TSTP Solution File: PUZ008-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : PUZ008-2 : TPTP v8.1.0. Released v1.0.0.
% 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 13:11:02 EDT 2022

% Result   : Unsatisfiable 1.94s 2.08s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   25 (  14 unt;   0 nHn;  25 RR)
%            Number of literals    :   36 (   0 equ;  12 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
    | banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
    | banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
    | banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
    | banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
    | banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
    | banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
    | banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
    | banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
    | banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
    | banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
    | banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(31,axiom,
    ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(32,axiom,
    banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
    file('PUZ008-2.p',unknown),
    [] ).

cnf(33,plain,
    banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast),
    inference(hyper,[status(thm)],[32,26]),
    [iquote('hyper,32,26')] ).

cnf(35,plain,
    banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
    inference(hyper,[status(thm)],[33,23]),
    [iquote('hyper,33,23')] ).

cnf(36,plain,
    banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
    inference(hyper,[status(thm)],[35,8]),
    [iquote('hyper,35,8')] ).

cnf(37,plain,
    banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
    inference(hyper,[status(thm)],[36,12]),
    [iquote('hyper,36,12')] ).

cnf(38,plain,
    banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
    inference(hyper,[status(thm)],[37,20]),
    [iquote('hyper,37,20')] ).

cnf(39,plain,
    banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
    inference(hyper,[status(thm)],[38,29]),
    [iquote('hyper,38,29')] ).

cnf(40,plain,
    banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
    inference(hyper,[status(thm)],[39,21]),
    [iquote('hyper,39,21')] ).

cnf(41,plain,
    banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
    inference(hyper,[status(thm)],[40,10]),
    [iquote('hyper,40,10')] ).

cnf(42,plain,
    banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
    inference(hyper,[status(thm)],[41,7]),
    [iquote('hyper,41,7')] ).

cnf(43,plain,
    banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest),
    inference(hyper,[status(thm)],[42,22]),
    [iquote('hyper,42,22')] ).

cnf(45,plain,
    banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
    inference(hyper,[status(thm)],[43,28]),
    [iquote('hyper,43,28')] ).

cnf(46,plain,
    $false,
    inference(binary,[status(thm)],[45,31]),
    [iquote('binary,45.1,31.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n018.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 01:50:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.94/2.08  ----- Otter 3.3f, August 2004 -----
% 1.94/2.08  The process was started by sandbox on n018.cluster.edu,
% 1.94/2.08  Wed Jul 27 01:50:46 2022
% 1.94/2.08  The command was "./otter".  The process ID is 4113.
% 1.94/2.08  
% 1.94/2.08  set(prolog_style_variables).
% 1.94/2.08  set(auto).
% 1.94/2.08     dependent: set(auto1).
% 1.94/2.08     dependent: set(process_input).
% 1.94/2.08     dependent: clear(print_kept).
% 1.94/2.08     dependent: clear(print_new_demod).
% 1.94/2.08     dependent: clear(print_back_demod).
% 1.94/2.08     dependent: clear(print_back_sub).
% 1.94/2.08     dependent: set(control_memory).
% 1.94/2.08     dependent: assign(max_mem, 12000).
% 1.94/2.08     dependent: assign(pick_given_ratio, 4).
% 1.94/2.08     dependent: assign(stats_level, 1).
% 1.94/2.08     dependent: assign(max_seconds, 10800).
% 1.94/2.08  clear(print_given).
% 1.94/2.08  
% 1.94/2.08  list(usable).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)|banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)|banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  0 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  0 [] banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  0 [] -banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  end_of_list.
% 1.94/2.08  
% 1.94/2.08  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.94/2.08  
% 1.94/2.08  This is a Horn set without equality.  The strategy will
% 1.94/2.08  be hyperresolution, with satellites in sos and nuclei
% 1.94/2.08  in usable.
% 1.94/2.08  
% 1.94/2.08     dependent: set(hyper_res).
% 1.94/2.08     dependent: clear(order_hyper).
% 1.94/2.08  
% 1.94/2.08  ------------> process usable:
% 1.94/2.08  ** KEPT (pick-wt=24): 1 [] -banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 2 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 3 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 4 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)|banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 5 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 6 [] -banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 7 [] -banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 8 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 9 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 10 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)|banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 11 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 12 [] -banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 13 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 14 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 15 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 16 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 17 [] -banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 18 [] -banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 19 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)|banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 20 [] -banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 21 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)|banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 22 [] -banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 23 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)|banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 24 [] -banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 25 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)|banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 26 [] -banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 27 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)|banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 28 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)|banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  ** KEPT (pick-wt=24): 29 [] -banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)|banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=24): 30 [] -banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)|banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  ** KEPT (pick-wt=12): 31 [] -banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast).
% 1.94/2.08  
% 1.94/2.08  ------------> process sos:
% 1.94/2.08  ** KEPT (pick-wt=12): 32 [] banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest).
% 1.94/2.08  32 back subsumes 30.
% 1.94/2.08  32 back subsumes 16.
% 1.94/2.08  32 back subsumes 13.
% 1.94/2.08  
% 1.94/2.08  ======= end of input processing =======
% 1.94/2.08  
% 1.94/2.08  =========== start of search ===========
% 1.94/2.08  
% 1.94/2.08  -------- PROOF -------- 
% 1.94/2.08  
% 1.94/2.08  ----> UNIT CONFLICT at   0.00 sec ----> 46 [binary,45.1,31.1] $F.
% 1.94/2.08  
% 1.94/2.08  Length of proof is 11.  Level of proof is 11.
% 1.94/2.08  
% 1.94/2.08  ---------------- PROOF ----------------
% 1.94/2.08  % SZS status Unsatisfiable
% 1.94/2.08  % SZS output start Refutation
% See solution above
% 1.94/2.08  ------------ end of proof -------------
% 1.94/2.08  
% 1.94/2.08  
% 1.94/2.08  Search stopped by max_proofs option.
% 1.94/2.08  
% 1.94/2.08  
% 1.94/2.08  Search stopped by max_proofs option.
% 1.94/2.08  
% 1.94/2.08  ============ end of search ============
% 1.94/2.08  
% 1.94/2.08  -------------- statistics -------------
% 1.94/2.08  clauses given                 12
% 1.94/2.08  clauses generated             13
% 1.94/2.08  clauses kept                  45
% 1.94/2.08  clauses forward subsumed       0
% 1.94/2.08  clauses back subsumed         27
% 1.94/2.08  Kbytes malloced              976
% 1.94/2.08  
% 1.94/2.08  ----------- times (seconds) -----------
% 1.94/2.08  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.94/2.08  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.94/2.08  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.94/2.08  
% 1.94/2.08  That finishes the proof of the theorem.
% 1.94/2.08  
% 1.94/2.08  Process 4113 finished Wed Jul 27 01:50:47 2022
% 1.94/2.08  Otter interrupted
% 1.94/2.08  PROOF FOUND
%------------------------------------------------------------------------------