TSTP Solution File: NUM475+2 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM475+2 : TPTP v8.1.2. 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 : n018.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 : Tue Aug 22 10:51:49 EDT 2023

% Result   : Theorem 27.78s 15.26s
% Output   : CNFRefutation 27.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   95 (  40 unt;  21 typ;   2 def)
%            Number of atoms       :  169 (  73 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  154 (  59   ~;  57   |;  27   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  10   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-2 aty)
%            Number of variables   :   41 (;  38   !;   3   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xq > xp > xn > xm > xl > sz10 > sz00 > #skF_5 > #skF_3 > #skF_4 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

tff(sdtasdt0,type,
    sdtasdt0: ( $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(sdtpldt0,type,
    sdtpldt0: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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_383,hypothesis,
    ( ? [W0] :
        ( aNaturalNumber0(W0)
        & ( sdtpldt0(xp,W0) = xq ) )
    & sdtlseqdt0(xp,xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1395) ).

tff(f_352,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).

tff(f_73,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

tff(f_372,hypothesis,
    ( aNaturalNumber0(xp)
    & ( xm = sdtasdt0(xl,xp) )
    & ( xp = sdtsldt0(xm,xl) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).

tff(f_377,hypothesis,
    ( aNaturalNumber0(xq)
    & ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
    & ( xq = sdtsldt0(sdtpldt0(xm,xn),xl) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).

tff(f_388,hypothesis,
    ( aNaturalNumber0(xr)
    & ( sdtpldt0(xp,xr) = xq )
    & ( xr = sdtmndt0(xq,xp) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).

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(f_391,negated_conjecture,
    xn != sdtasdt0(xl,xr),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

tff(f_47,axiom,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => aNaturalNumber0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

tff(f_365,hypothesis,
    ( ? [W0] :
        ( aNaturalNumber0(W0)
        & ( xm = sdtasdt0(xl,W0) ) )
    & doDivides0(xl,xm)
    & ? [W0] :
        ( aNaturalNumber0(W0)
        & ( sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ) )
    & doDivides0(xl,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).

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_367,hypothesis,
    xl != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).

tff(f_323,definition,
    ! [W0,W1] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1) )
     => ( ( ( W0 != sz00 )
          & doDivides0(W0,W1) )
       => ! [W2] :
            ( ( W2 = sdtsldt0(W1,W0) )
          <=> ( aNaturalNumber0(W2)
              & ( W1 = sdtasdt0(W0,W2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).

tff(f_103,axiom,
    ! [W0,W1,W2] :
      ( ( aNaturalNumber0(W0)
        & aNaturalNumber0(W1)
        & aNaturalNumber0(W2) )
     => ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
        & ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

tff(c_153,plain,
    aNaturalNumber0('#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_121,plain,
    aNaturalNumber0(xl),
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_1368,plain,
    ! [W1_100,W0_101] :
      ( ( sdtasdt0(W1_100,W0_101) = sdtasdt0(W0_101,W1_100) )
      | ~ aNaturalNumber0(W1_100)
      | ~ aNaturalNumber0(W0_101) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_49430,plain,
    ! [W0_441] :
      ( ( sdtasdt0(xl,W0_441) = sdtasdt0(W0_441,xl) )
      | ~ aNaturalNumber0(W0_441) ),
    inference(resolution,[status(thm)],[c_121,c_1368]) ).

tff(c_49498,plain,
    sdtasdt0(xl,'#skF_5') = sdtasdt0('#skF_5',xl),
    inference(resolution,[status(thm)],[c_153,c_49430]) ).

tff(c_141,plain,
    aNaturalNumber0(xp),
    inference(cnfTransformation,[status(thm)],[f_372]) ).

tff(c_147,plain,
    aNaturalNumber0(xq),
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_151,plain,
    sdtpldt0(xp,'#skF_5') = xq,
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_149,plain,
    sdtlseqdt0(xp,xq),
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_155,plain,
    sdtmndt0(xq,xp) = xr,
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_21387,plain,
    ! [W0_340,W2_341] :
      ( ( sdtmndt0(sdtpldt0(W0_340,W2_341),W0_340) = W2_341 )
      | ~ aNaturalNumber0(W2_341)
      | ~ sdtlseqdt0(W0_340,sdtpldt0(W0_340,W2_341))
      | ~ aNaturalNumber0(sdtpldt0(W0_340,W2_341))
      | ~ aNaturalNumber0(W0_340) ),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_21489,plain,
    ( ( sdtmndt0(sdtpldt0(xp,'#skF_5'),xp) = '#skF_5' )
    | ~ aNaturalNumber0('#skF_5')
    | ~ sdtlseqdt0(xp,xq)
    | ~ aNaturalNumber0(sdtpldt0(xp,'#skF_5'))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_151,c_21387]) ).

tff(c_21545,plain,
    xr = '#skF_5',
    inference(demodulation,[status(thm),theory(equality)],[c_141,c_147,c_151,c_149,c_153,c_155,c_151,c_21489]) ).

tff(c_163,plain,
    sdtasdt0(xl,xr) != xn,
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_21566,plain,
    sdtasdt0(xl,'#skF_5') != xn,
    inference(demodulation,[status(thm),theory(equality)],[c_21545,c_163]) ).

tff(c_51121,plain,
    sdtasdt0('#skF_5',xl) != xn,
    inference(demodulation,[status(thm),theory(equality)],[c_49498,c_21566]) ).

tff(c_12,plain,
    ! [W0_4,W1_5] :
      ( aNaturalNumber0(sdtasdt0(W0_4,W1_5))
      | ~ aNaturalNumber0(W1_5)
      | ~ aNaturalNumber0(W0_4) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_51171,plain,
    ( aNaturalNumber0(sdtasdt0('#skF_5',xl))
    | ~ aNaturalNumber0('#skF_5')
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[status(thm),theory(equality)],[c_49498,c_12]) ).

tff(c_51220,plain,
    aNaturalNumber0(sdtasdt0('#skF_5',xl)),
    inference(demodulation,[status(thm),theory(equality)],[c_121,c_153,c_51171]) ).

tff(c_127,plain,
    aNaturalNumber0('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_49499,plain,
    sdtasdt0(xl,'#skF_3') = sdtasdt0('#skF_3',xl),
    inference(resolution,[status(thm)],[c_127,c_49430]) ).

tff(c_119,plain,
    aNaturalNumber0(xm),
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_117,plain,
    aNaturalNumber0(xn),
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_125,plain,
    sdtpldt0(xm,xn) = sdtasdt0(xl,'#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_17582,plain,
    ! [W0_302,W2_303,W1_304] :
      ( ( sdtpldt0(W0_302,W2_303) != sdtpldt0(W0_302,W1_304) )
      | ( W2_303 = W1_304 )
      | ~ aNaturalNumber0(W2_303)
      | ~ aNaturalNumber0(W1_304)
      | ~ aNaturalNumber0(W0_302) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_17666,plain,
    ! [W2_303] :
      ( ( sdtpldt0(xm,W2_303) != sdtasdt0(xl,'#skF_3') )
      | ( xn = W2_303 )
      | ~ aNaturalNumber0(W2_303)
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(xm) ),
    inference(superposition,[status(thm),theory(equality)],[c_125,c_17582]) ).

tff(c_17766,plain,
    ! [W2_303] :
      ( ( sdtpldt0(xm,W2_303) != sdtasdt0(xl,'#skF_3') )
      | ( xn = W2_303 )
      | ~ aNaturalNumber0(W2_303) ),
    inference(demodulation,[status(thm),theory(equality)],[c_119,c_117,c_17666]) ).

tff(c_69275,plain,
    ! [W2_479] :
      ( ( sdtpldt0(xm,W2_479) != sdtasdt0('#skF_3',xl) )
      | ( xn = W2_479 )
      | ~ aNaturalNumber0(W2_479) ),
    inference(demodulation,[status(thm),theory(equality)],[c_49499,c_17766]) ).

tff(c_69344,plain,
    ( ( sdtpldt0(xm,sdtasdt0('#skF_5',xl)) != sdtasdt0('#skF_3',xl) )
    | ( sdtasdt0('#skF_5',xl) = xn ) ),
    inference(resolution,[status(thm)],[c_51220,c_69275]) ).

tff(c_69443,plain,
    sdtpldt0(xm,sdtasdt0('#skF_5',xl)) != sdtasdt0('#skF_3',xl),
    inference(negUnitSimplification,[status(thm)],[c_51121,c_69344]) ).

tff(c_135,plain,
    xl != sz00,
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_131,plain,
    sdtasdt0(xl,'#skF_4') = xm,
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_129,plain,
    doDivides0(xl,xm),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_133,plain,
    aNaturalNumber0('#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_137,plain,
    sdtsldt0(xm,xl) = xp,
    inference(cnfTransformation,[status(thm)],[f_372]) ).

tff(c_22727,plain,
    ! [W0_348,W2_349] :
      ( ( sdtsldt0(sdtasdt0(W0_348,W2_349),W0_348) = W2_349 )
      | ~ aNaturalNumber0(W2_349)
      | ~ doDivides0(W0_348,sdtasdt0(W0_348,W2_349))
      | ( sz00 = W0_348 )
      | ~ aNaturalNumber0(sdtasdt0(W0_348,W2_349))
      | ~ aNaturalNumber0(W0_348) ),
    inference(cnfTransformation,[status(thm)],[f_323]) ).

tff(c_22862,plain,
    ( ( sdtsldt0(sdtasdt0(xl,'#skF_4'),xl) = '#skF_4' )
    | ~ aNaturalNumber0('#skF_4')
    | ~ doDivides0(xl,xm)
    | ( xl = sz00 )
    | ~ aNaturalNumber0(sdtasdt0(xl,'#skF_4'))
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[status(thm),theory(equality)],[c_131,c_22727]) ).

tff(c_22982,plain,
    ( ( xp = '#skF_4' )
    | ( xl = sz00 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_121,c_119,c_131,c_129,c_133,c_137,c_131,c_22862]) ).

tff(c_22983,plain,
    xp = '#skF_4',
    inference(negUnitSimplification,[status(thm)],[c_135,c_22982]) ).

tff(c_145,plain,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_167,plain,
    sdtasdt0(xl,xq) = sdtasdt0(xl,'#skF_3'),
    inference(demodulation,[status(thm),theory(equality)],[c_125,c_145]) ).

tff(c_723,plain,
    ! [W0_89,W1_90] :
      ( aNaturalNumber0(sdtasdt0(W0_89,W1_90))
      | ~ aNaturalNumber0(W1_90)
      | ~ aNaturalNumber0(W0_89) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_753,plain,
    ( aNaturalNumber0(sdtasdt0(xl,'#skF_3'))
    | ~ aNaturalNumber0(xq)
    | ~ aNaturalNumber0(xl) ),
    inference(superposition,[status(thm),theory(equality)],[c_167,c_723]) ).

tff(c_830,plain,
    aNaturalNumber0(sdtasdt0(xl,'#skF_3')),
    inference(demodulation,[status(thm),theory(equality)],[c_121,c_147,c_753]) ).

tff(c_143,plain,
    sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_164,plain,
    sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
    inference(demodulation,[status(thm),theory(equality)],[c_145,c_143]) ).

tff(c_168,plain,
    sdtsldt0(sdtasdt0(xl,'#skF_3'),xl) = xq,
    inference(demodulation,[status(thm),theory(equality)],[c_167,c_164]) ).

tff(c_123,plain,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_170,plain,
    doDivides0(xl,sdtasdt0(xl,'#skF_3')),
    inference(demodulation,[status(thm),theory(equality)],[c_125,c_123]) ).

tff(c_22856,plain,
    ( ( sdtsldt0(sdtasdt0(xl,'#skF_3'),xl) = '#skF_3' )
    | ~ aNaturalNumber0('#skF_3')
    | ( xl = sz00 )
    | ~ aNaturalNumber0(sdtasdt0(xl,'#skF_3'))
    | ~ aNaturalNumber0(xl) ),
    inference(resolution,[status(thm)],[c_170,c_22727]) ).

tff(c_22976,plain,
    ( ( xq = '#skF_3' )
    | ( xl = sz00 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_121,c_830,c_127,c_168,c_22856]) ).

tff(c_22977,plain,
    xq = '#skF_3',
    inference(negUnitSimplification,[status(thm)],[c_135,c_22976]) ).

tff(c_23006,plain,
    sdtpldt0(xp,'#skF_5') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22977,c_151]) ).

tff(c_23131,plain,
    sdtpldt0('#skF_4','#skF_5') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22983,c_23006]) ).

tff(c_20864,plain,
    ! [W0_337,W1_338,W2_339] :
      ( ( sdtpldt0(sdtasdt0(W0_337,W1_338),sdtasdt0(W0_337,W2_339)) = sdtasdt0(W0_337,sdtpldt0(W1_338,W2_339)) )
      | ~ aNaturalNumber0(W2_339)
      | ~ aNaturalNumber0(W1_338)
      | ~ aNaturalNumber0(W0_337) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_21193,plain,
    ! [W2_339] :
      ( ( sdtpldt0(xm,sdtasdt0(xl,W2_339)) = sdtasdt0(xl,sdtpldt0('#skF_4',W2_339)) )
      | ~ aNaturalNumber0(W2_339)
      | ~ aNaturalNumber0('#skF_4')
      | ~ aNaturalNumber0(xl) ),
    inference(superposition,[status(thm),theory(equality)],[c_131,c_20864]) ).

tff(c_74243,plain,
    ! [W2_503] :
      ( ( sdtpldt0(xm,sdtasdt0(xl,W2_503)) = sdtasdt0(xl,sdtpldt0('#skF_4',W2_503)) )
      | ~ aNaturalNumber0(W2_503) ),
    inference(demodulation,[status(thm),theory(equality)],[c_121,c_133,c_21193]) ).

tff(c_74311,plain,
    ( ( sdtpldt0(xm,sdtasdt0('#skF_5',xl)) = sdtasdt0(xl,sdtpldt0('#skF_4','#skF_5')) )
    | ~ aNaturalNumber0('#skF_5') ),
    inference(superposition,[status(thm),theory(equality)],[c_49498,c_74243]) ).

tff(c_74373,plain,
    sdtpldt0(xm,sdtasdt0('#skF_5',xl)) = sdtasdt0('#skF_3',xl),
    inference(demodulation,[status(thm),theory(equality)],[c_153,c_49499,c_23131,c_74311]) ).

tff(c_74375,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_69443,c_74373]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % 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
% 0.14/0.37  % Computer : n018.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu Aug  3 15:17:50 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 27.78/15.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.85/15.27  
% 27.85/15.27  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.85/15.31  
% 27.85/15.31  Inference rules
% 27.85/15.31  ----------------------
% 27.85/15.31  #Ref     : 16
% 27.85/15.31  #Sup     : 15324
% 27.85/15.31  #Fact    : 2
% 27.85/15.31  #Define  : 0
% 27.85/15.31  #Split   : 59
% 27.85/15.31  #Chain   : 0
% 27.85/15.31  #Close   : 0
% 27.85/15.31  
% 27.85/15.31  Ordering : KBO
% 27.85/15.31  
% 27.85/15.31  Simplification rules
% 27.85/15.31  ----------------------
% 27.85/15.31  #Subsume      : 634
% 27.85/15.31  #Demod        : 25280
% 27.85/15.31  #Tautology    : 4766
% 27.85/15.31  #SimpNegUnit  : 3018
% 27.85/15.31  #BackRed      : 1115
% 27.85/15.31  
% 27.85/15.31  #Partial instantiations: 0
% 27.85/15.31  #Strategies tried      : 1
% 27.85/15.31  
% 27.85/15.31  Timing (in seconds)
% 27.85/15.31  ----------------------
% 27.85/15.31  Preprocessing        : 0.67
% 27.85/15.31  Parsing              : 0.34
% 27.85/15.31  CNF conversion       : 0.05
% 27.85/15.31  Main loop            : 13.48
% 27.85/15.31  Inferencing          : 2.05
% 27.85/15.31  Reduction            : 7.72
% 27.85/15.31  Demodulation         : 6.26
% 27.85/15.31  BG Simplification    : 0.16
% 27.85/15.31  Subsumption          : 2.70
% 27.85/15.31  Abstraction          : 0.20
% 27.85/15.31  MUC search           : 0.00
% 27.85/15.31  Cooper               : 0.00
% 27.85/15.31  Total                : 14.21
% 27.85/15.31  Index Insertion      : 0.00
% 27.85/15.31  Index Deletion       : 0.00
% 27.85/15.31  Index Matching       : 0.00
% 27.85/15.31  BG Taut test         : 0.00
%------------------------------------------------------------------------------