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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : NUM487+3 : 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 : n023.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 07:56:06 PM UTC 2025

% Result   : Theorem 23.05s 8.81s
% Output   : CNFRefutation 23.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   81 (  41 unt;   0 typ;   2 def)
%            Number of atoms       :  196 (  77 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  197 (  82   ~;  74   |;  28   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 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    :   20 (  20 usr;   8 con; 0-3 aty)
%            Number of variables   :   50 (  45   !;   5   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xp > xn > xm > sz10 > sz00 > #skF_4 > #skF_6 > #skF_10 > #skF_5 > #skF_9 > #skF_7 > #skF_3 > #skF_2 > #skF_8 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

tff(sz10,type,
    sz10: $i ).

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

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

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

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

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

tff(isPrime0,type,
    isPrime0: $i > $o ).

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

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

tff(doDivides0,type,
    doDivides0: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

tff(sdtsldt0,type,
    sdtsldt0: ( $i * $i ) > $i ).

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

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

tff(f_502,hypothesis,
    ( ( xp != sz00 )
    & ( xp != sz10 )
    & ! [W0] :
        ( ( aNaturalNumber0(W0)
          & ( ? [W1] :
                ( aNaturalNumber0(W1)
                & ( xp = sdtasdt0(W0,W1) ) )
            | doDivides0(W0,xp) ) )
       => ( ( W0 = sz10 )
          | ( W0 = xp ) ) )
    & isPrime0(xp)
    & ? [W0] :
        ( aNaturalNumber0(W0)
        & ( sdtasdt0(xn,xm) = sdtasdt0(xp,W0) ) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).

tff(f_508,hypothesis,
    ( ? [W0] :
        ( aNaturalNumber0(W0)
        & ( sdtpldt0(xp,W0) = xn ) )
    & sdtlseqdt0(xp,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).

tff(f_67,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => ( ( sdtpldt0(W0,sz00) = W0 )
        & ( W0 = sdtpldt0(sz00,W0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

tff(f_31,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

tff(f_423,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

tff(f_212,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtlseqdt0(W0,W1)
        | ( ( W1 != W0 )
          & sdtlseqdt0(W1,W0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).

tff(f_53,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

tff(f_162,definition,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtlseqdt0(W0,W1)
      <=> ? [W2] :
            ( aNaturalNumber0(W2)
            & ( sdtpldt0(W0,W2) = W1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

tff(f_189,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W0) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).

tff(f_513,hypothesis,
    ( aNaturalNumber0(xr)
    & ( sdtpldt0(xp,xr) = xn )
    & ( xr = sdtmndt0(xn,xp) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).

tff(f_115,axiom,
    ! [W0,W1,W2] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1)
        & aNaturalNumber0(W2) )
     => ( ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2) )
          | ( sdtpldt0(W1,W0) = sdtpldt0(W2,W0) ) )
       => ( W1 = W2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

tff(f_523,negated_conjecture,
    ~ ( ( xr != xn )
      & ( ? [W0] :
            ( aNaturalNumber0(W0)
            & ( sdtpldt0(xr,W0) = xn ) )
        | sdtlseqdt0(xr,xn) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_175,definition,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtlseqdt0(W0,W1)
       => ! [W2] :
            ( ( W2 = sdtmndt0(W1,W0) )
          <=> ( aNaturalNumber0(W2)
              & ( sdtpldt0(W0,W2) = W1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

tff(c_411,plain,
    xp != sz00,
    inference(cnfTransformation,[status(thm)],[f_502]) ).

tff(c_421,plain,
    aNaturalNumber0('#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_508]) ).

tff(c_21962,plain,
    ! [W0_443] :
      ( ( sdtpldt0(sz00,W0_443) = W0_443 )
      | ~ aNaturalNumber0(W0_443) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_21987,plain,
    sdtpldt0(sz00,'#skF_10') = '#skF_10',
    inference(resolution,[status(thm)],[c_421,c_21962]) ).

tff(c_4,plain,
    aNaturalNumber0(sz00),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_143,plain,
    aNaturalNumber0(xp),
    inference(cnfTransformation,[status(thm)],[f_423]) ).

tff(c_147,plain,
    aNaturalNumber0(xn),
    inference(cnfTransformation,[status(thm)],[f_423]) ).

tff(c_419,plain,
    sdtpldt0(xp,'#skF_10') = xn,
    inference(cnfTransformation,[status(thm)],[f_508]) ).

tff(c_417,plain,
    sdtlseqdt0(xp,xn),
    inference(cnfTransformation,[status(thm)],[f_508]) ).

tff(c_21925,plain,
    ! [W1_441] :
      ( sdtlseqdt0(W1_441,W1_441)
      | ~ aNaturalNumber0(W1_441) ),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_1266,plain,
    ! [W1_126,W0_127] :
      ( ( sdtpldt0(W1_126,W0_127) = sdtpldt0(W0_127,W1_126) )
      | ~ aNaturalNumber0(W1_126)
      | ~ aNaturalNumber0(W0_127) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_17621,plain,
    ! [W0_396] :
      ( ( sdtpldt0(W0_396,'#skF_10') = sdtpldt0('#skF_10',W0_396) )
      | ~ aNaturalNumber0(W0_396) ),
    inference(resolution,[status(thm)],[c_421,c_1266]) ).

tff(c_17672,plain,
    sdtpldt0(xp,'#skF_10') = sdtpldt0('#skF_10',xp),
    inference(resolution,[status(thm)],[c_143,c_17621]) ).

tff(c_17699,plain,
    sdtpldt0('#skF_10',xp) = xn,
    inference(demodulation,[status(thm),theory(equality)],[c_419,c_17672]) ).

tff(c_52,plain,
    ! [W0_34,W2_38] :
      ( sdtlseqdt0(W0_34,sdtpldt0(W0_34,W2_38))
      | ~ aNaturalNumber0(W2_38)
      | ~ aNaturalNumber0(sdtpldt0(W0_34,W2_38))
      | ~ aNaturalNumber0(W0_34) ),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_17722,plain,
    ( sdtlseqdt0('#skF_10',xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0('#skF_10',xp))
    | ~ aNaturalNumber0('#skF_10') ),
    inference(superposition,[status(thm),theory(equality)],[c_17699,c_52]) ).

tff(c_17746,plain,
    sdtlseqdt0('#skF_10',xn),
    inference(demodulation,[status(thm),theory(equality)],[c_421,c_147,c_17699,c_143,c_17722]) ).

tff(c_66,plain,
    ! [W1_45,W0_44] :
      ( ( W1_45 = W0_44 )
      | ~ sdtlseqdt0(W1_45,W0_44)
      | ~ sdtlseqdt0(W0_44,W1_45)
      | ~ aNaturalNumber0(W1_45)
      | ~ aNaturalNumber0(W0_44) ),
    inference(cnfTransformation,[status(thm)],[f_189]) ).

tff(c_17755,plain,
    ( ( xn = '#skF_10' )
    | ~ sdtlseqdt0(xn,'#skF_10')
    | ~ aNaturalNumber0('#skF_10')
    | ~ aNaturalNumber0(xn) ),
    inference(resolution,[status(thm)],[c_17746,c_66]) ).

tff(c_17764,plain,
    ( ( xn = '#skF_10' )
    | ~ sdtlseqdt0(xn,'#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_421,c_17755]) ).

tff(c_17868,plain,
    ~ sdtlseqdt0(xn,'#skF_10'),
    inference(splitLeft,[status(thm)],[c_17764]) ).

tff(c_425,plain,
    sdtpldt0(xp,xr) = xn,
    inference(cnfTransformation,[status(thm)],[f_513]) ).

tff(c_427,plain,
    aNaturalNumber0(xr),
    inference(cnfTransformation,[status(thm)],[f_513]) ).

tff(c_14578,plain,
    ! [W0_357,W2_358,W1_359] :
      ( ( sdtpldt0(W0_357,W2_358) != sdtpldt0(W0_357,W1_359) )
      | ( W2_358 = W1_359 )
      | ~ aNaturalNumber0(W2_358)
      | ~ aNaturalNumber0(W1_359)
      | ~ aNaturalNumber0(W0_357) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_14654,plain,
    ! [W2_358] :
      ( ( sdtpldt0(xp,W2_358) != xn )
      | ( W2_358 = '#skF_10' )
      | ~ aNaturalNumber0(W2_358)
      | ~ aNaturalNumber0('#skF_10')
      | ~ aNaturalNumber0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_419,c_14578]) ).

tff(c_19820,plain,
    ! [W2_418] :
      ( ( sdtpldt0(xp,W2_418) != xn )
      | ( W2_418 = '#skF_10' )
      | ~ aNaturalNumber0(W2_418) ),
    inference(demodulation,[status(thm),theory(equality)],[c_143,c_421,c_14654]) ).

tff(c_19883,plain,
    ( ( sdtpldt0(xp,xr) != xn )
    | ( xr = '#skF_10' ) ),
    inference(resolution,[status(thm)],[c_427,c_19820]) ).

tff(c_19915,plain,
    xr = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_425,c_19883]) ).

tff(c_2052,plain,
    ! [W1_136,W0_137] :
      ( sdtlseqdt0(W1_136,W0_137)
      | sdtlseqdt0(W0_137,W1_136)
      | ~ aNaturalNumber0(W1_136)
      | ~ aNaturalNumber0(W0_137) ),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_429,plain,
    ( ~ sdtlseqdt0(xr,xn)
    | ( xr = xn ) ),
    inference(cnfTransformation,[status(thm)],[f_523]) ).

tff(c_436,plain,
    ~ sdtlseqdt0(xr,xn),
    inference(splitLeft,[status(thm)],[c_429]) ).

tff(c_2055,plain,
    ( sdtlseqdt0(xn,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(resolution,[status(thm)],[c_2052,c_436]) ).

tff(c_2061,plain,
    sdtlseqdt0(xn,xr),
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_427,c_2055]) ).

tff(c_20108,plain,
    sdtlseqdt0(xn,'#skF_10'),
    inference(demodulation,[status(thm),theory(equality)],[c_19915,c_2061]) ).

tff(c_20155,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17868,c_20108]) ).

tff(c_20156,plain,
    xn = '#skF_10',
    inference(splitRight,[status(thm)],[c_17764]) ).

tff(c_652,plain,
    ! [W0_115] :
      ( ( sdtpldt0(W0_115,sz00) = W0_115 )
      | ~ aNaturalNumber0(W0_115) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_684,plain,
    sdtpldt0(xr,sz00) = xr,
    inference(resolution,[status(thm)],[c_427,c_652]) ).

tff(c_431,plain,
    ! [W0_109] :
      ( ( sdtpldt0(xr,W0_109) != xn )
      | ~ aNaturalNumber0(W0_109)
      | ( xr = xn ) ),
    inference(cnfTransformation,[status(thm)],[f_523]) ).

tff(c_533,plain,
    ! [W0_113] :
      ( ( sdtpldt0(xr,W0_113) != xn )
      | ~ aNaturalNumber0(W0_113) ),
    inference(splitLeft,[status(thm)],[c_431]) ).

tff(c_559,plain,
    sdtpldt0(xr,sz00) != xn,
    inference(resolution,[status(thm)],[c_4,c_533]) ).

tff(c_863,plain,
    xr != xn,
    inference(demodulation,[status(thm),theory(equality)],[c_684,c_559]) ).

tff(c_20238,plain,
    xr != '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_20156,c_863]) ).

tff(c_20248,plain,
    sdtpldt0(xp,'#skF_10') = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_20156,c_419]) ).

tff(c_20250,plain,
    sdtlseqdt0(xp,'#skF_10'),
    inference(demodulation,[status(thm),theory(equality)],[c_20156,c_417]) ).

tff(c_423,plain,
    sdtmndt0(xn,xp) = xr,
    inference(cnfTransformation,[status(thm)],[f_513]) ).

tff(c_20247,plain,
    sdtmndt0('#skF_10',xp) = xr,
    inference(demodulation,[status(thm),theory(equality)],[c_20156,c_423]) ).

tff(c_21813,plain,
    ! [W0_439,W2_440] :
      ( ( sdtmndt0(sdtpldt0(W0_439,W2_440),W0_439) = W2_440 )
      | ~ aNaturalNumber0(W2_440)
      | ~ sdtlseqdt0(W0_439,sdtpldt0(W0_439,W2_440))
      | ~ aNaturalNumber0(sdtpldt0(W0_439,W2_440))
      | ~ aNaturalNumber0(W0_439) ),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_21832,plain,
    ( ( sdtmndt0(sdtpldt0(xp,'#skF_10'),xp) = '#skF_10' )
    | ~ aNaturalNumber0('#skF_10')
    | ~ sdtlseqdt0(xp,'#skF_10')
    | ~ aNaturalNumber0(sdtpldt0(xp,'#skF_10'))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_20248,c_21813]) ).

tff(c_21904,plain,
    xr = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_143,c_421,c_20248,c_20250,c_421,c_20247,c_20248,c_21832]) ).

tff(c_21906,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20238,c_21904]) ).

tff(c_21907,plain,
    xr = xn,
    inference(splitRight,[status(thm)],[c_431]) ).

tff(c_21909,plain,
    ~ sdtlseqdt0(xn,xn),
    inference(demodulation,[status(thm),theory(equality)],[c_21907,c_436]) ).

tff(c_21928,plain,
    ~ aNaturalNumber0(xn),
    inference(resolution,[status(thm)],[c_21925,c_21909]) ).

tff(c_21932,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_21928]) ).

tff(c_21933,plain,
    xr = xn,
    inference(splitRight,[status(thm)],[c_429]) ).

tff(c_21948,plain,
    sdtmndt0(xn,xp) = xn,
    inference(demodulation,[status(thm),theory(equality)],[c_21933,c_423]) ).

tff(c_40603,plain,
    ! [W0_724,W2_725] :
      ( ( sdtmndt0(sdtpldt0(W0_724,W2_725),W0_724) = W2_725 )
      | ~ aNaturalNumber0(W2_725)
      | ~ sdtlseqdt0(W0_724,sdtpldt0(W0_724,W2_725))
      | ~ aNaturalNumber0(sdtpldt0(W0_724,W2_725))
      | ~ aNaturalNumber0(W0_724) ),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_40700,plain,
    ( ( sdtmndt0(sdtpldt0(xp,'#skF_10'),xp) = '#skF_10' )
    | ~ aNaturalNumber0('#skF_10')
    | ~ sdtlseqdt0(xp,xn)
    | ~ aNaturalNumber0(sdtpldt0(xp,'#skF_10'))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_419,c_40603]) ).

tff(c_40751,plain,
    xn = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_143,c_147,c_419,c_417,c_421,c_21948,c_419,c_40700]) ).

tff(c_21943,plain,
    sdtpldt0(xp,xn) = xn,
    inference(demodulation,[status(thm),theory(equality)],[c_21933,c_425]) ).

tff(c_31287,plain,
    ! [W2_602,W0_603,W1_604] :
      ( ( sdtpldt0(W2_602,W0_603) != sdtpldt0(W1_604,W0_603) )
      | ( W2_602 = W1_604 )
      | ~ aNaturalNumber0(W2_602)
      | ~ aNaturalNumber0(W1_604)
      | ~ aNaturalNumber0(W0_603) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_31381,plain,
    ! [W1_604] :
      ( ( sdtpldt0(W1_604,xn) != xn )
      | ( xp = W1_604 )
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(W1_604)
      | ~ aNaturalNumber0(xn) ),
    inference(superposition,[status(thm),theory(equality)],[c_21943,c_31287]) ).

tff(c_31469,plain,
    ! [W1_604] :
      ( ( sdtpldt0(W1_604,xn) != xn )
      | ( xp = W1_604 )
      | ~ aNaturalNumber0(W1_604) ),
    inference(demodulation,[status(thm),theory(equality)],[c_147,c_143,c_31381]) ).

tff(c_45570,plain,
    ! [W1_788] :
      ( ( sdtpldt0(W1_788,'#skF_10') != '#skF_10' )
      | ( xp = W1_788 )
      | ~ aNaturalNumber0(W1_788) ),
    inference(demodulation,[status(thm),theory(equality)],[c_40751,c_40751,c_31469]) ).

tff(c_45615,plain,
    ( ( sdtpldt0(sz00,'#skF_10') != '#skF_10' )
    | ( xp = sz00 ) ),
    inference(resolution,[status(thm)],[c_4,c_45570]) ).

tff(c_45646,plain,
    xp = sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_21987,c_45615]) ).

tff(c_45648,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_411,c_45646]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM487+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13  % 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
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Apr  8 12:54:09 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 23.05/8.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.05/8.82  
% 23.05/8.82  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------