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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : RNG075+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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:35:24 PM UTC 2026

% Result   : Theorem 34.26s 5.78s
% Output   : Refutation 35.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  287 (  66 unt;  14 def)
%            Number of atoms       :  885 (  91 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives : 1129 ( 531   ~; 510   |;  58   &)
%                                         (   9 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  218 (   0 sgn 218   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( sdtpldt0(X0,sz0z00) = X0
        & sdtpldt0(sz0z00,X0) = X0
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & smndt0(sz0z00) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
        & sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X1,X0) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X0)
        & aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X0)
        & aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(sz0z00,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtlseqdt0(X0,X1)
        | sdtlseqdt0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( ( sdtlseqdt0(sz0z00,X0)
          & sdtlseqdt0(sz0z00,X1) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
          & sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).

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

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aVector0(X0)
        & aNaturalNumber0(X1) )
     => aScalar0(sdtlbdtrb0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).

fof(f37,axiom,
    ! [X0] :
      ( aVector0(X0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).

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,conjecture,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f59,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f60,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(flattening,[],[f59]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f73]) ).

fof(f75,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f76,plain,
    ! [X0] :
      ( ( sdtpldt0(X0,sz0z00) = X0
        & sdtpldt0(sz0z00,X0) = X0
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & smndt0(sz0z00) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
        & sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
        & sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f83]) ).

fof(f89,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f90]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(flattening,[],[f94]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(flattening,[],[f96]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f100]) ).

fof(f102,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f106,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aVector0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aVector0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f107]) ).

fof(f119,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f122,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(f123,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(f131,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f134,plain,
    ! [X0] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f136,plain,
    ! [X0] :
      ( smndt0(smndt0(X0)) = X0
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f137,plain,
    ! [X0] :
      ( sz0z00 = sdtpldt0(smndt0(X0),X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f138,plain,
    ! [X0] :
      ( sz0z00 = sdtpldt0(X0,smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f140,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f142,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz0z00) = X0
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f153,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f157,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f161,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f163,plain,
    ! [X0] :
      ( aNaturalNumber0(aDimensionOf0(X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( aScalar0(sdtlbdtrb0(X0,X1))
      | ~ aVector0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f174,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f183,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f122]) ).

fof(f187,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f123]) ).

fof(f189,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

fof(f191,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f192,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f193,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f194,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f195,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f197,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f198,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f199,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f200,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f201,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f203,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f214,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(cnf_transformation,[],[f60]) ).

fof(f218,definition,
    sF2 = sdtpldt0(xE,xH),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f219,plain,
    sdtpldt0(xE,xH) = sF2,
    inference(reorient_equations,[],[f218]) ).

fof(f220,definition,
    sF3 = sdtasdt0(sF2,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f221,plain,
    sdtasdt0(sF2,sF2) = sF3,
    inference(reorient_equations,[],[f220]) ).

fof(f222,definition,
    sF4 = sdtpldt0(xC,xF),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f223,plain,
    sdtpldt0(xC,xF) = sF4,
    inference(reorient_equations,[],[f222]) ).

fof(f224,definition,
    sF5 = sdtpldt0(xD,xG),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f225,plain,
    sdtpldt0(xD,xG) = sF5,
    inference(reorient_equations,[],[f224]) ).

fof(f226,definition,
    sF6 = sdtasdt0(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f227,plain,
    sdtasdt0(sF4,sF5) = sF6,
    inference(reorient_equations,[],[f226]) ).

fof(f228,plain,
    ~ sdtlseqdt0(sF3,sF6),
    inference(definition_folding,[],[f214,f227,f225,f223,f221,f219,f219]) ).

fof(f231,plain,
    ( aScalar0(sF6)
    | ~ aScalar0(sF4)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f133,f227]) ).

fof(f232,plain,
    ( aScalar0(sF2)
    | ~ aScalar0(xE)
    | ~ aScalar0(xH) ),
    inference(superposition,[],[f132,f219]) ).

fof(f233,plain,
    ( aScalar0(sF2)
    | ~ aScalar0(xH) ),
    inference(forward_subsumption_resolution,[],[f232,f197]) ).

fof(f234,plain,
    aScalar0(sF2),
    inference(forward_subsumption_resolution,[],[f233,f203]) ).

fof(f236,plain,
    ( aScalar0(sF4)
    | ~ aScalar0(xC)
    | ~ aScalar0(xF) ),
    inference(superposition,[],[f132,f223]) ).

fof(f237,plain,
    ( aScalar0(sF4)
    | ~ aScalar0(xF) ),
    inference(forward_subsumption_resolution,[],[f236,f193]) ).

fof(f238,plain,
    aScalar0(sF4),
    inference(forward_subsumption_resolution,[],[f237,f199]) ).

fof(f239,plain,
    ( aScalar0(sF6)
    | ~ aScalar0(sF5) ),
    inference(backward_subsumption_resolution,[],[f231,f238]) ).

fof(f240,plain,
    ( aScalar0(sF5)
    | ~ aScalar0(xD)
    | ~ aScalar0(xG) ),
    inference(superposition,[],[f132,f225]) ).

fof(f241,plain,
    ( aScalar0(sF5)
    | ~ aScalar0(xG) ),
    inference(forward_subsumption_resolution,[],[f240,f195]) ).

fof(f242,plain,
    aScalar0(sF5),
    inference(forward_subsumption_resolution,[],[f241,f201]) ).

fof(f243,plain,
    aScalar0(sF6),
    inference(backward_subsumption_resolution,[],[f239,f242]) ).

fof(f670,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[],[f161,f200]) ).

fof(f679,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(forward_subsumption_resolution,[],[f670,f191]) ).

fof(f868,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(superposition,[],[f161,f198]) ).

fof(f881,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(forward_subsumption_resolution,[],[f868,f189]) ).

fof(f922,plain,
    ( sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3)
    | ~ aScalar0(sF2)
    | ~ aScalar0(sF2) ),
    inference(superposition,[],[f151,f221]) ).

fof(f924,plain,
    ( sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3)
    | ~ aScalar0(sF2) ),
    inference(duplicate_literal_removal,[],[f922]) ).

fof(f931,plain,
    sdtasdt0(sF2,smndt0(sF2)) = smndt0(sF3),
    inference(forward_subsumption_resolution,[],[f924,f234]) ).

fof(f951,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X2) ),
    inference(superposition,[],[f156,f142]) ).

fof(f952,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,sdtpldt0(X2,X1))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(superposition,[],[f156,f142]) ).

fof(f954,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,sdtpldt0(X2,X1))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1) ),
    inference(duplicate_literal_removal,[],[f952]) ).

fof(f955,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(sz0z00) ),
    inference(duplicate_literal_removal,[],[f951]) ).

fof(f963,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,sdtpldt0(X2,X1))
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1) ),
    inference(forward_subsumption_resolution,[],[f954,f131]) ).

fof(f964,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,X2) ),
    inference(forward_subsumption_resolution,[],[f955,f131]) ).

fof(f1042,plain,
    ( sdtlseqdt0(sz0z00,sF4)
    | ~ aScalar0(xC)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xF) ),
    inference(superposition,[],[f160,f223]) ).

fof(f1043,plain,
    ( sdtlseqdt0(sz0z00,sF5)
    | ~ aScalar0(xD)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ aScalar0(xG) ),
    inference(superposition,[],[f160,f225]) ).

fof(f1050,plain,
    ( sdtlseqdt0(sz0z00,sF5)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ aScalar0(xG) ),
    inference(forward_subsumption_resolution,[],[f1043,f195]) ).

fof(f1051,plain,
    ( sdtlseqdt0(sz0z00,sF4)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xF) ),
    inference(forward_subsumption_resolution,[],[f1042,f193]) ).

fof(f1056,plain,
    ( sdtlseqdt0(sz0z00,sF5)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ aScalar0(xG) ),
    inference(forward_subsumption_resolution,[],[f1050,f679]) ).

fof(f1057,plain,
    ( sdtlseqdt0(sz0z00,sF4)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xF) ),
    inference(forward_subsumption_resolution,[],[f1051,f881]) ).

fof(f1060,plain,
    ( sdtlseqdt0(sz0z00,sF5)
    | ~ sdtlseqdt0(sz0z00,xD) ),
    inference(forward_subsumption_resolution,[],[f1056,f201]) ).

fof(f1061,plain,
    ( sdtlseqdt0(sz0z00,sF4)
    | ~ sdtlseqdt0(sz0z00,xC) ),
    inference(forward_subsumption_resolution,[],[f1057,f199]) ).

fof(f1076,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,sz0z00)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(superposition,[],[f157,f140]) ).

fof(f1090,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,sz0z00)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1) ),
    inference(duplicate_literal_removal,[],[f1076]) ).

fof(f1108,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
      | ~ aScalar0(X2)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,sz0z00)
      | ~ sdtlseqdt0(X0,X2)
      | ~ aScalar0(X1) ),
    inference(forward_subsumption_resolution,[],[f1090,f131]) ).

fof(f1158,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[],[f174,f192]) ).

fof(f1159,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(superposition,[],[f174,f194]) ).

fof(f1161,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(forward_subsumption_resolution,[],[f1158,f183]) ).

fof(f1166,plain,
    sdtlseqdt0(sz0z00,sF4),
    inference(backward_subsumption_resolution,[],[f1061,f1161]) ).

fof(f1167,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(forward_subsumption_resolution,[],[f1159,f187]) ).

fof(f1168,plain,
    sdtlseqdt0(sz0z00,sF5),
    inference(backward_subsumption_resolution,[],[f1060,f1167]) ).

fof(f1249,plain,
    ( sdtlseqdt0(sz0z00,sF6)
    | ~ aScalar0(sF4)
    | ~ sdtlseqdt0(sz0z00,sF5)
    | ~ sdtlseqdt0(sz0z00,sF4)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f159,f227]) ).

fof(f1257,plain,
    ( sdtlseqdt0(sz0z00,sF6)
    | ~ sdtlseqdt0(sz0z00,sF5)
    | ~ sdtlseqdt0(sz0z00,sF4)
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f1249,f238]) ).

fof(f1265,plain,
    ( sdtlseqdt0(sz0z00,sF6)
    | ~ sdtlseqdt0(sz0z00,sF4)
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f1257,f1168]) ).

fof(f1272,plain,
    ( sdtlseqdt0(sz0z00,sF6)
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f1265,f1166]) ).

fof(f1275,plain,
    sdtlseqdt0(sz0z00,sF6),
    inference(forward_subsumption_resolution,[],[f1272,f242]) ).

fof(f1279,plain,
    ( ~ aScalar0(sF6)
    | ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(sF6,sz0z00)
    | sz0z00 = sF6 ),
    inference(resolution,[],[f1275,f154]) ).

fof(f1282,plain,
    ( ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(sF6,sz0z00)
    | sz0z00 = sF6 ),
    inference(forward_subsumption_resolution,[],[f1279,f243]) ).

fof(f1284,plain,
    ( ~ sdtlseqdt0(sF6,sz0z00)
    | sz0z00 = sF6 ),
    inference(forward_subsumption_resolution,[],[f1282,f131]) ).

fof(f1299,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(smndt0(X0),X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(superposition,[],[f156,f137]) ).

fof(f1304,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sz0z00)
      | ~ aScalar0(smndt0(X0))
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X0) ),
    inference(superposition,[],[f963,f137]) ).

fof(f1305,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(X1))
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(smndt0(X1),X0)
      | ~ aScalar0(X1) ),
    inference(superposition,[],[f964,f137]) ).

fof(f1307,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(X1))
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(smndt0(X1),X0) ),
    inference(duplicate_literal_removal,[],[f1305]) ).

fof(f1308,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sz0z00)
      | ~ aScalar0(smndt0(X0))
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(duplicate_literal_removal,[],[f1304]) ).

fof(f1313,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(smndt0(X0),X2)
      | ~ aScalar0(X1) ),
    inference(duplicate_literal_removal,[],[f1299]) ).

fof(f1318,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(smndt0(X1),X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | sdtlseqdt0(sz0z00,X0) ),
    inference(forward_subsumption_resolution,[],[f1307,f134]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | sdtlseqdt0(X1,sz0z00)
      | ~ aScalar0(X0) ),
    inference(forward_subsumption_resolution,[],[f1308,f134]) ).

fof(f1322,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(smndt0(X0),X2)
      | ~ aScalar0(X1) ),
    inference(forward_subsumption_resolution,[],[f1313,f134]) ).

fof(f1516,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(X0,sz0z00)
      | sdtlseqdt0(sz0z00,smndt0(X0))
      | ~ aScalar0(smndt0(X0)) ),
    inference(resolution,[],[f1318,f153]) ).

fof(f1519,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(X0,sz0z00)
      | sdtlseqdt0(sz0z00,smndt0(X0)) ),
    inference(duplicate_literal_removal,[],[f1516]) ).

fof(f1523,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,smndt0(X0))
      | ~ sdtlseqdt0(X0,sz0z00)
      | ~ aScalar0(X0) ),
    inference(forward_subsumption_resolution,[],[f1519,f134]) ).

fof(f1537,plain,
    ( smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2)
    | ~ aScalar0(sF2)
    | ~ aScalar0(sF2) ),
    inference(superposition,[],[f150,f221]) ).

fof(f1538,plain,
    ( smndt0(sF6) = sdtasdt0(smndt0(sF4),sF5)
    | ~ aScalar0(sF4)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f150,f227]) ).

fof(f1547,plain,
    ( smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2)
    | ~ aScalar0(sF2) ),
    inference(duplicate_literal_removal,[],[f1537]) ).

fof(f1558,plain,
    ( smndt0(sF6) = sdtasdt0(smndt0(sF4),sF5)
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f1538,f238]) ).

fof(f1559,plain,
    smndt0(sF3) = sdtasdt0(smndt0(sF2),sF2),
    inference(forward_subsumption_resolution,[],[f1547,f234]) ).

fof(f1569,plain,
    smndt0(sF6) = sdtasdt0(smndt0(sF4),sF5),
    inference(forward_subsumption_resolution,[],[f1558,f242]) ).

fof(f1756,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ sdtlseqdt0(smndt0(X1),X0)
      | ~ aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(superposition,[],[f1322,f138]) ).

fof(f1759,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ sdtlseqdt0(smndt0(X1),X0)
      | ~ aScalar0(smndt0(X0)) ),
    inference(duplicate_literal_removal,[],[f1756]) ).

fof(f1769,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(sz0z00,sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,smndt0(X0))
      | ~ sdtlseqdt0(smndt0(X1),X0) ),
    inference(forward_subsumption_resolution,[],[f1759,f134]) ).

fof(f2226,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(smndt0(X0),X1))
      | ~ aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(superposition,[],[f134,f150]) ).

fof(f2229,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(smndt0(X0),X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(forward_subsumption_resolution,[],[f2226,f133]) ).

fof(f2304,definition,
    ( spl7_6
  <=> sz0z00 = sF6 ),
    introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).

fof(f2305,plain,
    ( sz0z00 = sF6
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f2304]) ).

fof(f2307,definition,
    ( spl7_7
  <=> sdtlseqdt0(sF6,sz0z00) ),
    introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).

fof(f2308,plain,
    ( ~ sdtlseqdt0(sF6,sz0z00)
    | spl7_7 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2309,plain,
    ( spl7_6
    | ~ spl7_7 ),
    inference(avatar_split_clause,[],[f1284,f2307,f2304]) ).

fof(f2387,definition,
    ( spl7_8
  <=> ! [X0,X1] :
        ( ~ aScalar0(X1)
        | ~ sdtlseqdt0(smndt0(X1),X0)
        | ~ sdtlseqdt0(X1,smndt0(X0))
        | ~ aScalar0(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

fof(f2388,plain,
    ( ! [X0,X1] :
        ( ~ sdtlseqdt0(smndt0(X1),X0)
        | ~ aScalar0(X1)
        | ~ sdtlseqdt0(X1,smndt0(X0))
        | ~ aScalar0(X0) )
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f2390,definition,
    ( spl7_9
  <=> sdtlseqdt0(sz0z00,sz0z00) ),
    introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).

fof(f2391,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f2390]) ).

fof(f2392,plain,
    ( spl7_8
    | spl7_9 ),
    inference(avatar_split_clause,[],[f1769,f2390,f2387]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(smndt0(X0)))
        | ~ aScalar0(smndt0(X0))
        | ~ aScalar0(smndt0(X0)) )
    | ~ spl7_8 ),
    inference(resolution,[],[f2388,f153]) ).

fof(f2401,plain,
    ( ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(smndt0(X0)))
        | ~ aScalar0(smndt0(X0)) )
    | ~ spl7_8 ),
    inference(duplicate_literal_removal,[],[f2393]) ).

fof(f2407,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,smndt0(smndt0(X0)))
        | ~ aScalar0(X0) )
    | ~ spl7_8 ),
    inference(forward_subsumption_resolution,[],[f2401,f134]) ).

fof(f2588,plain,
    ! [X0] :
      ( ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(sz0z00,X0)
      | sdtlseqdt0(smndt0(X0),sz0z00)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(X0)) ),
    inference(resolution,[],[f1319,f153]) ).

fof(f2597,plain,
    ! [X0] :
      ( ~ aScalar0(smndt0(X0))
      | ~ sdtlseqdt0(sz0z00,X0)
      | sdtlseqdt0(smndt0(X0),sz0z00)
      | ~ aScalar0(X0) ),
    inference(duplicate_literal_removal,[],[f2588]) ).

fof(f2603,plain,
    ! [X0] :
      ( sdtlseqdt0(smndt0(X0),sz0z00)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ~ aScalar0(X0) ),
    inference(forward_subsumption_resolution,[],[f2597,f134]) ).

fof(f2625,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = smndt0(sdtasdt0(smndt0(X0),X1))
      | ~ aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(superposition,[],[f136,f150]) ).

fof(f2627,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,X0)
        | ~ aScalar0(X0)
        | ~ aScalar0(X0) )
    | ~ spl7_8 ),
    inference(superposition,[],[f2407,f136]) ).

fof(f2642,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,X0)
        | ~ aScalar0(X0) )
    | ~ spl7_8 ),
    inference(duplicate_literal_removal,[],[f2627]) ).

fof(f2647,plain,
    ( ! [X0] : ~ aScalar0(X0)
    | ~ spl7_8 ),
    inference(forward_subsumption_resolution,[],[f2642,f153]) ).

fof(f2649,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = smndt0(sdtasdt0(smndt0(X0),X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(forward_subsumption_resolution,[],[f2625,f133]) ).

fof(f2670,plain,
    ( ! [X0,X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ aVector0(X0) )
    | ~ spl7_8 ),
    inference(backward_subsumption_resolution,[],[f164,f2647]) ).

fof(f2707,plain,
    ( ! [X0] : ~ aVector0(X0)
    | ~ spl7_8 ),
    inference(backward_subsumption_resolution,[],[f163,f2670]) ).

fof(f2713,plain,
    ( $false
    | ~ spl7_8 ),
    inference(backward_subsumption_resolution,[],[f187,f2707]) ).

fof(f2717,plain,
    ~ spl7_8,
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2718,plain,
    ( ! [X2,X0,X1] :
        ( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
        | ~ aScalar0(X2)
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,X1)
        | ~ sdtlseqdt0(X0,X2)
        | ~ aScalar0(X1) )
    | ~ spl7_9 ),
    inference(backward_subsumption_resolution,[],[f1108,f2391]) ).

fof(f2811,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF6))
        | ~ aScalar0(smndt0(sF4))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,sF5)
        | ~ sdtlseqdt0(X0,smndt0(sF4))
        | ~ aScalar0(sF5) )
    | ~ spl7_9 ),
    inference(superposition,[],[f2718,f1569]) ).

fof(f2833,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF6))
        | ~ aScalar0(smndt0(sF4))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(sF4))
        | ~ aScalar0(sF5) )
    | ~ spl7_9 ),
    inference(forward_subsumption_resolution,[],[f2811,f1168]) ).

fof(f2840,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF6))
        | ~ aScalar0(smndt0(sF4))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(sF4)) )
    | ~ spl7_9 ),
    inference(forward_subsumption_resolution,[],[f2833,f242]) ).

fof(f3171,plain,
    ( aScalar0(smndt0(sF3))
    | ~ aScalar0(smndt0(sF2))
    | ~ aScalar0(sF2) ),
    inference(superposition,[],[f133,f1559]) ).

fof(f3191,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF3))
        | ~ aScalar0(smndt0(sF2))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,sF2)
        | ~ sdtlseqdt0(X0,smndt0(sF2))
        | ~ aScalar0(sF2) )
    | ~ spl7_9 ),
    inference(superposition,[],[f2718,f1559]) ).

fof(f3197,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF3))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,sF2)
        | ~ sdtlseqdt0(X0,smndt0(sF2))
        | ~ aScalar0(sF2) )
    | ~ spl7_9 ),
    inference(forward_subsumption_resolution,[],[f3191,f134]) ).

fof(f3215,plain,
    ( aScalar0(smndt0(sF3))
    | ~ aScalar0(sF2) ),
    inference(forward_subsumption_resolution,[],[f3171,f134]) ).

fof(f3217,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF3))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,sF2)
        | ~ sdtlseqdt0(X0,smndt0(sF2)) )
    | ~ spl7_9 ),
    inference(forward_subsumption_resolution,[],[f3197,f234]) ).

fof(f3228,plain,
    aScalar0(smndt0(sF3)),
    inference(forward_subsumption_resolution,[],[f3215,f234]) ).

fof(f4550,plain,
    ( aScalar0(smndt0(sF6))
    | ~ aScalar0(sF4)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f2229,f1569]) ).

fof(f4559,plain,
    ( aScalar0(smndt0(sF6))
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f4550,f238]) ).

fof(f4562,plain,
    aScalar0(smndt0(sF6)),
    inference(forward_subsumption_resolution,[],[f4559,f242]) ).

fof(f9717,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF3))
        | ~ aScalar0(sF2)
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,smndt0(sF2))
        | ~ sdtlseqdt0(X0,sF2)
        | ~ aScalar0(smndt0(sF2)) )
    | ~ spl7_9 ),
    inference(superposition,[],[f2718,f931]) ).

fof(f9737,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz0z00,smndt0(sF3))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,smndt0(sF2))
        | ~ sdtlseqdt0(X0,sF2)
        | ~ aScalar0(smndt0(sF2)) )
    | ~ spl7_9 ),
    inference(forward_subsumption_resolution,[],[f9717,f234]) ).

fof(f10108,plain,
    ( sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3))
    | ~ aScalar0(sF2)
    | ~ aScalar0(sF2) ),
    inference(superposition,[],[f2649,f1559]) ).

fof(f10109,plain,
    ( sdtasdt0(sF4,sF5) = smndt0(smndt0(sF6))
    | ~ aScalar0(sF4)
    | ~ aScalar0(sF5) ),
    inference(superposition,[],[f2649,f1569]) ).

fof(f10174,plain,
    ( sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3))
    | ~ aScalar0(sF2) ),
    inference(duplicate_literal_removal,[],[f10108]) ).

fof(f10204,plain,
    ( sdtasdt0(sF4,sF5) = smndt0(smndt0(sF6))
    | ~ aScalar0(sF5) ),
    inference(forward_subsumption_resolution,[],[f10109,f238]) ).

fof(f10205,plain,
    sdtasdt0(sF2,sF2) = smndt0(smndt0(sF3)),
    inference(forward_subsumption_resolution,[],[f10174,f234]) ).

fof(f10211,plain,
    sdtasdt0(sF4,sF5) = smndt0(smndt0(sF6)),
    inference(forward_subsumption_resolution,[],[f10204,f242]) ).

fof(f10212,plain,
    sF3 = smndt0(smndt0(sF3)),
    inference(forward_demodulation,[],[f10205,f221]) ).

fof(f10214,plain,
    sF6 = smndt0(smndt0(sF6)),
    inference(forward_demodulation,[],[f10211,f227]) ).

fof(f10231,plain,
    ( sdtlseqdt0(sF6,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(sF6))
    | ~ aScalar0(smndt0(sF6)) ),
    inference(superposition,[],[f2603,f10214]) ).

fof(f10298,plain,
    ( ~ sdtlseqdt0(sz0z00,smndt0(sF6))
    | ~ aScalar0(smndt0(sF6))
    | spl7_7 ),
    inference(forward_subsumption_resolution,[],[f10231,f2308]) ).

fof(f10310,plain,
    ( ~ sdtlseqdt0(sz0z00,smndt0(sF6))
    | spl7_7 ),
    inference(forward_subsumption_resolution,[],[f10298,f4562]) ).

fof(f10312,plain,
    ( ! [X0] :
        ( ~ aScalar0(smndt0(sF4))
        | ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(sF4)) )
    | spl7_7
    | ~ spl7_9 ),
    inference(backward_subsumption_resolution,[],[f2840,f10310]) ).

fof(f10341,plain,
    ( sdtlseqdt0(sF3,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(sF3))
    | ~ aScalar0(smndt0(sF3)) ),
    inference(superposition,[],[f2603,f10212]) ).

fof(f10409,plain,
    ( sdtlseqdt0(sF3,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(sF3)) ),
    inference(forward_subsumption_resolution,[],[f10341,f3228]) ).

fof(f10424,definition,
    ( spl7_34
  <=> ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,smndt0(sF4)) ) ),
    introduced(definition,[new_symbols(definition,[spl7_34])],[avatar_definition]) ).

fof(f10425,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,smndt0(sF4))
        | ~ aScalar0(X0) )
    | ~ spl7_34 ),
    inference(avatar_component_clause,[],[f10424]) ).

fof(f10427,definition,
    ( spl7_35
  <=> aScalar0(smndt0(sF4)) ),
    introduced(definition,[new_symbols(definition,[spl7_35])],[avatar_definition]) ).

fof(f10428,plain,
    ( ~ aScalar0(smndt0(sF4))
    | spl7_35 ),
    inference(avatar_component_clause,[],[f10427]) ).

fof(f10429,plain,
    ( spl7_34
    | ~ spl7_35
    | spl7_7
    | ~ spl7_9 ),
    inference(avatar_split_clause,[],[f10312,f2390,f2307,f10427,f10424]) ).

fof(f10431,plain,
    ( ~ aScalar0(sF4)
    | spl7_35 ),
    inference(resolution,[],[f10428,f134]) ).

fof(f10433,plain,
    ( $false
    | spl7_35 ),
    inference(forward_subsumption_resolution,[],[f10431,f238]) ).

fof(f10434,plain,
    spl7_35,
    inference(avatar_contradiction_clause,[],[f10433]) ).

fof(f10435,plain,
    ( ~ aScalar0(smndt0(sF4))
    | ~ aScalar0(smndt0(sF4))
    | ~ spl7_34 ),
    inference(resolution,[],[f10425,f153]) ).

fof(f10450,plain,
    ( ~ aScalar0(smndt0(sF4))
    | ~ spl7_34 ),
    inference(duplicate_literal_removal,[],[f10435]) ).

fof(f10468,plain,
    ( ~ spl7_35
    | ~ spl7_34 ),
    inference(avatar_split_clause,[],[f10450,f10424,f10427]) ).

fof(f10570,plain,
    ( ~ sdtlseqdt0(sF3,sz0z00)
    | ~ spl7_6 ),
    inference(superposition,[],[f228,f2305]) ).

fof(f10609,plain,
    ( ~ sdtlseqdt0(sz0z00,smndt0(sF3))
    | ~ spl7_6 ),
    inference(backward_subsumption_resolution,[],[f10409,f10570]) ).

fof(f10611,plain,
    ( ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,sF2)
        | ~ sdtlseqdt0(X0,smndt0(sF2)) )
    | ~ spl7_6
    | ~ spl7_9 ),
    inference(backward_subsumption_resolution,[],[f3217,f10609]) ).

fof(f10620,plain,
    ( ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(sz0z00,smndt0(sF2))
        | ~ sdtlseqdt0(X0,sF2)
        | ~ aScalar0(smndt0(sF2)) )
    | ~ spl7_6
    | ~ spl7_9 ),
    inference(backward_subsumption_resolution,[],[f9737,f10609]) ).

fof(f10870,definition,
    ( spl7_38
  <=> aScalar0(smndt0(sF2)) ),
    introduced(definition,[new_symbols(definition,[spl7_38])],[avatar_definition]) ).

fof(f10871,plain,
    ( ~ aScalar0(smndt0(sF2))
    | spl7_38 ),
    inference(avatar_component_clause,[],[f10870]) ).

fof(f10873,definition,
    ( spl7_39
  <=> sdtlseqdt0(sz0z00,smndt0(sF2)) ),
    introduced(definition,[new_symbols(definition,[spl7_39])],[avatar_definition]) ).

fof(f10874,plain,
    ( ~ sdtlseqdt0(sz0z00,smndt0(sF2))
    | spl7_39 ),
    inference(avatar_component_clause,[],[f10873]) ).

fof(f10876,definition,
    ( spl7_40
  <=> ! [X0] :
        ( ~ aScalar0(X0)
        | ~ sdtlseqdt0(X0,sF2) ) ),
    introduced(definition,[new_symbols(definition,[spl7_40])],[avatar_definition]) ).

fof(f10877,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,sF2)
        | ~ aScalar0(X0) )
    | ~ spl7_40 ),
    inference(avatar_component_clause,[],[f10876]) ).

fof(f10878,plain,
    ( ~ spl7_38
    | ~ spl7_39
    | spl7_40
    | ~ spl7_6
    | ~ spl7_9 ),
    inference(avatar_split_clause,[],[f10620,f2390,f2304,f10876,f10873,f10870]) ).

fof(f10880,plain,
    ( ~ aScalar0(sF2)
    | spl7_38 ),
    inference(resolution,[],[f10871,f134]) ).

fof(f10882,plain,
    ( $false
    | spl7_38 ),
    inference(forward_subsumption_resolution,[],[f10880,f234]) ).

fof(f10883,plain,
    spl7_38,
    inference(avatar_contradiction_clause,[],[f10882]) ).

fof(f10885,plain,
    ( ~ sdtlseqdt0(sF2,sz0z00)
    | ~ aScalar0(sF2)
    | spl7_39 ),
    inference(resolution,[],[f10874,f1523]) ).

fof(f10897,plain,
    ( ~ sdtlseqdt0(sF2,sz0z00)
    | spl7_39 ),
    inference(forward_subsumption_resolution,[],[f10885,f234]) ).

fof(f11108,plain,
    ( ~ aScalar0(sz0z00)
    | ~ aScalar0(sF2)
    | sdtlseqdt0(sz0z00,sF2)
    | spl7_39 ),
    inference(resolution,[],[f10897,f158]) ).

fof(f11109,plain,
    ( ~ aScalar0(sF2)
    | sdtlseqdt0(sz0z00,sF2)
    | spl7_39 ),
    inference(forward_subsumption_resolution,[],[f11108,f131]) ).

fof(f11110,plain,
    ( sdtlseqdt0(sz0z00,sF2)
    | spl7_39 ),
    inference(forward_subsumption_resolution,[],[f11109,f234]) ).

fof(f11121,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,smndt0(sF2))
        | ~ aScalar0(X0) )
    | ~ spl7_6
    | ~ spl7_9
    | spl7_39 ),
    inference(backward_subsumption_resolution,[],[f10611,f11110]) ).

fof(f11122,plain,
    ( ~ aScalar0(smndt0(sF2))
    | ~ aScalar0(smndt0(sF2))
    | ~ spl7_6
    | ~ spl7_9
    | spl7_39 ),
    inference(resolution,[],[f11121,f153]) ).

fof(f11137,plain,
    ( ~ aScalar0(smndt0(sF2))
    | ~ spl7_6
    | ~ spl7_9
    | spl7_39 ),
    inference(duplicate_literal_removal,[],[f11122]) ).

fof(f11147,plain,
    ( ~ spl7_38
    | ~ spl7_6
    | ~ spl7_9
    | spl7_39 ),
    inference(avatar_split_clause,[],[f11137,f10873,f2390,f2304,f10870]) ).

fof(f11160,plain,
    ( ~ aScalar0(sF2)
    | ~ aScalar0(sF2)
    | ~ spl7_40 ),
    inference(resolution,[],[f10877,f153]) ).

fof(f11175,plain,
    ( ~ aScalar0(sF2)
    | ~ spl7_40 ),
    inference(duplicate_literal_removal,[],[f11160]) ).

fof(f11190,plain,
    ( $false
    | ~ spl7_40 ),
    inference(forward_subsumption_resolution,[],[f11175,f234]) ).

fof(f11191,plain,
    ~ spl7_40,
    inference(avatar_contradiction_clause,[],[f11190]) ).

cnf(s748,plain,
    ( spl7_6
    | ~ spl7_7 ),
    inference(sat_conversion,[],[f2309]) ).

cnf(s769,plain,
    ( spl7_8
    | spl7_9 ),
    inference(sat_conversion,[],[f2392]) ).

cnf(s881,plain,
    ~ spl7_8,
    inference(sat_conversion,[],[f2717]) ).

cnf(s3100,plain,
    ( spl7_7
    | ~ spl7_9
    | spl7_34
    | ~ spl7_35 ),
    inference(sat_conversion,[],[f10429]) ).

cnf(s3103,plain,
    spl7_35,
    inference(sat_conversion,[],[f10434]) ).

cnf(s3113,plain,
    ( ~ spl7_34
    | ~ spl7_35 ),
    inference(sat_conversion,[],[f10468]) ).

cnf(s3189,plain,
    ( ~ spl7_6
    | ~ spl7_9
    | ~ spl7_38
    | ~ spl7_39
    | spl7_40 ),
    inference(sat_conversion,[],[f10878]) ).

cnf(s3192,plain,
    spl7_38,
    inference(sat_conversion,[],[f10883]) ).

cnf(s3275,plain,
    ( ~ spl7_6
    | ~ spl7_9
    | ~ spl7_38
    | spl7_39 ),
    inference(sat_conversion,[],[f11147]) ).

cnf(s3295,plain,
    ~ spl7_40,
    inference(sat_conversion,[],[f11191]) ).

cnf(s3355,plain,
    ( ~ spl7_6
    | ~ spl7_9
    | ~ spl7_39 ),
    inference(rat,[],[s3189,s3295,s3192]) ).

cnf(s3356,plain,
    ~ spl7_34,
    inference(rat,[],[s3113,s3103]) ).

cnf(s3357,plain,
    ( spl7_7
    | ~ spl7_9 ),
    inference(rat,[],[s3100,s3103,s3356]) ).

cnf(s3365,plain,
    spl7_9,
    inference(rat,[],[s769,s881]) ).

cnf(s3366,plain,
    spl7_7,
    inference(rat,[],[s3357,s3365]) ).

cnf(s3368,plain,
    spl7_6,
    inference(rat,[],[s748,s3366]) ).

cnf(s3369,plain,
    spl7_39,
    inference(rat,[],[s3275,s3365,s3192,s3368]) ).

cnf(s3370,plain,
    $false,
    inference(rat,[],[s3355,s3365,s3369,s3368]) ).

fof(f11433,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3370]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG075+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n018.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 23:12:09 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 11.97/2.70  % (2840097)Detected formulas, will run a generic FOF schedule.
% 11.97/2.70  % (2840106)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3034281046:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.97/2.70  % (2840104)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=3835626148:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.97/2.70  % (2840103)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=1005311205:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.97/2.70  % (2840108)dis-21_1_sil=8000:lcm=predicate:random_seed=2456801566: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)
% 11.97/2.70  % (2840102)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=2798889573:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.97/2.70  % (2840107)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1165701811:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.97/2.70  % (2840105)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=314228001:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.97/2.70  % (2840106)Instruction limit reached! 
% 11.97/2.70  % (2840106)------------------------------
% 11.97/2.70  % (2840106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.70  % (2840106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.70  % (2840106)CaDiCaL version: 2.1.3
% 11.97/2.70  % (2840106)Termination reason: Instruction limit
% 11.97/2.70  % (2840106)Termination phase: Saturation
% 11.97/2.70  % (2840106)Time elapsed: 0.038 s
% 11.97/2.70  % (2840106)Peak memory usage: 89 MB
% 11.97/2.70  % (2840106)Instructions burned: 119 (million)
% 11.97/2.70  % (2840108)Instruction limit reached! 
% 11.97/2.70  % (2840108)------------------------------
% 11.97/2.70  % (2840108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.70  % (2840108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.70  % (2840108)CaDiCaL version: 2.1.3
% 11.97/2.70  % (2840108)Termination reason: Instruction limit
% 11.97/2.70  % (2840108)Termination phase: Saturation
% 11.97/2.70  % (2840108)Time elapsed: 0.059 s
% 11.97/2.70  % (2840108)Peak memory usage: 89 MB
% 11.97/2.70  % (2840108)Instructions burned: 131 (million)
% 11.97/2.70  % (2840105)Instruction limit reached! 
% 11.97/2.70  % (2840105)------------------------------
% 11.97/2.70  % (2840105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.70  % (2840105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.70  % (2840105)CaDiCaL version: 2.1.3
% 11.97/2.70  % (2840105)Termination reason: Instruction limit
% 11.97/2.70  % (2840105)Termination phase: Saturation
% 11.97/2.70  % (2840105)Time elapsed: 0.063 s
% 11.97/2.70  % (2840105)Peak memory usage: 89 MB
% 11.97/2.70  % (2840105)Instructions burned: 110 (million)
% 11.97/2.70  % (2840107)Instruction limit reached! 
% 11.97/2.70  % (2840107)------------------------------
% 11.97/2.70  % (2840107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.70  % (2840107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.70  % (2840107)CaDiCaL version: 2.1.3
% 11.97/2.70  % (2840107)Termination reason: Instruction limit
% 11.97/2.70  % (2840107)Termination phase: Saturation
% 11.97/2.70  % (2840107)Time elapsed: 0.091 s
% 11.97/2.70  % (2840107)Peak memory usage: 90 MB
% 11.97/2.70  % (2840107)Instructions burned: 140 (million)
% 11.97/2.70  % (2840116)lrs+10_1_sil=8000:sp=occurrence:random_seed=2004027217:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.97/2.70  % (2840117)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3835732911:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.97/2.70  % (2840118)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3702978643:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.97/2.70  % (2840116)Instruction limit reached! 
% 11.97/2.70  % (2840116)------------------------------
% 11.97/2.70  % (2840116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.70  % (2840116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840116)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840116)Termination reason: Instruction limit
% 18.98/3.64  % (2840116)Termination phase: Saturation
% 18.98/3.64  % (2840116)Time elapsed: 0.096 s
% 18.98/3.64  % (2840116)Peak memory usage: 93 MB
% 18.98/3.64  % (2840116)Instructions burned: 286 (million)
% 18.98/3.64  % (2840119)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=4080132474:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 18.98/3.64  % (2840117)Instruction limit reached! 
% 18.98/3.64  % (2840117)------------------------------
% 18.98/3.64  % (2840117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840117)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840117)Termination reason: Instruction limit
% 18.98/3.64  % (2840117)Termination phase: Saturation
% 18.98/3.64  % (2840117)Time elapsed: 0.073 s
% 18.98/3.64  % (2840117)Peak memory usage: 92 MB
% 18.98/3.64  % (2840117)Instructions burned: 158 (million)
% 18.98/3.64  % (2840123)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=410159932:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 18.98/3.64  % (2840119)Instruction limit reached! 
% 18.98/3.64  % (2840119)------------------------------
% 18.98/3.64  % (2840119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840119)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840119)Termination reason: Instruction limit
% 18.98/3.64  % (2840119)Termination phase: Saturation
% 18.98/3.64  % (2840119)Time elapsed: 0.122 s
% 18.98/3.64  % (2840119)Peak memory usage: 97 MB
% 18.98/3.64  % (2840119)Instructions burned: 248 (million)
% 18.98/3.64  % (2840118)Instruction limit reached! 
% 18.98/3.64  % (2840118)------------------------------
% 18.98/3.64  % (2840118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840118)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840118)Termination reason: Instruction limit
% 18.98/3.64  % (2840118)Termination phase: Saturation
% 18.98/3.64  % (2840118)Time elapsed: 0.191 s
% 18.98/3.64  % (2840118)Peak memory usage: 93 MB
% 18.98/3.64  % (2840118)Instructions burned: 326 (million)
% 18.98/3.64  % (2840123)Instruction limit reached! 
% 18.98/3.64  % (2840123)------------------------------
% 18.98/3.64  % (2840123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840123)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840123)Termination reason: Instruction limit
% 18.98/3.64  % (2840123)Termination phase: Saturation
% 18.98/3.64  % (2840123)Time elapsed: 0.092 s
% 18.98/3.64  % (2840123)Peak memory usage: 90 MB
% 18.98/3.64  % (2840123)Instructions burned: 294 (million)
% 18.98/3.64  % (2840125)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4138839208:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.98/3.64  % (2840128)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2511613347:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.98/3.64  % (2840130)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=567582466:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 18.98/3.64  % (2840130)Instruction limit reached! 
% 18.98/3.64  % (2840130)------------------------------
% 18.98/3.64  % (2840130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.98/3.64  % (2840130)CaDiCaL version: 2.1.3
% 18.98/3.64  % (2840130)Termination reason: Instruction limit
% 18.98/3.64  % (2840130)Termination phase: Saturation
% 18.98/3.64  % (2840130)Time elapsed: 0.033 s
% 18.98/3.64  % (2840130)Peak memory usage: 89 MB
% 18.98/3.64  % (2840130)Instructions burned: 114 (million)
% 18.98/3.64  % (2840129)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1369793956:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.98/3.64  % (2840128)Instruction limit reached! 
% 18.98/3.64  % (2840128)------------------------------
% 18.98/3.64  % (2840128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.98/3.64  % (2840128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840128)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840128)Termination reason: Instruction limit
% 34.26/5.78  % (2840128)Termination phase: Saturation
% 34.26/5.78  % (2840128)Time elapsed: 0.076 s
% 34.26/5.78  % (2840128)Peak memory usage: 91 MB
% 34.26/5.78  % (2840128)Instructions burned: 113 (million)
% 34.26/5.78  % (2840129)Instruction limit reached! 
% 34.26/5.78  % (2840129)------------------------------
% 34.26/5.78  % (2840129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840129)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840129)Termination reason: Instruction limit
% 34.26/5.78  % (2840129)Termination phase: Saturation
% 34.26/5.78  % (2840129)Time elapsed: 0.066 s
% 34.26/5.78  % (2840129)Peak memory usage: 89 MB
% 34.26/5.78  % (2840129)Instructions burned: 128 (million)
% 34.26/5.78  % (2840134)lrs+10_1_sil=8000:sp=occurrence:random_seed=2554262875:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 34.26/5.78  % (2840136)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2379156835:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 34.26/5.78  % (2840137)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3600836597:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 34.26/5.78  % (2840134)Instruction limit reached! 
% 34.26/5.78  % (2840134)------------------------------
% 34.26/5.78  % (2840134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840134)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840134)Termination reason: Instruction limit
% 34.26/5.78  % (2840134)Termination phase: Saturation
% 34.26/5.78  % (2840134)Time elapsed: 0.270 s
% 34.26/5.78  % (2840134)Peak memory usage: 102 MB
% 34.26/5.78  % (2840134)Instructions burned: 908 (million)
% 34.26/5.78  % (2840136)Instruction limit reached! 
% 34.26/5.78  % (2840136)------------------------------
% 34.26/5.78  % (2840136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840136)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840136)Termination reason: Instruction limit
% 34.26/5.78  % (2840136)Termination phase: Saturation
% 34.26/5.78  % (2840136)Time elapsed: 0.246 s
% 34.26/5.78  % (2840136)Peak memory usage: 95 MB
% 34.26/5.78  % (2840136)Instructions burned: 437 (million)
% 34.26/5.78  % (2840141)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2700903166:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 34.26/5.78  % (2840141)Instruction limit reached! 
% 34.26/5.78  % (2840141)------------------------------
% 34.26/5.78  % (2840141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840141)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840141)Termination reason: Instruction limit
% 34.26/5.78  % (2840141)Termination phase: Saturation
% 34.26/5.78  % (2840141)Time elapsed: 0.032 s
% 34.26/5.78  % (2840141)Peak memory usage: 92 MB
% 34.26/5.78  % (2840141)Instructions burned: 137 (million)
% 34.26/5.78  % (2840142)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1216178407:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 34.26/5.78  % (2840144)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1915147628:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 34.26/5.78  % (2840142)Instruction limit reached! 
% 34.26/5.78  % (2840142)------------------------------
% 34.26/5.78  % (2840142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840142)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840142)Termination reason: Instruction limit
% 34.26/5.78  % (2840142)Termination phase: Saturation
% 34.26/5.78  % (2840142)Time elapsed: 0.286 s
% 34.26/5.78  % (2840142)Peak memory usage: 91 MB
% 34.26/5.78  % (2840142)Instructions burned: 592 (million)
% 34.26/5.78  % (2840147)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1751221950:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 34.26/5.78  % (2840147)Instruction limit reached! 
% 34.26/5.78  % (2840147)------------------------------
% 34.26/5.78  % (2840147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840147)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840147)Termination reason: Instruction limit
% 34.26/5.78  % (2840147)Termination phase: Saturation
% 34.26/5.78  % (2840147)Time elapsed: 0.065 s
% 34.26/5.78  % (2840147)Peak memory usage: 90 MB
% 34.26/5.78  % (2840147)Instructions burned: 126 (million)
% 34.26/5.78  % (2840149)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1994788341:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 34.26/5.78  % (2840149)Instruction limit reached! 
% 34.26/5.78  % (2840149)------------------------------
% 34.26/5.78  % (2840149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840149)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840149)Termination reason: Instruction limit
% 34.26/5.78  % (2840149)Termination phase: Saturation
% 34.26/5.78  % (2840149)Time elapsed: 0.072 s
% 34.26/5.78  % (2840149)Peak memory usage: 91 MB
% 34.26/5.78  % (2840149)Instructions burned: 135 (million)
% 34.26/5.78  % (2840125)Instruction limit reached! 
% 34.26/5.78  % (2840125)------------------------------
% 34.26/5.78  % (2840125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840125)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840125)Termination reason: Instruction limit
% 34.26/5.78  % (2840125)Termination phase: Saturation
% 34.26/5.78  % (2840125)Time elapsed: 1.504 s
% 34.26/5.78  % (2840125)Peak memory usage: 144 MB
% 34.26/5.78  % (2840125)Instructions burned: 2350 (million)
% 34.26/5.78  % (2840151)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3402444536:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 34.26/5.78  % (2840152)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3848263500:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 34.26/5.78  % (2840151)Instruction limit reached! 
% 34.26/5.78  % (2840151)------------------------------
% 34.26/5.78  % (2840151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840151)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840151)Termination reason: Instruction limit
% 34.26/5.78  % (2840151)Termination phase: Saturation
% 34.26/5.78  % (2840151)Time elapsed: 0.070 s
% 34.26/5.78  % (2840151)Peak memory usage: 91 MB
% 34.26/5.78  % (2840151)Instructions burned: 142 (million)
% 34.26/5.78  % (2840155)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2890658908:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 34.26/5.78  % (2840152)Instruction limit reached! 
% 34.26/5.78  % (2840152)------------------------------
% 34.26/5.78  % (2840152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840152)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840152)Termination reason: Instruction limit
% 34.26/5.78  % (2840152)Termination phase: Saturation
% 34.26/5.78  % (2840152)Time elapsed: 0.234 s
% 34.26/5.78  % (2840152)Peak memory usage: 96 MB
% 34.26/5.78  % (2840152)Instructions burned: 432 (million)
% 34.26/5.78  % (2840157)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1200776107:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 34.26/5.78  % (2840157)Instruction limit reached! 
% 34.26/5.78  % (2840157)------------------------------
% 34.26/5.78  % (2840157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840157)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840157)Termination reason: Instruction limit
% 34.26/5.78  % (2840157)Termination phase: Saturation
% 34.26/5.78  % (2840157)Time elapsed: 0.079 s
% 34.26/5.78  % (2840157)Peak memory usage: 92 MB
% 34.26/5.78  % (2840157)Instructions burned: 151 (million)
% 34.26/5.78  % (2840159)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3389496327:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 34.26/5.78  % (2840137)Instruction limit reached! 
% 34.26/5.78  % (2840137)------------------------------
% 34.26/5.78  % (2840137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840137)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840137)Termination reason: Instruction limit
% 34.26/5.78  % (2840137)Termination phase: Saturation
% 34.26/5.78  % (2840137)Time elapsed: 3.229 s
% 34.26/5.78  % (2840137)Peak memory usage: 170 MB
% 34.26/5.78  % (2840137)Instructions burned: 5202 (million)
% 34.26/5.78  % (2840161)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3437178443:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 34.26/5.78  % (2840155)First to succeed.
% 34.26/5.78  % (2840155)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2840097"
% 34.26/5.78  % (2840161)Instruction limit reached! 
% 34.26/5.78  % (2840161)------------------------------
% 34.26/5.78  % (2840161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.78  % (2840161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.78  % (2840161)CaDiCaL version: 2.1.3
% 34.26/5.78  % (2840161)Termination reason: Instruction limit
% 34.26/5.78  % (2840161)Termination phase: Saturation
% 34.26/5.78  % (2840161)Time elapsed: 0.225 s
% 34.26/5.78  % (2840161)Peak memory usage: 93 MB
% 34.26/5.78  % (2840161)Instructions burned: 669 (million)
% 34.26/5.78  % (2840163)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2843830543:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 34.26/5.78  % (2840155)Refutation found. Thanks to Tanya!
% 34.26/5.78  % SZS status Theorem for theBenchmark
% 34.26/5.78  % SZS output start Proof for theBenchmark
% See solution above
% 35.08/5.97  % (2840155)------------------------------
% 35.08/5.97  % (2840155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.08/5.97  % (2840155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.08/5.97  % (2840155)CaDiCaL version: 2.1.3
% 35.08/5.97  % (2840155)Termination reason: Refutation
% 35.08/5.97  % (2840155)Time elapsed: 2.112 s
% 35.08/5.97  % (2840155)Peak memory usage: 151 MB
% 35.08/5.97  % (2840155)Instructions burned: 3333 (million)
% 35.08/5.97  % (2840155)------------------------------
% 35.08/5.97  % (2840155)------------------------------
% 35.08/5.97  % (2840097)Success in time 4.913 s
% 35.08/5.97  % Vampire exiting
%------------------------------------------------------------------------------