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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : RNG047+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 12:35:51 PM UTC 2026

% Result   : Theorem 0.17s 0.54s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   88 (  22 unt;   4 def)
%            Number of atoms       :  256 ( 108 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  274 ( 106   ~; 124   |;  30   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn  47   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ( aNaturalNumber0(X0)
        & X0 != sz00 )
     => ? [X1] :
          ( aNaturalNumber0(X1)
          & X0 = szszuzczcdt0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).

fof(f30,axiom,
    ! [X0] :
      ( aVector0(X0)
     => aNaturalNumber0(aDimensionOf0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).

fof(f32,axiom,
    ! [X0] :
      ( aVector0(X0)
     => ( aDimensionOf0(X0) != sz00
       => ! [X1] :
            ( X1 = sziznziztdt0(X0)
          <=> ( aVector0(X1)
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
              & ! [X2] :
                  ( aNaturalNumber0(X2)
                 => sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).

fof(f33,axiom,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).

fof(f34,axiom,
    ( aDimensionOf0(xs) = aDimensionOf0(xt)
    & aDimensionOf0(xt) != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).

fof(f35,conjecture,
    aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f36,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f42,plain,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(flattening,[],[f36]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X1] :
          ( aNaturalNumber0(X1)
          & X0 = szszuzczcdt0(X1) )
      | ~ aNaturalNumber0(X0)
      | sz00 = X0 ),
    inference(ennf_transformation,[],[f4]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X1] :
          ( aNaturalNumber0(X1)
          & X0 = szszuzczcdt0(X1) )
      | ~ aNaturalNumber0(X0)
      | sz00 = X0 ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f47]) ).

fof(f81,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = sziznziztdt0(X0)
        <=> ( aVector0(X1)
            & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
            & ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) ) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = sziznziztdt0(X0)
        <=> ( aVector0(X1)
            & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
            & ! [X2] :
                ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                | ~ aNaturalNumber0(X2) ) ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0] :
      ( ( aNaturalNumber0(sK0(X0))
        & szszuzczcdt0(sK0(X0)) = X0 )
      | ~ aNaturalNumber0(X0)
      | sz00 = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f46]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = sziznziztdt0(X0)
            | ~ aVector0(X1)
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) ) )
          & ( ( aVector0(X1)
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
              & ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) ) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = sziznziztdt0(X0)
            | ~ aVector0(X1)
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) ) )
          & ( ( aVector0(X1)
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
              & ! [X2] :
                  ( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
                  | ~ aNaturalNumber0(X2) ) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = sziznziztdt0(X0)
            | ~ aVector0(X1)
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ? [X2] :
                ( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
                & aNaturalNumber0(X2) ) )
          & ( ( aVector0(X1)
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
              & ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) ) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(rectify,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = sziznziztdt0(X0)
            | ~ aVector0(X1)
            | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
            | ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
              & aNaturalNumber0(sK1(X0,X1)) ) )
          & ( ( aVector0(X1)
              & szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
              & ! [X3] :
                  ( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
                  | ~ aNaturalNumber0(X3) ) )
            | sziznziztdt0(X0) != X1 ) )
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f89]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | szszuzczcdt0(sK0(X0)) = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f95,plain,
    ! [X0] :
      ( aNaturalNumber0(sK0(X0))
      | ~ aNaturalNumber0(X0)
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | X0 = X1
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f129,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( aVector0(X1)
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f136,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f33]) ).

fof(f137,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f33]) ).

fof(f138,plain,
    sz00 != aDimensionOf0(xt),
    inference(cnf_transformation,[],[f34]) ).

fof(f139,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f34]) ).

fof(f140,plain,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    inference(cnf_transformation,[],[f42]) ).

fof(f141,plain,
    ! [X0] :
      ( aVector0(sziznziztdt0(X0))
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(equality_resolution,[],[f133]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz00 = aDimensionOf0(X0)
      | aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
    inference(equality_resolution,[],[f132]) ).

fof(f173,plain,
    ( aNaturalNumber0(aDimensionOf0(xt))
    | ~ aVector0(xs) ),
    inference(superposition,[],[f129,f139]) ).

fof(f174,plain,
    aNaturalNumber0(aDimensionOf0(xt)),
    inference(forward_subsumption_resolution,[],[f173,f137]) ).

fof(f298,plain,
    ( aDimensionOf0(xt) = szszuzczcdt0(sK0(aDimensionOf0(xt)))
    | sz00 = aDimensionOf0(xt) ),
    inference(resolution,[],[f94,f174]) ).

fof(f301,plain,
    aDimensionOf0(xt) = szszuzczcdt0(sK0(aDimensionOf0(xt))),
    inference(forward_subsumption_resolution,[],[f298,f138]) ).

fof(f479,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != aDimensionOf0(xt)
      | sK0(aDimensionOf0(xt)) = X0
      | ~ aNaturalNumber0(sK0(aDimensionOf0(xt)))
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f96,f301]) ).

fof(f847,definition,
    ( spl2_31
  <=> aNaturalNumber0(sK0(aDimensionOf0(xt))) ),
    introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ aNaturalNumber0(sK0(aDimensionOf0(xt)))
    | spl2_31 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f857,definition,
    ( spl2_34
  <=> ! [X0] :
        ( szszuzczcdt0(X0) != aDimensionOf0(xt)
        | ~ aNaturalNumber0(X0)
        | sK0(aDimensionOf0(xt)) = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).

fof(f858,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != aDimensionOf0(xt)
        | ~ aNaturalNumber0(X0)
        | sK0(aDimensionOf0(xt)) = X0 )
    | ~ spl2_34 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f859,plain,
    ( ~ spl2_31
    | spl2_34 ),
    inference(avatar_split_clause,[],[f479,f857,f847]) ).

fof(f860,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xt))
    | sz00 = aDimensionOf0(xt)
    | spl2_31 ),
    inference(resolution,[],[f849,f95]) ).

fof(f861,plain,
    ( sz00 = aDimensionOf0(xt)
    | spl2_31 ),
    inference(forward_subsumption_resolution,[],[f860,f174]) ).

fof(f862,plain,
    ( $false
    | spl2_31 ),
    inference(forward_subsumption_resolution,[],[f861,f138]) ).

fof(f863,plain,
    spl2_31,
    inference(avatar_contradiction_clause,[],[f862]) ).

fof(f3835,plain,
    ( sz00 = aDimensionOf0(xt)
    | aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) ),
    inference(resolution,[],[f142,f136]) ).

fof(f3836,plain,
    ( sz00 = aDimensionOf0(xs)
    | aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(resolution,[],[f142,f137]) ).

fof(f3838,plain,
    ( sz00 = aDimensionOf0(xt)
    | aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(forward_demodulation,[],[f3836,f139]) ).

fof(f3839,plain,
    aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))),
    inference(forward_subsumption_resolution,[],[f3835,f138]) ).

fof(f3840,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
    inference(forward_subsumption_resolution,[],[f3838,f138]) ).

fof(f3841,plain,
    aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
    inference(forward_demodulation,[],[f3840,f139]) ).

fof(f3911,plain,
    ( aDimensionOf0(xt) != aDimensionOf0(xt)
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | aDimensionOf0(sziznziztdt0(xt)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34 ),
    inference(superposition,[],[f858,f3839]) ).

fof(f3921,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | aDimensionOf0(sziznziztdt0(xt)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34 ),
    inference(trivial_inequality_removal,[],[f3911]) ).

fof(f3930,plain,
    ( aDimensionOf0(xt) != aDimensionOf0(xt)
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | aDimensionOf0(sziznziztdt0(xs)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34 ),
    inference(superposition,[],[f858,f3841]) ).

fof(f3940,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | aDimensionOf0(sziznziztdt0(xs)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34 ),
    inference(trivial_inequality_removal,[],[f3930]) ).

fof(f3945,definition,
    ( spl2_91
  <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))) ),
    introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).

fof(f3946,plain,
    ( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | ~ spl2_91 ),
    inference(avatar_component_clause,[],[f3945]) ).

fof(f3947,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))
    | spl2_91 ),
    inference(avatar_component_clause,[],[f3945]) ).

fof(f3953,plain,
    ( ~ aVector0(sziznziztdt0(xt))
    | spl2_91 ),
    inference(resolution,[],[f3947,f129]) ).

fof(f3954,plain,
    ( sz00 = aDimensionOf0(xt)
    | ~ aVector0(xt)
    | spl2_91 ),
    inference(resolution,[],[f3953,f141]) ).

fof(f3955,plain,
    ( ~ aVector0(xt)
    | spl2_91 ),
    inference(forward_subsumption_resolution,[],[f3954,f138]) ).

fof(f3956,plain,
    ( $false
    | spl2_91 ),
    inference(forward_subsumption_resolution,[],[f3955,f136]) ).

fof(f3957,plain,
    spl2_91,
    inference(avatar_contradiction_clause,[],[f3956]) ).

fof(f3967,definition,
    ( spl2_93
  <=> aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
    introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).

fof(f3968,plain,
    ( aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | ~ spl2_93 ),
    inference(avatar_component_clause,[],[f3967]) ).

fof(f3969,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | spl2_93 ),
    inference(avatar_component_clause,[],[f3967]) ).

fof(f3975,plain,
    ( ~ aVector0(sziznziztdt0(xs))
    | spl2_93 ),
    inference(resolution,[],[f3969,f129]) ).

fof(f3976,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ aVector0(xs)
    | spl2_93 ),
    inference(resolution,[],[f3975,f141]) ).

fof(f3977,plain,
    ( sz00 = aDimensionOf0(xs)
    | spl2_93 ),
    inference(forward_subsumption_resolution,[],[f3976,f137]) ).

fof(f3978,plain,
    ( sz00 = aDimensionOf0(xt)
    | spl2_93 ),
    inference(superposition,[],[f3977,f139]) ).

fof(f3984,plain,
    ( $false
    | spl2_93 ),
    inference(forward_subsumption_resolution,[],[f3978,f138]) ).

fof(f3985,plain,
    spl2_93,
    inference(avatar_contradiction_clause,[],[f3984]) ).

fof(f3997,plain,
    ( aDimensionOf0(sziznziztdt0(xt)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34
    | ~ spl2_91 ),
    inference(forward_subsumption_resolution,[],[f3921,f3946]) ).

fof(f3998,plain,
    ( aDimensionOf0(sziznziztdt0(xs)) = sK0(aDimensionOf0(xt))
    | ~ spl2_34
    | ~ spl2_93 ),
    inference(forward_subsumption_resolution,[],[f3940,f3968]) ).

fof(f4022,plain,
    ( aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))
    | ~ spl2_34
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(forward_demodulation,[],[f3998,f3997]) ).

fof(f4023,plain,
    ( $false
    | ~ spl2_34
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(forward_subsumption_resolution,[],[f4022,f140]) ).

fof(f4024,plain,
    ( ~ spl2_34
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(avatar_contradiction_clause,[],[f4023]) ).

cnf(s402,plain,
    ( ~ spl2_31
    | spl2_34 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s407,plain,
    spl2_31,
    inference(sat_conversion,[],[f863]) ).

cnf(s1558,plain,
    spl2_91,
    inference(sat_conversion,[],[f3957]) ).

cnf(s1573,plain,
    spl2_93,
    inference(sat_conversion,[],[f3985]) ).

cnf(s1610,plain,
    ( ~ spl2_34
    | ~ spl2_91
    | ~ spl2_93 ),
    inference(sat_conversion,[],[f4024]) ).

cnf(s1612,plain,
    ~ spl2_34,
    inference(rat,[],[s1610,s1573,s1558]) ).

cnf(s1618,plain,
    $false,
    inference(rat,[],[s402,s1612,s407]) ).

fof(f4025,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1618]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG047+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n002.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 : Sun Sep 27 23:05:06 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.54  % (3994762)Will run a generic schedule for satisfiability detection.
% 0.17/0.54  % (3994770)dis+10_1_sil=32000:sp=arity:random_seed=2002579423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.54  % (3994768)% WARNING: option uhcvi not known.
% 0.17/0.54  % (3994767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2117380817_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.54  % (3994768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3489126692:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.54  % (3994769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3544212669:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.54  % (3994771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=984514774:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.54  % (3994773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3734893299:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.54  % (3994772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3708725311:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.54  % TRYING [1]
% 0.17/0.54  % TRYING [2]
% 0.17/0.54  % TRYING [3]
% 0.17/0.54  % TRYING [4]
% 0.17/0.54  % (3994770)Instruction limit reached! 
% 0.17/0.54  % (3994770)------------------------------
% 0.17/0.54  % (3994770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (3994770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (3994770)CaDiCaL version: 2.1.3
% 0.17/0.54  % (3994770)Termination reason: Instruction limit
% 0.17/0.54  % (3994770)Termination phase: Saturation
% 0.17/0.54  % (3994770)Time elapsed: 0.036 s
% 0.17/0.54  % (3994770)Peak memory usage: 13 MB
% 0.17/0.54  % (3994770)Instructions burned: 104 (million)
% 0.17/0.54  % (3994781)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2544089888:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.54  % TRYING [1]
% 0.17/0.54  % TRYING [2]
% 0.17/0.54  % TRYING [3]
% 0.17/0.54  % TRYING [4]
% 0.17/0.54  % (3994771)Instruction limit reached! 
% 0.17/0.54  % (3994771)------------------------------
% 0.17/0.54  % (3994771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (3994771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (3994771)CaDiCaL version: 2.1.3
% 0.17/0.54  % (3994771)Termination reason: Instruction limit
% 0.17/0.54  % (3994771)Termination phase: Saturation
% 0.17/0.54  % (3994771)Time elapsed: 0.064 s
% 0.17/0.54  % (3994771)Peak memory usage: 13 MB
% 0.17/0.54  % (3994771)Instructions burned: 117 (million)
% 0.17/0.54  % TRYING [5]
% 0.17/0.54  % TRYING [5]
% 0.17/0.54  % (3994772)Instruction limit reached! 
% 0.17/0.54  % (3994772)------------------------------
% 0.17/0.54  % (3994772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (3994772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (3994772)CaDiCaL version: 2.1.3
% 0.17/0.54  % (3994772)Termination reason: Instruction limit
% 0.17/0.54  % (3994772)Termination phase: Saturation
% 0.17/0.54  % (3994772)Time elapsed: 0.077 s
% 0.17/0.54  % (3994772)Peak memory usage: 13 MB
% 0.17/0.54  % (3994772)Instructions burned: 131 (million)
% 0.17/0.54  % (3994769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3994762-3994769"...
% 0.17/0.54  % (3994769)...printing done.
% 0.17/0.54  % (3994769)Refutation found. Thanks to Tanya!
% 0.17/0.54  % SZS status Theorem for theBenchmark
% 0.17/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54  % (3994769)------------------------------
% 0.17/0.54  % (3994769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (3994769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (3994769)CaDiCaL version: 2.1.3
% 0.17/0.54  % (3994769)Termination reason: Refutation
% 0.17/0.54  % (3994769)Time elapsed: 0.080 s
% 0.17/0.54  % (3994769)Peak memory usage: 14 MB
% 0.17/0.54  % (3994769)Instructions burned: 124 (million)
% 0.17/0.54  % (3994762)Success in time 0.115 s
% 0.17/0.54  % Vampire exiting
%------------------------------------------------------------------------------