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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : RNG112+4 : 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 : n011.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 12:36:05 PM UTC 2026

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   73 (  15 unt;   4 def)
%            Number of atoms       :  303 ( 100 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  345 ( 115   ~; 127   |;  88   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn  61   !;  51   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,axiom,
    ? [X0] :
      ( ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xa))
        <=> ? [X2] :
              ( aElement0(X2)
              & sdtasdt0(xa,X2) = X1 ) )
      & ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xb))
        <=> ? [X2] :
              ( aElement0(X2)
              & sdtasdt0(xb,X2) = X1 ) )
      & ? [X1,X2] :
          ( aElementOf0(X1,slsdtgt0(xa))
          & aElementOf0(X2,slsdtgt0(xb))
          & sdtpldt0(X1,X2) = X0 )
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & X0 != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).

fof(f45,axiom,
    ! [X0] :
      ( ( ( ? [X1,X2] :
              ( aElementOf0(X1,slsdtgt0(xa))
              & aElementOf0(X2,slsdtgt0(xb))
              & sdtpldt0(X1,X2) = X0 )
          | aElementOf0(X0,xI) )
        & X0 != sz00 )
     => ? [X1] :
          ( ? [X2,X3] :
              ( aElementOf0(X2,slsdtgt0(xa))
              & aElementOf0(X3,slsdtgt0(xb))
              & sdtpldt0(X2,X3) = X1 )
          & aElementOf0(X1,xI)
          & X1 != sz00
          & ! [X2] :
              ( ( ( ? [X3,X4] :
                      ( aElementOf0(X3,slsdtgt0(xa))
                      & aElementOf0(X4,slsdtgt0(xb))
                      & sdtpldt0(X3,X4) = X2 )
                  | aElementOf0(X2,xI) )
                & X2 != sz00 )
             => ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2351) ).

fof(f46,conjecture,
    ? [X0] :
      ( ( ? [X1,X2] :
            ( aElementOf0(X1,slsdtgt0(xa))
            & aElementOf0(X2,slsdtgt0(xb))
            & sdtpldt0(X1,X2) = X0 )
        | aElementOf0(X0,xI) )
      & X0 != sz00
      & ! [X1] :
          ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            & aElementOf0(X1,xI)
            & X1 != sz00 )
         => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f47,negated_conjecture,
    ~ ? [X0] :
        ( ( ? [X1,X2] :
              ( aElementOf0(X1,slsdtgt0(xa))
              & aElementOf0(X2,slsdtgt0(xb))
              & sdtpldt0(X1,X2) = X0 )
          | aElementOf0(X0,xI) )
        & X0 != sz00
        & ! [X1] :
            ( ( ? [X2,X3] :
                  ( aElementOf0(X2,slsdtgt0(xa))
                  & aElementOf0(X3,slsdtgt0(xb))
                  & sdtpldt0(X2,X3) = X1 )
              & aElementOf0(X1,xI)
              & X1 != sz00 )
           => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f54,plain,
    ? [X0] :
      ( ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xa))
        <=> ? [X2] :
              ( aElement0(X2)
              & sdtasdt0(xa,X2) = X1 ) )
      & ! [X3] :
          ( aElementOf0(X3,slsdtgt0(xb))
        <=> ? [X4] :
              ( aElement0(X4)
              & sdtasdt0(xb,X4) = X3 ) )
      & ? [X5,X6] :
          ( aElementOf0(X5,slsdtgt0(xa))
          & aElementOf0(X6,slsdtgt0(xb))
          & sdtpldt0(X5,X6) = X0 )
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & X0 != sz00 ),
    inference(rectify,[],[f44]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ( ? [X1,X2] :
              ( aElementOf0(X1,slsdtgt0(xa))
              & aElementOf0(X2,slsdtgt0(xb))
              & sdtpldt0(X1,X2) = X0 )
          | aElementOf0(X0,xI) )
        & X0 != sz00 )
     => ? [X3] :
          ( ? [X4,X5] :
              ( aElementOf0(X4,slsdtgt0(xa))
              & aElementOf0(X5,slsdtgt0(xb))
              & sdtpldt0(X4,X5) = X3 )
          & aElementOf0(X3,xI)
          & sz00 != X3
          & ! [X6] :
              ( ( ( ? [X7,X8] :
                      ( aElementOf0(X7,slsdtgt0(xa))
                      & aElementOf0(X8,slsdtgt0(xb))
                      & sdtpldt0(X7,X8) = X6 )
                  | aElementOf0(X6,xI) )
                & sz00 != X6 )
             => ~ iLess0(sbrdtbr0(X6),sbrdtbr0(X3)) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f56,plain,
    ~ ? [X0] :
        ( ( ? [X1,X2] :
              ( aElementOf0(X1,slsdtgt0(xa))
              & aElementOf0(X2,slsdtgt0(xb))
              & sdtpldt0(X1,X2) = X0 )
          | aElementOf0(X0,xI) )
        & X0 != sz00
        & ! [X3] :
            ( ( ? [X4,X5] :
                  ( aElementOf0(X4,slsdtgt0(xa))
                  & aElementOf0(X5,slsdtgt0(xb))
                  & sdtpldt0(X4,X5) = X3 )
              & aElementOf0(X3,xI)
              & sz00 != X3 )
           => ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0)) ) ),
    inference(rectify,[],[f47]) ).

fof(f116,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4,X5] :
              ( aElementOf0(X4,slsdtgt0(xa))
              & aElementOf0(X5,slsdtgt0(xb))
              & sdtpldt0(X4,X5) = X3 )
          & aElementOf0(X3,xI)
          & sz00 != X3
          & ! [X6] :
              ( ~ iLess0(sbrdtbr0(X6),sbrdtbr0(X3))
              | ( ! [X7,X8] :
                    ( ~ aElementOf0(X7,slsdtgt0(xa))
                    | ~ aElementOf0(X8,slsdtgt0(xb))
                    | sdtpldt0(X7,X8) != X6 )
                & ~ aElementOf0(X6,xI) )
              | sz00 = X6 ) )
      | ( ! [X1,X2] :
            ( ~ aElementOf0(X1,slsdtgt0(xa))
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | sdtpldt0(X1,X2) != X0 )
        & ~ aElementOf0(X0,xI) )
      | sz00 = X0 ),
    inference(ennf_transformation,[],[f55]) ).

fof(f117,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4,X5] :
              ( aElementOf0(X4,slsdtgt0(xa))
              & aElementOf0(X5,slsdtgt0(xb))
              & sdtpldt0(X4,X5) = X3 )
          & aElementOf0(X3,xI)
          & sz00 != X3
          & ! [X6] :
              ( ~ iLess0(sbrdtbr0(X6),sbrdtbr0(X3))
              | ( ! [X7,X8] :
                    ( ~ aElementOf0(X7,slsdtgt0(xa))
                    | ~ aElementOf0(X8,slsdtgt0(xb))
                    | sdtpldt0(X7,X8) != X6 )
                & ~ aElementOf0(X6,xI) )
              | sz00 = X6 ) )
      | ( ! [X1,X2] :
            ( ~ aElementOf0(X1,slsdtgt0(xa))
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | sdtpldt0(X1,X2) != X0 )
        & ~ aElementOf0(X0,xI) )
      | sz00 = X0 ),
    inference(flattening,[],[f116]) ).

fof(f118,plain,
    ! [X0] :
      ( ( ! [X1,X2] :
            ( ~ aElementOf0(X1,slsdtgt0(xa))
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | sdtpldt0(X1,X2) != X0 )
        & ~ aElementOf0(X0,xI) )
      | sz00 = X0
      | ? [X3] :
          ( iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
          & ? [X4,X5] :
              ( aElementOf0(X4,slsdtgt0(xa))
              & aElementOf0(X5,slsdtgt0(xb))
              & sdtpldt0(X4,X5) = X3 )
          & aElementOf0(X3,xI)
          & sz00 != X3 ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f119,plain,
    ! [X0] :
      ( ( ! [X1,X2] :
            ( ~ aElementOf0(X1,slsdtgt0(xa))
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | sdtpldt0(X1,X2) != X0 )
        & ~ aElementOf0(X0,xI) )
      | sz00 = X0
      | ? [X3] :
          ( iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
          & ? [X4,X5] :
              ( aElementOf0(X4,slsdtgt0(xa))
              & aElementOf0(X5,slsdtgt0(xb))
              & sdtpldt0(X4,X5) = X3 )
          & aElementOf0(X3,xI)
          & sz00 != X3 ) ),
    inference(flattening,[],[f118]) ).

fof(f276,plain,
    sK32 = sdtpldt0(sK33,sK34),
    inference(cnf_transformation,[],[f54]) ).

fof(f277,plain,
    aElementOf0(sK34,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f54]) ).

fof(f278,plain,
    aElementOf0(sK33,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f54]) ).

fof(f279,plain,
    sz00 != sK32,
    inference(cnf_transformation,[],[f54]) ).

fof(f284,plain,
    ! [X0,X6] :
      ( sz00 = X0
      | ~ aElementOf0(X0,xI)
      | sz00 = X6
      | ~ aElementOf0(X6,xI)
      | ~ iLess0(sbrdtbr0(X6),sbrdtbr0(sK37)) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f293,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,xI)
      | sz00 != sK37 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f294,plain,
    ! [X0] :
      ( sz00 = X0
      | ~ aElementOf0(X0,xI)
      | aElementOf0(sK37,xI) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f302,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(sK40(X0),xI)
      | sz00 = X0
      | sdtpldt0(X1,X2) != X0
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f303,plain,
    ! [X2,X0,X1] :
      ( sz00 != sK40(X0)
      | sz00 = X0
      | sdtpldt0(X1,X2) != X0
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f304,plain,
    ! [X0] :
      ( sz00 != sK40(X0)
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f305,plain,
    ! [X0] :
      ( aElementOf0(sK40(X0),xI)
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f306,plain,
    ! [X0] :
      ( iLess0(sbrdtbr0(sK40(X0)),sbrdtbr0(X0))
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f337,plain,
    ! [X2,X1] :
      ( sz00 != sK40(sdtpldt0(X1,X2))
      | sz00 = sdtpldt0(X1,X2)
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(equality_resolution,[],[f303]) ).

fof(f338,plain,
    ! [X2,X1] :
      ( aElementOf0(sK40(sdtpldt0(X1,X2)),xI)
      | sz00 = sdtpldt0(X1,X2)
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(equality_resolution,[],[f302]) ).

fof(f419,plain,
    ~ aElementOf0(sK33,slsdtgt0(xa)),
    inference(consistent_polarity_flipping,[],[f278]) ).

fof(f420,plain,
    ~ aElementOf0(sK34,slsdtgt0(xb)),
    inference(consistent_polarity_flipping,[],[f277]) ).

fof(f427,plain,
    ! [X0] :
      ( sz00 = X0
      | aElementOf0(X0,xI)
      | ~ aElementOf0(sK37,xI) ),
    inference(consistent_polarity_flipping,[],[f294]) ).

fof(f428,plain,
    ! [X0] :
      ( sz00 = X0
      | aElementOf0(X0,xI)
      | sz00 != sK37 ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f437,plain,
    ! [X0,X6] :
      ( sz00 = X0
      | aElementOf0(X0,xI)
      | sz00 = X6
      | aElementOf0(X6,xI)
      | ~ iLess0(sbrdtbr0(X6),sbrdtbr0(sK37)) ),
    inference(consistent_polarity_flipping,[],[f284]) ).

fof(f441,plain,
    ! [X0] :
      ( iLess0(sbrdtbr0(sK40(X0)),sbrdtbr0(X0))
      | sz00 = X0
      | aElementOf0(X0,xI) ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f442,plain,
    ! [X0] :
      ( ~ aElementOf0(sK40(X0),xI)
      | sz00 = X0
      | aElementOf0(X0,xI) ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f443,plain,
    ! [X0] :
      ( sz00 != sK40(X0)
      | sz00 = X0
      | aElementOf0(X0,xI) ),
    inference(consistent_polarity_flipping,[],[f304]) ).

fof(f444,plain,
    ! [X2,X1] :
      ( sz00 != sK40(sdtpldt0(X1,X2))
      | sz00 = sdtpldt0(X1,X2)
      | aElementOf0(X2,slsdtgt0(xb))
      | aElementOf0(X1,slsdtgt0(xa)) ),
    inference(consistent_polarity_flipping,[],[f337]) ).

fof(f445,plain,
    ! [X2,X1] :
      ( ~ aElementOf0(sK40(sdtpldt0(X1,X2)),xI)
      | sz00 = sdtpldt0(X1,X2)
      | aElementOf0(X2,slsdtgt0(xb))
      | aElementOf0(X1,slsdtgt0(xa)) ),
    inference(consistent_polarity_flipping,[],[f338]) ).

fof(f457,definition,
    ( spl43_2
  <=> ! [X0] :
        ( sz00 = X0
        | aElementOf0(X0,xI) ) ),
    introduced(definition,[new_symbols(definition,[spl43_2])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xI)
        | sz00 = X0 )
    | ~ spl43_2 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f465,definition,
    ( spl43_4
  <=> ! [X6] :
        ( sz00 = X6
        | ~ iLess0(sbrdtbr0(X6),sbrdtbr0(sK37))
        | aElementOf0(X6,xI) ) ),
    introduced(definition,[new_symbols(definition,[spl43_4])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X6] :
        ( ~ iLess0(sbrdtbr0(X6),sbrdtbr0(sK37))
        | sz00 = X6
        | aElementOf0(X6,xI) )
    | ~ spl43_4 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f468,plain,
    ( spl43_4
    | spl43_2 ),
    inference(avatar_split_clause,[],[f437,f457,f465]) ).

fof(f488,definition,
    ( spl43_8
  <=> aElementOf0(sK37,xI) ),
    introduced(definition,[new_symbols(definition,[spl43_8])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ aElementOf0(sK37,xI)
    | spl43_8 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f493,definition,
    ( spl43_9
  <=> sz00 = sK37 ),
    introduced(definition,[new_symbols(definition,[spl43_9])],[avatar_definition]) ).

fof(f495,plain,
    ( sz00 != sK37
    | spl43_9 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f497,plain,
    ( ~ spl43_9
    | spl43_2 ),
    inference(avatar_split_clause,[],[f428,f457,f493]) ).

fof(f498,plain,
    ( ~ spl43_8
    | spl43_2 ),
    inference(avatar_split_clause,[],[f427,f457,f488]) ).

fof(f612,plain,
    ( ~ aElementOf0(sK40(sK32),xI)
    | sz00 = sK32
    | aElementOf0(sK34,slsdtgt0(xb))
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(superposition,[],[f445,f276]) ).

fof(f613,plain,
    ( sz00 != sK40(sK32)
    | sz00 = sK32
    | aElementOf0(sK34,slsdtgt0(xb))
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(superposition,[],[f444,f276]) ).

fof(f614,plain,
    ( sz00 != sK40(sK32)
    | aElementOf0(sK34,slsdtgt0(xb))
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(forward_subsumption_resolution,[],[f613,f279]) ).

fof(f615,plain,
    ( ~ aElementOf0(sK40(sK32),xI)
    | aElementOf0(sK34,slsdtgt0(xb))
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(forward_subsumption_resolution,[],[f612,f279]) ).

fof(f619,plain,
    ( sz00 != sK40(sK32)
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(forward_subsumption_resolution,[],[f614,f420]) ).

fof(f620,plain,
    ( ~ aElementOf0(sK40(sK32),xI)
    | aElementOf0(sK33,slsdtgt0(xa)) ),
    inference(forward_subsumption_resolution,[],[f615,f420]) ).

fof(f624,plain,
    sz00 != sK40(sK32),
    inference(forward_subsumption_resolution,[],[f619,f419]) ).

fof(f625,plain,
    ~ aElementOf0(sK40(sK32),xI),
    inference(forward_subsumption_resolution,[],[f620,f419]) ).

fof(f670,plain,
    ( sz00 = sK40(sK32)
    | ~ spl43_2 ),
    inference(resolution,[],[f458,f625]) ).

fof(f671,plain,
    ( $false
    | ~ spl43_2 ),
    inference(forward_subsumption_resolution,[],[f670,f624]) ).

fof(f672,plain,
    ~ spl43_2,
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f1407,plain,
    ( sz00 = sK40(sK37)
    | aElementOf0(sK40(sK37),xI)
    | sz00 = sK37
    | aElementOf0(sK37,xI)
    | ~ spl43_4 ),
    inference(resolution,[],[f466,f441]) ).

fof(f1410,plain,
    ( aElementOf0(sK40(sK37),xI)
    | sz00 = sK37
    | aElementOf0(sK37,xI)
    | ~ spl43_4 ),
    inference(forward_subsumption_resolution,[],[f1407,f443]) ).

fof(f1413,plain,
    ( sz00 = sK37
    | aElementOf0(sK37,xI)
    | ~ spl43_4 ),
    inference(forward_subsumption_resolution,[],[f1410,f442]) ).

fof(f1414,plain,
    ( aElementOf0(sK37,xI)
    | ~ spl43_4
    | spl43_9 ),
    inference(forward_subsumption_resolution,[],[f1413,f495]) ).

fof(f1415,plain,
    ( $false
    | ~ spl43_4
    | spl43_8
    | spl43_9 ),
    inference(forward_subsumption_resolution,[],[f1414,f490]) ).

fof(f1416,plain,
    ( ~ spl43_4
    | spl43_8
    | spl43_9 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

cnf(s4,plain,
    ( spl43_2
    | spl43_4 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s13,plain,
    ( spl43_2
    | ~ spl43_9 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s14,plain,
    ( spl43_2
    | ~ spl43_8 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s26,plain,
    ~ spl43_2,
    inference(sat_conversion,[],[f672]) ).

cnf(s56,plain,
    ( ~ spl43_4
    | spl43_8
    | spl43_9 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s57,plain,
    ~ spl43_8,
    inference(rat,[],[s14,s26]) ).

cnf(s58,plain,
    ~ spl43_9,
    inference(rat,[],[s13,s26]) ).

cnf(s62,plain,
    ~ spl43_4,
    inference(rat,[],[s56,s57,s58]) ).

cnf(s66,plain,
    $false,
    inference(rat,[],[s4,s62,s26]) ).

fof(f1417,plain,
    $false,
    inference(avatar_sat_refutation,[],[s66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG112+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n011.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 23:19:45 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 0.18/0.47  % (2873373)Will run a generic schedule for satisfiability detection.
% 0.18/0.47  % (2873379)% WARNING: option uhcvi not known.
% 0.18/0.47  % (2873379)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3159916884:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47  % (2873378)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2359333620_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47  % (2873380)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4015248533:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47  % (2873383)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2133780668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47  % (2873381)dis+10_1_sil=32000:sp=arity:random_seed=3317995259:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47  % (2873384)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3054448256:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47  % (2873382)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2289912120:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47  % (2873379) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2873373-2873379"...
% 0.18/0.47  % (2873379)...printing done.
% 0.18/0.47  % (2873379)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (2873379)------------------------------
% 0.18/0.47  % (2873379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47  % (2873379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47  % (2873379)CaDiCaL version: 2.1.3
% 0.18/0.47  % (2873379)Termination reason: Refutation
% 0.18/0.47  % (2873379)Time elapsed: 0.015 s
% 0.18/0.47  % (2873379)Peak memory usage: 13 MB
% 0.18/0.47  % (2873379)Instructions burned: 40 (million)
% 0.18/0.47  % (2873373)Success in time 0.045 s
% 0.18/0.47  % Vampire exiting
%------------------------------------------------------------------------------