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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM490+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 12:15:25 PM UTC 2026

% Result   : Theorem 3.00s 1.26s
% Output   : Refutation 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   71 (  20 unt;   2 def)
%            Number of atoms       :  214 (  39 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  257 ( 114   ~; 108   |;  22   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn  67   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( X2 = sdtmndt0(X1,X0)
          <=> ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(f39,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

fof(f42,axiom,
    sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).

fof(f43,axiom,
    xr = sdtmndt0(xn,xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).

fof(f46,axiom,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1951) ).

fof(f47,conjecture,
    sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f48,negated_conjecture,
    sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    inference(negated_conjecture,[status(cth)],[f47]) ).

fof(f51,plain,
    sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    inference(flattening,[],[f48]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f54]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f77]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f79]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X0,X2) != X1 ) )
        & ( ? [X2] :
              ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X0,X2) != X1 ) )
        & ( ? [X3] :
              ( aNaturalNumber0(X3)
              & sdtpldt0(X0,X3) = X1 )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(rectify,[],[f118]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtpldt0(X0,X2) != X1 ) )
        & ( ( aNaturalNumber0(sK0(X0,X1))
            & sdtpldt0(X0,sK0(X0,X1)) = X1 )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f119]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtmndt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtpldt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtmndt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtpldt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f121]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( sdtmndt0(X1,X0) = X2
      | ~ aNaturalNumber0(X2)
      | sdtpldt0(X0,X2) != X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f201,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f202,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f203,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f207,plain,
    sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f208,plain,
    xr = sdtmndt0(xn,xp),
    inference(cnf_transformation,[],[f43]) ).

fof(f212,plain,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    inference(cnf_transformation,[],[f46]) ).

fof(f213,plain,
    sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    inference(cnf_transformation,[],[f51]) ).

fof(f214,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
    inference(equality_resolution,[],[f159]) ).

fof(f215,plain,
    ! [X2,X0] :
      ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
    inference(equality_resolution,[],[f162]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(equality_resolution,[],[f161]) ).

fof(f262,definition,
    ( spl4_5
  <=> aNaturalNumber0(sdtasdt0(xr,xm)) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f263,plain,
    ( aNaturalNumber0(sdtasdt0(xr,xm))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | spl4_5 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f266,definition,
    ( spl4_6
  <=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

fof(f267,plain,
    ( aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | spl4_6 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f274,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | spl4_5 ),
    inference(resolution,[],[f264,f137]) ).

fof(f275,plain,
    ( ~ aNaturalNumber0(xr)
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f274,f202]) ).

fof(f334,plain,
    ( aNaturalNumber0(xr)
    | ~ sdtlseqdt0(xp,xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn) ),
    inference(superposition,[],[f216,f208]) ).

fof(f335,plain,
    ( ~ sdtlseqdt0(xp,xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f334,f275]) ).

fof(f336,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f335,f207]) ).

fof(f337,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f336,f201]) ).

fof(f338,plain,
    ( $false
    | spl4_5 ),
    inference(forward_subsumption_resolution,[],[f337,f203]) ).

fof(f339,plain,
    spl4_5,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f404,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xm)
    | spl4_6 ),
    inference(resolution,[],[f268,f137]) ).

fof(f405,plain,
    ( ~ aNaturalNumber0(xm)
    | spl4_6 ),
    inference(forward_subsumption_resolution,[],[f404,f201]) ).

fof(f406,plain,
    ( $false
    | spl4_6 ),
    inference(forward_subsumption_resolution,[],[f405,f202]) ).

fof(f407,plain,
    spl4_6,
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f472,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f214,f136]) ).

fof(f1253,plain,
    ! [X2,X0] :
      ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
    inference(forward_subsumption_resolution,[],[f215,f472]) ).

fof(f1254,plain,
    ! [X2,X0] :
      ( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1253,f136]) ).

fof(f1260,plain,
    ( sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
    inference(superposition,[],[f1254,f212]) ).

fof(f1278,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
    inference(forward_subsumption_resolution,[],[f1260,f213]) ).

fof(f1286,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f1278,f263]) ).

fof(f1288,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_subsumption_resolution,[],[f1286,f267]) ).

fof(f1289,plain,
    ( ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f1288]) ).

cnf(s8,plain,
    spl4_5,
    inference(sat_conversion,[],[f339]) ).

cnf(s13,plain,
    spl4_6,
    inference(sat_conversion,[],[f407]) ).

cnf(s46,plain,
    ( ~ spl4_5
    | ~ spl4_6 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s52,plain,
    ~ spl4_5,
    inference(rat,[],[s46,s13]) ).

cnf(s53,plain,
    $false,
    inference(rat,[],[s8,s52]) ).

fof(f1290,plain,
    $false,
    inference(avatar_sat_refutation,[],[s53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM490+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 20:12:24 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 3.00/1.26  % (2693338)Detected formulas, will run a generic FOF schedule.
% 3.00/1.26  % (2693349)dis-21_1_sil=8000:lcm=predicate:random_seed=1544395569: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)
% 3.00/1.26  % (2693348)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2753648706:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.26  % (2693347)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3052493195:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.26  % (2693345)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=1030816556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.26  % (2693346)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3792242397:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.26  % (2693343)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=1262939332:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.26  % (2693344)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=2595672714:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.26  % (2693349)Instruction limit reached! 
% 3.00/1.26  % (2693349)------------------------------
% 3.00/1.26  % (2693349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.26  % (2693349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.26  % (2693349)CaDiCaL version: 2.1.3
% 3.00/1.26  % (2693349)Termination reason: Instruction limit
% 3.00/1.26  % (2693349)Termination phase: Saturation
% 3.00/1.26  % (2693349)Time elapsed: 0.044 s
% 3.00/1.26  % (2693349)Peak memory usage: 90 MB
% 3.00/1.26  % (2693349)Instructions burned: 131 (million)
% 3.00/1.26  % (2693348)First to succeed.
% 3.00/1.26  % (2693348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2693338"
% 3.00/1.26  % (2693347)Also succeeded, but the first one will report.
% 3.00/1.26  % (2693346)Also succeeded, but the first one will report.
% 3.00/1.26  % (2693357)lrs+10_1_sil=8000:sp=occurrence:random_seed=1724258574:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.00/1.26  % (2693357)Also succeeded, but the first one will report.
% 3.00/1.26  % (2693348)Refutation found. Thanks to Tanya!
% 3.00/1.26  % SZS status Theorem for theBenchmark
% 3.00/1.26  % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.46  % (2693348)------------------------------
% 3.64/1.46  % (2693348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.46  % (2693348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.46  % (2693348)CaDiCaL version: 2.1.3
% 3.64/1.46  % (2693348)Termination reason: Refutation
% 3.64/1.46  % (2693348)Time elapsed: 0.026 s
% 3.64/1.46  % (2693348)Peak memory usage: 90 MB
% 3.64/1.46  % (2693348)Instructions burned: 35 (million)
% 3.64/1.46  % (2693348)------------------------------
% 3.64/1.46  % (2693348)------------------------------
% 3.64/1.46  % (2693338)Success in time 0.435 s
% 3.64/1.46  % Vampire exiting
%------------------------------------------------------------------------------