TSTP Solution File: SWC065+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWC065+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n028.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 11:01:00 EDT 2023

% Result   : Theorem 29.42s 14.92s
% Output   : CNFRefutation 29.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   84
% Syntax   : Number of formulae    :  149 (  37 unt;  76 typ;   0 def)
%            Number of atoms       :  172 (  64 equ)
%            Maximal formula atoms :   23 (   2 avg)
%            Number of connectives :  172 (  73   ~;  68   |;  13   &)
%                                         (   3 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  68   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   57 (  57 usr;   8 con; 0-2 aty)
%            Number of variables   :   43 (;  36   !;   7   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_52 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_36',type,
    '#skF_36': $i > $i ).

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

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

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

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

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

tff('#skF_52',type,
    '#skF_52': $i ).

tff('#skF_44',type,
    '#skF_44': $i > $i ).

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

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

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

tff('#skF_49',type,
    '#skF_49': $i ).

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

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

tff('#skF_35',type,
    '#skF_35': $i > $i ).

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

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

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

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

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

tff('#skF_37',type,
    '#skF_37': $i > $i ).

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

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

tff('#skF_40',type,
    '#skF_40': $i > $i ).

tff('#skF_48',type,
    '#skF_48': $i ).

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

tff('#skF_34',type,
    '#skF_34': $i > $i ).

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

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

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff('#skF_51',type,
    '#skF_51': $i ).

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

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

tff('#skF_41',type,
    '#skF_41': $i > $i ).

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

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff('#skF_43',type,
    '#skF_43': $i > $i ).

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

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

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

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

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

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

tff('#skF_39',type,
    '#skF_39': $i > $i ).

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

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

tff('#skF_33',type,
    '#skF_33': $i > $i ).

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

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

tff('#skF_50',type,
    '#skF_50': $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_46',type,
    '#skF_46': $i > $i ).

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

tff('#skF_42',type,
    '#skF_42': $i > $i ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

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

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

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

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

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

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

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff(f_1038,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( ( V != X )
                      | ( U != W )
                      | ! [Y] :
                          ( ssList(Y)
                         => ( ( app(W,Y) != X )
                            | ~ equalelemsP(W)
                            | ? [Z] :
                                ( ssItem(Z)
                                & ? [X1] :
                                    ( ssList(X1)
                                    & ( app(cons(Z,nil),X1) = Y )
                                    & ? [X2] :
                                        ( ssList(X2)
                                        & ( app(X2,cons(Z,nil)) = W ) ) ) ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ~ neq(V,nil)
                          | ? [X3] :
                              ( ssList(X3)
                              & neq(X3,nil)
                              & segmentP(V,X3)
                              & segmentP(U,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_319,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

tff(f_311,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( neq(U,V)
          <=> ( U != V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

tff(f_859,axiom,
    ! [U] :
      ( ssList(U)
     => ( app(U,nil) = U ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

tff(f_413,axiom,
    ! [U] :
      ( ssList(U)
     => ( app(nil,U) = U ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

tff(f_135,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( segmentP(U,V)
          <=> ? [W] :
                ( ssList(W)
                & ? [X] :
                    ( ssList(X)
                    & ( app(app(W,V),X) = U ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

tff(f_779,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssList(V)
            & ( tl(U) = V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).

tff(f_855,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( ( nil = app(U,V) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

tff(c_400,plain,
    ssList('#skF_50'),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_398,plain,
    ssList('#skF_51'),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_384,plain,
    ( ( nil != '#skF_50' )
    | ( nil = '#skF_51' ) ),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_432,plain,
    nil != '#skF_50',
    inference(splitLeft,[status(thm)],[c_384]) ).

tff(c_168,plain,
    ssList(nil),
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_162,plain,
    ! [U_856,V_858] :
      ( neq(U_856,V_858)
      | ( V_858 = U_856 )
      | ~ ssList(V_858)
      | ~ ssList(U_856) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_458,plain,
    ! [U_1408] :
      ( ( app(U_1408,nil) = U_1408 )
      | ~ ssList(U_1408) ),
    inference(cnfTransformation,[status(thm)],[f_859]) ).

tff(c_473,plain,
    app('#skF_50',nil) = '#skF_50',
    inference(resolution,[status(thm)],[c_400,c_458]) ).

tff(c_493,plain,
    ! [U_1411] :
      ( ( app(nil,U_1411) = U_1411 )
      | ~ ssList(U_1411) ),
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_509,plain,
    app(nil,'#skF_50') = '#skF_50',
    inference(resolution,[status(thm)],[c_400,c_493]) ).

tff(c_23904,plain,
    ! [W_1977,V_1978,X_1979] :
      ( segmentP(app(app(W_1977,V_1978),X_1979),V_1978)
      | ~ ssList(X_1979)
      | ~ ssList(W_1977)
      | ~ ssList(V_1978)
      | ~ ssList(app(app(W_1977,V_1978),X_1979)) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_24203,plain,
    ! [X_1979] :
      ( segmentP(app('#skF_50',X_1979),'#skF_50')
      | ~ ssList(X_1979)
      | ~ ssList(nil)
      | ~ ssList('#skF_50')
      | ~ ssList(app(app(nil,'#skF_50'),X_1979)) ),
    inference(superposition,[status(thm),theory(equality)],[c_509,c_23904]) ).

tff(c_45188,plain,
    ! [X_2487] :
      ( segmentP(app('#skF_50',X_2487),'#skF_50')
      | ~ ssList(X_2487)
      | ~ ssList(app('#skF_50',X_2487)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_509,c_400,c_168,c_24203]) ).

tff(c_45205,plain,
    ( segmentP('#skF_50','#skF_50')
    | ~ ssList(nil)
    | ~ ssList(app('#skF_50',nil)) ),
    inference(superposition,[status(thm),theory(equality)],[c_473,c_45188]) ).

tff(c_45218,plain,
    segmentP('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_473,c_168,c_45205]) ).

tff(c_390,plain,
    app('#skF_50','#skF_52') = '#skF_51',
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_392,plain,
    ssList('#skF_52'),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_45208,plain,
    ( segmentP('#skF_51','#skF_50')
    | ~ ssList('#skF_52')
    | ~ ssList(app('#skF_50','#skF_52')) ),
    inference(superposition,[status(thm),theory(equality)],[c_390,c_45188]) ).

tff(c_45220,plain,
    segmentP('#skF_51','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_390,c_392,c_45208]) ).

tff(c_394,plain,
    '#skF_48' = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_396,plain,
    '#skF_49' = '#skF_51',
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_408,plain,
    ! [X3_1387] :
      ( ( nil = '#skF_49' )
      | ~ segmentP('#skF_48',X3_1387)
      | ~ segmentP('#skF_49',X3_1387)
      | ~ neq(X3_1387,nil)
      | ~ ssList(X3_1387) ),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_416,plain,
    ! [X3_1387] :
      ( ( nil = '#skF_51' )
      | ~ segmentP('#skF_48',X3_1387)
      | ~ segmentP('#skF_51',X3_1387)
      | ~ neq(X3_1387,nil)
      | ~ ssList(X3_1387) ),
    inference(demodulation,[status(thm),theory(equality)],[c_396,c_396,c_408]) ).

tff(c_421,plain,
    ! [X3_1387] :
      ( ( nil = '#skF_51' )
      | ~ segmentP('#skF_50',X3_1387)
      | ~ segmentP('#skF_51',X3_1387)
      | ~ neq(X3_1387,nil)
      | ~ ssList(X3_1387) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_416]) ).

tff(c_454,plain,
    ! [X3_1387] :
      ( ~ segmentP('#skF_50',X3_1387)
      | ~ segmentP('#skF_51',X3_1387)
      | ~ neq(X3_1387,nil)
      | ~ ssList(X3_1387) ),
    inference(splitLeft,[status(thm)],[c_421]) ).

tff(c_45238,plain,
    ( ~ segmentP('#skF_50','#skF_50')
    | ~ neq('#skF_50',nil)
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_45220,c_454]) ).

tff(c_45248,plain,
    ~ neq('#skF_50',nil),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_45218,c_45238]) ).

tff(c_45251,plain,
    ( ( nil = '#skF_50' )
    | ~ ssList(nil)
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_162,c_45248]) ).

tff(c_45257,plain,
    nil = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_168,c_45251]) ).

tff(c_45259,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_432,c_45257]) ).

tff(c_45260,plain,
    nil = '#skF_51',
    inference(splitRight,[status(thm)],[c_421]) ).

tff(c_412,plain,
    ( ( nil = '#skF_49' )
    | neq('#skF_49',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_414,plain,
    ( ( nil = '#skF_51' )
    | neq('#skF_51',nil) ),
    inference(demodulation,[status(thm),theory(equality)],[c_396,c_396,c_412]) ).

tff(c_444,plain,
    neq('#skF_51',nil),
    inference(splitLeft,[status(thm)],[c_414]) ).

tff(c_45264,plain,
    neq('#skF_51','#skF_51'),
    inference(demodulation,[status(thm),theory(equality)],[c_45260,c_444]) ).

tff(c_164,plain,
    ! [V_858] :
      ( ~ neq(V_858,V_858)
      | ~ ssList(V_858) ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_45287,plain,
    ~ ssList('#skF_51'),
    inference(resolution,[status(thm)],[c_45264,c_164]) ).

tff(c_45294,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_45287]) ).

tff(c_45295,plain,
    nil = '#skF_51',
    inference(splitRight,[status(thm)],[c_414]) ).

tff(c_45300,plain,
    '#skF_51' != '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_45295,c_432]) ).

tff(c_356,plain,
    ! [U_1080] :
      ( ( app(U_1080,nil) = U_1080 )
      | ~ ssList(U_1080) ),
    inference(cnfTransformation,[status(thm)],[f_859]) ).

tff(c_45334,plain,
    ! [U_2504] :
      ( ( app(U_2504,'#skF_51') = U_2504 )
      | ~ ssList(U_2504) ),
    inference(demodulation,[status(thm),theory(equality)],[c_45295,c_356]) ).

tff(c_45345,plain,
    app('#skF_50','#skF_51') = '#skF_50',
    inference(resolution,[status(thm)],[c_400,c_45334]) ).

tff(c_334,plain,
    ! [U_1047] :
      ( ( tl(U_1047) = '#skF_47'(U_1047) )
      | ( nil = U_1047 )
      | ~ ssList(U_1047) ),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_45689,plain,
    ! [U_2557] :
      ( ( tl(U_2557) = '#skF_47'(U_2557) )
      | ( U_2557 = '#skF_51' )
      | ~ ssList(U_2557) ),
    inference(demodulation,[status(thm),theory(equality)],[c_45295,c_334]) ).

tff(c_45795,plain,
    ( ( tl('#skF_52') = '#skF_47'('#skF_52') )
    | ( '#skF_52' = '#skF_51' ) ),
    inference(resolution,[status(thm)],[c_392,c_45689]) ).

tff(c_45811,plain,
    '#skF_52' = '#skF_51',
    inference(splitLeft,[status(thm)],[c_45795]) ).

tff(c_45815,plain,
    app('#skF_50','#skF_51') = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_45811,c_390]) ).

tff(c_45819,plain,
    '#skF_51' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_45345,c_45815]) ).

tff(c_45821,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45300,c_45819]) ).

tff(c_45823,plain,
    '#skF_52' != '#skF_51',
    inference(splitRight,[status(thm)],[c_45795]) ).

tff(c_354,plain,
    ! [V_1079,U_1077] :
      ( ( nil = V_1079 )
      | ( app(U_1077,V_1079) != nil )
      | ~ ssList(V_1079)
      | ~ ssList(U_1077) ),
    inference(cnfTransformation,[status(thm)],[f_855]) ).

tff(c_46655,plain,
    ! [V_2596,U_2597] :
      ( ( V_2596 = '#skF_51' )
      | ( app(U_2597,V_2596) != '#skF_51' )
      | ~ ssList(V_2596)
      | ~ ssList(U_2597) ),
    inference(demodulation,[status(thm),theory(equality)],[c_45295,c_45295,c_354]) ).

tff(c_46675,plain,
    ( ( '#skF_52' = '#skF_51' )
    | ~ ssList('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(superposition,[status(thm),theory(equality)],[c_390,c_46655]) ).

tff(c_46702,plain,
    '#skF_52' = '#skF_51',
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_46675]) ).

tff(c_46704,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_45823,c_46702]) ).

tff(c_46706,plain,
    nil = '#skF_50',
    inference(splitRight,[status(thm)],[c_384]) ).

tff(c_46705,plain,
    nil = '#skF_51',
    inference(splitRight,[status(thm)],[c_384]) ).

tff(c_46721,plain,
    '#skF_51' = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_46706,c_46705]) ).

tff(c_410,plain,
    ( ( nil != '#skF_48' )
    | neq('#skF_49',nil) ),
    inference(cnfTransformation,[status(thm)],[f_1038]) ).

tff(c_415,plain,
    ( ( nil != '#skF_48' )
    | neq('#skF_51',nil) ),
    inference(demodulation,[status(thm),theory(equality)],[c_396,c_410]) ).

tff(c_420,plain,
    ( ( nil != '#skF_50' )
    | neq('#skF_51',nil) ),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_415]) ).

tff(c_46767,plain,
    neq('#skF_50','#skF_50'),
    inference(demodulation,[status(thm),theory(equality)],[c_46721,c_46706,c_46706,c_420]) ).

tff(c_46773,plain,
    ~ ssList('#skF_50'),
    inference(resolution,[status(thm)],[c_46767,c_164]) ).

tff(c_46778,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_46773]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC065+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % 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
% 0.13/0.36  % Computer : n028.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Thu Aug  3 21:39:24 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 29.42/14.92  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.42/14.93  
% 29.42/14.93  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.56/14.96  
% 29.56/14.96  Inference rules
% 29.56/14.96  ----------------------
% 29.56/14.96  #Ref     : 5
% 29.56/14.96  #Sup     : 10261
% 29.56/14.96  #Fact    : 0
% 29.56/14.96  #Define  : 0
% 29.56/14.96  #Split   : 74
% 29.56/14.96  #Chain   : 0
% 29.56/14.96  #Close   : 0
% 29.56/14.96  
% 29.56/14.96  Ordering : KBO
% 29.56/14.96  
% 29.56/14.96  Simplification rules
% 29.56/14.96  ----------------------
% 29.56/14.96  #Subsume      : 2228
% 29.56/14.96  #Demod        : 9883
% 29.56/14.96  #Tautology    : 2214
% 29.56/14.96  #SimpNegUnit  : 805
% 29.56/14.96  #BackRed      : 276
% 29.56/14.96  
% 29.56/14.96  #Partial instantiations: 0
% 29.56/14.96  #Strategies tried      : 1
% 29.56/14.96  
% 29.56/14.96  Timing (in seconds)
% 29.56/14.96  ----------------------
% 29.56/14.97  Preprocessing        : 0.90
% 29.56/14.97  Parsing              : 0.42
% 29.56/14.97  CNF conversion       : 0.11
% 29.56/14.97  Main loop            : 12.93
% 29.56/14.97  Inferencing          : 2.62
% 29.56/14.97  Reduction            : 5.60
% 29.56/14.97  Demodulation         : 4.01
% 29.56/14.97  BG Simplification    : 0.15
% 29.56/14.97  Subsumption          : 3.65
% 29.56/14.97  Abstraction          : 0.17
% 29.56/14.97  MUC search           : 0.00
% 29.56/14.97  Cooper               : 0.00
% 29.56/14.97  Total                : 13.89
% 29.56/14.97  Index Insertion      : 0.00
% 29.56/14.97  Index Deletion       : 0.00
% 29.56/14.97  Index Matching       : 0.00
% 29.56/14.97  BG Taut test         : 0.00
%------------------------------------------------------------------------------