TSTP Solution File: RNG106+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG106+2 : 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 : n012.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 10:54:59 EDT 2023

% Result   : Theorem 22.29s 8.09s
% Output   : CNFRefutation 22.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  114 (  32 unt;  52 typ;   0 def)
%            Number of atoms       :  139 (  20 equ)
%            Maximal formula atoms :   29 (   2 avg)
%            Number of connectives :  129 (  52   ~;  44   |;  21   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  101 (  46   >;  55   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   41 (  41 usr;   6 con; 0-4 aty)
%            Number of variables   :   52 (;  45   !;   7   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aGcdOfAnd0 > misRelativelyPrime0 > iLess0 > doDivides0 > aElementOf0 > aDivisorOf0 > aSet0 > aNaturalNumber0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > slsdtgt0 > sbrdtbr0 > xc > sz10 > sz00 > #skF_26 > #skF_24 > #skF_22 > #skF_6 > #skF_27 > #skF_31 > #skF_17 > #skF_20 > #skF_4 > #skF_8 > #skF_14 > #skF_15 > #skF_18 > #skF_23 > #skF_28 > #skF_5 > #skF_19 > #skF_7 > #skF_9 > #skF_30 > #skF_13 > #skF_11 > #skF_3 > #skF_29 > #skF_2 > #skF_12 > #skF_25 > #skF_1 > #skF_16 > #skF_21 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

tff('#skF_31',type,
    '#skF_31': $i ).

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i ) > $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('#skF_4',type,
    '#skF_4': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_30',type,
    '#skF_30': $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_29',type,
    '#skF_29': $i ).

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

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

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

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

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $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,
    ~ ( ! [W0,W1,W2] :
          ( ( ( ? [W3] :
                  ( aElement0(W3)
                  & ( sdtasdt0(xc,W3) = W0 ) )
              | aElementOf0(W0,slsdtgt0(xc)) )
            & ( ? [W3] :
                  ( aElement0(W3)
                  & ( sdtasdt0(xc,W3) = W1 ) )
              | aElementOf0(W1,slsdtgt0(xc)) )
            & aElement0(W2) )
         => ? [W3] :
              ( aElement0(W3)
              & ( sdtasdt0(xc,W3) = W0 )
              & ? [W4] :
                  ( aElement0(W4)
                  & ( sdtasdt0(xc,W4) = W1 )
                  & ( sdtpldt0(W0,W1) = sdtasdt0(xc,sdtpldt0(W3,W4)) )
                  & ( sdtasdt0(W2,W0) = sdtasdt0(xc,sdtasdt0(W3,W2)) )
                  & ? [W5] :
                      ( aElement0(W5)
                      & ( sdtasdt0(xc,W5) = sdtpldt0(W0,W1) ) )
                  & aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc))
                  & ? [W5] :
                      ( aElement0(W5)
                      & ( sdtasdt0(xc,W5) = sdtasdt0(W2,W0) ) )
                  & aElementOf0(sdtasdt0(W2,W0),slsdtgt0(xc)) ) ) )
     => ( ( aSet0(slsdtgt0(xc))
          & ! [W0] :
              ( aElementOf0(W0,slsdtgt0(xc))
            <=> ? [W1] :
                  ( aElement0(W1)
                  & ( sdtasdt0(xc,W1) = W0 ) ) ) )
       => ( ! [W0] :
              ( aElementOf0(W0,slsdtgt0(xc))
             => ( ! [W1] :
                    ( aElementOf0(W1,slsdtgt0(xc))
                   => aElementOf0(sdtpldt0(W0,W1),slsdtgt0(xc)) )
                & ! [W1] :
                    ( aElement0(W1)
                   => aElementOf0(sdtasdt0(W1,W0),slsdtgt0(xc)) ) ) )
          | aIdeal0(slsdtgt0(xc)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

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

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

tff(f_31,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

tff(f_53,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

tff(f_41,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => aElement0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

tff(f_346,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).

tff(c_214,plain,
    aSet0(slsdtgt0(xc)),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_210,plain,
    aElementOf0('#skF_29',slsdtgt0(xc)),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_703,plain,
    ! [W1_264,W0_265] :
      ( aElement0(W1_264)
      | ~ aElementOf0(W1_264,W0_265)
      | ~ aSet0(W0_265) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_715,plain,
    ( aElement0('#skF_29')
    | ~ aSet0(slsdtgt0(xc)) ),
    inference(resolution,[status(thm)],[c_210,c_703]) ).

tff(c_727,plain,
    aElement0('#skF_29'),
    inference(demodulation,[status(thm),theory(equality)],[c_214,c_715]) ).

tff(c_222,plain,
    ( aElementOf0('#skF_30',slsdtgt0(xc))
    | aElement0('#skF_31') ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_325,plain,
    aElement0('#skF_31'),
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_2212,plain,
    ! [W1_310,W0_311] :
      ( ( sdtasdt0(W1_310,W0_311) = sdtasdt0(W0_311,W1_310) )
      | ~ aElement0(W1_310)
      | ~ aElement0(W0_311) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_7995,plain,
    ! [W0_416] :
      ( ( sdtasdt0(W0_416,'#skF_31') = sdtasdt0('#skF_31',W0_416) )
      | ~ aElement0(W0_416) ),
    inference(resolution,[status(thm)],[c_325,c_2212]) ).

tff(c_8152,plain,
    sdtasdt0('#skF_31','#skF_29') = sdtasdt0('#skF_29','#skF_31'),
    inference(resolution,[status(thm)],[c_727,c_7995]) ).

tff(c_218,plain,
    ( aElementOf0('#skF_30',slsdtgt0(xc))
    | ~ aElementOf0(sdtasdt0('#skF_31','#skF_29'),slsdtgt0(xc)) ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_760,plain,
    ~ aElementOf0(sdtasdt0('#skF_31','#skF_29'),slsdtgt0(xc)),
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_8164,plain,
    ~ aElementOf0(sdtasdt0('#skF_29','#skF_31'),slsdtgt0(xc)),
    inference(demodulation,[status(thm),theory(equality)],[c_8152,c_760]) ).

tff(c_232,plain,
    ! [W0_221,W3_238,W2_223] :
      ( ~ aElementOf0(W0_221,slsdtgt0(xc))
      | ~ aElement0(W3_238)
      | aElementOf0(sdtasdt0(W2_223,W0_221),slsdtgt0(xc))
      | ~ aElement0(W2_223) ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_980,plain,
    ! [W3_238] : ~ aElement0(W3_238),
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_995,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_980,c_727]) ).

tff(c_8242,plain,
    ! [W0_417,W2_418] :
      ( ~ aElementOf0(W0_417,slsdtgt0(xc))
      | aElementOf0(sdtasdt0(W2_418,W0_417),slsdtgt0(xc))
      | ~ aElement0(W2_418) ),
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_8262,plain,
    ( ~ aElementOf0('#skF_29',slsdtgt0(xc))
    | aElementOf0(sdtasdt0('#skF_29','#skF_31'),slsdtgt0(xc))
    | ~ aElement0('#skF_31') ),
    inference(superposition,[status(thm),theory(equality)],[c_8152,c_8242]) ).

tff(c_8477,plain,
    aElementOf0(sdtasdt0('#skF_29','#skF_31'),slsdtgt0(xc)),
    inference(demodulation,[status(thm),theory(equality)],[c_325,c_210,c_8262]) ).

tff(c_8674,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8164,c_8477]) ).

tff(c_8675,plain,
    aElementOf0('#skF_30',slsdtgt0(xc)),
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_252,plain,
    ! [W0_221,W1_222,W2_223] :
      ( ~ aElementOf0(W0_221,slsdtgt0(xc))
      | ~ aElementOf0(W1_222,slsdtgt0(xc))
      | aElementOf0(sdtpldt0(W0_221,W1_222),slsdtgt0(xc))
      | ~ aElement0(W2_223) ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_13273,plain,
    ! [W2_223] : ~ aElement0(W2_223),
    inference(splitLeft,[status(thm)],[c_252]) ).

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

tff(c_52,plain,
    ! [W1_30,W0_28] :
      ( aElement0(W1_30)
      | ~ aElementOf0(W1_30,W0_28)
      | ~ aSet0(W0_28) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_8679,plain,
    ( aElement0('#skF_30')
    | ~ aSet0(slsdtgt0(xc)) ),
    inference(resolution,[status(thm)],[c_8675,c_52]) ).

tff(c_8688,plain,
    aElement0('#skF_30'),
    inference(demodulation,[status(thm),theory(equality)],[c_214,c_8679]) ).

tff(c_11041,plain,
    ! [W1_480,W0_481] :
      ( ( sdtpldt0(W1_480,W0_481) = sdtpldt0(W0_481,W1_480) )
      | ~ aElement0(W1_480)
      | ~ aElement0(W0_481) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_11260,plain,
    ! [W0_483] :
      ( ( sdtpldt0(sz10,W0_483) = sdtpldt0(W0_483,sz10) )
      | ~ aElement0(W0_483) ),
    inference(resolution,[status(thm)],[c_6,c_11041]) ).

tff(c_11367,plain,
    sdtpldt0(sz10,'#skF_30') = sdtpldt0('#skF_30',sz10),
    inference(resolution,[status(thm)],[c_8688,c_11260]) ).

tff(c_10,plain,
    ! [W0_3,W1_4] :
      ( aElement0(sdtpldt0(W0_3,W1_4))
      | ~ aElement0(W1_4)
      | ~ aElement0(W0_3) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_12693,plain,
    ( aElement0(sdtpldt0('#skF_30',sz10))
    | ~ aElement0('#skF_30')
    | ~ aElement0(sz10) ),
    inference(superposition,[status(thm),theory(equality)],[c_11367,c_10]) ).

tff(c_12697,plain,
    aElement0(sdtpldt0('#skF_30',sz10)),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_8688,c_12693]) ).

tff(c_13323,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13273,c_12697]) ).

tff(c_24182,plain,
    ! [W0_672,W1_673] :
      ( ~ aElementOf0(W0_672,slsdtgt0(xc))
      | ~ aElementOf0(W1_673,slsdtgt0(xc))
      | aElementOf0(sdtpldt0(W0_672,W1_673),slsdtgt0(xc)) ),
    inference(splitRight,[status(thm)],[c_252]) ).

tff(c_8676,plain,
    aElementOf0(sdtasdt0('#skF_31','#skF_29'),slsdtgt0(xc)),
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_216,plain,
    ( ~ aElementOf0(sdtpldt0('#skF_29','#skF_30'),slsdtgt0(xc))
    | ~ aElementOf0(sdtasdt0('#skF_31','#skF_29'),slsdtgt0(xc)) ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_8786,plain,
    ~ aElementOf0(sdtpldt0('#skF_29','#skF_30'),slsdtgt0(xc)),
    inference(demodulation,[status(thm),theory(equality)],[c_8676,c_216]) ).

tff(c_24205,plain,
    ( ~ aElementOf0('#skF_29',slsdtgt0(xc))
    | ~ aElementOf0('#skF_30',slsdtgt0(xc)) ),
    inference(resolution,[status(thm)],[c_24182,c_8786]) ).

tff(c_24338,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8675,c_210,c_24205]) ).

tff(c_24339,plain,
    aElementOf0('#skF_30',slsdtgt0(xc)),
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_29598,plain,
    ! [W2_223] : ~ aElement0(W2_223),
    inference(splitLeft,[status(thm)],[c_252]) ).

tff(c_206,plain,
    aElement0(xc),
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_27054,plain,
    ! [W1_749,W0_750] :
      ( ( sdtpldt0(W1_749,W0_750) = sdtpldt0(W0_750,W1_749) )
      | ~ aElement0(W1_749)
      | ~ aElement0(W0_750) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_27258,plain,
    ! [W0_752] :
      ( ( sdtpldt0(sz10,W0_752) = sdtpldt0(W0_752,sz10) )
      | ~ aElement0(W0_752) ),
    inference(resolution,[status(thm)],[c_6,c_27054]) ).

tff(c_27368,plain,
    sdtpldt0(xc,sz10) = sdtpldt0(sz10,xc),
    inference(resolution,[status(thm)],[c_206,c_27258]) ).

tff(c_27588,plain,
    ( aElement0(sdtpldt0(sz10,xc))
    | ~ aElement0(sz10)
    | ~ aElement0(xc) ),
    inference(superposition,[status(thm),theory(equality)],[c_27368,c_10]) ).

tff(c_27592,plain,
    aElement0(sdtpldt0(sz10,xc)),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_6,c_27588]) ).

tff(c_29645,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_29598,c_27592]) ).

tff(c_37510,plain,
    ! [W0_902,W1_903] :
      ( ~ aElementOf0(W0_902,slsdtgt0(xc))
      | ~ aElementOf0(W1_903,slsdtgt0(xc))
      | aElementOf0(sdtpldt0(W0_902,W1_903),slsdtgt0(xc)) ),
    inference(splitRight,[status(thm)],[c_252]) ).

tff(c_24340,plain,
    ~ aElement0('#skF_31'),
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_220,plain,
    ( ~ aElementOf0(sdtpldt0('#skF_29','#skF_30'),slsdtgt0(xc))
    | aElement0('#skF_31') ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_24523,plain,
    ~ aElementOf0(sdtpldt0('#skF_29','#skF_30'),slsdtgt0(xc)),
    inference(negUnitSimplification,[status(thm)],[c_24340,c_220]) ).

tff(c_37531,plain,
    ( ~ aElementOf0('#skF_29',slsdtgt0(xc))
    | ~ aElementOf0('#skF_30',slsdtgt0(xc)) ),
    inference(resolution,[status(thm)],[c_37510,c_24523]) ).

tff(c_37650,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24339,c_210,c_37531]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % 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
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 17:50:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 22.29/8.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.29/8.09  
% 22.29/8.10  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.29/8.13  
% 22.29/8.13  Inference rules
% 22.29/8.13  ----------------------
% 22.29/8.13  #Ref     : 0
% 22.29/8.13  #Sup     : 8150
% 22.29/8.13  #Fact    : 0
% 22.29/8.13  #Define  : 0
% 22.29/8.13  #Split   : 48
% 22.29/8.13  #Chain   : 0
% 22.29/8.13  #Close   : 0
% 22.29/8.13  
% 22.41/8.13  Ordering : KBO
% 22.41/8.13  
% 22.41/8.13  Simplification rules
% 22.41/8.13  ----------------------
% 22.41/8.13  #Subsume      : 1290
% 22.41/8.13  #Demod        : 9241
% 22.41/8.13  #Tautology    : 3450
% 22.41/8.13  #SimpNegUnit  : 947
% 22.41/8.13  #BackRed      : 1199
% 22.41/8.13  
% 22.41/8.13  #Partial instantiations: 0
% 22.41/8.13  #Strategies tried      : 1
% 22.41/8.13  
% 22.41/8.13  Timing (in seconds)
% 22.41/8.13  ----------------------
% 22.41/8.13  Preprocessing        : 0.77
% 22.41/8.13  Parsing              : 0.36
% 22.41/8.13  CNF conversion       : 0.08
% 22.41/8.13  Main loop            : 6.22
% 22.41/8.13  Inferencing          : 1.49
% 22.41/8.13  Reduction            : 2.85
% 22.41/8.13  Demodulation         : 2.37
% 22.41/8.13  BG Simplification    : 0.15
% 22.41/8.13  Subsumption          : 1.31
% 22.41/8.13  Abstraction          : 0.18
% 22.41/8.13  MUC search           : 0.00
% 22.41/8.13  Cooper               : 0.00
% 22.41/8.13  Total                : 7.05
% 22.41/8.13  Index Insertion      : 0.00
% 22.41/8.13  Index Deletion       : 0.00
% 22.41/8.13  Index Matching       : 0.00
% 22.41/8.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------