TSTP Solution File: SWC182+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWC182+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/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 11:01:30 EDT 2023

% Result   : Theorem 10.80s 3.46s
% Output   : CNFRefutation 11.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   85
% Syntax   : Number of formulae    :  153 (  35 unt;  78 typ;   0 def)
%            Number of atoms       :  157 (  57 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  160 (  78   ~;  59   |;   4   &)
%                                         (   1 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   3 avg)
%            Maximal term depth    :    4 (   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    :   59 (  59 usr;  10 con; 0-2 aty)
%            Number of variables   :   40 (;  38   !;   2   ?;   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_54 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_53 > #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_54',type,
    '#skF_54': $i ).

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_53',type,
    '#skF_53': $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_1015,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( ( nil != W )
                      | ( V != X )
                      | ( U != W )
                      | ! [Y] :
                          ( ssItem(Y)
                         => ! [Z] :
                              ( ssList(Z)
                             => ! [X1] :
                                  ( ssList(X1)
                                 => ( ( app(app(Z,cons(Y,nil)),X1) != U )
                                    | ( ~ memberP(Z,Y)
                                      & ~ memberP(X1,Y) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f_318,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssItem(V)
         => ssList(cons(V,U)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

tff(f_399,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ssList(app(U,V)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

tff(f_769,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssItem(V)
            & ( hd(U) = V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).

tff(f_779,axiom,
    ! [U] :
      ( ssList(U)
     => ( ( nil != U )
       => ? [V] :
            ( ssList(V)
            & ( tl(U) = V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).

tff(f_517,axiom,
    ! [U] :
      ( ssItem(U)
     => ~ memberP(nil,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).

tff(f_855,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( ( nil = app(U,V) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

tff(c_402,plain,
    ssList('#skF_50'),
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_392,plain,
    ssItem('#skF_52'),
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_166,plain,
    ! [V_861,U_859] :
      ( ssList(cons(V_861,U_859))
      | ~ ssItem(V_861)
      | ~ ssList(U_859) ),
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_390,plain,
    ssList('#skF_53'),
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_192,plain,
    ! [U_896,V_898] :
      ( ssList(app(U_896,V_898))
      | ~ ssList(V_898)
      | ~ ssList(U_896) ),
    inference(cnfTransformation,[status(thm)],[f_399]) ).

tff(c_388,plain,
    ssList('#skF_54'),
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_398,plain,
    nil = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_330,plain,
    ! [U_1045] :
      ( ( hd(U_1045) = '#skF_46'(U_1045) )
      | ( nil = U_1045 )
      | ~ ssList(U_1045) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_6391,plain,
    ! [U_1601] :
      ( ( hd(U_1601) = '#skF_46'(U_1601) )
      | ( U_1601 = '#skF_50' )
      | ~ ssList(U_1601) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_330]) ).

tff(c_6501,plain,
    ( ( hd('#skF_54') = '#skF_46'('#skF_54') )
    | ( '#skF_54' = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_388,c_6391]) ).

tff(c_6553,plain,
    '#skF_54' = '#skF_50',
    inference(splitLeft,[status(thm)],[c_6501]) ).

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_871,plain,
    ! [U_1307] :
      ( ( tl(U_1307) = '#skF_47'(U_1307) )
      | ( U_1307 = '#skF_50' )
      | ~ ssList(U_1307) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_334]) ).

tff(c_976,plain,
    ( ( tl('#skF_53') = '#skF_47'('#skF_53') )
    | ( '#skF_53' = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_390,c_871]) ).

tff(c_981,plain,
    '#skF_53' = '#skF_50',
    inference(splitLeft,[status(thm)],[c_976]) ).

tff(c_384,plain,
    ( memberP('#skF_54','#skF_52')
    | memberP('#skF_53','#skF_52') ),
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_486,plain,
    memberP('#skF_53','#skF_52'),
    inference(splitLeft,[status(thm)],[c_384]) ).

tff(c_986,plain,
    memberP('#skF_50','#skF_52'),
    inference(demodulation,[status(thm),theory(equality)],[c_981,c_486]) ).

tff(c_228,plain,
    ! [U_948] :
      ( ~ memberP(nil,U_948)
      | ~ ssItem(U_948) ),
    inference(cnfTransformation,[status(thm)],[f_517]) ).

tff(c_463,plain,
    ! [U_948] :
      ( ~ memberP('#skF_50',U_948)
      | ~ ssItem(U_948) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_228]) ).

tff(c_1007,plain,
    ~ ssItem('#skF_52'),
    inference(resolution,[status(thm)],[c_986,c_463]) ).

tff(c_1011,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_392,c_1007]) ).

tff(c_1013,plain,
    '#skF_53' != '#skF_50',
    inference(splitRight,[status(thm)],[c_976]) ).

tff(c_977,plain,
    ( ( tl('#skF_54') = '#skF_47'('#skF_54') )
    | ( '#skF_54' = '#skF_50' ) ),
    inference(resolution,[status(thm)],[c_388,c_871]) ).

tff(c_1049,plain,
    '#skF_54' = '#skF_50',
    inference(splitLeft,[status(thm)],[c_977]) ).

tff(c_394,plain,
    '#skF_48' = '#skF_50',
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_386,plain,
    app(app('#skF_53',cons('#skF_52',nil)),'#skF_54') = '#skF_48',
    inference(cnfTransformation,[status(thm)],[f_1015]) ).

tff(c_411,plain,
    app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_54') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_398,c_386]) ).

tff(c_1052,plain,
    app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_50') = '#skF_50',
    inference(demodulation,[status(thm),theory(equality)],[c_1049,c_411]) ).

tff(c_352,plain,
    ! [U_1077,V_1079] :
      ( ( nil = U_1077 )
      | ( app(U_1077,V_1079) != nil )
      | ~ ssList(V_1079)
      | ~ ssList(U_1077) ),
    inference(cnfTransformation,[status(thm)],[f_855]) ).

tff(c_2731,plain,
    ! [U_1392,V_1393] :
      ( ( U_1392 = '#skF_50' )
      | ( app(U_1392,V_1393) != '#skF_50' )
      | ~ ssList(V_1393)
      | ~ ssList(U_1392) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_352]) ).

tff(c_2733,plain,
    ( ( app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50' )
    | ~ ssList('#skF_50')
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(superposition,[status(thm),theory(equality)],[c_1052,c_2731]) ).

tff(c_2742,plain,
    ( ( app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50' )
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_2733]) ).

tff(c_2809,plain,
    ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
    inference(splitLeft,[status(thm)],[c_2742]) ).

tff(c_2812,plain,
    ( ~ ssList(cons('#skF_52','#skF_50'))
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_192,c_2809]) ).

tff(c_2815,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_2812]) ).

tff(c_2818,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_2815]) ).

tff(c_2822,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_2818]) ).

tff(c_2823,plain,
    app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50',
    inference(splitRight,[status(thm)],[c_2742]) ).

tff(c_416,plain,
    ! [U_1077,V_1079] :
      ( ( U_1077 = '#skF_50' )
      | ( app(U_1077,V_1079) != '#skF_50' )
      | ~ ssList(V_1079)
      | ~ ssList(U_1077) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_352]) ).

tff(c_2872,plain,
    ( ( '#skF_53' = '#skF_50' )
    | ~ ssList(cons('#skF_52','#skF_50'))
    | ~ ssList('#skF_53') ),
    inference(superposition,[status(thm),theory(equality)],[c_2823,c_416]) ).

tff(c_2882,plain,
    ( ( '#skF_53' = '#skF_50' )
    | ~ ssList(cons('#skF_52','#skF_50')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_2872]) ).

tff(c_2883,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(negUnitSimplification,[status(thm)],[c_1013,c_2882]) ).

tff(c_2892,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_2883]) ).

tff(c_2896,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_2892]) ).

tff(c_2898,plain,
    '#skF_54' != '#skF_50',
    inference(splitRight,[status(thm)],[c_977]) ).

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_4492,plain,
    ! [V_1467,U_1468] :
      ( ( V_1467 = '#skF_50' )
      | ( app(U_1468,V_1467) != '#skF_50' )
      | ~ ssList(V_1467)
      | ~ ssList(U_1468) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_354]) ).

tff(c_4502,plain,
    ( ( '#skF_54' = '#skF_50' )
    | ~ ssList('#skF_54')
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(superposition,[status(thm),theory(equality)],[c_411,c_4492]) ).

tff(c_4517,plain,
    ( ( '#skF_54' = '#skF_50' )
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_4502]) ).

tff(c_4518,plain,
    ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
    inference(negUnitSimplification,[status(thm)],[c_2898,c_4517]) ).

tff(c_4525,plain,
    ( ~ ssList(cons('#skF_52','#skF_50'))
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_192,c_4518]) ).

tff(c_4528,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_4525]) ).

tff(c_4531,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_4528]) ).

tff(c_4535,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_4531]) ).

tff(c_4536,plain,
    memberP('#skF_54','#skF_52'),
    inference(splitRight,[status(thm)],[c_384]) ).

tff(c_6672,plain,
    memberP('#skF_50','#skF_52'),
    inference(demodulation,[status(thm),theory(equality)],[c_6553,c_4536]) ).

tff(c_6683,plain,
    ~ ssItem('#skF_52'),
    inference(resolution,[status(thm)],[c_6672,c_463]) ).

tff(c_6687,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_392,c_6683]) ).

tff(c_6689,plain,
    '#skF_54' != '#skF_50',
    inference(splitRight,[status(thm)],[c_6501]) ).

tff(c_7478,plain,
    ! [V_1633,U_1634] :
      ( ( V_1633 = '#skF_50' )
      | ( app(U_1634,V_1633) != '#skF_50' )
      | ~ ssList(V_1633)
      | ~ ssList(U_1634) ),
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_398,c_354]) ).

tff(c_7498,plain,
    ( ( '#skF_54' = '#skF_50' )
    | ~ ssList('#skF_54')
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(superposition,[status(thm),theory(equality)],[c_411,c_7478]) ).

tff(c_7525,plain,
    ( ( '#skF_54' = '#skF_50' )
    | ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_7498]) ).

tff(c_7526,plain,
    ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
    inference(negUnitSimplification,[status(thm)],[c_6689,c_7525]) ).

tff(c_7529,plain,
    ( ~ ssList(cons('#skF_52','#skF_50'))
    | ~ ssList('#skF_53') ),
    inference(resolution,[status(thm)],[c_192,c_7526]) ).

tff(c_7532,plain,
    ~ ssList(cons('#skF_52','#skF_50')),
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_7529]) ).

tff(c_7535,plain,
    ( ~ ssItem('#skF_52')
    | ~ ssList('#skF_50') ),
    inference(resolution,[status(thm)],[c_166,c_7532]) ).

tff(c_7539,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_7535]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWC182+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 21:26:15 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 10.80/3.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.04/3.47  
% 11.04/3.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.04/3.50  
% 11.04/3.50  Inference rules
% 11.04/3.50  ----------------------
% 11.04/3.50  #Ref     : 0
% 11.04/3.50  #Sup     : 1629
% 11.04/3.50  #Fact    : 0
% 11.04/3.50  #Define  : 0
% 11.04/3.50  #Split   : 37
% 11.04/3.50  #Chain   : 0
% 11.04/3.50  #Close   : 0
% 11.04/3.50  
% 11.04/3.50  Ordering : KBO
% 11.04/3.50  
% 11.04/3.50  Simplification rules
% 11.04/3.50  ----------------------
% 11.04/3.50  #Subsume      : 112
% 11.04/3.50  #Demod        : 749
% 11.04/3.50  #Tautology    : 444
% 11.04/3.50  #SimpNegUnit  : 52
% 11.04/3.50  #BackRed      : 74
% 11.04/3.50  
% 11.04/3.50  #Partial instantiations: 0
% 11.04/3.50  #Strategies tried      : 1
% 11.04/3.50  
% 11.04/3.50  Timing (in seconds)
% 11.04/3.50  ----------------------
% 11.04/3.50  Preprocessing        : 0.87
% 11.04/3.50  Parsing              : 0.40
% 11.04/3.50  CNF conversion       : 0.11
% 11.04/3.50  Main loop            : 1.56
% 11.04/3.50  Inferencing          : 0.53
% 11.04/3.50  Reduction            : 0.48
% 11.04/3.50  Demodulation         : 0.33
% 11.04/3.50  BG Simplification    : 0.09
% 11.04/3.50  Subsumption          : 0.30
% 11.04/3.50  Abstraction          : 0.05
% 11.04/3.50  MUC search           : 0.00
% 11.04/3.50  Cooper               : 0.00
% 11.04/3.50  Total                : 2.49
% 11.04/3.50  Index Insertion      : 0.00
% 11.04/3.50  Index Deletion       : 0.00
% 11.04/3.50  Index Matching       : 0.00
% 11.04/3.50  BG Taut test         : 0.00
%------------------------------------------------------------------------------