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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR093+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:42:54 AM UTC 2026

% Result   : ContradictoryAxioms 12.00s 3.62s
% Output   : Refutation 17.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   61 (   7 unt;   3 def)
%            Number of atoms       :  229 (  36 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  265 (  97   ~; 114   |;  43   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  159 (   0 sgn 152   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f501,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_502) ).

fof(f3484,axiom,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) )
         => ( ( s__instance(X3,X2)
              & s__instance(X4,X0)
              & s__instance(X5,X1) )
           => ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3496) ).

fof(f3520,axiom,
    ! [X0] :
      ( s__instance(X0,s__SetOrClass)
     => ( s__instance(X0,s__NullSet)
       => ~ ? [X1] : s__instance(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3533) ).

fof(f11206,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(ennf_transformation,[],[f3484]) ).

fof(f11207,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(flattening,[],[f11206]) ).

fof(f11208,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f3520]) ).

fof(f11209,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f11208]) ).

fof(f12459,definition,
    ! [X1,X2,X0] :
      ( sP10(X1,X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f12460,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP10(X1,X2,X0) ),
    inference(definition_folding,[],[f11207,f12459]) ).

fof(f12680,plain,
    ! [X1,X2,X0] :
      ( ( sP10(X1,X2,X0)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X1)
              | ~ s__instance(X4,X1)
              | ( ~ s__instance(X5,X2)
                & ~ s__instance(X5,X0) ) )
            & s__instance(X3,X2)
            & s__instance(X4,X0)
            & s__instance(X5,X1)
            & s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) ) )
      & ( ! [X3,X4,X5] :
            ( ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) )
            | ~ s__instance(X3,X2)
            | ~ s__instance(X4,X0)
            | ~ s__instance(X5,X1)
            | ~ s__instance(X2,s__SetOrClass)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass) )
        | ~ sP10(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f12459]) ).

fof(f12681,plain,
    ! [X0,X1,X2] :
      ( ( sP10(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X0)
              | ~ s__instance(X4,X0)
              | ( ~ s__instance(X5,X1)
                & ~ s__instance(X5,X2) ) )
            & s__instance(X3,X1)
            & s__instance(X4,X2)
            & s__instance(X5,X0)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass)
            & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP10(X0,X1,X2) ) ),
    inference(rectify,[],[f12680]) ).

fof(f12682,plain,
    ! [X0,X1,X2] :
      ( ( sP10(X0,X1,X2)
        | ( ( ~ s__instance(sK155(X0,X1,X2),X0)
            | ~ s__instance(sK156(X0,X1,X2),X0)
            | ( ~ s__instance(sK157(X0,X1,X2),X1)
              & ~ s__instance(sK157(X0,X1,X2),X2) ) )
          & s__instance(sK155(X0,X1,X2),X1)
          & s__instance(sK156(X0,X1,X2),X2)
          & s__instance(sK157(X0,X1,X2),X0)
          & s__instance(X1,s__SetOrClass)
          & s__instance(X0,s__SetOrClass)
          & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP10(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156,sK157]),skolemize(X3,sK155(X0,X1,X2)),skolemize(X4,sK156(X0,X1,X2)),skolemize(X5,sK157(X0,X1,X2))],[f12681]) ).

fof(f12683,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP10(X1,X2,X0) )
      & ( sP10(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f12460]) ).

fof(f14846,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f501]) ).

fof(f18071,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18072,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18073,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18074,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK157(X0,X1,X2),X0)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18075,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK156(X0,X1,X2),X2)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18076,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK155(X0,X1,X2),X1)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12682]) ).

fof(f18080,plain,
    ! [X2,X0,X1] :
      ( ~ sP10(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f12683]) ).

fof(f18116,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11209]) ).

fof(f23322,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP10(X1,X0,X2) ),
    inference(resolution,[],[f18116,f18076]) ).

fof(f23333,plain,
    ! [X2,X0,X1] :
      ( sP10(X1,X0,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23322,f18073]) ).

fof(f23336,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X2,s__NullSet)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(resolution,[],[f18075,f18116]) ).

fof(f23338,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X2,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23336,f18071]) ).

fof(f23339,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f23338,f18080]) ).

fof(f23342,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[],[f18074,f18116]) ).

fof(f23343,plain,
    ! [X2,X3,X0,X1] :
      ( sP10(s__NullSet,X0,X1)
      | s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
    inference(resolution,[],[f18074,f23339]) ).

fof(f23345,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23342,f18072]) ).

fof(f23346,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X2) = X0 ),
    inference(resolution,[],[f23345,f18080]) ).

fof(f23347,plain,
    ! [X2,X3,X0,X1] :
      ( sP10(X2,s__NullSet,X3)
      | s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
    inference(resolution,[],[f23346,f18076]) ).

fof(f23350,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
      | s__NullSet = s__UnionFn(X1,X2) ),
    inference(resolution,[],[f23343,f18080]) ).

fof(f23352,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3)
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(superposition,[],[f23350,f23350]) ).

fof(f23357,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(duplicate_literal_removal,[],[f23352]) ).

fof(f23359,definition,
    ( spl504_71
  <=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl504_71])],[avatar_definition]) ).

fof(f23360,plain,
    ( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
    | ~ spl504_71 ),
    inference(avatar_component_clause,[],[f23359]) ).

fof(f23362,definition,
    ( spl504_72
  <=> ! [X4,X0] : X0 = X4 ),
    introduced(definition,[new_symbols(definition,[spl504_72])],[avatar_definition]) ).

fof(f23363,plain,
    ( ! [X0,X4] : X0 = X4
    | ~ spl504_72 ),
    inference(avatar_component_clause,[],[f23362]) ).

fof(f23364,plain,
    ( spl504_71
    | spl504_72 ),
    inference(avatar_split_clause,[],[f23357,f23362,f23359]) ).

fof(f23372,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(resolution,[],[f23347,f18080]) ).

fof(f23373,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__UnionFn(s__NullSet,X3) = X2 )
    | ~ spl504_71 ),
    inference(forward_demodulation,[],[f23372,f23360]) ).

fof(f23374,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__NullSet = X2 )
    | ~ spl504_71 ),
    inference(forward_demodulation,[],[f23373,f23360]) ).

fof(f23376,plain,
    ( ! [X0,X1] :
        ( s__instance(s__NullSet,s__NullSet)
        | sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_71 ),
    inference(superposition,[],[f18076,f23374]) ).

fof(f23377,plain,
    ( ! [X0,X1] :
        ( sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_71 ),
    inference(forward_subsumption_resolution,[],[f23376,f23333]) ).

fof(f23378,plain,
    ( ! [X0,X1] :
        ( s__NullSet = X0
        | s__UnionFn(s__NullSet,X1) = X0 )
    | ~ spl504_71 ),
    inference(resolution,[],[f23377,f18080]) ).

fof(f23379,plain,
    ( ! [X0] :
        ( s__NullSet = X0
        | s__NullSet = X0 )
    | ~ spl504_71 ),
    inference(forward_demodulation,[],[f23378,f23360]) ).

fof(f23380,plain,
    ( ! [X0] : s__NullSet = X0
    | ~ spl504_71 ),
    inference(duplicate_literal_removal,[],[f23379]) ).

fof(f23381,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl504_71 ),
    inference(superposition,[],[f23380,f23380]) ).

fof(f23401,plain,
    ( spl504_72
    | ~ spl504_71 ),
    inference(avatar_split_clause,[],[f23381,f23359,f23362]) ).

fof(f23419,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl504_72 ),
    inference(superposition,[],[f14846,f23363]) ).

fof(f23436,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl504_72 ),
    inference(resolution,[],[f23419,f18116]) ).

fof(f23440,plain,
    ( ! [X0] : ~ s__instance(X0,s__NullSet)
    | ~ spl504_72 ),
    inference(forward_subsumption_resolution,[],[f23436,f23419]) ).

fof(f23441,plain,
    ( $false
    | ~ spl504_72 ),
    inference(forward_subsumption_resolution,[],[f23440,f23419]) ).

fof(f23442,plain,
    ~ spl504_72,
    inference(avatar_contradiction_clause,[],[f23441]) ).

cnf(s41,plain,
    ( spl504_71
    | spl504_72 ),
    inference(sat_conversion,[],[f23364]) ).

cnf(s43,plain,
    ( ~ spl504_71
    | spl504_72 ),
    inference(sat_conversion,[],[f23401]) ).

cnf(s44,plain,
    ~ spl504_72,
    inference(sat_conversion,[],[f23442]) ).

cnf(s45,plain,
    ~ spl504_71,
    inference(rat,[],[s43,s44]) ).

cnf(s47,plain,
    $false,
    inference(rat,[],[s41,s44,s45]) ).

fof(f23443,plain,
    $false,
    inference(avatar_sat_refutation,[],[s47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR093+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  % Computer : n019.cluster.edu
% 0.10/0.23  % Model    : x86_64 x86_64
% 0.10/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23  % Memory   : 8046.5625MB
% 0.10/0.23  % OS       : Linux 6.8.0-71-generic
% 0.10/0.23  % CPULimit : 300
% 0.10/0.23  % WCLimit  : 300
% 0.10/0.23  % DateTime : Mon Sep 28 22:43:03 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29  Running first-order theorem proving
% 0.24/0.29  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.00/3.61  % (356595)Detected formulas, will run a generic FOF schedule.
% 12.00/3.61  % (356602)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=405405414:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 12.00/3.61  % (356606)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1111035589:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 12.00/3.61  % (356606)Instruction limit reached! 
% 12.00/3.61  % (356606)------------------------------
% 12.00/3.61  % (356606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.61  % (356606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.61  % (356606)CaDiCaL version: 2.1.3
% 12.00/3.61  % (356606)Termination reason: Instruction limit
% 12.00/3.61  % (356606)Termination phase: Saturation
% 12.00/3.61  % (356606)Time elapsed: 0.071 s
% 12.00/3.61  % (356606)Peak memory usage: 94 MB
% 12.00/3.61  % (356606)Instructions burned: 119 (million)
% 12.00/3.61  % (356604)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3701562130:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 12.00/3.62  % (356603)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=896880966:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 12.00/3.62  % (356608)dis-21_1_sil=8000:lcm=predicate:random_seed=3140380287:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 12.00/3.62  % (356607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=730817153:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 12.00/3.62  % (356605)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=190534997:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 12.00/3.62  % (356605)Refutation not found, incomplete strategy
% 12.00/3.62  % (356605)------------------------------
% 12.00/3.62  % (356605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356605)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356605)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356605)Time elapsed: 0.035 s
% 12.00/3.62  % (356605)Peak memory usage: 95 MB
% 12.00/3.62  % (356605)Instructions burned: 38 (million)
% 12.00/3.62  % (356608)Instruction limit reached! 
% 12.00/3.62  % (356608)------------------------------
% 12.00/3.62  % (356608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356608)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356608)Termination reason: Instruction limit
% 12.00/3.62  % (356608)Termination phase: Property scanning
% 12.00/3.62  % (356608)Time elapsed: 0.109 s
% 12.00/3.62  % (356608)Peak memory usage: 94 MB
% 12.00/3.62  % (356608)Instructions burned: 130 (million)
% 12.00/3.62  % (356607)Instruction limit reached! 
% 12.00/3.62  % (356607)------------------------------
% 12.00/3.62  % (356607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356607)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356607)Termination reason: Instruction limit
% 12.00/3.62  % (356607)Termination phase: Preprocessing 3
% 12.00/3.62  % (356607)Time elapsed: 0.128 s
% 12.00/3.62  % (356607)Peak memory usage: 94 MB
% 12.00/3.62  % (356607)Instructions burned: 140 (million)
% 12.00/3.62  % (356611)lrs+10_1_sil=8000:sp=occurrence:random_seed=3615718205:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 12.00/3.62  % (356617)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1655631384:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 12.00/3.62  % (356617)Refutation not found, incomplete strategy
% 12.00/3.62  % (356617)------------------------------
% 12.00/3.62  % (356617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356617)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356617)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356617)Time elapsed: 0.056 s
% 12.00/3.62  % (356617)Peak memory usage: 95 MB
% 12.00/3.62  % (356617)Instructions burned: 82 (million)
% 12.00/3.62  % (356618)lrs+1011_1_sil=32000:sp=occurrence:random_seed=217369991:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 12.00/3.62  % (356605)------------------------------
% 12.00/3.62  % (356605)------------------------------
% 12.00/3.62  % (356618)Refutation not found, incomplete strategy
% 12.00/3.62  % (356618)------------------------------
% 12.00/3.62  % (356618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356618)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356618)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356618)Time elapsed: 0.032 s
% 12.00/3.62  % (356618)Peak memory usage: 95 MB
% 12.00/3.62  % (356618)Instructions burned: 35 (million)
% 12.00/3.62  % (356611)Instruction limit reached! 
% 12.00/3.62  % (356611)------------------------------
% 12.00/3.62  % (356611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356611)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356611)Termination reason: Instruction limit
% 12.00/3.62  % (356611)Termination phase: Saturation
% 12.00/3.62  % (356611)Time elapsed: 0.258 s
% 12.00/3.62  % (356611)Peak memory usage: 97 MB
% 12.00/3.62  % (356611)Instructions burned: 285 (million)
% 12.00/3.62  % (356622)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2093497973:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 12.00/3.62  % (356617)------------------------------
% 12.00/3.62  % (356617)------------------------------
% 12.00/3.62  % (356623)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=118876315:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 12.00/3.62  % (356623)Refutation not found, incomplete strategy
% 12.00/3.62  % (356623)------------------------------
% 12.00/3.62  % (356623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356623)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356623)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356623)Time elapsed: 0.050 s
% 12.00/3.62  % (356623)Peak memory usage: 95 MB
% 12.00/3.62  % (356623)Instructions burned: 55 (million)
% 12.00/3.62  % (356618)------------------------------
% 12.00/3.62  % (356618)------------------------------
% 12.00/3.62  % (356622)Instruction limit reached! 
% 12.00/3.62  % (356622)------------------------------
% 12.00/3.62  % (356622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356622)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356622)Termination reason: Instruction limit
% 12.00/3.62  % (356622)Termination phase: Saturation
% 12.00/3.62  % (356622)Time elapsed: 0.226 s
% 12.00/3.62  % (356622)Peak memory usage: 99 MB
% 12.00/3.62  % (356622)Instructions burned: 248 (million)
% 12.00/3.62  % (356625)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1885695732:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 12.00/3.62  % (356627)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3790404162:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 12.00/3.62  % (356604)Refutation not found, incomplete strategy
% 12.00/3.62  % (356604)------------------------------
% 12.00/3.62  % (356604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356604)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356604)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356604)Time elapsed: 1.188 s
% 12.00/3.62  % (356604)Peak memory usage: 148 MB
% 12.00/3.62  % (356604)Instructions burned: 1123 (million)
% 12.00/3.62  % (356623)------------------------------
% 12.00/3.62  % (356623)------------------------------
% 12.00/3.62  % (356628)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=315847270:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 12.00/3.62  % (356627)Instruction limit reached! 
% 12.00/3.62  % (356627)------------------------------
% 12.00/3.62  % (356627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356627)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356627)Termination reason: Instruction limit
% 12.00/3.62  % (356627)Termination phase: Saturation
% 12.00/3.62  % (356627)Time elapsed: 0.111 s
% 12.00/3.62  % (356627)Peak memory usage: 96 MB
% 12.00/3.62  % (356627)Instructions burned: 114 (million)
% 12.00/3.62  % (356628)Instruction limit reached! 
% 12.00/3.62  % (356628)------------------------------
% 12.00/3.62  % (356628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356628)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356628)Termination reason: Instruction limit
% 12.00/3.62  % (356628)Termination phase: Property scanning
% 12.00/3.62  % (356628)Time elapsed: 0.128 s
% 12.00/3.62  % (356628)Peak memory usage: 97 MB
% 12.00/3.62  % (356628)Instructions burned: 127 (million)
% 12.00/3.62  % (356631)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1116003617:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 12.00/3.62  % (356633)lrs+10_1_sil=8000:sp=occurrence:random_seed=2780561654:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 12.00/3.62  % (356604)------------------------------
% 12.00/3.62  % (356604)------------------------------
% 12.00/3.62  % (356634)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1610677180:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 12.00/3.62  % (356631)Instruction limit reached! 
% 12.00/3.62  % (356631)------------------------------
% 12.00/3.62  % (356631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356631)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356631)Termination reason: Instruction limit
% 12.00/3.62  % (356631)Termination phase: SInE selection
% 12.00/3.62  % (356631)Time elapsed: 0.098 s
% 12.00/3.62  % (356631)Peak memory usage: 91 MB
% 12.00/3.62  % (356631)Instructions burned: 114 (million)
% 12.00/3.62  % (356634)Refutation not found, incomplete strategy
% 12.00/3.62  % (356634)------------------------------
% 12.00/3.62  % (356634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356634)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356634)Termination reason: Refutation not found, incomplete strategy
% 12.00/3.62  % (356634)Time elapsed: 0.053 s
% 12.00/3.62  % (356634)Peak memory usage: 95 MB
% 12.00/3.62  % (356634)Instructions burned: 55 (million)
% 12.00/3.62  % (356637)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1984801906:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 12.00/3.62  % (356602)First to succeed.
% 12.00/3.62  % (356602)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-356595"
% 12.00/3.62  % (356639)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3276541893:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 12.00/3.62  % (356639)Instruction limit reached! 
% 12.00/3.62  % (356639)------------------------------
% 12.00/3.62  % (356639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/3.62  % (356639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/3.62  % (356639)CaDiCaL version: 2.1.3
% 12.00/3.62  % (356639)Termination reason: Instruction limit
% 12.00/3.62  % (356639)Termination phase: Saturation
% 12.00/3.62  % (356639)Time elapsed: 0.115 s
% 12.00/3.62  % (356639)Peak memory usage: 96 MB
% 12.00/3.62  % (356639)Instructions burned: 134 (million)
% 12.00/3.62  % (356634)------------------------------
% 12.00/3.62  % (356634)------------------------------
% 12.00/3.62  % (356602)Refutation found. Thanks to Tanya!
% 12.00/3.62  % SZS status ContradictoryAxioms for theBenchmark
% 12.00/3.62  % SZS output start Proof for theBenchmark
% See solution above
% 17.89/3.88  % (356602)------------------------------
% 17.89/3.88  % (356602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.88  % (356602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.88  % (356602)CaDiCaL version: 2.1.3
% 17.89/3.88  % (356602)Termination reason: Refutation
% 17.89/3.88  % (356602)Time elapsed: 1.939 s
% 17.89/3.88  % (356602)Peak memory usage: 219 MB
% 17.89/3.88  % (356602)Instructions burned: 3778 (million)
% 17.89/3.88  % (356602)------------------------------
% 17.89/3.88  % (356602)------------------------------
% 17.89/3.88  % (356595)Success in time 2.691 s
% 17.89/3.88  % Vampire exiting
%------------------------------------------------------------------------------