TSTP Solution File: LAT291+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:02:21 EDT 2022
% Result : Theorem 2.72s 2.92s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 24 ( 16 unt; 7 nHn; 23 RR)
% Number of literals : 56 ( 14 equ; 25 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ v3_struct_0(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(2,axiom,
~ v3_realset2(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(3,axiom,
k8_funct_2(u1_struct_0(dollar_c1),k1_zfmisc_1(k7_lopclset(dollar_c1)),k9_lopclset(dollar_c1),k6_lattices(dollar_c1)) != k7_lopclset(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(70,axiom,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| k7_lopclset(A) = a_1_1_lopclset(A) ),
file('LAT291+1.p',unknown),
[] ).
cnf(71,axiom,
( v3_struct_0(A)
| ~ l1_lattices(A)
| m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
file('LAT291+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ l3_lattices(A)
| l1_lattices(A) ),
file('LAT291+1.p',unknown),
[] ).
cnf(124,axiom,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| k9_lopclset(A) = k8_lopclset(A) ),
file('LAT291+1.p',unknown),
[] ).
cnf(128,axiom,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| ~ m1_subset_1(B,u1_struct_0(A))
| k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)) = k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) ),
file('LAT291+1.p',unknown),
[] ).
cnf(131,axiom,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A)) = k1_xboole_0 ),
file('LAT291+1.p',unknown),
[] ).
cnf(132,axiom,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| ~ l3_lattices(A)
| k7_lattices(A,k5_lattices(A)) = k6_lattices(A) ),
file('LAT291+1.p',unknown),
[] ).
cnf(133,plain,
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| ~ l3_lattices(A)
| k6_lattices(A) = k7_lattices(A,k5_lattices(A)) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[132])]),
[iquote('copy,132,flip.5')] ).
cnf(147,axiom,
v10_lattices(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(148,axiom,
v17_lattices(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(149,axiom,
l3_lattices(dollar_c1),
file('LAT291+1.p',unknown),
[] ).
cnf(202,axiom,
k4_xboole_0(A,k1_xboole_0) = A,
file('LAT291+1.p',unknown),
[] ).
cnf(212,plain,
k6_lattices(dollar_c1) = k7_lattices(dollar_c1,k5_lattices(dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[149,133,147,148]),1]),
[iquote('hyper,149,133,147,148,unit_del,1')] ).
cnf(213,plain,
k8_funct_2(u1_struct_0(dollar_c1),k1_zfmisc_1(k7_lopclset(dollar_c1)),k9_lopclset(dollar_c1),k5_lattices(dollar_c1)) = k1_xboole_0,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[149,131,147,148]),1,2]),
[iquote('hyper,149,131,147,148,unit_del,1,2')] ).
cnf(216,plain,
k9_lopclset(dollar_c1) = k8_lopclset(dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[149,124,147,148]),1,2]),
[iquote('hyper,149,124,147,148,unit_del,1,2')] ).
cnf(219,plain,
l1_lattices(dollar_c1),
inference(hyper,[status(thm)],[149,83]),
[iquote('hyper,149,83')] ).
cnf(226,plain,
k7_lopclset(dollar_c1) = a_1_1_lopclset(dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[149,70,147,148]),1,2]),
[iquote('hyper,149,70,147,148,unit_del,1,2')] ).
cnf(238,plain,
k8_funct_2(u1_struct_0(dollar_c1),k1_zfmisc_1(a_1_1_lopclset(dollar_c1)),k8_lopclset(dollar_c1),k7_lattices(dollar_c1,k5_lattices(dollar_c1))) != a_1_1_lopclset(dollar_c1),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),226,216,212,226]),
[iquote('back_demod,3,demod,226,216,212,226')] ).
cnf(240,plain,
k8_funct_2(u1_struct_0(dollar_c1),k1_zfmisc_1(a_1_1_lopclset(dollar_c1)),k8_lopclset(dollar_c1),k5_lattices(dollar_c1)) = k1_xboole_0,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[213]),226,216]),
[iquote('back_demod,213,demod,226,216')] ).
cnf(413,plain,
m1_subset_1(k5_lattices(dollar_c1),u1_struct_0(dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[219,71]),1]),
[iquote('hyper,219,71,unit_del,1')] ).
cnf(1049,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[413,128,147,148,149]),226,226,216,240,202,226,216]),1,2,238]),
[iquote('hyper,413,128,147,148,149,demod,226,226,216,240,202,226,216,unit_del,1,2,238')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 08:47:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.61/2.82 ----- Otter 3.3f, August 2004 -----
% 2.61/2.82 The process was started by sandbox on n025.cluster.edu,
% 2.61/2.82 Wed Jul 27 08:47:00 2022
% 2.61/2.82 The command was "./otter". The process ID is 2206.
% 2.61/2.82
% 2.61/2.82 set(prolog_style_variables).
% 2.61/2.82 set(auto).
% 2.61/2.82 dependent: set(auto1).
% 2.61/2.82 dependent: set(process_input).
% 2.61/2.82 dependent: clear(print_kept).
% 2.61/2.82 dependent: clear(print_new_demod).
% 2.61/2.82 dependent: clear(print_back_demod).
% 2.61/2.82 dependent: clear(print_back_sub).
% 2.61/2.82 dependent: set(control_memory).
% 2.61/2.82 dependent: assign(max_mem, 12000).
% 2.61/2.82 dependent: assign(pick_given_ratio, 4).
% 2.61/2.82 dependent: assign(stats_level, 1).
% 2.61/2.82 dependent: assign(max_seconds, 10800).
% 2.61/2.82 clear(print_given).
% 2.61/2.82
% 2.61/2.82 formula_list(usable).
% 2.61/2.82 all A (A=A).
% 2.61/2.82 -(all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A))=k7_lopclset(A))).
% 2.61/2.82 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.61/2.82 all A (v1_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)))).
% 2.61/2.82 all A (v2_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.61/2.82 all A (v3_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.61/2.82 all A (v4_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.61/2.82 all A (v5_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v4_ordinal2(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 2.61/2.82 all A (v1_xboole_0(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.61/2.82 all A (v1_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)))).
% 2.61/2.82 all A (v2_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)))).
% 2.61/2.82 all A (v3_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.61/2.82 all A (v4_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 2.61/2.82 all A (v1_xboole_0(A)->v1_finset_1(A)).
% 2.61/2.82 all A (v4_finsub_1(A)->v1_finsub_1(A)&v3_finsub_1(A)).
% 2.61/2.82 all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_partfun1(C,A,B)->v1_funct_1(C)&v1_funct_2(C,A,B))).
% 2.61/2.82 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))).
% 2.61/2.82 all A (v5_membered(A)->v4_membered(A)).
% 2.61/2.82 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.61/2.82 all A (v5_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)))).
% 2.61/2.82 all A (v1_finset_1(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_finset_1(B)))).
% 2.61/2.82 all A (v1_finsub_1(A)&v3_finsub_1(A)->v4_finsub_1(A)).
% 2.61/2.82 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))).
% 2.61/2.82 all A (v4_membered(A)->v3_membered(A)).
% 2.61/2.82 all A (l3_lattices(A)-> (-v3_struct_0(A)&v13_lattices(A)&v14_lattices(A)-> -v3_struct_0(A)&v15_lattices(A))).
% 2.61/2.82 all A (v3_membered(A)->v2_membered(A)).
% 2.61/2.82 all A (l3_lattices(A)-> (-v3_struct_0(A)&v15_lattices(A)-> -v3_struct_0(A)&v13_lattices(A)&v14_lattices(A))).
% 2.61/2.82 all A (v2_membered(A)->v1_membered(A)).
% 2.61/2.82 all A B (-v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.61/2.82 all A (l3_lattices(A)-> (-v3_struct_0(A)&v17_lattices(A)-> -v3_struct_0(A)&v11_lattices(A)&v13_lattices(A)&v14_lattices(A)&v15_lattices(A)&v16_lattices(A))).
% 2.61/2.82 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)& -v1_xboole_0(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.61/2.82 all A (l3_lattices(A)-> (-v3_struct_0(A)&v11_lattices(A)&v15_lattices(A)&v16_lattices(A)-> -v3_struct_0(A)&v17_lattices(A))).
% 2.61/2.82 all A (l3_lattices(A)-> (-v3_struct_0(A)&v10_lattices(A)&v11_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)&v12_lattices(A))).
% 2.61/2.82 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->k7_lopclset(A)=a_1_1_lopclset(A)).
% 2.61/2.83 $T.
% 2.61/2.83 $T.
% 2.61/2.83 $T.
% 2.61/2.83 $T.
% 2.61/2.83 $T.
% 2.61/2.83 all A (-v3_struct_0(A)&l1_lattices(A)->m1_subset_1(k5_lattices(A),u1_struct_0(A))).
% 2.61/2.83 all A (-v3_struct_0(A)&l2_lattices(A)->m1_subset_1(k6_lattices(A),u1_struct_0(A))).
% 2.61/2.83 all A B (-v3_struct_0(A)&l3_lattices(A)&m1_subset_1(B,u1_struct_0(A))->m1_subset_1(k7_lattices(A,B),u1_struct_0(A))).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))).
% 2.61/2.83 all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->m1_subset_1(k8_funct_2(A,B,C,D),B)).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->v1_relat_1(k8_lopclset(A))&v1_funct_1(k8_lopclset(A))).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->v1_funct_1(k9_lopclset(A))&v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)))&m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)))).
% 2.61/2.83 all A (l1_lattices(A)->l1_struct_0(A)).
% 2.61/2.83 $T.
% 2.61/2.83 all A (l2_lattices(A)->l1_struct_0(A)).
% 2.61/2.83 all A (l3_lattices(A)->l1_lattices(A)&l2_lattices(A)).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_filter_0(B,A)-> -v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))).
% 2.61/2.83 $T.
% 2.61/2.83 $T.
% 2.61/2.83 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.61/2.83 $T.
% 2.61/2.83 exists A l1_lattices(A).
% 2.61/2.83 exists A l1_struct_0(A).
% 2.61/2.83 exists A l2_lattices(A).
% 2.61/2.83 exists A l3_lattices(A).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m1_filter_0(B,A))).
% 2.61/2.83 all A B exists C m1_relset_1(C,A,B).
% 2.61/2.83 all A exists B m1_subset_1(B,A).
% 2.61/2.83 all A B exists C m2_relset_1(C,A,B).
% 2.61/2.83 all A B (v1_finset_1(A)->v1_finset_1(k4_xboole_0(A,B))).
% 2.61/2.83 all A B (v1_finset_1(A)&v1_finset_1(B)->v1_finset_1(k2_zfmisc_1(A,B))).
% 2.61/2.83 all A (-v1_xboole_0(k1_zfmisc_1(A))&v1_finsub_1(k1_zfmisc_1(A))&v3_finsub_1(k1_zfmisc_1(A))&v4_finsub_1(k1_zfmisc_1(A))).
% 2.61/2.83 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)-> -v1_xboole_0(k7_lopclset(A))).
% 2.61/2.83 all A B (v1_membered(A)->v1_membered(k4_xboole_0(A,B))).
% 2.61/2.83 all A B (v2_membered(A)->v1_membered(k4_xboole_0(A,B))&v2_membered(k4_xboole_0(A,B))).
% 2.61/2.83 all A B (v3_membered(A)->v1_membered(k4_xboole_0(A,B))&v2_membered(k4_xboole_0(A,B))&v3_membered(k4_xboole_0(A,B))).
% 2.61/2.83 all A B (v4_membered(A)->v1_membered(k4_xboole_0(A,B))&v2_membered(k4_xboole_0(A,B))&v3_membered(k4_xboole_0(A,B))&v4_membered(k4_xboole_0(A,B))).
% 2.61/2.83 all A B (v5_membered(A)->v1_membered(k4_xboole_0(A,B))&v2_membered(k4_xboole_0(A,B))&v3_membered(k4_xboole_0(A,B))&v4_membered(k4_xboole_0(A,B))&v5_membered(k4_xboole_0(A,B))).
% 2.61/2.83 v1_xboole_0(k1_xboole_0).
% 2.61/2.83 v1_membered(k1_xboole_0).
% 2.61/2.83 v2_membered(k1_xboole_0).
% 2.61/2.83 v3_membered(k1_xboole_0).
% 2.61/2.83 v4_membered(k1_xboole_0).
% 2.61/2.83 v5_membered(k1_xboole_0).
% 2.61/2.83 all A B (-v3_struct_0(B)&v10_lattices(B)&v17_lattices(B)& -v3_realset2(B)&l3_lattices(B)-> (r2_hidden(A,a_1_1_lopclset(B))<-> (exists C (m1_filter_0(C,B)&A=C&v1_filter_0(C,B))))).
% 2.61/2.83 exists A (-v1_xboole_0(A)&v1_finset_1(A)).
% 2.61/2.83 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)&v1_funct_2(C,A,B)).
% 2.61/2.83 exists 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)&v10_lattices(A)&v11_lattices(A)&v12_lattices(A)&v13_lattices(A)&v14_lattices(A)&v15_lattices(A)&v16_lattices(A)&v17_lattices(A)& -v3_realset2(A)).
% 2.61/2.83 exists A (-v1_xboole_0(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.61/2.83 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 2.61/2.83 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.61/2.83 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.61/2.83 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.61/2.83 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)))).
% 2.61/2.83 all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->k8_funct_2(A,B,C,D)=k1_funct_1(C,D)).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->k9_lopclset(A)=k8_lopclset(A)).
% 2.61/2.83 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.61/2.83 all A B r1_tarski(A,A).
% 2.61/2.83 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))->k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))=k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B))))).
% 2.61/2.83 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.61/2.83 all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)& -v3_realset2(A)&l3_lattices(A)->k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A))=k1_xboole_0).
% 2.61/2.83 all A (-v3_struct_0(A)&v10_lattices(A)&v17_lattices(A)&l3_lattices(A)->k7_lattices(A,k5_lattices(A))=k6_lattices(A)).
% 2.61/2.83 all A (k4_xboole_0(A,k1_xboole_0)=A).
% 2.61/2.83 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.61/2.83 all A (k4_xboole_0(k1_xboole_0,A)=k1_xboole_0).
% 2.61/2.83 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.61/2.83 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.61/2.83 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.61/2.83 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.61/2.83 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.61/2.83 end_of_list.
% 2.61/2.83
% 2.61/2.83 -------> usable clausifies to:
% 2.61/2.83
% 2.61/2.83 list(usable).
% 2.61/2.83 0 [] A=A.
% 2.61/2.83 0 [] -v3_struct_0($c1).
% 2.61/2.83 0 [] v10_lattices($c1).
% 2.61/2.83 0 [] v17_lattices($c1).
% 2.61/2.83 0 [] -v3_realset2($c1).
% 2.61/2.83 0 [] l3_lattices($c1).
% 2.61/2.83 0 [] k8_funct_2(u1_struct_0($c1),k1_zfmisc_1(k7_lopclset($c1)),k9_lopclset($c1),k6_lattices($c1))!=k7_lopclset($c1).
% 2.61/2.83 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.61/2.83 0 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v1_membered(A).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v2_membered(A).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v3_membered(A).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v4_membered(A).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v5_membered(A).
% 2.61/2.83 0 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.61/2.83 0 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.61/2.83 0 [] -v4_finsub_1(A)|v1_finsub_1(A).
% 2.61/2.83 0 [] -v4_finsub_1(A)|v3_finsub_1(A).
% 2.61/2.83 0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_partfun1(C,A,B)|v1_funct_2(C,A,B).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.61/2.83 0 [] -v5_membered(A)|v4_membered(A).
% 2.61/2.83 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.61/2.83 0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.61/2.83 0 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.61/2.83 0 [] -v1_finsub_1(A)| -v3_finsub_1(A)|v4_finsub_1(A).
% 2.61/2.83 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).
% 2.61/2.83 0 [] -v4_membered(A)|v3_membered(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v13_lattices(A)| -v14_lattices(A)|v15_lattices(A).
% 2.61/2.83 0 [] -v3_membered(A)|v2_membered(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v15_lattices(A)|v13_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v15_lattices(A)|v14_lattices(A).
% 2.61/2.83 0 [] -v2_membered(A)|v1_membered(A).
% 2.61/2.83 0 [] v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v11_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v13_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v14_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v15_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v16_lattices(A).
% 2.61/2.83 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.61/2.83 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v11_lattices(A)| -v15_lattices(A)| -v16_lattices(A)|v17_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v4_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v5_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v6_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v7_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v8_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v9_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v12_lattices(A).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k7_lopclset(A)=a_1_1_lopclset(A).
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] v3_struct_0(A)| -l1_lattices(A)|m1_subset_1(k5_lattices(A),u1_struct_0(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -l2_lattices(A)|m1_subset_1(k6_lattices(A),u1_struct_0(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k7_lattices(A,B),u1_struct_0(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))).
% 2.61/2.83 0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,B,C,D),B).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_relat_1(k8_lopclset(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_1(k8_lopclset(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_1(k9_lopclset(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))).
% 2.61/2.83 0 [] -l1_lattices(A)|l1_struct_0(A).
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] -l2_lattices(A)|l1_struct_0(A).
% 2.61/2.83 0 [] -l3_lattices(A)|l1_lattices(A).
% 2.61/2.83 0 [] -l3_lattices(A)|l2_lattices(A).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_filter_0(B,A)| -v1_xboole_0(B).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_filter_0(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))).
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.61/2.83 0 [] $T.
% 2.61/2.83 0 [] l1_lattices($c2).
% 2.61/2.83 0 [] l1_struct_0($c3).
% 2.61/2.83 0 [] l2_lattices($c4).
% 2.61/2.83 0 [] l3_lattices($c5).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m1_filter_0($f1(A),A).
% 2.61/2.83 0 [] m1_relset_1($f2(A,B),A,B).
% 2.61/2.83 0 [] m1_subset_1($f3(A),A).
% 2.61/2.83 0 [] m2_relset_1($f4(A,B),A,B).
% 2.61/2.83 0 [] -v1_finset_1(A)|v1_finset_1(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_zfmisc_1(A,B)).
% 2.61/2.83 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v1_finsub_1(k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v3_finsub_1(k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v4_finsub_1(k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -v1_xboole_0(k7_lopclset(A)).
% 2.61/2.83 0 [] -v1_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v2_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v2_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v3_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v3_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v3_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v4_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v4_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v4_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v4_membered(A)|v4_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v5_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v5_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v5_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v5_membered(A)|v4_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] -v5_membered(A)|v5_membered(k4_xboole_0(A,B)).
% 2.61/2.83 0 [] v1_xboole_0(k1_xboole_0).
% 2.61/2.83 0 [] v1_membered(k1_xboole_0).
% 2.61/2.83 0 [] v2_membered(k1_xboole_0).
% 2.61/2.83 0 [] v3_membered(k1_xboole_0).
% 2.61/2.83 0 [] v4_membered(k1_xboole_0).
% 2.61/2.83 0 [] v5_membered(k1_xboole_0).
% 2.61/2.83 0 [] v3_struct_0(B)| -v10_lattices(B)| -v17_lattices(B)|v3_realset2(B)| -l3_lattices(B)| -r2_hidden(A,a_1_1_lopclset(B))|m1_filter_0($f5(A,B),B).
% 2.61/2.83 0 [] v3_struct_0(B)| -v10_lattices(B)| -v17_lattices(B)|v3_realset2(B)| -l3_lattices(B)| -r2_hidden(A,a_1_1_lopclset(B))|A=$f5(A,B).
% 2.61/2.83 0 [] v3_struct_0(B)| -v10_lattices(B)| -v17_lattices(B)|v3_realset2(B)| -l3_lattices(B)| -r2_hidden(A,a_1_1_lopclset(B))|v1_filter_0($f5(A,B),B).
% 2.61/2.83 0 [] v3_struct_0(B)| -v10_lattices(B)| -v17_lattices(B)|v3_realset2(B)| -l3_lattices(B)|r2_hidden(A,a_1_1_lopclset(B))| -m1_filter_0(C,B)|A!=C| -v1_filter_0(C,B).
% 2.61/2.83 0 [] -v1_xboole_0($c6).
% 2.61/2.83 0 [] v1_finset_1($c6).
% 2.61/2.83 0 [] m1_relset_1($f6(A,B),A,B).
% 2.61/2.83 0 [] v1_relat_1($f6(A,B)).
% 2.61/2.83 0 [] v1_funct_1($f6(A,B)).
% 2.61/2.83 0 [] v1_funct_2($f6(A,B),A,B).
% 2.61/2.83 0 [] l3_lattices($c7).
% 2.61/2.83 0 [] -v3_struct_0($c7).
% 2.61/2.83 0 [] v4_lattices($c7).
% 2.61/2.83 0 [] v5_lattices($c7).
% 2.61/2.83 0 [] v6_lattices($c7).
% 2.61/2.83 0 [] v7_lattices($c7).
% 2.61/2.83 0 [] v8_lattices($c7).
% 2.61/2.83 0 [] v9_lattices($c7).
% 2.61/2.83 0 [] v10_lattices($c7).
% 2.61/2.83 0 [] v11_lattices($c7).
% 2.61/2.83 0 [] v12_lattices($c7).
% 2.61/2.83 0 [] v13_lattices($c7).
% 2.61/2.83 0 [] v14_lattices($c7).
% 2.61/2.83 0 [] v15_lattices($c7).
% 2.61/2.83 0 [] v16_lattices($c7).
% 2.61/2.83 0 [] v17_lattices($c7).
% 2.61/2.83 0 [] -v3_realset2($c7).
% 2.61/2.83 0 [] -v1_xboole_0($c8).
% 2.61/2.83 0 [] v1_membered($c8).
% 2.61/2.83 0 [] v2_membered($c8).
% 2.61/2.83 0 [] v3_membered($c8).
% 2.61/2.83 0 [] v4_membered($c8).
% 2.61/2.83 0 [] v5_membered($c8).
% 2.61/2.83 0 [] m1_relset_1($f7(A,B),A,B).
% 2.61/2.83 0 [] v1_relat_1($f7(A,B)).
% 2.61/2.83 0 [] v1_funct_1($f7(A,B)).
% 2.61/2.83 0 [] v1_xboole_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v1_xboole_0(A)| -v1_xboole_0($f8(A)).
% 2.61/2.83 0 [] v1_xboole_0(A)|v1_finset_1($f8(A)).
% 2.61/2.83 0 [] l1_struct_0($c9).
% 2.61/2.83 0 [] -v3_struct_0($c9).
% 2.61/2.83 0 [] v1_xboole_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.61/2.83 0 [] v1_xboole_0(A)| -v1_xboole_0($f9(A)).
% 2.61/2.83 0 [] v1_xboole_0(A)|v1_finset_1($f9(A)).
% 2.61/2.83 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.61/2.83 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f10(A)).
% 2.61/2.83 0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|k8_funct_2(A,B,C,D)=k1_funct_1(C,D).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k9_lopclset(A)=k8_lopclset(A).
% 2.61/2.83 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.61/2.83 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.61/2.83 0 [] r1_tarski(A,A).
% 2.61/2.83 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))=k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)).
% 2.61/2.83 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.61/2.83 0 [] r2_hidden($f11(A,B),A)|r2_hidden($f11(A,B),B)|A=B.
% 2.61/2.83 0 [] -r2_hidden($f11(A,B),A)| -r2_hidden($f11(A,B),B)|A=B.
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A))=k1_xboole_0.
% 2.61/2.83 0 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)| -l3_lattices(A)|k7_lattices(A,k5_lattices(A))=k6_lattices(A).
% 2.61/2.83 0 [] k4_xboole_0(A,k1_xboole_0)=A.
% 2.61/2.83 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.61/2.83 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.61/2.83 0 [] k4_xboole_0(k1_xboole_0,A)=k1_xboole_0.
% 2.61/2.83 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.61/2.83 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.61/2.83 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.61/2.83 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.61/2.83 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.61/2.83 end_of_list.
% 2.61/2.83
% 2.61/2.83 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.61/2.83
% 2.61/2.83 This ia a non-Horn set with equality. The strategy will be
% 2.61/2.83 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.61/2.83 deletion, with positive clauses in sos and nonpositive
% 2.61/2.83 clauses in usable.
% 2.61/2.83
% 2.61/2.83 dependent: set(knuth_bendix).
% 2.61/2.83 dependent: set(anl_eq).
% 2.61/2.83 dependent: set(para_from).
% 2.61/2.83 dependent: set(para_into).
% 2.61/2.83 dependent: clear(para_from_right).
% 2.61/2.83 dependent: clear(para_into_right).
% 2.61/2.83 dependent: set(para_from_vars).
% 2.61/2.83 dependent: set(eq_units_both_ways).
% 2.61/2.83 dependent: set(dynamic_demod_all).
% 2.61/2.83 dependent: set(dynamic_demod).
% 2.61/2.83 dependent: set(order_eq).
% 2.61/2.83 dependent: set(back_demod).
% 2.61/2.83 dependent: set(lrpo).
% 2.61/2.83 dependent: set(hyper_res).
% 2.61/2.83 dependent: set(unit_deletion).
% 2.61/2.83 dependent: set(factor).
% 2.61/2.83
% 2.61/2.83 ------------> process usable:
% 2.61/2.83 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c1).
% 2.61/2.83 ** KEPT (pick-wt=2): 2 [] -v3_realset2($c1).
% 2.61/2.83 ** KEPT (pick-wt=13): 3 [] k8_funct_2(u1_struct_0($c1),k1_zfmisc_1(k7_lopclset($c1)),k9_lopclset($c1),k6_lattices($c1))!=k7_lopclset($c1).
% 2.61/2.83 ** KEPT (pick-wt=6): 4 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.61/2.83 ** KEPT (pick-wt=7): 5 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 6 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 7 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 8 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 9 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 10 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 12 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 13 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 14 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 17 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 18 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.61/2.83 ** KEPT (pick-wt=7): 19 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.61/2.83 ** KEPT (pick-wt=4): 20 [] -v1_xboole_0(A)|v1_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 21 [] -v1_xboole_0(A)|v2_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 22 [] -v1_xboole_0(A)|v3_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 23 [] -v1_xboole_0(A)|v4_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 24 [] -v1_xboole_0(A)|v5_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 25 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 26 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 27 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 28 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 29 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 30 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 32 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 33 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 34 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=4): 35 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 36 [] -v4_finsub_1(A)|v1_finsub_1(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 37 [] -v4_finsub_1(A)|v3_finsub_1(A).
% 2.61/2.83 ** KEPT (pick-wt=14): 38 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_partfun1(A,B,C)|v1_funct_2(A,B,C).
% 2.61/2.83 ** KEPT (pick-wt=8): 39 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 40 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 41 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 42 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 43 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 44 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 45 [] -v5_membered(A)|v4_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 46 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 47 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 48 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 49 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 50 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 51 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.61/2.83 ** KEPT (pick-wt=8): 52 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.61/2.83 ** KEPT (pick-wt=6): 53 [] -v1_finsub_1(A)| -v3_finsub_1(A)|v4_finsub_1(A).
% 2.61/2.83 ** KEPT (pick-wt=18): 54 [] -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).
% 2.61/2.83 ** KEPT (pick-wt=4): 55 [] -v4_membered(A)|v3_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=10): 56 [] -l3_lattices(A)|v3_struct_0(A)| -v13_lattices(A)| -v14_lattices(A)|v15_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 57 [] -v3_membered(A)|v2_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 58 [] -l3_lattices(A)|v3_struct_0(A)| -v15_lattices(A)|v13_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 59 [] -l3_lattices(A)|v3_struct_0(A)| -v15_lattices(A)|v14_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 60 [] -v2_membered(A)|v1_membered(A).
% 2.61/2.83 ** KEPT (pick-wt=16): 61 [] v1_xboole_0(A)| -m1_relset_1(B,C,A)| -v1_funct_1(B)| -v1_funct_2(B,C,A)|v1_partfun1(B,C,A).
% 2.61/2.83 ** KEPT (pick-wt=8): 62 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v11_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 63 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v13_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 64 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v14_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 65 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v15_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=8): 66 [] -l3_lattices(A)|v3_struct_0(A)| -v17_lattices(A)|v16_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=16): 67 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.61/2.83 Following clause subsumed by 61 during input processing: 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.61/2.83 ** KEPT (pick-wt=12): 68 [] -l3_lattices(A)|v3_struct_0(A)| -v11_lattices(A)| -v15_lattices(A)| -v16_lattices(A)|v17_lattices(A).
% 2.61/2.83 Following clause subsumed by 39 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v4_lattices(A).
% 2.61/2.83 Following clause subsumed by 40 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v5_lattices(A).
% 2.61/2.83 Following clause subsumed by 41 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v6_lattices(A).
% 2.61/2.83 Following clause subsumed by 42 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v7_lattices(A).
% 2.61/2.83 Following clause subsumed by 43 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v8_lattices(A).
% 2.61/2.83 Following clause subsumed by 44 during input processing: 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v9_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=10): 69 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)| -v11_lattices(A)|v12_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=15): 70 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k7_lopclset(A)=a_1_1_lopclset(A).
% 2.61/2.83 ** KEPT (pick-wt=9): 71 [] v3_struct_0(A)| -l1_lattices(A)|m1_subset_1(k5_lattices(A),u1_struct_0(A)).
% 2.61/2.83 ** KEPT (pick-wt=9): 72 [] v3_struct_0(A)| -l2_lattices(A)|m1_subset_1(k6_lattices(A),u1_struct_0(A)).
% 2.61/2.83 ** KEPT (pick-wt=14): 73 [] v3_struct_0(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|m1_subset_1(k7_lattices(A,B),u1_struct_0(A)).
% 2.61/2.83 ** KEPT (pick-wt=17): 74 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))).
% 2.61/2.83 ** KEPT (pick-wt=22): 75 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,C,B,D),C).
% 2.61/2.83 ** KEPT (pick-wt=13): 76 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_relat_1(k8_lopclset(A)).
% 2.61/2.83 ** KEPT (pick-wt=13): 77 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_1(k8_lopclset(A)).
% 2.61/2.83 ** KEPT (pick-wt=13): 78 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_1(k9_lopclset(A)).
% 2.61/2.83 ** KEPT (pick-wt=18): 79 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))).
% 2.61/2.83 ** KEPT (pick-wt=18): 80 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))).
% 2.61/2.83 ** KEPT (pick-wt=4): 81 [] -l1_lattices(A)|l1_struct_0(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 82 [] -l2_lattices(A)|l1_struct_0(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 83 [] -l3_lattices(A)|l1_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=4): 84 [] -l3_lattices(A)|l2_lattices(A).
% 2.61/2.83 ** KEPT (pick-wt=11): 85 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_filter_0(B,A)| -v1_xboole_0(B).
% 2.61/2.83 ** KEPT (pick-wt=14): 86 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_filter_0(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))).
% 2.61/2.83 ** KEPT (pick-wt=10): 87 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.61/2.83 ** KEPT (pick-wt=10): 88 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m1_filter_0($f1(A),A).
% 2.61/2.83 ** KEPT (pick-wt=6): 89 [] -v1_finset_1(A)|v1_finset_1(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=8): 90 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_zfmisc_1(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=3): 91 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.61/2.83 ** KEPT (pick-wt=7): 92 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.61/2.83 ** KEPT (pick-wt=13): 93 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -v1_xboole_0(k7_lopclset(A)).
% 2.61/2.83 ** KEPT (pick-wt=6): 94 [] -v1_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 95 [] -v2_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 96 [] -v2_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 97 [] -v3_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 98 [] -v3_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 99 [] -v3_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 100 [] -v4_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.83 ** KEPT (pick-wt=6): 101 [] -v4_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 102 [] -v4_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 103 [] -v4_membered(A)|v4_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 104 [] -v5_membered(A)|v1_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 105 [] -v5_membered(A)|v2_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 106 [] -v5_membered(A)|v3_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 107 [] -v5_membered(A)|v4_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 108 [] -v5_membered(A)|v5_membered(k4_xboole_0(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=19): 109 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -r2_hidden(B,a_1_1_lopclset(A))|m1_filter_0($f5(B,A),A).
% 2.61/2.84 ** KEPT (pick-wt=19): 111 [copy,110,flip.7] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -r2_hidden(B,a_1_1_lopclset(A))|$f5(B,A)=B.
% 2.61/2.84 ** KEPT (pick-wt=19): 112 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -r2_hidden(B,a_1_1_lopclset(A))|v1_filter_0($f5(B,A),A).
% 2.61/2.84 ** KEPT (pick-wt=23): 113 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|r2_hidden(B,a_1_1_lopclset(A))| -m1_filter_0(C,A)|B!=C| -v1_filter_0(C,A).
% 2.61/2.84 ** KEPT (pick-wt=2): 114 [] -v1_xboole_0($c6).
% 2.61/2.84 ** KEPT (pick-wt=2): 115 [] -v3_struct_0($c7).
% 2.61/2.84 ** KEPT (pick-wt=2): 116 [] -v3_realset2($c7).
% 2.61/2.84 ** KEPT (pick-wt=2): 117 [] -v1_xboole_0($c8).
% 2.61/2.84 ** KEPT (pick-wt=5): 118 [] v1_xboole_0(A)| -v1_xboole_0($f8(A)).
% 2.61/2.84 ** KEPT (pick-wt=2): 119 [] -v3_struct_0($c9).
% 2.61/2.84 ** KEPT (pick-wt=5): 120 [] v1_xboole_0(A)| -v1_xboole_0($f9(A)).
% 2.61/2.84 ** KEPT (pick-wt=10): 121 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.61/2.84 ** KEPT (pick-wt=7): 122 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f10(A)).
% 2.61/2.84 ** KEPT (pick-wt=24): 123 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|k8_funct_2(A,C,B,D)=k1_funct_1(B,D).
% 2.61/2.84 ** KEPT (pick-wt=15): 124 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k9_lopclset(A)=k8_lopclset(A).
% 2.61/2.84 ** KEPT (pick-wt=8): 125 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.61/2.84 ** KEPT (pick-wt=8): 126 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.61/2.84 ** KEPT (pick-wt=6): 127 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.61/2.84 ** KEPT (pick-wt=38): 128 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))=k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=8): 129 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.61/2.84 ** KEPT (pick-wt=13): 130 [] -r2_hidden($f11(A,B),A)| -r2_hidden($f11(A,B),B)|A=B.
% 2.61/2.84 ** KEPT (pick-wt=22): 131 [] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)|v3_realset2(A)| -l3_lattices(A)|k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A))=k1_xboole_0.
% 2.61/2.84 ** KEPT (pick-wt=15): 133 [copy,132,flip.5] v3_struct_0(A)| -v10_lattices(A)| -v17_lattices(A)| -l3_lattices(A)|k6_lattices(A)=k7_lattices(A,k5_lattices(A)).
% 2.61/2.84 ** KEPT (pick-wt=7): 134 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.61/2.84 ** KEPT (pick-wt=7): 135 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.61/2.84 ** KEPT (pick-wt=10): 136 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.61/2.84 ** KEPT (pick-wt=9): 137 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.61/2.84 ** KEPT (pick-wt=5): 138 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.61/2.84 ** KEPT (pick-wt=5): 139 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.61/2.84 ** KEPT (pick-wt=7): 140 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.61/2.84
% 2.61/2.84 ------------> process sos:
% 2.61/2.84 ** KEPT (pick-wt=3): 146 [] A=A.
% 2.61/2.84 ** KEPT (pick-wt=2): 147 [] v10_lattices($c1).
% 2.61/2.84 ** KEPT (pick-wt=2): 148 [] v17_lattices($c1).
% 2.61/2.84 ** KEPT (pick-wt=2): 149 [] l3_lattices($c1).
% 2.61/2.84 ** KEPT (pick-wt=2): 150 [] l1_lattices($c2).
% 2.61/2.84 ** KEPT (pick-wt=2): 151 [] l1_struct_0($c3).
% 2.61/2.84 ** KEPT (pick-wt=2): 152 [] l2_lattices($c4).
% 2.61/2.84 ** KEPT (pick-wt=2): 153 [] l3_lattices($c5).
% 2.72/2.92 ** KEPT (pick-wt=6): 154 [] m1_relset_1($f2(A,B),A,B).
% 2.72/2.92 ** KEPT (pick-wt=4): 155 [] m1_subset_1($f3(A),A).
% 2.72/2.92 ** KEPT (pick-wt=6): 156 [] m2_relset_1($f4(A,B),A,B).
% 2.72/2.92 ** KEPT (pick-wt=3): 157 [] v1_finsub_1(k1_zfmisc_1(A)).
% 2.72/2.92 ** KEPT (pick-wt=3): 158 [] v3_finsub_1(k1_zfmisc_1(A)).
% 2.72/2.92 ** KEPT (pick-wt=3): 159 [] v4_finsub_1(k1_zfmisc_1(A)).
% 2.72/2.92 ** KEPT (pick-wt=2): 160 [] v1_xboole_0(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 161 [] v1_membered(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 162 [] v2_membered(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 163 [] v3_membered(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 164 [] v4_membered(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 165 [] v5_membered(k1_xboole_0).
% 2.72/2.92 ** KEPT (pick-wt=2): 166 [] v1_finset_1($c6).
% 2.72/2.92 ** KEPT (pick-wt=6): 167 [] m1_relset_1($f6(A,B),A,B).
% 2.72/2.92 ** KEPT (pick-wt=4): 168 [] v1_relat_1($f6(A,B)).
% 2.72/2.92 ** KEPT (pick-wt=4): 169 [] v1_funct_1($f6(A,B)).
% 2.72/2.92 ** KEPT (pick-wt=6): 170 [] v1_funct_2($f6(A,B),A,B).
% 2.72/2.92 ** KEPT (pick-wt=2): 171 [] l3_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 172 [] v4_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 173 [] v5_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 174 [] v6_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 175 [] v7_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 176 [] v8_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 177 [] v9_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 178 [] v10_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 179 [] v11_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 180 [] v12_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 181 [] v13_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 182 [] v14_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 183 [] v15_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 184 [] v16_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 185 [] v17_lattices($c7).
% 2.72/2.92 ** KEPT (pick-wt=2): 186 [] v1_membered($c8).
% 2.72/2.92 ** KEPT (pick-wt=2): 187 [] v2_membered($c8).
% 2.72/2.92 ** KEPT (pick-wt=2): 188 [] v3_membered($c8).
% 2.72/2.92 ** KEPT (pick-wt=2): 189 [] v4_membered($c8).
% 2.72/2.92 ** KEPT (pick-wt=2): 190 [] v5_membered($c8).
% 2.72/2.92 ** KEPT (pick-wt=6): 191 [] m1_relset_1($f7(A,B),A,B).
% 2.72/2.92 ** KEPT (pick-wt=4): 192 [] v1_relat_1($f7(A,B)).
% 2.72/2.92 ** KEPT (pick-wt=4): 193 [] v1_funct_1($f7(A,B)).
% 2.72/2.92 ** KEPT (pick-wt=7): 194 [] v1_xboole_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(A)).
% 2.72/2.92 ** KEPT (pick-wt=5): 195 [] v1_xboole_0(A)|v1_finset_1($f8(A)).
% 2.72/2.92 ** KEPT (pick-wt=2): 196 [] l1_struct_0($c9).
% 2.72/2.92 ** KEPT (pick-wt=7): 197 [] v1_xboole_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.72/2.92 ** KEPT (pick-wt=5): 198 [] v1_xboole_0(A)|v1_finset_1($f9(A)).
% 2.72/2.92 ** KEPT (pick-wt=3): 199 [] r1_tarski(A,A).
% 2.72/2.92 ** KEPT (pick-wt=13): 200 [] r2_hidden($f11(A,B),A)|r2_hidden($f11(A,B),B)|A=B.
% 2.72/2.92 ** KEPT (pick-wt=5): 201 [] k4_xboole_0(A,k1_xboole_0)=A.
% 2.72/2.92 ---> New Demodulator: 202 [new_demod,201] k4_xboole_0(A,k1_xboole_0)=A.
% 2.72/2.92 ** KEPT (pick-wt=5): 203 [] k4_xboole_0(k1_xboole_0,A)=k1_xboole_0.
% 2.72/2.92 ---> New Demodulator: 204 [new_demod,203] k4_xboole_0(k1_xboole_0,A)=k1_xboole_0.
% 2.72/2.92 Following clause subsumed by 146 during input processing: 0 [copy,146,flip.1] A=A.
% 2.72/2.92 146 back subsumes 145.
% 2.72/2.92 146 back subsumes 144.
% 2.72/2.92 >>>> Starting back demodulation with 202.
% 2.72/2.92 >>>> Starting back demodulation with 204.
% 2.72/2.92
% 2.72/2.92 ======= end of input processing =======
% 2.72/2.92
% 2.72/2.92 =========== start of search ===========
% 2.72/2.92
% 2.72/2.92
% 2.72/2.92 Resetting weight limit to 4.
% 2.72/2.92
% 2.72/2.92
% 2.72/2.92 Resetting weight limit to 4.
% 2.72/2.92
% 2.72/2.92 sos_size=768
% 2.72/2.92
% 2.72/2.92 -------- PROOF --------
% 2.72/2.92
% 2.72/2.92 -----> EMPTY CLAUSE at 0.10 sec ----> 1049 [hyper,413,128,147,148,149,demod,226,226,216,240,202,226,216,unit_del,1,2,238] $F.
% 2.72/2.92
% 2.72/2.92 Length of proof is 9. Level of proof is 3.
% 2.72/2.92
% 2.72/2.92 ---------------- PROOF ----------------
% 2.72/2.92 % SZS status Theorem
% 2.72/2.92 % SZS output start Refutation
% See solution above
% 2.72/2.92 ------------ end of proof -------------
% 2.72/2.92
% 2.72/2.92
% 2.72/2.92 Search stopped by max_proofs option.
% 2.72/2.92
% 2.72/2.92
% 2.72/2.92 Search stopped by max_proofs option.
% 2.72/2.92
% 2.72/2.92 ============ end of search ============
% 2.72/2.92
% 2.72/2.92 -------------- statistics -------------
% 2.72/2.92 clauses given 230
% 2.72/2.92 clauses generated 4941
% 2.72/2.92 clauses kept 1031
% 2.72/2.92 clauses forward subsumed 1018
% 2.72/2.92 clauses back subsumed 2
% 2.72/2.92 Kbytes malloced 5859
% 2.72/2.92
% 2.72/2.92 ----------- times (seconds) -----------
% 2.72/2.92 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 2.72/2.92 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.72/2.92 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.72/2.92
% 2.72/2.92 That finishes the proof of the theorem.
% 2.72/2.92
% 2.72/2.92 Process 2206 finished Wed Jul 27 08:47:03 2022
% 2.72/2.92 Otter interrupted
% 2.72/2.92 PROOF FOUND
%------------------------------------------------------------------------------