TSTP Solution File: SYN036-3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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 13:23:20 EDT 2022

% Result   : Unsatisfiable 1.96s 2.15s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   77 (  10 unt;  44 nHn;  55 RR)
%            Number of literals    :  188 (   0 equ;  40 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   34 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(6,axiom,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ p(s8)
    | n8 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ n8
    | p(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ p(A)
    | n7 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ n7
    | p(s7) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ n5(A)
    | n6 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ n6
    | n5(s6) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ q(A)
    | ~ q(s5(A))
    | n5(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ n5(A)
    | ~ q(A)
    | q(B) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ n5(A)
    | q(A)
    | ~ q(B) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ q(s4)
    | n4 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ n4
    | q(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ q(A)
    | n3 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ n3
    | q(s3) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ n1(A)
    | n2 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ n2
    | n1(s2) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ p(A)
    | ~ p(s1(A))
    | n1(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ n1(A)
    | ~ p(A)
    | p(B) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ n1(A)
    | p(A)
    | ~ p(B) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ n3
    | ~ n4
    | n9 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ n3
    | n4
    | ~ n9 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ n7
    | ~ n8
    | n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ n7
    | n8
    | ~ n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(32,axiom,
    ( n2
    | n9
    | n6
    | n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(33,axiom,
    ( q(A)
    | q(s5(A))
    | n5(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(34,axiom,
    ( p(A)
    | p(s1(A))
    | n1(A) ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(35,axiom,
    ( n3
    | n4
    | n9 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(36,axiom,
    ( n7
    | n8
    | n10 ),
    file('SYN036-3.p',unknown),
    [] ).

cnf(37,plain,
    ( n7
    | n10
    | p(A) ),
    inference(hyper,[status(thm)],[36,9]),
    [iquote('hyper,36,9')] ).

cnf(39,plain,
    ( n7
    | n10 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[37,10])]),
    [iquote('hyper,37,10,factor_simp')] ).

cnf(40,plain,
    ( n10
    | p(s7) ),
    inference(hyper,[status(thm)],[39,11]),
    [iquote('hyper,39,11')] ).

cnf(44,plain,
    ( q(A)
    | n5(A)
    | n3 ),
    inference(hyper,[status(thm)],[33,19]),
    [iquote('hyper,33,19')] ).

cnf(45,plain,
    ( n5(A)
    | n3 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[44,19])]),
    [iquote('hyper,44,19,factor_simp')] ).

cnf(46,plain,
    ( n3
    | n6 ),
    inference(hyper,[status(thm)],[45,12]),
    [iquote('hyper,45,12')] ).

cnf(47,plain,
    ( n3
    | n2
    | n10
    | n4 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[46,6,35])]),
    [iquote('hyper,46,6,35,factor_simp')] ).

cnf(52,plain,
    ( p(A)
    | n1(A)
    | n7 ),
    inference(hyper,[status(thm)],[34,10]),
    [iquote('hyper,34,10')] ).

cnf(53,plain,
    ( n3
    | n2
    | n10
    | q(A) ),
    inference(hyper,[status(thm)],[47,18]),
    [iquote('hyper,47,18')] ).

cnf(55,plain,
    ( n1(A)
    | n7 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[52,10])]),
    [iquote('hyper,52,10,factor_simp')] ).

cnf(56,plain,
    ( n7
    | n2 ),
    inference(hyper,[status(thm)],[55,21]),
    [iquote('hyper,55,21')] ).

cnf(60,plain,
    ( n3
    | n2
    | n10 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,19])]),
    [iquote('hyper,53,19,factor_simp')] ).

cnf(61,plain,
    ( n2
    | n10
    | n4
    | n6 ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[60,27,32])])]),
    [iquote('hyper,60,27,32,factor_simp,factor_simp')] ).

cnf(62,plain,
    ( n2
    | n10
    | q(s3) ),
    inference(hyper,[status(thm)],[60,20]),
    [iquote('hyper,60,20')] ).

cnf(63,plain,
    ( n2
    | n10
    | n4
    | n5(s6) ),
    inference(hyper,[status(thm)],[61,13]),
    [iquote('hyper,61,13')] ).

cnf(69,plain,
    ( n2
    | n10
    | n4
    | q(s6) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,16,62])])]),
    [iquote('hyper,63,16,62,factor_simp,factor_simp')] ).

cnf(70,plain,
    ( n2
    | n10
    | n4
    | q(A) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[69,15,63])])])]),
    [iquote('hyper,69,15,63,factor_simp,factor_simp,factor_simp')] ).

cnf(71,plain,
    ( n2
    | n10
    | n4 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[70,17])]),
    [iquote('hyper,70,17,factor_simp')] ).

cnf(73,plain,
    ( n2
    | n10
    | n9 ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[71,26,60])])]),
    [iquote('hyper,71,26,60,factor_simp,factor_simp')] ).

cnf(74,plain,
    ( n2
    | n10
    | q(A) ),
    inference(hyper,[status(thm)],[71,18]),
    [iquote('hyper,71,18')] ).

cnf(75,plain,
    ( n2
    | n10
    | n5(A) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[74,14,74])])]),
    [iquote('hyper,74,14,74,factor_simp,factor_simp')] ).

cnf(76,plain,
    ( n2
    | n10
    | n6 ),
    inference(hyper,[status(thm)],[75,12]),
    [iquote('hyper,75,12')] ).

cnf(82,plain,
    ( n2
    | n10 ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[76,6,73])])])])]),
    [iquote('hyper,76,6,73,factor_simp,factor_simp,factor_simp,factor_simp')] ).

cnf(83,plain,
    ( n10
    | n1(s2) ),
    inference(hyper,[status(thm)],[82,22]),
    [iquote('hyper,82,22')] ).

cnf(88,plain,
    ( n10
    | p(s2) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[83,25,40])]),
    [iquote('hyper,83,25,40,factor_simp')] ).

cnf(90,plain,
    ( n10
    | p(A) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[88,24,83])]),
    [iquote('hyper,88,24,83,factor_simp')] ).

cnf(92,plain,
    ( n10
    | n8 ),
    inference(hyper,[status(thm)],[90,8]),
    [iquote('hyper,90,8')] ).

cnf(93,plain,
    n10,
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[92,29,39])])]),
    [iquote('hyper,92,29,39,factor_simp,factor_simp')] ).

cnf(94,plain,
    ( n8
    | n2 ),
    inference(hyper,[status(thm)],[93,30,56]),
    [iquote('hyper,93,30,56')] ).

cnf(97,plain,
    ( n2
    | p(A) ),
    inference(hyper,[status(thm)],[94,9]),
    [iquote('hyper,94,9')] ).

cnf(98,plain,
    ( n2
    | n1(A) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[97,23,97])]),
    [iquote('hyper,97,23,97,factor_simp')] ).

cnf(99,plain,
    n2,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[98,21])]),
    [iquote('hyper,98,21,factor_simp')] ).

cnf(104,plain,
    ( n9
    | n6 ),
    inference(hyper,[status(thm)],[99,5,93]),
    [iquote('hyper,99,5,93')] ).

cnf(105,plain,
    ( n3
    | n4 ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[99,1,35,46,93])]),
    [iquote('hyper,99,1,35,46,93,factor_simp')] ).

cnf(111,plain,
    ( n3
    | q(A) ),
    inference(hyper,[status(thm)],[105,18]),
    [iquote('hyper,105,18')] ).

cnf(115,plain,
    n3,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[111,19])]),
    [iquote('hyper,111,19,factor_simp')] ).

cnf(116,plain,
    ( n4
    | n6 ),
    inference(hyper,[status(thm)],[115,27,104]),
    [iquote('hyper,115,27,104')] ).

cnf(117,plain,
    q(s3),
    inference(hyper,[status(thm)],[115,20]),
    [iquote('hyper,115,20')] ).

cnf(118,plain,
    ( n4
    | n5(s6) ),
    inference(hyper,[status(thm)],[116,13]),
    [iquote('hyper,116,13')] ).

cnf(124,plain,
    ( n4
    | q(s6) ),
    inference(hyper,[status(thm)],[118,16,117]),
    [iquote('hyper,118,16,117')] ).

cnf(125,plain,
    ( n4
    | q(A) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[124,15,118])]),
    [iquote('hyper,124,15,118,factor_simp')] ).

cnf(126,plain,
    n4,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[125,17])]),
    [iquote('hyper,125,17,factor_simp')] ).

cnf(127,plain,
    n9,
    inference(hyper,[status(thm)],[126,26,115]),
    [iquote('hyper,126,26,115')] ).

cnf(128,plain,
    q(A),
    inference(hyper,[status(thm)],[126,18]),
    [iquote('hyper,126,18')] ).

cnf(132,plain,
    n5(A),
    inference(hyper,[status(thm)],[128,14,128]),
    [iquote('hyper,128,14,128')] ).

cnf(133,plain,
    n6,
    inference(hyper,[status(thm)],[132,12]),
    [iquote('hyper,132,12')] ).

cnf(134,plain,
    $false,
    inference(hyper,[status(thm)],[133,1,99,127,93]),
    [iquote('hyper,133,1,99,127,93')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 11:02:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.96/2.15  ----- Otter 3.3f, August 2004 -----
% 1.96/2.15  The process was started by sandbox on n020.cluster.edu,
% 1.96/2.15  Wed Jul 27 11:02:53 2022
% 1.96/2.15  The command was "./otter".  The process ID is 13393.
% 1.96/2.15  
% 1.96/2.15  set(prolog_style_variables).
% 1.96/2.15  set(auto).
% 1.96/2.15     dependent: set(auto1).
% 1.96/2.15     dependent: set(process_input).
% 1.96/2.15     dependent: clear(print_kept).
% 1.96/2.15     dependent: clear(print_new_demod).
% 1.96/2.15     dependent: clear(print_back_demod).
% 1.96/2.15     dependent: clear(print_back_sub).
% 1.96/2.15     dependent: set(control_memory).
% 1.96/2.15     dependent: assign(max_mem, 12000).
% 1.96/2.15     dependent: assign(pick_given_ratio, 4).
% 1.96/2.15     dependent: assign(stats_level, 1).
% 1.96/2.15     dependent: assign(max_seconds, 10800).
% 1.96/2.15  clear(print_given).
% 1.96/2.15  
% 1.96/2.15  list(usable).
% 1.96/2.15  0 [] -n2| -n9| -n6| -n10.
% 1.96/2.15  0 [] -n2| -n9|n6|n10.
% 1.96/2.15  0 [] n2|n9| -n6| -n10.
% 1.96/2.15  0 [] n2|n9|n6|n10.
% 1.96/2.15  0 [] -n2|n9| -n6|n10.
% 1.96/2.15  0 [] -n2|n9|n6| -n10.
% 1.96/2.15  0 [] n2| -n9| -n6|n10.
% 1.96/2.15  0 [] n2| -n9|n6| -n10.
% 1.96/2.15  0 [] -p(s8)|n8.
% 1.96/2.15  0 [] -n8|p(X8).
% 1.96/2.15  0 [] -p(X7)|n7.
% 1.96/2.15  0 [] -n7|p(s7).
% 1.96/2.15  0 [] -n5(X6)|n6.
% 1.96/2.15  0 [] -n6|n5(s6).
% 1.96/2.15  0 [] -q(X)| -q(s5(X))|n5(X).
% 1.96/2.15  0 [] q(X)|q(s5(X))|n5(X).
% 1.96/2.15  0 [] -n5(X)| -q(X)|q(X5).
% 1.96/2.15  0 [] -n5(X)|q(X)| -q(X5).
% 1.96/2.15  0 [] -q(s4)|n4.
% 1.96/2.15  0 [] -n4|q(X4).
% 1.96/2.15  0 [] -q(X3)|n3.
% 1.96/2.15  0 [] -n3|q(s3).
% 1.96/2.15  0 [] -n1(X2)|n2.
% 1.96/2.15  0 [] -n2|n1(s2).
% 1.96/2.15  0 [] -p(X)| -p(s1(X))|n1(X).
% 1.96/2.15  0 [] p(X)|p(s1(X))|n1(X).
% 1.96/2.15  0 [] -n1(X)| -p(X)|p(X1).
% 1.96/2.15  0 [] -n1(X)|p(X)| -p(X1).
% 1.96/2.15  0 [] -n3| -n4|n9.
% 1.96/2.15  0 [] n3|n4|n9.
% 1.96/2.15  0 [] -n3|n4| -n9.
% 1.96/2.15  0 [] n3| -n4| -n9.
% 1.96/2.15  0 [] -n7| -n8|n10.
% 1.96/2.15  0 [] n7|n8|n10.
% 1.96/2.15  0 [] -n7|n8| -n10.
% 1.96/2.15  0 [] n7| -n8| -n10.
% 1.96/2.15  end_of_list.
% 1.96/2.15  
% 1.96/2.15  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.96/2.15  
% 1.96/2.15  This is a non-Horn set without equality.  The strategy will
% 1.96/2.15  be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.15  satellites in sos and with nuclei in usable.
% 1.96/2.15  
% 1.96/2.15     dependent: set(hyper_res).
% 1.96/2.15     dependent: set(factor).
% 1.96/2.15     dependent: set(unit_deletion).
% 1.96/2.15  
% 1.96/2.15  ------------> process usable:
% 1.96/2.15  ** KEPT (pick-wt=4): 1 [] -n2| -n9| -n6| -n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 2 [] -n2| -n9|n6|n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 3 [] n2|n9| -n6| -n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 4 [] -n2|n9| -n6|n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 5 [] -n2|n9|n6| -n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 6 [] n2| -n9| -n6|n10.
% 1.96/2.15  ** KEPT (pick-wt=4): 7 [] n2| -n9|n6| -n10.
% 1.96/2.15  ** KEPT (pick-wt=3): 8 [] -p(s8)|n8.
% 1.96/2.15  ** KEPT (pick-wt=3): 9 [] -n8|p(A).
% 1.96/2.15  ** KEPT (pick-wt=3): 10 [] -p(A)|n7.
% 1.96/2.15  ** KEPT (pick-wt=3): 11 [] -n7|p(s7).
% 1.96/2.15  ** KEPT (pick-wt=3): 12 [] -n5(A)|n6.
% 1.96/2.15  ** KEPT (pick-wt=3): 13 [] -n6|n5(s6).
% 1.96/2.15  ** KEPT (pick-wt=7): 14 [] -q(A)| -q(s5(A))|n5(A).
% 1.96/2.15  ** KEPT (pick-wt=6): 15 [] -n5(A)| -q(A)|q(B).
% 1.96/2.15  ** KEPT (pick-wt=6): 16 [] -n5(A)|q(A)| -q(B).
% 1.96/2.15  ** KEPT (pick-wt=3): 17 [] -q(s4)|n4.
% 1.96/2.15  ** KEPT (pick-wt=3): 18 [] -n4|q(A).
% 1.96/2.15  ** KEPT (pick-wt=3): 19 [] -q(A)|n3.
% 1.96/2.15  ** KEPT (pick-wt=3): 20 [] -n3|q(s3).
% 1.96/2.15  ** KEPT (pick-wt=3): 21 [] -n1(A)|n2.
% 1.96/2.15  ** KEPT (pick-wt=3): 22 [] -n2|n1(s2).
% 1.96/2.15  ** KEPT (pick-wt=7): 23 [] -p(A)| -p(s1(A))|n1(A).
% 1.96/2.15  ** KEPT (pick-wt=6): 24 [] -n1(A)| -p(A)|p(B).
% 1.96/2.15  ** KEPT (pick-wt=6): 25 [] -n1(A)|p(A)| -p(B).
% 1.96/2.15  ** KEPT (pick-wt=3): 26 [] -n3| -n4|n9.
% 1.96/2.15  ** KEPT (pick-wt=3): 27 [] -n3|n4| -n9.
% 1.96/2.15  ** KEPT (pick-wt=3): 28 [] n3| -n4| -n9.
% 1.96/2.15  ** KEPT (pick-wt=3): 29 [] -n7| -n8|n10.
% 1.96/2.15  ** KEPT (pick-wt=3): 30 [] -n7|n8| -n10.
% 1.96/2.15  ** KEPT (pick-wt=3): 31 [] n7| -n8| -n10.
% 1.96/2.15  
% 1.96/2.15  ------------> process sos:
% 1.96/2.15  ** KEPT (pick-wt=4): 32 [] n2|n9|n6|n10.
% 1.96/2.15  ** KEPT (pick-wt=7): 33 [] q(A)|q(s5(A))|n5(A).
% 1.96/2.15  ** KEPT (pick-wt=7): 34 [] p(A)|p(s1(A))|n1(A).
% 1.96/2.15  ** KEPT (pick-wt=3): 35 [] n3|n4|n9.
% 1.96/2.15  ** KEPT (pick-wt=3): 36 [] n7|n8|n10.
% 1.96/2.15  
% 1.96/2.15  ======= end of input processing =======
% 1.96/2.15  
% 1.96/2.15  =========== start of search ===========
% 1.96/2.15  
% 1.96/2.15  -------- PROOF -------- 
% 1.96/2.15  
% 1.96/2.15  -----> EMPTY CLAUSE at   0.02 sec ----> 134 [hyper,133,1,99,127,93] $F.
% 1.96/2.15  
% 1.96/2.15  Length of proof is 46.  Level of proof is 35.
% 1.96/2.15  
% 1.96/2.15  ---------------- PROOF ----------------
% 1.96/2.15  % SZS status Unsatisfiable
% 1.96/2.15  % SZS output start Refutation
% See solution above
% 1.96/2.15  ------------ end of proof -------------
% 1.96/2.15  
% 1.96/2.15  
% 1.96/2.15  Search stopped by max_proofs option.
% 1.96/2.15  
% 1.96/2.15  
% 1.96/2.15  Search stopped by max_proofs option.
% 1.96/2.15  
% 1.96/2.15  ============ end of search ============
% 1.96/2.15  
% 1.96/2.15  -------------- statistics -------------
% 1.96/2.15  clauses given                 65
% 1.96/2.15  clauses generated            565
% 1.96/2.15  clauses kept                 133
% 1.96/2.15  clauses forward subsumed     467
% 1.96/2.15  clauses back subsumed        100
% 1.96/2.15  Kbytes malloced              976
% 1.96/2.15  
% 1.96/2.15  ----------- times (seconds) -----------
% 1.96/2.15  user CPU time          0.02          (0 hr, 0 min, 0 sec)
% 1.96/2.15  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.96/2.15  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.96/2.15  
% 1.96/2.15  That finishes the proof of the theorem.
% 1.96/2.15  
% 1.96/2.15  Process 13393 finished Wed Jul 27 11:02:55 2022
% 1.96/2.15  Otter interrupted
% 1.96/2.15  PROOF FOUND
%------------------------------------------------------------------------------