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Otter---3.3.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU129+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n008.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 13:14:50 EDT 2022

% Result   : Theorem 2.00s 2.17s
% Output   : Refutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (   1 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(24,axiom,
    ( ~ subset(A,B)
    | ~ subset(A,C)
    | subset(A,set_intersection2(B,C)) ),
    file('SEU129+2.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ subset(A,B)
    | ~ subset(B,C)
    | subset(A,C) ),
    file('SEU129+2.p',unknown),
    [] ).

cnf(26,axiom,
    ~ subset(set_intersection2(dollar_c5,dollar_c3),set_intersection2(dollar_c4,dollar_c3)),
    file('SEU129+2.p',unknown),
    [] ).

cnf(50,axiom,
    set_intersection2(A,B) = set_intersection2(B,A),
    file('SEU129+2.p',unknown),
    [] ).

cnf(63,axiom,
    subset(set_intersection2(A,B),A),
    file('SEU129+2.p',unknown),
    [] ).

cnf(66,axiom,
    subset(dollar_c5,dollar_c4),
    file('SEU129+2.p',unknown),
    [] ).

cnf(197,plain,
    subset(set_intersection2(dollar_c5,A),dollar_c4),
    inference(hyper,[status(thm)],[63,25,66]),
    [iquote('hyper,63,25,66')] ).

cnf(204,plain,
    subset(set_intersection2(A,B),B),
    inference(para_into,[status(thm),theory(equality)],[63,50]),
    [iquote('para_into,63.1.1,50.1.1')] ).

cnf(1573,plain,
    subset(set_intersection2(dollar_c5,A),set_intersection2(dollar_c4,A)),
    inference(hyper,[status(thm)],[204,24,197]),
    [iquote('hyper,204,24,197')] ).

cnf(1574,plain,
    $false,
    inference(binary,[status(thm)],[1573,26]),
    [iquote('binary,1573.1,26.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU129+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : otter-tptp-script %s
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Jul 27 07:53:38 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 1.79/1.96  ----- Otter 3.3f, August 2004 -----
% 1.79/1.96  The process was started by sandbox on n008.cluster.edu,
% 1.79/1.96  Wed Jul 27 07:53:38 2022
% 1.79/1.96  The command was "./otter".  The process ID is 26336.
% 1.79/1.96  
% 1.79/1.96  set(prolog_style_variables).
% 1.79/1.96  set(auto).
% 1.79/1.96     dependent: set(auto1).
% 1.79/1.96     dependent: set(process_input).
% 1.79/1.96     dependent: clear(print_kept).
% 1.79/1.96     dependent: clear(print_new_demod).
% 1.79/1.96     dependent: clear(print_back_demod).
% 1.79/1.96     dependent: clear(print_back_sub).
% 1.79/1.96     dependent: set(control_memory).
% 1.79/1.96     dependent: assign(max_mem, 12000).
% 1.79/1.96     dependent: assign(pick_given_ratio, 4).
% 1.79/1.96     dependent: assign(stats_level, 1).
% 1.79/1.96     dependent: assign(max_seconds, 10800).
% 1.79/1.96  clear(print_given).
% 1.79/1.96  
% 1.79/1.96  formula_list(usable).
% 1.79/1.96  all A (A=A).
% 1.79/1.96  all A B (in(A,B)-> -in(B,A)).
% 1.79/1.96  all A B (set_union2(A,B)=set_union2(B,A)).
% 1.79/1.96  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.79/1.96  all A B (A=B<->subset(A,B)&subset(B,A)).
% 1.79/1.96  all A (A=empty_set<-> (all B (-in(B,A)))).
% 1.79/1.96  all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 1.79/1.96  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.79/1.96  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.79/1.96  all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 1.79/1.96  $T.
% 1.79/1.96  $T.
% 1.79/1.96  $T.
% 1.79/1.96  empty(empty_set).
% 1.79/1.96  all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.79/1.96  all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.79/1.96  all A B (set_union2(A,A)=A).
% 1.79/1.96  all A B (set_intersection2(A,A)=A).
% 1.79/1.96  exists A empty(A).
% 1.79/1.96  exists A (-empty(A)).
% 1.79/1.96  all A B subset(A,A).
% 1.79/1.96  all A B (disjoint(A,B)->disjoint(B,A)).
% 1.79/1.96  all A B (subset(A,B)->set_union2(A,B)=B).
% 1.79/1.96  all A B subset(set_intersection2(A,B),A).
% 1.79/1.96  all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 1.79/1.96  all A (set_union2(A,empty_set)=A).
% 1.79/1.96  all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 1.79/1.96  -(all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C)))).
% 1.79/1.96  all A (set_intersection2(A,empty_set)=empty_set).
% 1.79/1.96  all A subset(empty_set,A).
% 1.79/1.96  all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 1.79/1.96  all A (subset(A,empty_set)->A=empty_set).
% 1.79/1.96  all A B (-(-disjoint(A,B)& (all C (-in(C,set_intersection2(A,B)))))& -((exists C in(C,set_intersection2(A,B)))&disjoint(A,B))).
% 1.79/1.96  all A (empty(A)->A=empty_set).
% 1.79/1.96  all A B (-(in(A,B)&empty(B))).
% 1.79/1.96  all A B subset(A,set_union2(A,B)).
% 1.79/1.96  all A B (-(empty(A)&A!=B&empty(B))).
% 1.79/1.96  all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 1.79/1.96  end_of_list.
% 1.79/1.96  
% 1.79/1.96  -------> usable clausifies to:
% 1.79/1.96  
% 1.79/1.96  list(usable).
% 1.79/1.96  0 [] A=A.
% 1.79/1.96  0 [] -in(A,B)| -in(B,A).
% 1.79/1.96  0 [] set_union2(A,B)=set_union2(B,A).
% 1.79/1.96  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.79/1.96  0 [] A!=B|subset(A,B).
% 1.79/1.96  0 [] A!=B|subset(B,A).
% 1.79/1.96  0 [] A=B| -subset(A,B)| -subset(B,A).
% 1.79/1.96  0 [] A!=empty_set| -in(B,A).
% 1.79/1.96  0 [] A=empty_set|in($f1(A),A).
% 1.79/1.96  0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 1.79/1.96  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 1.79/1.96  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 1.79/1.96  0 [] C=set_union2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A)|in($f2(A,B,C),B).
% 1.79/1.96  0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A).
% 1.79/1.96  0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),B).
% 1.79/1.96  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.79/1.96  0 [] subset(A,B)|in($f3(A,B),A).
% 1.79/1.96  0 [] subset(A,B)| -in($f3(A,B),B).
% 1.79/1.96  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.79/1.96  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.79/1.96  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.79/1.96  0 [] C=set_intersection2(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),A).
% 1.79/1.96  0 [] C=set_intersection2(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),B).
% 1.79/1.96  0 [] C=set_intersection2(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),A)| -in($f4(A,B,C),B).
% 1.79/1.96  0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.79/1.96  0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.79/1.96  0 [] $T.
% 1.79/1.96  0 [] $T.
% 1.79/1.96  0 [] $T.
% 1.79/1.96  0 [] empty(empty_set).
% 1.79/1.96  0 [] empty(A)| -empty(set_union2(A,B)).
% 1.79/1.96  0 [] empty(A)| -empty(set_union2(B,A)).
% 1.79/1.96  0 [] set_union2(A,A)=A.
% 1.79/1.96  0 [] set_intersection2(A,A)=A.
% 1.79/1.96  0 [] empty($c1).
% 1.79/1.96  0 [] -empty($c2).
% 1.79/1.96  0 [] subset(A,A).
% 1.79/1.96  0 [] -disjoint(A,B)|disjoint(B,A).
% 1.79/1.96  0 [] -subset(A,B)|set_union2(A,B)=B.
% 1.79/1.96  0 [] subset(set_intersection2(A,B),A).
% 1.79/1.96  0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 1.79/1.96  0 [] set_union2(A,empty_set)=A.
% 1.79/1.96  0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 1.79/1.96  0 [] subset($c5,$c4).
% 1.79/1.96  0 [] -subset(set_intersection2($c5,$c3),set_intersection2($c4,$c3)).
% 1.79/1.96  0 [] set_intersection2(A,empty_set)=empty_set.
% 1.79/1.96  0 [] subset(empty_set,A).
% 1.79/1.96  0 [] disjoint(A,B)|in($f5(A,B),A).
% 1.79/1.96  0 [] disjoint(A,B)|in($f5(A,B),B).
% 1.79/1.96  0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 1.79/1.96  0 [] -subset(A,empty_set)|A=empty_set.
% 1.79/1.96  0 [] disjoint(A,B)|in($f6(A,B),set_intersection2(A,B)).
% 1.79/1.96  0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 1.79/1.96  0 [] -empty(A)|A=empty_set.
% 1.79/1.96  0 [] -in(A,B)| -empty(B).
% 1.79/1.96  0 [] subset(A,set_union2(A,B)).
% 1.79/1.96  0 [] -empty(A)|A=B| -empty(B).
% 1.79/1.96  0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 1.79/1.96  end_of_list.
% 1.79/1.96  
% 1.79/1.96  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.79/1.96  
% 1.79/1.96  This ia a non-Horn set with equality.  The strategy will be
% 1.79/1.96  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/1.96  deletion, with positive clauses in sos and nonpositive
% 1.79/1.96  clauses in usable.
% 1.79/1.96  
% 1.79/1.96     dependent: set(knuth_bendix).
% 1.79/1.96     dependent: set(anl_eq).
% 1.79/1.96     dependent: set(para_from).
% 1.79/1.96     dependent: set(para_into).
% 1.79/1.96     dependent: clear(para_from_right).
% 1.79/1.96     dependent: clear(para_into_right).
% 1.79/1.96     dependent: set(para_from_vars).
% 1.79/1.96     dependent: set(eq_units_both_ways).
% 1.79/1.96     dependent: set(dynamic_demod_all).
% 1.79/1.96     dependent: set(dynamic_demod).
% 1.79/1.96     dependent: set(order_eq).
% 1.79/1.96     dependent: set(back_demod).
% 1.79/1.96     dependent: set(lrpo).
% 1.79/1.96     dependent: set(hyper_res).
% 1.79/1.96     dependent: set(unit_deletion).
% 1.79/1.96     dependent: set(factor).
% 1.79/1.96  
% 1.79/1.96  ------------> process usable:
% 1.79/1.96  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.79/1.96  ** KEPT (pick-wt=6): 2 [] A!=B|subset(A,B).
% 1.79/1.96  ** KEPT (pick-wt=6): 3 [] A!=B|subset(B,A).
% 1.79/1.96  ** KEPT (pick-wt=9): 4 [] A=B| -subset(A,B)| -subset(B,A).
% 1.79/1.96  ** KEPT (pick-wt=6): 5 [] A!=empty_set| -in(B,A).
% 1.79/1.96  ** KEPT (pick-wt=14): 6 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 1.79/1.96  ** KEPT (pick-wt=11): 7 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 1.79/1.96  ** KEPT (pick-wt=11): 8 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 1.79/1.96  ** KEPT (pick-wt=17): 9 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),B).
% 1.79/1.96  ** KEPT (pick-wt=17): 10 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),C).
% 1.79/1.96  ** KEPT (pick-wt=9): 11 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.79/1.96  ** KEPT (pick-wt=8): 12 [] subset(A,B)| -in($f3(A,B),B).
% 1.79/1.96  ** KEPT (pick-wt=11): 13 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 1.79/1.96  ** KEPT (pick-wt=11): 14 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 1.79/1.96  ** KEPT (pick-wt=14): 15 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 1.79/1.96  ** KEPT (pick-wt=23): 16 [] A=set_intersection2(B,C)| -in($f4(B,C,A),A)| -in($f4(B,C,A),B)| -in($f4(B,C,A),C).
% 1.79/1.96  ** KEPT (pick-wt=8): 17 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.79/1.96  ** KEPT (pick-wt=8): 18 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.79/1.96  ** KEPT (pick-wt=6): 19 [] empty(A)| -empty(set_union2(A,B)).
% 1.79/1.96  ** KEPT (pick-wt=6): 20 [] empty(A)| -empty(set_union2(B,A)).
% 1.79/1.96  ** KEPT (pick-wt=2): 21 [] -empty($c2).
% 1.79/1.96  ** KEPT (pick-wt=6): 22 [] -disjoint(A,B)|disjoint(B,A).
% 1.79/1.96  ** KEPT (pick-wt=8): 23 [] -subset(A,B)|set_union2(A,B)=B.
% 1.79/1.96  ** KEPT (pick-wt=11): 24 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 1.79/1.96  ** KEPT (pick-wt=9): 25 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 1.79/1.96  ** KEPT (pick-wt=7): 26 [] -subset(set_intersection2($c5,$c3),set_intersection2($c4,$c3)).
% 1.79/1.96  ** KEPT (pick-wt=9): 27 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 1.79/1.96  ** KEPT (pick-wt=6): 28 [] -subset(A,empty_set)|A=empty_set.
% 1.79/1.96  ** KEPT (pick-wt=8): 29 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 1.79/1.96  ** KEPT (pick-wt=5): 30 [] -empty(A)|A=empty_set.
% 1.79/1.96  ** KEPT (pick-wt=5): 31 [] -in(A,B)| -empty(B).
% 1.79/1.96  ** KEPT (pick-wt=7): 32 [] -empty(A)|A=B| -empty(B).
% 1.79/1.96  ** KEPT (pick-wt=11): 33 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 1.79/1.96  
% 1.79/1.96  ------------> process sos:
% 1.79/1.96  ** KEPT (pick-wt=3): 48 [] A=A.
% 1.79/1.96  ** KEPT (pick-wt=7): 49 [] set_union2(A,B)=set_union2(B,A).
% 1.79/1.96  ** KEPT (pick-wt=7): 50 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.79/1.96  ** KEPT (pick-wt=7): 51 [] A=empty_set|in($f1(A),A).
% 1.79/1.96  ** KEPT (pick-wt=23): 52 [] A=set_union2(B,C)|in($f2(B,C,A),A)|in($f2(B,C,A),B)|in($f2(B,C,A),C).
% 1.79/1.96  ** KEPT (pick-wt=8): 53 [] subset(A,B)|in($f3(A,B),A).
% 1.79/1.96  ** KEPT (pick-wt=17): 54 [] A=set_intersection2(B,C)|in($f4(B,C,A),A)|in($f4(B,C,A),B).
% 1.79/1.96  ** KEPT (pick-wt=17): 55 [] A=set_intersection2(B,C)|in($f4(B,C,A),A)|in($f4(B,C,A),C).
% 2.00/2.17  ** KEPT (pick-wt=2): 56 [] empty(empty_set).
% 2.00/2.17  ** KEPT (pick-wt=5): 57 [] set_union2(A,A)=A.
% 2.00/2.17  ---> New Demodulator: 58 [new_demod,57] set_union2(A,A)=A.
% 2.00/2.17  ** KEPT (pick-wt=5): 59 [] set_intersection2(A,A)=A.
% 2.00/2.17  ---> New Demodulator: 60 [new_demod,59] set_intersection2(A,A)=A.
% 2.00/2.17  ** KEPT (pick-wt=2): 61 [] empty($c1).
% 2.00/2.17  ** KEPT (pick-wt=3): 62 [] subset(A,A).
% 2.00/2.17  ** KEPT (pick-wt=5): 63 [] subset(set_intersection2(A,B),A).
% 2.00/2.17  ** KEPT (pick-wt=5): 64 [] set_union2(A,empty_set)=A.
% 2.00/2.17  ---> New Demodulator: 65 [new_demod,64] set_union2(A,empty_set)=A.
% 2.00/2.17  ** KEPT (pick-wt=3): 66 [] subset($c5,$c4).
% 2.00/2.17  ** KEPT (pick-wt=5): 67 [] set_intersection2(A,empty_set)=empty_set.
% 2.00/2.17  ---> New Demodulator: 68 [new_demod,67] set_intersection2(A,empty_set)=empty_set.
% 2.00/2.17  ** KEPT (pick-wt=3): 69 [] subset(empty_set,A).
% 2.00/2.17  ** KEPT (pick-wt=8): 70 [] disjoint(A,B)|in($f5(A,B),A).
% 2.00/2.17  ** KEPT (pick-wt=8): 71 [] disjoint(A,B)|in($f5(A,B),B).
% 2.00/2.17  ** KEPT (pick-wt=10): 72 [] disjoint(A,B)|in($f6(A,B),set_intersection2(A,B)).
% 2.00/2.17  ** KEPT (pick-wt=5): 73 [] subset(A,set_union2(A,B)).
% 2.00/2.17    Following clause subsumed by 48 during input processing: 0 [copy,48,flip.1] A=A.
% 2.00/2.17  48 back subsumes 45.
% 2.00/2.17  48 back subsumes 35.
% 2.00/2.17    Following clause subsumed by 49 during input processing: 0 [copy,49,flip.1] set_union2(A,B)=set_union2(B,A).
% 2.00/2.17    Following clause subsumed by 50 during input processing: 0 [copy,50,flip.1] set_intersection2(A,B)=set_intersection2(B,A).
% 2.00/2.17  >>>> Starting back demodulation with 58.
% 2.00/2.17      >> back demodulating 46 with 58.
% 2.00/2.17      >> back demodulating 36 with 58.
% 2.00/2.17  >>>> Starting back demodulation with 60.
% 2.00/2.17      >> back demodulating 47 with 60.
% 2.00/2.17      >> back demodulating 43 with 60.
% 2.00/2.17      >> back demodulating 42 with 60.
% 2.00/2.17      >> back demodulating 39 with 60.
% 2.00/2.17  >>>> Starting back demodulation with 65.
% 2.00/2.17  >>>> Starting back demodulation with 68.
% 2.00/2.17  
% 2.00/2.17  ======= end of input processing =======
% 2.00/2.17  
% 2.00/2.17  =========== start of search ===========
% 2.00/2.17  
% 2.00/2.17  -------- PROOF -------- 
% 2.00/2.17  
% 2.00/2.17  ----> UNIT CONFLICT at   0.21 sec ----> 1574 [binary,1573.1,26.1] $F.
% 2.00/2.17  
% 2.00/2.17  Length of proof is 3.  Level of proof is 2.
% 2.00/2.17  
% 2.00/2.17  ---------------- PROOF ----------------
% 2.00/2.17  % SZS status Theorem
% 2.00/2.17  % SZS output start Refutation
% See solution above
% 2.00/2.17  ------------ end of proof -------------
% 2.00/2.17  
% 2.00/2.17  
% 2.00/2.17  Search stopped by max_proofs option.
% 2.00/2.17  
% 2.00/2.17  
% 2.00/2.17  Search stopped by max_proofs option.
% 2.00/2.17  
% 2.00/2.17  ============ end of search ============
% 2.00/2.17  
% 2.00/2.17  -------------- statistics -------------
% 2.00/2.17  clauses given                 35
% 2.00/2.17  clauses generated           3280
% 2.00/2.17  clauses kept                1555
% 2.00/2.17  clauses forward subsumed    1841
% 2.00/2.17  clauses back subsumed         19
% 2.00/2.17  Kbytes malloced             3906
% 2.00/2.17  
% 2.00/2.17  ----------- times (seconds) -----------
% 2.00/2.17  user CPU time          0.21          (0 hr, 0 min, 0 sec)
% 2.00/2.17  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.00/2.17  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.00/2.17  
% 2.00/2.17  That finishes the proof of the theorem.
% 2.00/2.17  
% 2.00/2.17  Process 26336 finished Wed Jul 27 07:53:40 2022
% 2.00/2.17  Otter interrupted
% 2.00/2.17  PROOF FOUND
%------------------------------------------------------------------------------