2.53 Following clause subsumed by 53 during input processing: 0 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v1_funct_1(u2_lattices(A)).
% 2.31/2.53 Following clause subsumed by 54 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)).
% 2.31/2.53 ** KEPT (pick-wt=11): 68 [] v3_struct_0(A)| -v5_lattices(A)| -l2_lattices(A)|v2_binop_1(u2_lattices(A),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=16): 69 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=35): 70 [] 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)| -v3_struct_0(g3_lattices(A,B,C)).
% 2.31/2.53 Following clause subsumed by 30 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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(A,A),A)| -m1_relset_1(C,k2_zfmisc_1(A,A),A)|v3_lattices(g3_lattices(A,B,C)).
% 2.31/2.53 Following clause subsumed by 66 during input processing: 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.31/2.53 ** KEPT (pick-wt=4): 71 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.31/2.53 Following clause subsumed by 38 during input processing: 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=8): 72 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k7_relat_1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=9): 73 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.31/2.53 Following clause subsumed by 50 during input processing: 0 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.53 Following clause subsumed by 51 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)).
% 2.31/2.53 ** KEPT (pick-wt=11): 74 [] v3_struct_0(A)| -v6_lattices(A)| -l1_lattices(A)|v1_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=16): 75 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=8): 76 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 77 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -v3_struct_0(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 78 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v3_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 79 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v4_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 80 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v5_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 81 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v6_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 82 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v7_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 83 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v8_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 84 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v9_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=15): 85 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|v10_lattices(k23_filter_2(A,B)).
% 2.31/2.53 ** KEPT (pick-wt=9): 86 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_relat_1(u1_lattices(A)).
% 2.31/2.53 Following clause subsumed by 50 during input processing: 0 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v1_funct_1(u1_lattices(A)).
% 2.31/2.53 Following clause subsumed by 51 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)).
% 2.31/2.53 ** KEPT (pick-wt=11): 87 [] v3_struct_0(A)| -v7_lattices(A)| -l1_lattices(A)|v2_binop_1(u1_lattices(A),u1_struct_0(A)).
% 2.31/2.53 ** KEPT (pick-wt=16): 88 [] 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)).
% 2.31/2.53 ** KEPT (pick-wt=40): 89 [] -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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(B,B),B)| -m1_relset_1(C,k2_zfmisc_1(B,B),B)|g3_lattices(B,A,C)!=g3_lattices(D,E,F)|B=D.
% 2.31/2.53 ** KEPT (pick-wt=40): 90 [] -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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(B,B),B)| -m1_relset_1(C,k2_zfmisc_1(B,B),B)|g3_lattices(B,A,C)!=g3_lattices(D,E,F)|A=E.
% 2.31/2.54 ** KEPT (pick-wt=40): 91 [] -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_funct_1(C)| -v1_funct_2(C,k2_zfmisc_1(B,B),B)| -m1_relset_1(C,k2_zfmisc_1(B,B),B)|g3_lattices(B,A,C)!=g3_lattices(D,E,F)|C=F.
% 2.31/2.54 ** KEPT (pick-wt=10): 92 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f9(A),A).
% 2.31/2.54 ** KEPT (pick-wt=9): 93 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f9(A)).
% 2.31/2.54 ** KEPT (pick-wt=10): 94 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_nat_lat($f10(A),A).
% 2.31/2.54 ** KEPT (pick-wt=9): 95 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v3_struct_0($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 96 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v3_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 97 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v4_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 98 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v5_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 99 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v6_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 100 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v7_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 101 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v8_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 102 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v9_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=9): 103 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v10_lattices($f10(A)).
% 2.31/2.54 ** KEPT (pick-wt=2): 104 [] -v1_xboole_0($c8).
% 2.31/2.54 ** KEPT (pick-wt=5): 105 [] v1_xboole_0(A)| -v1_xboole_0($f11(A)).
% 2.31/2.54 ** KEPT (pick-wt=2): 106 [] -v1_xboole_0($c11).
% 2.31/2.54 ** KEPT (pick-wt=2): 107 [] -v1_realset1($c11).
% 2.31/2.54 ** KEPT (pick-wt=2): 108 [] -v1_xboole_0($c12).
% 2.31/2.54 ** KEPT (pick-wt=2): 109 [] -v3_struct_0($c15).
% 2.31/2.54 ** KEPT (pick-wt=10): 110 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f13(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.31/2.54 ** KEPT (pick-wt=7): 111 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f13(A)).
% 2.31/2.54 ** KEPT (pick-wt=2): 112 [] -v3_struct_0($c16).
% 2.31/2.54 ** KEPT (pick-wt=2): 113 [] -v3_struct_0($c17).
% 2.31/2.54 ** KEPT (pick-wt=36): 114 [] 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).
% 2.31/2.54 ** KEPT (pick-wt=23): 115 [] 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).
% 2.31/2.54 ** KEPT (pick-wt=23): 116 [] 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).
% 2.31/2.54 ** KEPT (pick-wt=8): 117 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.31/2.54 ** KEPT (pick-wt=8): 118 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.31/2.54 ** KEPT (pick-wt=6): 119 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.31/2.54 ** KEPT (pick-wt=26): 120 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m2_filter_2(D,A)| -r2_hidden(B,D)|r2_hidden(k4_lattices(A,B,C),D).
% 2.31/2.54 ** KEPT (pick-wt=26): 121 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m2_filter_2(D,A)| -r2_hidden(B,D)|r2_hidden(k4_lattices(A,C,B),D).
% 2.31/2.54 ** KEPT (pick-wt=8): 122 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.31/2.54 ** KEPT (pick-wt=7): 123 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.31/2.54 ** KEPT (pick-wt=7): 124 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.31/2.54 ** KEPT (pick-wt=10): 125 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.31/2.54 ** KEPT (pick-wt=9): 126 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.31/2.54 ** KEPT (pick-wt=17): 127 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_nat_lat(B,A)| -m1_subset_1(C,u1_struct_0(B))|m1_subset_1(C,u1_struct_0(A)).
% 2.31/2.54 ** KEPT (pick-wt=5): 128 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.31/2.54 ** KEPT (pick-wt=17): 129 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u1_struct_0(k23_filter_2(A,B))=B.
% 2.31/2.57 ** KEPT (pick-wt=20): 130 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u2_lattices(k23_filter_2(A,B))=k1_realset1(u2_lattices(A),B).
% 2.31/2.57 ** KEPT (pick-wt=20): 131 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)|u1_lattices(k23_filter_2(A,B))=k1_realset1(u1_lattices(A),B).
% 2.31/2.57 ** KEPT (pick-wt=48): 132 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -m1_subset_1(E,u1_struct_0(k23_filter_2(A,B)))| -m1_subset_1(F,u1_struct_0(k23_filter_2(A,B)))|C!=E|D!=F|k3_lattices(A,C,D)=k3_lattices(k23_filter_2(A,B),E,F).
% 2.31/2.57 ** KEPT (pick-wt=48): 133 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|v1_xboole_0(B)| -m2_lattice4(B,A)| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -m1_subset_1(E,u1_struct_0(k23_filter_2(A,B)))| -m1_subset_1(F,u1_struct_0(k23_filter_2(A,B)))|C!=E|D!=F|k4_lattices(A,C,D)=k4_lattices(k23_filter_2(A,B),E,F).
% 2.31/2.57 ** KEPT (pick-wt=5): 134 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.31/2.57 ** KEPT (pick-wt=7): 135 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.31/2.57
% 2.31/2.57 ------------> process sos:
% 2.31/2.57 ** KEPT (pick-wt=3): 166 [] A=A.
% 2.31/2.57 ** KEPT (pick-wt=2): 167 [] v10_lattices($c2).
% 2.31/2.57 ** KEPT (pick-wt=2): 168 [] l3_lattices($c2).
% 2.31/2.57 ** KEPT (pick-wt=3): 169 [] m2_filter_2($c1,$c2).
% 2.31/2.57 ** KEPT (pick-wt=2): 170 [] v13_lattices($c2).
% 2.31/2.57 ** KEPT (pick-wt=7): 171 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.31/2.57 ** KEPT (pick-wt=10): 172 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.31/2.57 ** KEPT (pick-wt=2): 173 [] l1_lattices($c3).
% 2.31/2.57 ** KEPT (pick-wt=2): 174 [] l1_struct_0($c4).
% 2.31/2.57 ** KEPT (pick-wt=2): 175 [] l2_lattices($c5).
% 2.31/2.57 ** KEPT (pick-wt=2): 176 [] l3_lattices($c6).
% 2.31/2.57 ** KEPT (pick-wt=6): 177 [] m1_relset_1($f3(A,B),A,B).
% 2.31/2.57 ** KEPT (pick-wt=4): 178 [] m1_subset_1($f4(A),A).
% 2.31/2.57 ** KEPT (pick-wt=6): 179 [] m2_relset_1($f8(A,B),A,B).
% 2.31/2.57 ** KEPT (pick-wt=2): 180 [] v1_xboole_0(k1_xboole_0).
% 2.31/2.57 ** KEPT (pick-wt=3): 181 [] v1_finset_1(k1_tarski(A)).
% 2.31/2.57 ** KEPT (pick-wt=3): 182 [] v1_realset1(k1_tarski(A)).
% 2.31/2.57 ** KEPT (pick-wt=2): 183 [] v1_relat_1($c7).
% 2.31/2.57 ** KEPT (pick-wt=2): 184 [] v1_funct_1($c7).
% 2.31/2.57 ** KEPT (pick-wt=2): 185 [] v1_realset1($c8).
% 2.31/2.57 ** KEPT (pick-wt=7): 186 [] v1_xboole_0(A)|m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.31/2.57 ** KEPT (pick-wt=2): 187 [] v1_xboole_0($c9).
% 2.31/2.57 ** KEPT (pick-wt=2): 188 [] v1_relat_1($c10).
% 2.31/2.57 ** KEPT (pick-wt=2): 189 [] v1_xboole_0($c10).
% 2.31/2.57 ** KEPT (pick-wt=2): 190 [] v1_funct_1($c10).
% 2.31/2.57 ** KEPT (pick-wt=5): 191 [] m1_subset_1($f12(A),k1_zfmisc_1(A)).
% 2.31/2.57 ** KEPT (pick-wt=3): 192 [] v1_xboole_0($f12(A)).
% 2.31/2.57 ** KEPT (pick-wt=2): 193 [] v1_relat_1($c13).
% 2.31/2.57 ** KEPT (pick-wt=2): 194 [] v1_funct_1($c13).
% 2.31/2.57 ** KEPT (pick-wt=2): 195 [] v2_funct_1($c13).
% 2.31/2.57 ** KEPT (pick-wt=2): 196 [] l3_lattices($c14).
% 2.31/2.57 ** KEPT (pick-wt=2): 197 [] v3_lattices($c14).
% 2.31/2.57 ** KEPT (pick-wt=2): 198 [] l1_struct_0($c15).
% 2.31/2.57 ** KEPT (pick-wt=2): 199 [] l3_lattices($c16).
% 2.31/2.57 ** KEPT (pick-wt=2): 200 [] v3_lattices($c16).
% 2.31/2.57 ** KEPT (pick-wt=2): 201 [] l3_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 202 [] v3_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 203 [] v4_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 204 [] v5_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 205 [] v6_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 206 [] v7_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 207 [] v8_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 208 [] v9_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=2): 209 [] v10_lattices($c17).
% 2.31/2.57 ** KEPT (pick-wt=3): 210 [] r1_tarski(A,A).
% 2.31/2.57 Following clause subsumed by 166 during input processing: 0 [copy,166,flip.1] A=A.
% 2.31/2.57 166 back subsumes 165.
% 2.31/2.57 166 back subsumes 138.
% 2.31/2.57 166 back subsumes 137.
% 2.31/2.57 Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] k2_tarski(A,B)=k2_tarski(B,A).
% 2.31/2.57 ** KEPT (pick-wt=10): 211 [copy,172,flip.1] k2_tarski(k2_tarski(A,B),k1_tarski(A))=k4_tarski(A,B).
% 2.31/2.57 Following clause subsumed by 172 during input processing: 0 [copy,211,flip.1] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.31/2.57
% 2.31/2.57 ======= end of input processing =======
% 2.31/2.57
% 2.31/2.57 =========== start of search ===========
% 2.31/2.57
% 2.31/2.57
% 2.31/2.57 Resetting weight limit to 2.
% 4.48/4.70
% 4.48/4.70
% 4.48/4.70 Resetting weight limit to 2.
% 4.48/4.70
% 4.48/4.70 sos_size=264
% 4.48/4.70
% 4.48/4.70 Search stopped because sos empty.
% 4.48/4.70
% 4.48/4.70
% 4.48/4.70 Search stopped because sos empty.
% 4.48/4.70
% 4.48/4.70 ============ end of search ============
% 4.48/4.70
% 4.48/4.70 -------------- statistics -------------
% 4.48/4.70 clauses given 301
% 4.48/4.70 clauses generated 44446
% 4.48/4.70 clauses kept 502
% 4.48/4.70 clauses forward subsumed 355
% 4.48/4.70 clauses back subsumed 4
% 4.48/4.70 Kbytes malloced 5859
% 4.48/4.70
% 4.48/4.70 ----------- times (seconds) -----------
% 4.48/4.70 user CPU time 2.18 (0 hr, 0 min, 2 sec)
% 4.48/4.70 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.48/4.70 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.48/4.70
% 4.48/4.70 Process 20254 finished Wed Jul 27 08:16:29 2022
% 4.48/4.70 Otter interrupted
% 4.48/4.70 PROOF NOT FOUND
%------------------------------------------------------------------------------