TSTP Solution File: RNG122+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG122+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 : n024.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 10:55:02 EDT 2023

% Result   : Theorem 48.97s 32.54s
% Output   : CNFRefutation 48.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  123 (  35 unt;  53 typ;   2 def)
%            Number of atoms       :  142 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  125 (  53   ~;  39   |;  19   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   88 (  41   >;  47   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   42 (  42 usr;  12 con; 0-4 aty)
%            Number of variables   :   40 (;  39   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xu > xr > xq > xc > xb > xa > xI > sz10 > sz00 > #skF_22 > #skF_6 > #skF_17 > #skF_25 > #skF_20 > #skF_4 > #skF_8 > #skF_14 > #skF_15 > #skF_26 > #skF_18 > #skF_23 > #skF_5 > #skF_19 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_2 > #skF_24 > #skF_12 > #skF_1 > #skF_16 > #skF_21 > #skF_10

%Foreground sorts:

%Background operators:

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

tff('#skF_22',type,
    '#skF_22': ( $i * $i ) > $i ).

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

tff(sbrdtbr0,type,
    sbrdtbr0: $i > $i ).

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

tff(aSet0,type,
    aSet0: $i > $o ).

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

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

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

tff(sdtpldt1,type,
    sdtpldt1: ( $i * $i ) > $i ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': $i ).

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

tff(aElement0,type,
    aElement0: $i > $o ).

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

tff(misRelativelyPrime0,type,
    misRelativelyPrime0: ( $i * $i ) > $o ).

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

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

tff(aIdeal0,type,
    aIdeal0: $i > $o ).

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

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

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

tff('#skF_14',type,
    '#skF_14': ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_18',type,
    '#skF_18': ( $i * $i ) > $i ).

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

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

tff(slsdtgt0,type,
    slsdtgt0: $i > $i ).

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

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

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i ) > $i ).

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

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

tff(aGcdOfAnd0,type,
    aGcdOfAnd0: ( $i * $i * $i ) > $o ).

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

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

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

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

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

tff(aDivisorOf0,type,
    aDivisorOf0: ( $i * $i ) > $o ).

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

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

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

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

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

tff(sdteqdtlpzmzozddtrp0,type,
    sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).

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

tff('#skF_16',type,
    '#skF_16': ( $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i ) > $i ).

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

tff(f_416,negated_conjecture,
    xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

tff(f_352,hypothesis,
    ( aElement0(xa)
    & aElement0(xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

tff(f_390,hypothesis,
    ~ ( aDivisorOf0(xu,xa)
      & aDivisorOf0(xu,xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).

tff(f_361,hypothesis,
    ( aIdeal0(xI)
    & ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

tff(f_205,definition,
    ! [W0] :
      ( aIdeal0(W0)
    <=> ( aSet0(W0)
        & ! [W1] :
            ( aElementOf0(W1,W0)
           => ( ! [W2] :
                  ( aElementOf0(W2,W0)
                 => aElementOf0(sdtpldt0(W1,W2),W0) )
              & ! [W2] :
                  ( aElement0(W2)
                 => aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

tff(f_373,hypothesis,
    ? [W0] :
      ( aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ( W0 != sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2228) ).

tff(f_137,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aElementOf0(W1,W0)
         => aElement0(W1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

tff(f_386,hypothesis,
    ( aElementOf0(xu,xI)
    & ( xu != sz00 )
    & ! [W0] :
        ( ( aElementOf0(W0,xI)
          & ( W0 != sz00 ) )
       => ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

tff(f_399,hypothesis,
    ~ ~ doDivides0(xu,xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).

tff(f_304,definition,
    ! [W0] :
      ( aElement0(W0)
     => ! [W1] :
          ( aDivisorOf0(W1,W0)
        <=> ( aElement0(W1)
            & doDivides0(W1,W0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).

tff(f_410,hypothesis,
    ( aElement0(xq)
    & aElement0(xr)
    & ( xb = sdtpldt0(sdtasdt0(xq,xu),xr) )
    & ( ( xr = sz00 )
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

tff(f_79,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

tff(f_47,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => aElement0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

tff(f_413,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2690) ).

tff(f_67,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtpldt0(W0,sz00) = W0 )
        & ( W0 = sdtpldt0(sz00,W0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

tff(f_73,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
        & ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).

tff(f_61,axiom,
    ! [W0,W1,W2] :
      ( ( aElement0(W0)
        & aElement0(W1)
        & aElement0(W2) )
     => ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

tff(c_264,plain,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_210,plain,
    aElement0(xa),
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_238,plain,
    ( ~ aDivisorOf0(xu,xb)
    | ~ aDivisorOf0(xu,xa) ),
    inference(cnfTransformation,[status(thm)],[f_390]) ).

tff(c_498,plain,
    ~ aDivisorOf0(xu,xa),
    inference(splitLeft,[status(thm)],[c_238]) ).

tff(c_218,plain,
    aIdeal0(xI),
    inference(cnfTransformation,[status(thm)],[f_361]) ).

tff(c_108,plain,
    ! [W0_117] :
      ( aSet0(W0_117)
      | ~ aIdeal0(W0_117) ),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_216,plain,
    sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
    inference(cnfTransformation,[status(thm)],[f_361]) ).

tff(c_230,plain,
    aElementOf0('#skF_24',sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_266,plain,
    aElementOf0('#skF_24',xI),
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_230]) ).

tff(c_682,plain,
    ! [W1_236,W0_237] :
      ( aElement0(W1_236)
      | ~ aElementOf0(W1_236,W0_237)
      | ~ aSet0(W0_237) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_718,plain,
    ( aElement0('#skF_24')
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_266,c_682]) ).

tff(c_728,plain,
    ~ aSet0(xI),
    inference(splitLeft,[status(thm)],[c_718]) ).

tff(c_740,plain,
    ~ aIdeal0(xI),
    inference(resolution,[status(thm)],[c_108,c_728]) ).

tff(c_744,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_740]) ).

tff(c_746,plain,
    aSet0(xI),
    inference(splitRight,[status(thm)],[c_718]) ).

tff(c_236,plain,
    aElementOf0(xu,xI),
    inference(cnfTransformation,[status(thm)],[f_386]) ).

tff(c_719,plain,
    ( aElement0(xu)
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_236,c_682]) ).

tff(c_772,plain,
    aElement0(xu),
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_719]) ).

tff(c_246,plain,
    doDivides0(xu,xa),
    inference(cnfTransformation,[status(thm)],[f_399]) ).

tff(c_2137,plain,
    ! [W1_278,W0_279] :
      ( aDivisorOf0(W1_278,W0_279)
      | ~ doDivides0(W1_278,W0_279)
      | ~ aElement0(W1_278)
      | ~ aElement0(W0_279) ),
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_2143,plain,
    ( aDivisorOf0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xa) ),
    inference(resolution,[status(thm)],[c_246,c_2137]) ).

tff(c_2147,plain,
    aDivisorOf0(xu,xa),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_772,c_2143]) ).

tff(c_2149,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_498,c_2147]) ).

tff(c_2151,plain,
    aDivisorOf0(xu,xa),
    inference(splitRight,[status(thm)],[c_238]) ).

tff(c_2289,plain,
    ! [W1_282,W0_283] :
      ( aElement0(W1_282)
      | ~ aDivisorOf0(W1_282,W0_283)
      | ~ aElement0(W0_283) ),
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_2292,plain,
    ( aElement0(xu)
    | ~ aElement0(xa) ),
    inference(resolution,[status(thm)],[c_2151,c_2289]) ).

tff(c_2295,plain,
    aElement0(xu),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_2292]) ).

tff(c_256,plain,
    aElement0(xq),
    inference(cnfTransformation,[status(thm)],[f_410]) ).

tff(c_3503,plain,
    ! [W1_321,W0_322] :
      ( ( sdtasdt0(W1_321,W0_322) = sdtasdt0(W0_322,W1_321) )
      | ~ aElement0(W1_321)
      | ~ aElement0(W0_322) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_15778,plain,
    ! [W0_522] :
      ( ( sdtasdt0(xq,W0_522) = sdtasdt0(W0_522,xq) )
      | ~ aElement0(W0_522) ),
    inference(resolution,[status(thm)],[c_256,c_3503]) ).

tff(c_16001,plain,
    sdtasdt0(xu,xq) = sdtasdt0(xq,xu),
    inference(resolution,[status(thm)],[c_2295,c_15778]) ).

tff(c_12,plain,
    ! [W0_5,W1_6] :
      ( aElement0(sdtasdt0(W0_5,W1_6))
      | ~ aElement0(W1_6)
      | ~ aElement0(W0_5) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_16178,plain,
    ( aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu) ),
    inference(superposition,[status(thm),theory(equality)],[c_16001,c_12]) ).

tff(c_16205,plain,
    aElement0(sdtasdt0(xq,xu)),
    inference(demodulation,[status(thm),theory(equality)],[c_2295,c_256,c_16178]) ).

tff(c_2357,plain,
    ! [W1_285,W0_286] :
      ( aElement0(W1_285)
      | ~ aElementOf0(W1_285,W0_286)
      | ~ aSet0(W0_286) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_2393,plain,
    ( aElement0('#skF_24')
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_266,c_2357]) ).

tff(c_2412,plain,
    ~ aSet0(xI),
    inference(splitLeft,[status(thm)],[c_2393]) ).

tff(c_2424,plain,
    ~ aIdeal0(xI),
    inference(resolution,[status(thm)],[c_108,c_2412]) ).

tff(c_2428,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_2424]) ).

tff(c_2430,plain,
    aSet0(xI),
    inference(splitRight,[status(thm)],[c_2393]) ).

tff(c_260,plain,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_2382,plain,
    ( aElement0(smndt0(sdtasdt0(xq,xu)))
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_260,c_2357]) ).

tff(c_2647,plain,
    aElement0(smndt0(sdtasdt0(xq,xu))),
    inference(demodulation,[status(thm),theory(equality)],[c_2430,c_2382]) ).

tff(c_254,plain,
    aElement0(xr),
    inference(cnfTransformation,[status(thm)],[f_410]) ).

tff(c_272,plain,
    ! [W0_227] :
      ( ( sdtpldt0(sz00,W0_227) = W0_227 )
      | ~ aElement0(W0_227) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_302,plain,
    sdtpldt0(sz00,xr) = xr,
    inference(resolution,[status(thm)],[c_254,c_272]) ).

tff(c_252,plain,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    inference(cnfTransformation,[status(thm)],[f_410]) ).

tff(c_22,plain,
    ! [W0_13] :
      ( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
      | ~ aElement0(W0_13) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_5953,plain,
    ! [W0_376,W1_377,W2_378] :
      ( ( sdtpldt0(sdtpldt0(W0_376,W1_377),W2_378) = sdtpldt0(W0_376,sdtpldt0(W1_377,W2_378)) )
      | ~ aElement0(W2_378)
      | ~ aElement0(W1_377)
      | ~ aElement0(W0_376) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_80539,plain,
    ! [W0_734,W2_735] :
      ( ( sdtpldt0(smndt0(W0_734),sdtpldt0(W0_734,W2_735)) = sdtpldt0(sz00,W2_735) )
      | ~ aElement0(W2_735)
      | ~ aElement0(W0_734)
      | ~ aElement0(smndt0(W0_734))
      | ~ aElement0(W0_734) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_5953]) ).

tff(c_80953,plain,
    ( ( sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) = sdtpldt0(sz00,xr) )
    | ~ aElement0(xr)
    | ~ aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(smndt0(sdtasdt0(xq,xu)))
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(superposition,[status(thm),theory(equality)],[c_252,c_80539]) ).

tff(c_81180,plain,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) = xr,
    inference(demodulation,[status(thm),theory(equality)],[c_16205,c_2647,c_16205,c_254,c_302,c_80953]) ).

tff(c_81182,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_264,c_81180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : RNG122+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 18:05:00 EDT 2023
% 0.21/0.36  % CPUTime  : 
% 48.97/32.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.97/32.55  
% 48.97/32.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 48.97/32.58  
% 48.97/32.58  Inference rules
% 48.97/32.58  ----------------------
% 48.97/32.58  #Ref     : 0
% 48.97/32.58  #Sup     : 18033
% 48.97/32.58  #Fact    : 0
% 48.97/32.58  #Define  : 0
% 48.97/32.58  #Split   : 30
% 48.97/32.58  #Chain   : 0
% 48.97/32.58  #Close   : 0
% 48.97/32.58  
% 48.97/32.58  Ordering : KBO
% 48.97/32.58  
% 48.97/32.58  Simplification rules
% 48.97/32.58  ----------------------
% 48.97/32.58  #Subsume      : 1469
% 48.97/32.58  #Demod        : 28757
% 48.97/32.58  #Tautology    : 6121
% 48.97/32.58  #SimpNegUnit  : 184
% 48.97/32.58  #BackRed      : 31
% 48.97/32.58  
% 48.97/32.58  #Partial instantiations: 0
% 48.97/32.58  #Strategies tried      : 1
% 48.97/32.58  
% 48.97/32.58  Timing (in seconds)
% 48.97/32.58  ----------------------
% 48.97/32.59  Preprocessing        : 0.72
% 48.97/32.59  Parsing              : 0.35
% 48.97/32.59  CNF conversion       : 0.07
% 48.97/32.59  Main loop            : 30.76
% 48.97/32.59  Inferencing          : 3.54
% 48.97/32.59  Reduction            : 20.57
% 48.97/32.59  Demodulation         : 18.76
% 48.97/32.59  BG Simplification    : 0.18
% 48.97/32.59  Subsumption          : 5.33
% 48.97/32.59  Abstraction          : 0.27
% 48.97/32.59  MUC search           : 0.00
% 48.97/32.59  Cooper               : 0.00
% 48.97/32.59  Total                : 31.54
% 48.97/32.59  Index Insertion      : 0.00
% 48.97/32.59  Index Deletion       : 0.00
% 48.97/32.59  Index Matching       : 0.00
% 48.97/32.59  BG Taut test         : 0.00
%------------------------------------------------------------------------------