TSTP Solution File: RNG071+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG071+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 : n027.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 10:54:52 EDT 2023

% Result   : Theorem 10.90s 3.65s
% Output   : CNFRefutation 10.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  116 (  41 unt;  33 typ;   0 def)
%            Number of atoms       :  171 (  21 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  155 (  67   ~;  56   |;  22   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  15   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  18 con; 0-2 aty)
%            Number of variables   :   30 (;  30   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aVector0 > aScalar0 > aNaturalNumber0 > sdtpldt0 > sdtlbdtrb0 > sdtasdt0 > sdtasasdt0 > #nlpp > szszuzczcdt0 > sziznziztdt0 > smndt0 > aDimensionOf0 > xt > xs > xq > xp > xS > xR > xP > xN > xH > xG > xF > xE > xD > xC > xB > xA > sz0z00 > sz00 > #skF_1 > #skF_2

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff(sziznziztdt0,type,
    sziznziztdt0: $i > $i ).

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

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

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

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

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

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

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

tff(aDimensionOf0,type,
    aDimensionOf0: $i > $i ).

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

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

tff(sz0z00,type,
    sz0z00: $i ).

tff(smndt0,type,
    smndt0: $i > $i ).

tff(aScalar0,type,
    aScalar0: $i > $o ).

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

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

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

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

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

tff(sdtasasdt0,type,
    sdtasasdt0: ( $i * $i ) > $i ).

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

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

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

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

tff(aVector0,type,
    aVector0: $i > $o ).

tff(f_374,hypothesis,
    ( aScalar0(xR)
    & ( xR = sdtasdt0(xC,xG) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

tff(f_380,hypothesis,
    ( aScalar0(xS)
    & ( xS = sdtasdt0(xF,xD) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

tff(f_356,hypothesis,
    ( aScalar0(xC)
    & ( xC = sdtasasdt0(xp,xp) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

tff(f_368,hypothesis,
    ( aScalar0(xG)
    & ( xG = sdtasdt0(xB,xB) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).

tff(f_344,hypothesis,
    ( aVector0(xp)
    & ( xp = sziznziztdt0(xs) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).

tff(f_325,axiom,
    ! [W0] :
      ( aVector0(W0)
     => sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).

tff(f_353,hypothesis,
    ( aScalar0(xB)
    & ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).

tff(f_239,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).

tff(f_235,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( ( sdtlseqdt0(sz0z00,W0)
          & sdtlseqdt0(sz0z00,W1) )
       => ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))
          & sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).

tff(f_365,hypothesis,
    ( aScalar0(xF)
    & ( xF = sdtasdt0(xA,xA) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

tff(f_359,hypothesis,
    ( aScalar0(xD)
    & ( xD = sdtasasdt0(xq,xq) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

tff(f_350,hypothesis,
    ( aScalar0(xA)
    & ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).

tff(f_347,hypothesis,
    ( aVector0(xq)
    & ( xq = sziznziztdt0(xt) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).

tff(f_394,negated_conjecture,
    ~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
      & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

tff(f_70,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

tff(f_377,hypothesis,
    ( aScalar0(xP)
    & ( xP = sdtasdt0(xE,xH) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

tff(f_76,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => aScalar0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

tff(f_173,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W0) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).

tff(f_185,axiom,
    ! [W0,W1,W2] :
      ( ( aScalar0(W0)
        & aScalar0(W1)
        & aScalar0(W2) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W2) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).

tff(f_389,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).

tff(f_223,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W0)
        & aScalar0(W1) )
     => ( sdtlseqdt0(W0,W1)
        | sdtlseqdt0(W1,W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

tff(c_166,plain,
    aScalar0(xR),
    inference(cnfTransformation,[status(thm)],[f_374]) ).

tff(c_174,plain,
    aScalar0(xS),
    inference(cnfTransformation,[status(thm)],[f_380]) ).

tff(c_142,plain,
    aScalar0(xC),
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_158,plain,
    aScalar0(xG),
    inference(cnfTransformation,[status(thm)],[f_368]) ).

tff(c_126,plain,
    aVector0(xp),
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_140,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_743,plain,
    ! [W0_93] :
      ( sdtlseqdt0(sz0z00,sdtasasdt0(W0_93,W0_93))
      | ~ aVector0(W0_93) ),
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_746,plain,
    ( sdtlseqdt0(sz0z00,xC)
    | ~ aVector0(xp) ),
    inference(superposition,[status(thm),theory(equality)],[c_140,c_743]) ).

tff(c_751,plain,
    sdtlseqdt0(sz0z00,xC),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_746]) ).

tff(c_138,plain,
    aScalar0(xB),
    inference(cnfTransformation,[status(thm)],[f_353]) ).

tff(c_156,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnfTransformation,[status(thm)],[f_368]) ).

tff(c_727,plain,
    ! [W0_92] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_92,W0_92))
      | ~ aScalar0(W0_92) ),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_736,plain,
    ( sdtlseqdt0(sz0z00,xG)
    | ~ aScalar0(xB) ),
    inference(superposition,[status(thm),theory(equality)],[c_156,c_727]) ).

tff(c_742,plain,
    sdtlseqdt0(sz0z00,xG),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_736]) ).

tff(c_164,plain,
    sdtasdt0(xC,xG) = xR,
    inference(cnfTransformation,[status(thm)],[f_374]) ).

tff(c_3314,plain,
    ! [W0_146,W1_147] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(W0_146,W1_147))
      | ~ sdtlseqdt0(sz0z00,W1_147)
      | ~ sdtlseqdt0(sz0z00,W0_146)
      | ~ aScalar0(W1_147)
      | ~ aScalar0(W0_146) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_3424,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xG)
    | ~ sdtlseqdt0(sz0z00,xC)
    | ~ aScalar0(xG)
    | ~ aScalar0(xC) ),
    inference(superposition,[status(thm),theory(equality)],[c_164,c_3314]) ).

tff(c_3508,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_158,c_751,c_742,c_3424]) ).

tff(c_154,plain,
    aScalar0(xF),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_146,plain,
    aScalar0(xD),
    inference(cnfTransformation,[status(thm)],[f_359]) ).

tff(c_134,plain,
    aScalar0(xA),
    inference(cnfTransformation,[status(thm)],[f_350]) ).

tff(c_152,plain,
    sdtasdt0(xA,xA) = xF,
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_733,plain,
    ( sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xA) ),
    inference(superposition,[status(thm),theory(equality)],[c_152,c_727]) ).

tff(c_740,plain,
    sdtlseqdt0(sz0z00,xF),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_733]) ).

tff(c_130,plain,
    aVector0(xq),
    inference(cnfTransformation,[status(thm)],[f_347]) ).

tff(c_144,plain,
    sdtasasdt0(xq,xq) = xD,
    inference(cnfTransformation,[status(thm)],[f_359]) ).

tff(c_749,plain,
    ( sdtlseqdt0(sz0z00,xD)
    | ~ aVector0(xq) ),
    inference(superposition,[status(thm),theory(equality)],[c_144,c_743]) ).

tff(c_753,plain,
    sdtlseqdt0(sz0z00,xD),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_749]) ).

tff(c_172,plain,
    sdtasdt0(xF,xD) = xS,
    inference(cnfTransformation,[status(thm)],[f_380]) ).

tff(c_3433,plain,
    ( sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xD)
    | ~ sdtlseqdt0(sz0z00,xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xF) ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_3314]) ).

tff(c_3514,plain,
    sdtlseqdt0(sz0z00,xS),
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_146,c_740,c_753,c_3433]) ).

tff(c_3607,plain,
    ! [W0_150,W1_151] :
      ( sdtlseqdt0(sz0z00,sdtpldt0(W0_150,W1_151))
      | ~ sdtlseqdt0(sz0z00,W1_151)
      | ~ sdtlseqdt0(sz0z00,W0_150)
      | ~ aScalar0(W1_151)
      | ~ aScalar0(W0_150) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_192,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    inference(cnfTransformation,[status(thm)],[f_394]) ).

tff(c_194,plain,
    ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(splitLeft,[status(thm)],[c_192]) ).

tff(c_3612,plain,
    ( ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR)
    | ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[c_3607,c_194]) ).

tff(c_3736,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_174,c_3508,c_3514,c_3612]) ).

tff(c_3737,plain,
    ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
    inference(splitRight,[status(thm)],[c_192]) ).

tff(c_22,plain,
    aScalar0(sz0z00),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_170,plain,
    aScalar0(xP),
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_24,plain,
    ! [W0_11,W1_12] :
      ( aScalar0(sdtpldt0(W0_11,W1_12))
      | ~ aScalar0(W1_12)
      | ~ aScalar0(W0_11) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_3738,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(splitRight,[status(thm)],[c_192]) ).

tff(c_6117,plain,
    ! [W1_205,W0_206] :
      ( ( W1_205 = W0_206 )
      | ~ sdtlseqdt0(W1_205,W0_206)
      | ~ sdtlseqdt0(W0_206,W1_205)
      | ~ aScalar0(W1_205)
      | ~ aScalar0(W0_206) ),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_6145,plain,
    ( ( sdtpldt0(xR,xS) = sz0z00 )
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(resolution,[status(thm)],[c_3738,c_6117]) ).

tff(c_6179,plain,
    ( ( sdtpldt0(xR,xS) = sz0z00 )
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sz0z00)
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_6145]) ).

tff(c_6241,plain,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(splitLeft,[status(thm)],[c_6179]) ).

tff(c_6256,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[c_24,c_6241]) ).

tff(c_6260,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_174,c_6256]) ).

tff(c_6262,plain,
    aScalar0(sdtpldt0(xR,xS)),
    inference(splitRight,[status(thm)],[c_6179]) ).

tff(c_8608,plain,
    ! [W0_225,W2_226,W1_227] :
      ( sdtlseqdt0(W0_225,W2_226)
      | ~ sdtlseqdt0(W1_227,W2_226)
      | ~ sdtlseqdt0(W0_225,W1_227)
      | ~ aScalar0(W2_226)
      | ~ aScalar0(W1_227)
      | ~ aScalar0(W0_225) ),
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_8642,plain,
    ! [W0_225] :
      ( sdtlseqdt0(W0_225,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(W0_225,sz0z00)
      | ~ aScalar0(sdtpldt0(xR,xS))
      | ~ aScalar0(sz0z00)
      | ~ aScalar0(W0_225) ),
    inference(resolution,[status(thm)],[c_3738,c_8608]) ).

tff(c_8751,plain,
    ! [W0_228] :
      ( sdtlseqdt0(W0_228,sdtpldt0(xR,xS))
      | ~ sdtlseqdt0(W0_228,sz0z00)
      | ~ aScalar0(W0_228) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_6262,c_8642]) ).

tff(c_188,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnfTransformation,[status(thm)],[f_389]) ).

tff(c_8765,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(resolution,[status(thm)],[c_8751,c_188]) ).

tff(c_9676,plain,
    ~ aScalar0(sdtpldt0(xP,xP)),
    inference(splitLeft,[status(thm)],[c_8765]) ).

tff(c_9679,plain,
    ~ aScalar0(xP),
    inference(resolution,[status(thm)],[c_24,c_9676]) ).

tff(c_9683,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_170,c_9679]) ).

tff(c_9685,plain,
    aScalar0(sdtpldt0(xP,xP)),
    inference(splitRight,[status(thm)],[c_8765]) ).

tff(c_78,plain,
    ! [W1_48,W0_47] :
      ( sdtlseqdt0(W1_48,W0_47)
      | sdtlseqdt0(W0_47,W1_48)
      | ~ aScalar0(W1_48)
      | ~ aScalar0(W0_47) ),
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_9684,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00),
    inference(splitRight,[status(thm)],[c_8765]) ).

tff(c_9718,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sz0z00) ),
    inference(resolution,[status(thm)],[c_78,c_9684]) ).

tff(c_9724,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_9685,c_9718]) ).

tff(c_9726,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3737,c_9724]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG071+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % 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
% 0.13/0.33  % Computer : n027.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 18:15:54 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 10.90/3.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.90/3.66  
% 10.90/3.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.90/3.69  
% 10.90/3.69  Inference rules
% 10.90/3.69  ----------------------
% 10.90/3.69  #Ref     : 2
% 10.90/3.69  #Sup     : 2335
% 10.90/3.69  #Fact    : 4
% 10.90/3.69  #Define  : 0
% 10.90/3.69  #Split   : 27
% 10.90/3.69  #Chain   : 0
% 10.90/3.69  #Close   : 0
% 10.90/3.69  
% 10.90/3.69  Ordering : KBO
% 10.90/3.69  
% 10.90/3.69  Simplification rules
% 10.90/3.69  ----------------------
% 10.90/3.69  #Subsume      : 252
% 10.90/3.69  #Demod        : 2367
% 10.90/3.69  #Tautology    : 1209
% 10.90/3.69  #SimpNegUnit  : 116
% 10.90/3.69  #BackRed      : 85
% 10.90/3.69  
% 10.90/3.69  #Partial instantiations: 0
% 10.90/3.69  #Strategies tried      : 1
% 10.90/3.69  
% 10.90/3.69  Timing (in seconds)
% 10.90/3.69  ----------------------
% 10.90/3.69  Preprocessing        : 0.69
% 10.90/3.70  Parsing              : 0.35
% 10.90/3.70  CNF conversion       : 0.05
% 10.90/3.70  Main loop            : 1.94
% 10.90/3.70  Inferencing          : 0.63
% 10.90/3.70  Reduction            : 0.74
% 10.90/3.70  Demodulation         : 0.58
% 10.90/3.70  BG Simplification    : 0.07
% 10.90/3.70  Subsumption          : 0.38
% 10.90/3.70  Abstraction          : 0.06
% 10.90/3.70  MUC search           : 0.00
% 10.90/3.70  Cooper               : 0.00
% 10.90/3.70  Total                : 2.69
% 10.90/3.70  Index Insertion      : 0.00
% 10.90/3.70  Index Deletion       : 0.00
% 10.90/3.70  Index Matching       : 0.00
% 10.90/3.70  BG Taut test         : 0.00
%------------------------------------------------------------------------------