TSTP Solution File: SYN096-1.008 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n005.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 1.82s 2.04s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   59 (  31 unt;   0 nHn;  59 RR)
%            Number of literals    :  114 (   0 equ;  56 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   31 (  30 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ p_0(A)
    | ~ q_0(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(3,axiom,
    ( p_0(A)
    | ~ q_1(A)
    | ~ q_2(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(7,axiom,
    ( p_2(A)
    | ~ q_3(A)
    | ~ q_4(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(9,axiom,
    ( p_3(A)
    | ~ q_4(A)
    | ~ q_5(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(11,axiom,
    ( p_4(A)
    | ~ q_5(A)
    | ~ q_6(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(13,axiom,
    ( p_5(A)
    | ~ q_6(A)
    | ~ q_7(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(15,axiom,
    ( p_6(A)
    | ~ q_7(A)
    | ~ q_8(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(17,axiom,
    ( p_7(A)
    | ~ q_8(A)
    | ~ q_9(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(19,axiom,
    ( p_8(A)
    | ~ q_9(A)
    | ~ q_10(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(21,axiom,
    ( p_9(A)
    | ~ q_10(A)
    | ~ q_11(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(23,axiom,
    ( p_10(A)
    | ~ q_11(A)
    | ~ q_12(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(25,axiom,
    ( p_11(A)
    | ~ q_12(A)
    | ~ q_13(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(26,axiom,
    ( p_12(A)
    | ~ p_13(A)
    | ~ p_14(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(28,axiom,
    ( p_13(A)
    | ~ p_14(A)
    | ~ p_15(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(31,axiom,
    ( q_0(A)
    | ~ q_1(A)
    | ~ p_2(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(33,axiom,
    ( q_1(A)
    | ~ q_2(A)
    | ~ p_3(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(35,axiom,
    ( q_2(A)
    | ~ q_3(A)
    | ~ p_4(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(37,axiom,
    ( q_3(A)
    | ~ q_4(A)
    | ~ p_5(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(39,axiom,
    ( q_4(A)
    | ~ q_5(A)
    | ~ p_6(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(41,axiom,
    ( q_5(A)
    | ~ q_6(A)
    | ~ p_7(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(43,axiom,
    ( q_6(A)
    | ~ q_7(A)
    | ~ p_8(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(45,axiom,
    ( q_7(A)
    | ~ q_8(A)
    | ~ p_9(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(47,axiom,
    ( q_8(A)
    | ~ q_9(A)
    | ~ p_10(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(49,axiom,
    ( q_9(A)
    | ~ q_10(A)
    | ~ p_11(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(51,axiom,
    ( q_10(A)
    | ~ q_11(A)
    | ~ p_12(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(53,axiom,
    ( q_11(A)
    | ~ q_12(A)
    | ~ p_13(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(54,axiom,
    ( q_12(A)
    | ~ p_13(A)
    | ~ q_14(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(57,axiom,
    ( q_13(A)
    | ~ q_14(A)
    | ~ p_15(A) ),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(62,axiom,
    p_14(a),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(63,axiom,
    p_15(a),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(64,axiom,
    q_14(a),
    file('SYN096-1.008.p',unknown),
    [] ).

cnf(66,plain,
    p_13(a),
    inference(hyper,[status(thm)],[63,28,62]),
    [iquote('hyper,63,28,62')] ).

cnf(67,plain,
    q_13(a),
    inference(hyper,[status(thm)],[64,57,63]),
    [iquote('hyper,64,57,63')] ).

cnf(68,plain,
    q_12(a),
    inference(hyper,[status(thm)],[66,54,64]),
    [iquote('hyper,66,54,64')] ).

cnf(69,plain,
    p_12(a),
    inference(hyper,[status(thm)],[66,26,62]),
    [iquote('hyper,66,26,62')] ).

cnf(70,plain,
    q_11(a),
    inference(hyper,[status(thm)],[68,53,66]),
    [iquote('hyper,68,53,66')] ).

cnf(71,plain,
    p_11(a),
    inference(hyper,[status(thm)],[68,25,67]),
    [iquote('hyper,68,25,67')] ).

cnf(72,plain,
    q_10(a),
    inference(hyper,[status(thm)],[70,51,69]),
    [iquote('hyper,70,51,69')] ).

cnf(73,plain,
    p_10(a),
    inference(hyper,[status(thm)],[70,23,68]),
    [iquote('hyper,70,23,68')] ).

cnf(74,plain,
    q_9(a),
    inference(hyper,[status(thm)],[72,49,71]),
    [iquote('hyper,72,49,71')] ).

cnf(75,plain,
    p_9(a),
    inference(hyper,[status(thm)],[72,21,70]),
    [iquote('hyper,72,21,70')] ).

cnf(76,plain,
    q_8(a),
    inference(hyper,[status(thm)],[74,47,73]),
    [iquote('hyper,74,47,73')] ).

cnf(77,plain,
    p_8(a),
    inference(hyper,[status(thm)],[74,19,72]),
    [iquote('hyper,74,19,72')] ).

cnf(79,plain,
    q_7(a),
    inference(hyper,[status(thm)],[76,45,75]),
    [iquote('hyper,76,45,75')] ).

cnf(80,plain,
    p_7(a),
    inference(hyper,[status(thm)],[76,17,74]),
    [iquote('hyper,76,17,74')] ).

cnf(82,plain,
    q_6(a),
    inference(hyper,[status(thm)],[79,43,77]),
    [iquote('hyper,79,43,77')] ).

cnf(83,plain,
    p_6(a),
    inference(hyper,[status(thm)],[79,15,76]),
    [iquote('hyper,79,15,76')] ).

cnf(84,plain,
    q_5(a),
    inference(hyper,[status(thm)],[82,41,80]),
    [iquote('hyper,82,41,80')] ).

cnf(85,plain,
    p_5(a),
    inference(hyper,[status(thm)],[82,13,79]),
    [iquote('hyper,82,13,79')] ).

cnf(86,plain,
    q_4(a),
    inference(hyper,[status(thm)],[84,39,83]),
    [iquote('hyper,84,39,83')] ).

cnf(87,plain,
    p_4(a),
    inference(hyper,[status(thm)],[84,11,82]),
    [iquote('hyper,84,11,82')] ).

cnf(88,plain,
    q_3(a),
    inference(hyper,[status(thm)],[86,37,85]),
    [iquote('hyper,86,37,85')] ).

cnf(89,plain,
    p_3(a),
    inference(hyper,[status(thm)],[86,9,84]),
    [iquote('hyper,86,9,84')] ).

cnf(90,plain,
    q_2(a),
    inference(hyper,[status(thm)],[88,35,87]),
    [iquote('hyper,88,35,87')] ).

cnf(91,plain,
    p_2(a),
    inference(hyper,[status(thm)],[88,7,86]),
    [iquote('hyper,88,7,86')] ).

cnf(92,plain,
    q_1(a),
    inference(hyper,[status(thm)],[90,33,89]),
    [iquote('hyper,90,33,89')] ).

cnf(94,plain,
    q_0(a),
    inference(hyper,[status(thm)],[92,31,91]),
    [iquote('hyper,92,31,91')] ).

cnf(95,plain,
    p_0(a),
    inference(hyper,[status(thm)],[92,3,90]),
    [iquote('hyper,92,3,90')] ).

cnf(96,plain,
    $false,
    inference(hyper,[status(thm)],[95,1,94]),
    [iquote('hyper,95,1,94')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n005.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 11:14:35 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.82/2.04  ----- Otter 3.3f, August 2004 -----
% 1.82/2.04  The process was started by sandbox2 on n005.cluster.edu,
% 1.82/2.04  Wed Jul 27 11:14:35 2022
% 1.82/2.04  The command was "./otter".  The process ID is 13250.
% 1.82/2.04  
% 1.82/2.04  set(prolog_style_variables).
% 1.82/2.04  set(auto).
% 1.82/2.04     dependent: set(auto1).
% 1.82/2.04     dependent: set(process_input).
% 1.82/2.04     dependent: clear(print_kept).
% 1.82/2.04     dependent: clear(print_new_demod).
% 1.82/2.04     dependent: clear(print_back_demod).
% 1.82/2.04     dependent: clear(print_back_sub).
% 1.82/2.04     dependent: set(control_memory).
% 1.82/2.04     dependent: assign(max_mem, 12000).
% 1.82/2.04     dependent: assign(pick_given_ratio, 4).
% 1.82/2.04     dependent: assign(stats_level, 1).
% 1.82/2.04     dependent: assign(max_seconds, 10800).
% 1.82/2.04  clear(print_given).
% 1.82/2.04  
% 1.82/2.04  list(usable).
% 1.82/2.04  0 [] -p_0(X)| -q_0(X).
% 1.82/2.04  0 [] p_0(X)| -p_1(X)| -p_2(X).
% 1.82/2.04  0 [] p_0(X)| -q_1(X)| -q_2(X).
% 1.82/2.04  0 [] p_1(X)| -p_2(X)| -p_3(X).
% 1.82/2.04  0 [] p_1(X)| -q_2(X)| -q_3(X).
% 1.82/2.04  0 [] p_2(X)| -p_3(X)| -p_4(X).
% 1.82/2.04  0 [] p_2(X)| -q_3(X)| -q_4(X).
% 1.82/2.04  0 [] p_3(X)| -p_4(X)| -p_5(X).
% 1.82/2.04  0 [] p_3(X)| -q_4(X)| -q_5(X).
% 1.82/2.04  0 [] p_4(X)| -p_5(X)| -p_6(X).
% 1.82/2.04  0 [] p_4(X)| -q_5(X)| -q_6(X).
% 1.82/2.04  0 [] p_5(X)| -p_6(X)| -p_7(X).
% 1.82/2.04  0 [] p_5(X)| -q_6(X)| -q_7(X).
% 1.82/2.04  0 [] p_6(X)| -p_7(X)| -p_8(X).
% 1.82/2.04  0 [] p_6(X)| -q_7(X)| -q_8(X).
% 1.82/2.04  0 [] p_7(X)| -p_8(X)| -p_9(X).
% 1.82/2.04  0 [] p_7(X)| -q_8(X)| -q_9(X).
% 1.82/2.04  0 [] p_8(X)| -p_9(X)| -p_10(X).
% 1.82/2.04  0 [] p_8(X)| -q_9(X)| -q_10(X).
% 1.82/2.04  0 [] p_9(X)| -p_10(X)| -p_11(X).
% 1.82/2.04  0 [] p_9(X)| -q_10(X)| -q_11(X).
% 1.82/2.04  0 [] p_10(X)| -p_11(X)| -p_12(X).
% 1.82/2.04  0 [] p_10(X)| -q_11(X)| -q_12(X).
% 1.82/2.04  0 [] p_11(X)| -p_12(X)| -p_13(X).
% 1.82/2.04  0 [] p_11(X)| -q_12(X)| -q_13(X).
% 1.82/2.04  0 [] p_12(X)| -p_13(X)| -p_14(X).
% 1.82/2.04  0 [] p_12(X)| -q_13(X)| -q_14(X).
% 1.82/2.04  0 [] p_13(X)| -p_14(X)| -p_15(X).
% 1.82/2.04  0 [] p_13(X)| -q_14(X)| -q_15(X).
% 1.82/2.04  0 [] q_0(X)| -p_1(X)| -q_2(X).
% 1.82/2.04  0 [] q_0(X)| -q_1(X)| -p_2(X).
% 1.82/2.04  0 [] q_1(X)| -p_2(X)| -q_3(X).
% 1.82/2.04  0 [] q_1(X)| -q_2(X)| -p_3(X).
% 1.82/2.04  0 [] q_2(X)| -p_3(X)| -q_4(X).
% 1.82/2.04  0 [] q_2(X)| -q_3(X)| -p_4(X).
% 1.82/2.04  0 [] q_3(X)| -p_4(X)| -q_5(X).
% 1.82/2.04  0 [] q_3(X)| -q_4(X)| -p_5(X).
% 1.82/2.04  0 [] q_4(X)| -p_5(X)| -q_6(X).
% 1.82/2.04  0 [] q_4(X)| -q_5(X)| -p_6(X).
% 1.82/2.04  0 [] q_5(X)| -p_6(X)| -q_7(X).
% 1.82/2.04  0 [] q_5(X)| -q_6(X)| -p_7(X).
% 1.82/2.04  0 [] q_6(X)| -p_7(X)| -q_8(X).
% 1.82/2.04  0 [] q_6(X)| -q_7(X)| -p_8(X).
% 1.82/2.04  0 [] q_7(X)| -p_8(X)| -q_9(X).
% 1.82/2.04  0 [] q_7(X)| -q_8(X)| -p_9(X).
% 1.82/2.04  0 [] q_8(X)| -p_9(X)| -q_10(X).
% 1.82/2.04  0 [] q_8(X)| -q_9(X)| -p_10(X).
% 1.82/2.04  0 [] q_9(X)| -p_10(X)| -q_11(X).
% 1.82/2.04  0 [] q_9(X)| -q_10(X)| -p_11(X).
% 1.82/2.04  0 [] q_10(X)| -p_11(X)| -q_12(X).
% 1.82/2.04  0 [] q_10(X)| -q_11(X)| -p_12(X).
% 1.82/2.04  0 [] q_11(X)| -p_12(X)| -q_13(X).
% 1.82/2.04  0 [] q_11(X)| -q_12(X)| -p_13(X).
% 1.82/2.04  0 [] q_12(X)| -p_13(X)| -q_14(X).
% 1.82/2.04  0 [] q_12(X)| -q_13(X)| -p_14(X).
% 1.82/2.04  0 [] q_13(X)| -p_14(X)| -q_15(X).
% 1.82/2.04  0 [] q_13(X)| -q_14(X)| -p_15(X).
% 1.82/2.04  0 [] p_15(X)| -p_7(X).
% 1.82/2.04  0 [] p_16(X)| -p_8(X).
% 1.82/2.04  0 [] q_15(X)| -q_7(X).
% 1.82/2.04  0 [] q_16(X)| -q_8(X).
% 1.82/2.04  0 [] p_14(a).
% 1.82/2.04  0 [] p_15(a).
% 1.82/2.04  0 [] q_14(a).
% 1.82/2.04  0 [] q_15(a).
% 1.82/2.04  end_of_list.
% 1.82/2.04  
% 1.82/2.04  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.82/2.04  
% 1.82/2.04  This is a Horn set without equality.  The strategy will
% 1.82/2.04  be hyperresolution, with satellites in sos and nuclei
% 1.82/2.04  in usable.
% 1.82/2.04  
% 1.82/2.04     dependent: set(hyper_res).
% 1.82/2.04     dependent: clear(order_hyper).
% 1.82/2.04  
% 1.82/2.04  ------------> process usable:
% 1.82/2.04  ** KEPT (pick-wt=4): 1 [] -p_0(A)| -q_0(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 2 [] p_0(A)| -p_1(A)| -p_2(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 3 [] p_0(A)| -q_1(A)| -q_2(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 4 [] p_1(A)| -p_2(A)| -p_3(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 5 [] p_1(A)| -q_2(A)| -q_3(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 6 [] p_2(A)| -p_3(A)| -p_4(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 7 [] p_2(A)| -q_3(A)| -q_4(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 8 [] p_3(A)| -p_4(A)| -p_5(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 9 [] p_3(A)| -q_4(A)| -q_5(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 10 [] p_4(A)| -p_5(A)| -p_6(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 11 [] p_4(A)| -q_5(A)| -q_6(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 12 [] p_5(A)| -p_6(A)| -p_7(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 13 [] p_5(A)| -q_6(A)| -q_7(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 14 [] p_6(A)| -p_7(A)| -p_8(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 15 [] p_6(A)| -q_7(A)| -q_8(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 16 [] p_7(A)| -p_8(A)| -p_9(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 17 [] p_7(A)| -q_8(A)| -q_9(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 18 [] p_8(A)| -p_9(A)| -p_10(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 19 [] p_8(A)| -q_9(A)| -q_10(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 20 [] p_9(A)| -p_10(A)| -p_11(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 21 [] p_9(A)| -q_10(A)| -q_11(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 22 [] p_10(A)| -p_11(A)| -p_12(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 23 [] p_10(A)| -q_11(A)| -q_12(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 24 [] p_11(A)| -p_12(A)| -p_13(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 25 [] p_11(A)| -q_12(A)| -q_13(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 26 [] p_12(A)| -p_13(A)| -p_14(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 27 [] p_12(A)| -q_13(A)| -q_14(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 28 [] p_13(A)| -p_14(A)| -p_15(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 29 [] p_13(A)| -q_14(A)| -q_15(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 30 [] q_0(A)| -p_1(A)| -q_2(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 31 [] q_0(A)| -q_1(A)| -p_2(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 32 [] q_1(A)| -p_2(A)| -q_3(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 33 [] q_1(A)| -q_2(A)| -p_3(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 34 [] q_2(A)| -p_3(A)| -q_4(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 35 [] q_2(A)| -q_3(A)| -p_4(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 36 [] q_3(A)| -p_4(A)| -q_5(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 37 [] q_3(A)| -q_4(A)| -p_5(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 38 [] q_4(A)| -p_5(A)| -q_6(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 39 [] q_4(A)| -q_5(A)| -p_6(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 40 [] q_5(A)| -p_6(A)| -q_7(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 41 [] q_5(A)| -q_6(A)| -p_7(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 42 [] q_6(A)| -p_7(A)| -q_8(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 43 [] q_6(A)| -q_7(A)| -p_8(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 44 [] q_7(A)| -p_8(A)| -q_9(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 45 [] q_7(A)| -q_8(A)| -p_9(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 46 [] q_8(A)| -p_9(A)| -q_10(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 47 [] q_8(A)| -q_9(A)| -p_10(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 48 [] q_9(A)| -p_10(A)| -q_11(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 49 [] q_9(A)| -q_10(A)| -p_11(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 50 [] q_10(A)| -p_11(A)| -q_12(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 51 [] q_10(A)| -q_11(A)| -p_12(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 52 [] q_11(A)| -p_12(A)| -q_13(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 53 [] q_11(A)| -q_12(A)| -p_13(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 54 [] q_12(A)| -p_13(A)| -q_14(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 55 [] q_12(A)| -q_13(A)| -p_14(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 56 [] q_13(A)| -p_14(A)| -q_15(A).
% 1.82/2.04  ** KEPT (pick-wt=6): 57 [] q_13(A)| -q_14(A)| -p_15(A).
% 1.82/2.04  ** KEPT (pick-wt=4): 58 [] p_15(A)| -p_7(A).
% 1.82/2.04  ** KEPT (pick-wt=4): 59 [] p_16(A)| -p_8(A).
% 1.82/2.04  ** KEPT (pick-wt=4): 60 [] q_15(A)| -q_7(A).
% 1.82/2.04  ** KEPT (pick-wt=4): 61 [] q_16(A)| -q_8(A).
% 1.82/2.04  
% 1.82/2.04  ------------> process sos:
% 1.82/2.04  ** KEPT (pick-wt=2): 62 [] p_14(a).
% 1.82/2.04  ** KEPT (pick-wt=2): 63 [] p_15(a).
% 1.82/2.04  ** KEPT (pick-wt=2): 64 [] q_14(a).
% 1.82/2.04  ** KEPT (pick-wt=2): 65 [] q_15(a).
% 1.82/2.04  
% 1.82/2.04  ======= end of input processing =======
% 1.82/2.04  
% 1.82/2.04  =========== start of search ===========
% 1.82/2.04  
% 1.82/2.04  -------- PROOF -------- 
% 1.82/2.04  
% 1.82/2.04  -----> EMPTY CLAUSE at   0.00 sec ----> 96 [hyper,95,1,94] $F.
% 1.82/2.04  
% 1.82/2.04  Length of proof is 27.  Level of proof is 14.
% 1.82/2.04  
% 1.82/2.04  ---------------- PROOF ----------------
% 1.82/2.04  % SZS status Unsatisfiable
% 1.82/2.04  % SZS output start Refutation
% See solution above
% 1.82/2.04  ------------ end of proof -------------
% 1.82/2.04  
% 1.82/2.04  
% 1.82/2.04  Search stopped by max_proofs option.
% 1.82/2.04  
% 1.82/2.04  
% 1.82/2.04  Search stopped by max_proofs option.
% 1.82/2.04  
% 1.82/2.04  ============ end of search ============
% 1.82/2.04  
% 1.82/2.04  -------------- statistics -------------
% 1.82/2.04  clauses given                 34
% 1.82/2.04  clauses generated             61
% 1.82/2.04  clauses kept                  95
% 1.82/2.04  clauses forward subsumed      30
% 1.82/2.04  clauses back subsumed          0
% 1.82/2.04  Kbytes malloced              976
% 1.82/2.04  
% 1.82/2.04  ----------- times (seconds) -----------
% 1.82/2.04  user CPU time          0.01          (0 hr, 0 min, 0 sec)
% 1.82/2.04  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.82/2.04  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.82/2.04  
% 1.82/2.04  That finishes the proof of the theorem.
% 1.82/2.04  
% 1.82/2.04  Process 13250 finished Wed Jul 27 11:14:37 2022
% 1.82/2.04  Otter interrupted
% 1.82/2.04  PROOF FOUND
%------------------------------------------------------------------------------