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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET854-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:42:09 PM UTC 2026

% Result   : Unsatisfiable 13.54s 3.01s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   47 (  17 unt;   0 def)
%            Number of atoms       :  142 (  13 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  173 (  78   ~;  95   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   84 (  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f224,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_Union(X3,X2),X2)
      | ~ c_in(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).

fof(f378,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2)
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f379,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f380,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f381,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2))
      | X0 = X1 ),
    inference(reorient_equations,[],[f381]) ).

fof(f1434,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f1435,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).

fof(f1436,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).

fof(f1437,axiom,
    ! [X2,X3,X0,X1] :
      ( c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2) != X0
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).

fof(f1438,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X2),X0,tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
      | c_lessequals(X3,X0,tc_set(tc_set(X2)))
      | c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).

fof(f1439,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))
      | c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
      | c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).

fof(f1440,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))
      | c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
      | c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).

fof(f1443,negated_conjecture,
    c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1444,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1445,negated_conjecture,
    c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1446,negated_conjecture,
    v_x != c_Union(v_Y,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1447,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1448,negated_conjecture,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
      | X0 = X1
      | ~ c_lessequals(X0,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1450,plain,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f382,f1446,f1445]) ).

fof(f1460,plain,
    ! [X0,X1] :
      ( c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) = X0
      | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
      | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
      | ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X1,X0,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1448,f1438]) ).

fof(f1463,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
      | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
      | ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X1,X0,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[],[f1460,f1437]) ).

fof(f1465,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
      | ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X1,X0,tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[],[f1463,f1436]) ).

fof(f1466,plain,
    ! [X0,X1] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
      | ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X1,X0,tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[],[f1465,f1435]) ).

fof(f1481,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(X2))
      | ~ c_in(X0,X1,tc_set(X2)) ),
    inference(resolution,[],[f378,f1434]) ).

fof(f1482,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
      | c_in(X0,X2,tc_set(t_a))
      | ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X2,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f378,f1466]) ).

fof(f1483,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_in(X0,X2,tc_set(t_a))
      | X1 = X2
      | ~ c_lessequals(X1,X2,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
      | ~ c_in(X2,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f378,f1448]) ).

fof(f1485,plain,
    ! [X0] :
      ( c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f378,f1443]) ).

fof(f1487,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_in(X0,X2,tc_set(t_a))
      | ~ c_in(X0,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
      | c_lessequals(X2,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[],[f1482,f1485]) ).

fof(f1488,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Zorn_Osucc(v_S,X1,t_a),tc_set(t_a))
      | c_in(X0,v_x,tc_set(t_a))
      | c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1487,f1444]) ).

fof(f1502,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f380,f1447]) ).

fof(f1509,plain,
    ! [X0] :
      ( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
      | ~ c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),X0,tc_set(t_a)) ),
    inference(resolution,[],[f1502,f224]) ).

fof(f1523,plain,
    c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f379,f1447]) ).

fof(f1559,plain,
    ! [X0,X1] :
      ( c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
      | c_in(X0,v_x,tc_set(t_a))
      | ~ c_in(X0,X1,tc_set(t_a))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1481,f1488]) ).

fof(f1573,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a))
      | v_x = X1
      | ~ c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
      | c_in(X0,X1,tc_set(t_a))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1483,f1444]) ).

fof(f1579,plain,
    ~ c_lessequals(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f1440,f1447,f1450]) ).

fof(f1580,plain,
    c_in(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f1439,f1447,f1450]) ).

fof(f1598,plain,
    c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(t_a)),c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f379,f1579]) ).

fof(f1599,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),v_x,tc_set(t_a)),v_x,tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f380,f1579]) ).

fof(f1696,plain,
    ! [X0] :
      ( v_x = X0
      | ~ c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
      | c_in(c_Main_OsubsetI__1(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),X0,tc_set(t_a))
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1573,f1523]) ).

fof(f1702,plain,
    ! [X0] :
      ( ~ c_lessequals(v_x,X0,tc_set(tc_set(t_a)))
      | v_x = X0
      | ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
    inference(forward_subsumption_resolution,[],[f1696,f1509]) ).

fof(f1710,plain,
    ! [X0,X1] :
      ( c_in(X0,v_x,tc_set(t_a))
      | ~ c_in(X0,X1,tc_set(t_a))
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
      | v_x = X1
      | ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1559,f1702]) ).

fof(f1717,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
      | ~ c_in(X0,X1,tc_set(t_a))
      | c_in(X0,v_x,tc_set(t_a))
      | v_x = X1 ),
    inference(duplicate_literal_removal,[],[f1710]) ).

fof(f1719,plain,
    v_x = c_Zorn_OUnion__lemma0__1(v_x,c_Zorn_Osucc(v_S,v_x,t_a),v_Y,tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f1717,f1599,f1598,f1580]) ).

fof(f1732,plain,
    c_in(c_Main_OsubsetI__1(v_x,v_x,tc_set(t_a)),v_x,tc_set(t_a)),
    inference(backward_demodulation,[],[f1598,f1719]) ).

fof(f1733,plain,
    ~ c_in(c_Main_OsubsetI__1(v_x,v_x,tc_set(t_a)),v_x,tc_set(t_a)),
    inference(backward_demodulation,[],[f1599,f1719]) ).

fof(f1743,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1732,f1733]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET854-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n015.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 03:04:16 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.53/2.25  % (2220925)Input is clausal, will run a generic CNF schedule.
% 9.53/2.25  % (2220936)dis-21_1_sil=8000:lcm=predicate:random_seed=1528937582:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.53/2.25  % (2220932)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2381040001:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.53/2.25  % (2220934)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2794368093:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.53/2.25  % (2220933)lrs+10_1_sil=8000:sp=occurrence:random_seed=209581772:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.53/2.25  % (2220930)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1672762646:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.53/2.25  % (2220935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4014774984:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.53/2.25  % (2220931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2065237056:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.53/2.25  % (2220936)Instruction limit reached! 
% 9.53/2.25  % (2220936)------------------------------
% 9.53/2.25  % (2220936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.25  % (2220936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.25  % (2220936)CaDiCaL version: 2.1.3
% 9.53/2.25  % (2220936)Termination reason: Instruction limit
% 9.53/2.25  % (2220936)Termination phase: Saturation
% 9.53/2.25  % (2220936)Time elapsed: 0.040 s
% 9.53/2.25  % (2220936)Peak memory usage: 90 MB
% 9.53/2.25  % (2220936)Instructions burned: 120 (million)
% 9.53/2.25  % (2220933)Instruction limit reached! 
% 9.53/2.25  % (2220933)------------------------------
% 9.53/2.25  % (2220933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.25  % (2220933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.25  % (2220933)CaDiCaL version: 2.1.3
% 9.53/2.25  % (2220933)Termination reason: Instruction limit
% 9.53/2.25  % (2220933)Termination phase: Saturation
% 9.53/2.25  % (2220933)Time elapsed: 0.069 s
% 9.53/2.25  % (2220933)Peak memory usage: 89 MB
% 9.53/2.25  % (2220933)Instructions burned: 108 (million)
% 9.53/2.25  % (2220934)Instruction limit reached! 
% 9.53/2.25  % (2220934)------------------------------
% 9.53/2.25  % (2220934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.25  % (2220934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.25  % (2220934)CaDiCaL version: 2.1.3
% 9.53/2.25  % (2220934)Termination reason: Instruction limit
% 9.53/2.25  % (2220934)Termination phase: Saturation
% 9.53/2.25  % (2220934)Time elapsed: 0.074 s
% 9.53/2.25  % (2220934)Peak memory usage: 89 MB
% 9.53/2.25  % (2220934)Instructions burned: 115 (million)
% 9.53/2.25  % (2220944)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4197576978:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.53/2.25  % (2220935)Instruction limit reached! 
% 9.53/2.25  % (2220935)------------------------------
% 9.53/2.25  % (2220935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.25  % (2220935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.25  % (2220935)CaDiCaL version: 2.1.3
% 9.53/2.25  % (2220935)Termination reason: Instruction limit
% 9.53/2.25  % (2220935)Termination phase: Saturation
% 9.53/2.25  % (2220935)Time elapsed: 0.125 s
% 9.53/2.25  % (2220935)Peak memory usage: 90 MB
% 9.53/2.25  % (2220935)Instructions burned: 181 (million)
% 9.53/2.25  % (2220944)Instruction limit reached! 
% 9.53/2.25  % (2220944)------------------------------
% 9.53/2.25  % (2220944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.25  % (2220944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.25  % (2220944)CaDiCaL version: 2.1.3
% 9.53/2.25  % (2220944)Termination reason: Instruction limit
% 9.53/2.25  % (2220944)Termination phase: Saturation
% 9.53/2.25  % (2220944)Time elapsed: 0.047 s
% 9.53/2.25  % (2220944)Peak memory usage: 89 MB
% 9.53/2.25  % (2220944)Instructions burned: 145 (million)
% 9.53/2.25  % (2220946)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3547934577:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.54/3.01  % (2220945)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3960691642:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 13.54/3.01  % (2220948)lrs+10_64_to=lpo:sil=8000:random_seed=1632752497:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 13.54/3.01  % (2220949)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=908647186:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.54/3.01  % (2220949)Instruction limit reached! 
% 13.54/3.01  % (2220949)------------------------------
% 13.54/3.01  % (2220949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220949)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220949)Termination reason: Instruction limit
% 13.54/3.01  % (2220949)Termination phase: Saturation
% 13.54/3.01  % (2220949)Time elapsed: 0.055 s
% 13.54/3.01  % (2220949)Peak memory usage: 90 MB
% 13.54/3.01  % (2220949)Instructions burned: 197 (million)
% 13.54/3.01  % (2220945)Instruction limit reached! 
% 13.54/3.01  % (2220945)------------------------------
% 13.54/3.01  % (2220945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220945)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220945)Termination reason: Instruction limit
% 13.54/3.01  % (2220945)Termination phase: Saturation
% 13.54/3.01  % (2220945)Time elapsed: 0.101 s
% 13.54/3.01  % (2220945)Peak memory usage: 89 MB
% 13.54/3.01  % (2220945)Instructions burned: 190 (million)
% 13.54/3.01  % (2220948)Instruction limit reached! 
% 13.54/3.01  % (2220948)------------------------------
% 13.54/3.01  % (2220948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220948)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220948)Termination reason: Instruction limit
% 13.54/3.01  % (2220948)Termination phase: Saturation
% 13.54/3.01  % (2220948)Time elapsed: 0.078 s
% 13.54/3.01  % (2220948)Peak memory usage: 90 MB
% 13.54/3.01  % (2220948)Instructions burned: 128 (million)
% 13.54/3.01  % (2220946)Instruction limit reached! 
% 13.54/3.01  % (2220946)------------------------------
% 13.54/3.01  % (2220946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220946)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220946)Termination reason: Instruction limit
% 13.54/3.01  % (2220946)Termination phase: Saturation
% 13.54/3.01  % (2220946)Time elapsed: 0.126 s
% 13.54/3.01  % (2220946)Peak memory usage: 90 MB
% 13.54/3.01  % (2220946)Instructions burned: 220 (million)
% 13.54/3.01  % (2220954)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2525088245:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 13.54/3.01  % (2220955)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=866761196:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 13.54/3.01  % (2220956)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2546464669:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.54/3.01  % (2220954)Instruction limit reached! 
% 13.54/3.01  % (2220954)------------------------------
% 13.54/3.01  % (2220954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220954)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220954)Termination reason: Instruction limit
% 13.54/3.01  % (2220954)Termination phase: Saturation
% 13.54/3.01  % (2220954)Time elapsed: 0.051 s
% 13.54/3.01  % (2220954)Peak memory usage: 91 MB
% 13.54/3.01  % (2220954)Instructions burned: 157 (million)
% 13.54/3.01  % (2220957)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3199186635:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 13.54/3.01  % (2220956)Instruction limit reached! 
% 13.54/3.01  % (2220956)------------------------------
% 13.54/3.01  % (2220956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220956)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220956)Termination reason: Instruction limit
% 13.54/3.01  % (2220956)Termination phase: Saturation
% 13.54/3.01  % (2220956)Time elapsed: 0.058 s
% 13.54/3.01  % (2220956)Peak memory usage: 89 MB
% 13.54/3.01  % (2220956)Instructions burned: 106 (million)
% 13.54/3.01  % (2220957)Instruction limit reached! 
% 13.54/3.01  % (2220957)------------------------------
% 13.54/3.01  % (2220957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220957)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220957)Termination reason: Instruction limit
% 13.54/3.01  % (2220957)Termination phase: Saturation
% 13.54/3.01  % (2220957)Time elapsed: 0.070 s
% 13.54/3.01  % (2220957)Peak memory usage: 89 MB
% 13.54/3.01  % (2220957)Instructions burned: 107 (million)
% 13.54/3.01  % (2220961)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1872835464:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 13.54/3.01  % (2220961)Instruction limit reached! 
% 13.54/3.01  % (2220961)------------------------------
% 13.54/3.01  % (2220961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220961)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220961)Termination reason: Instruction limit
% 13.54/3.01  % (2220961)Termination phase: Saturation
% 13.54/3.01  % (2220961)Time elapsed: 0.072 s
% 13.54/3.01  % (2220961)Peak memory usage: 89 MB
% 13.54/3.01  % (2220961)Instructions burned: 245 (million)
% 13.54/3.01  % (2220963)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=77320066:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 13.54/3.01  % (2220964)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3526825703:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 13.54/3.01  % (2220966)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4247721663:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 13.54/3.01  % (2220964)Instruction limit reached! 
% 13.54/3.01  % (2220964)------------------------------
% 13.54/3.01  % (2220964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220964)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220964)Termination reason: Instruction limit
% 13.54/3.01  % (2220964)Termination phase: Saturation
% 13.54/3.01  % (2220964)Time elapsed: 0.091 s
% 13.54/3.01  % (2220964)Peak memory usage: 90 MB
% 13.54/3.01  % (2220964)Instructions burned: 134 (million)
% 13.54/3.01  % (2220966)Instruction limit reached! 
% 13.54/3.01  % (2220966)------------------------------
% 13.54/3.01  % (2220966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220966)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220966)Termination reason: Instruction limit
% 13.54/3.01  % (2220966)Termination phase: Saturation
% 13.54/3.01  % (2220966)Time elapsed: 0.148 s
% 13.54/3.01  % (2220966)Peak memory usage: 97 MB
% 13.54/3.01  % (2220966)Instructions burned: 499 (million)
% 13.54/3.01  % (2220970)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3661062458:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 13.54/3.01  % (2220971)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3891653465:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 13.54/3.01  % (2220970)Instruction limit reached! 
% 13.54/3.01  % (2220970)------------------------------
% 13.54/3.01  % (2220970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220970)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220970)Termination reason: Instruction limit
% 13.54/3.01  % (2220970)Termination phase: Saturation
% 13.54/3.01  % (2220970)Time elapsed: 0.129 s
% 13.54/3.01  % (2220970)Peak memory usage: 91 MB
% 13.54/3.01  % (2220970)Instructions burned: 191 (million)
% 13.54/3.01  % (2220971)Instruction limit reached! 
% 13.54/3.01  % (2220971)------------------------------
% 13.54/3.01  % (2220971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220971)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220971)Termination reason: Instruction limit
% 13.54/3.01  % (2220971)Termination phase: Saturation
% 13.54/3.01  % (2220971)Time elapsed: 0.081 s
% 13.54/3.01  % (2220971)Peak memory usage: 92 MB
% 13.54/3.01  % (2220971)Instructions burned: 264 (million)
% 13.54/3.01  % (2220974)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=93406341:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 13.54/3.01  % (2220975)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2057197985:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 13.54/3.01  % (2220974)Instruction limit reached! 
% 13.54/3.01  % (2220974)------------------------------
% 13.54/3.01  % (2220974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220974)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220974)Termination reason: Instruction limit
% 13.54/3.01  % (2220974)Termination phase: Saturation
% 13.54/3.01  % (2220974)Time elapsed: 0.096 s
% 13.54/3.01  % (2220974)Peak memory usage: 90 MB
% 13.54/3.01  % (2220974)Instructions burned: 156 (million)
% 13.54/3.01  % (2220979)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=632820815:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 13.54/3.01  % (2220975)First to succeed.
% 13.54/3.01  % (2220975)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2220925"
% 13.54/3.01  % (2220979)Instruction limit reached! 
% 13.54/3.01  % (2220979)------------------------------
% 13.54/3.01  % (2220979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/3.01  % (2220979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/3.01  % (2220979)CaDiCaL version: 2.1.3
% 13.54/3.01  % (2220979)Termination reason: Instruction limit
% 13.54/3.01  % (2220979)Termination phase: Saturation
% 13.54/3.01  % (2220979)Time elapsed: 0.297 s
% 13.54/3.01  % (2220979)Peak memory usage: 90 MB
% 13.54/3.01  % (2220979)Instructions burned: 537 (million)
% 13.54/3.01  % (2220975)Refutation found. Thanks to Tanya!
% 13.54/3.01  % SZS status Unsatisfiable for theBenchmark
% 13.54/3.01  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.20  % (2220975)------------------------------
% 0.17/3.20  % (2220975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.20  % (2220975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.20  % (2220975)CaDiCaL version: 2.1.3
% 0.17/3.20  % (2220975)Termination reason: Refutation
% 0.17/3.20  % (2220975)Time elapsed: 0.467 s
% 0.17/3.20  % (2220975)Peak memory usage: 140 MB
% 0.17/3.20  % (2220975)Instructions burned: 1294 (million)
% 0.17/3.20  % (2220975)------------------------------
% 0.17/3.20  % (2220975)------------------------------
% 0.17/3.20  % (2220925)Success in time 2.143 s
% 0.17/3.20  % Vampire exiting
%------------------------------------------------------------------------------