TSTP Solution File: NUM566+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM566+3 : 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 : n032.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 10:52:09 EDT 2023

% Result   : Theorem 81.52s 63.57s
% Output   : CNFRefutation 81.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  112 (  15 unt;  69 typ;   0 def)
%            Number of atoms       :  140 (  31 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  157 (  60   ~;  55   |;  28   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  131 (  62   >;  69   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   60 (  60 usr;   7 con; 0-4 aty)
%            Number of variables   :   46 (;  42   !;   4   ?;   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 > xc > xT > xS > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #skF_38 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16 > #skF_39

%Foreground sorts:

%Background operators:

%Foreground operators:
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('#skF_31',type,
    '#skF_31': ( $i * $i * $i ) > $i ).

tff('#skF_33',type,
    '#skF_33': ( $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(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('#skF_37',type,
    '#skF_37': $i > $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_38',type,
    '#skF_38': ( $i * $i ) > $i ).

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

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

tff('#skF_29',type,
    '#skF_29': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_30',type,
    '#skF_30': ( $i * $i * $i ) > $i ).

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

tff('#skF_32',type,
    '#skF_32': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_35',type,
    '#skF_35': ( $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(aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

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

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

tff('#skF_28',type,
    '#skF_28': ( $i * $i ) > $i ).

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

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

tff('#skF_34',type,
    '#skF_34': ( $i * $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('#skF_27',type,
    '#skF_27': $i > $i ).

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

tff('#skF_36',type,
    '#skF_36': ( $i * $i * $i * $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('#skF_39',type,
    '#skF_39': ( $i * $i ) > $i ).

tff(f_818,hypothesis,
    xK = sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

tff(f_721,hypothesis,
    ( aFunction0(xc)
    & ! [W0] :
        ( ( aElementOf0(W0,szDzozmdt0(xc))
         => ( aSet0(W0)
            & ! [W1] :
                ( aElementOf0(W1,W0)
               => aElementOf0(W1,xS) )
            & aSubsetOf0(W0,xS)
            & ( sbrdtbr0(W0) = xK ) ) )
        & ( ( ( ( aSet0(W0)
                & ! [W1] :
                    ( aElementOf0(W1,W0)
                   => aElementOf0(W1,xS) ) )
              | aSubsetOf0(W0,xS) )
            & ( sbrdtbr0(W0) = xK ) )
         => aElementOf0(W0,szDzozmdt0(xc)) ) )
    & ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & ! [W0] :
        ( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [W1] :
            ( aElementOf0(W1,szDzozmdt0(xc))
            & ( sdtlpdtrp0(xc,W1) = W0 ) ) )
    & ! [W0] :
        ( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(W0,xT) )
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

tff(f_832,hypothesis,
    ( aSet0(slcrc0)
    & ~ ? [W0] : aElementOf0(W0,slcrc0)
    & ! [W0] :
        ( aElementOf0(W0,slcrc0)
       => aElementOf0(W0,xS) )
    & aSubsetOf0(slcrc0,xS)
    & aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3476) ).

tff(f_674,hypothesis,
    ( aSet0(xS)
    & ! [W0] :
        ( aElementOf0(W0,xS)
       => aElementOf0(W0,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

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

tff(f_884,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,xT)
        & ? [W1] :
            ( ( ( aSet0(W1)
                & ! [W2] :
                    ( aElementOf0(W2,W1)
                   => aElementOf0(W2,xS) ) )
              | aSubsetOf0(W1,xS) )
            & isCountable0(W1)
            & ! [W2] :
                ( ( aSet0(W2)
                  & ! [W3] :
                      ( aElementOf0(W3,W2)
                     => aElementOf0(W3,W1) )
                  & aSubsetOf0(W2,W1)
                  & ( sbrdtbr0(W2) = xK )
                  & aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
               => ( sdtlpdtrp0(xc,W2) = W0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

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

tff(c_8314,plain,
    xK = sz00,
    inference(cnfTransformation,[status(thm)],[f_818]) ).

tff(c_354,plain,
    slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
    inference(cnfTransformation,[status(thm)],[f_721]) ).

tff(c_12368,plain,
    slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
    inference(demodulation,[status(thm),theory(equality)],[c_8314,c_354]) ).

tff(c_8316,plain,
    aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
    inference(cnfTransformation,[status(thm)],[f_832]) ).

tff(c_12369,plain,
    aElementOf0(slcrc0,szDzozmdt0(xc)),
    inference(demodulation,[status(thm),theory(equality)],[c_12368,c_8316]) ).

tff(c_17060,plain,
    ! [W1_845] :
      ( aElementOf0(sdtlpdtrp0(xc,W1_845),sdtlcdtrc0(xc,szDzozmdt0(xc)))
      | ~ aElementOf0(W1_845,szDzozmdt0(xc)) ),
    inference(cnfTransformation,[status(thm)],[f_721]) ).

tff(c_348,plain,
    ! [W0_321] :
      ( aElementOf0(W0_321,xT)
      | ~ aElementOf0(W0_321,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(cnfTransformation,[status(thm)],[f_721]) ).

tff(c_17097,plain,
    ! [W1_845] :
      ( aElementOf0(sdtlpdtrp0(xc,W1_845),xT)
      | ~ aElementOf0(W1_845,szDzozmdt0(xc)) ),
    inference(resolution,[status(thm)],[c_17060,c_348]) ).

tff(c_17196,plain,
    ! [W1_847] :
      ( aElementOf0(sdtlpdtrp0(xc,W1_847),xT)
      | ~ aElementOf0(W1_847,szDzozmdt0(xc)) ),
    inference(resolution,[status(thm)],[c_17060,c_348]) ).

tff(c_344,plain,
    aSet0(xS),
    inference(cnfTransformation,[status(thm)],[f_674]) ).

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

tff(c_338,plain,
    isCountable0(xS),
    inference(cnfTransformation,[status(thm)],[f_674]) ).

tff(c_8366,plain,
    ! [W0_579,W1_589] :
      ( aElementOf0('#skF_38'(W0_579,W1_589),W1_589)
      | ~ aSet0(W1_589)
      | ( sbrdtbr0('#skF_39'(W0_579,W1_589)) = xK )
      | ~ isCountable0(W1_589)
      | ~ aElementOf0(W0_579,xT) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_8394,plain,
    ! [W0_579,W1_589] :
      ( aElementOf0('#skF_38'(W0_579,W1_589),W1_589)
      | ~ aSet0(W1_589)
      | ( sbrdtbr0('#skF_39'(W0_579,W1_589)) = sz00 )
      | ~ isCountable0(W1_589)
      | ~ aElementOf0(W0_579,xT) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8314,c_8366]) ).

tff(c_8364,plain,
    ! [W0_579,W1_589] :
      ( ~ aElementOf0('#skF_38'(W0_579,W1_589),xS)
      | ~ aSet0(W1_589)
      | ( sbrdtbr0('#skF_39'(W0_579,W1_589)) = xK )
      | ~ isCountable0(W1_589)
      | ~ aElementOf0(W0_579,xT) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_13900,plain,
    ! [W0_716,W1_717] :
      ( ~ aElementOf0('#skF_38'(W0_716,W1_717),xS)
      | ~ aSet0(W1_717)
      | ( sbrdtbr0('#skF_39'(W0_716,W1_717)) = sz00 )
      | ~ isCountable0(W1_717)
      | ~ aElementOf0(W0_716,xT) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8314,c_8364]) ).

tff(c_13904,plain,
    ! [W0_579] :
      ( ~ aSet0(xS)
      | ( sbrdtbr0('#skF_39'(W0_579,xS)) = sz00 )
      | ~ isCountable0(xS)
      | ~ aElementOf0(W0_579,xT) ),
    inference(resolution,[status(thm)],[c_8394,c_13900]) ).

tff(c_13915,plain,
    ! [W0_579] :
      ( ( sbrdtbr0('#skF_39'(W0_579,xS)) = sz00 )
      | ~ aElementOf0(W0_579,xT) ),
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_344,c_13904]) ).

tff(c_8380,plain,
    ! [W1_589,W0_579] :
      ( ~ aSubsetOf0(W1_589,xS)
      | aSet0('#skF_39'(W0_579,W1_589))
      | ~ isCountable0(W1_589)
      | ~ aElementOf0(W0_579,xT) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_12609,plain,
    ! [W0_630] :
      ( ( slcrc0 = W0_630 )
      | ( sbrdtbr0(W0_630) != sz00 )
      | ~ aSet0(W0_630) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_14092,plain,
    ! [W0_742,W1_743] :
      ( ( '#skF_39'(W0_742,W1_743) = slcrc0 )
      | ( sbrdtbr0('#skF_39'(W0_742,W1_743)) != sz00 )
      | ~ aSubsetOf0(W1_743,xS)
      | ~ isCountable0(W1_743)
      | ~ aElementOf0(W0_742,xT) ),
    inference(resolution,[status(thm)],[c_8380,c_12609]) ).

tff(c_14095,plain,
    ! [W0_579] :
      ( ( '#skF_39'(W0_579,xS) = slcrc0 )
      | ~ aSubsetOf0(xS,xS)
      | ~ isCountable0(xS)
      | ~ aElementOf0(W0_579,xT) ),
    inference(superposition,[status(thm),theory(equality)],[c_13915,c_14092]) ).

tff(c_14101,plain,
    ! [W0_579] :
      ( ( '#skF_39'(W0_579,xS) = slcrc0 )
      | ~ aSubsetOf0(xS,xS)
      | ~ aElementOf0(W0_579,xT) ),
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_14095]) ).

tff(c_14397,plain,
    ~ aSubsetOf0(xS,xS),
    inference(splitLeft,[status(thm)],[c_14101]) ).

tff(c_14400,plain,
    ~ aSet0(xS),
    inference(resolution,[status(thm)],[c_34,c_14397]) ).

tff(c_14404,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_344,c_14400]) ).

tff(c_14405,plain,
    ! [W0_579] :
      ( ( '#skF_39'(W0_579,xS) = slcrc0 )
      | ~ aElementOf0(W0_579,xT) ),
    inference(splitRight,[status(thm)],[c_14101]) ).

tff(c_17368,plain,
    ! [W1_854] :
      ( ( '#skF_39'(sdtlpdtrp0(xc,W1_854),xS) = slcrc0 )
      | ~ aElementOf0(W1_854,szDzozmdt0(xc)) ),
    inference(resolution,[status(thm)],[c_17196,c_14405]) ).

tff(c_17461,plain,
    '#skF_39'(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0,
    inference(resolution,[status(thm)],[c_12369,c_17368]) ).

tff(c_12900,plain,
    ! [W0_657,W1_658] :
      ( aElementOf0('#skF_38'(W0_657,W1_658),W1_658)
      | ~ aSet0(W1_658)
      | ( sdtlpdtrp0(xc,'#skF_39'(W0_657,W1_658)) != W0_657 )
      | ~ isCountable0(W1_658)
      | ~ aElementOf0(W0_657,xT) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_8352,plain,
    ! [W0_579,W1_589] :
      ( ~ aElementOf0('#skF_38'(W0_579,W1_589),xS)
      | ~ aSet0(W1_589)
      | ( sdtlpdtrp0(xc,'#skF_39'(W0_579,W1_589)) != W0_579 )
      | ~ isCountable0(W1_589)
      | ~ aElementOf0(W0_579,xT) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_12904,plain,
    ! [W0_657] :
      ( ~ aSet0(xS)
      | ( sdtlpdtrp0(xc,'#skF_39'(W0_657,xS)) != W0_657 )
      | ~ isCountable0(xS)
      | ~ aElementOf0(W0_657,xT) ),
    inference(resolution,[status(thm)],[c_12900,c_8352]) ).

tff(c_12946,plain,
    ! [W0_657] :
      ( ( sdtlpdtrp0(xc,'#skF_39'(W0_657,xS)) != W0_657 )
      | ~ aElementOf0(W0_657,xT) ),
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_344,c_12904]) ).

tff(c_17553,plain,
    ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
    inference(superposition,[status(thm),theory(equality)],[c_17461,c_12946]) ).

tff(c_17627,plain,
    ~ aElementOf0(slcrc0,szDzozmdt0(xc)),
    inference(resolution,[status(thm)],[c_17097,c_17553]) ).

tff(c_17631,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12369,c_17627]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % 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
% 0.13/0.33  % Computer : n032.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 : Thu Aug  3 15:18:06 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 81.52/63.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.52/63.57  
% 81.52/63.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 81.52/63.61  
% 81.52/63.61  Inference rules
% 81.52/63.61  ----------------------
% 81.52/63.61  #Ref     : 1
% 81.52/63.61  #Sup     : 962
% 81.52/63.61  #Fact    : 0
% 81.52/63.61  #Define  : 0
% 81.52/63.61  #Split   : 33
% 81.52/63.61  #Chain   : 0
% 81.52/63.61  #Close   : 0
% 81.52/63.61  
% 81.52/63.61  Ordering : KBO
% 81.52/63.61  
% 81.52/63.61  Simplification rules
% 81.52/63.61  ----------------------
% 81.52/63.61  #Subsume      : 868
% 81.52/63.61  #Demod        : 4885
% 81.52/63.61  #Tautology    : 216
% 81.52/63.61  #SimpNegUnit  : 45
% 81.52/63.61  #BackRed      : 86
% 81.52/63.61  
% 81.52/63.61  #Partial instantiations: 0
% 81.52/63.61  #Strategies tried      : 1
% 81.52/63.61  
% 81.52/63.61  Timing (in seconds)
% 81.52/63.61  ----------------------
% 81.52/63.61  Preprocessing        : 2.08
% 81.52/63.61  Parsing              : 0.42
% 81.52/63.61  CNF conversion       : 0.18
% 81.52/63.61  Main loop            : 60.50
% 81.52/63.61  Inferencing          : 0.37
% 81.52/63.61  Reduction            : 46.49
% 81.52/63.61  Demodulation         : 40.30
% 81.52/63.61  BG Simplification    : 0.74
% 81.52/63.61  Subsumption          : 11.21
% 81.52/63.61  Abstraction          : 0.57
% 81.52/63.61  MUC search           : 0.00
% 81.52/63.61  Cooper               : 0.00
% 81.52/63.61  Total                : 62.63
% 81.52/63.61  Index Insertion      : 0.00
% 81.52/63.61  Index Deletion       : 0.00
% 81.52/63.61  Index Matching       : 0.00
% 81.52/63.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------