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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : RNG049+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Apr  9 08:31:23 PM UTC 2025

% Result   : Theorem 209.06s 153.99s
% Output   : CNFRefutation 209.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   66 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  172 (  31 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  177 (  71   ~;  62   |;  25   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xs > sz0z00 > sz00 > #skF_1 > #skF_2

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(sdtasdt0,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(szszuzczcdt0,type,
    szszuzczcdt0: $i > $i ).

tff(sdtlbdtrb0,type,
    sdtlbdtrb0: ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(sziznziztdt0,type,
    sziznziztdt0: $i > $i ).

tff(sdtlseqdt0,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(sz00,type,
    sz00: $i ).

tff(sdtpldt0,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(aDimensionOf0,type,
    aDimensionOf0: $i > $i ).

tff(aNaturalNumber0,type,
    aNaturalNumber0: $i > $o ).

tff(sz0z00,type,
    sz0z00: $i ).

tff(smndt0,type,
    smndt0: $i > $i ).

tff(aScalar0,type,
    aScalar0: $i > $o ).

tff(xs,type,
    xs: $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(sdtasasdt0,type,
    sdtasasdt0: ( $i * $i ) > $i ).

tff(iLess0,type,
    iLess0: ( $i * $i ) > $o ).

tff(aVector0,type,
    aVector0: $i > $o ).

tff(f_366,hypothesis,
    ( aVector0(sziznziztdt0(xs))
    & ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) )
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => ( sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) )
    & aVector0(sziznziztdt0(xs))
    & ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) )
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => ( sdtlbdtrb0(sziznziztdt0(xs),W0) = sdtlbdtrb0(xs,W0) ) )
    & sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1590) ).

tff(f_300,axiom,
    ! [W0,W1] :
      ( ( aVector0(W0)
        & aVector0(W1) )
     => ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
       => aScalar0(sdtasasdt0(W0,W1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).

tff(f_330,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542_01) ).

tff(f_368,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

tff(f_70,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

tff(f_104,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => ( ( sdtpldt0(W0,sz0z00) = W0 )
        & ( sdtpldt0(sz0z00,W0) = W0 )
        & ( sdtasdt0(W0,sz0z00) = sz0z00 )
        & ( sdtasdt0(sz0z00,W0) = sz0z00 )
        & ( sdtpldt0(W0,smndt0(W0)) = sz0z00 )
        & ( sdtpldt0(smndt0(W0),W0) = sz0z00 )
        & ( smndt0(smndt0(W0)) = W0 )
        & ( smndt0(sz0z00) = sz0z00 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).

tff(f_239,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

tff(f_322,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).

tff(f_258,axiom,
    ! [W0] :
      ( aVector0(W0)
     => aNaturalNumber0(aDimensionOf0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).

tff(f_37,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => ( aNaturalNumber0(szszuzczcdt0(W0))
        & ( szszuzczcdt0(W0) != sz00 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).

tff(f_264,axiom,
    ! [W0,W1] :
      ( ( aVector0(W0)
        & aNaturalNumber0(W1) )
     => aScalar0(sdtlbdtrb0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).

tff(f_82,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => aScalar0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

tff(f_185,axiom,
    ! [W0,W1,W2] :
      ( ( aScalar0(W0)
        & aScalar0(W1)
        & aScalar0(W2) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W2) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

tff(f_66,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => iLess0(W0,szszuzczcdt0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).

tff(f_328,hypothesis,
    ! [W0] :
      ( aVector0(W0)
     => ( iLess0(aDimensionOf0(W0),aDimensionOf0(xs))
       => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1516) ).

tff(f_321,axiom,
    ! [W0,W1] :
      ( ( aVector0(W0)
        & aVector0(W1) )
     => ( ( ( aDimensionOf0(W0) = aDimensionOf0(W1) )
          & ( aDimensionOf0(W1) != sz00 ) )
       => ( sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).

tff(f_235,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( ( sdtlseqdt0(sz0z00,W0)
          & sdtlseqdt0(sz0z00,W1) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
          & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

tff(c_142,plain,
    aVector0(sziznziztdt0(xs)),
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_106,plain,
    ! [W0_70,W1_71] :
      ( aScalar0(sdtasasdt0(W0_70,W1_71))
      | ( aDimensionOf0(W1_71) != aDimensionOf0(W0_70) )
      | ~ aVector0(W1_71)
      | ~ aVector0(W0_70) ),
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_116,plain,
    aDimensionOf0(xs) != sz00,
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_144,plain,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnfTransformation,[status(thm)],[f_368]) ).

tff(c_22,plain,
    aScalar0(sz0z00),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_229,plain,
    ! [W0_89] :
      ( ( sdtasdt0(sz0z00,W0_89) = sz0z00 )
      | ~ aScalar0(W0_89) ),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_237,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(resolution,[status(thm)],[c_22,c_229]) ).

tff(c_312,plain,
    ! [W0_97] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_97,W0_97))
      | ~ aScalar0(W0_97) ),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_315,plain,
    ( sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(sz0z00) ),
    inference(superposition,[status(thm),theory(equality)],[c_237,c_312]) ).

tff(c_317,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_315]) ).

tff(c_112,plain,
    aVector0(xs),
    inference(cnfTransformation,[status(thm)],[f_322]) ).

tff(c_90,plain,
    ! [W0_55] :
      ( aNaturalNumber0(aDimensionOf0(W0_55))
      | ~ aVector0(W0_55) ),
    inference(cnfTransformation,[status(thm)],[f_258]) ).

tff(c_140,plain,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_8,plain,
    ! [W0_2] :
      ( aNaturalNumber0(szszuzczcdt0(W0_2))
      | ~ aNaturalNumber0(W0_2) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_259,plain,
    ( aNaturalNumber0(aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(superposition,[status(thm),theory(equality)],[c_140,c_8]) ).

tff(c_318,plain,
    ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
    inference(splitLeft,[status(thm)],[c_259]) ).

tff(c_321,plain,
    ~ aVector0(sziznziztdt0(xs)),
    inference(resolution,[status(thm)],[c_90,c_318]) ).

tff(c_325,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_321]) ).

tff(c_326,plain,
    aNaturalNumber0(aDimensionOf0(xs)),
    inference(splitRight,[status(thm)],[c_259]) ).

tff(c_508,plain,
    ! [W0_110] :
      ( ( sdtlbdtrb0(sziznziztdt0(xs),W0_110) = sdtlbdtrb0(xs,W0_110) )
      | ~ aNaturalNumber0(W0_110) ),
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_92,plain,
    ! [W0_56,W1_57] :
      ( aScalar0(sdtlbdtrb0(W0_56,W1_57))
      | ~ aNaturalNumber0(W1_57)
      | ~ aVector0(W0_56) ),
    inference(cnfTransformation,[status(thm)],[f_264]) ).

tff(c_514,plain,
    ! [W0_110] :
      ( aScalar0(sdtlbdtrb0(xs,W0_110))
      | ~ aNaturalNumber0(W0_110)
      | ~ aVector0(sziznziztdt0(xs))
      | ~ aNaturalNumber0(W0_110) ),
    inference(superposition,[status(thm),theory(equality)],[c_508,c_92]) ).

tff(c_520,plain,
    ! [W0_110] :
      ( aScalar0(sdtlbdtrb0(xs,W0_110))
      | ~ aNaturalNumber0(W0_110) ),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_514]) ).

tff(c_26,plain,
    ! [W0_13,W1_14] :
      ( aScalar0(sdtasdt0(W0_13,W1_14))
      | ~ aScalar0(W1_14)
      | ~ aScalar0(W0_13) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_130,plain,
    sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_3826,plain,
    ! [W0_190,W2_191,W1_192] :
      ( sdtlseqdt0(W0_190,W2_191)
      | ~ sdtlseqdt0(W1_192,W2_191)
      | ~ sdtlseqdt0(W0_190,W1_192)
      | ~ aScalar0(W2_191)
      | ~ aScalar0(W1_192)
      | ~ aScalar0(W0_190) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_3834,plain,
    ! [W0_190] :
      ( sdtlseqdt0(W0_190,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
      | ~ sdtlseqdt0(W0_190,sz0z00)
      | ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(W0_190) ),
    inference(resolution,[status(thm)],[c_130,c_3826]) ).

tff(c_3856,plain,
    ! [W0_190] :
      ( sdtlseqdt0(W0_190,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
      | ~ sdtlseqdt0(W0_190,sz0z00)
      | ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
      | ~ aScalar0(W0_190) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_3834]) ).

tff(c_207482,plain,
    ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
    inference(splitLeft,[status(thm)],[c_3856]) ).

tff(c_207486,plain,
    ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))),
    inference(resolution,[status(thm)],[c_26,c_207482]) ).

tff(c_207489,plain,
    ~ aNaturalNumber0(aDimensionOf0(xs)),
    inference(resolution,[status(thm)],[c_520,c_207486]) ).

tff(c_207496,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_326,c_207489]) ).

tff(c_207498,plain,
    aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
    inference(splitRight,[status(thm)],[c_3856]) ).

tff(c_327,plain,
    aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
    inference(splitRight,[status(thm)],[c_259]) ).

tff(c_18,plain,
    ! [W0_9] :
      ( iLess0(W0_9,szszuzczcdt0(W0_9))
      | ~ aNaturalNumber0(W0_9) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_256,plain,
    ( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
    inference(superposition,[status(thm),theory(equality)],[c_140,c_18]) ).

tff(c_855,plain,
    iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs)),
    inference(demodulation,[status(thm),theory(equality)],[c_327,c_256]) ).

tff(c_1277,plain,
    ! [W0_143] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(W0_143,W0_143))
      | ~ iLess0(aDimensionOf0(W0_143),aDimensionOf0(xs))
      | ~ aVector0(W0_143) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_1279,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
    | ~ aVector0(sziznziztdt0(xs)) ),
    inference(resolution,[status(thm)],[c_855,c_1277]) ).

tff(c_1282,plain,
    sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_1279]) ).

tff(c_207497,plain,
    ! [W0_190] :
      ( sdtlseqdt0(W0_190,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
      | ~ sdtlseqdt0(W0_190,sz0z00)
      | ~ aScalar0(W0_190) ),
    inference(splitRight,[status(thm)],[c_3856]) ).

tff(c_8233,plain,
    ! [W0_250,W1_251] :
      ( ( sdtpldt0(sdtasasdt0(sziznziztdt0(W0_250),sziznziztdt0(W1_251)),sdtasdt0(sdtlbdtrb0(W0_250,aDimensionOf0(W0_250)),sdtlbdtrb0(W1_251,aDimensionOf0(W1_251)))) = sdtasasdt0(W0_250,W1_251) )
      | ( aDimensionOf0(W1_251) = sz00 )
      | ( aDimensionOf0(W1_251) != aDimensionOf0(W0_250) )
      | ~ aVector0(W1_251)
      | ~ aVector0(W0_250) ),
    inference(cnfTransformation,[status(thm)],[f_321]) ).

tff(c_82,plain,
    ! [W0_49,W1_50] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(W0_49,W1_50))
      | ~ sdtlseqdt0(sz0z00,W1_50)
      | ~ sdtlseqdt0(sz0z00,W0_49)
      | ~ aScalar0(W1_50)
      | ~ aScalar0(W0_49) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_757021,plain,
    ! [W0_1544,W1_1545] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(W0_1544,W1_1545))
      | ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(W0_1544,aDimensionOf0(W0_1544)),sdtlbdtrb0(W1_1545,aDimensionOf0(W1_1545))))
      | ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(W0_1544),sziznziztdt0(W1_1545)))
      | ~ aScalar0(sdtasdt0(sdtlbdtrb0(W0_1544,aDimensionOf0(W0_1544)),sdtlbdtrb0(W1_1545,aDimensionOf0(W1_1545))))
      | ~ aScalar0(sdtasasdt0(sziznziztdt0(W0_1544),sziznziztdt0(W1_1545)))
      | ( aDimensionOf0(W1_1545) = sz00 )
      | ( aDimensionOf0(W1_1545) != aDimensionOf0(W0_1544) )
      | ~ aVector0(W1_1545)
      | ~ aVector0(W0_1544) ),
    inference(superposition,[status(thm),theory(equality)],[c_8233,c_82]) ).

tff(c_757025,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
    | ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
    | ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
    | ( aDimensionOf0(xs) = sz00 )
    | ~ aVector0(xs)
    | ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ aScalar0(sz0z00) ),
    inference(resolution,[status(thm)],[c_207497,c_757021]) ).

tff(c_757097,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
    | ( aDimensionOf0(xs) = sz00 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_317,c_112,c_207498,c_1282,c_757025]) ).

tff(c_757098,plain,
    ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
    inference(negUnitSimplification,[status(thm)],[c_116,c_144,c_757097]) ).

tff(c_757127,plain,
    ~ aVector0(sziznziztdt0(xs)),
    inference(resolution,[status(thm)],[c_106,c_757098]) ).

tff(c_757135,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_757127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : RNG049+2 : TPTP v9.0.0. Released v4.0.0.
% 0.05/0.10  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.30  % Computer : n024.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Apr  8 18:32:21 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 209.06/153.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 209.06/154.00  
% 209.06/154.00  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------