TSTP Solution File: SYN100-1.005 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n018.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 13:23:34 EDT 2022

% Result   : Unsatisfiable 1.85s 2.04s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   35 (  19 unt;   0 nHn;  35 RR)
%            Number of literals    :   66 (   0 equ;  32 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ p_0(A)
    | ~ q_0(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(3,axiom,
    ( p_0(A)
    | ~ q_1(A)
    | ~ q_2(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(7,axiom,
    ( p_2(A)
    | ~ q_3(A)
    | ~ q_4(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(9,axiom,
    ( p_3(A)
    | ~ q_4(A)
    | ~ q_5(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(11,axiom,
    ( p_4(A)
    | ~ q_5(A)
    | ~ q_6(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(13,axiom,
    ( p_5(A)
    | ~ q_6(A)
    | ~ q_7(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(14,axiom,
    ( p_6(A)
    | ~ p_7(A)
    | ~ p_8(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(16,axiom,
    ( p_7(A)
    | ~ p_8(A)
    | ~ p_9(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(19,axiom,
    ( q_0(A)
    | ~ q_1(A)
    | ~ p_2(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(21,axiom,
    ( q_1(A)
    | ~ q_2(A)
    | ~ p_3(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(23,axiom,
    ( q_2(A)
    | ~ q_3(A)
    | ~ p_4(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(25,axiom,
    ( q_3(A)
    | ~ q_4(A)
    | ~ p_5(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(27,axiom,
    ( q_4(A)
    | ~ q_5(A)
    | ~ p_6(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(29,axiom,
    ( q_5(A)
    | ~ q_6(A)
    | ~ p_7(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(30,axiom,
    ( q_6(A)
    | ~ p_7(A)
    | ~ q_8(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(33,axiom,
    ( q_7(A)
    | ~ q_8(A)
    | ~ p_9(A) ),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(78,axiom,
    p_8(a),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(79,axiom,
    p_9(a),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(80,axiom,
    q_8(a),
    file('SYN100-1.005.p',unknown),
    [] ).

cnf(83,plain,
    p_7(a),
    inference(hyper,[status(thm)],[79,16,78]),
    [iquote('hyper,79,16,78')] ).

cnf(84,plain,
    q_7(a),
    inference(hyper,[status(thm)],[80,33,79]),
    [iquote('hyper,80,33,79')] ).

cnf(85,plain,
    q_6(a),
    inference(hyper,[status(thm)],[83,30,80]),
    [iquote('hyper,83,30,80')] ).

cnf(86,plain,
    p_6(a),
    inference(hyper,[status(thm)],[83,14,78]),
    [iquote('hyper,83,14,78')] ).

cnf(89,plain,
    q_5(a),
    inference(hyper,[status(thm)],[85,29,83]),
    [iquote('hyper,85,29,83')] ).

cnf(90,plain,
    p_5(a),
    inference(hyper,[status(thm)],[85,13,84]),
    [iquote('hyper,85,13,84')] ).

cnf(92,plain,
    q_4(a),
    inference(hyper,[status(thm)],[89,27,86]),
    [iquote('hyper,89,27,86')] ).

cnf(93,plain,
    p_4(a),
    inference(hyper,[status(thm)],[89,11,85]),
    [iquote('hyper,89,11,85')] ).

cnf(97,plain,
    q_3(a),
    inference(hyper,[status(thm)],[92,25,90]),
    [iquote('hyper,92,25,90')] ).

cnf(98,plain,
    p_3(a),
    inference(hyper,[status(thm)],[92,9,89]),
    [iquote('hyper,92,9,89')] ).

cnf(101,plain,
    q_2(a),
    inference(hyper,[status(thm)],[97,23,93]),
    [iquote('hyper,97,23,93')] ).

cnf(102,plain,
    p_2(a),
    inference(hyper,[status(thm)],[97,7,92]),
    [iquote('hyper,97,7,92')] ).

cnf(103,plain,
    q_1(a),
    inference(hyper,[status(thm)],[101,21,98]),
    [iquote('hyper,101,21,98')] ).

cnf(106,plain,
    q_0(a),
    inference(hyper,[status(thm)],[103,19,102]),
    [iquote('hyper,103,19,102')] ).

cnf(107,plain,
    p_0(a),
    inference(hyper,[status(thm)],[103,3,101]),
    [iquote('hyper,103,3,101')] ).

cnf(110,plain,
    $false,
    inference(hyper,[status(thm)],[107,1,106]),
    [iquote('hyper,107,1,106')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 11:15:31 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.85/2.04  ----- Otter 3.3f, August 2004 -----
% 1.85/2.04  The process was started by sandbox on n018.cluster.edu,
% 1.85/2.04  Wed Jul 27 11:15:31 2022
% 1.85/2.04  The command was "./otter".  The process ID is 27335.
% 1.85/2.04  
% 1.85/2.04  set(prolog_style_variables).
% 1.85/2.04  set(auto).
% 1.85/2.04     dependent: set(auto1).
% 1.85/2.04     dependent: set(process_input).
% 1.85/2.04     dependent: clear(print_kept).
% 1.85/2.04     dependent: clear(print_new_demod).
% 1.85/2.04     dependent: clear(print_back_demod).
% 1.85/2.04     dependent: clear(print_back_sub).
% 1.85/2.04     dependent: set(control_memory).
% 1.85/2.04     dependent: assign(max_mem, 12000).
% 1.85/2.04     dependent: assign(pick_given_ratio, 4).
% 1.85/2.04     dependent: assign(stats_level, 1).
% 1.85/2.04     dependent: assign(max_seconds, 10800).
% 1.85/2.04  clear(print_given).
% 1.85/2.04  
% 1.85/2.04  list(usable).
% 1.85/2.04  0 [] -p_0(X)| -q_0(X).
% 1.85/2.04  0 [] p_0(X)| -p_1(X)| -p_2(X).
% 1.85/2.04  0 [] p_0(X)| -q_1(X)| -q_2(X).
% 1.85/2.04  0 [] p_1(X)| -p_2(X)| -p_3(X).
% 1.85/2.04  0 [] p_1(X)| -q_2(X)| -q_3(X).
% 1.85/2.04  0 [] p_2(X)| -p_3(X)| -p_4(X).
% 1.85/2.04  0 [] p_2(X)| -q_3(X)| -q_4(X).
% 1.85/2.04  0 [] p_3(X)| -p_4(X)| -p_5(X).
% 1.85/2.04  0 [] p_3(X)| -q_4(X)| -q_5(X).
% 1.85/2.04  0 [] p_4(X)| -p_5(X)| -p_6(X).
% 1.85/2.04  0 [] p_4(X)| -q_5(X)| -q_6(X).
% 1.85/2.04  0 [] p_5(X)| -p_6(X)| -p_7(X).
% 1.85/2.04  0 [] p_5(X)| -q_6(X)| -q_7(X).
% 1.85/2.04  0 [] p_6(X)| -p_7(X)| -p_8(X).
% 1.85/2.04  0 [] p_6(X)| -q_7(X)| -q_8(X).
% 1.85/2.04  0 [] p_7(X)| -p_8(X)| -p_9(X).
% 1.85/2.04  0 [] p_7(X)| -q_8(X)| -q_9(X).
% 1.85/2.04  0 [] q_0(X)| -p_1(X)| -q_2(X).
% 1.85/2.04  0 [] q_0(X)| -q_1(X)| -p_2(X).
% 1.85/2.04  0 [] q_1(X)| -p_2(X)| -q_3(X).
% 1.85/2.04  0 [] q_1(X)| -q_2(X)| -p_3(X).
% 1.85/2.04  0 [] q_2(X)| -p_3(X)| -q_4(X).
% 1.85/2.04  0 [] q_2(X)| -q_3(X)| -p_4(X).
% 1.85/2.04  0 [] q_3(X)| -p_4(X)| -q_5(X).
% 1.85/2.04  0 [] q_3(X)| -q_4(X)| -p_5(X).
% 1.85/2.04  0 [] q_4(X)| -p_5(X)| -q_6(X).
% 1.85/2.04  0 [] q_4(X)| -q_5(X)| -p_6(X).
% 1.85/2.04  0 [] q_5(X)| -p_6(X)| -q_7(X).
% 1.85/2.04  0 [] q_5(X)| -q_6(X)| -p_7(X).
% 1.85/2.04  0 [] q_6(X)| -p_7(X)| -q_8(X).
% 1.85/2.04  0 [] q_6(X)| -q_7(X)| -p_8(X).
% 1.85/2.04  0 [] q_7(X)| -p_8(X)| -q_9(X).
% 1.85/2.04  0 [] q_7(X)| -q_8(X)| -p_9(X).
% 1.85/2.04  0 [] p_9(X)| -p_4(X).
% 1.85/2.04  0 [] p_10(X)| -p_5(X).
% 1.85/2.04  0 [] q_9(X)| -q_4(X).
% 1.85/2.04  0 [] q_10(X)| -q_5(X).
% 1.85/2.04  0 [] p_8(a).
% 1.85/2.04  0 [] p_9(a).
% 1.85/2.04  0 [] q_8(a).
% 1.85/2.04  0 [] q_9(a).
% 1.85/2.04  0 [] sym_p_0(X)|sym_q_0(X).
% 1.85/2.04  0 [] -sym_p_0(X)|sym_p_1(X)|sym_p_2(X).
% 1.85/2.04  0 [] -sym_p_0(X)|sym_q_1(X)|sym_q_2(X).
% 1.85/2.04  0 [] -sym_p_1(X)|sym_p_2(X)|sym_p_3(X).
% 1.85/2.04  0 [] -sym_p_1(X)|sym_q_2(X)|sym_q_3(X).
% 1.85/2.04  0 [] -sym_p_2(X)|sym_p_3(X)|sym_p_4(X).
% 1.85/2.04  0 [] -sym_p_2(X)|sym_q_3(X)|sym_q_4(X).
% 1.85/2.04  0 [] -sym_p_3(X)|sym_p_4(X)|sym_p_5(X).
% 1.85/2.04  0 [] -sym_p_3(X)|sym_q_4(X)|sym_q_5(X).
% 1.85/2.04  0 [] -sym_p_4(X)|sym_p_5(X)|sym_p_6(X).
% 1.85/2.04  0 [] -sym_p_4(X)|sym_q_5(X)|sym_q_6(X).
% 1.85/2.04  0 [] -sym_p_5(X)|sym_p_6(X)|sym_p_7(X).
% 1.85/2.04  0 [] -sym_p_5(X)|sym_q_6(X)|sym_q_7(X).
% 1.85/2.04  0 [] -sym_p_6(X)|sym_p_7(X)|sym_p_8(X).
% 1.85/2.04  0 [] -sym_p_6(X)|sym_q_7(X)|sym_q_8(X).
% 1.85/2.04  0 [] -sym_p_7(X)|sym_p_8(X)|sym_p_9(X).
% 1.85/2.04  0 [] -sym_p_7(X)|sym_q_8(X)|sym_q_9(X).
% 1.85/2.04  0 [] -sym_q_0(X)|sym_p_1(X)|sym_q_2(X).
% 1.85/2.04  0 [] -sym_q_0(X)|sym_q_1(X)|sym_p_2(X).
% 1.85/2.04  0 [] -sym_q_1(X)|sym_p_2(X)|sym_q_3(X).
% 1.85/2.04  0 [] -sym_q_1(X)|sym_q_2(X)|sym_p_3(X).
% 1.85/2.04  0 [] -sym_q_2(X)|sym_p_3(X)|sym_q_4(X).
% 1.85/2.04  0 [] -sym_q_2(X)|sym_q_3(X)|sym_p_4(X).
% 1.85/2.04  0 [] -sym_q_3(X)|sym_p_4(X)|sym_q_5(X).
% 1.85/2.04  0 [] -sym_q_3(X)|sym_q_4(X)|sym_p_5(X).
% 1.85/2.04  0 [] -sym_q_4(X)|sym_p_5(X)|sym_q_6(X).
% 1.85/2.04  0 [] -sym_q_4(X)|sym_q_5(X)|sym_p_6(X).
% 1.85/2.04  0 [] -sym_q_5(X)|sym_p_6(X)|sym_q_7(X).
% 1.85/2.04  0 [] -sym_q_5(X)|sym_q_6(X)|sym_p_7(X).
% 1.85/2.04  0 [] -sym_q_6(X)|sym_p_7(X)|sym_q_8(X).
% 1.85/2.04  0 [] -sym_q_6(X)|sym_q_7(X)|sym_p_8(X).
% 1.85/2.04  0 [] -sym_q_7(X)|sym_p_8(X)|sym_q_9(X).
% 1.85/2.04  0 [] -sym_q_7(X)|sym_q_8(X)|sym_p_9(X).
% 1.85/2.04  0 [] -sym_p_9(X)|sym_p_4(X).
% 1.85/2.04  0 [] -sym_p_10(X)|sym_p_5(X).
% 1.85/2.04  0 [] -sym_q_9(X)|sym_q_4(X).
% 1.85/2.04  0 [] -sym_q_10(X)|sym_q_5(X).
% 1.85/2.04  0 [] -sym_p_8(a).
% 1.85/2.04  0 [] -sym_p_9(a).
% 1.85/2.04  0 [] -sym_q_8(a).
% 1.85/2.04  0 [] -sym_q_9(a).
% 1.85/2.04  end_of_list.
% 1.85/2.04  
% 1.85/2.04  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.85/2.04  
% 1.85/2.04  This is a non-Horn set without equality.  The strategy will
% 1.85/2.04  be ordered hyper_res, unit deletion, and factoring, with
% 1.85/2.04  satellites in sos and with nuclei in usable.
% 1.85/2.04  
% 1.85/2.04     dependent: set(hyper_res).
% 1.85/2.04     dependent: set(factor).
% 1.85/2.04     dependent: set(unit_deletion).
% 1.85/2.04  
% 1.85/2.04  ------------> process usable:
% 1.85/2.04  ** KEPT (pick-wt=4): 1 [] -p_0(A)| -q_0(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 2 [] p_0(A)| -p_1(A)| -p_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 3 [] p_0(A)| -q_1(A)| -q_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 4 [] p_1(A)| -p_2(A)| -p_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 5 [] p_1(A)| -q_2(A)| -q_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 6 [] p_2(A)| -p_3(A)| -p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 7 [] p_2(A)| -q_3(A)| -q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 8 [] p_3(A)| -p_4(A)| -p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 9 [] p_3(A)| -q_4(A)| -q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 10 [] p_4(A)| -p_5(A)| -p_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 11 [] p_4(A)| -q_5(A)| -q_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 12 [] p_5(A)| -p_6(A)| -p_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 13 [] p_5(A)| -q_6(A)| -q_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 14 [] p_6(A)| -p_7(A)| -p_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 15 [] p_6(A)| -q_7(A)| -q_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 16 [] p_7(A)| -p_8(A)| -p_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 17 [] p_7(A)| -q_8(A)| -q_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 18 [] q_0(A)| -p_1(A)| -q_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 19 [] q_0(A)| -q_1(A)| -p_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 20 [] q_1(A)| -p_2(A)| -q_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 21 [] q_1(A)| -q_2(A)| -p_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 22 [] q_2(A)| -p_3(A)| -q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 23 [] q_2(A)| -q_3(A)| -p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 24 [] q_3(A)| -p_4(A)| -q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 25 [] q_3(A)| -q_4(A)| -p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 26 [] q_4(A)| -p_5(A)| -q_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 27 [] q_4(A)| -q_5(A)| -p_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 28 [] q_5(A)| -p_6(A)| -q_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 29 [] q_5(A)| -q_6(A)| -p_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 30 [] q_6(A)| -p_7(A)| -q_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 31 [] q_6(A)| -q_7(A)| -p_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 32 [] q_7(A)| -p_8(A)| -q_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 33 [] q_7(A)| -q_8(A)| -p_9(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 34 [] p_9(A)| -p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 35 [] p_10(A)| -p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 36 [] q_9(A)| -q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 37 [] q_10(A)| -q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 38 [] -sym_p_0(A)|sym_p_1(A)|sym_p_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 39 [] -sym_p_0(A)|sym_q_1(A)|sym_q_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 40 [] -sym_p_1(A)|sym_p_2(A)|sym_p_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 41 [] -sym_p_1(A)|sym_q_2(A)|sym_q_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 42 [] -sym_p_2(A)|sym_p_3(A)|sym_p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 43 [] -sym_p_2(A)|sym_q_3(A)|sym_q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 44 [] -sym_p_3(A)|sym_p_4(A)|sym_p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 45 [] -sym_p_3(A)|sym_q_4(A)|sym_q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 46 [] -sym_p_4(A)|sym_p_5(A)|sym_p_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 47 [] -sym_p_4(A)|sym_q_5(A)|sym_q_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 48 [] -sym_p_5(A)|sym_p_6(A)|sym_p_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 49 [] -sym_p_5(A)|sym_q_6(A)|sym_q_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 50 [] -sym_p_6(A)|sym_p_7(A)|sym_p_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 51 [] -sym_p_6(A)|sym_q_7(A)|sym_q_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 52 [] -sym_p_7(A)|sym_p_8(A)|sym_p_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 53 [] -sym_p_7(A)|sym_q_8(A)|sym_q_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 54 [] -sym_q_0(A)|sym_p_1(A)|sym_q_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 55 [] -sym_q_0(A)|sym_q_1(A)|sym_p_2(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 56 [] -sym_q_1(A)|sym_p_2(A)|sym_q_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 57 [] -sym_q_1(A)|sym_q_2(A)|sym_p_3(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 58 [] -sym_q_2(A)|sym_p_3(A)|sym_q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 59 [] -sym_q_2(A)|sym_q_3(A)|sym_p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 60 [] -sym_q_3(A)|sym_p_4(A)|sym_q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 61 [] -sym_q_3(A)|sym_q_4(A)|sym_p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 62 [] -sym_q_4(A)|sym_p_5(A)|sym_q_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 63 [] -sym_q_4(A)|sym_q_5(A)|sym_p_6(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 64 [] -sym_q_5(A)|sym_p_6(A)|sym_q_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 65 [] -sym_q_5(A)|sym_q_6(A)|sym_p_7(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 66 [] -sym_q_6(A)|sym_p_7(A)|sym_q_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 67 [] -sym_q_6(A)|sym_q_7(A)|sym_p_8(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 68 [] -sym_q_7(A)|sym_p_8(A)|sym_q_9(A).
% 1.85/2.04  ** KEPT (pick-wt=6): 69 [] -sym_q_7(A)|sym_q_8(A)|sym_p_9(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 70 [] -sym_p_9(A)|sym_p_4(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 71 [] -sym_p_10(A)|sym_p_5(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 72 [] -sym_q_9(A)|sym_q_4(A).
% 1.85/2.04  ** KEPT (pick-wt=4): 73 [] -sym_q_10(A)|sym_q_5(A).
% 1.85/2.04  ** KEPT (pick-wt=2): 74 [] -sym_p_8(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 75 [] -sym_p_9(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 76 [] -sym_q_8(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 77 [] -sym_q_9(a).
% 1.85/2.04  
% 1.85/2.04  ------------> process sos:
% 1.85/2.04  ** KEPT (pick-wt=2): 78 [] p_8(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 79 [] p_9(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 80 [] q_8(a).
% 1.85/2.04  ** KEPT (pick-wt=2): 81 [] q_9(a).
% 1.85/2.04  ** KEPT (pick-wt=4): 82 [] sym_p_0(A)|sym_q_0(A).
% 1.85/2.04  
% 1.85/2.04  ======= end of input processing =======
% 1.85/2.04  
% 1.85/2.04  =========== start of search ===========
% 1.85/2.04  
% 1.85/2.04  -------- PROOF -------- 
% 1.85/2.04  
% 1.85/2.04  -----> EMPTY CLAUSE at   0.00 sec ----> 110 [hyper,107,1,106] $F.
% 1.85/2.04  
% 1.85/2.04  Length of proof is 15.  Level of proof is 8.
% 1.85/2.04  
% 1.85/2.04  ---------------- PROOF ----------------
% 1.85/2.04  % SZS status Unsatisfiable
% 1.85/2.04  % SZS output start Refutation
% See solution above
% 1.85/2.04  ------------ end of proof -------------
% 1.85/2.04  
% 1.85/2.04  
% 1.85/2.04  Search stopped by max_proofs option.
% 1.85/2.04  
% 1.85/2.04  
% 1.85/2.04  Search stopped by max_proofs option.
% 1.85/2.04  
% 1.85/2.04  ============ end of search ============
% 1.85/2.04  
% 1.85/2.04  -------------- statistics -------------
% 1.85/2.04  clauses given                 27
% 1.85/2.04  clauses generated             47
% 1.85/2.04  clauses kept                 109
% 1.85/2.04  clauses forward subsumed      19
% 1.85/2.04  clauses back subsumed          0
% 1.85/2.04  Kbytes malloced              976
% 1.85/2.04  
% 1.85/2.04  ----------- times (seconds) -----------
% 1.85/2.04  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.85/2.04  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.85/2.04  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.85/2.04  
% 1.85/2.04  That finishes the proof of the theorem.
% 1.85/2.04  
% 1.85/2.04  Process 27335 finished Wed Jul 27 11:15:33 2022
% 1.85/2.04  Otter interrupted
% 1.85/2.04  PROOF FOUND
%------------------------------------------------------------------------------