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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : RNG080+2 : 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 : n015.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 12:35:26 PM UTC 2026

% Result   : Theorem 2.62s 1.31s
% Output   : Refutation 3.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  135 (  41 unt;   4 def)
%            Number of atoms       :  294 ( 136 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  260 ( 101   ~; 125   |;  25   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( aNaturalNumber0(szszuzczcdt0(X0))
        & szszuzczcdt0(X0) != sz00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).

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

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aVector0(X0)
        & aVector0(X1) )
     => ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
          & aDimensionOf0(X1) != sz00 )
       => sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).

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

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

fof(f42,axiom,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
    & xp = sziznziztdt0(xs) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).

fof(f43,axiom,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
    & xq = sziznziztdt0(xt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).

fof(f44,axiom,
    ( aScalar0(xA)
    & xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).

fof(f45,axiom,
    ( aScalar0(xB)
    & xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).

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

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

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

fof(f49,axiom,
    ( aScalar0(xF)
    & xF = sdtasdt0(xA,xA) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

fof(f50,axiom,
    ( aScalar0(xG)
    & xG = sdtasdt0(xB,xB) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).

fof(f51,axiom,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).

fof(f58,axiom,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2733) ).

fof(f59,conjecture,
    sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f60,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(negated_conjecture,[status(cth)],[f59]) ).

fof(f61,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(flattening,[],[f60]) ).

fof(f69,plain,
    ( aVector0(xp)
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & ! [X0] :
        ( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
        | ~ aNaturalNumber0(X0) )
    & xp = sziznziztdt0(xs) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f70,plain,
    ( aVector0(xq)
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & ! [X0] :
        ( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
        | ~ aNaturalNumber0(X0) )
    & xq = sziznziztdt0(xt) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f85,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f90,plain,
    ! [X0] :
      ( ( aNaturalNumber0(szszuzczcdt0(X0))
        & szszuzczcdt0(X0) != sz00 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(flattening,[],[f93]) ).

fof(f114,plain,
    aVector0(xt),
    inference(cnf_transformation,[],[f38]) ).

fof(f115,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f38]) ).

fof(f117,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[],[f40]) ).

fof(f119,plain,
    xp = sziznziztdt0(xs),
    inference(cnf_transformation,[],[f69]) ).

fof(f120,plain,
    ! [X0] :
      ( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f121,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
    inference(cnf_transformation,[],[f69]) ).

fof(f122,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f69]) ).

fof(f123,plain,
    xq = sziznziztdt0(xt),
    inference(cnf_transformation,[],[f70]) ).

fof(f124,plain,
    ! [X0] :
      ( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f125,plain,
    aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(cnf_transformation,[],[f70]) ).

fof(f127,plain,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    inference(cnf_transformation,[],[f44]) ).

fof(f129,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
    inference(cnf_transformation,[],[f45]) ).

fof(f131,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f133,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f135,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[],[f48]) ).

fof(f137,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f139,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f141,plain,
    xH = sdtasdt0(xA,xB),
    inference(cnf_transformation,[],[f51]) ).

fof(f153,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(cnf_transformation,[],[f58]) ).

fof(f154,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cnf_transformation,[],[f61]) ).

fof(f164,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f168,plain,
    ! [X0] :
      ( sz00 != szszuzczcdt0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
      | sz00 = aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f191,definition,
    ~ sP4(sz00),
    introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).

fof(f192,plain,
    ! [X0] :
      ( sP4(szszuzczcdt0(X0))
      | ~ aNaturalNumber0(X0) ),
    inference(inequality_splitting,[],[f168,f191]) ).

fof(f201,plain,
    aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(forward_demodulation,[],[f117,f125]) ).

fof(f203,plain,
    szszuzczcdt0(aDimensionOf0(xp)) = szszuzczcdt0(aDimensionOf0(xq)),
    inference(forward_demodulation,[],[f201,f121]) ).

fof(f313,plain,
    ( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xp)))
    | ~ aVector0(xs) ),
    inference(superposition,[],[f164,f121]) ).

fof(f315,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
      | sz00 = szszuzczcdt0(aDimensionOf0(xp))
      | ~ aVector0(X0)
      | ~ aVector0(xs) ),
    inference(superposition,[],[f171,f121]) ).

fof(f330,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
      | sz00 = szszuzczcdt0(aDimensionOf0(xp))
      | ~ aVector0(X0) ),
    inference(forward_subsumption_resolution,[],[f315,f115]) ).

fof(f332,plain,
    aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xp))),
    inference(forward_subsumption_resolution,[],[f313,f115]) ).

fof(f348,plain,
    ! [X0] :
      ( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
      | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sz00 = szszuzczcdt0(aDimensionOf0(xp))
      | ~ aVector0(X0) ),
    inference(forward_demodulation,[],[f330,f119]) ).

fof(f352,definition,
    ( spl7_8
  <=> sz00 = szszuzczcdt0(aDimensionOf0(xp)) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

fof(f353,plain,
    ( sz00 != szszuzczcdt0(aDimensionOf0(xp))
    | spl7_8 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f354,plain,
    ( sz00 = szszuzczcdt0(aDimensionOf0(xp))
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f364,definition,
    ( spl7_11
  <=> ! [X0] :
        ( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
        | ~ aVector0(X0)
        | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp)) ) ),
    introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X0] :
        ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
        | ~ aVector0(X0)
        | sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))))) )
    | ~ spl7_11 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl7_8
    | spl7_11 ),
    inference(avatar_split_clause,[],[f348,f364,f352]) ).

fof(f373,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xq))
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq)))))
      | sz00 = szszuzczcdt0(aDimensionOf0(xq))
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(superposition,[],[f171,f125]) ).

fof(f388,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xq))
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq)))))
      | sz00 = szszuzczcdt0(aDimensionOf0(xq))
      | ~ aVector0(X0) ),
    inference(forward_subsumption_resolution,[],[f373,f114]) ).

fof(f401,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq)))))
      | sz00 = szszuzczcdt0(aDimensionOf0(xq))
      | ~ aVector0(X0) ),
    inference(forward_demodulation,[],[f388,f203]) ).

fof(f427,plain,
    xA = sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),
    inference(superposition,[],[f127,f121]) ).

fof(f438,plain,
    ( sP4(sz00)
    | ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ spl7_8 ),
    inference(superposition,[],[f192,f354]) ).

fof(f444,definition,
    ( spl7_12
  <=> aNaturalNumber0(aDimensionOf0(xp)) ),
    introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).

fof(f446,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | spl7_12 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f457,plain,
    ( ~ aNaturalNumber0(aDimensionOf0(xp))
    | ~ spl7_8 ),
    inference(forward_subsumption_resolution,[],[f438,f191]) ).

fof(f462,plain,
    ( ~ spl7_12
    | ~ spl7_8 ),
    inference(avatar_split_clause,[],[f457,f352,f444]) ).

fof(f468,plain,
    ! [X0] :
      ( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
      | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sz00 = szszuzczcdt0(aDimensionOf0(xq))
      | ~ aVector0(X0) ),
    inference(forward_demodulation,[],[f401,f203]) ).

fof(f474,plain,
    ! [X0] :
      ( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
      | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | sz00 = szszuzczcdt0(aDimensionOf0(xq))
      | ~ aVector0(X0) ),
    inference(forward_demodulation,[],[f468,f123]) ).

fof(f479,plain,
    ! [X0] :
      ( sz00 = szszuzczcdt0(aDimensionOf0(xp))
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
      | aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
      | ~ aVector0(X0) ),
    inference(forward_demodulation,[],[f474,f203]) ).

fof(f480,plain,
    ( ! [X0] :
        ( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xp))
        | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
        | ~ aVector0(X0) )
    | spl7_8 ),
    inference(forward_subsumption_resolution,[],[f479,f353]) ).

fof(f481,plain,
    xB = sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),
    inference(superposition,[],[f129,f125]) ).

fof(f485,plain,
    xB = sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp))),
    inference(forward_demodulation,[],[f481,f203]) ).

fof(f582,plain,
    ( xA = sdtlbdtrb0(xp,aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(xs)) ),
    inference(superposition,[],[f127,f120]) ).

fof(f590,plain,
    ( xA = sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp)))
    | ~ aNaturalNumber0(aDimensionOf0(xs)) ),
    inference(forward_demodulation,[],[f582,f121]) ).

fof(f594,plain,
    ( ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xp)))
    | xA = sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp))) ),
    inference(forward_demodulation,[],[f590,f121]) ).

fof(f598,plain,
    xA = sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp))),
    inference(forward_subsumption_resolution,[],[f594,f332]) ).

fof(f605,plain,
    ( xB = sdtlbdtrb0(xq,aDimensionOf0(xt))
    | ~ aNaturalNumber0(aDimensionOf0(xt)) ),
    inference(superposition,[],[f129,f124]) ).

fof(f613,plain,
    ( xB = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xq)))
    | ~ aNaturalNumber0(aDimensionOf0(xt)) ),
    inference(forward_demodulation,[],[f605,f125]) ).

fof(f617,plain,
    ( xB = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))
    | ~ aNaturalNumber0(aDimensionOf0(xt)) ),
    inference(forward_demodulation,[],[f613,f203]) ).

fof(f621,plain,
    ( ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xq)))
    | xB = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp))) ),
    inference(forward_demodulation,[],[f617,f125]) ).

fof(f625,plain,
    ( ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xp)))
    | xB = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp))) ),
    inference(forward_demodulation,[],[f621,f203]) ).

fof(f628,plain,
    xB = sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp))),
    inference(forward_subsumption_resolution,[],[f625,f332]) ).

fof(f803,plain,
    xH = sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp))),xB),
    inference(superposition,[],[f141,f598]) ).

fof(f806,plain,
    xH = sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))),
    inference(forward_demodulation,[],[f803,f628]) ).

fof(f812,plain,
    xG = sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))),
    inference(superposition,[],[f139,f628]) ).

fof(f2104,plain,
    ( szszuzczcdt0(aDimensionOf0(xp)) != szszuzczcdt0(aDimensionOf0(xp))
    | ~ aVector0(xs)
    | sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xp),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ spl7_11 ),
    inference(superposition,[],[f365,f121]) ).

fof(f2107,plain,
    ( ~ aVector0(xs)
    | sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xp),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ spl7_11 ),
    inference(trivial_inequality_removal,[],[f2104]) ).

fof(f2110,plain,
    ( sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xp),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ spl7_11 ),
    inference(forward_subsumption_resolution,[],[f2107,f115]) ).

fof(f2112,plain,
    ( sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xp),sdtasdt0(xA,xA))
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f2110,f427]) ).

fof(f2114,plain,
    ( sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xp),xF)
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f2112,f137]) ).

fof(f2116,plain,
    ( sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(xp,xp),xF)
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f2114,f119]) ).

fof(f2118,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f2116,f131]) ).

fof(f2143,plain,
    ( szszuzczcdt0(aDimensionOf0(xp)) != szszuzczcdt0(aDimensionOf0(xp))
    | sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ aVector0(xs)
    | spl7_8 ),
    inference(superposition,[],[f480,f121]) ).

fof(f2144,plain,
    ( szszuzczcdt0(aDimensionOf0(xp)) != szszuzczcdt0(aDimensionOf0(xq))
    | sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ aVector0(xt)
    | spl7_8 ),
    inference(superposition,[],[f480,f125]) ).

fof(f2146,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ aVector0(xs)
    | spl7_8 ),
    inference(trivial_inequality_removal,[],[f2143]) ).

fof(f2148,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | ~ aVector0(xt)
    | spl7_8 ),
    inference(forward_subsumption_resolution,[],[f2144,f203]) ).

fof(f2149,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_subsumption_resolution,[],[f2146,f115]) ).

fof(f2150,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_subsumption_resolution,[],[f2148,f114]) ).

fof(f2151,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),xB))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2149,f485]) ).

fof(f2152,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),xB))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2150,f485]) ).

fof(f2153,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2151,f628]) ).

fof(f2154,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xq))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2152,f628]) ).

fof(f2318,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(xA,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2153,f427]) ).

fof(f2319,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2154,f203]) ).

fof(f2329,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xp,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2318,f598]) ).

fof(f2330,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(xB,sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2319,f485]) ).

fof(f2333,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),xH)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2329,f806]) ).

fof(f2334,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp))),sdtlbdtrb0(xq,szszuzczcdt0(aDimensionOf0(xp)))))
    | spl7_8 ),
    inference(forward_demodulation,[],[f2330,f628]) ).

fof(f2335,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(xp,xq),xH)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2333,f119]) ).

fof(f2336,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),xG)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2334,f812]) ).

fof(f2337,plain,
    ( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2335,f135]) ).

fof(f2338,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,xq),xG)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2336,f123]) ).

fof(f2339,plain,
    ( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
    | spl7_8 ),
    inference(forward_demodulation,[],[f2338,f133]) ).

fof(f2410,plain,
    ( ~ aVector0(xp)
    | spl7_12 ),
    inference(resolution,[],[f446,f164]) ).

fof(f2412,plain,
    ( $false
    | spl7_12 ),
    inference(forward_subsumption_resolution,[],[f2410,f122]) ).

fof(f2413,plain,
    spl7_12,
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2991,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt)))
    | ~ spl7_11 ),
    inference(superposition,[],[f154,f2118]) ).

fof(f3043,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
    | spl7_8
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f2991,f2339]) ).

fof(f3052,plain,
    ( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
    | spl7_8
    | ~ spl7_11 ),
    inference(forward_demodulation,[],[f3043,f2337]) ).

fof(f3055,plain,
    ( $false
    | spl7_8
    | ~ spl7_11 ),
    inference(forward_subsumption_resolution,[],[f3052,f153]) ).

fof(f3056,plain,
    ( spl7_8
    | ~ spl7_11 ),
    inference(avatar_contradiction_clause,[],[f3055]) ).

cnf(s6,plain,
    ( spl7_8
    | spl7_11 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s12,plain,
    ( ~ spl7_8
    | ~ spl7_12 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s75,plain,
    spl7_12,
    inference(sat_conversion,[],[f2413]) ).

cnf(s110,plain,
    ( spl7_8
    | ~ spl7_11 ),
    inference(sat_conversion,[],[f3056]) ).

cnf(s138,plain,
    ~ spl7_8,
    inference(rat,[],[s12,s75]) ).

cnf(s139,plain,
    ~ spl7_11,
    inference(rat,[],[s110,s138]) ).

cnf(s140,plain,
    $false,
    inference(rat,[],[s6,s139,s138]) ).

fof(f3057,plain,
    $false,
    inference(avatar_sat_refutation,[],[s140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG080+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n015.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
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 23:12:16 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.31  % (2119483)Detected formulas, will run a generic FOF schedule.
% 2.62/1.31  % (2119492)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1241974651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/1.31  % (2119491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2121277062:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/1.31  % (2119490)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=771558088:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/1.31  % (2119489)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=504030378:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/1.31  % (2119488)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=3128988286:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/1.31  % (2119492)Instruction limit reached! 
% 2.62/1.31  % (2119492)------------------------------
% 2.62/1.31  % (2119492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.31  % (2119492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.31  % (2119492)CaDiCaL version: 2.1.3
% 2.62/1.31  % (2119492)Termination reason: Instruction limit
% 2.62/1.31  % (2119492)Termination phase: Saturation
% 2.62/1.31  % (2119492)Time elapsed: 0.035 s
% 2.62/1.31  % (2119492)Peak memory usage: 88 MB
% 2.62/1.31  % (2119492)Instructions burned: 122 (million)
% 2.62/1.31  % (2119494)dis-21_1_sil=8000:lcm=predicate:random_seed=3275527250:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.62/1.31  % (2119493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2743833653:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/1.31  % (2119491)First to succeed.
% 2.62/1.31  % (2119491)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2119483"
% 2.62/1.31  % (2119494)Instruction limit reached! 
% 2.62/1.31  % (2119494)------------------------------
% 2.62/1.31  % (2119494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.31  % (2119494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.31  % (2119494)CaDiCaL version: 2.1.3
% 2.62/1.31  % (2119494)Termination reason: Instruction limit
% 2.62/1.31  % (2119494)Termination phase: Saturation
% 2.62/1.31  % (2119494)Time elapsed: 0.067 s
% 2.62/1.31  % (2119494)Peak memory usage: 89 MB
% 2.62/1.31  % (2119494)Instructions burned: 130 (million)
% 2.62/1.31  % (2119500)lrs+10_1_sil=8000:sp=occurrence:random_seed=4173641307:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.62/1.31  % (2119493)Instruction limit reached! 
% 2.62/1.31  % (2119493)------------------------------
% 2.62/1.31  % (2119493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.31  % (2119493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.31  % (2119493)CaDiCaL version: 2.1.3
% 2.62/1.31  % (2119493)Termination reason: Instruction limit
% 2.62/1.31  % (2119493)Termination phase: Saturation
% 2.62/1.31  % (2119493)Time elapsed: 0.089 s
% 2.62/1.31  % (2119493)Peak memory usage: 90 MB
% 2.62/1.31  % (2119493)Instructions burned: 139 (million)
% 2.62/1.31  % (2119500)Instruction limit reached! 
% 2.62/1.31  % (2119500)------------------------------
% 2.62/1.31  % (2119500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.31  % (2119500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.31  % (2119500)CaDiCaL version: 2.1.3
% 2.62/1.31  % (2119500)Termination reason: Instruction limit
% 2.62/1.31  % (2119500)Termination phase: Saturation
% 2.62/1.31  % (2119500)Time elapsed: 0.093 s
% 2.62/1.31  % (2119500)Peak memory usage: 93 MB
% 2.62/1.31  % (2119500)Instructions burned: 286 (million)
% 2.62/1.31  % (2119503)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1442870070:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.62/1.31  % (2119505)lrs+1011_1_sil=32000:sp=occurrence:random_seed=912104254:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.62/1.31  % (2119506)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=490759551:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.62/1.31  % (2119503)Instruction limit reached! 
% 2.62/1.31  % (2119503)------------------------------
% 2.62/1.31  % (2119503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.31  % (2119503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.31  % (2119503)CaDiCaL version: 2.1.3
% 2.62/1.31  % (2119503)Termination reason: Instruction limit
% 2.62/1.31  % (2119503)Termination phase: Saturation
% 2.62/1.31  % (2119503)Time elapsed: 0.075 s
% 2.62/1.31  % (2119503)Peak memory usage: 90 MB
% 2.62/1.31  % (2119503)Instructions burned: 158 (million)
% 2.62/1.31  % (2119491)Refutation found. Thanks to Tanya!
% 2.62/1.31  % SZS status Theorem for theBenchmark
% 2.62/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.50  % (2119491)------------------------------
% 3.72/1.50  % (2119491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.50  % (2119491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.50  % (2119491)CaDiCaL version: 2.1.3
% 3.72/1.50  % (2119491)Termination reason: Refutation
% 3.72/1.50  % (2119491)Time elapsed: 0.057 s
% 3.72/1.50  % (2119491)Peak memory usage: 90 MB
% 3.72/1.50  % (2119491)Instructions burned: 89 (million)
% 3.72/1.50  % (2119491)------------------------------
% 3.72/1.50  % (2119491)------------------------------
% 3.72/1.50  % (2119483)Success in time 0.45 s
% 3.72/1.50  % Vampire exiting
%------------------------------------------------------------------------------