TSTP Solution File: RNG120+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG120+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 : n014.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 10:55:01 EDT 2023

% Result   : Theorem 28.29s 14.14s
% Output   : CNFRefutation 28.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   70
% Syntax   : Number of formulae    :  122 (  31 unt;  53 typ;   3 def)
%            Number of atoms       :  150 (  17 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  145 (  64   ~;  47   |;  18   &)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   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   :   48 (;  46   !;   2   ?;   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_361,hypothesis,
    ( aIdeal0(xI)
    & ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

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_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_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_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_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_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_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_31,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

tff(f_35,axiom,
    ! [W0] :
      ( aElement0(W0)
     => aElement0(smndt0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).

tff(f_109,axiom,
    ! [W0] :
      ( aElement0(W0)
     => ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
        & ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).

tff(f_345,definition,
    ! [W0] :
      ( aElement0(W0)
     => ! [W1] :
          ( ( W1 = slsdtgt0(W0) )
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
              <=> ? [W3] :
                    ( aElement0(W3)
                    & ( sdtasdt0(W0,W3) = W2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

tff(f_414,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

tff(c_110,plain,
    ! [W2_134,W1_130,W0_117] :
      ( aElementOf0(sdtasdt0(W2_134,W1_130),W0_117)
      | ~ aElement0(W2_134)
      | ~ aElementOf0(W1_130,W0_117)
      | ~ aIdeal0(W0_117) ),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

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_276,plain,
    ~ aDivisorOf0(xu,xa),
    inference(splitLeft,[status(thm)],[c_238]) ).

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_262,plain,
    aElementOf0('#skF_24',xI),
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_230]) ).

tff(c_657,plain,
    ! [W1_238,W0_239] :
      ( aElement0(W1_238)
      | ~ aElementOf0(W1_238,W0_239)
      | ~ aSet0(W0_239) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_685,plain,
    ( aElement0('#skF_24')
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_262,c_657]) ).

tff(c_690,plain,
    ~ aSet0(xI),
    inference(splitLeft,[status(thm)],[c_685]) ).

tff(c_693,plain,
    ~ aIdeal0(xI),
    inference(resolution,[status(thm)],[c_108,c_690]) ).

tff(c_697,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_693]) ).

tff(c_699,plain,
    aSet0(xI),
    inference(splitRight,[status(thm)],[c_685]) ).

tff(c_684,plain,
    ( aElement0(xu)
    | ~ aSet0(xI) ),
    inference(resolution,[status(thm)],[c_236,c_657]) ).

tff(c_1051,plain,
    aElement0(xu),
    inference(demodulation,[status(thm),theory(equality)],[c_699,c_684]) ).

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

tff(c_1768,plain,
    ! [W1_271,W0_272] :
      ( aDivisorOf0(W1_271,W0_272)
      | ~ doDivides0(W1_271,W0_272)
      | ~ aElement0(W1_271)
      | ~ aElement0(W0_272) ),
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_1774,plain,
    ( aDivisorOf0(xu,xa)
    | ~ aElement0(xu)
    | ~ aElement0(xa) ),
    inference(resolution,[status(thm)],[c_246,c_1768]) ).

tff(c_1778,plain,
    aDivisorOf0(xu,xa),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_1051,c_1774]) ).

tff(c_1780,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_276,c_1778]) ).

tff(c_1782,plain,
    aDivisorOf0(xu,xa),
    inference(splitRight,[status(thm)],[c_238]) ).

tff(c_2151,plain,
    ! [W1_282,W0_283] :
      ( aElement0(W1_282)
      | ~ aDivisorOf0(W1_282,W0_283)
      | ~ aElement0(W0_283) ),
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_2154,plain,
    ( aElement0(xu)
    | ~ aElement0(xa) ),
    inference(resolution,[status(thm)],[c_1782,c_2151]) ).

tff(c_2157,plain,
    aElement0(xu),
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_2154]) ).

tff(c_3401,plain,
    ! [W1_323,W0_324] :
      ( ( sdtasdt0(W1_323,W0_324) = sdtasdt0(W0_324,W1_323) )
      | ~ aElement0(W1_323)
      | ~ aElement0(W0_324) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_9343,plain,
    ! [W0_432] :
      ( ( sdtasdt0(xq,W0_432) = sdtasdt0(W0_432,xq) )
      | ~ aElement0(W0_432) ),
    inference(resolution,[status(thm)],[c_256,c_3401]) ).

tff(c_9454,plain,
    sdtasdt0(xu,xq) = sdtasdt0(xq,xu),
    inference(resolution,[status(thm)],[c_2157,c_9343]) ).

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_9668,plain,
    ( aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu) ),
    inference(superposition,[status(thm),theory(equality)],[c_9454,c_12]) ).

tff(c_9693,plain,
    aElement0(sdtasdt0(xq,xu)),
    inference(demodulation,[status(thm),theory(equality)],[c_2157,c_256,c_9668]) ).

tff(c_6,plain,
    aElement0(sz10),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_8,plain,
    ! [W0_2] :
      ( aElement0(smndt0(W0_2))
      | ~ aElement0(W0_2) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_38,plain,
    ! [W0_23] :
      ( ( sdtasdt0(W0_23,smndt0(sz10)) = smndt0(W0_23) )
      | ~ aElement0(W0_23) ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_3043,plain,
    ! [W0_315,W3_316] :
      ( aElementOf0(sdtasdt0(W0_315,W3_316),slsdtgt0(W0_315))
      | ~ aElement0(W3_316)
      | ~ aElement0(W0_315) ),
    inference(cnfTransformation,[status(thm)],[f_345]) ).

tff(c_3094,plain,
    ! [W0_23] :
      ( aElementOf0(smndt0(W0_23),slsdtgt0(W0_23))
      | ~ aElement0(smndt0(sz10))
      | ~ aElement0(W0_23)
      | ~ aElement0(W0_23) ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_3043]) ).

tff(c_36116,plain,
    ~ aElement0(smndt0(sz10)),
    inference(splitLeft,[status(thm)],[c_3094]) ).

tff(c_36119,plain,
    ~ aElement0(sz10),
    inference(resolution,[status(thm)],[c_8,c_36116]) ).

tff(c_36123,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_36119]) ).

tff(c_36125,plain,
    aElement0(smndt0(sz10)),
    inference(splitRight,[status(thm)],[c_3094]) ).

tff(c_40,plain,
    ! [W0_23] :
      ( ( sdtasdt0(smndt0(sz10),W0_23) = smndt0(W0_23) )
      | ~ aElement0(W0_23) ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_3728,plain,
    ! [W2_341,W1_342,W0_343] :
      ( aElementOf0(sdtasdt0(W2_341,W1_342),W0_343)
      | ~ aElement0(W2_341)
      | ~ aElementOf0(W1_342,W0_343)
      | ~ aIdeal0(W0_343) ),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_3765,plain,
    ! [W0_23,W0_343] :
      ( aElementOf0(smndt0(W0_23),W0_343)
      | ~ aElement0(smndt0(sz10))
      | ~ aElementOf0(W0_23,W0_343)
      | ~ aIdeal0(W0_343)
      | ~ aElement0(W0_23) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_3728]) ).

tff(c_45085,plain,
    ! [W0_592,W0_593] :
      ( aElementOf0(smndt0(W0_592),W0_593)
      | ~ aElementOf0(W0_592,W0_593)
      | ~ aIdeal0(W0_593)
      | ~ aElement0(W0_592) ),
    inference(demodulation,[status(thm),theory(equality)],[c_36125,c_3765]) ).

tff(c_260,plain,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnfTransformation,[status(thm)],[f_414]) ).

tff(c_45105,plain,
    ( ~ aElementOf0(sdtasdt0(xq,xu),xI)
    | ~ aIdeal0(xI)
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(resolution,[status(thm)],[c_45085,c_260]) ).

tff(c_45116,plain,
    ~ aElementOf0(sdtasdt0(xq,xu),xI),
    inference(demodulation,[status(thm),theory(equality)],[c_9693,c_218,c_45105]) ).

tff(c_45121,plain,
    ( ~ aElement0(xq)
    | ~ aElementOf0(xu,xI)
    | ~ aIdeal0(xI) ),
    inference(resolution,[status(thm)],[c_110,c_45116]) ).

tff(c_45125,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_236,c_256,c_45121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG120+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
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 17:55:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 28.29/14.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.29/14.15  
% 28.29/14.15  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 28.37/14.18  
% 28.37/14.18  Inference rules
% 28.37/14.18  ----------------------
% 28.37/14.18  #Ref     : 0
% 28.37/14.18  #Sup     : 10169
% 28.37/14.18  #Fact    : 0
% 28.37/14.18  #Define  : 0
% 28.37/14.18  #Split   : 20
% 28.37/14.18  #Chain   : 0
% 28.37/14.18  #Close   : 0
% 28.37/14.18  
% 28.37/14.18  Ordering : KBO
% 28.37/14.18  
% 28.37/14.18  Simplification rules
% 28.37/14.18  ----------------------
% 28.37/14.18  #Subsume      : 241
% 28.37/14.18  #Demod        : 14939
% 28.37/14.18  #Tautology    : 3766
% 28.37/14.18  #SimpNegUnit  : 103
% 28.37/14.18  #BackRed      : 1
% 28.37/14.18  
% 28.37/14.18  #Partial instantiations: 0
% 28.37/14.18  #Strategies tried      : 1
% 28.37/14.18  
% 28.37/14.18  Timing (in seconds)
% 28.37/14.18  ----------------------
% 28.37/14.18  Preprocessing        : 0.72
% 28.37/14.18  Parsing              : 0.34
% 28.37/14.18  CNF conversion       : 0.07
% 28.37/14.18  Main loop            : 12.42
% 28.37/14.18  Inferencing          : 1.99
% 28.37/14.18  Reduction            : 7.42
% 28.37/14.18  Demodulation         : 6.57
% 28.37/14.18  BG Simplification    : 0.13
% 28.37/14.18  Subsumption          : 2.30
% 28.37/14.18  Abstraction          : 0.15
% 28.37/14.18  MUC search           : 0.00
% 28.37/14.18  Cooper               : 0.00
% 28.37/14.18  Total                : 13.19
% 28.37/14.19  Index Insertion      : 0.00
% 28.37/14.19  Index Deletion       : 0.00
% 28.37/14.19  Index Matching       : 0.00
% 28.37/14.19  BG Taut test         : 0.00
%------------------------------------------------------------------------------