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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG064+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n012.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 : Fri Sep 25 02:38:42 PM UTC 2026

% Result   : Theorem 131.91s 29.41s
% Output   : CNFRefutation 131.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  252 (  89 unt;   0 def)
%            Number of atoms       :  765 (  98 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  959 ( 446   ~; 432   |;  60   &)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  14 con; 0-2 aty)
%            Number of variables   :  213 (   0 sgn 213   !;   0   ?;  98   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

fof(f12,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => aScalar0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( smndt0(sz0z00) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(sz0z00,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(sz0z00,X1)
          & sdtlseqdt0(sz0z00,X0) )
       => ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
          & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

fof(f37,axiom,
    ! [X0] :
      ( aVector0(X0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

fof(f42,axiom,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

fof(f43,axiom,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( aNaturalNumber0(X0)
       => sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & aVector0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

fof(f44,axiom,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

fof(f45,axiom,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

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

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

fof(f49,axiom,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f55,axiom,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).

fof(f58,axiom,
    ( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
    & sdtasdt0(smndt0(xS),xR) = smndt0(xN)
    & sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).

fof(f64,conjecture,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f65,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(negated_conjecture,[status(cth)],[f64]) ).

fof(f66,plain,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(flattening,[],[f65]) ).

fof(f74,plain,
    ( xp = sziznziztdt0(xs)
    & ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & aVector0(xp) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f75,plain,
    ( xq = sziznziztdt0(xt)
    & ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & aVector0(xq) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f21]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1 ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
    inference(flattening,[],[f107]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | ( smndt0(sz0z00) = sz0z00
        & smndt0(smndt0(X0)) = X0
        & sdtpldt0(smndt0(X0),X0) = sz0z00
        & sdtpldt0(X0,smndt0(X0)) = sz0z00
        & sdtasdt0(sz0z00,X0) = sz0z00
        & sdtasdt0(X0,sz0z00) = sz0z00
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtpldt0(X0,X1)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtpldt0(X0,X1)) ),
    inference(flattening,[],[f119]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
        & sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
    inference(flattening,[],[f124]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(flattening,[],[f126]) ).

fof(f141,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f74]) ).

fof(f145,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f75]) ).

fof(f147,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f44]) ).

fof(f149,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f45]) ).

fof(f150,plain,
    xC = sdtasasdt0(xp,xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f151,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f152,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[],[f47]) ).

fof(f153,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f156,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[],[f49]) ).

fof(f157,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f158,plain,
    xG = sdtasdt0(xB,xB),
    inference(cnf_transformation,[],[f50]) ).

fof(f159,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f162,plain,
    xR = sdtasdt0(xC,xG),
    inference(cnf_transformation,[],[f52]) ).

fof(f163,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f166,plain,
    xS = sdtasdt0(xF,xD),
    inference(cnf_transformation,[],[f54]) ).

fof(f167,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f168,plain,
    xN = sdtasdt0(xR,xS),
    inference(cnf_transformation,[],[f55]) ).

fof(f169,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f55]) ).

fof(f173,plain,
    smndt0(xN) = sdtasdt0(smndt0(xS),xR),
    inference(cnf_transformation,[],[f58]) ).

fof(f174,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cnf_transformation,[],[f58]) ).

fof(f180,plain,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f66]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f184,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X0,X2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = smndt0(sz0z00) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sz0z00 = sdtasdt0(X0,sz0z00) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtpldt0(sz0z00,X0) = X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtpldt0(X0,sz0z00) = X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | aScalar0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | aScalar0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0)
      | sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f231,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_54,plain,
    aVector0(xp),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_58,plain,
    aVector0(xq),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_62,plain,
    aScalar0(xA),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_64,plain,
    aScalar0(xB),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_66,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_67,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnf_transformation,[],[f150]) ).

tcf(c_68,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_69,plain,
    sdtasasdt0(xq,xq) = xD,
    inference(cnf_transformation,[],[f152]) ).

tcf(c_72,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_73,plain,
    sdtasdt0(xA,xA) = xF,
    inference(cnf_transformation,[],[f156]) ).

tcf(c_74,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_75,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnf_transformation,[],[f158]) ).

tcf(c_78,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_79,plain,
    sdtasdt0(xC,xG) = xR,
    inference(cnf_transformation,[],[f162]) ).

tcf(c_82,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_83,plain,
    sdtasdt0(xF,xD) = xS,
    inference(cnf_transformation,[],[f166]) ).

tcf(c_84,plain,
    aScalar0(xN),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_85,plain,
    sdtasdt0(xR,xS) = xN,
    inference(cnf_transformation,[],[f168]) ).

tcf(c_88,plain,
    sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_89,plain,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_96,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sdtlseqdt0(X0,X2)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_103,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_104,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_105,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_126,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sz0z00,X0) = X0 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,sz0z00) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_129,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_132,plain,
    ! [X0: $i] :
      ( ( smndt0(sz0z00) = sz0z00 )
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_133,plain,
    ! [X0: $i] :
      ( aScalar0(smndt0(X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_141,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_143,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_145,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(sz0z00,X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_147,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_148,plain,
    ( aScalar0(smndt0(xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_133]) ).

tcf(c_153,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_143]) ).

tcf(c_154,plain,
    ( ( smndt0(sz0z00) = sz0z00 )
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_167,plain,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(xS) ),
    inference(instantiation,[status(thm)],[c_104]) ).

tcf(c_196,plain,
    smndt0(sz0z00) = sz0z00,
    inference(global_subsumption_just,[status(thm)],[c_132,c_82,c_154]) ).

tcf(c_3070,plain,
    sdtpldt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_147,c_125]) ).

tcf(c_3175,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(xR)
    | ~ aScalar0(smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_88,c_104]) ).

tcf(c_3185,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3175,c_78]) ).

tcf(c_3328,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtpldt0(xN,xN))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_3512,plain,
    ( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(xN,xN))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(superposition,[status(thm)],[c_99,c_96]) ).

tcf(c_4117,plain,
    ( aScalar0(sdtasdt0(xR,xR))
    | ~ aScalar0(xR) ),
    inference(instantiation,[status(thm)],[c_104]) ).

tcf(c_4120,plain,
    ( aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(xN) ),
    inference(instantiation,[status(thm)],[c_141]) ).

tcf(c_4260,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtpldt0(xN,xN))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(superposition,[status(thm)],[c_3512,c_101]) ).

tcf(c_4554,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0)
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4260,c_84,c_4120,c_4260]) ).

tcf(c_4555,plain,
    ! [X0: $i] :
      ( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(renaming,[status(thm)],[c_4554]) ).

tcf(c_4566,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = X0 )
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(superposition,[status(thm)],[c_4555,c_102]) ).

tcf(c_4603,plain,
    ! [X0: $i] :
      ( ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4566,c_84,c_96,c_3328,c_4120]) ).

tcf(c_4604,plain,
    ! [X0: $i] :
      ( ~ aScalar0(X0)
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(renaming,[status(thm)],[c_4603]) ).

tcf(c_5638,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtasdt0(xS,xS))
      | ~ aScalar0(sdtasdt0(xR,xR))
      | ~ aScalar0(sdtpldt0(X0,X1))
      | ~ sdtlseqdt0(X1,sdtasdt0(xS,xS))
      | ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0,X1))
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(superposition,[status(thm)],[c_100,c_4604]) ).

tcf(c_6673,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0,X1))
      | ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(X1,sdtasdt0(xS,xS)) ),
    inference(global_subsumption_just,[status(thm)],[c_5638,c_82,c_78,c_141,c_167,c_4117,c_5638]) ).

tcf(c_6674,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sdtasdt0(xS,xS))
      | ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0,X1))
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(renaming,[status(thm)],[c_6673]) ).

tcf(c_6688,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtasdt0(xS,xS))
      | ~ aScalar0(sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(X1,sdtasdt0(xS,xS))
      | ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_141,c_6674]) ).

tcf(c_6712,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sdtasdt0(xS,xS))
      | ~ sdtlseqdt0(X0,sdtasdt0(xR,xR))
      | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_6688,c_82,c_78,c_167,c_4117,c_6688]) ).

tcf(c_6749,plain,
    ( ~ aScalar0(sz0z00)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00) ),
    inference(superposition,[status(thm)],[c_3070,c_6712]) ).

tcf(c_6779,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6749,c_147]) ).

tcf(c_7892,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(xR)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(X0,smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_89,c_146]) ).

tcf(c_8350,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(X0,smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7892,c_78]) ).

tcf(c_14515,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00)
    | ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)) ),
    inference(global_subsumption_just,[status(thm)],[c_6779,c_82,c_153,c_6779]) ).

tcf(c_14516,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00) ),
    inference(renaming,[status(thm)],[c_14515]) ).

tcf(c_14524,plain,
    ( ~ aScalar0(xR)
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00) ),
    inference(superposition,[status(thm)],[c_143,c_14516]) ).

tcf(c_14527,plain,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_14524,c_78]) ).

tcf(c_372945,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(xR)
    | ~ aScalar0(smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_88,c_104]) ).

tcf(c_372950,plain,
    ( aScalar0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_372945,c_78]) ).

tcf(c_372957,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[status(thm)],[c_67,c_105]) ).

tcf(c_372958,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(superposition,[status(thm)],[c_69,c_105]) ).

tcf(c_372961,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(forward_subsumption_resolution,[status(thm)],[c_372958,c_58]) ).

tcf(c_372962,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(forward_subsumption_resolution,[status(thm)],[c_372957,c_54]) ).

tcf(c_373157,plain,
    aScalar0(smndt0(xN)),
    inference(global_subsumption_just,[status(thm)],[c_372950,c_82,c_148,c_3185]) ).

tcf(c_373245,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(superposition,[status(thm)],[c_73,c_143]) ).

tcf(c_373246,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[status(thm)],[c_75,c_143]) ).

tcf(c_373250,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(forward_subsumption_resolution,[status(thm)],[c_373246,c_64]) ).

tcf(c_373251,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(forward_subsumption_resolution,[status(thm)],[c_373245,c_62]) ).

tcf(c_373320,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
      | ~ aScalar0(X0) ),
    inference(superposition,[status(thm)],[c_82,c_122]) ).

tcf(c_373538,plain,
    sdtpldt0(xC,sz0z00) = xC,
    inference(superposition,[status(thm)],[c_66,c_125]) ).

tcf(c_373539,plain,
    sdtpldt0(xD,sz0z00) = xD,
    inference(superposition,[status(thm)],[c_68,c_125]) ).

tcf(c_373541,plain,
    sdtpldt0(xF,sz0z00) = xF,
    inference(superposition,[status(thm)],[c_72,c_125]) ).

tcf(c_373542,plain,
    sdtpldt0(xG,sz0z00) = xG,
    inference(superposition,[status(thm)],[c_74,c_125]) ).

tcf(c_373547,plain,
    sdtpldt0(xN,sz0z00) = xN,
    inference(superposition,[status(thm)],[c_84,c_125]) ).

tcf(c_373551,plain,
    sdtpldt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_147,c_125]) ).

tcf(c_373614,plain,
    sdtpldt0(sz0z00,xC) = xC,
    inference(superposition,[status(thm)],[c_66,c_126]) ).

tcf(c_373615,plain,
    sdtpldt0(sz0z00,xD) = xD,
    inference(superposition,[status(thm)],[c_68,c_126]) ).

tcf(c_373617,plain,
    sdtpldt0(sz0z00,xF) = xF,
    inference(superposition,[status(thm)],[c_72,c_126]) ).

tcf(c_373618,plain,
    sdtpldt0(sz0z00,xG) = xG,
    inference(superposition,[status(thm)],[c_74,c_126]) ).

tcf(c_373669,plain,
    sdtasdt0(xS,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_82,c_127]) ).

tcf(c_373674,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_147,c_127]) ).

tcf(c_373766,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xC)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(xC)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xC) ),
    inference(superposition,[status(thm)],[c_373538,c_100]) ).

tcf(c_373767,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xC)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xC) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_373766,c_147,c_66]) ).

tcf(c_373794,plain,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(superposition,[status(thm)],[c_84,c_129]) ).

tcf(c_373933,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xD)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(xD)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xD) ),
    inference(superposition,[status(thm)],[c_373539,c_100]) ).

tcf(c_373934,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xD)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xD) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_373933,c_147,c_68]) ).

tcf(c_374337,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xF)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(xF)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xF) ),
    inference(superposition,[status(thm)],[c_373541,c_100]) ).

tcf(c_374338,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xF)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xF) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_374337,c_147,c_72]) ).

tcf(c_374351,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xG)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(xG)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xG) ),
    inference(superposition,[status(thm)],[c_373542,c_100]) ).

tcf(c_374352,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),xG)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,xG) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_374351,c_147,c_74]) ).

tcf(c_374868,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC) ),
    inference(superposition,[status(thm)],[c_79,c_145]) ).

tcf(c_374870,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ aScalar0(xF)
    | ~ aScalar0(xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(sz0z00,xD) ),
    inference(superposition,[status(thm)],[c_83,c_145]) ).

tcf(c_374881,plain,
    sdtlseqdt0(sz0z00,xS),
    inference(forward_subsumption_resolution,[status(thm)],[c_374870,c_72,c_68,c_373251,c_372961]) ).

tcf(c_374889,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(forward_subsumption_resolution,[status(thm)],[c_374868,c_74,c_66,c_373250,c_372962]) ).

tcf(c_375069,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(xN,sdtasdt0(X0,X1))
      | ~ aScalar0(xS)
      | ~ aScalar0(xR)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,xS)
      | ~ sdtlseqdt0(xS,X1)
      | ~ sdtlseqdt0(xR,X0) ),
    inference(superposition,[status(thm)],[c_85,c_146]) ).

tcf(c_375076,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),xR)
      | ~ aScalar0(xG)
      | ~ aScalar0(xC)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xG)
      | ~ sdtlseqdt0(X0,xC) ),
    inference(superposition,[status(thm)],[c_79,c_146]) ).

tcf(c_375078,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),xS)
      | ~ aScalar0(xF)
      | ~ aScalar0(xD)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xD)
      | ~ sdtlseqdt0(X0,xF) ),
    inference(superposition,[status(thm)],[c_83,c_146]) ).

tcf(c_375081,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(xR)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(X0,smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_89,c_146]) ).

tcf(c_375120,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),xS)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xD)
      | ~ sdtlseqdt0(X0,xF) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375078,c_72,c_68]) ).

tcf(c_375134,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),xR)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xG)
      | ~ sdtlseqdt0(X0,xC) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375076,c_74,c_66]) ).

tcf(c_375148,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(xN,sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(xS,X1)
      | ~ sdtlseqdt0(xR,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375069,c_82,c_78,c_374881]) ).

tcf(c_375187,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(smndt0(xS))
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(X0,smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375081,c_78]) ).

tcf(c_375952,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(xN,sdtpldt0(X0,X1))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(xN)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(xN,X0) ),
    inference(superposition,[status(thm)],[c_373547,c_100]) ).

tcf(c_375962,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(xN,sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(xN,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375952,c_147,c_84]) ).

tcf(c_375978,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,sz0z00) ),
    inference(superposition,[status(thm)],[c_373551,c_100]) ).

tcf(c_375981,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X1,sz0z00)
      | ~ sdtlseqdt0(X0,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_375978,c_147]) ).

tcf(c_380655,plain,
    sdtlseqdt0(xC,xC),
    inference(resolution,[status(thm)],[c_66,c_103]) ).

tcf(c_380730,plain,
    sdtlseqdt0(xD,xD),
    inference(resolution,[status(thm)],[c_68,c_103]) ).

tcf(c_380978,plain,
    sdtlseqdt0(xF,xF),
    inference(resolution,[status(thm)],[c_72,c_103]) ).

tcf(c_381274,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(sz0z00) ),
    inference(superposition,[status(thm)],[c_373674,c_143]) ).

tcf(c_381276,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_381274,c_147]) ).

tcf(c_381795,plain,
    sdtlseqdt0(xG,xG),
    inference(resolution,[status(thm)],[c_74,c_103]) ).

tcf(c_383478,plain,
    sdtasdt0(smndt0(xS),smndt0(sz0z00)) = sdtasdt0(xS,sz0z00),
    inference(superposition,[status(thm)],[c_147,c_373320]) ).

tcf(c_383487,plain,
    sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
    inference(light_normalisation,[status(thm)],[c_383478,c_196,c_373669]) ).

tcf(c_383572,plain,
    aScalar0(smndt0(xS)),
    inference(resolution,[status(thm)],[c_133,c_82]) ).

tcf(c_384582,plain,
    sdtlseqdt0(smndt0(xS),smndt0(xS)),
    inference(resolution,[status(thm)],[c_383572,c_103]) ).

tcf(c_396478,plain,
    ( sdtlseqdt0(xC,xC)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xC)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ sdtlseqdt0(xC,sz0z00) ),
    inference(superposition,[status(thm)],[c_373614,c_373767]) ).

tcf(c_396542,plain,
    ( sdtlseqdt0(xC,xC)
    | ~ sdtlseqdt0(xC,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_396478,c_147,c_66,c_372962]) ).

tcf(c_399357,plain,
    ( sdtlseqdt0(xD,xD)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xD)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(xD,sz0z00) ),
    inference(superposition,[status(thm)],[c_373615,c_373934]) ).

tcf(c_399419,plain,
    ( sdtlseqdt0(xD,xD)
    | ~ sdtlseqdt0(xD,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_399357,c_147,c_68,c_372961]) ).

tcf(c_411721,plain,
    sdtlseqdt0(xC,xC),
    inference(global_subsumption_just,[status(thm)],[c_396542,c_380655]) ).

tcf(c_412582,plain,
    ( sdtlseqdt0(xF,xF)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xF)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ sdtlseqdt0(xF,sz0z00) ),
    inference(superposition,[status(thm)],[c_373617,c_374338]) ).

tcf(c_412636,plain,
    ( sdtlseqdt0(xF,xF)
    | ~ sdtlseqdt0(xF,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_412582,c_147,c_72,c_373251]) ).

tcf(c_413237,plain,
    ( sdtlseqdt0(xG,xG)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(xG)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(xG,sz0z00) ),
    inference(superposition,[status(thm)],[c_373618,c_374352]) ).

tcf(c_413287,plain,
    ( sdtlseqdt0(xG,xG)
    | ~ sdtlseqdt0(xG,sz0z00) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_413237,c_147,c_74,c_373250]) ).

tcf(c_424137,plain,
    sdtlseqdt0(xD,xD),
    inference(global_subsumption_just,[status(thm)],[c_399419,c_380730]) ).

tcf(c_431738,plain,
    sdtlseqdt0(xF,xF),
    inference(global_subsumption_just,[status(thm)],[c_412636,c_380978]) ).

tcf(c_435344,plain,
    sdtlseqdt0(xG,xG),
    inference(global_subsumption_just,[status(thm)],[c_413287,c_381795]) ).

tcf(c_439906,plain,
    ( sdtlseqdt0(xS,xS)
    | ~ aScalar0(xF)
    | ~ aScalar0(xD)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(xF,xF)
    | ~ sdtlseqdt0(xD,xD) ),
    inference(superposition,[status(thm)],[c_83,c_375120]) ).

tcf(c_439976,plain,
    sdtlseqdt0(xS,xS),
    inference(forward_subsumption_resolution,[status(thm)],[c_439906,c_72,c_68,c_372961,c_431738,c_424137]) ).

tcf(c_440624,plain,
    ( sdtlseqdt0(xR,xR)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(xG,xG)
    | ~ sdtlseqdt0(xC,xC) ),
    inference(superposition,[status(thm)],[c_79,c_375134]) ).

tcf(c_440705,plain,
    sdtlseqdt0(xR,xR),
    inference(forward_subsumption_resolution,[status(thm)],[c_440624,c_74,c_66,c_373250,c_435344,c_411721]) ).

tcf(c_441360,plain,
    ( sdtlseqdt0(xN,xN)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | ~ sdtlseqdt0(xS,xS)
    | ~ sdtlseqdt0(xR,xR) ),
    inference(superposition,[status(thm)],[c_85,c_375148]) ).

tcf(c_441500,plain,
    sdtlseqdt0(xN,xN),
    inference(forward_subsumption_resolution,[status(thm)],[c_441360,c_82,c_78,c_439976,c_440705]) ).

tcf(c_443880,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(X0,smndt0(xS))
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(sz0z00,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_375187,c_82,c_148,c_8350]) ).

tcf(c_443881,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(sdtasdt0(X0,X1),smndt0(xN))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | ~ sdtlseqdt0(sz0z00,X1)
      | ~ sdtlseqdt0(X1,xR)
      | ~ sdtlseqdt0(X0,smndt0(xS)) ),
    inference(renaming,[status(thm)],[c_443880]) ).

tcf(c_443919,plain,
    ( sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(smndt0(xS))
    | ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
    inference(superposition,[status(thm)],[c_383487,c_443881]) ).

tcf(c_444127,plain,
    ( sdtlseqdt0(sz0z00,smndt0(xN))
    | ~ aScalar0(smndt0(xS))
    | ~ sdtlseqdt0(smndt0(xS),smndt0(xS)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_443919,c_147,c_381276,c_374889]) ).

tcf(c_460894,plain,
    ( sdtlseqdt0(xN,sz0z00)
    | ~ aScalar0(xN)
    | ~ aScalar0(smndt0(xN))
    | ~ sdtlseqdt0(xN,xN)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(superposition,[status(thm)],[c_373794,c_375962]) ).

tcf(c_460978,plain,
    ( sdtlseqdt0(xN,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_460894,c_84,c_373157,c_441500]) ).

tcf(c_461370,plain,
    ( ~ aScalar0(xN)
    | ~ sdtlseqdt0(xN,sz0z00) ),
    inference(superposition,[status(thm)],[c_375981,c_14527]) ).

tcf(c_461371,plain,
    ~ sdtlseqdt0(xN,sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_461370,c_84]) ).

tcf(c_461404,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_461371,c_460978,c_444127,c_384582,c_148,c_82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : RNG064+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32  % Computer : n012.cluster.edu
% 0.04/0.32  % Model    : x86_64 x86_64
% 0.04/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32  % Memory   : 8046.5625MB
% 0.04/0.32  % OS       : Linux 6.8.0-71-generic
% 0.04/0.32  % CPULimit : 300
% 0.04/0.32  % WCLimit  : 300
% 0.04/0.32  % DateTime : Thu Sep 24 08:02:20 UTC 2026
% 0.04/0.32  % CPUTime  : 
% 0.04/0.32  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34  Running first-order theorem proving
% 0.08/0.34  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  
% 0.08/0.35  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.35  
% 0.08/0.35  % Detected problem language: tptp
% 0.08/0.36  % Proving...
% 131.91/29.41  % SZS status Started for theBenchmark.p
% 131.91/29.41  % SZS status Theorem for theBenchmark.p
% 131.91/29.41  
% 131.91/29.41  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 131.91/29.41  
% 131.91/29.41  % ------  iProver source info
% 131.91/29.41  
% 131.91/29.41  % git: date: 2026-07-19 20:42:38 +0200
% 131.91/29.41  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 131.91/29.41  % git: non_committed_changes: false
% 131.91/29.41  
% 131.91/29.41  % ------ Parsing...
% 131.91/29.41  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 131.91/29.41  
% 131.91/29.41  % ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 131.91/29.41  
% 131.91/29.41  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 131.91/29.41  
% 131.91/29.41  % ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 131.91/29.41  % ------ Proving...
% 131.91/29.41  % ------ Problem Properties 
% 131.91/29.41  
% 131.91/29.41  % 
% 131.91/29.41  % clauses                               101
% 131.91/29.41  % conjectures                           1
% 131.91/29.41  % EPR                                   25
% 131.91/29.41  % Horn                                  89
% 131.91/29.41  % unary                                 48
% 131.91/29.41  % binary                                19
% 131.91/29.41  % lits                                  235
% 131.91/29.41  % lits eq                               78
% 131.91/29.41  % fd_pure                               0
% 131.91/29.41  % fd_pseudo                             0
% 131.91/29.41  % fd_cond                               1
% 131.91/29.41  % fd_pseudo_cond                        5
% 131.91/29.41  % AC symbols                            0
% 131.91/29.41  
% 131.91/29.41  % ------ Schedule dynamic 5 is on 
% 131.91/29.41  
% 131.91/29.41  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % ------ 
% 131.91/29.41  % Current options:
% 131.91/29.41  % ------ 
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % 
% 131.91/29.41  
% 131.91/29.41  % ------ Proving...
% 131.91/29.41  % Proof_search_loop: time out after: 3810 full_loop iterations
% 131.91/29.41  
% 131.91/29.41  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % ------ 
% 131.91/29.41  % Current options:
% 131.91/29.41  % ------ 
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % 
% 131.91/29.41  
% 131.91/29.41  % ------ Proving...
% 131.91/29.41  % Proof_search_loop: time out after: 8117 full_loop iterations
% 131.91/29.41  
% 131.91/29.41  % ------ Option_1: Negative Selections Time Limit: 35.
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % ------ 
% 131.91/29.41  % Current options:
% 131.91/29.41  % ------ 
% 131.91/29.41  
% 131.91/29.41  
% 131.91/29.41  % 
% 131.91/29.41  
% 131.91/29.41  % ------ Proving...
% 131.91/29.41  % 
% 131.91/29.41  
% 131.91/29.41  % SZS status Theorem for theBenchmark.p
% 131.91/29.41  
% 131.91/29.41  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 131.91/29.42  
% 131.91/29.42  
%------------------------------------------------------------------------------