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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : NUM513+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 : Sun Sep 27 08:17:14 AM UTC 2026

% Result   : Theorem 135.25s 18.62s
% Output   : CNFRefutation 135.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   85 (  34 unt;   0 def)
%            Number of atoms       :  220 (  92 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  231 (  96   ~; 109   |;  15   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mSortsB_02,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W1)
        & aNaturalNumber0(W0) )
     => aNaturalNumber0(sdtasdt0(W0,W1)) ),
    file('theBenchmark.p',mSortsB_02) ).

fof(mMulComm,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W1)
        & aNaturalNumber0(W0) )
     => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
    file('theBenchmark.p',mMulComm) ).

fof(mDefQuot,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W1)
        & aNaturalNumber0(W0) )
     => ( ( doDivides0(W0,W1)
          & W0 != sz00 )
       => ! [W2] :
            ( W2 = sdtsldt0(W1,W0)
          <=> ( W1 = sdtasdt0(W0,W2)
              & aNaturalNumber0(W2) ) ) ) ),
    file('theBenchmark.p',mDefQuot) ).

fof(mDivAsso,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W1)
        & aNaturalNumber0(W0) )
     => ( ( doDivides0(W0,W1)
          & W0 != sz00 )
       => ! [W2] :
            ( aNaturalNumber0(W2)
           => sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) ) ),
    file('theBenchmark.p',mDivAsso) ).

fof(mDefPrime,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => ( isPrime0(W0)
      <=> ( ! [W1] :
              ( ( doDivides0(W1,W0)
                & aNaturalNumber0(W1) )
             => ( W1 = W0
                | W1 = sz10 ) )
          & W0 != sz10
          & W0 != sz00 ) ) ),
    file('theBenchmark.p',mDefPrime) ).

fof(m__1837,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('theBenchmark.p',m__1837) ).

fof(m__1860,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & isPrime0(xp) ),
    file('theBenchmark.p',m__1860) ).

fof(m__2342,axiom,
    ( isPrime0(xr)
    & doDivides0(xr,xk)
    & aNaturalNumber0(xr) ),
    file('theBenchmark.p',m__2342) ).

fof(m__,conjecture,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
    file('theBenchmark.p',m__) ).

fof(m___neg,negated_conjecture,
    sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_53,plain,
    ( sz00 != A
    | ~ isPrime0(A)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mDefPrime]) ).

cnf(c_59,plain,
    isPrime0(xp),
    inference(clausify,[status(thm)],[m__1860]) ).

cnf(c_60,plain,
    isPrime0(xr),
    inference(clausify,[status(thm)],[m__2342]) ).

cnf(c_61,plain,
    ( sz00 != xr
    | ~ aNaturalNumber0(xr) ),
    inference(resolve,[status(thm)],[c_60,c_53]) ).

cnf(c_62,plain,
    ( xr != sz00
    | ~ aNaturalNumber0(xr) ),
    inference(copy,[status(thm)],[c_61]) ).

cnf(c_68,plain,
    ( sz00 != xp
    | ~ aNaturalNumber0(xp) ),
    inference(resolve,[status(thm)],[c_59,c_53]) ).

cnf(c_69,plain,
    ( xp != sz00
    | ~ aNaturalNumber0(xp) ),
    inference(copy,[status(thm)],[c_68]) ).

cnf(c_98,negated_conjecture,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(clausify,[status(thm)],[m___neg]) ).

cnf(c_99,negated_conjecture,
    sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(copy,[status(thm)],[c_98]) ).

fof(m__2487,axiom,
    doDivides0(xr,xn),
    file('theBenchmark.p',m__2487) ).

cnf(c_104,plain,
    doDivides0(xr,xn),
    inference(clausify,[status(thm)],[m__2487]) ).

cnf(c_109,plain,
    doDivides0(xr,xk),
    inference(clausify,[status(thm)],[m__2342]) ).

cnf(c_110,plain,
    aNaturalNumber0(xr),
    inference(clausify,[status(thm)],[m__2342]) ).

fof(m__2306,axiom,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('theBenchmark.p',m__2306) ).

cnf(c_113,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(clausify,[status(thm)],[m__2306]) ).

cnf(c_122,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(clausify,[status(thm)],[m__1860]) ).

cnf(c_123,plain,
    aNaturalNumber0(xp),
    inference(clausify,[status(thm)],[m__1837]) ).

cnf(c_124,plain,
    aNaturalNumber0(xm),
    inference(clausify,[status(thm)],[m__1837]) ).

cnf(c_125,plain,
    aNaturalNumber0(xn),
    inference(clausify,[status(thm)],[m__1837]) ).

cnf(c_128,plain,
    ( sdtsldt0(sdtasdt0(C,B),A) = sdtasdt0(C,sdtsldt0(B,A))
    | ~ aNaturalNumber0(C)
    | ~ doDivides0(A,B)
    | sz00 = A
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mDivAsso]) ).

cnf(c_135,plain,
    ( sdtasdt0(A,C) = B
    | sdtsldt0(B,A) != C
    | ~ doDivides0(A,B)
    | sz00 = A
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mDefQuot]) ).

cnf(c_136,plain,
    ( aNaturalNumber0(C)
    | sdtsldt0(B,A) != C
    | ~ doDivides0(A,B)
    | sz00 = A
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mDefQuot]) ).

cnf(c_178,plain,
    ( sdtasdt0(B,A) = sdtasdt0(A,B)
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mMulComm]) ).

cnf(c_183,plain,
    ( aNaturalNumber0(sdtasdt0(A,B))
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(clausify,[status(thm)],[mSortsB_02]) ).

cnf(c_217,plain,
    xr != sz00,
    inference(resolve,[status(thm)],[c_110,c_62]) ).

cnf(c_220,plain,
    doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(paramod,[status(thm)],[c_113,c_109]) ).

cnf(c_225,negated_conjecture,
    sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(paramod,[status(thm)],[c_113,c_99]) ).

cnf(c_229,plain,
    xp != sz00,
    inference(resolve,[status(thm)],[c_123,c_69]) ).

cnf(c_566,plain,
    ( sdtsldt0(sdtasdt0(xp,B),A) = sdtasdt0(xp,sdtsldt0(B,A))
    | ~ doDivides0(A,B)
    | sz00 = A
    | ~ aNaturalNumber0(B)
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_128,c_123]) ).

cnf(c_9017,plain,
    ( sdtsldt0(sdtasdt0(B,A),xr) = sdtasdt0(B,sdtsldt0(A,xr))
    | ~ aNaturalNumber0(B)
    | ~ doDivides0(xr,A)
    | sz00 = xr
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_128,c_110]) ).

cnf(c_9018,plain,
    ( sdtsldt0(sdtasdt0(A,xn),xr) = sdtasdt0(A,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(A)
    | ~ doDivides0(xr,xn)
    | sz00 = xr ),
    inference(resolve,[status(thm)],[c_9017,c_125]) ).

cnf(c_9019,plain,
    ( sdtsldt0(sdtasdt0(A,xn),xr) = sdtasdt0(A,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(A)
    | sz00 = xr ),
    inference(resolve,[status(thm)],[c_9018,c_104]) ).

cnf(c_9020,plain,
    ( sdtsldt0(sdtasdt0(xm,xn),xr) = sdtasdt0(xm,sdtsldt0(xn,xr))
    | sz00 = xr ),
    inference(resolve,[status(thm)],[c_9019,c_124]) ).

cnf(c_9021,plain,
    ( sdtsldt0(sdtasdt0(xm,xn),xr) = sdtasdt0(xm,sdtsldt0(xn,xr))
    | xr = sz00 ),
    inference(copy,[status(thm)],[c_9020]) ).

cnf(c_569,plain,
    sdtsldt0(sdtasdt0(xm,xn),xr) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(resolve,[status(thm)],[c_217,c_9021]) ).

cnf(c_9022,plain,
    sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
    inference(copy,[status(thm)],[c_113]) ).

cnf(c_9023,plain,
    ( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(resolve,[status(thm)],[c_135,c_9022]) ).

cnf(c_9024,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(paramod,[status(thm)],[c_113,c_9023]) ).

cnf(c_9025,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | xp = sz00
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(copy,[status(thm)],[c_9024]) ).

cnf(c_9026,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | xp = sz00
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_123,c_9025]) ).

cnf(c_9027,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_229,c_9026]) ).

cnf(c_729,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_122,c_9027]) ).

cnf(c_9028,plain,
    sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
    inference(copy,[status(thm)],[c_113]) ).

cnf(c_9029,plain,
    ( aNaturalNumber0(xk)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(resolve,[status(thm)],[c_136,c_9028]) ).

cnf(c_9030,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(paramod,[status(thm)],[c_113,c_9029]) ).

cnf(c_9031,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | xp = sz00
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(copy,[status(thm)],[c_9030]) ).

cnf(c_9032,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | xp = sz00
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_123,c_9031]) ).

cnf(c_9033,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_229,c_9032]) ).

cnf(c_745,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(resolve,[status(thm)],[c_122,c_9033]) ).

cnf(c_9034,plain,
    ( aNaturalNumber0(B)
    | sdtsldt0(A,xr) != B
    | ~ doDivides0(xr,A)
    | sz00 = xr
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_136,c_110]) ).

cnf(c_9035,plain,
    ( aNaturalNumber0(A)
    | sdtsldt0(xn,xr) != A
    | ~ doDivides0(xr,xn)
    | sz00 = xr ),
    inference(resolve,[status(thm)],[c_9034,c_125]) ).

cnf(c_9036,plain,
    ( aNaturalNumber0(A)
    | sdtsldt0(xn,xr) != A
    | sz00 = xr ),
    inference(resolve,[status(thm)],[c_9035,c_104]) ).

cnf(c_9037,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    | sz00 = xr ),
    inference(xxres,[status(thm)],[c_9036]) ).

cnf(c_9038,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    | xr = sz00 ),
    inference(copy,[status(thm)],[c_9037]) ).

cnf(c_747,plain,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(resolve,[status(thm)],[c_217,c_9038]) ).

cnf(c_9039,plain,
    ( sdtasdt0(A,xn) = sdtasdt0(xn,A)
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_178,c_125]) ).

cnf(c_1474,plain,
    sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
    inference(resolve,[status(thm)],[c_9039,c_124]) ).

cnf(c_1504,plain,
    sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(paramod,[status(thm)],[c_1474,c_569]) ).

cnf(c_9040,plain,
    ( aNaturalNumber0(sdtasdt0(xn,A))
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_183,c_125]) ).

cnf(c_2164,plain,
    aNaturalNumber0(sdtasdt0(xn,xm)),
    inference(resolve,[status(thm)],[c_9040,c_124]) ).

cnf(c_2185,plain,
    aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(resolve,[status(thm)],[c_2164,c_745]) ).

cnf(c_2187,plain,
    sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm),
    inference(resolve,[status(thm)],[c_2164,c_729]) ).

cnf(c_9041,plain,
    ( sdtsldt0(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),xr) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(resolve,[status(thm)],[c_566,c_220]) ).

cnf(c_9042,plain,
    ( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(paramod,[status(thm)],[c_2187,c_9041]) ).

cnf(c_9043,plain,
    ( sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(paramod,[status(thm)],[c_1504,c_9042]) ).

cnf(c_9044,plain,
    ( sdtasdt0(xm,sdtsldt0(xn,xr)) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | xr = sz00
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(copy,[status(thm)],[c_9043]) ).

cnf(c_9045,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)) = sdtasdt0(xm,sdtsldt0(xn,xr))
    | xr = sz00
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(copy,[status(thm)],[c_9044]) ).

cnf(c_9046,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)) = sdtasdt0(xm,sdtsldt0(xn,xr))
    | xr = sz00
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
    inference(resolve,[status(thm)],[c_110,c_9045]) ).

cnf(c_9047,plain,
    ( sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)) = sdtasdt0(xm,sdtsldt0(xn,xr))
    | xr = sz00 ),
    inference(resolve,[status(thm)],[c_2185,c_9046]) ).

cnf(c_8254,plain,
    sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(resolve,[status(thm)],[c_217,c_9047]) ).

cnf(c_9048,negated_conjecture,
    sdtasdt0(xm,sdtsldt0(xn,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(paramod,[status(thm)],[c_8254,c_225]) ).

cnf(c_8256,negated_conjecture,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(copy,[status(thm)],[c_9048]) ).

cnf(c_9049,plain,
    ( sdtasdt0(A,xm) = sdtasdt0(xm,A)
    | ~ aNaturalNumber0(A) ),
    inference(resolve,[status(thm)],[c_178,c_124]) ).

cnf(c_9050,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xm,sdtsldt0(xn,xr)),
    inference(resolve,[status(thm)],[c_9049,c_747]) ).

cnf(c_9016,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_8256,c_9050]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM513+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n001.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep 26 03:09:57 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38  % Process 758419 was started by sandbox on n001,
% 0.10/0.38  % Sat Sep 26 03:09:57 2026
% 0.10/0.38  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.39  
% 0.10/0.39  % From the command line: assign(max_seconds, 300).
% 135.25/18.62  
% 135.25/18.62  % SZS status Theorem for theBenchmark
% 135.25/18.62  
% 135.25/18.62  % Proof 1 at 1.77 (+ 0.33) seconds.
% 135.25/18.62  % Length of proof is 48.
% 135.25/18.62  % Level of proof is 9.
% 135.25/18.62  % Maximum clause weight is 45.000.
% 135.25/18.62  % Given clauses 425.
% 135.25/18.62  
% 135.25/18.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------