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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU008+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 : n008.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 12:47:03 PM UTC 2026

% Result   : Theorem 2.74s 1.25s
% Output   : Refutation 3.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   63 (  15 unt;   3 def)
%            Number of atoms       :  259 (  59 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  331 ( 135   ~; 129   |;  51   &)
%                                         (   7 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   89 (   0 sgn  77   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f15,axiom,
    ! [X0] :
      ( relation(identity_relation(X0))
      & function(identity_relation(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( X1 = identity_relation(X0)
      <=> ( relation_dom(X1) = X0
          & ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).

fof(f35,conjecture,
    ! [X0,X1,X2] :
      ( ( relation(X2)
        & function(X2) )
     => ( in(X1,set_intersection2(relation_dom(X2),X0))
       => apply(X2,X1) = apply(relation_composition(identity_relation(X0),X2),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_funct_1) ).

fof(f36,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( relation(X2)
          & function(X2) )
       => ( in(X1,set_intersection2(relation_dom(X2),X0))
         => apply(X2,X1) = apply(relation_composition(identity_relation(X0),X2),X1) ) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f44,plain,
    ? [X0,X1,X2] :
      ( apply(X2,X1) != apply(relation_composition(identity_relation(X0),X2),X1)
      & in(X1,set_intersection2(relation_dom(X2),X0))
      & relation(X2)
      & function(X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( apply(X2,X1) != apply(relation_composition(identity_relation(X0),X2),X1)
      & in(X1,set_intersection2(relation_dom(X2),X0))
      & relation(X2)
      & function(X2) ),
    inference(flattening,[],[f44]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( X1 = identity_relation(X0)
      <=> ( relation_dom(X1) = X0
          & ! [X2] :
              ( apply(X1,X2) = X2
              | ~ in(X2,X0) ) ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( X1 = identity_relation(X0)
      <=> ( relation_dom(X1) = X0
          & ! [X2] :
              ( apply(X1,X2) = X2
              | ~ in(X2,X0) ) ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f66]) ).

fof(f68,plain,
    ( apply(sK2,sK1) != apply(relation_composition(identity_relation(sK0),sK2),sK1)
    & in(sK1,set_intersection2(relation_dom(sK2),sK0))
    & relation(sK2)
    & function(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f45]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f69]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f70]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ( ( ~ in(sK3(X0,X1,X2),X0)
            | ~ in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( ( in(sK3(X0,X1,X2),X0)
              & in(sK3(X0,X1,X2),X1) )
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f71]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( ( X1 = identity_relation(X0)
          | relation_dom(X1) != X0
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) ) )
        & ( ( relation_dom(X1) = X0
            & ! [X2] :
                ( apply(X1,X2) = X2
                | ~ in(X2,X0) ) )
          | identity_relation(X0) != X1 ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( ( X1 = identity_relation(X0)
          | relation_dom(X1) != X0
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) ) )
        & ( ( relation_dom(X1) = X0
            & ! [X2] :
                ( apply(X1,X2) = X2
                | ~ in(X2,X0) ) )
          | identity_relation(X0) != X1 ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( ( X1 = identity_relation(X0)
          | relation_dom(X1) != X0
          | ? [X2] :
              ( apply(X1,X2) != X2
              & in(X2,X0) ) )
        & ( ( relation_dom(X1) = X0
            & ! [X3] :
                ( apply(X1,X3) = X3
                | ~ in(X3,X0) ) )
          | identity_relation(X0) != X1 ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(rectify,[],[f77]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ( ( X1 = identity_relation(X0)
          | relation_dom(X1) != X0
          | ( sK7(X0,X1) != apply(X1,sK7(X0,X1))
            & in(sK7(X0,X1),X0) ) )
        & ( ( relation_dom(X1) = X0
            & ! [X3] :
                ( apply(X1,X3) = X3
                | ~ in(X3,X0) ) )
          | identity_relation(X0) != X1 ) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f78]) ).

fof(f80,plain,
    function(sK2),
    inference(cnf_transformation,[],[f68]) ).

fof(f81,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f68]) ).

fof(f82,plain,
    in(sK1,set_intersection2(relation_dom(sK2),sK0)),
    inference(cnf_transformation,[],[f68]) ).

fof(f83,plain,
    apply(sK2,sK1) != apply(relation_composition(identity_relation(sK0),sK2),sK1),
    inference(cnf_transformation,[],[f68]) ).

fof(f87,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f103,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f104,plain,
    ! [X0] : relation(identity_relation(X0)),
    inference(cnf_transformation,[],[f15]) ).

fof(f117,plain,
    ! [X3,X0,X1] :
      ( apply(X1,X3) = X3
      | ~ in(X3,X0)
      | identity_relation(X0) != X1
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( relation_dom(X1) = X0
      | identity_relation(X0) != X1
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f122,definition,
    ~ sP8(apply(sK2,sK1)),
    introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).

fof(f123,plain,
    sP8(apply(relation_composition(identity_relation(sK0),sK2),sK1)),
    inference(inequality_splitting,[],[f83,f122]) ).

fof(f126,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f87]) ).

fof(f129,plain,
    ! [X0] :
      ( relation_dom(identity_relation(X0)) = X0
      | ~ relation(identity_relation(X0))
      | ~ function(identity_relation(X0)) ),
    inference(equality_resolution,[],[f118]) ).

fof(f130,plain,
    ! [X3,X0] :
      ( apply(identity_relation(X0),X3) = X3
      | ~ in(X3,X0)
      | ~ relation(identity_relation(X0))
      | ~ function(identity_relation(X0)) ),
    inference(equality_resolution,[],[f117]) ).

fof(f131,plain,
    in(sK1,sK0),
    inference(resolution,[],[f82,f126]) ).

fof(f137,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ in(sK1,relation_dom(identity_relation(sK0)))
    | ~ relation(sK2)
    | ~ function(sK2)
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0)) ),
    inference(superposition,[],[f123,f121]) ).

fof(f138,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ in(sK1,relation_dom(identity_relation(sK0)))
    | ~ function(sK2)
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0)) ),
    inference(forward_subsumption_resolution,[],[f137,f81]) ).

fof(f139,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ in(sK1,relation_dom(identity_relation(sK0)))
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0)) ),
    inference(forward_subsumption_resolution,[],[f138,f80]) ).

fof(f140,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ in(sK1,relation_dom(identity_relation(sK0)))
    | ~ function(identity_relation(sK0)) ),
    inference(forward_subsumption_resolution,[],[f139,f104]) ).

fof(f141,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ in(sK1,relation_dom(identity_relation(sK0))) ),
    inference(forward_subsumption_resolution,[],[f140,f103]) ).

fof(f143,definition,
    ( spl9_1
  <=> in(sK1,relation_dom(identity_relation(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f145,plain,
    ( ~ in(sK1,relation_dom(identity_relation(sK0)))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f147,definition,
    ( spl9_2
  <=> sP8(apply(sK2,apply(identity_relation(sK0),sK1))) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f149,plain,
    ( sP8(apply(sK2,apply(identity_relation(sK0),sK1)))
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f150,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f141,f147,f143]) ).

fof(f154,plain,
    ( ~ in(sK1,sK0)
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0))
    | spl9_1 ),
    inference(superposition,[],[f145,f129]) ).

fof(f155,plain,
    ( ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0))
    | spl9_1 ),
    inference(forward_subsumption_resolution,[],[f154,f131]) ).

fof(f156,plain,
    ( ~ function(identity_relation(sK0))
    | spl9_1 ),
    inference(forward_subsumption_resolution,[],[f155,f104]) ).

fof(f157,plain,
    ( $false
    | spl9_1 ),
    inference(forward_subsumption_resolution,[],[f156,f103]) ).

fof(f158,plain,
    spl9_1,
    inference(avatar_contradiction_clause,[],[f157]) ).

fof(f164,plain,
    ( sP8(apply(sK2,sK1))
    | ~ in(sK1,sK0)
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0))
    | ~ spl9_2 ),
    inference(superposition,[],[f149,f130]) ).

fof(f165,plain,
    ( ~ in(sK1,sK0)
    | ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0))
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f164,f122]) ).

fof(f166,plain,
    ( ~ relation(identity_relation(sK0))
    | ~ function(identity_relation(sK0))
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f165,f131]) ).

fof(f167,plain,
    ( ~ function(identity_relation(sK0))
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f166,f104]) ).

fof(f168,plain,
    ( $false
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f167,f103]) ).

fof(f169,plain,
    ~ spl9_2,
    inference(avatar_contradiction_clause,[],[f168]) ).

cnf(s1,plain,
    ( ~ spl9_1
    | spl9_2 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s2,plain,
    spl9_1,
    inference(sat_conversion,[],[f158]) ).

cnf(s3,plain,
    ~ spl9_2,
    inference(sat_conversion,[],[f169]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

fof(f170,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n008.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 03:22:25 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 2.74/1.25  % (1836775)Detected formulas, will run a generic FOF schedule.
% 2.74/1.25  % (1836780)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=4057126952:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.25  % (1836783)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=348627631:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.25  % (1836783)First to succeed.
% 2.74/1.25  % (1836783)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1836775"
% 2.74/1.25  % (1836782)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=3841909877:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.25  % (1836781)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=966524936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.25  % (1836786)dis-21_1_sil=8000:lcm=predicate:random_seed=2347729884:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.74/1.25  % (1836784)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=653451908:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.25  % (1836785)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3433452910:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.25  % (1836784)Also succeeded, but the first one will report.
% 2.74/1.25  % (1836785)Also succeeded, but the first one will report.
% 2.74/1.25  % (1836786)Instruction limit reached! 
% 2.74/1.25  % (1836786)------------------------------
% 2.74/1.25  % (1836786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.25  % (1836786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.25  % (1836786)CaDiCaL version: 2.1.3
% 2.74/1.25  % (1836786)Termination reason: Instruction limit
% 2.74/1.25  % (1836786)Termination phase: Saturation
% 2.74/1.25  % (1836786)Time elapsed: 0.074 s
% 2.74/1.25  % (1836786)Peak memory usage: 90 MB
% 2.74/1.25  % (1836786)Instructions burned: 131 (million)
% 2.74/1.25  % (1836794)lrs+10_1_sil=8000:sp=occurrence:random_seed=3319232658:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.74/1.25  % (1836783)Refutation found. Thanks to Tanya!
% 2.74/1.25  % SZS status Theorem for theBenchmark
% 2.74/1.25  % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.45  % (1836783)------------------------------
% 3.43/1.45  % (1836783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.45  % (1836783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.45  % (1836783)CaDiCaL version: 2.1.3
% 3.43/1.45  % (1836783)Termination reason: Refutation
% 3.43/1.45  % (1836783)Time elapsed: 0.005 s
% 3.43/1.45  % (1836783)Peak memory usage: 89 MB
% 3.43/1.45  % (1836783)Instructions burned: 6 (million)
% 3.43/1.45  % (1836783)------------------------------
% 3.43/1.45  % (1836783)------------------------------
% 3.43/1.45  % (1836775)Success in time 0.4 s
% 3.43/1.45  % Vampire exiting
%------------------------------------------------------------------------------