TSTP Solution File: NUM574+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM574+1 : 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/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 : n008.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 10:52:10 EDT 2023

% Result   : Theorem 9.94s 3.28s
% Output   : CNFRefutation 10.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  120 (  23 unt;  61 typ;   2 def)
%            Number of atoms       :  137 (  40 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  128 (  50   ~;  43   |;  16   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  102 (  50   >;  52   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   52 (  52 usr;  11 con; 0-4 aty)
%            Number of variables   :   34 (;  32   !;   2   ?;   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 > xj > xi > xc > xT > xS > xN > xK > 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(xj,type,
    xj: $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('#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('#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('#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_211,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

tff(f_667,hypothesis,
    ( aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

tff(f_84,definition,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aSubsetOf0(W1,W0)
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
               => aElementOf0(W2,W0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

tff(f_97,axiom,
    ! [W0] :
      ( aSet0(W0)
     => aSubsetOf0(W0,W0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).

tff(f_724,hypothesis,
    ( aFunction0(xN)
    & ( szDzozmdt0(xN) = szNzAzT0 )
    & ( sdtlpdtrp0(xN,sz00) = xS )
    & ! [W0] :
        ( aElementOf0(W0,szNzAzT0)
       => ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
            & isCountable0(sdtlpdtrp0(xN,W0)) )
         => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

tff(f_733,hypothesis,
    ( aElementOf0(xj,szNzAzT0)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786) ).

tff(f_252,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => sdtlseqdt0(sz00,W0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

tff(f_471,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( sbrdtbr0(slbdtrb0(W0)) = W0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).

tff(f_435,definition,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ! [W1] :
          ( ( W1 = slbdtrb0(W0) )
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
              <=> ( aElementOf0(W2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

tff(f_330,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ( ( sbrdtbr0(W0) = sz00 )
      <=> ( W0 = slcrc0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).

tff(f_212,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

tff(f_236,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( ( W0 = sz00 )
        | ? [W1] :
            ( aElementOf0(W1,szNzAzT0)
            & ( W0 = szszuzczcdt0(W1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).

tff(f_757,negated_conjecture,
    ~ ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

tff(f_753,hypothesis,
    ( ( sdtlseqdt0(xj,xi)
      & ? [W0] :
          ( aElementOf0(W0,szNzAzT0)
          & ( szszuzczcdt0(W0) = xi ) ) )
   => ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786_02) ).

tff(f_283,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W0) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

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

tff(c_340,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_667]) ).

tff(c_593,plain,
    ! [W1_403,W0_404] :
      ( aSet0(W1_403)
      | ~ aSubsetOf0(W1_403,W0_404)
      | ~ aSet0(W0_404) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_602,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[status(thm)],[c_340,c_593]) ).

tff(c_609,plain,
    aSet0(xS),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_602]) ).

tff(c_34,plain,
    ! [W0_27] :
      ( aSubsetOf0(W0_27,W0_27)
      | ~ aSet0(W0_27) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_364,plain,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(cnfTransformation,[status(thm)],[f_724]) ).

tff(c_380,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_733]) ).

tff(c_126,plain,
    ! [W0_80] :
      ( sdtlseqdt0(sz00,W0_80)
      | ~ aElementOf0(W0_80,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_224,plain,
    ! [W0_150] :
      ( ( sbrdtbr0(slbdtrb0(W0_150)) = W0_150 )
      | ~ aElementOf0(W0_150,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_471]) ).

tff(c_188,plain,
    ! [W0_133] :
      ( aSet0(slbdtrb0(W0_133))
      | ~ aElementOf0(W0_133,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_537,plain,
    ! [W0_399] :
      ( ( slcrc0 = W0_399 )
      | ( sbrdtbr0(W0_399) != sz00 )
      | ~ aSet0(W0_399) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_1402,plain,
    ! [W0_476] :
      ( ( slbdtrb0(W0_476) = slcrc0 )
      | ( sbrdtbr0(slbdtrb0(W0_476)) != sz00 )
      | ~ aElementOf0(W0_476,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_188,c_537]) ).

tff(c_3288,plain,
    ! [W0_593] :
      ( ( slbdtrb0(W0_593) = slcrc0 )
      | ( sz00 != W0_593 )
      | ~ aElementOf0(W0_593,szNzAzT0)
      | ~ aElementOf0(W0_593,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_224,c_1402]) ).

tff(c_3316,plain,
    ( ( slbdtrb0(xj) = slcrc0 )
    | ( xj != sz00 )
    | ~ aElementOf0(xj,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_380,c_3288]) ).

tff(c_3347,plain,
    ( ( slbdtrb0(xj) = slcrc0 )
    | ( xj != sz00 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_3316]) ).

tff(c_3382,plain,
    xj != sz00,
    inference(splitLeft,[status(thm)],[c_3347]) ).

tff(c_110,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_378,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_733]) ).

tff(c_118,plain,
    ! [W0_75] :
      ( ( szszuzczcdt0('#skF_7'(W0_75)) = W0_75 )
      | ( sz00 = W0_75 )
      | ~ aElementOf0(W0_75,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_1012,plain,
    ! [W0_436] :
      ( aElementOf0('#skF_7'(W0_436),szNzAzT0)
      | ( sz00 = W0_436 )
      | ~ aElementOf0(W0_436,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_386,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnfTransformation,[status(thm)],[f_757]) ).

tff(c_388,plain,
    sdtlseqdt0(xj,xi),
    inference(cnfTransformation,[status(thm)],[f_757]) ).

tff(c_384,plain,
    ! [W0_385] :
      ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ( szszuzczcdt0(W0_385) != xi )
      | ~ aElementOf0(W0_385,szNzAzT0)
      | ~ sdtlseqdt0(xj,xi) ),
    inference(cnfTransformation,[status(thm)],[f_753]) ).

tff(c_390,plain,
    ! [W0_385] :
      ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ( szszuzczcdt0(W0_385) != xi )
      | ~ aElementOf0(W0_385,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_384]) ).

tff(c_391,plain,
    ! [W0_385] :
      ( ( szszuzczcdt0(W0_385) != xi )
      | ~ aElementOf0(W0_385,szNzAzT0) ),
    inference(negUnitSimplification,[status(thm)],[c_386,c_390]) ).

tff(c_1052,plain,
    ! [W0_442] :
      ( ( szszuzczcdt0('#skF_7'(W0_442)) != xi )
      | ( sz00 = W0_442 )
      | ~ aElementOf0(W0_442,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1012,c_391]) ).

tff(c_1181,plain,
    ! [W0_452] :
      ( ( xi != W0_452 )
      | ( sz00 = W0_452 )
      | ~ aElementOf0(W0_452,szNzAzT0)
      | ( sz00 = W0_452 )
      | ~ aElementOf0(W0_452,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_1052]) ).

tff(c_1197,plain,
    ( ( xi = sz00 )
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_378,c_1181]) ).

tff(c_1220,plain,
    xi = sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_378,c_1197]) ).

tff(c_1252,plain,
    sdtlseqdt0(xj,sz00),
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_388]) ).

tff(c_3985,plain,
    ! [W1_620,W0_621] :
      ( ( W1_620 = W0_621 )
      | ~ sdtlseqdt0(W1_620,W0_621)
      | ~ sdtlseqdt0(W0_621,W1_620)
      | ~ aElementOf0(W1_620,szNzAzT0)
      | ~ aElementOf0(W0_621,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_4019,plain,
    ( ( xj = sz00 )
    | ~ sdtlseqdt0(sz00,xj)
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1252,c_3985]) ).

tff(c_4070,plain,
    ( ( xj = sz00 )
    | ~ sdtlseqdt0(sz00,xj) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_380,c_4019]) ).

tff(c_4071,plain,
    ~ sdtlseqdt0(sz00,xj),
    inference(negUnitSimplification,[status(thm)],[c_3382,c_4070]) ).

tff(c_4091,plain,
    ~ aElementOf0(xj,szNzAzT0),
    inference(resolution,[status(thm)],[c_126,c_4071]) ).

tff(c_4095,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_4091]) ).

tff(c_4097,plain,
    xj = sz00,
    inference(splitRight,[status(thm)],[c_3347]) ).

tff(c_1251,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,xj)),
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_386]) ).

tff(c_1255,plain,
    ~ aSubsetOf0(xS,sdtlpdtrp0(xN,xj)),
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_1251]) ).

tff(c_4143,plain,
    ~ aSubsetOf0(xS,sdtlpdtrp0(xN,sz00)),
    inference(demodulation,[status(thm),theory(equality)],[c_4097,c_1255]) ).

tff(c_4149,plain,
    ~ aSubsetOf0(xS,xS),
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_4143]) ).

tff(c_4160,plain,
    ~ aSet0(xS),
    inference(resolution,[status(thm)],[c_34,c_4149]) ).

tff(c_4164,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_609,c_4160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % 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
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 15:11:33 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 9.94/3.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.94/3.29  
% 9.94/3.29  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.07/3.32  
% 10.07/3.32  Inference rules
% 10.07/3.32  ----------------------
% 10.07/3.32  #Ref     : 1
% 10.07/3.32  #Sup     : 752
% 10.07/3.32  #Fact    : 0
% 10.07/3.32  #Define  : 0
% 10.07/3.32  #Split   : 27
% 10.07/3.32  #Chain   : 0
% 10.07/3.32  #Close   : 0
% 10.07/3.32  
% 10.07/3.32  Ordering : KBO
% 10.07/3.32  
% 10.07/3.32  Simplification rules
% 10.07/3.32  ----------------------
% 10.07/3.32  #Subsume      : 152
% 10.07/3.32  #Demod        : 596
% 10.07/3.32  #Tautology    : 209
% 10.07/3.32  #SimpNegUnit  : 39
% 10.07/3.32  #BackRed      : 61
% 10.07/3.32  
% 10.07/3.32  #Partial instantiations: 0
% 10.07/3.32  #Strategies tried      : 1
% 10.07/3.32  
% 10.07/3.32  Timing (in seconds)
% 10.07/3.32  ----------------------
% 10.07/3.32  Preprocessing        : 0.85
% 10.07/3.32  Parsing              : 0.41
% 10.07/3.32  CNF conversion       : 0.08
% 10.07/3.33  Main loop            : 1.37
% 10.07/3.33  Inferencing          : 0.49
% 10.07/3.33  Reduction            : 0.45
% 10.07/3.33  Demodulation         : 0.30
% 10.07/3.33  BG Simplification    : 0.08
% 10.07/3.33  Subsumption          : 0.29
% 10.07/3.33  Abstraction          : 0.04
% 10.07/3.33  MUC search           : 0.00
% 10.07/3.33  Cooper               : 0.00
% 10.07/3.33  Total                : 2.27
% 10.07/3.33  Index Insertion      : 0.00
% 10.07/3.33  Index Deletion       : 0.00
% 10.07/3.33  Index Matching       : 0.00
% 10.07/3.33  BG Taut test         : 0.00
%------------------------------------------------------------------------------