TSTP Solution File: RNG092+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG092+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/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 : n007.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 10:54:56 EDT 2023

% Result   : Theorem 16.42s 5.08s
% Output   : CNFRefutation 16.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  103 (  31 unt;  39 typ;   0 def)
%            Number of atoms       :  167 (  19 equ)
%            Maximal formula atoms :   39 (   2 avg)
%            Number of connectives :  158 (  55   ~;  47   |;  38   &)
%                                         (   1 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   73 (  32   >;  41   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;   7 con; 0-4 aty)
%            Number of variables   :   68 (;  54   !;  14   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xJ > xI > sz10 > sz00 > #skF_17 > #skF_6 > #skF_25 > #skF_18 > #skF_22 > #skF_4 > #skF_8 > #skF_26 > #skF_5 > #skF_19 > #skF_7 > #skF_23 > #skF_9 > #skF_20 > #skF_15 > #skF_13 > #skF_14 > #skF_11 > #skF_3 > #skF_2 > #skF_24 > #skF_12 > #skF_21 > #skF_1 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_17',type,
    '#skF_17': ( $i * $i * $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(sdtpldt1,type,
    sdtpldt1: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff(sdtpldt0,type,
    sdtpldt0: ( $i * $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(aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

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

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

tff('#skF_20',type,
    '#skF_20': ( $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('#skF_11',type,
    '#skF_11': $i > $i ).

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

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

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

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

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

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

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

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

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

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

tff(f_328,negated_conjecture,
    ~ ( ! [W0,W1,W2] :
          ( ( ( ? [W3,W4] :
                  ( aElementOf0(W3,xI)
                  & aElementOf0(W4,xJ)
                  & ( sdtpldt0(W3,W4) = W0 ) )
              | aElementOf0(W0,sdtpldt1(xI,xJ)) )
            & ( ? [W3,W4] :
                  ( aElementOf0(W3,xI)
                  & aElementOf0(W4,xJ)
                  & ( sdtpldt0(W3,W4) = W1 ) )
              | aElementOf0(W1,sdtpldt1(xI,xJ)) )
            & aElement0(W2) )
         => ? [W3,W4] :
              ( aElementOf0(W3,xI)
              & aElementOf0(W4,xJ)
              & ( W0 = sdtpldt0(W3,W4) )
              & ? [W5,W6] :
                  ( aElementOf0(W5,xI)
                  & aElementOf0(W6,xJ)
                  & ( W1 = sdtpldt0(W5,W6) )
                  & aElementOf0(sdtpldt0(W3,W5),xI)
                  & aElementOf0(sdtpldt0(W4,W6),xJ)
                  & aElementOf0(sdtasdt0(W2,W3),xI)
                  & aElementOf0(sdtasdt0(W2,W4),xJ)
                  & ( sdtpldt0(W0,W1) = sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6)) )
                  & ? [W7,W8] :
                      ( aElementOf0(W7,xI)
                      & aElementOf0(W8,xJ)
                      & ( sdtpldt0(W7,W8) = sdtpldt0(W0,W1) ) )
                  & aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))
                  & ? [W7,W8] :
                      ( aElementOf0(W7,xI)
                      & aElementOf0(W8,xJ)
                      & ( sdtpldt0(W7,W8) = sdtasdt0(W2,W0) ) )
                  & aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)) ) ) )
     => ( ( aSet0(sdtpldt1(xI,xJ))
          & ! [W0] :
              ( aElementOf0(W0,sdtpldt1(xI,xJ))
            <=> ? [W1,W2] :
                  ( aElementOf0(W1,xI)
                  & aElementOf0(W2,xJ)
                  & ( sdtpldt0(W1,W2) = W0 ) ) ) )
       => ( ! [W0] :
              ( aElementOf0(W0,sdtpldt1(xI,xJ))
             => ( ! [W1] :
                    ( aElementOf0(W1,sdtpldt1(xI,xJ))
                   => aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ)) )
                & ! [W1] :
                    ( aElement0(W1)
                   => aElementOf0(sdtasdt0(W1,W0),sdtpldt1(xI,xJ)) ) ) )
          | aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

tff(f_53,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

tff(f_41,axiom,
    ! [W0,W1] :
      ( ( aElement0(W0)
        & aElement0(W1) )
     => aElement0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

tff(f_238,hypothesis,
    ( aSet0(xI)
    & ! [W0] :
        ( aElementOf0(W0,xI)
       => ( ! [W1] :
              ( aElementOf0(W1,xI)
             => aElementOf0(sdtpldt0(W0,W1),xI) )
          & ! [W1] :
              ( aElement0(W1)
             => aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
    & aIdeal0(xI)
    & aSet0(xJ)
    & ! [W0] :
        ( aElementOf0(W0,xJ)
       => ( ! [W1] :
              ( aElementOf0(W1,xJ)
             => aElementOf0(sdtpldt0(W0,W1),xJ) )
          & ! [W1] :
              ( aElement0(W1)
             => aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
    & aIdeal0(xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

tff(c_146,plain,
    aSet0(sdtpldt1(xI,xJ)),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_142,plain,
    aElementOf0('#skF_24',sdtpldt1(xI,xJ)),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_494,plain,
    ! [W1_211,W0_212] :
      ( aElement0(W1_211)
      | ~ aElementOf0(W1_211,W0_212)
      | ~ aSet0(W0_212) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_497,plain,
    ( aElement0('#skF_24')
    | ~ aSet0(sdtpldt1(xI,xJ)) ),
    inference(resolution,[status(thm)],[c_142,c_494]) ).

tff(c_500,plain,
    aElement0('#skF_24'),
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_497]) ).

tff(c_154,plain,
    ( aElementOf0('#skF_25',sdtpldt1(xI,xJ))
    | aElement0('#skF_26') ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_372,plain,
    aElement0('#skF_26'),
    inference(splitLeft,[status(thm)],[c_154]) ).

tff(c_1081,plain,
    ! [W1_234,W0_235] :
      ( ( sdtasdt0(W1_234,W0_235) = sdtasdt0(W0_235,W1_234) )
      | ~ aElement0(W1_234)
      | ~ aElement0(W0_235) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_2579,plain,
    ! [W0_276] :
      ( ( sdtasdt0(W0_276,'#skF_26') = sdtasdt0('#skF_26',W0_276) )
      | ~ aElement0(W0_276) ),
    inference(resolution,[status(thm)],[c_372,c_1081]) ).

tff(c_2635,plain,
    sdtasdt0('#skF_26','#skF_24') = sdtasdt0('#skF_24','#skF_26'),
    inference(resolution,[status(thm)],[c_500,c_2579]) ).

tff(c_150,plain,
    ( aElementOf0('#skF_25',sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0('#skF_26','#skF_24'),sdtpldt1(xI,xJ)) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_1022,plain,
    ~ aElementOf0(sdtasdt0('#skF_26','#skF_24'),sdtpldt1(xI,xJ)),
    inference(splitLeft,[status(thm)],[c_150]) ).

tff(c_2643,plain,
    ~ aElementOf0(sdtasdt0('#skF_24','#skF_26'),sdtpldt1(xI,xJ)),
    inference(demodulation,[status(thm),theory(equality)],[c_2635,c_1022]) ).

tff(c_162,plain,
    ! [W0_145,W1_146,W2_147] :
      ( ~ aElementOf0(W0_145,sdtpldt1(xI,xJ))
      | ~ aElementOf0(W1_146,sdtpldt1(xI,xJ))
      | aElementOf0(sdtasdt0(W2_147,W0_145),sdtpldt1(xI,xJ))
      | ~ aElement0(W2_147) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_4251,plain,
    ! [W1_146] : ~ aElementOf0(W1_146,sdtpldt1(xI,xJ)),
    inference(splitLeft,[status(thm)],[c_162]) ).

tff(c_4254,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4251,c_142]) ).

tff(c_4401,plain,
    ! [W0_304,W2_305] :
      ( ~ aElementOf0(W0_304,sdtpldt1(xI,xJ))
      | aElementOf0(sdtasdt0(W2_305,W0_304),sdtpldt1(xI,xJ))
      | ~ aElement0(W2_305) ),
    inference(splitRight,[status(thm)],[c_162]) ).

tff(c_4467,plain,
    ( ~ aElementOf0('#skF_24',sdtpldt1(xI,xJ))
    | aElementOf0(sdtasdt0('#skF_24','#skF_26'),sdtpldt1(xI,xJ))
    | ~ aElement0('#skF_26') ),
    inference(superposition,[status(thm),theory(equality)],[c_2635,c_4401]) ).

tff(c_4607,plain,
    aElementOf0(sdtasdt0('#skF_24','#skF_26'),sdtpldt1(xI,xJ)),
    inference(demodulation,[status(thm),theory(equality)],[c_372,c_142,c_4467]) ).

tff(c_4609,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2643,c_4607]) ).

tff(c_4610,plain,
    aElementOf0('#skF_25',sdtpldt1(xI,xJ)),
    inference(splitRight,[status(thm)],[c_150]) ).

tff(c_194,plain,
    ! [W0_145,W1_146,W2_147] :
      ( ~ aElementOf0(W0_145,sdtpldt1(xI,xJ))
      | ~ aElementOf0(W1_146,sdtpldt1(xI,xJ))
      | aElementOf0(sdtpldt0(W0_145,W1_146),sdtpldt1(xI,xJ))
      | ~ aElement0(W2_147) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_7086,plain,
    ! [W2_147] : ~ aElement0(W2_147),
    inference(splitLeft,[status(thm)],[c_194]) ).

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

tff(c_964,plain,
    ! [W1_231,W0_232] :
      ( ( sdtpldt0(W1_231,W0_232) = sdtpldt0(W0_232,W1_231) )
      | ~ aElement0(W1_231)
      | ~ aElement0(W0_232) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_6594,plain,
    ! [W0_358] :
      ( ( sdtpldt0(sz10,W0_358) = sdtpldt0(W0_358,sz10) )
      | ~ aElement0(W0_358) ),
    inference(resolution,[status(thm)],[c_6,c_964]) ).

tff(c_6663,plain,
    sdtpldt0(sz10,'#skF_26') = sdtpldt0('#skF_26',sz10),
    inference(resolution,[status(thm)],[c_372,c_6594]) ).

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_7038,plain,
    ( aElement0(sdtpldt0('#skF_26',sz10))
    | ~ aElement0('#skF_26')
    | ~ aElement0(sz10) ),
    inference(superposition,[status(thm),theory(equality)],[c_6663,c_10]) ).

tff(c_7042,plain,
    aElement0(sdtpldt0('#skF_26',sz10)),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_372,c_7038]) ).

tff(c_7112,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7086,c_7042]) ).

tff(c_14416,plain,
    ! [W0_448,W1_449] :
      ( ~ aElementOf0(W0_448,sdtpldt1(xI,xJ))
      | ~ aElementOf0(W1_449,sdtpldt1(xI,xJ))
      | aElementOf0(sdtpldt0(W0_448,W1_449),sdtpldt1(xI,xJ)) ),
    inference(splitRight,[status(thm)],[c_194]) ).

tff(c_4611,plain,
    aElementOf0(sdtasdt0('#skF_26','#skF_24'),sdtpldt1(xI,xJ)),
    inference(splitRight,[status(thm)],[c_150]) ).

tff(c_148,plain,
    ( ~ aElementOf0(sdtpldt0('#skF_24','#skF_25'),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0('#skF_26','#skF_24'),sdtpldt1(xI,xJ)) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_4852,plain,
    ~ aElementOf0(sdtpldt0('#skF_24','#skF_25'),sdtpldt1(xI,xJ)),
    inference(demodulation,[status(thm),theory(equality)],[c_4611,c_148]) ).

tff(c_14426,plain,
    ( ~ aElementOf0('#skF_24',sdtpldt1(xI,xJ))
    | ~ aElementOf0('#skF_25',sdtpldt1(xI,xJ)) ),
    inference(resolution,[status(thm)],[c_14416,c_4852]) ).

tff(c_14558,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4610,c_142,c_14426]) ).

tff(c_14559,plain,
    aElementOf0('#skF_25',sdtpldt1(xI,xJ)),
    inference(splitRight,[status(thm)],[c_154]) ).

tff(c_18129,plain,
    ! [W2_147] : ~ aElement0(W2_147),
    inference(splitLeft,[status(thm)],[c_194]) ).

tff(c_126,plain,
    aSet0(xJ),
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_14687,plain,
    ! [W0_456] :
      ( aElementOf0('#skF_23'(W0_456),xJ)
      | ~ aElementOf0(W0_456,sdtpldt1(xI,xJ)) ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

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_14690,plain,
    ! [W0_456] :
      ( aElement0('#skF_23'(W0_456))
      | ~ aSet0(xJ)
      | ~ aElementOf0(W0_456,sdtpldt1(xI,xJ)) ),
    inference(resolution,[status(thm)],[c_14687,c_52]) ).

tff(c_15864,plain,
    ! [W0_499] :
      ( aElement0('#skF_23'(W0_499))
      | ~ aElementOf0(W0_499,sdtpldt1(xI,xJ)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_14690]) ).

tff(c_15884,plain,
    aElement0('#skF_23'('#skF_24')),
    inference(resolution,[status(thm)],[c_142,c_15864]) ).

tff(c_15529,plain,
    ! [W1_484,W0_485] :
      ( ( sdtpldt0(W1_484,W0_485) = sdtpldt0(W0_485,W1_484) )
      | ~ aElement0(W1_484)
      | ~ aElement0(W0_485) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_16590,plain,
    ! [W0_519] :
      ( ( sdtpldt0(sz10,W0_519) = sdtpldt0(W0_519,sz10) )
      | ~ aElement0(W0_519) ),
    inference(resolution,[status(thm)],[c_6,c_15529]) ).

tff(c_16634,plain,
    sdtpldt0('#skF_23'('#skF_24'),sz10) = sdtpldt0(sz10,'#skF_23'('#skF_24')),
    inference(resolution,[status(thm)],[c_15884,c_16590]) ).

tff(c_17877,plain,
    ( aElement0(sdtpldt0(sz10,'#skF_23'('#skF_24')))
    | ~ aElement0(sz10)
    | ~ aElement0('#skF_23'('#skF_24')) ),
    inference(superposition,[status(thm),theory(equality)],[c_16634,c_10]) ).

tff(c_17881,plain,
    aElement0(sdtpldt0(sz10,'#skF_23'('#skF_24'))),
    inference(demodulation,[status(thm),theory(equality)],[c_15884,c_6,c_17877]) ).

tff(c_18153,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_18129,c_17881]) ).

tff(c_23727,plain,
    ! [W0_599,W1_600] :
      ( ~ aElementOf0(W0_599,sdtpldt1(xI,xJ))
      | ~ aElementOf0(W1_600,sdtpldt1(xI,xJ))
      | aElementOf0(sdtpldt0(W0_599,W1_600),sdtpldt1(xI,xJ)) ),
    inference(splitRight,[status(thm)],[c_194]) ).

tff(c_14560,plain,
    ~ aElement0('#skF_26'),
    inference(splitRight,[status(thm)],[c_154]) ).

tff(c_152,plain,
    ( ~ aElementOf0(sdtpldt0('#skF_24','#skF_25'),sdtpldt1(xI,xJ))
    | aElement0('#skF_26') ),
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_14735,plain,
    ~ aElementOf0(sdtpldt0('#skF_24','#skF_25'),sdtpldt1(xI,xJ)),
    inference(negUnitSimplification,[status(thm)],[c_14560,c_152]) ).

tff(c_23740,plain,
    ( ~ aElementOf0('#skF_24',sdtpldt1(xI,xJ))
    | ~ aElementOf0('#skF_25',sdtpldt1(xI,xJ)) ),
    inference(resolution,[status(thm)],[c_23727,c_14735]) ).

tff(c_23861,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14559,c_142,c_23740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % 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 : n007.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 17:52:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 16.42/5.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.42/5.09  
% 16.42/5.09  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.42/5.12  
% 16.42/5.12  Inference rules
% 16.42/5.12  ----------------------
% 16.42/5.12  #Ref     : 0
% 16.42/5.12  #Sup     : 5501
% 16.42/5.12  #Fact    : 0
% 16.42/5.12  #Define  : 0
% 16.42/5.12  #Split   : 37
% 16.42/5.12  #Chain   : 0
% 16.42/5.12  #Close   : 0
% 16.42/5.12  
% 16.42/5.12  Ordering : KBO
% 16.42/5.12  
% 16.42/5.12  Simplification rules
% 16.42/5.12  ----------------------
% 16.66/5.12  #Subsume      : 807
% 16.66/5.12  #Demod        : 4496
% 16.66/5.12  #Tautology    : 2114
% 16.66/5.12  #SimpNegUnit  : 238
% 16.66/5.12  #BackRed      : 90
% 16.66/5.12  
% 16.66/5.12  #Partial instantiations: 0
% 16.66/5.12  #Strategies tried      : 1
% 16.66/5.12  
% 16.66/5.12  Timing (in seconds)
% 16.66/5.12  ----------------------
% 16.66/5.13  Preprocessing        : 0.72
% 16.66/5.13  Parsing              : 0.33
% 16.66/5.13  CNF conversion       : 0.07
% 16.66/5.13  Main loop            : 3.31
% 16.66/5.13  Inferencing          : 0.88
% 16.66/5.13  Reduction            : 1.48
% 16.66/5.13  Demodulation         : 1.18
% 16.66/5.13  BG Simplification    : 0.11
% 16.66/5.13  Subsumption          : 0.66
% 16.66/5.13  Abstraction          : 0.09
% 16.66/5.13  MUC search           : 0.00
% 16.66/5.13  Cooper               : 0.00
% 16.66/5.13  Total                : 4.09
% 16.66/5.13  Index Insertion      : 0.00
% 16.66/5.13  Index Deletion       : 0.00
% 16.66/5.13  Index Matching       : 0.00
% 16.66/5.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------