TSTP Solution File: TOP028+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n003.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 13:26:52 EDT 2022

% Result   : Theorem 2.34s 2.50s
% Output   : Refutation 2.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  13 unt;   4 nHn;  15 RR)
%            Number of literals    :   41 (   2 equ;  20 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ v3_struct_0(dollar_c1),
    file('TOP028+1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(dollar_c1)))
    | ~ v1_tsp_2(A,dollar_c1) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(112,axiom,
    ( v3_struct_0(A)
    | ~ l1_pre_topc(A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ v3_tex_2(B,A)
    | v1_tsp_1(B,A) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(115,axiom,
    ( v3_struct_0(A)
    | ~ v2_pre_topc(A)
    | ~ l1_pre_topc(A)
    | ~ v1_xboole_0(B)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | v3_tex_2(B,A) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(122,axiom,
    ( ~ v1_xboole_0(A)
    | A = B
    | ~ v1_xboole_0(B) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(123,axiom,
    ( v3_struct_0(A)
    | ~ v2_pre_topc(A)
    | ~ l1_pre_topc(A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ v1_tsp_1(B,A)
    | m1_subset_1(dollar_f12(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(125,axiom,
    ( v3_struct_0(A)
    | ~ v2_pre_topc(A)
    | ~ l1_pre_topc(A)
    | ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
    | ~ v1_tsp_1(B,A)
    | v1_tsp_2(dollar_f12(A,B),A) ),
    file('TOP028+1.p',unknown),
    [] ).

cnf(129,axiom,
    v2_pre_topc(dollar_c1),
    file('TOP028+1.p',unknown),
    [] ).

cnf(130,axiom,
    l1_pre_topc(dollar_c1),
    file('TOP028+1.p',unknown),
    [] ).

cnf(134,axiom,
    v1_xboole_0(k1_xboole_0),
    file('TOP028+1.p',unknown),
    [] ).

cnf(146,axiom,
    m1_subset_1(dollar_f4(A),k1_zfmisc_1(A)),
    file('TOP028+1.p',unknown),
    [] ).

cnf(147,axiom,
    v1_xboole_0(dollar_f4(A)),
    file('TOP028+1.p',unknown),
    [] ).

cnf(293,plain,
    dollar_f4(A) = k1_xboole_0,
    inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[147,122,134])]),
    [iquote('hyper,147,122,134,flip.1')] ).

cnf(294,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[146]),293]),
    [iquote('back_demod,146,demod,293')] ).

cnf(649,plain,
    v3_tex_2(k1_xboole_0,dollar_c1),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[294,115,129,130,134]),1]),
    [iquote('hyper,294,115,129,130,134,unit_del,1')] ).

cnf(653,plain,
    v1_tsp_1(k1_xboole_0,dollar_c1),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[649,112,130,294]),1]),
    [iquote('hyper,649,112,130,294,unit_del,1')] ).

cnf(657,plain,
    v1_tsp_2(dollar_f12(dollar_c1,k1_xboole_0),dollar_c1),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[653,125,129,130,294]),1]),
    [iquote('hyper,653,125,129,130,294,unit_del,1')] ).

cnf(658,plain,
    m1_subset_1(dollar_f12(dollar_c1,k1_xboole_0),k1_zfmisc_1(u1_struct_0(dollar_c1))),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[653,123,129,130,294]),1]),
    [iquote('hyper,653,123,129,130,294,unit_del,1')] ).

cnf(1958,plain,
    $false,
    inference(hyper,[status(thm)],[658,2,657]),
    [iquote('hyper,658,2,657')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 01:46:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.15/2.34  ----- Otter 3.3f, August 2004 -----
% 2.15/2.34  The process was started by sandbox on n003.cluster.edu,
% 2.15/2.34  Wed Jul 27 01:46:56 2022
% 2.15/2.34  The command was "./otter".  The process ID is 8475.
% 2.15/2.34  
% 2.15/2.34  set(prolog_style_variables).
% 2.15/2.34  set(auto).
% 2.15/2.34     dependent: set(auto1).
% 2.15/2.34     dependent: set(process_input).
% 2.15/2.34     dependent: clear(print_kept).
% 2.15/2.34     dependent: clear(print_new_demod).
% 2.15/2.34     dependent: clear(print_back_demod).
% 2.15/2.34     dependent: clear(print_back_sub).
% 2.15/2.34     dependent: set(control_memory).
% 2.15/2.34     dependent: assign(max_mem, 12000).
% 2.15/2.34     dependent: assign(pick_given_ratio, 4).
% 2.15/2.34     dependent: assign(stats_level, 1).
% 2.15/2.34     dependent: assign(max_seconds, 10800).
% 2.15/2.34  clear(print_given).
% 2.15/2.34  
% 2.15/2.34  formula_list(usable).
% 2.15/2.34  all A (A=A).
% 2.15/2.34  -(all A (-v3_struct_0(A)&v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v1_tsp_2(B,A))))).
% 2.15/2.34  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.15/2.34  all A (v1_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)))).
% 2.15/2.34  all A (v2_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 2.15/2.34  all A (v3_membered(A)-> (all B (m1_subset_1(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 2.15/2.34  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)))).
% 2.15/2.34  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)))).
% 2.15/2.34  all A (v1_xboole_0(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.15/2.34  all A (v1_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)))).
% 2.15/2.34  all A (v2_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)))).
% 2.15/2.34  all A (v3_membered(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 2.15/2.34  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)))).
% 2.15/2.34  all A (v5_membered(A)->v4_membered(A)).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v1_xboole_0(B)->v3_pre_topc(B,A)&v4_pre_topc(B,A))))).
% 2.15/2.34  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)))).
% 2.15/2.34  all A (v4_membered(A)->v3_membered(A)).
% 2.15/2.34  all A (l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v1_xboole_0(B)->v2_tops_1(B,A))))).
% 2.15/2.34  all A (v3_membered(A)->v2_membered(A)).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v1_xboole_0(B)->v3_tops_1(B,A))))).
% 2.15/2.34  all A (v2_membered(A)->v1_membered(A)).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v3_tops_1(B,A)->v2_tops_1(B,A))))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v4_pre_topc(B,A)&v2_tops_1(B,A)->v2_tops_1(B,A)&v3_tops_1(B,A))))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v3_pre_topc(B,A)&v3_tops_1(B,A)->v1_xboole_0(B)&v3_pre_topc(B,A)&v4_pre_topc(B,A)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&v2_tops_1(B,A)&v3_tops_1(B,A))))).
% 2.15/2.34  all A (l1_struct_0(A)->m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)))).
% 2.15/2.34  $T.
% 2.15/2.34  $T.
% 2.15/2.34  all A (l1_pre_topc(A)->l1_struct_0(A)).
% 2.15/2.34  $T.
% 2.15/2.34  $T.
% 2.15/2.34  $T.
% 2.15/2.34  exists A l1_pre_topc(A).
% 2.15/2.34  exists A l1_struct_0(A).
% 2.15/2.34  all A exists B m1_subset_1(B,A).
% 2.15/2.34  all A (l1_struct_0(A)->v1_xboole_0(k1_pre_topc(A))&v1_membered(k1_pre_topc(A))&v2_membered(k1_pre_topc(A))&v3_membered(k1_pre_topc(A))&v4_membered(k1_pre_topc(A))&v5_membered(k1_pre_topc(A))).
% 2.15/2.34  all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.15/2.34  all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)->v1_xboole_0(k1_pre_topc(A))&v4_pre_topc(k1_pre_topc(A),A)&v1_membered(k1_pre_topc(A))&v2_membered(k1_pre_topc(A))&v3_membered(k1_pre_topc(A))&v4_membered(k1_pre_topc(A))&v5_membered(k1_pre_topc(A))).
% 2.15/2.34  v1_xboole_0(k1_xboole_0).
% 2.15/2.34  v1_membered(k1_xboole_0).
% 2.15/2.34  v2_membered(k1_xboole_0).
% 2.15/2.34  v3_membered(k1_xboole_0).
% 2.15/2.34  v4_membered(k1_xboole_0).
% 2.15/2.34  v5_membered(k1_xboole_0).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)->v1_xboole_0(k1_pre_topc(A))&v3_pre_topc(k1_pre_topc(A),A)&v4_pre_topc(k1_pre_topc(A),A)&v1_membered(k1_pre_topc(A))&v2_membered(k1_pre_topc(A))&v3_membered(k1_pre_topc(A))&v4_membered(k1_pre_topc(A))&v5_membered(k1_pre_topc(A))).
% 2.15/2.34  exists A (-v1_xboole_0(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 2.15/2.34  all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v3_pre_topc(B,A)))).
% 2.15/2.34  all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v3_pre_topc(B,A)&v4_pre_topc(B,A)))).
% 2.15/2.34  exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.15/2.34  all A (-v3_struct_0(A)&v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)&v3_pre_topc(B,A)&v4_pre_topc(B,A)))).
% 2.15/2.34  all A (l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v1_xboole_0(B)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&v2_tops_1(B,A)))).
% 2.15/2.34  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)))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v1_xboole_0(B)&v3_pre_topc(B,A)&v4_pre_topc(B,A)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&v2_tops_1(B,A)&v3_tops_1(B,A)))).
% 2.15/2.34  all A (v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v4_pre_topc(B,A)))).
% 2.15/2.34  all A (-v3_struct_0(A)&v2_pre_topc(A)&l1_pre_topc(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)&v4_pre_topc(B,A)))).
% 2.15/2.34  all A B r1_tarski(A,A).
% 2.15/2.34  all A (-v3_struct_0(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> (v3_tex_2(B,A)->v1_tsp_1(B,A))))).
% 2.15/2.34  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.15/2.34  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.15/2.34  all A (-v3_struct_0(A)&v2_pre_topc(A)&l1_pre_topc(A)-> (all B (v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))->v3_tex_2(B,A)))).
% 2.15/2.34  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.15/2.34  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.15/2.34  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.15/2.34  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.15/2.34  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.15/2.34  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.15/2.34  all A (-v3_struct_0(A)&v2_pre_topc(A)&l1_pre_topc(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))-> -(v1_tsp_1(B,A)& (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))-> -(r1_tarski(B,C)&v1_tsp_2(C,A)))))))).
% 2.15/2.34  end_of_list.
% 2.15/2.34  
% 2.15/2.34  -------> usable clausifies to:
% 2.15/2.34  
% 2.15/2.34  list(usable).
% 2.15/2.34  0 [] A=A.
% 2.15/2.34  0 [] -v3_struct_0($c1).
% 2.15/2.34  0 [] v2_pre_topc($c1).
% 2.15/2.34  0 [] l1_pre_topc($c1).
% 2.15/2.34  0 [] -m1_subset_1(B,k1_zfmisc_1(u1_struct_0($c1)))| -v1_tsp_2(B,$c1).
% 2.15/2.34  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.15/2.34  0 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  0 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  0 [] -v1_xboole_0(A)|v1_membered(A).
% 2.15/2.34  0 [] -v1_xboole_0(A)|v2_membered(A).
% 2.15/2.34  0 [] -v1_xboole_0(A)|v3_membered(A).
% 2.15/2.34  0 [] -v1_xboole_0(A)|v4_membered(A).
% 2.15/2.34  0 [] -v1_xboole_0(A)|v5_membered(A).
% 2.15/2.34  0 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  0 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  0 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  0 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.15/2.34  0 [] -v5_membered(A)|v4_membered(A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v3_pre_topc(B,A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v4_pre_topc(B,A).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.15/2.34  0 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.15/2.34  0 [] -v4_membered(A)|v3_membered(A).
% 2.15/2.34  0 [] -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v2_tops_1(B,A).
% 2.15/2.34  0 [] -v3_membered(A)|v2_membered(A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v3_tops_1(B,A).
% 2.15/2.34  0 [] -v2_membered(A)|v1_membered(A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_tops_1(B,A)|v2_tops_1(B,A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v4_pre_topc(B,A)| -v2_tops_1(B,A)|v3_tops_1(B,A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v1_xboole_0(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v4_pre_topc(B,A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v1_membered(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v2_membered(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v3_membered(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v4_membered(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v5_membered(B).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v2_tops_1(B,A).
% 2.15/2.34  0 [] -l1_struct_0(A)|m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] $T.
% 2.15/2.34  0 [] $T.
% 2.15/2.34  0 [] -l1_pre_topc(A)|l1_struct_0(A).
% 2.15/2.34  0 [] $T.
% 2.15/2.34  0 [] $T.
% 2.15/2.34  0 [] $T.
% 2.15/2.34  0 [] l1_pre_topc($c2).
% 2.15/2.34  0 [] l1_struct_0($c3).
% 2.15/2.34  0 [] m1_subset_1($f1(A),A).
% 2.15/2.34  0 [] -l1_struct_0(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  0 [] -l1_struct_0(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -l1_struct_0(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -l1_struct_0(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -l1_struct_0(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -l1_struct_0(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.15/2.34  0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] v1_xboole_0(k1_xboole_0).
% 2.15/2.34  0 [] v1_membered(k1_xboole_0).
% 2.15/2.34  0 [] v2_membered(k1_xboole_0).
% 2.15/2.34  0 [] v3_membered(k1_xboole_0).
% 2.15/2.34  0 [] v4_membered(k1_xboole_0).
% 2.15/2.34  0 [] v5_membered(k1_xboole_0).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.34  0 [] -v1_xboole_0($c4).
% 2.15/2.34  0 [] v1_membered($c4).
% 2.15/2.34  0 [] v2_membered($c4).
% 2.15/2.34  0 [] v3_membered($c4).
% 2.15/2.34  0 [] v4_membered($c4).
% 2.15/2.34  0 [] v5_membered($c4).
% 2.15/2.34  0 [] v1_xboole_0(A)|m1_subset_1($f2(A),k1_zfmisc_1(A)).
% 2.15/2.34  0 [] v1_xboole_0(A)| -v1_xboole_0($f2(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f3(A),A).
% 2.15/2.34  0 [] m1_subset_1($f4(A),k1_zfmisc_1(A)).
% 2.15/2.34  0 [] v1_xboole_0($f4(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f5(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f5(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f5(A),A).
% 2.15/2.34  0 [] l1_struct_0($c5).
% 2.15/2.34  0 [] -v3_struct_0($c5).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f6(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0($f6(A)).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f6(A),A).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f6(A),A).
% 2.15/2.34  0 [] -l1_pre_topc(A)|m1_subset_1($f7(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v1_xboole_0($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v1_membered($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v2_membered($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v3_membered($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v4_membered($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v5_membered($f7(A)).
% 2.15/2.34  0 [] -l1_pre_topc(A)|v2_tops_1($f7(A),A).
% 2.15/2.34  0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f8(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f9(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f9(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered($f9(A)).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_tops_1($f9(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_tops_1($f9(A),A).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f10(A),A).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f11(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0($f11(A)).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f11(A),A).
% 2.15/2.34  0 [] r1_tarski(A,A).
% 2.15/2.34  0 [] v3_struct_0(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_tex_2(B,A)|v1_tsp_1(B,A).
% 2.15/2.34  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.15/2.34  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v3_tex_2(B,A).
% 2.15/2.34  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.15/2.34  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.15/2.34  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.15/2.34  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.15/2.34  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.15/2.34  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.15/2.34  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|m1_subset_1($f12(A,B),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|r1_tarski(B,$f12(A,B)).
% 2.15/2.34  0 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|v1_tsp_2($f12(A,B),A).
% 2.15/2.34  end_of_list.
% 2.15/2.34  
% 2.15/2.34  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.15/2.34  
% 2.15/2.34  This ia a non-Horn set with equality.  The strategy will be
% 2.15/2.34  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.15/2.34  deletion, with positive clauses in sos and nonpositive
% 2.15/2.34  clauses in usable.
% 2.15/2.34  
% 2.15/2.34     dependent: set(knuth_bendix).
% 2.15/2.34     dependent: set(anl_eq).
% 2.15/2.34     dependent: set(para_from).
% 2.15/2.34     dependent: set(para_into).
% 2.15/2.34     dependent: clear(para_from_right).
% 2.15/2.34     dependent: clear(para_into_right).
% 2.15/2.34     dependent: set(para_from_vars).
% 2.15/2.34     dependent: set(eq_units_both_ways).
% 2.15/2.34     dependent: set(dynamic_demod_all).
% 2.15/2.34     dependent: set(dynamic_demod).
% 2.15/2.34     dependent: set(order_eq).
% 2.15/2.34     dependent: set(back_demod).
% 2.15/2.34     dependent: set(lrpo).
% 2.15/2.34     dependent: set(hyper_res).
% 2.15/2.34     dependent: set(unit_deletion).
% 2.15/2.34     dependent: set(factor).
% 2.15/2.34  
% 2.15/2.34  ------------> process usable:
% 2.15/2.34  ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c1).
% 2.15/2.34  ** KEPT (pick-wt=8): 2 [] -m1_subset_1(A,k1_zfmisc_1(u1_struct_0($c1)))| -v1_tsp_2(A,$c1).
% 2.15/2.34  ** KEPT (pick-wt=6): 3 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.15/2.34  ** KEPT (pick-wt=7): 4 [] -v1_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 5 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 6 [] -v2_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 7 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 8 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 9 [] -v3_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 10 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 11 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 12 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 13 [] -v4_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 14 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xcmplx_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 15 [] -v5_membered(A)| -m1_subset_1(B,A)|v4_ordinal2(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 16 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_xreal_0(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 17 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_int_1(B).
% 2.15/2.34  ** KEPT (pick-wt=7): 18 [] -v5_membered(A)| -m1_subset_1(B,A)|v1_rat_1(B).
% 2.15/2.34  ** KEPT (pick-wt=4): 19 [] -v1_xboole_0(A)|v1_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=4): 20 [] -v1_xboole_0(A)|v2_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=4): 21 [] -v1_xboole_0(A)|v3_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=4): 22 [] -v1_xboole_0(A)|v4_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=4): 23 [] -v1_xboole_0(A)|v5_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=8): 24 [] -v1_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 25 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 26 [] -v2_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 28 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 29 [] -v3_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 32 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 33 [] -v4_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=4): 34 [] -v5_membered(A)|v4_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=14): 35 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v3_pre_topc(B,A).
% 2.15/2.34  ** KEPT (pick-wt=14): 36 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v4_pre_topc(B,A).
% 2.15/2.34  ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 38 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v2_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 39 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v3_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 40 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v4_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=8): 41 [] -v5_membered(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v5_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=4): 42 [] -v4_membered(A)|v3_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=12): 43 [] -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v2_tops_1(B,A).
% 2.15/2.34  ** KEPT (pick-wt=4): 44 [] -v3_membered(A)|v2_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=14): 45 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_xboole_0(B)|v3_tops_1(B,A).
% 2.15/2.34  ** KEPT (pick-wt=4): 46 [] -v2_membered(A)|v1_membered(A).
% 2.15/2.34  ** KEPT (pick-wt=15): 47 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_tops_1(B,A)|v2_tops_1(B,A).
% 2.15/2.34  ** KEPT (pick-wt=18): 48 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v4_pre_topc(B,A)| -v2_tops_1(B,A)|v3_tops_1(B,A).
% 2.15/2.34  ** KEPT (pick-wt=17): 49 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v1_xboole_0(B).
% 2.15/2.34  ** KEPT (pick-wt=18): 50 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v4_pre_topc(B,A).
% 2.15/2.34  ** KEPT (pick-wt=17): 51 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v1_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=17): 52 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v2_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=17): 53 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v3_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=17): 54 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v4_membered(B).
% 2.15/2.34  ** KEPT (pick-wt=17): 55 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v5_membered(B).
% 2.15/2.34    Following clause subsumed by 47 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_pre_topc(B,A)| -v3_tops_1(B,A)|v2_tops_1(B,A).
% 2.15/2.34  ** KEPT (pick-wt=8): 56 [] -l1_struct_0(A)|m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.34  ** KEPT (pick-wt=4): 57 [] -l1_pre_topc(A)|l1_struct_0(A).
% 2.15/2.34  ** KEPT (pick-wt=5): 58 [] -l1_struct_0(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=5): 59 [] -l1_struct_0(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=5): 60 [] -l1_struct_0(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=5): 61 [] -l1_struct_0(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=5): 62 [] -l1_struct_0(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=5): 63 [] -l1_struct_0(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 64 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.15/2.34  ** KEPT (pick-wt=3): 65 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 66 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=8): 67 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34  ** KEPT (pick-wt=7): 68 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 69 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 70 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 71 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=7): 72 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.34    Following clause subsumed by 66 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0(k1_pre_topc(A)).
% 2.15/2.34  ** KEPT (pick-wt=8): 73 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34    Following clause subsumed by 67 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc(k1_pre_topc(A),A).
% 2.15/2.34    Following clause subsumed by 68 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered(k1_pre_topc(A)).
% 2.15/2.35    Following clause subsumed by 69 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered(k1_pre_topc(A)).
% 2.15/2.35    Following clause subsumed by 70 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered(k1_pre_topc(A)).
% 2.15/2.35    Following clause subsumed by 71 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered(k1_pre_topc(A)).
% 2.15/2.35    Following clause subsumed by 72 during input processing: 0 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered(k1_pre_topc(A)).
% 2.15/2.35  ** KEPT (pick-wt=2): 74 [] -v1_xboole_0($c4).
% 2.15/2.35  ** KEPT (pick-wt=5): 75 [] v1_xboole_0(A)| -v1_xboole_0($f2(A)).
% 2.15/2.35  ** KEPT (pick-wt=10): 76 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f3(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=8): 77 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f3(A),A).
% 2.15/2.35  ** KEPT (pick-wt=10): 78 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f5(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=8): 79 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f5(A),A).
% 2.15/2.35  ** KEPT (pick-wt=8): 80 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f5(A),A).
% 2.15/2.35  ** KEPT (pick-wt=2): 81 [] -v3_struct_0($c5).
% 2.15/2.35  ** KEPT (pick-wt=12): 82 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f6(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=9): 83 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0($f6(A)).
% 2.15/2.35  ** KEPT (pick-wt=10): 84 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f6(A),A).
% 2.15/2.35  ** KEPT (pick-wt=10): 85 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f6(A),A).
% 2.15/2.35  ** KEPT (pick-wt=8): 86 [] -l1_pre_topc(A)|m1_subset_1($f7(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=5): 87 [] -l1_pre_topc(A)|v1_xboole_0($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=5): 88 [] -l1_pre_topc(A)|v1_membered($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=5): 89 [] -l1_pre_topc(A)|v2_membered($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=5): 90 [] -l1_pre_topc(A)|v3_membered($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=5): 91 [] -l1_pre_topc(A)|v4_membered($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=5): 92 [] -l1_pre_topc(A)|v5_membered($f7(A)).
% 2.15/2.35  ** KEPT (pick-wt=6): 93 [] -l1_pre_topc(A)|v2_tops_1($f7(A),A).
% 2.15/2.35  ** KEPT (pick-wt=10): 94 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=7): 95 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f8(A)).
% 2.15/2.35  ** KEPT (pick-wt=10): 96 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=7): 97 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_xboole_0($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=8): 98 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_pre_topc($f9(A),A).
% 2.15/2.35  ** KEPT (pick-wt=8): 99 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f9(A),A).
% 2.15/2.35  ** KEPT (pick-wt=7): 100 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v1_membered($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=7): 101 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_membered($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=7): 102 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_membered($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=7): 103 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_membered($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=7): 104 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v5_membered($f9(A)).
% 2.15/2.35  ** KEPT (pick-wt=8): 105 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v2_tops_1($f9(A),A).
% 2.15/2.35  ** KEPT (pick-wt=8): 106 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v3_tops_1($f9(A),A).
% 2.15/2.35  ** KEPT (pick-wt=10): 107 [] -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f10(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=8): 108 [] -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f10(A),A).
% 2.15/2.35  ** KEPT (pick-wt=12): 109 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|m1_subset_1($f11(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.15/2.35  ** KEPT (pick-wt=9): 110 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0($f11(A)).
% 2.15/2.35  ** KEPT (pick-wt=10): 111 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)|v4_pre_topc($f11(A),A).
% 2.15/2.35  ** KEPT (pick-wt=15): 112 [] v3_struct_0(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v3_tex_2(B,A)|v1_tsp_1(B,A).
% 2.15/2.35  ** KEPT (pick-wt=6): 113 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.15/2.35  ** KEPT (pick-wt=8): 114 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.34/2.50  ** KEPT (pick-wt=16): 115 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -v1_xboole_0(B)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|v3_tex_2(B,A).
% 2.34/2.50  ** KEPT (pick-wt=7): 116 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.34/2.50  ** KEPT (pick-wt=7): 117 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.34/2.50  ** KEPT (pick-wt=10): 118 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.34/2.50  ** KEPT (pick-wt=9): 119 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.34/2.50  ** KEPT (pick-wt=5): 120 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.34/2.50  ** KEPT (pick-wt=5): 121 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.34/2.50  ** KEPT (pick-wt=7): 122 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.34/2.50  ** KEPT (pick-wt=21): 123 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|m1_subset_1($f12(A,B),k1_zfmisc_1(u1_struct_0(A))).
% 2.34/2.50  ** KEPT (pick-wt=19): 124 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|r1_tarski(B,$f12(A,B)).
% 2.34/2.50  ** KEPT (pick-wt=19): 125 [] v3_struct_0(A)| -v2_pre_topc(A)| -l1_pre_topc(A)| -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))| -v1_tsp_1(B,A)|v1_tsp_2($f12(A,B),A).
% 2.34/2.50  
% 2.34/2.50  ------------> process sos:
% 2.34/2.50  ** KEPT (pick-wt=3): 128 [] A=A.
% 2.34/2.50  ** KEPT (pick-wt=2): 129 [] v2_pre_topc($c1).
% 2.34/2.50  ** KEPT (pick-wt=2): 130 [] l1_pre_topc($c1).
% 2.34/2.50  ** KEPT (pick-wt=2): 131 [] l1_pre_topc($c2).
% 2.34/2.50  ** KEPT (pick-wt=2): 132 [] l1_struct_0($c3).
% 2.34/2.50  ** KEPT (pick-wt=4): 133 [] m1_subset_1($f1(A),A).
% 2.34/2.50  ** KEPT (pick-wt=2): 134 [] v1_xboole_0(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 135 [] v1_membered(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 136 [] v2_membered(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 137 [] v3_membered(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 138 [] v4_membered(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 139 [] v5_membered(k1_xboole_0).
% 2.34/2.50  ** KEPT (pick-wt=2): 140 [] v1_membered($c4).
% 2.34/2.50  ** KEPT (pick-wt=2): 141 [] v2_membered($c4).
% 2.34/2.50  ** KEPT (pick-wt=2): 142 [] v3_membered($c4).
% 2.34/2.50  ** KEPT (pick-wt=2): 143 [] v4_membered($c4).
% 2.34/2.50  ** KEPT (pick-wt=2): 144 [] v5_membered($c4).
% 2.34/2.50  ** KEPT (pick-wt=7): 145 [] v1_xboole_0(A)|m1_subset_1($f2(A),k1_zfmisc_1(A)).
% 2.34/2.50  ** KEPT (pick-wt=5): 146 [] m1_subset_1($f4(A),k1_zfmisc_1(A)).
% 2.34/2.50  ** KEPT (pick-wt=3): 147 [] v1_xboole_0($f4(A)).
% 2.34/2.50  ** KEPT (pick-wt=2): 148 [] l1_struct_0($c5).
% 2.34/2.50  ** KEPT (pick-wt=3): 149 [] r1_tarski(A,A).
% 2.34/2.50    Following clause subsumed by 128 during input processing: 0 [copy,128,flip.1] A=A.
% 2.34/2.50  128 back subsumes 127.
% 2.34/2.50  
% 2.34/2.50  ======= end of input processing =======
% 2.34/2.50  
% 2.34/2.50  =========== start of search ===========
% 2.34/2.50  
% 2.34/2.50  
% 2.34/2.50  Resetting weight limit to 6.
% 2.34/2.50  
% 2.34/2.50  
% 2.34/2.50  Resetting weight limit to 6.
% 2.34/2.50  
% 2.34/2.50  sos_size=1215
% 2.34/2.50  
% 2.34/2.50  -------- PROOF -------- 
% 2.34/2.50  
% 2.34/2.50  -----> EMPTY CLAUSE at   0.16 sec ----> 1958 [hyper,658,2,657] $F.
% 2.34/2.50  
% 2.34/2.50  Length of proof is 6.  Level of proof is 5.
% 2.34/2.50  
% 2.34/2.50  ---------------- PROOF ----------------
% 2.34/2.50  % SZS status Theorem
% 2.34/2.50  % SZS output start Refutation
% See solution above
% 2.34/2.50  ------------ end of proof -------------
% 2.34/2.50  
% 2.34/2.50  
% 2.34/2.50  Search stopped by max_proofs option.
% 2.34/2.50  
% 2.34/2.50  
% 2.34/2.50  Search stopped by max_proofs option.
% 2.34/2.50  
% 2.34/2.50  ============ end of search ============
% 2.34/2.50  
% 2.34/2.50  -------------- statistics -------------
% 2.34/2.50  clauses given                440
% 2.34/2.50  clauses generated          13455
% 2.34/2.50  clauses kept                1949
% 2.34/2.50  clauses forward subsumed    4684
% 2.34/2.50  clauses back subsumed        242
% 2.34/2.50  Kbytes malloced             4882
% 2.34/2.50  
% 2.34/2.50  ----------- times (seconds) -----------
% 2.34/2.50  user CPU time          0.16          (0 hr, 0 min, 0 sec)
% 2.34/2.50  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.34/2.50  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.34/2.50  
% 2.34/2.50  That finishes the proof of the theorem.
% 2.34/2.50  
% 2.34/2.50  Process 8475 finished Wed Jul 27 01:46:58 2022
% 2.34/2.50  Otter interrupted
% 2.34/2.50  PROOF FOUND
%------------------------------------------------------------------------------