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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : NUM590+1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n028.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 07:56:31 PM UTC 2025

% Result   : Theorem 23.86s 9.52s
% Output   : CNFRefutation 23.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   70 (  28 unt;   0 typ;   4 def)
%            Number of atoms       :  159 (  25 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  160 (  71   ~;  61   |;  12   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;  13 con; 0-4 aty)
%            Number of variables   :   50 (  49   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xk > xi > xd > xc > xY > xT > xS > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_23 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_24 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_21 > #skF_9 > #skF_22 > #skF_16

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(xk,type,
    xk: $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i ) > $i ).

tff(sbrdtbr0,type,
    sbrdtbr0: $i > $i ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i ) > $i ).

tff(aSet0,type,
    aSet0: $i > $o ).

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

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

tff(szDzozmdt0,type,
    szDzozmdt0: $i > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

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

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i ) > $i ).

tff(sdtmndt0,type,
    sdtmndt0: ( $i * $i ) > $i ).

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

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i ) > $i ).

tff(aElement0,type,
    aElement0: $i > $o ).

tff(sdtexdt0,type,
    sdtexdt0: ( $i * $i ) > $i ).

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

tff(szNzAzT0,type,
    szNzAzT0: $i ).

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

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

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

tff(sdtlpdtrp0,type,
    sdtlpdtrp0: ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i ) > $i ).

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

tff('#skF_12',type,
    '#skF_12': ( $i * $i ) > $i ).

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

tff(slbdtsldtrb0,type,
    slbdtsldtrb0: ( $i * $i ) > $i ).

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

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i ) > $i ).

tff(aSubsetOf0,type,
    aSubsetOf0: ( $i * $i ) > $o ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i ) > $i ).

tff(isCountable0,type,
    isCountable0: $i > $o ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

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

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

tff(aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

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

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i ) > $i ).

tff(szDzizrdt0,type,
    szDzizrdt0: $i > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff(slcrc0,type,
    slcrc0: $i ).

tff(aFunction0,type,
    aFunction0: $i > $o ).

tff(isFinite0,type,
    isFinite0: $i > $o ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i ) > $i ).

tff(sdtlcdtrc0,type,
    sdtlcdtrc0: ( $i * $i ) > $i ).

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

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

tff(szmzizndt0,type,
    szmzizndt0: $i > $i ).

tff(szmzazxdt0,type,
    szmzazxdt0: $i > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i ) > $i ).

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

tff('#skF_9',type,
    '#skF_9': ( $i * $i ) > $i ).

tff(slbdtrb0,type,
    slbdtrb0: $i > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff(f_799,negated_conjecture,
    ~ aSubsetOf0(xY,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_211,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

tff(f_52,definition,
    ! [W0] :
      ( ( W0 = slcrc0 )
    <=> ( aSet0(W0)
        & ~ ? [W1] : aElementOf0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

tff(f_72,axiom,
    ! [W0] :
      ( ( aSet0(W0)
        & isCountable0(W0) )
     => ( W0 != slcrc0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).

tff(f_794,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448) ).

tff(f_330,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ( ( sbrdtbr0(W0) = sz00 )
      <=> ( W0 = slcrc0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

tff(f_730,hypothesis,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,W0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

tff(f_84,definition,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aSubsetOf0(W1,W0)
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
               => aElementOf0(W2,W0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

tff(f_797,hypothesis,
    ( ( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) )
    & ( xd = sdtlpdtrp0(xC,xi) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).

tff(f_156,definition,
    ! [W0,W1] :
      ( ( aSet0(W0)
        & aElement0(W1) )
     => ! [W2] :
          ( ( W2 = sdtmndt0(W0,W1) )
        <=> ( aSet0(W2)
            & ! [W3] :
                ( aElementOf0(W3,W2)
              <=> ( aElement0(W3)
                  & aElementOf0(W3,W0)
                  & ( W3 != W1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

tff(f_388,definition,
    ! [W0] :
      ( ( aSubsetOf0(W0,szNzAzT0)
        & ( W0 != slcrc0 ) )
     => ! [W1] :
          ( ( W1 = szmzizndt0(W0) )
        <=> ( aElementOf0(W1,W0)
            & ! [W2] :
                ( aElementOf0(W2,W0)
               => sdtlseqdt0(W1,W2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).

tff(f_39,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aElementOf0(W1,W0)
         => aElement0(W1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

tff(c_406,plain,
    ~ aSubsetOf0(xY,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_799]) ).

tff(c_108,plain,
    aSet0(szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_14,plain,
    aSet0(slcrc0),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_22,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_411,plain,
    ~ isCountable0(slcrc0),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).

tff(c_400,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_794]) ).

tff(c_154,plain,
    ( ( sbrdtbr0(slcrc0) = sz00 )
    | ~ aSet0(slcrc0) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_409,plain,
    sbrdtbr0(slcrc0) = sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).

tff(c_376,plain,
    ! [W0_382] :
      ( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
      | ~ aElementOf0(W0_382,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_730]) ).

tff(c_782,plain,
    ! [W0_437] :
      ( aSubsetOf0(sdtlpdtrp0(xN,W0_437),szNzAzT0)
      | ~ aElementOf0(W0_437,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_730]) ).

tff(c_26,plain,
    ! [W1_20,W0_14] :
      ( aSet0(W1_20)
      | ~ aSubsetOf0(W1_20,W0_14)
      | ~ aSet0(W0_14) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_785,plain,
    ! [W0_437] :
      ( aSet0(sdtlpdtrp0(xN,W0_437))
      | ~ aSet0(szNzAzT0)
      | ~ aElementOf0(W0_437,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_782,c_26]) ).

tff(c_791,plain,
    ! [W0_437] :
      ( aSet0(sdtlpdtrp0(xN,W0_437))
      | ~ aElementOf0(W0_437,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_785]) ).

tff(c_404,plain,
    sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
    inference(cnfTransformation,[status(thm)],[f_797]) ).

tff(c_70,plain,
    ! [W0_44,W1_45] :
      ( aSet0(sdtmndt0(W0_44,W1_45))
      | ~ aElement0(W1_45)
      | ~ aSet0(W0_44) ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_816,plain,
    ( aSet0(xY)
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aSet0(sdtlpdtrp0(xN,xi)) ),
    inference(superposition,[status(thm),theory(equality)],[c_404,c_70]) ).

tff(c_1836,plain,
    ~ aSet0(sdtlpdtrp0(xN,xi)),
    inference(splitLeft,[status(thm)],[c_816]) ).

tff(c_1839,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[status(thm)],[c_791,c_1836]) ).

tff(c_1843,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_1839]) ).

tff(c_1845,plain,
    aSet0(sdtlpdtrp0(xN,xi)),
    inference(splitRight,[status(thm)],[c_816]) ).

tff(c_1043,plain,
    ! [W0_456] :
      ( aElementOf0(szmzizndt0(W0_456),W0_456)
      | ( slcrc0 = W0_456 )
      | ~ aSubsetOf0(W0_456,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_6,plain,
    ! [W1_5,W0_3] :
      ( aElement0(W1_5)
      | ~ aElementOf0(W1_5,W0_3)
      | ~ aSet0(W0_3) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_1066,plain,
    ! [W0_456] :
      ( aElement0(szmzizndt0(W0_456))
      | ~ aSet0(W0_456)
      | ( slcrc0 = W0_456 )
      | ~ aSubsetOf0(W0_456,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1043,c_6]) ).

tff(c_1844,plain,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | aSet0(xY) ),
    inference(splitRight,[status(thm)],[c_816]) ).

tff(c_1893,plain,
    ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
    inference(splitLeft,[status(thm)],[c_1844]) ).

tff(c_1917,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1066,c_1893]) ).

tff(c_1920,plain,
    ( ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1845,c_1917]) ).

tff(c_1922,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_1920]) ).

tff(c_1925,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[status(thm)],[c_376,c_1922]) ).

tff(c_1929,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_1925]) ).

tff(c_1930,plain,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(splitRight,[status(thm)],[c_1920]) ).

tff(c_156,plain,
    ! [W0_98] :
      ( ( slcrc0 = W0_98 )
      | ( sbrdtbr0(W0_98) != sz00 )
      | ~ aSet0(W0_98) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_1849,plain,
    ( ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ( sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00 ) ),
    inference(resolution,[status(thm)],[c_1845,c_156]) ).

tff(c_1921,plain,
    sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00,
    inference(splitLeft,[status(thm)],[c_1849]) ).

tff(c_1933,plain,
    sbrdtbr0(slcrc0) != sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_1930,c_1921]) ).

tff(c_1939,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_409,c_1933]) ).

tff(c_1940,plain,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(splitRight,[status(thm)],[c_1849]) ).

tff(c_374,plain,
    ! [W0_382] :
      ( isCountable0(sdtlpdtrp0(xN,W0_382))
      | ~ aElementOf0(W0_382,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_730]) ).

tff(c_1958,plain,
    ( isCountable0(slcrc0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_1940,c_374]) ).

tff(c_1968,plain,
    isCountable0(slcrc0),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_1958]) ).

tff(c_1970,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_411,c_1968]) ).

tff(c_1971,plain,
    aSet0(xY),
    inference(splitRight,[status(thm)],[c_1844]) ).

tff(c_30,plain,
    ! [W0_14,W1_20] :
      ( aElementOf0('#skF_2'(W0_14,W1_20),W1_20)
      | aSubsetOf0(W1_20,W0_14)
      | ~ aSet0(W1_20)
      | ~ aSet0(W0_14) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_1972,plain,
    aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
    inference(splitRight,[status(thm)],[c_1844]) ).

tff(c_1977,plain,
    ! [W3_538,W0_539,W1_540] :
      ( aElementOf0(W3_538,W0_539)
      | ~ aElementOf0(W3_538,sdtmndt0(W0_539,W1_540))
      | ~ aElement0(W1_540)
      | ~ aSet0(W0_539) ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_1988,plain,
    ! [W3_538] :
      ( aElementOf0(W3_538,sdtlpdtrp0(xN,xi))
      | ~ aElementOf0(W3_538,xY)
      | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
      | ~ aSet0(sdtlpdtrp0(xN,xi)) ),
    inference(superposition,[status(thm),theory(equality)],[c_404,c_1977]) ).

tff(c_1996,plain,
    ! [W3_538] :
      ( aElementOf0(W3_538,sdtlpdtrp0(xN,xi))
      | ~ aElementOf0(W3_538,xY)
      | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1845,c_1988]) ).

tff(c_22497,plain,
    ! [W3_1062] :
      ( aElementOf0(W3_1062,sdtlpdtrp0(xN,xi))
      | ~ aElementOf0(W3_1062,xY) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1972,c_1996]) ).

tff(c_24,plain,
    ! [W2_23,W0_14,W1_20] :
      ( aElementOf0(W2_23,W0_14)
      | ~ aElementOf0(W2_23,W1_20)
      | ~ aSubsetOf0(W1_20,W0_14)
      | ~ aSet0(W0_14) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_23870,plain,
    ! [W3_1085,W0_1086] :
      ( aElementOf0(W3_1085,W0_1086)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),W0_1086)
      | ~ aSet0(W0_1086)
      | ~ aElementOf0(W3_1085,xY) ),
    inference(resolution,[status(thm)],[c_22497,c_24]) ).

tff(c_23897,plain,
    ! [W3_1085] :
      ( aElementOf0(W3_1085,szNzAzT0)
      | ~ aSet0(szNzAzT0)
      | ~ aElementOf0(W3_1085,xY)
      | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_376,c_23870]) ).

tff(c_23927,plain,
    ! [W3_1087] :
      ( aElementOf0(W3_1087,szNzAzT0)
      | ~ aElementOf0(W3_1087,xY) ),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_108,c_23897]) ).

tff(c_24027,plain,
    ! [W0_14] :
      ( aElementOf0('#skF_2'(W0_14,xY),szNzAzT0)
      | aSubsetOf0(xY,W0_14)
      | ~ aSet0(xY)
      | ~ aSet0(W0_14) ),
    inference(resolution,[status(thm)],[c_30,c_23927]) ).

tff(c_32345,plain,
    ! [W0_1159] :
      ( aElementOf0('#skF_2'(W0_1159,xY),szNzAzT0)
      | aSubsetOf0(xY,W0_1159)
      | ~ aSet0(W0_1159) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1971,c_24027]) ).

tff(c_28,plain,
    ! [W0_14,W1_20] :
      ( ~ aElementOf0('#skF_2'(W0_14,W1_20),W0_14)
      | aSubsetOf0(W1_20,W0_14)
      | ~ aSet0(W1_20)
      | ~ aSet0(W0_14) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_32357,plain,
    ( ~ aSet0(xY)
    | aSubsetOf0(xY,szNzAzT0)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[status(thm)],[c_32345,c_28]) ).

tff(c_32377,plain,
    aSubsetOf0(xY,szNzAzT0),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_1971,c_32357]) ).

tff(c_32379,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_406,c_32377]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM590+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Apr  8 13:53:49 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 23.86/9.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.86/9.53  
% 23.86/9.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------