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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : RNG052+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 12:35:52 PM UTC 2026

% Result   : Theorem 22.30s 8.19s
% Output   : Refutation 22.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   83 (  29 unt;   3 def)
%            Number of atoms       :  234 ( 100 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  254 ( 103   ~; 104   |;  31   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn  50   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => iLess0(X0,szszuzczcdt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).

fof(f30,axiom,
    ! [X0] :
      ( aVector0(X0)
     => aNaturalNumber0(aDimensionOf0(X0)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefInit) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( aVector0(X0)
        & aVector0(X1) )
     => ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
          & aDimensionOf0(X1) != sz00 )
       => aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).

fof(f38,axiom,
    ( aVector0(xs)
    & aVector0(xt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( ( aVector0(X0)
        & aVector0(X1) )
     => ( aDimensionOf0(X0) = aDimensionOf0(X1)
       => ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
         => sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).

fof(f40,axiom,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).

fof(f41,axiom,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).

fof(f42,axiom,
    ( aVector0(xp)
    & xp = sziznziztdt0(xs) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(f43,axiom,
    ( aVector0(xq)
    & xq = sziznziztdt0(xt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

fof(f46,axiom,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(f47,axiom,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(f48,axiom,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).

fof(f56,conjecture,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f57,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f63,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(flattening,[],[f57]) ).

fof(f69,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f102,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f105,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(f106,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,[],[f105]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(flattening,[],[f107]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(flattening,[],[f116]) ).

fof(f119,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,[],[f106]) ).

fof(f120,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,[],[f119]) ).

fof(f121,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,[],[f120]) ).

fof(f122,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))],[f121]) ).

fof(f129,plain,
    ! [X0] :
      ( iLess0(X0,szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f162,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
      | sziznziztdt0(X0) != X1
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f174,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

fof(f175,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
      | ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f177,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f40]) ).

fof(f178,plain,
    sz00 != aDimensionOf0(xs),
    inference(cnf_transformation,[],[f41]) ).

fof(f179,plain,
    xp = sziznziztdt0(xs),
    inference(cnf_transformation,[],[f42]) ).

fof(f180,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f42]) ).

fof(f181,plain,
    xq = sziznziztdt0(xt),
    inference(cnf_transformation,[],[f43]) ).

fof(f182,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f43]) ).

fof(f187,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f189,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f191,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[],[f48]) ).

fof(f207,plain,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f63]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sz00 = aDimensionOf0(X0)
      | aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
    inference(equality_resolution,[],[f165]) ).

fof(f611,plain,
    ( sz00 = aDimensionOf0(xs)
    | aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(resolution,[],[f209,f175]) ).

fof(f634,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))),
    inference(forward_subsumption_resolution,[],[f611,f178]) ).

fof(f636,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
    inference(forward_demodulation,[],[f634,f179]) ).

fof(f986,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt))
      | sz00 = aDimensionOf0(xs)
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(superposition,[],[f169,f177]) ).

fof(f989,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt))
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(forward_subsumption_resolution,[],[f986,f178]) ).

fof(f991,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt))
      | ~ aVector0(X0) ),
    inference(forward_subsumption_resolution,[],[f989,f174]) ).

fof(f993,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | aDimensionOf0(X0) != aDimensionOf0(xs)
      | aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) ),
    inference(forward_demodulation,[],[f991,f181]) ).

fof(f1144,plain,
    ( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq)))
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq)
    | ~ aVector0(xp)
    | ~ aVector0(xq) ),
    inference(superposition,[],[f176,f191]) ).

fof(f1159,plain,
    ( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq)))
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq)
    | ~ aVector0(xq) ),
    inference(forward_subsumption_resolution,[],[f1144,f180]) ).

fof(f1164,definition,
    ( spl2_44
  <=> iLess0(aDimensionOf0(xp),aDimensionOf0(xs)) ),
    introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).

fof(f1165,plain,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1172,plain,
    ( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),sdtasasdt0(xq,xq)))
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq) ),
    inference(forward_subsumption_resolution,[],[f1159,f182]) ).

fof(f1191,plain,
    ( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xp,xp),xD))
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq) ),
    inference(forward_demodulation,[],[f1172,f189]) ).

fof(f1196,definition,
    ( spl2_50
  <=> aDimensionOf0(xp) = aDimensionOf0(xq) ),
    introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).

fof(f1322,plain,
    ( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq) ),
    inference(forward_demodulation,[],[f1191,f187]) ).

fof(f1324,plain,
    ( ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | aDimensionOf0(xp) != aDimensionOf0(xq) ),
    inference(forward_subsumption_resolution,[],[f1322,f207]) ).

fof(f2264,plain,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(superposition,[],[f129,f636]) ).

fof(f2268,definition,
    ( spl2_101
  <=> aNaturalNumber0(aDimensionOf0(xp)) ),
    introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).

fof(f2270,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | spl2_101 ),
    inference(avatar_component_clause,[],[f2268]) ).

fof(f2452,plain,
    ( ~ aVector0(xp)
    | spl2_101 ),
    inference(resolution,[],[f2270,f162]) ).

fof(f2453,plain,
    ( $false
    | spl2_101 ),
    inference(forward_subsumption_resolution,[],[f2452,f180]) ).

fof(f2454,plain,
    spl2_101,
    inference(avatar_contradiction_clause,[],[f2453]) ).

fof(f2456,plain,
    ( ~ spl2_101
    | spl2_44 ),
    inference(avatar_split_clause,[],[f2264,f1164,f2268]) ).

fof(f11793,plain,
    ( aDimensionOf0(xs) != aDimensionOf0(xs)
    | aDimensionOf0(xq) = aDimensionOf0(sziznziztdt0(xs)) ),
    inference(resolution,[],[f993,f175]) ).

fof(f11797,plain,
    aDimensionOf0(xq) = aDimensionOf0(sziznziztdt0(xs)),
    inference(trivial_inequality_removal,[],[f11793]) ).

fof(f11813,plain,
    aDimensionOf0(xp) = aDimensionOf0(xq),
    inference(forward_demodulation,[],[f11797,f179]) ).

fof(f11865,plain,
    ( aDimensionOf0(xp) != aDimensionOf0(xq)
    | ~ spl2_44 ),
    inference(forward_subsumption_resolution,[],[f1324,f1165]) ).

fof(f11866,plain,
    spl2_50,
    inference(avatar_split_clause,[],[f11813,f1196]) ).

fof(f11942,plain,
    ( ~ spl2_50
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f11865,f1164,f1196]) ).

cnf(s121,plain,
    spl2_101,
    inference(sat_conversion,[],[f2454]) ).

cnf(s123,plain,
    ( spl2_44
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s1033,plain,
    spl2_50,
    inference(sat_conversion,[],[f11866]) ).

cnf(s1047,plain,
    ( ~ spl2_44
    | ~ spl2_50 ),
    inference(sat_conversion,[],[f11942]) ).

cnf(s1110,plain,
    ~ spl2_44,
    inference(rat,[],[s1047,s1033]) ).

cnf(s1117,plain,
    ~ spl2_101,
    inference(rat,[],[s123,s1110]) ).

cnf(s1118,plain,
    $false,
    inference(rat,[],[s121,s1117]) ).

fof(f12083,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG052+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n013.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 23:02:07 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.66/3.99  % (650650)Will run a generic schedule for satisfiability detection.
% 24.66/3.99  % (650658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3022623547:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.66/3.99  % (650657)% WARNING: option uhcvi not known.
% 24.66/3.99  % (650656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3756798973_2999 on theBenchmark for (2999ds/0Mi)
% 24.66/3.99  % (650659)dis+10_1_sil=32000:sp=arity:random_seed=3036127657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.66/3.99  % (650657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=178161376:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.66/3.99  % (650660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=386354189:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.66/3.99  % (650661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3166148368:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.66/3.99  % (650662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1583124090:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.66/3.99  % TRYING [1]
% 24.66/3.99  % TRYING [2]
% 24.66/3.99  % TRYING [3]
% 24.66/3.99  % TRYING [4]
% 24.66/3.99  % (650659)Instruction limit reached! 
% 24.66/3.99  % (650659)------------------------------
% 24.66/3.99  % (650659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.66/3.99  % (650659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.66/3.99  % (650659)CaDiCaL version: 2.1.3
% 24.66/3.99  % (650659)Termination reason: Instruction limit
% 24.66/3.99  % (650659)Termination phase: Saturation
% 24.66/3.99  % (650659)Time elapsed: 0.104 s
% 24.66/3.99  % (650659)Peak memory usage: 12 MB
% 24.66/3.99  % (650659)Instructions burned: 103 (million)
% 24.66/3.99  % (650660)Instruction limit reached! 
% 24.66/3.99  % (650660)------------------------------
% 24.66/3.99  % (650660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.66/3.99  % (650660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.66/3.99  % (650660)CaDiCaL version: 2.1.3
% 24.66/3.99  % (650660)Termination reason: Instruction limit
% 24.66/3.99  % (650660)Termination phase: Saturation
% 24.66/3.99  % (650660)Time elapsed: 0.117 s
% 24.66/3.99  % (650660)Peak memory usage: 13 MB
% 24.66/3.99  % (650660)Instructions burned: 116 (million)
% 24.66/3.99  % (650661)Instruction limit reached! 
% 24.66/3.99  % (650661)------------------------------
% 24.66/3.99  % (650661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.66/3.99  % (650661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.66/3.99  % (650661)CaDiCaL version: 2.1.3
% 24.66/3.99  % (650661)Termination reason: Instruction limit
% 24.66/3.99  % (650661)Termination phase: Saturation
% 24.66/3.99  % (650661)Time elapsed: 0.127 s
% 24.66/3.99  % (650661)Peak memory usage: 13 MB
% 24.66/3.99  % (650661)Instructions burned: 131 (million)
% 24.66/3.99  % (650662)Instruction limit reached! 
% 24.66/3.99  % (650662)------------------------------
% 24.66/3.99  % (650662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.66/3.99  % (650662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.66/3.99  % (650662)CaDiCaL version: 2.1.3
% 24.66/3.99  % (650662)Termination reason: Instruction limit
% 24.66/3.99  % (650662)Termination phase: Saturation
% 24.66/3.99  % (650662)Time elapsed: 0.127 s
% 24.66/3.99  % (650662)Peak memory usage: 14 MB
% 24.66/3.99  % (650662)Instructions burned: 159 (million)
% 24.66/3.99  % (650674)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1695158855:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 24.66/3.99  % TRYING [5]
% 24.66/3.99  % TRYING [1]
% 24.66/3.99  % TRYING [2]
% 24.66/3.99  % (650675)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1501839777:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 24.66/3.99  % (650677)ott-21_1_sil=16000:fs=off:random_seed=2271622720:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 24.66/3.99  % TRYING [3]
% 24.66/3.99  % (650676)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1531773526:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.66/3.99  % TRYING [4]
% 24.66/3.99  % (650677)Instruction limit reached! 
% 24.66/3.99  % (650677)------------------------------
% 24.66/3.99  % (650677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.66/3.99  % (650677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650677)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650677)Termination reason: Instruction limit
% 53.95/8.07  % (650677)Termination phase: Saturation
% 53.95/8.07  % (650677)Time elapsed: 0.097 s
% 53.95/8.07  % (650677)Peak memory usage: 13 MB
% 53.95/8.07  % (650677)Instructions burned: 181 (million)
% 53.95/8.07  % TRYING [5]
% 53.95/8.07  % (650675)Instruction limit reached! 
% 53.95/8.07  % (650675)------------------------------
% 53.95/8.07  % (650675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.95/8.07  % (650675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650675)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650675)Termination reason: Instruction limit
% 53.95/8.07  % (650675)Termination phase: Saturation
% 53.95/8.07  % (650675)Time elapsed: 0.113 s
% 53.95/8.07  % (650675)Peak memory usage: 12 MB
% 53.95/8.07  % (650675)Instructions burned: 131 (million)
% 53.95/8.07  % (650683)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3466952164:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 53.95/8.07  % (650684)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2881739553:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 53.95/8.07  % TRYING [1]
% 53.95/8.07  % TRYING [2]
% 53.95/8.07  % TRYING [3]
% 53.95/8.07  % TRYING [6]
% 53.95/8.07  % TRYING [4]
% 53.95/8.07  % TRYING [6]
% 53.95/8.07  % (650674)Instruction limit reached! 
% 53.95/8.07  % (650674)------------------------------
% 53.95/8.07  % (650674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.95/8.07  % (650674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650674)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650674)Termination reason: Instruction limit
% 53.95/8.07  % (650674)Termination phase: Finite model building constraint generation
% 53.95/8.07  % (650674)Time elapsed: 0.473 s
% 53.95/8.07  % (650674)Peak memory usage: 36 MB
% 53.95/8.07  % (650674)Instructions burned: 715 (million)
% 53.95/8.07  % (650683)Instruction limit reached! 
% 53.95/8.07  % (650683)------------------------------
% 53.95/8.07  % (650683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.95/8.07  % (650683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650683)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650683)Termination reason: Instruction limit
% 53.95/8.07  % (650683)Termination phase: Saturation
% 53.95/8.07  % (650683)Time elapsed: 0.368 s
% 53.95/8.07  % (650683)Peak memory usage: 15 MB
% 53.95/8.07  % (650683)Instructions burned: 478 (million)
% 53.95/8.07  % (650694)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=640753758:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 53.95/8.07  % (650695)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4028103054:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 53.95/8.07  % (650676)Instruction limit reached! 
% 53.95/8.07  % (650676)------------------------------
% 53.95/8.07  % (650676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.95/8.07  % (650676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650676)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650676)Termination reason: Instruction limit
% 53.95/8.07  % (650676)Termination phase: Saturation
% 53.95/8.07  % (650676)Time elapsed: 0.611 s
% 53.95/8.07  % (650676)Peak memory usage: 19 MB
% 53.95/8.07  % (650676)Instructions burned: 685 (million)
% 53.95/8.07  % TRYING [5]
% 53.95/8.07  % (650700)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=965862172:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 53.95/8.07  % (650684)Instruction limit reached! 
% 53.95/8.07  % (650684)------------------------------
% 53.95/8.07  % (650684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.95/8.07  % (650684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.95/8.07  % (650684)CaDiCaL version: 2.1.3
% 53.95/8.07  % (650684)Termination reason: Instruction limit
% 53.95/8.07  % (650684)Termination phase: Finite model building constraint generation
% 53.95/8.07  % (650684)Time elapsed: 0.525 s
% 53.95/8.07  % (650684)Peak memory usage: 20 MB
% 53.95/8.07  % (650684)Instructions burned: 866 (million)
% 53.95/8.07  % (650703)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3928325419:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 53.95/8.07  % TRYING [7]
% 53.95/8.07  % (650700)Instruction limit reached! 
% 53.95/8.07  % (650700)------------------------------
% 53.95/8.07  % (650700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650700)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650700)Termination reason: Instruction limit
% 22.30/8.19  % (650700)Termination phase: Saturation
% 22.30/8.19  % (650700)Time elapsed: 0.517 s
% 22.30/8.19  % (650700)Peak memory usage: 16 MB
% 22.30/8.19  % (650700)Instructions burned: 692 (million)
% 22.30/8.19  % (650713)fmb+10_1_sil=64000:random_seed=3754368110:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 22.30/8.19  % (650695)Instruction limit reached! 
% 22.30/8.19  % (650695)------------------------------
% 22.30/8.19  % (650695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650695)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650695)Termination reason: Instruction limit
% 22.30/8.19  % (650695)Termination phase: Finite model building constraint generation
% 22.30/8.19  % (650695)Time elapsed: 0.690 s
% 22.30/8.19  % (650695)Peak memory usage: 107 MB
% 22.30/8.19  % (650695)Instructions burned: 890 (million)
% 22.30/8.19  % TRYING [1]
% 22.30/8.19  % TRYING [2]
% 22.30/8.19  % TRYING [3]
% 22.30/8.19  % (650715)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3192816607:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 22.30/8.19  % TRYING [20]
% 22.30/8.19  % TRYING [4]
% 22.30/8.19  % (650703)Instruction limit reached! 
% 22.30/8.19  % (650703)------------------------------
% 22.30/8.19  % (650703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650703)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650703)Termination reason: Instruction limit
% 22.30/8.19  % (650703)Termination phase: Saturation
% 22.30/8.19  % (650703)Time elapsed: 0.733 s
% 22.30/8.19  % (650703)Peak memory usage: 20 MB
% 22.30/8.19  % (650703)Instructions burned: 880 (million)
% 22.30/8.19  % (650718)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3836782986:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 22.30/8.19  % TRYING [8]
% 22.30/8.19  % (650694)Instruction limit reached! 
% 22.30/8.19  % (650694)------------------------------
% 22.30/8.19  % (650694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650694)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650694)Termination reason: Instruction limit
% 22.30/8.19  % (650694)Termination phase: Saturation
% 22.30/8.19  % (650694)Time elapsed: 1.001 s
% 22.30/8.19  % (650694)Peak memory usage: 26 MB
% 22.30/8.19  % (650694)Instructions burned: 1180 (million)
% 22.30/8.19  % (650720)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1395216966:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 22.30/8.19  % TRYING [5]
% 22.30/8.19  % (650718)Instruction limit reached! 
% 22.30/8.19  % (650718)------------------------------
% 22.30/8.19  % (650718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650718)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650718)Termination reason: Instruction limit
% 22.30/8.19  % (650718)Termination phase: Finite model building constraint generation
% 22.30/8.19  % (650718)Time elapsed: 0.614 s
% 22.30/8.19  % (650718)Peak memory usage: 63 MB
% 22.30/8.19  % (650718)Instructions burned: 921 (million)
% 22.30/8.19  % (650726)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2085608319:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 22.30/8.19  % TRYING [8]
% 22.30/8.19  % TRYING [6]
% 22.30/8.19  % (650726)Instruction limit reached! 
% 22.30/8.19  % (650726)------------------------------
% 22.30/8.19  % (650726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650726)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650726)Termination reason: Instruction limit
% 22.30/8.19  % (650726)Termination phase: Saturation
% 22.30/8.19  % (650726)Time elapsed: 1.209 s
% 22.30/8.19  % (650726)Peak memory usage: 17 MB
% 22.30/8.19  % (650726)Instructions burned: 1472 (million)
% 22.30/8.19  % (650735)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3713462358:i=6324_2964 on theBenchmark for (2964ds/6324Mi)
% 22.30/8.19  % (650735)Cannot represent all propositional literals internally
% 22.30/8.19  % (650735)Refutation not found, incomplete strategy
% 22.30/8.19  % (650735)------------------------------
% 22.30/8.19  % (650735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650735)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650735)Termination reason: Refutation not found, incomplete strategy
% 22.30/8.19  % (650735)Time elapsed: 0.013 s
% 22.30/8.19  % (650735)Peak memory usage: 10 MB
% 22.30/8.19  % (650735)Instructions burned: 14 (million)
% 22.30/8.19  % (650735)------------------------------
% 22.30/8.19  % (650735)------------------------------
% 22.30/8.19  % (650738)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3517650351:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 22.30/8.19  % TRYING [16]
% 22.30/8.19  % (650738)Instruction limit reached! 
% 22.30/8.19  % (650738)------------------------------
% 22.30/8.19  % (650738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650738)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650738)Termination reason: Instruction limit
% 22.30/8.19  % (650738)Termination phase: Finite model building constraint generation
% 22.30/8.19  % (650738)Time elapsed: 0.808 s
% 22.30/8.19  % (650738)Peak memory usage: 146 MB
% 22.30/8.19  % (650738)Instructions burned: 2174 (million)
% 22.30/8.19  % (650824)ott-2_1_sil=16000:newcnf=on:random_seed=166085334:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 22.30/8.19  % (650824)Instruction limit reached! 
% 22.30/8.19  % (650824)------------------------------
% 22.30/8.19  % (650824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650824)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650824)Termination reason: Instruction limit
% 22.30/8.19  % (650824)Termination phase: Saturation
% 22.30/8.19  % (650824)Time elapsed: 0.446 s
% 22.30/8.19  % (650824)Peak memory usage: 24 MB
% 22.30/8.19  % (650824)Instructions burned: 870 (million)
% 22.30/8.19  % (650897)ott+10_1_sil=32000:tgt=ground:random_seed=2389632176:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 22.30/8.19  % (650720)Instruction limit reached! 
% 22.30/8.19  % (650720)------------------------------
% 22.30/8.19  % (650720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650720)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650720)Termination reason: Instruction limit
% 22.30/8.19  % (650720)Termination phase: Saturation
% 22.30/8.19  % (650720)Time elapsed: 3.363 s
% 22.30/8.19  % (650720)Peak memory usage: 57 MB
% 22.30/8.19  % (650720)Instructions burned: 5131 (million)
% 22.30/8.19  % (650899)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1429752762:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 22.30/8.19  % TRYING [1]
% 22.30/8.19  % TRYING [2]
% 22.30/8.19  % TRYING [3]
% 22.30/8.19  % TRYING [4]
% 22.30/8.19  % TRYING [5]
% 22.30/8.19  % TRYING [6]
% 22.30/8.19  % (650715)Instruction limit reached! 
% 22.30/8.19  % (650715)------------------------------
% 22.30/8.19  % (650715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650715)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650715)Termination reason: Instruction limit
% 22.30/8.19  % (650715)Termination phase: Finite model building constraint generation
% 22.30/8.19  % (650715)Time elapsed: 4.118 s
% 22.30/8.19  % (650715)Peak memory usage: 482 MB
% 22.30/8.19  % (650715)Instructions burned: 9530 (million)
% 22.30/8.19  % TRYING [9]
% 22.30/8.19  % (650901)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=147481448:i=3512:aac=none_2943 on theBenchmark for (2943ds/3512Mi)
% 22.30/8.19  % TRYING [7]
% 22.30/8.19  % TRYING [7]
% 22.30/8.19  % TRYING [8]
% 22.30/8.19  % (650901)Instruction limit reached! 
% 22.30/8.19  % (650901)------------------------------
% 22.30/8.19  % (650901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650901)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650901)Termination reason: Instruction limit
% 22.30/8.19  % (650901)Termination phase: Saturation
% 22.30/8.19  % (650901)Time elapsed: 1.824 s
% 22.30/8.19  % (650901)Peak memory usage: 41 MB
% 22.30/8.19  % (650901)Instructions burned: 3512 (million)
% 22.30/8.19  % (650903)dis+21_1_sil=32000:sas=cadical:random_seed=3270170628:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 22.30/8.19  % (650897)Instruction limit reached! 
% 22.30/8.19  % (650897)------------------------------
% 22.30/8.19  % (650897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650897)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650897)Termination reason: Instruction limit
% 22.30/8.19  % (650897)Termination phase: Saturation
% 22.30/8.19  % (650897)Time elapsed: 2.727 s
% 22.30/8.19  % (650897)Peak memory usage: 80 MB
% 22.30/8.19  % (650897)Instructions burned: 5116 (million)
% 22.30/8.19  % (650905)ott+11_1_sil=16000:gs=on:random_seed=1684435855:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2923 on theBenchmark for (2923ds/2251Mi)
% 22.30/8.19  % (650903) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-650650-650903"...
% 22.30/8.19  % (650903)...printing done.
% 22.30/8.19  % (650903)Refutation found. Thanks to Tanya!
% 22.30/8.19  % SZS status Theorem for theBenchmark
% 22.30/8.19  % SZS output start Proof for theBenchmark
% See solution above
% 22.30/8.19  % (650903)------------------------------
% 22.30/8.19  % (650903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/8.19  % (650903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/8.19  % (650903)CaDiCaL version: 2.1.3
% 22.30/8.19  % (650903)Termination reason: Refutation
% 22.30/8.19  % (650903)Time elapsed: 0.186 s
% 22.30/8.19  % (650903)Peak memory usage: 17 MB
% 22.30/8.19  % (650903)Instructions burned: 345 (million)
% 22.30/8.19  % (650650)Success in time 7.748 s
% 22.30/8.19  % Vampire exiting
%------------------------------------------------------------------------------