TSTP Solution File: RNG092+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n018.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  : 600s
% DateTime : Mon Jul 18 20:34:22 EDT 2022

% Result   : Theorem 7.22s 7.41s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  882 ( 248 unt;  53 typ;   0 def)
%            Number of atoms       : 13428 (4709 equ;   0 cnn)
%            Maximal formula atoms :   39 (  16 avg)
%            Number of connectives : 49875 (9781   ~;5972   |; 360   &;33673   @)
%                                         (   4 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  116 ( 116   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   56 (  53 usr;  10 con; 0-3 aty)
%            Number of variables   : 3102 (   0   ^3046   !;  56   ?;3102   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_aElement0,type,
    aElement0: $i > $o ).

thf(tp_aElementOf0,type,
    aElementOf0: $i > $i > $o ).

thf(tp_aIdeal0,type,
    aIdeal0: $i > $o ).

thf(tp_aSet0,type,
    aSet0: $i > $o ).

thf(tp_sK10_SY76,type,
    sK10_SY76: $i > $i > $i > $i ).

thf(tp_sK11_SY69,type,
    sK11_SY69: $i > $i > $i > $i ).

thf(tp_sK12_SY77,type,
    sK12_SY77: $i > $i > $i > $i ).

thf(tp_sK13_W3,type,
    sK13_W3: $i > $i > $i > $i ).

thf(tp_sK14_SY78,type,
    sK14_SY78: $i > $i > $i > $i ).

thf(tp_sK15_W7,type,
    sK15_W7: $i > $i > $i > $i ).

thf(tp_sK16_SY91,type,
    sK16_SY91: $i > $i > $i > $i ).

thf(tp_sK17_W7,type,
    sK17_W7: $i > $i > $i > $i ).

thf(tp_sK18_SY92,type,
    sK18_SY92: $i > $i > $i > $i ).

thf(tp_sK19_SY85,type,
    sK19_SY85: $i > $i > $i > $i ).

thf(tp_sK1_W0,type,
    sK1_W0: $i ).

thf(tp_sK20_SY93,type,
    sK20_SY93: $i > $i > $i > $i ).

thf(tp_sK21_W3,type,
    sK21_W3: $i > $i > $i > $i ).

thf(tp_sK22_SY94,type,
    sK22_SY94: $i > $i > $i > $i ).

thf(tp_sK23_W7,type,
    sK23_W7: $i > $i > $i > $i ).

thf(tp_sK24_SY107,type,
    sK24_SY107: $i > $i > $i > $i ).

thf(tp_sK25_W7,type,
    sK25_W7: $i > $i > $i > $i ).

thf(tp_sK26_SY108,type,
    sK26_SY108: $i > $i > $i > $i ).

thf(tp_sK27_SY101,type,
    sK27_SY101: $i > $i > $i > $i ).

thf(tp_sK28_SY109,type,
    sK28_SY109: $i > $i > $i > $i ).

thf(tp_sK29_W3,type,
    sK29_W3: $i > $i > $i > $i ).

thf(tp_sK2_SY61,type,
    sK2_SY61: $i ).

thf(tp_sK30_SY110,type,
    sK30_SY110: $i > $i > $i > $i ).

thf(tp_sK31_W7,type,
    sK31_W7: $i > $i > $i > $i ).

thf(tp_sK32_SY123,type,
    sK32_SY123: $i > $i > $i > $i ).

thf(tp_sK33_W7,type,
    sK33_W7: $i > $i > $i > $i ).

thf(tp_sK34_SY124,type,
    sK34_SY124: $i > $i > $i > $i ).

thf(tp_sK35_SY117,type,
    sK35_SY117: $i > $i > $i > $i ).

thf(tp_sK36_SY125,type,
    sK36_SY125: $i > $i > $i > $i ).

thf(tp_sK37_W1,type,
    sK37_W1: $i > $i ).

thf(tp_sK38_SY126,type,
    sK38_SY126: $i > $i ).

thf(tp_sK39_W2,type,
    sK39_W2: $i > $i > $i ).

thf(tp_sK3_SY60,type,
    sK3_SY60: $i ).

thf(tp_sK40_W2,type,
    sK40_W2: $i > $i > $i ).

thf(tp_sK4_REN,type,
    sK4_REN: $o ).

thf(tp_sK5_W3,type,
    sK5_W3: $i > $i > $i > $i ).

thf(tp_sK6_SY62,type,
    sK6_SY62: $i > $i > $i > $i ).

thf(tp_sK7_W7,type,
    sK7_W7: $i > $i > $i > $i ).

thf(tp_sK8_SY75,type,
    sK8_SY75: $i > $i > $i > $i ).

thf(tp_sK9_W7,type,
    sK9_W7: $i > $i > $i > $i ).

thf(tp_sdtasasdt0,type,
    sdtasasdt0: $i > $i > $i ).

thf(tp_sdtasdt0,type,
    sdtasdt0: $i > $i > $i ).

thf(tp_sdtpldt0,type,
    sdtpldt0: $i > $i > $i ).

thf(tp_sdtpldt1,type,
    sdtpldt1: $i > $i > $i ).

thf(tp_smndt0,type,
    smndt0: $i > $i ).

thf(tp_sz00,type,
    sz00: $i ).

thf(tp_sz10,type,
    sz10: $i ).

thf(tp_xI,type,
    xI: $i ).

thf(tp_xJ,type,
    xJ: $i ).

thf(1,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aSet0 @ W1 ) )
     => ( ( ! [W2: $i] :
              ( ( aElementOf0 @ W2 @ W0 )
             => ( aElementOf0 @ W2 @ W1 ) )
          & ! [W2: $i] :
              ( ( aElementOf0 @ W2 @ W1 )
             => ( aElementOf0 @ W2 @ W0 ) ) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSetEq) ).

thf(2,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

thf(3,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSetSort) ).

thf(4,axiom,
    sz10 != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnNeZr) ).

thf(5,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( ( sdtasdt0 @ W0 @ W1 )
          = sz00 )
       => ( ( W0 = sz00 )
          | ( W1 = sz00 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).

thf(6,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ W0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).

thf(7,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
          = ( smndt0 @ W0 ) )
        & ( ( smndt0 @ W0 )
          = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).

thf(8,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
        & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
          = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

thf(9,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz10 )
          = W0 )
        & ( W0
          = ( sdtasdt0 @ sz10 @ W0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).

thf(10,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
        = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

thf(11,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtasdt0 @ W0 @ W1 )
        = ( sdtasdt0 @ W1 @ W0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

thf(12,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz00 )
        & ( sz00
          = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).

thf(13,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

thf(14,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

thf(15,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( ( sdtpldt0 @ W0 @ W1 )
        = ( sdtpldt0 @ W1 @ W0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

thf(16,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

thf(17,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

thf(18,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => ( aElement0 @ ( smndt0 @ W0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

thf(19,axiom,
    aElement0 @ sz10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

thf(20,axiom,
    aElement0 @ sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

thf(21,axiom,
    ! [W0: $i] :
      ( ( aElement0 @ W0 )
     => $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSort) ).

thf(22,axiom,
    ( ( aSet0 @ xI )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xI )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xI )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
    & ( aIdeal0 @ xI )
    & ( aSet0 @ xJ )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xJ )
       => ( ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ xJ )
             => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
          & ! [W1: $i] :
              ( ( aElement0 @ W1 )
             => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
    & ( aIdeal0 @ xJ ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

thf(23,conjecture,
    ( ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( ? [W3: $i,W4: $i] :
                ( ( aElementOf0 @ W3 @ xI )
                & ( aElementOf0 @ W4 @ xJ )
                & ( ( sdtpldt0 @ W3 @ W4 )
                  = W0 ) )
            | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
          & ( ? [W3: $i,W4: $i] :
                ( ( aElementOf0 @ W3 @ xI )
                & ( aElementOf0 @ W4 @ xJ )
                & ( ( sdtpldt0 @ W3 @ W4 )
                  = W1 ) )
            | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
          & ( aElement0 @ W2 ) )
       => ? [W3: $i,W4: $i] :
            ( ( aElementOf0 @ W3 @ xI )
            & ( aElementOf0 @ W4 @ xJ )
            & ( W0
              = ( sdtpldt0 @ W3 @ W4 ) )
            & ? [W5: $i,W6: $i] :
                ( ( 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: $i,W8: $i] :
                    ( ( aElementOf0 @ W7 @ xI )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtpldt0 @ W0 @ W1 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ? [W7: $i,W8: $i] :
                    ( ( aElementOf0 @ W7 @ xI )
                    & ( aElementOf0 @ W8 @ xJ )
                    & ( ( sdtpldt0 @ W7 @ W8 )
                      = ( sdtasdt0 @ W2 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
   => ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
        & ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
          <=> ? [W1: $i,W2: $i] :
                ( ( aElementOf0 @ W1 @ xI )
                & ( aElementOf0 @ W2 @ xJ )
                & ( ( sdtpldt0 @ W1 @ W2 )
                  = W0 ) ) ) )
     => ( ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
           => ( ! [W1: $i] :
                  ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                 => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              & ! [W1: $i] :
                  ( ( aElement0 @ W1 )
                 => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

thf(24,negated_conjecture,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W0 ) )
              | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W1 ) )
              | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( aElement0 @ W2 ) )
         => ? [W3: $i,W4: $i] :
              ( ( aElementOf0 @ W3 @ xI )
              & ( aElementOf0 @ W4 @ xJ )
              & ( W0
                = ( sdtpldt0 @ W3 @ W4 ) )
              & ? [W5: $i,W6: $i] :
                  ( ( 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: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtpldt0 @ W0 @ W1 ) ) )
                  & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                  & ? [W7: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtasdt0 @ W2 @ W0 ) ) )
                  & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
     => ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
            <=> ? [W1: $i,W2: $i] :
                  ( ( aElementOf0 @ W1 @ xI )
                  & ( aElementOf0 @ W2 @ xJ )
                  & ( ( sdtpldt0 @ W1 @ W2 )
                    = W0 ) ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
             => ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                   => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                & ! [W1: $i] :
                    ( ( aElement0 @ W1 )
                   => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
          | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[23]) ).

thf(25,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W0 ) )
              | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W1 ) )
              | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( aElement0 @ W2 ) )
         => ? [W3: $i,W4: $i] :
              ( ( aElementOf0 @ W3 @ xI )
              & ( aElementOf0 @ W4 @ xJ )
              & ( W0
                = ( sdtpldt0 @ W3 @ W4 ) )
              & ? [W5: $i,W6: $i] :
                  ( ( 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: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtpldt0 @ W0 @ W1 ) ) )
                  & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                  & ? [W7: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtasdt0 @ W2 @ W0 ) ) )
                  & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
     => ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
          & ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
            <=> ? [W1: $i,W2: $i] :
                  ( ( aElementOf0 @ W1 @ xI )
                  & ( aElementOf0 @ W2 @ xJ )
                  & ( ( sdtpldt0 @ W1 @ W2 )
                    = W0 ) ) ) )
       => ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
             => ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                   => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                & ! [W1: $i] :
                    ( ( aElement0 @ W1 )
                   => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
          | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(26,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aSet0 @ W0 )
            & ( aSet0 @ W1 ) )
         => ( ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W0 )
                 => ( aElementOf0 @ W2 @ W1 ) )
              & ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ W1 )
                 => ( aElementOf0 @ W2 @ W0 ) ) )
           => ( W0 = W1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(27,plain,
    ( ( ! [W0: $i] :
          ( ( aSet0 @ W0 )
         => ! [W1: $i] :
              ( ( aElementOf0 @ W1 @ W0 )
             => ( aElement0 @ W1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(28,plain,
    ( ( ! [W0: $i] :
          ( ( aSet0 @ W0 )
         => $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(29,plain,
    ( ( ( sz10 != sz00 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(30,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 ) )
         => ( ( ( sdtasdt0 @ W0 @ W1 )
              = sz00 )
           => ( ( W0 = sz00 )
              | ( W1 = sz00 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(31,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( ( ( sdtasdt0 @ W0 @ sz00 )
              = sz00 )
            & ( sz00
              = ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(32,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
              = ( smndt0 @ W0 ) )
            & ( ( smndt0 @ W0 )
              = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(33,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 )
            & ( aElement0 @ W2 ) )
         => ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
              = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
            & ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
              = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(34,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( ( ( sdtasdt0 @ W0 @ sz10 )
              = W0 )
            & ( W0
              = ( sdtasdt0 @ sz10 @ W0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(35,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 )
            & ( aElement0 @ W2 ) )
         => ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
            = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(36,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 ) )
         => ( ( sdtasdt0 @ W0 @ W1 )
            = ( sdtasdt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(37,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
              = sz00 )
            & ( sz00
              = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(38,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( ( ( sdtpldt0 @ W0 @ sz00 )
              = W0 )
            & ( W0
              = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(39,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 )
            & ( aElement0 @ W2 ) )
         => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
            = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(40,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 ) )
         => ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtpldt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(41,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 ) )
         => ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(42,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ( ( aElement0 @ W0 )
            & ( aElement0 @ W1 ) )
         => ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(43,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => ( aElement0 @ ( smndt0 @ W0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(44,plain,
    ( ( aElement0 @ sz10 )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(45,plain,
    ( ( aElement0 @ sz00 )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(46,plain,
    ( ( ! [W0: $i] :
          ( ( aElement0 @ W0 )
         => $true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(47,plain,
    ( ( ( aSet0 @ xI )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xI )
         => ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xI )
               => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
            & ! [W1: $i] :
                ( ( aElement0 @ W1 )
               => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
      & ( aIdeal0 @ xI )
      & ( aSet0 @ xJ )
      & ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xJ )
         => ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ xJ )
               => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) )
            & ! [W1: $i] :
                ( ( aElement0 @ W1 )
               => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) ) )
      & ( aIdeal0 @ xJ ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(48,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ( ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W0 ) )
              | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( ? [W3: $i,W4: $i] :
                  ( ( aElementOf0 @ W3 @ xI )
                  & ( aElementOf0 @ W4 @ xJ )
                  & ( ( sdtpldt0 @ W3 @ W4 )
                    = W1 ) )
              | ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ( aElement0 @ W2 ) )
         => ? [W3: $i,W4: $i] :
              ( ( aElementOf0 @ W3 @ xI )
              & ( aElementOf0 @ W4 @ xJ )
              & ( W0
                = ( sdtpldt0 @ W3 @ W4 ) )
              & ? [W5: $i,W6: $i] :
                  ( ( 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: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtpldt0 @ W0 @ W1 ) ) )
                  & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                  & ? [W7: $i,W8: $i] :
                      ( ( aElementOf0 @ W7 @ xI )
                      & ( aElementOf0 @ W8 @ xJ )
                      & ( ( sdtpldt0 @ W7 @ W8 )
                        = ( sdtasdt0 @ W2 @ W0 ) ) )
                  & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[25]) ).

thf(49,plain,
    ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[25]) ).

thf(50,plain,
    ( ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
        <=> ? [W1: $i,W2: $i] :
              ( ( aElementOf0 @ W1 @ xI )
              & ( aElementOf0 @ W2 @ xJ )
              & ( ( sdtpldt0 @ W1 @ W2 )
                = W0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[25]) ).

thf(51,plain,
    ( ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
         => ( ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
               => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
            & ! [W1: $i] :
                ( ( aElement0 @ W1 )
               => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
      | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[25]) ).

thf(52,plain,
    ( ( ~ ( ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
             => ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
                   => ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                & ! [W1: $i] :
                    ( ( aElement0 @ W1 )
                   => ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
          | ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[51]) ).

thf(53,plain,
    ( ( ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
      & ( sK4_REN
        | ( ( aElement0 @ sK2_SY61 )
          & ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      & ( sK4_REN
       => ( ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
          & ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      & ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[52]) ).

thf(54,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W0 ) )
              | ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W1 ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY110 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK35_SY117 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK36_SY125 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK35_SY117 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY117 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK29_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY117 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK33_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK34_SY124 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK33_W7 @ W2 @ W1 @ W0 ) @ ( sK34_SY124 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK31_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK32_SY123 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK31_W7 @ W2 @ W1 @ W0 ) @ ( sK32_SY123 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W0 ) )
              | ~ ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK22_SY94 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK27_SY101 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK28_SY109 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK27_SY101 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY101 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY101 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK25_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK26_SY108 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK25_W7 @ W2 @ W1 @ W0 ) @ ( sK26_SY108 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK23_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK24_SY107 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK23_W7 @ W2 @ W1 @ W0 ) @ ( sK24_SY107 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
              | ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W1 ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK14_SY78 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK19_SY85 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK20_SY93 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK19_SY85 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK19_SY85 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK19_SY85 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK17_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK18_SY92 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK17_W7 @ W2 @ W1 @ W0 ) @ ( sK18_SY92 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK15_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK16_SY91 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK15_W7 @ W2 @ W1 @ W0 ) @ ( sK16_SY91 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK6_SY62 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK11_SY69 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK12_SY77 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK11_SY69 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK11_SY69 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK5_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK11_SY69 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK9_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK10_SY76 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK9_W7 @ W2 @ W1 @ W0 ) @ ( sK10_SY76 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK7_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK8_SY75 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK7_W7 @ W2 @ W1 @ W0 ) @ ( sK8_SY75 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[48]) ).

thf(55,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W1 @ xI )
              | ~ ( aElementOf0 @ W2 @ xJ )
              | ( ( sdtpldt0 @ W1 @ W2 )
               != W0 ) )
          | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
          | ( ( aElementOf0 @ ( sK37_W1 @ W0 ) @ xI )
            & ( aElementOf0 @ ( sK38_SY126 @ W0 ) @ xJ )
            & ( ( sdtpldt0 @ ( sK37_W1 @ W0 ) @ ( sK38_SY126 @ W0 ) )
              = W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[50]) ).

thf(56,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aSet0 @ W0 )
          | ~ ( aSet0 @ W1 )
          | ( ( aElementOf0 @ ( sK40_W2 @ W1 @ W0 ) @ W0 )
            & ~ ( aElementOf0 @ ( sK40_W2 @ W1 @ W0 ) @ W1 ) )
          | ( ( aElementOf0 @ ( sK39_W2 @ W1 @ W0 ) @ W1 )
            & ~ ( aElementOf0 @ ( sK39_W2 @ W1 @ W0 ) @ W0 ) )
          | ( W0 = W1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(57,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aSet0 @ W0 )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ W0 )
              | ( aElement0 @ W1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(58,plain,
    ( ( ! [W0: $i] : $true )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(59,plain,
    ( ( ( sz10 != sz00 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(60,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtasdt0 @ W0 @ W1 )
           != sz00 )
          | ( W0 = sz00 )
          | ( W1 = sz00 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[30]) ).

thf(61,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ W0 @ sz00 )
            = sz00 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( sz00
            = ( sdtasdt0 @ sz00 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[31]) ).

thf(62,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
            = ( smndt0 @ W0 ) ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( smndt0 @ W0 )
            = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(63,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ~ ( aElement0 @ W0 )
              | ~ ( aElement0 @ W1 )
              | ~ ( aElement0 @ W2 )
              | ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
                = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElement0 @ W0 )
              | ~ ( aElement0 @ W1 )
              | ~ ( aElement0 @ W2 )
              | ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
                = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[33]) ).

thf(64,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ W0 @ sz10 )
            = W0 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( W0
            = ( sdtasdt0 @ sz10 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[34]) ).

thf(65,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ~ ( aElement0 @ W2 )
          | ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
            = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[35]) ).

thf(66,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtasdt0 @ W0 @ W1 )
            = ( sdtasdt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[36]) ).

thf(67,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
            = sz00 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( sz00
            = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[37]) ).

thf(68,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtpldt0 @ W0 @ sz00 )
            = W0 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( W0
            = ( sdtpldt0 @ sz00 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[38]) ).

thf(69,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ~ ( aElement0 @ W2 )
          | ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
            = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[39]) ).

thf(70,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtpldt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[40]) ).

thf(71,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[41]) ).

thf(72,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[42]) ).

thf(73,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( aElement0 @ ( smndt0 @ W0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[43]) ).

thf(74,plain,
    ( ( ! [W0: $i] : $true )
    = $true ),
    inference(extcnf_combined,[status(esa)],[46]) ).

thf(75,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xJ )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ xJ )
              | ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xJ )
          | ! [W1: $i] :
              ( ~ ( aElement0 @ W1 )
              | ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xI )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ xI )
              | ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xI )
          | ! [W1: $i] :
              ( ~ ( aElement0 @ W1 )
              | ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) )
      & ( aSet0 @ xI )
      & ( aIdeal0 @ xI )
      & ( aSet0 @ xJ )
      & ( aIdeal0 @ xJ ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[47]) ).

thf(76,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xJ )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ xJ )
              | ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xJ )
          | ! [W1: $i] :
              ( ~ ( aElement0 @ W1 )
              | ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xI )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ xI )
              | ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ xI )
          | ! [W1: $i] :
              ( ~ ( aElement0 @ W1 )
              | ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) )
      & ( aSet0 @ xI )
      & ( aIdeal0 @ xI )
      & ( aSet0 @ xJ )
      & ( aIdeal0 @ xJ ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(77,plain,
    ( ( ! [W0: $i] : $true )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(78,plain,
    ( ( aElement0 @ sz00 )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(79,plain,
    ( ( aElement0 @ sz10 )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(80,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( aElement0 @ ( smndt0 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(81,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( aElement0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(82,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( aElement0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(83,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtpldt0 @ W0 @ W1 )
            = ( sdtpldt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(84,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ~ ( aElement0 @ W2 )
          | ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
            = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(85,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtpldt0 @ W0 @ sz00 )
            = W0 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( W0
            = ( sdtpldt0 @ sz00 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(86,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
            = sz00 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( sz00
            = ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(87,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtasdt0 @ W0 @ W1 )
            = ( sdtasdt0 @ W1 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(88,plain,
    ( ( ! [W0: $i,W1: $i,W2: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ~ ( aElement0 @ W2 )
          | ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
            = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(89,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ W0 @ sz10 )
            = W0 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( W0
            = ( sdtasdt0 @ sz10 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(90,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ~ ( aElement0 @ W0 )
              | ~ ( aElement0 @ W1 )
              | ~ ( aElement0 @ W2 )
              | ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
                = ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElement0 @ W0 )
              | ~ ( aElement0 @ W1 )
              | ~ ( aElement0 @ W2 )
              | ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
                = ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(91,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ W0 )
            = ( smndt0 @ W0 ) ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( smndt0 @ W0 )
            = ( sdtasdt0 @ W0 @ ( smndt0 @ sz10 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(92,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( ( sdtasdt0 @ W0 @ sz00 )
            = sz00 ) )
      & ! [W0: $i] :
          ( ~ ( aElement0 @ W0 )
          | ( sz00
            = ( sdtasdt0 @ sz00 @ W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(93,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aElement0 @ W0 )
          | ~ ( aElement0 @ W1 )
          | ( ( sdtasdt0 @ W0 @ W1 )
           != sz00 )
          | ( W0 = sz00 )
          | ( W1 = sz00 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(94,plain,
    ( ( ( sz10 != sz00 ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(95,plain,
    ( ( ! [W0: $i] : $true )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(96,plain,
    ( ( ! [W0: $i] :
          ( ~ ( aSet0 @ W0 )
          | ! [W1: $i] :
              ( ~ ( aElementOf0 @ W1 @ W0 )
              | ( aElement0 @ W1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(97,plain,
    ( ( ! [W0: $i,W1: $i] :
          ( ~ ( aSet0 @ W0 )
          | ~ ( aSet0 @ W1 )
          | ( ( aElementOf0 @ ( sK40_W2 @ W1 @ W0 ) @ W0 )
            & ~ ( aElementOf0 @ ( sK40_W2 @ W1 @ W0 ) @ W1 ) )
          | ( ( aElementOf0 @ ( sK39_W2 @ W1 @ W0 ) @ W1 )
            & ~ ( aElementOf0 @ ( sK39_W2 @ W1 @ W0 ) @ W0 ) )
          | ( W0 = W1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(98,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W1 @ xI )
              | ~ ( aElementOf0 @ W2 @ xJ )
              | ( ( sdtpldt0 @ W1 @ W2 )
               != W0 ) )
          | ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
      & ! [W0: $i] :
          ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
          | ( ( aElementOf0 @ ( sK37_W1 @ W0 ) @ xI )
            & ( aElementOf0 @ ( sK38_SY126 @ W0 ) @ xJ )
            & ( ( sdtpldt0 @ ( sK37_W1 @ W0 ) @ ( sK38_SY126 @ W0 ) )
              = W0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(99,plain,
    ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(100,plain,
    ( ( ! [W0: $i] :
          ( ! [W1: $i,W2: $i] :
              ( ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W0 ) )
              | ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W1 ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY110 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK35_SY117 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK36_SY125 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK35_SY117 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY117 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK29_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY117 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ W2 @ W1 @ W0 ) @ ( sK36_SY125 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK33_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK34_SY124 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK33_W7 @ W2 @ W1 @ W0 ) @ ( sK34_SY124 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK31_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK32_SY123 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK31_W7 @ W2 @ W1 @ W0 ) @ ( sK32_SY123 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W0 ) )
              | ~ ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK22_SY94 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK27_SY101 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK28_SY109 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK27_SY101 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY101 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY101 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ W2 @ W1 @ W0 ) @ ( sK28_SY109 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK25_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK26_SY108 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK25_W7 @ W2 @ W1 @ W0 ) @ ( sK26_SY108 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK23_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK24_SY107 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK23_W7 @ W2 @ W1 @ W0 ) @ ( sK24_SY107 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
              | ! [W3: $i,W4: $i] :
                  ( ~ ( aElementOf0 @ W3 @ xI )
                  | ~ ( aElementOf0 @ W4 @ xJ )
                  | ( ( sdtpldt0 @ W3 @ W4 )
                   != W1 ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK14_SY78 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK19_SY85 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK20_SY93 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK19_SY85 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK19_SY85 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) @ ( sK19_SY85 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ W2 @ W1 @ W0 ) @ ( sK20_SY93 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK17_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK18_SY92 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK17_W7 @ W2 @ W1 @ W0 ) @ ( sK18_SY92 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK15_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK16_SY91 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK15_W7 @ W2 @ W1 @ W0 ) @ ( sK16_SY91 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          & ! [W1: $i,W2: $i] :
              ( ~ ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ W2 )
              | ( ( aElementOf0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W0
                  = ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK6_SY62 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sK11_SY69 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK12_SY77 @ W2 @ W1 @ W0 ) @ xJ )
                & ( W1
                  = ( sdtpldt0 @ ( sK11_SY69 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK11_SY69 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK5_W3 @ W2 @ W1 @ W0 ) ) @ xI )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) ) @ xJ )
                & ( ( sdtpldt0 @ W0 @ W1 )
                  = ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ W2 @ W1 @ W0 ) @ ( sK11_SY69 @ W2 @ W1 @ W0 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ W2 @ W1 @ W0 ) @ ( sK12_SY77 @ W2 @ W1 @ W0 ) ) ) )
                & ( aElementOf0 @ ( sK9_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK10_SY76 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK9_W7 @ W2 @ W1 @ W0 ) @ ( sK10_SY76 @ W2 @ W1 @ W0 ) )
                  = ( sdtpldt0 @ W0 @ W1 ) )
                & ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) )
                & ( aElementOf0 @ ( sK7_W7 @ W2 @ W1 @ W0 ) @ xI )
                & ( aElementOf0 @ ( sK8_SY75 @ W2 @ W1 @ W0 ) @ xJ )
                & ( ( sdtpldt0 @ ( sK7_W7 @ W2 @ W1 @ W0 ) @ ( sK8_SY75 @ W2 @ W1 @ W0 ) )
                  = ( sdtasdt0 @ W2 @ W0 ) )
                & ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(101,plain,
    ( ( ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
      & ( sK4_REN
        | ( ( aElement0 @ sK2_SY61 )
          & ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      & ( sK4_REN
       => ( ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
          & ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      & ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(102,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
                  = sz00 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( sz00
                  = ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(103,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( sdtasdt0 @ SX0 @ sz00 )
                  = sz00 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( sz00
                  = ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(104,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( aSet0 @ SX0 )
          | ~ ( aSet0 @ SX1 )
          | ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SX1 @ SX0 ) @ SX0 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SX1 @ SX0 ) @ SX1 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SX1 @ SX0 ) @ SX0 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(105,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
                  = ( smndt0 @ SX0 ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( smndt0 @ SX0 )
                  = ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(106,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( aElement0 @ SX0 )
                  | ~ ( aElement0 @ SX1 )
                  | ~ ( aElement0 @ SX2 )
                  | ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
                    = ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( aElement0 @ SX0 )
                  | ~ ( aElement0 @ SX1 )
                  | ~ ( aElement0 @ SX2 )
                  | ( ( sdtasdt0 @ ( sdtpldt0 @ SX1 @ SX2 ) @ SX0 )
                    = ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(107,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i,SX2: $i] :
                    ( ~ ( aElementOf0 @ SX1 @ xI )
                    | ~ ( aElementOf0 @ SX2 @ xJ )
                    | ( ( sdtpldt0 @ SX1 @ SX2 )
                     != SX0 ) )
                | ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
                | ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SX0 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK38_SY126 @ SX0 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK37_W1 @ SX0 ) @ ( sK38_SY126 @ SX0 ) )
                     != SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(108,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SX0 ) )
                        | ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SX1 ) )
                        | ~ ( aElement0 @ SX2 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK30_SY110 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                  | ( SX0
                                   != ( sdtpldt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK30_SY110 @ SX2 @ SX1 @ SX0 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                                                        | ( SX1
                                                                                         != ( sdtpldt0 @ ( sK35_SY117 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY125 @ SX2 @ SX1 @ SX0 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK35_SY117 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY125 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK30_SY110 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SX0 @ SX1 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK35_SY117 @ SX2 @ SX1 @ SX0 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY125 @ SX2 @ SX1 @ SX0 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK34_SY124 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK33_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK34_SY124 @ SX2 @ SX1 @ SX0 ) )
                                                           != ( sdtpldt0 @ SX0 @ SX1 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK32_SY123 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK31_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK32_SY123 @ SX2 @ SX1 @ SX0 ) )
                                               != ( sdtasdt0 @ SX2 @ SX0 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ SX0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SX0 ) )
                        | ~ ( aElementOf0 @ SX1 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElement0 @ SX2 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK22_SY94 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                  | ( SX0
                                   != ( sdtpldt0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK22_SY94 @ SX2 @ SX1 @ SX0 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                                                        | ( SX1
                                                                                         != ( sdtpldt0 @ ( sK27_SY101 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY109 @ SX2 @ SX1 @ SX0 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK27_SY101 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY109 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK22_SY94 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SX0 @ SX1 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK27_SY101 @ SX2 @ SX1 @ SX0 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY109 @ SX2 @ SX1 @ SX0 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK26_SY108 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK25_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX2 @ SX1 @ SX0 ) )
                                                           != ( sdtpldt0 @ SX0 @ SX1 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK24_SY107 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK23_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK24_SY107 @ SX2 @ SX1 @ SX0 ) )
                                               != ( sdtasdt0 @ SX2 @ SX0 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ SX0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SX1 ) )
                        | ~ ( aElement0 @ SX2 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK14_SY78 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                  | ( SX0
                                   != ( sdtpldt0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK14_SY78 @ SX2 @ SX1 @ SX0 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                                                        | ( SX1
                                                                                         != ( sdtpldt0 @ ( sK19_SY85 @ SX2 @ SX1 @ SX0 ) @ ( sK20_SY93 @ SX2 @ SX1 @ SX0 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK19_SY85 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SX2 @ SX1 @ SX0 ) @ ( sK20_SY93 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK14_SY78 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SX0 @ SX1 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK19_SY85 @ SX2 @ SX1 @ SX0 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SX2 @ SX1 @ SX0 ) @ ( sK20_SY93 @ SX2 @ SX1 @ SX0 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK18_SY92 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK17_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK18_SY92 @ SX2 @ SX1 @ SX0 ) )
                                                           != ( sdtpldt0 @ SX0 @ SX1 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK16_SY91 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK15_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK16_SY91 @ SX2 @ SX1 @ SX0 ) )
                                               != ( sdtasdt0 @ SX2 @ SX0 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ SX0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElementOf0 @ SX1 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElement0 @ SX2 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SX2 @ SX1 @ SX0 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK6_SY62 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                  | ( SX0
                                   != ( sdtpldt0 @ ( sK5_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK6_SY62 @ SX2 @ SX1 @ SX0 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                                                        | ( SX1
                                                                                         != ( sdtpldt0 @ ( sK11_SY69 @ SX2 @ SX1 @ SX0 ) @ ( sK12_SY77 @ SX2 @ SX1 @ SX0 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK11_SY69 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SX2 @ SX1 @ SX0 ) @ ( sK12_SY77 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK5_W3 @ SX2 @ SX1 @ SX0 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ ( sK6_SY62 @ SX2 @ SX1 @ SX0 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SX0 @ SX1 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK11_SY69 @ SX2 @ SX1 @ SX0 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SX2 @ SX1 @ SX0 ) @ ( sK12_SY77 @ SX2 @ SX1 @ SX0 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK10_SY76 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK9_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK10_SY76 @ SX2 @ SX1 @ SX0 ) )
                                                           != ( sdtpldt0 @ SX0 @ SX1 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SX2 @ SX1 @ SX0 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK8_SY75 @ SX2 @ SX1 @ SX0 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK7_W7 @ SX2 @ SX1 @ SX0 ) @ ( sK8_SY75 @ SX2 @ SX1 @ SX0 ) )
                                               != ( sdtasdt0 @ SX2 @ SX0 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SX2 @ SX0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(109,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( sdtpldt0 @ SX0 @ sz00 )
                  = SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( SX0
                  = ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(110,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( aElementOf0 @ SX0 @ xJ )
                            | ! [SX1: $i] :
                                ( ~ ( aElementOf0 @ SX1 @ xJ )
                                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( aElementOf0 @ SX0 @ xJ )
                            | ! [SX1: $i] :
                                ( ~ ( aElement0 @ SX1 )
                                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                              ( ~ ( aElementOf0 @ SX0 @ xI )
                                              | ! [SX1: $i] :
                                                  ( ~ ( aElementOf0 @ SX1 @ xI )
                                                  | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                                        | ~ ! [SX0: $i] :
                                              ( ~ ( aElementOf0 @ SX0 @ xI )
                                              | ! [SX1: $i] :
                                                  ( ~ ( aElement0 @ SX1 )
                                                  | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                                  | ~ ( aSet0 @ xI ) )
                            | ~ ( aIdeal0 @ xI ) )
                      | ~ ( aSet0 @ xJ ) ) )
          | ~ ( aIdeal0 @ xJ ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(111,plain,
    ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
                | ~ ~ ( ~ ( sK4_REN
                          | ~ ( ~ ( aElement0 @ sK2_SY61 )
                              | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
                      | ~ ( ~ sK4_REN
                          | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                              | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
          | ~ ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(112,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( ( sdtasdt0 @ SX0 @ sz10 )
                  = SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElement0 @ SX0 )
                | ( SX0
                  = ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(113,plain,
    $true = $true,
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(114,plain,
    ! [SV2: $i] :
      ( ( ~ ( aElement0 @ SV2 )
        | ( aElement0 @ ( smndt0 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[80]) ).

thf(115,plain,
    ! [SV3: $i] :
      ( ( ! [SY127: $i] :
            ( ~ ( aElement0 @ SV3 )
            | ~ ( aElement0 @ SY127 )
            | ( aElement0 @ ( sdtpldt0 @ SV3 @ SY127 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[81]) ).

thf(116,plain,
    ! [SV4: $i] :
      ( ( ! [SY128: $i] :
            ( ~ ( aElement0 @ SV4 )
            | ~ ( aElement0 @ SY128 )
            | ( aElement0 @ ( sdtasdt0 @ SV4 @ SY128 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(117,plain,
    ! [SV5: $i] :
      ( ( ! [SY129: $i] :
            ( ~ ( aElement0 @ SV5 )
            | ~ ( aElement0 @ SY129 )
            | ( ( sdtpldt0 @ SV5 @ SY129 )
              = ( sdtpldt0 @ SY129 @ SV5 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(118,plain,
    ! [SV6: $i] :
      ( ( ! [SY130: $i,SY131: $i] :
            ( ~ ( aElement0 @ SV6 )
            | ~ ( aElement0 @ SY130 )
            | ~ ( aElement0 @ SY131 )
            | ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SY130 ) @ SY131 )
              = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SY130 @ SY131 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(119,plain,
    ! [SV7: $i] :
      ( ( ! [SY132: $i] :
            ( ~ ( aElement0 @ SV7 )
            | ~ ( aElement0 @ SY132 )
            | ( ( sdtasdt0 @ SV7 @ SY132 )
              = ( sdtasdt0 @ SY132 @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(120,plain,
    ! [SV8: $i] :
      ( ( ! [SY133: $i,SY134: $i] :
            ( ~ ( aElement0 @ SV8 )
            | ~ ( aElement0 @ SY133 )
            | ~ ( aElement0 @ SY134 )
            | ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SY133 ) @ SY134 )
              = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SY133 @ SY134 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[88]) ).

thf(121,plain,
    ! [SV9: $i] :
      ( ( ! [SY135: $i] :
            ( ~ ( aElement0 @ SV9 )
            | ~ ( aElement0 @ SY135 )
            | ( ( sdtasdt0 @ SV9 @ SY135 )
             != sz00 )
            | ( SV9 = sz00 )
            | ( SY135 = sz00 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(122,plain,
    ( ( sz10 = sz00 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(123,plain,
    $true = $true,
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(124,plain,
    ! [SV11: $i] :
      ( ( ~ ( aSet0 @ SV11 )
        | ! [SY136: $i] :
            ( ~ ( aElementOf0 @ SY136 @ SV11 )
            | ( aElement0 @ SY136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(125,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
              = sz00 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( sz00
              = ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(126,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ SX0 @ sz00 )
              = sz00 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( sz00
              = ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(127,plain,
    ! [SV12: $i] :
      ( ( ! [SY137: $i] :
            ( ~ ( aSet0 @ SV12 )
            | ~ ( aSet0 @ SY137 )
            | ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SY137 @ SV12 ) @ SV12 )
                | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SY137 @ SV12 ) @ SY137 ) )
            | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SY137 @ SV12 ) @ SY137 )
                | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SY137 @ SV12 ) @ SV12 ) )
            | ( SV12 = SY137 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(128,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
              = ( smndt0 @ SX0 ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( smndt0 @ SX0 )
              = ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(129,plain,
    ! [SV13: $i] :
      ( ( ~ ( ~ ! [SY138: $i,SY139: $i] :
                  ( ~ ( aElement0 @ SV13 )
                  | ~ ( aElement0 @ SY138 )
                  | ~ ( aElement0 @ SY139 )
                  | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SY138 @ SY139 ) )
                    = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SY138 ) @ ( sdtasdt0 @ SV13 @ SY139 ) ) ) )
            | ~ ! [SY140: $i,SY141: $i] :
                  ( ~ ( aElement0 @ SV13 )
                  | ~ ( aElement0 @ SY140 )
                  | ~ ( aElement0 @ SY141 )
                  | ( ( sdtasdt0 @ ( sdtpldt0 @ SY140 @ SY141 ) @ SV13 )
                    = ( sdtpldt0 @ ( sdtasdt0 @ SY140 @ SV13 ) @ ( sdtasdt0 @ SY141 @ SV13 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(130,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xI )
                | ~ ( aElementOf0 @ SX2 @ xJ )
                | ( ( sdtpldt0 @ SX1 @ SX2 )
                 != SX0 ) )
            | ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SX0 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK38_SY126 @ SX0 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK37_W1 @ SX0 ) @ ( sK38_SY126 @ SX0 ) )
                 != SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(131,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
                        ( ! [SY144: $i,SY145: $i] :
                            ( ~ ( aElementOf0 @ SY144 @ xI )
                            | ~ ( aElementOf0 @ SY145 @ xJ )
                            | ( ( sdtpldt0 @ SY144 @ SY145 )
                             != SV14 ) )
                        | ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SY142 ) )
                        | ~ ( aElement0 @ SY143 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                  | ( SV14
                                   != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                                        | ( SY142
                                                                                         != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                           != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                               != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
                  | ~ ! [SY148: $i,SY149: $i] :
                        ( ! [SY150: $i,SY151: $i] :
                            ( ~ ( aElementOf0 @ SY150 @ xI )
                            | ~ ( aElementOf0 @ SY151 @ xJ )
                            | ( ( sdtpldt0 @ SY150 @ SY151 )
                             != SV14 ) )
                        | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElement0 @ SY149 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                  | ( SV14
                                   != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                                        | ( SY148
                                                                                         != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                           != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                               != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
            | ~ ~ ( ~ ! [SY152: $i,SY153: $i] :
                        ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ! [SX3: $i,SX4: $i] :
                            ( ~ ( aElementOf0 @ SX3 @ xI )
                            | ~ ( aElementOf0 @ SX4 @ xJ )
                            | ( ( sdtpldt0 @ SX3 @ SX4 )
                             != SY152 ) )
                        | ~ ( aElement0 @ SY153 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                  | ( SV14
                                   != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                                        | ( SY152
                                                                                         != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                           != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                               != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
                  | ~ ! [SY156: $i,SY157: $i] :
                        ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ( aElement0 @ SY157 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                  | ( SV14
                                   != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                                        | ( SY156
                                                                                         != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                          | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                           != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                               != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(132,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtpldt0 @ SX0 @ sz00 )
              = SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( SX0
              = ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(133,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xJ )
                        | ! [SX1: $i] :
                            ( ~ ( aElementOf0 @ SX1 @ xJ )
                            | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xJ )
                        | ! [SX1: $i] :
                            ( ~ ( aElement0 @ SX1 )
                            | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                          ( ~ ( aElementOf0 @ SX0 @ xI )
                                          | ! [SX1: $i] :
                                              ( ~ ( aElementOf0 @ SX1 @ xI )
                                              | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                                    | ~ ! [SX0: $i] :
                                          ( ~ ( aElementOf0 @ SX0 @ xI )
                                          | ! [SX1: $i] :
                                              ( ~ ( aElement0 @ SX1 )
                                              | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                              | ~ ( aSet0 @ xI ) )
                        | ~ ( aIdeal0 @ xI ) )
                  | ~ ( aSet0 @ xJ ) ) )
      | ~ ( aIdeal0 @ xJ ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(134,plain,
    ( ( ~ ~ ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ~ ( ~ ( sK4_REN
                      | ~ ( ~ ( aElement0 @ sK2_SY61 )
                          | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
                  | ~ ( ~ sK4_REN
                      | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                          | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      | ~ ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(135,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ SX0 @ sz10 )
              = SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( SX0
              = ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(136,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( aElement0 @ SV2 ) )
        = $true )
      | ( ( aElement0 @ ( smndt0 @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(137,plain,
    ! [SV15: $i,SV3: $i] :
      ( ( ~ ( aElement0 @ SV3 )
        | ~ ( aElement0 @ SV15 )
        | ( aElement0 @ ( sdtpldt0 @ SV3 @ SV15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(138,plain,
    ! [SV16: $i,SV4: $i] :
      ( ( ~ ( aElement0 @ SV4 )
        | ~ ( aElement0 @ SV16 )
        | ( aElement0 @ ( sdtasdt0 @ SV4 @ SV16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(139,plain,
    ! [SV17: $i,SV5: $i] :
      ( ( ~ ( aElement0 @ SV5 )
        | ~ ( aElement0 @ SV17 )
        | ( ( sdtpldt0 @ SV5 @ SV17 )
          = ( sdtpldt0 @ SV17 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(140,plain,
    ! [SV18: $i,SV6: $i] :
      ( ( ! [SY158: $i] :
            ( ~ ( aElement0 @ SV6 )
            | ~ ( aElement0 @ SV18 )
            | ~ ( aElement0 @ SY158 )
            | ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SY158 )
              = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SY158 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[118]) ).

thf(141,plain,
    ! [SV19: $i,SV7: $i] :
      ( ( ~ ( aElement0 @ SV7 )
        | ~ ( aElement0 @ SV19 )
        | ( ( sdtasdt0 @ SV7 @ SV19 )
          = ( sdtasdt0 @ SV19 @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[119]) ).

thf(142,plain,
    ! [SV20: $i,SV8: $i] :
      ( ( ! [SY159: $i] :
            ( ~ ( aElement0 @ SV8 )
            | ~ ( aElement0 @ SV20 )
            | ~ ( aElement0 @ SY159 )
            | ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SY159 )
              = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SY159 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(143,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ~ ( aElement0 @ SV9 )
        | ~ ( aElement0 @ SV21 )
        | ( ( sdtasdt0 @ SV9 @ SV21 )
         != sz00 )
        | ( SV9 = sz00 )
        | ( SV21 = sz00 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(144,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( aSet0 @ SV11 ) )
        = $true )
      | ( ( ! [SY136: $i] :
              ( ~ ( aElementOf0 @ SY136 @ SV11 )
              | ( aElement0 @ SY136 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(145,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
              = sz00 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[125]) ).

thf(146,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( sz00
              = ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[125]) ).

thf(147,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ SX0 @ sz00 )
              = sz00 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(148,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( sz00
              = ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(149,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ~ ( aSet0 @ SV12 )
        | ~ ( aSet0 @ SV22 )
        | ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
            | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
        | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
            | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        | ( SV12 = SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(150,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
              = ( smndt0 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[128]) ).

thf(151,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( smndt0 @ SX0 )
              = ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[128]) ).

thf(152,plain,
    ! [SV13: $i] :
      ( ( ~ ! [SY138: $i,SY139: $i] :
              ( ~ ( aElement0 @ SV13 )
              | ~ ( aElement0 @ SY138 )
              | ~ ( aElement0 @ SY139 )
              | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SY138 @ SY139 ) )
                = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SY138 ) @ ( sdtasdt0 @ SV13 @ SY139 ) ) ) )
        | ~ ! [SY140: $i,SY141: $i] :
              ( ~ ( aElement0 @ SV13 )
              | ~ ( aElement0 @ SY140 )
              | ~ ( aElement0 @ SY141 )
              | ( ( sdtasdt0 @ ( sdtpldt0 @ SY140 @ SY141 ) @ SV13 )
                = ( sdtpldt0 @ ( sdtasdt0 @ SY140 @ SV13 ) @ ( sdtasdt0 @ SY141 @ SV13 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(153,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xI )
                | ~ ( aElementOf0 @ SX2 @ xJ )
                | ( ( sdtpldt0 @ SX1 @ SX2 )
                 != SX0 ) )
            | ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[130]) ).

thf(154,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SX0 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK38_SY126 @ SX0 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK37_W1 @ SX0 ) @ ( sK38_SY126 @ SX0 ) )
                 != SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[130]) ).

thf(155,plain,
    ! [SV14: $i] :
      ( ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
                    ( ! [SY144: $i,SY145: $i] :
                        ( ~ ( aElementOf0 @ SY144 @ xI )
                        | ~ ( aElementOf0 @ SY145 @ xJ )
                        | ( ( sdtpldt0 @ SY144 @ SY145 )
                         != SV14 ) )
                    | ! [SX3: $i,SX4: $i] :
                        ( ~ ( aElementOf0 @ SX3 @ xI )
                        | ~ ( aElementOf0 @ SX4 @ xJ )
                        | ( ( sdtpldt0 @ SX3 @ SX4 )
                         != SY142 ) )
                    | ~ ( aElement0 @ SY143 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                                    | ( SY142
                                                                                     != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                           != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
              | ~ ! [SY148: $i,SY149: $i] :
                    ( ! [SY150: $i,SY151: $i] :
                        ( ~ ( aElementOf0 @ SY150 @ xI )
                        | ~ ( aElementOf0 @ SY151 @ xJ )
                        | ( ( sdtpldt0 @ SY150 @ SY151 )
                         != SV14 ) )
                    | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElement0 @ SY149 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                                    | ( SY148
                                                                                     != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                           != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
        | ~ ~ ( ~ ! [SY152: $i,SY153: $i] :
                    ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ! [SX3: $i,SX4: $i] :
                        ( ~ ( aElementOf0 @ SX3 @ xI )
                        | ~ ( aElementOf0 @ SX4 @ xJ )
                        | ( ( sdtpldt0 @ SX3 @ SX4 )
                         != SY152 ) )
                    | ~ ( aElement0 @ SY153 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                                    | ( SY152
                                                                                     != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                           != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
              | ~ ! [SY156: $i,SY157: $i] :
                    ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElement0 @ SY157 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                                    | ( SY156
                                                                                     != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                           != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(156,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtpldt0 @ SX0 @ sz00 )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[132]) ).

thf(157,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( SX0
              = ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[132]) ).

thf(158,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xJ )
                        | ! [SX1: $i] :
                            ( ~ ( aElementOf0 @ SX1 @ xJ )
                            | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xJ )
                        | ! [SX1: $i] :
                            ( ~ ( aElement0 @ SX1 )
                            | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                          ( ~ ( aElementOf0 @ SX0 @ xI )
                                          | ! [SX1: $i] :
                                              ( ~ ( aElementOf0 @ SX1 @ xI )
                                              | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                                    | ~ ! [SX0: $i] :
                                          ( ~ ( aElementOf0 @ SX0 @ xI )
                                          | ! [SX1: $i] :
                                              ( ~ ( aElement0 @ SX1 )
                                              | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                              | ~ ( aSet0 @ xI ) )
                        | ~ ( aIdeal0 @ xI ) )
                  | ~ ( aSet0 @ xJ ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[133]) ).

thf(159,plain,
    ( ( ~ ( aIdeal0 @ xJ ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[133]) ).

thf(160,plain,
    ( ( ~ ~ ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ~ ( ~ ( sK4_REN
                      | ~ ( ~ ( aElement0 @ sK2_SY61 )
                          | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
                  | ~ ( ~ sK4_REN
                      | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                          | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(161,plain,
    ( ( ~ ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(162,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( ( sdtasdt0 @ SX0 @ sz10 )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(163,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElement0 @ SX0 )
            | ( SX0
              = ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(164,plain,
    ! [SV2: $i] :
      ( ( ( aElement0 @ SV2 )
        = $false )
      | ( ( aElement0 @ ( smndt0 @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(165,plain,
    ! [SV15: $i,SV3: $i] :
      ( ( ( ~ ( aElement0 @ SV3 )
          | ~ ( aElement0 @ SV15 ) )
        = $true )
      | ( ( aElement0 @ ( sdtpldt0 @ SV3 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[137]) ).

thf(166,plain,
    ! [SV16: $i,SV4: $i] :
      ( ( ( ~ ( aElement0 @ SV4 )
          | ~ ( aElement0 @ SV16 ) )
        = $true )
      | ( ( aElement0 @ ( sdtasdt0 @ SV4 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[138]) ).

thf(167,plain,
    ! [SV17: $i,SV5: $i] :
      ( ( ( ~ ( aElement0 @ SV5 )
          | ~ ( aElement0 @ SV17 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV5 @ SV17 )
          = ( sdtpldt0 @ SV17 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[139]) ).

thf(168,plain,
    ! [SV23: $i,SV18: $i,SV6: $i] :
      ( ( ~ ( aElement0 @ SV6 )
        | ~ ( aElement0 @ SV18 )
        | ~ ( aElement0 @ SV23 )
        | ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(169,plain,
    ! [SV19: $i,SV7: $i] :
      ( ( ( ~ ( aElement0 @ SV7 )
          | ~ ( aElement0 @ SV19 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV7 @ SV19 )
          = ( sdtasdt0 @ SV19 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[141]) ).

thf(170,plain,
    ! [SV24: $i,SV20: $i,SV8: $i] :
      ( ( ~ ( aElement0 @ SV8 )
        | ~ ( aElement0 @ SV20 )
        | ~ ( aElement0 @ SV24 )
        | ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[142]) ).

thf(171,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ~ ( aElement0 @ SV9 )
          | ~ ( aElement0 @ SV21 ) )
        = $true )
      | ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
           != sz00 )
          | ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[143]) ).

thf(172,plain,
    ! [SV11: $i] :
      ( ( ( aSet0 @ SV11 )
        = $false )
      | ( ( ! [SY136: $i] :
              ( ~ ( aElementOf0 @ SY136 @ SV11 )
              | ( aElement0 @ SY136 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(173,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
            = sz00 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(174,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( sz00
            = ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[146]) ).

thf(175,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( sdtasdt0 @ SX0 @ sz00 )
            = sz00 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(176,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( sz00
            = ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(177,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ( ~ ( aSet0 @ SV12 )
          | ~ ( aSet0 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
          | ( SV12 = SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(178,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SX0 )
            = ( smndt0 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[150]) ).

thf(179,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( smndt0 @ SX0 )
            = ( sdtasdt0 @ SX0 @ ( smndt0 @ sz10 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(180,plain,
    ! [SV13: $i] :
      ( ( ~ ! [SY138: $i,SY139: $i] :
              ( ~ ( aElement0 @ SV13 )
              | ~ ( aElement0 @ SY138 )
              | ~ ( aElement0 @ SY139 )
              | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SY138 @ SY139 ) )
                = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SY138 ) @ ( sdtasdt0 @ SV13 @ SY139 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[152]) ).

thf(181,plain,
    ! [SV13: $i] :
      ( ( ~ ! [SY140: $i,SY141: $i] :
              ( ~ ( aElement0 @ SV13 )
              | ~ ( aElement0 @ SY140 )
              | ~ ( aElement0 @ SY141 )
              | ( ( sdtasdt0 @ ( sdtpldt0 @ SY140 @ SY141 ) @ SV13 )
                = ( sdtpldt0 @ ( sdtasdt0 @ SY140 @ SV13 ) @ ( sdtasdt0 @ SY141 @ SV13 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[152]) ).

thf(182,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i,SX2: $i] :
              ( ~ ( aElementOf0 @ SX1 @ xI )
              | ~ ( aElementOf0 @ SX2 @ xJ )
              | ( ( sdtpldt0 @ SX1 @ SX2 )
               != SX0 ) )
          | ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[153]) ).

thf(183,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElementOf0 @ SX0 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SX0 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK38_SY126 @ SX0 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK37_W1 @ SX0 ) @ ( sK38_SY126 @ SX0 ) )
               != SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(184,plain,
    ! [SV14: $i] :
      ( ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
                    ( ! [SY144: $i,SY145: $i] :
                        ( ~ ( aElementOf0 @ SY144 @ xI )
                        | ~ ( aElementOf0 @ SY145 @ xJ )
                        | ( ( sdtpldt0 @ SY144 @ SY145 )
                         != SV14 ) )
                    | ! [SX3: $i,SX4: $i] :
                        ( ~ ( aElementOf0 @ SX3 @ xI )
                        | ~ ( aElementOf0 @ SX4 @ xJ )
                        | ( ( sdtpldt0 @ SX3 @ SX4 )
                         != SY142 ) )
                    | ~ ( aElement0 @ SY143 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                                    | ( SY142
                                                                                     != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                           != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
              | ~ ! [SY148: $i,SY149: $i] :
                    ( ! [SY150: $i,SY151: $i] :
                        ( ~ ( aElementOf0 @ SY150 @ xI )
                        | ~ ( aElementOf0 @ SY151 @ xJ )
                        | ( ( sdtpldt0 @ SY150 @ SY151 )
                         != SV14 ) )
                    | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElement0 @ SY149 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                                    | ( SY148
                                                                                     != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                           != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[155]) ).

thf(185,plain,
    ! [SV14: $i] :
      ( ( ~ ~ ( ~ ! [SY152: $i,SY153: $i] :
                    ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ! [SX3: $i,SX4: $i] :
                        ( ~ ( aElementOf0 @ SX3 @ xI )
                        | ~ ( aElementOf0 @ SX4 @ xJ )
                        | ( ( sdtpldt0 @ SX3 @ SX4 )
                         != SY152 ) )
                    | ~ ( aElement0 @ SY153 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                                    | ( SY152
                                                                                     != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                           != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
              | ~ ! [SY156: $i,SY157: $i] :
                    ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ( aElement0 @ SY157 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                              | ( SV14
                               != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                        | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                                    | ( SY156
                                                                                     != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                            | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                      | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                       != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                           != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[155]) ).

thf(186,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( sdtpldt0 @ SX0 @ sz00 )
            = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[156]) ).

thf(187,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( SX0
            = ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(188,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( aElementOf0 @ SX0 @ xJ )
                      | ! [SX1: $i] :
                          ( ~ ( aElementOf0 @ SX1 @ xJ )
                          | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( aElementOf0 @ SX0 @ xJ )
                      | ! [SX1: $i] :
                          ( ~ ( aElement0 @ SX1 )
                          | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                        ( ~ ( aElementOf0 @ SX0 @ xI )
                                        | ! [SX1: $i] :
                                            ( ~ ( aElementOf0 @ SX1 @ xI )
                                            | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                                  | ~ ! [SX0: $i] :
                                        ( ~ ( aElementOf0 @ SX0 @ xI )
                                        | ! [SX1: $i] :
                                            ( ~ ( aElement0 @ SX1 )
                                            | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                            | ~ ( aSet0 @ xI ) )
                      | ~ ( aIdeal0 @ xI ) )
                | ~ ( aSet0 @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[158]) ).

thf(189,plain,
    ( ( aIdeal0 @ xJ )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[159]) ).

thf(190,plain,
    ( ( ~ ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ~ ( ~ ( sK4_REN
                    | ~ ( ~ ( aElement0 @ sK2_SY61 )
                        | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
                | ~ ( ~ sK4_REN
                    | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                        | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[160]) ).

thf(191,plain,
    ( ( ~ ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[161]) ).

thf(192,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( ( sdtasdt0 @ SX0 @ sz10 )
            = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[162]) ).

thf(193,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElement0 @ SX0 )
          | ( SX0
            = ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(194,plain,
    ! [SV15: $i,SV3: $i] :
      ( ( ( ~ ( aElement0 @ SV3 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV15 ) )
        = $true )
      | ( ( aElement0 @ ( sdtpldt0 @ SV3 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(195,plain,
    ! [SV16: $i,SV4: $i] :
      ( ( ( ~ ( aElement0 @ SV4 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV16 ) )
        = $true )
      | ( ( aElement0 @ ( sdtasdt0 @ SV4 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(196,plain,
    ! [SV17: $i,SV5: $i] :
      ( ( ( ~ ( aElement0 @ SV5 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV17 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV5 @ SV17 )
          = ( sdtpldt0 @ SV17 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(197,plain,
    ! [SV23: $i,SV18: $i,SV6: $i] :
      ( ( ( ~ ( aElement0 @ SV6 )
          | ~ ( aElement0 @ SV18 )
          | ~ ( aElement0 @ SV23 ) )
        = $true )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(198,plain,
    ! [SV19: $i,SV7: $i] :
      ( ( ( ~ ( aElement0 @ SV7 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV19 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV7 @ SV19 )
          = ( sdtasdt0 @ SV19 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(199,plain,
    ! [SV24: $i,SV20: $i,SV8: $i] :
      ( ( ( ~ ( aElement0 @ SV8 )
          | ~ ( aElement0 @ SV20 )
          | ~ ( aElement0 @ SV24 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(200,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ~ ( aElement0 @ SV9 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV21 ) )
        = $true )
      | ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
           != sz00 )
          | ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(201,plain,
    ! [SV11: $i,SV25: $i] :
      ( ( ( ~ ( aElementOf0 @ SV25 @ SV11 )
          | ( aElement0 @ SV25 ) )
        = $true )
      | ( ( aSet0 @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(202,plain,
    ! [SV26: $i] :
      ( ( ~ ( aElement0 @ SV26 )
        | ( ( sdtpldt0 @ SV26 @ ( smndt0 @ SV26 ) )
          = sz00 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(203,plain,
    ! [SV27: $i] :
      ( ( ~ ( aElement0 @ SV27 )
        | ( sz00
          = ( sdtpldt0 @ ( smndt0 @ SV27 ) @ SV27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(204,plain,
    ! [SV28: $i] :
      ( ( ~ ( aElement0 @ SV28 )
        | ( ( sdtasdt0 @ SV28 @ sz00 )
          = sz00 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(205,plain,
    ! [SV29: $i] :
      ( ( ~ ( aElement0 @ SV29 )
        | ( sz00
          = ( sdtasdt0 @ sz00 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(206,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ( ~ ( aSet0 @ SV12 ) )
        = $true )
      | ( ( ~ ( aSet0 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
          | ( SV12 = SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[177]) ).

thf(207,plain,
    ! [SV30: $i] :
      ( ( ~ ( aElement0 @ SV30 )
        | ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV30 )
          = ( smndt0 @ SV30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(208,plain,
    ! [SV31: $i] :
      ( ( ~ ( aElement0 @ SV31 )
        | ( ( smndt0 @ SV31 )
          = ( sdtasdt0 @ SV31 @ ( smndt0 @ sz10 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(209,plain,
    ! [SV13: $i] :
      ( ( ! [SY138: $i,SY139: $i] :
            ( ~ ( aElement0 @ SV13 )
            | ~ ( aElement0 @ SY138 )
            | ~ ( aElement0 @ SY139 )
            | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SY138 @ SY139 ) )
              = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SY138 ) @ ( sdtasdt0 @ SV13 @ SY139 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[180]) ).

thf(210,plain,
    ! [SV13: $i] :
      ( ( ! [SY140: $i,SY141: $i] :
            ( ~ ( aElement0 @ SV13 )
            | ~ ( aElement0 @ SY140 )
            | ~ ( aElement0 @ SY141 )
            | ( ( sdtasdt0 @ ( sdtpldt0 @ SY140 @ SY141 ) @ SV13 )
              = ( sdtpldt0 @ ( sdtasdt0 @ SY140 @ SV13 ) @ ( sdtasdt0 @ SY141 @ SV13 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[181]) ).

thf(211,plain,
    ! [SV32: $i] :
      ( ( ! [SY160: $i,SY161: $i] :
            ( ~ ( aElementOf0 @ SY160 @ xI )
            | ~ ( aElementOf0 @ SY161 @ xJ )
            | ( ( sdtpldt0 @ SY160 @ SY161 )
             != SV32 ) )
        | ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(212,plain,
    ! [SV33: $i] :
      ( ( ~ ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
                  | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
            | ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
             != SV33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(213,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ! [SY142: $i,SY143: $i] :
                  ( ! [SY144: $i,SY145: $i] :
                      ( ~ ( aElementOf0 @ SY144 @ xI )
                      | ~ ( aElementOf0 @ SY145 @ xJ )
                      | ( ( sdtpldt0 @ SY144 @ SY145 )
                       != SV14 ) )
                  | ! [SX3: $i,SX4: $i] :
                      ( ~ ( aElementOf0 @ SX3 @ xI )
                      | ~ ( aElementOf0 @ SX4 @ xJ )
                      | ( ( sdtpldt0 @ SX3 @ SX4 )
                       != SY142 ) )
                  | ~ ( aElement0 @ SY143 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                            | ( SV14
                             != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                        | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                                  | ( SY142
                                                                                   != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                     != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                         != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
            | ~ ! [SY148: $i,SY149: $i] :
                  ( ! [SY150: $i,SY151: $i] :
                      ( ~ ( aElementOf0 @ SY150 @ xI )
                      | ~ ( aElementOf0 @ SY151 @ xJ )
                      | ( ( sdtpldt0 @ SY150 @ SY151 )
                       != SV14 ) )
                  | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
                  | ~ ( aElement0 @ SY149 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                            | ( SV14
                             != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                        | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                                  | ( SY148
                                                                                   != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                     != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                         != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(214,plain,
    ! [SV14: $i] :
      ( ( ~ ( ~ ! [SY152: $i,SY153: $i] :
                  ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                  | ! [SX3: $i,SX4: $i] :
                      ( ~ ( aElementOf0 @ SX3 @ xI )
                      | ~ ( aElementOf0 @ SX4 @ xJ )
                      | ( ( sdtpldt0 @ SX3 @ SX4 )
                       != SY152 ) )
                  | ~ ( aElement0 @ SY153 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                            | ( SV14
                             != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                        | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                                  | ( SY152
                                                                                   != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                     != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                         != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
            | ~ ! [SY156: $i,SY157: $i] :
                  ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
                  | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
                  | ~ ( aElement0 @ SY157 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                            | ( SV14
                             != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                        | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                                  | ( SY156
                                                                                   != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                    | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                     != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                         != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[185]) ).

thf(215,plain,
    ! [SV34: $i] :
      ( ( ~ ( aElement0 @ SV34 )
        | ( ( sdtpldt0 @ SV34 @ sz00 )
          = SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(216,plain,
    ! [SV35: $i] :
      ( ( ~ ( aElement0 @ SV35 )
        | ( SV35
          = ( sdtpldt0 @ sz00 @ SV35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(217,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xJ )
                  | ! [SX1: $i] :
                      ( ~ ( aElementOf0 @ SX1 @ xJ )
                      | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xJ )
                  | ! [SX1: $i] :
                      ( ~ ( aElement0 @ SX1 )
                      | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( aElementOf0 @ SX0 @ xI )
                                    | ! [SX1: $i] :
                                        ( ~ ( aElementOf0 @ SX1 @ xI )
                                        | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( aElementOf0 @ SX0 @ xI )
                                    | ! [SX1: $i] :
                                        ( ~ ( aElement0 @ SX1 )
                                        | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                        | ~ ( aSet0 @ xI ) )
                  | ~ ( aIdeal0 @ xI ) )
            | ~ ( aSet0 @ xJ ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(218,plain,
    ( ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
      | ~ ~ ( ~ ( sK4_REN
                | ~ ( ~ ( aElement0 @ sK2_SY61 )
                    | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
            | ~ ( ~ sK4_REN
                | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(219,plain,
    ( ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(220,plain,
    ! [SV36: $i] :
      ( ( ~ ( aElement0 @ SV36 )
        | ( ( sdtasdt0 @ SV36 @ sz10 )
          = SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[192]) ).

thf(221,plain,
    ! [SV37: $i] :
      ( ( ~ ( aElement0 @ SV37 )
        | ( SV37
          = ( sdtasdt0 @ sz10 @ SV37 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(222,plain,
    ! [SV15: $i,SV3: $i] :
      ( ( ( aElement0 @ SV3 )
        = $false )
      | ( ( ~ ( aElement0 @ SV15 ) )
        = $true )
      | ( ( aElement0 @ ( sdtpldt0 @ SV3 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(223,plain,
    ! [SV16: $i,SV4: $i] :
      ( ( ( aElement0 @ SV4 )
        = $false )
      | ( ( ~ ( aElement0 @ SV16 ) )
        = $true )
      | ( ( aElement0 @ ( sdtasdt0 @ SV4 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(224,plain,
    ! [SV17: $i,SV5: $i] :
      ( ( ( aElement0 @ SV5 )
        = $false )
      | ( ( ~ ( aElement0 @ SV17 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV5 @ SV17 )
          = ( sdtpldt0 @ SV17 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(225,plain,
    ! [SV23: $i,SV18: $i,SV6: $i] :
      ( ( ( ~ ( aElement0 @ SV6 )
          | ~ ( aElement0 @ SV18 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV23 ) )
        = $true )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(226,plain,
    ! [SV19: $i,SV7: $i] :
      ( ( ( aElement0 @ SV7 )
        = $false )
      | ( ( ~ ( aElement0 @ SV19 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV7 @ SV19 )
          = ( sdtasdt0 @ SV19 @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(227,plain,
    ! [SV24: $i,SV20: $i,SV8: $i] :
      ( ( ( ~ ( aElement0 @ SV8 )
          | ~ ( aElement0 @ SV20 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV24 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(228,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( aElement0 @ SV9 )
        = $false )
      | ( ( ~ ( aElement0 @ SV21 ) )
        = $true )
      | ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
           != sz00 )
          | ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(229,plain,
    ! [SV11: $i,SV25: $i] :
      ( ( ( ~ ( aElementOf0 @ SV25 @ SV11 ) )
        = $true )
      | ( ( aElement0 @ SV25 )
        = $true )
      | ( ( aSet0 @ SV11 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[201]) ).

thf(230,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( aElement0 @ SV26 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV26 @ ( smndt0 @ SV26 ) )
          = sz00 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[202]) ).

thf(231,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( aElement0 @ SV27 ) )
        = $true )
      | ( ( sz00
          = ( sdtpldt0 @ ( smndt0 @ SV27 ) @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[203]) ).

thf(232,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( aElement0 @ SV28 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV28 @ sz00 )
          = sz00 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(233,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( aElement0 @ SV29 ) )
        = $true )
      | ( ( sz00
          = ( sdtasdt0 @ sz00 @ SV29 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[205]) ).

thf(234,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ( aSet0 @ SV12 )
        = $false )
      | ( ( ~ ( aSet0 @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
          | ( SV12 = SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(235,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( aElement0 @ SV30 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV30 )
          = ( smndt0 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(236,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( aElement0 @ SV31 ) )
        = $true )
      | ( ( ( smndt0 @ SV31 )
          = ( sdtasdt0 @ SV31 @ ( smndt0 @ sz10 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(237,plain,
    ! [SV38: $i,SV13: $i] :
      ( ( ! [SY162: $i] :
            ( ~ ( aElement0 @ SV13 )
            | ~ ( aElement0 @ SV38 )
            | ~ ( aElement0 @ SY162 )
            | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SY162 ) )
              = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SY162 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(238,plain,
    ! [SV39: $i,SV13: $i] :
      ( ( ! [SY163: $i] :
            ( ~ ( aElement0 @ SV13 )
            | ~ ( aElement0 @ SV39 )
            | ~ ( aElement0 @ SY163 )
            | ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SY163 ) @ SV13 )
              = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SY163 @ SV13 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[210]) ).

thf(239,plain,
    ! [SV32: $i] :
      ( ( ( ! [SY160: $i,SY161: $i] :
              ( ~ ( aElementOf0 @ SY160 @ xI )
              | ~ ( aElementOf0 @ SY161 @ xJ )
              | ( ( sdtpldt0 @ SY160 @ SY161 )
               != SV32 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[211]) ).

thf(240,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
               != SV33 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[212]) ).

thf(241,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY142: $i,SY143: $i] :
              ( ! [SY144: $i,SY145: $i] :
                  ( ~ ( aElementOf0 @ SY144 @ xI )
                  | ~ ( aElementOf0 @ SY145 @ xJ )
                  | ( ( sdtpldt0 @ SY144 @ SY145 )
                   != SV14 ) )
              | ! [SX3: $i,SX4: $i] :
                  ( ~ ( aElementOf0 @ SX3 @ xI )
                  | ~ ( aElementOf0 @ SX4 @ xJ )
                  | ( ( sdtpldt0 @ SX3 @ SX4 )
                   != SY142 ) )
              | ~ ( aElement0 @ SY143 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                              | ( SY142
                                                                               != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                     != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        | ~ ! [SY148: $i,SY149: $i] :
              ( ! [SY150: $i,SY151: $i] :
                  ( ~ ( aElementOf0 @ SY150 @ xI )
                  | ~ ( aElementOf0 @ SY151 @ xJ )
                  | ( ( sdtpldt0 @ SY150 @ SY151 )
                   != SV14 ) )
              | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ SY149 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                              | ( SY148
                                                                               != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                     != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(242,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY152: $i,SY153: $i] :
              ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
              | ! [SX3: $i,SX4: $i] :
                  ( ~ ( aElementOf0 @ SX3 @ xI )
                  | ~ ( aElementOf0 @ SX4 @ xJ )
                  | ( ( sdtpldt0 @ SX3 @ SX4 )
                   != SY152 ) )
              | ~ ( aElement0 @ SY153 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                              | ( SY152
                                                                               != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                     != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        | ~ ! [SY156: $i,SY157: $i] :
              ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ SY157 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                              | ( SY156
                                                                               != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                     != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(243,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( aElement0 @ SV34 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV34 @ sz00 )
          = SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[215]) ).

thf(244,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( aElement0 @ SV35 ) )
        = $true )
      | ( ( SV35
          = ( sdtpldt0 @ sz00 @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[216]) ).

thf(245,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xJ )
                  | ! [SX1: $i] :
                      ( ~ ( aElementOf0 @ SX1 @ xJ )
                      | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xJ )
                  | ! [SX1: $i] :
                      ( ~ ( aElement0 @ SX1 )
                      | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(246,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                    ( ~ ( aElementOf0 @ SX0 @ xI )
                                    | ! [SX1: $i] :
                                        ( ~ ( aElementOf0 @ SX1 @ xI )
                                        | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                              | ~ ! [SX0: $i] :
                                    ( ~ ( aElementOf0 @ SX0 @ xI )
                                    | ! [SX1: $i] :
                                        ( ~ ( aElement0 @ SX1 )
                                        | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                        | ~ ( aSet0 @ xI ) )
                  | ~ ( aIdeal0 @ xI ) )
            | ~ ( aSet0 @ xJ ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(247,plain,
    ( ( ~ ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(248,plain,
    ( ( ~ ~ ( ~ ( sK4_REN
                | ~ ( ~ ( aElement0 @ sK2_SY61 )
                    | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
            | ~ ( ~ sK4_REN
                | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                    | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(249,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( aElement0 @ SV36 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV36 @ sz10 )
          = SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[220]) ).

thf(250,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( aElement0 @ SV37 ) )
        = $true )
      | ( ( SV37
          = ( sdtasdt0 @ sz10 @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(251,plain,
    ! [SV3: $i,SV15: $i] :
      ( ( ( aElement0 @ SV15 )
        = $false )
      | ( ( aElement0 @ SV3 )
        = $false )
      | ( ( aElement0 @ ( sdtpldt0 @ SV3 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(252,plain,
    ! [SV4: $i,SV16: $i] :
      ( ( ( aElement0 @ SV16 )
        = $false )
      | ( ( aElement0 @ SV4 )
        = $false )
      | ( ( aElement0 @ ( sdtasdt0 @ SV4 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(253,plain,
    ! [SV5: $i,SV17: $i] :
      ( ( ( aElement0 @ SV17 )
        = $false )
      | ( ( aElement0 @ SV5 )
        = $false )
      | ( ( ( sdtpldt0 @ SV5 @ SV17 )
          = ( sdtpldt0 @ SV17 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(254,plain,
    ! [SV23: $i,SV18: $i,SV6: $i] :
      ( ( ( ~ ( aElement0 @ SV6 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV18 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV23 ) )
        = $true )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(255,plain,
    ! [SV7: $i,SV19: $i] :
      ( ( ( aElement0 @ SV19 )
        = $false )
      | ( ( aElement0 @ SV7 )
        = $false )
      | ( ( ( sdtasdt0 @ SV7 @ SV19 )
          = ( sdtasdt0 @ SV19 @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(256,plain,
    ! [SV24: $i,SV20: $i,SV8: $i] :
      ( ( ( ~ ( aElement0 @ SV8 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV20 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV24 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(257,plain,
    ! [SV9: $i,SV21: $i] :
      ( ( ( aElement0 @ SV21 )
        = $false )
      | ( ( aElement0 @ SV9 )
        = $false )
      | ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
           != sz00 )
          | ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(258,plain,
    ! [SV11: $i,SV25: $i] :
      ( ( ( aElementOf0 @ SV25 @ SV11 )
        = $false )
      | ( ( aElement0 @ SV25 )
        = $true )
      | ( ( aSet0 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(259,plain,
    ! [SV26: $i] :
      ( ( ( aElement0 @ SV26 )
        = $false )
      | ( ( ( sdtpldt0 @ SV26 @ ( smndt0 @ SV26 ) )
          = sz00 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(260,plain,
    ! [SV27: $i] :
      ( ( ( aElement0 @ SV27 )
        = $false )
      | ( ( sz00
          = ( sdtpldt0 @ ( smndt0 @ SV27 ) @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(261,plain,
    ! [SV28: $i] :
      ( ( ( aElement0 @ SV28 )
        = $false )
      | ( ( ( sdtasdt0 @ SV28 @ sz00 )
          = sz00 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(262,plain,
    ! [SV29: $i] :
      ( ( ( aElement0 @ SV29 )
        = $false )
      | ( ( sz00
          = ( sdtasdt0 @ sz00 @ SV29 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(263,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aSet0 @ SV22 )
        = $false )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
          | ( SV12 = SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(264,plain,
    ! [SV30: $i] :
      ( ( ( aElement0 @ SV30 )
        = $false )
      | ( ( ( sdtasdt0 @ ( smndt0 @ sz10 ) @ SV30 )
          = ( smndt0 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(265,plain,
    ! [SV31: $i] :
      ( ( ( aElement0 @ SV31 )
        = $false )
      | ( ( ( smndt0 @ SV31 )
          = ( sdtasdt0 @ SV31 @ ( smndt0 @ sz10 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(266,plain,
    ! [SV40: $i,SV38: $i,SV13: $i] :
      ( ( ~ ( aElement0 @ SV13 )
        | ~ ( aElement0 @ SV38 )
        | ~ ( aElement0 @ SV40 )
        | ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(267,plain,
    ! [SV41: $i,SV39: $i,SV13: $i] :
      ( ( ~ ( aElement0 @ SV13 )
        | ~ ( aElement0 @ SV39 )
        | ~ ( aElement0 @ SV41 )
        | ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(268,plain,
    ! [SV32: $i,SV42: $i] :
      ( ( ( ! [SY164: $i] :
              ( ~ ( aElementOf0 @ SV42 @ xI )
              | ~ ( aElementOf0 @ SY164 @ xJ )
              | ( ( sdtpldt0 @ SV42 @ SY164 )
               != SV32 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(269,plain,
    ! [SV33: $i] :
      ( ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
               != SV33 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(270,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY142: $i,SY143: $i] :
              ( ! [SY144: $i,SY145: $i] :
                  ( ~ ( aElementOf0 @ SY144 @ xI )
                  | ~ ( aElementOf0 @ SY145 @ xJ )
                  | ( ( sdtpldt0 @ SY144 @ SY145 )
                   != SV14 ) )
              | ! [SX3: $i,SX4: $i] :
                  ( ~ ( aElementOf0 @ SX3 @ xI )
                  | ~ ( aElementOf0 @ SX4 @ xJ )
                  | ( ( sdtpldt0 @ SX3 @ SX4 )
                   != SY142 ) )
              | ~ ( aElement0 @ SY143 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                              | ( SY142
                                                                               != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY142 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                     != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(271,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY148: $i,SY149: $i] :
              ( ! [SY150: $i,SY151: $i] :
                  ( ~ ( aElementOf0 @ SY150 @ xI )
                  | ~ ( aElementOf0 @ SY151 @ xJ )
                  | ( ( sdtpldt0 @ SY150 @ SY151 )
                   != SV14 ) )
              | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ SY149 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                              | ( SY148
                                                                               != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY148 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                     != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(272,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY152: $i,SY153: $i] :
              ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
              | ! [SX3: $i,SX4: $i] :
                  ( ~ ( aElementOf0 @ SX3 @ xI )
                  | ~ ( aElementOf0 @ SX4 @ xJ )
                  | ( ( sdtpldt0 @ SX3 @ SX4 )
                   != SY152 ) )
              | ~ ( aElement0 @ SY153 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                              | ( SY152
                                                                               != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY152 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                     != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(273,plain,
    ! [SV14: $i] :
      ( ( ~ ! [SY156: $i,SY157: $i] :
              ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ( aElement0 @ SY157 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                              | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                        | ( SV14
                         != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                              | ( SY156
                                                                               != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                | ( ( sdtpldt0 @ SV14 @ SY156 )
                                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                      | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                                 != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                          | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                    | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                     != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[242]) ).

thf(274,plain,
    ! [SV34: $i] :
      ( ( ( aElement0 @ SV34 )
        = $false )
      | ( ( ( sdtpldt0 @ SV34 @ sz00 )
          = SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(275,plain,
    ! [SV35: $i] :
      ( ( ( aElement0 @ SV35 )
        = $false )
      | ( ( SV35
          = ( sdtpldt0 @ sz00 @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[244]) ).

thf(276,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElementOf0 @ SX0 @ xJ )
                | ! [SX1: $i] :
                    ( ~ ( aElementOf0 @ SX1 @ xJ )
                    | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElementOf0 @ SX0 @ xJ )
                | ! [SX1: $i] :
                    ( ~ ( aElement0 @ SX1 )
                    | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(277,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                                  ( ~ ( aElementOf0 @ SX0 @ xI )
                                  | ! [SX1: $i] :
                                      ( ~ ( aElementOf0 @ SX1 @ xI )
                                      | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                            | ~ ! [SX0: $i] :
                                  ( ~ ( aElementOf0 @ SX0 @ xI )
                                  | ! [SX1: $i] :
                                      ( ~ ( aElement0 @ SX1 )
                                      | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                      | ~ ( aSet0 @ xI ) )
                | ~ ( aIdeal0 @ xI ) )
          | ~ ( aSet0 @ xJ ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[246]) ).

thf(278,plain,
    ( ( aElementOf0 @ sK1_W0 @ ( sdtpldt1 @ xI @ xJ ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(279,plain,
    ( ( ~ ( ~ ( sK4_REN
              | ~ ( ~ ( aElement0 @ sK2_SY61 )
                  | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
          | ~ ( ~ sK4_REN
              | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
                  | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[248]) ).

thf(280,plain,
    ! [SV36: $i] :
      ( ( ( aElement0 @ SV36 )
        = $false )
      | ( ( ( sdtasdt0 @ SV36 @ sz10 )
          = SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(281,plain,
    ! [SV37: $i] :
      ( ( ( aElement0 @ SV37 )
        = $false )
      | ( ( SV37
          = ( sdtasdt0 @ sz10 @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(282,plain,
    ! [SV23: $i,SV18: $i,SV6: $i] :
      ( ( ( aElement0 @ SV6 )
        = $false )
      | ( ( ~ ( aElement0 @ SV18 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV23 ) )
        = $true )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(283,plain,
    ! [SV24: $i,SV20: $i,SV8: $i] :
      ( ( ( aElement0 @ SV8 )
        = $false )
      | ( ( ~ ( aElement0 @ SV20 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV24 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(284,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
           != sz00 ) )
        = $true )
      | ( ( ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true )
      | ( ( aElement0 @ SV9 )
        = $false )
      | ( ( aElement0 @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[257]) ).

thf(285,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
          | ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(286,plain,
    ! [SV40: $i,SV38: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 )
          | ~ ( aElement0 @ SV38 )
          | ~ ( aElement0 @ SV40 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(287,plain,
    ! [SV41: $i,SV39: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 )
          | ~ ( aElement0 @ SV39 )
          | ~ ( aElement0 @ SV41 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[267]) ).

thf(288,plain,
    ! [SV32: $i,SV43: $i,SV42: $i] :
      ( ( ( ~ ( aElementOf0 @ SV42 @ xI )
          | ~ ( aElementOf0 @ SV43 @ xJ )
          | ( ( sdtpldt0 @ SV42 @ SV43 )
           != SV32 ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(289,plain,
    ! [SV33: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
                | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
           != SV33 ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(290,plain,
    ! [SV14: $i] :
      ( ( ! [SY142: $i,SY143: $i] :
            ( ! [SY144: $i,SY145: $i] :
                ( ~ ( aElementOf0 @ SY144 @ xI )
                | ~ ( aElementOf0 @ SY145 @ xJ )
                | ( ( sdtpldt0 @ SY144 @ SY145 )
                 != SV14 ) )
            | ! [SX3: $i,SX4: $i] :
                ( ~ ( aElementOf0 @ SX3 @ xI )
                | ~ ( aElementOf0 @ SX4 @ xJ )
                | ( ( sdtpldt0 @ SX3 @ SX4 )
                 != SY142 ) )
            | ~ ( aElement0 @ SY143 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                                                            | ( SY142
                                                                             != ( sdtpldt0 @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SY142 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY143 @ SY142 @ SV14 ) @ ( sK35_SY117 @ SY143 @ SY142 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY143 @ SY142 @ SV14 ) @ ( sK36_SY125 @ SY143 @ SY142 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK33_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK34_SY124 @ SY143 @ SY142 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SY142 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY142 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK31_W7 @ SY143 @ SY142 @ SV14 ) @ ( sK32_SY123 @ SY143 @ SY142 @ SV14 ) )
                                   != ( sdtasdt0 @ SY143 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY143 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(291,plain,
    ! [SV14: $i] :
      ( ( ! [SY148: $i,SY149: $i] :
            ( ! [SY150: $i,SY151: $i] :
                ( ~ ( aElementOf0 @ SY150 @ xI )
                | ~ ( aElementOf0 @ SY151 @ xJ )
                | ( ( sdtpldt0 @ SY150 @ SY151 )
                 != SV14 ) )
            | ~ ( aElementOf0 @ SY148 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElement0 @ SY149 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                                                            | ( SY148
                                                                             != ( sdtpldt0 @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SY148 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY149 @ SY148 @ SV14 ) @ ( sK27_SY101 @ SY149 @ SY148 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY149 @ SY148 @ SV14 ) @ ( sK28_SY109 @ SY149 @ SY148 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK25_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK26_SY108 @ SY149 @ SY148 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SY148 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY148 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK23_W7 @ SY149 @ SY148 @ SV14 ) @ ( sK24_SY107 @ SY149 @ SY148 @ SV14 ) )
                                   != ( sdtasdt0 @ SY149 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY149 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(292,plain,
    ! [SV14: $i] :
      ( ( ! [SY152: $i,SY153: $i] :
            ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
            | ! [SX3: $i,SX4: $i] :
                ( ~ ( aElementOf0 @ SX3 @ xI )
                | ~ ( aElementOf0 @ SX4 @ xJ )
                | ( ( sdtpldt0 @ SX3 @ SX4 )
                 != SY152 ) )
            | ~ ( aElement0 @ SY153 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                                                            | ( SY152
                                                                             != ( sdtpldt0 @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SY152 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY153 @ SY152 @ SV14 ) @ ( sK19_SY85 @ SY153 @ SY152 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY153 @ SY152 @ SV14 ) @ ( sK20_SY93 @ SY153 @ SY152 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK17_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK18_SY92 @ SY153 @ SY152 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SY152 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY152 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK15_W7 @ SY153 @ SY152 @ SV14 ) @ ( sK16_SY91 @ SY153 @ SY152 @ SV14 ) )
                                   != ( sdtasdt0 @ SY153 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY153 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(293,plain,
    ! [SV14: $i] :
      ( ( ! [SY156: $i,SY157: $i] :
            ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElementOf0 @ SY156 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElement0 @ SY157 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                                                            | ( SY156
                                                                             != ( sdtpldt0 @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SY156 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY157 @ SY156 @ SV14 ) @ ( sK11_SY69 @ SY157 @ SY156 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY157 @ SY156 @ SV14 ) @ ( sK12_SY77 @ SY157 @ SY156 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK9_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK10_SY76 @ SY157 @ SY156 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SY156 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SY156 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK7_W7 @ SY157 @ SY156 @ SV14 ) @ ( sK8_SY75 @ SY157 @ SY156 @ SV14 ) )
                                   != ( sdtasdt0 @ SY157 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY157 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(294,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xJ )
            | ! [SX1: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xJ )
                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xJ )
            | ! [SX1: $i] :
                ( ~ ( aElement0 @ SX1 )
                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[276]) ).

thf(295,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( aElementOf0 @ SX0 @ xI )
                              | ! [SX1: $i] :
                                  ( ~ ( aElementOf0 @ SX1 @ xI )
                                  | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( aElementOf0 @ SX0 @ xI )
                              | ! [SX1: $i] :
                                  ( ~ ( aElement0 @ SX1 )
                                  | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                  | ~ ( aSet0 @ xI ) )
            | ~ ( aIdeal0 @ xI ) )
      | ~ ( aSet0 @ xJ ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(296,plain,
    ( ( ~ ( sK4_REN
          | ~ ( ~ ( aElement0 @ sK2_SY61 )
              | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      | ~ ( ~ sK4_REN
          | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[279]) ).

thf(297,plain,
    ! [SV23: $i,SV6: $i,SV18: $i] :
      ( ( ( aElement0 @ SV18 )
        = $false )
      | ( ( aElement0 @ SV6 )
        = $false )
      | ( ( ~ ( aElement0 @ SV23 ) )
        = $true )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[282]) ).

thf(298,plain,
    ! [SV24: $i,SV8: $i,SV20: $i] :
      ( ( ( aElement0 @ SV20 )
        = $false )
      | ( ( aElement0 @ SV8 )
        = $false )
      | ( ( ~ ( aElement0 @ SV24 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[283]) ).

thf(299,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( ( sdtasdt0 @ SV9 @ SV21 )
          = sz00 )
        = $false )
      | ( ( ( SV9 = sz00 )
          | ( SV21 = sz00 ) )
        = $true )
      | ( ( aElement0 @ SV9 )
        = $false )
      | ( ( aElement0 @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[284]) ).

thf(300,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
              | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) ) )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(301,plain,
    ! [SV40: $i,SV38: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 )
          | ~ ( aElement0 @ SV38 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV40 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(302,plain,
    ! [SV41: $i,SV39: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 )
          | ~ ( aElement0 @ SV39 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV41 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[287]) ).

thf(303,plain,
    ! [SV32: $i,SV43: $i,SV42: $i] :
      ( ( ( ~ ( aElementOf0 @ SV42 @ xI )
          | ~ ( aElementOf0 @ SV43 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV42 @ SV43 )
           != SV32 ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(304,plain,
    ! [SV33: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
                | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(305,plain,
    ! [SV33: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
           != SV33 ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(306,plain,
    ! [SV44: $i,SV14: $i] :
      ( ( ! [SY165: $i] :
            ( ! [SY144: $i,SY145: $i] :
                ( ~ ( aElementOf0 @ SY144 @ xI )
                | ~ ( aElementOf0 @ SY145 @ xJ )
                | ( ( sdtpldt0 @ SY144 @ SY145 )
                 != SV14 ) )
            | ! [SY168: $i,SY169: $i] :
                ( ~ ( aElementOf0 @ SY168 @ xI )
                | ~ ( aElementOf0 @ SY169 @ xJ )
                | ( ( sdtpldt0 @ SY168 @ SY169 )
                 != SV44 ) )
            | ~ ( aElement0 @ SY165 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SY165 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK30_SY110 @ SY165 @ SV44 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK29_W3 @ SY165 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SY165 @ SV44 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SY165 @ SV44 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK36_SY125 @ SY165 @ SV44 @ SV14 ) @ xJ ) )
                                                                            | ( SV44
                                                                             != ( sdtpldt0 @ ( sK35_SY117 @ SY165 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SY165 @ SV44 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SY165 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SY165 @ SV44 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SY165 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SY165 @ SV44 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY165 @ ( sK29_W3 @ SY165 @ SV44 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY165 @ ( sK30_SY110 @ SY165 @ SV44 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SV44 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SY165 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SY165 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SY165 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SY165 @ SV44 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SY165 @ SV44 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK34_SY124 @ SY165 @ SV44 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK33_W7 @ SY165 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SY165 @ SV44 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SY165 @ SV44 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK32_SY123 @ SY165 @ SV44 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK31_W7 @ SY165 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SY165 @ SV44 @ SV14 ) )
                                   != ( sdtasdt0 @ SY165 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY165 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(307,plain,
    ! [SV45: $i,SV14: $i] :
      ( ( ! [SY170: $i] :
            ( ! [SY150: $i,SY151: $i] :
                ( ~ ( aElementOf0 @ SY150 @ xI )
                | ~ ( aElementOf0 @ SY151 @ xJ )
                | ( ( sdtpldt0 @ SY150 @ SY151 )
                 != SV14 ) )
            | ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElement0 @ SY170 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SY170 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK22_SY94 @ SY170 @ SV45 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK21_W3 @ SY170 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SY170 @ SV45 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SY170 @ SV45 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK28_SY109 @ SY170 @ SV45 @ SV14 ) @ xJ ) )
                                                                            | ( SV45
                                                                             != ( sdtpldt0 @ ( sK27_SY101 @ SY170 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SY170 @ SV45 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SY170 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SY170 @ SV45 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SY170 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SY170 @ SV45 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY170 @ ( sK21_W3 @ SY170 @ SV45 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY170 @ ( sK22_SY94 @ SY170 @ SV45 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SV45 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SY170 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SY170 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SY170 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SY170 @ SV45 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SY170 @ SV45 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK26_SY108 @ SY170 @ SV45 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK25_W7 @ SY170 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SY170 @ SV45 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SY170 @ SV45 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK24_SY107 @ SY170 @ SV45 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK23_W7 @ SY170 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SY170 @ SV45 @ SV14 ) )
                                   != ( sdtasdt0 @ SY170 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY170 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(308,plain,
    ! [SV46: $i,SV14: $i] :
      ( ( ! [SY173: $i] :
            ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
            | ! [SY174: $i,SY175: $i] :
                ( ~ ( aElementOf0 @ SY174 @ xI )
                | ~ ( aElementOf0 @ SY175 @ xJ )
                | ( ( sdtpldt0 @ SY174 @ SY175 )
                 != SV46 ) )
            | ~ ( aElement0 @ SY173 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SY173 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK14_SY78 @ SY173 @ SV46 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK13_W3 @ SY173 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SY173 @ SV46 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SY173 @ SV46 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK20_SY93 @ SY173 @ SV46 @ SV14 ) @ xJ ) )
                                                                            | ( SV46
                                                                             != ( sdtpldt0 @ ( sK19_SY85 @ SY173 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SY173 @ SV46 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SY173 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SY173 @ SV46 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SY173 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SY173 @ SV46 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY173 @ ( sK13_W3 @ SY173 @ SV46 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY173 @ ( sK14_SY78 @ SY173 @ SV46 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SV46 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SY173 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SY173 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SY173 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SY173 @ SV46 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SY173 @ SV46 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK18_SY92 @ SY173 @ SV46 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK17_W7 @ SY173 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SY173 @ SV46 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SY173 @ SV46 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK16_SY91 @ SY173 @ SV46 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK15_W7 @ SY173 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SY173 @ SV46 @ SV14 ) )
                                   != ( sdtasdt0 @ SY173 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY173 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(309,plain,
    ! [SV47: $i,SV14: $i] :
      ( ( ! [SY176: $i] :
            ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ( aElement0 @ SY176 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SY176 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK6_SY62 @ SY176 @ SV47 @ SV14 ) @ xJ ) )
                      | ( SV14
                       != ( sdtpldt0 @ ( sK5_W3 @ SY176 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SY176 @ SV47 @ SV14 ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SY176 @ SV47 @ SV14 ) @ xI )
                                                                                  | ~ ( aElementOf0 @ ( sK12_SY77 @ SY176 @ SV47 @ SV14 ) @ xJ ) )
                                                                            | ( SV47
                                                                             != ( sdtpldt0 @ ( sK11_SY69 @ SY176 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SY176 @ SV47 @ SV14 ) ) ) )
                                                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SY176 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SY176 @ SV47 @ SV14 ) ) @ xI ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SY176 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SY176 @ SV47 @ SV14 ) ) @ xJ ) )
                                                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SY176 @ ( sK5_W3 @ SY176 @ SV47 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SY176 @ ( sK6_SY62 @ SY176 @ SV47 @ SV14 ) ) @ xJ ) )
                                              | ( ( sdtpldt0 @ SV14 @ SV47 )
                                               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SY176 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SY176 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SY176 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SY176 @ SV47 @ SV14 ) ) ) ) )
                                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SY176 @ SV47 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK10_SY76 @ SY176 @ SV47 @ SV14 ) @ xJ ) )
                                              | ( ( sdtpldt0 @ ( sK9_W7 @ SY176 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SY176 @ SV47 @ SV14 ) )
                                               != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SY176 @ SV47 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK8_SY75 @ SY176 @ SV47 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK7_W7 @ SY176 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SY176 @ SV47 @ SV14 ) )
                                   != ( sdtasdt0 @ SY176 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SY176 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(310,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xJ )
            | ! [SX1: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xJ )
                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[294]) ).

thf(311,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xJ )
            | ! [SX1: $i] :
                ( ~ ( aElement0 @ SX1 )
                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[294]) ).

thf(312,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                              ( ~ ( aElementOf0 @ SX0 @ xI )
                              | ! [SX1: $i] :
                                  ( ~ ( aElementOf0 @ SX1 @ xI )
                                  | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                        | ~ ! [SX0: $i] :
                              ( ~ ( aElementOf0 @ SX0 @ xI )
                              | ! [SX1: $i] :
                                  ( ~ ( aElement0 @ SX1 )
                                  | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                  | ~ ( aSet0 @ xI ) )
            | ~ ( aIdeal0 @ xI ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(313,plain,
    ( ( ~ ( aSet0 @ xJ ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(314,plain,
    ( ( ~ ( sK4_REN
          | ~ ( ~ ( aElement0 @ sK2_SY61 )
              | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(315,plain,
    ( ( ~ ( ~ sK4_REN
          | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
              | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(316,plain,
    ! [SV18: $i,SV6: $i,SV23: $i] :
      ( ( ( aElement0 @ SV23 )
        = $false )
      | ( ( aElement0 @ SV6 )
        = $false )
      | ( ( aElement0 @ SV18 )
        = $false )
      | ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV6 @ SV18 ) @ SV23 )
          = ( sdtpldt0 @ SV6 @ ( sdtpldt0 @ SV18 @ SV23 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[297]) ).

thf(317,plain,
    ! [SV20: $i,SV8: $i,SV24: $i] :
      ( ( ( aElement0 @ SV24 )
        = $false )
      | ( ( aElement0 @ SV8 )
        = $false )
      | ( ( aElement0 @ SV20 )
        = $false )
      | ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV8 @ SV20 ) @ SV24 )
          = ( sdtasdt0 @ SV8 @ ( sdtasdt0 @ SV20 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[298]) ).

thf(318,plain,
    ! [SV21: $i,SV9: $i] :
      ( ( ( SV9 = sz00 )
        = $true )
      | ( ( SV21 = sz00 )
        = $true )
      | ( ( ( sdtasdt0 @ SV9 @ SV21 )
          = sz00 )
        = $false )
      | ( ( aElement0 @ SV9 )
        = $false )
      | ( ( aElement0 @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[299]) ).

thf(319,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
          | ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
        = $false )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(320,plain,
    ! [SV40: $i,SV38: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV38 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV40 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[301]) ).

thf(321,plain,
    ! [SV41: $i,SV39: $i,SV13: $i] :
      ( ( ( ~ ( aElement0 @ SV13 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV39 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV41 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(322,plain,
    ! [SV32: $i,SV43: $i,SV42: $i] :
      ( ( ( ~ ( aElementOf0 @ SV42 @ xI ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV43 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV42 @ SV43 )
           != SV32 ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(323,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
              | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[304]) ).

thf(324,plain,
    ! [SV33: $i] :
      ( ( ( ( sdtpldt0 @ ( sK37_W1 @ SV33 ) @ ( sK38_SY126 @ SV33 ) )
          = SV33 )
        = $true )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[305]) ).

thf(325,plain,
    ! [SV48: $i,SV44: $i,SV14: $i] :
      ( ( ! [SY144: $i,SY145: $i] :
            ( ~ ( aElementOf0 @ SY144 @ xI )
            | ~ ( aElementOf0 @ SY145 @ xJ )
            | ( ( sdtpldt0 @ SY144 @ SY145 )
             != SV14 ) )
        | ! [SY168: $i,SY169: $i] :
            ( ~ ( aElementOf0 @ SY168 @ xI )
            | ~ ( aElementOf0 @ SY169 @ xJ )
            | ( ( sdtpldt0 @ SY168 @ SY169 )
             != SV44 ) )
        | ~ ( aElement0 @ SV48 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                        | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                  | ( SV14
                   != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                        | ( SV44
                                                                         != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                          | ( ( sdtpldt0 @ SV14 @ SV44 )
                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                           != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                              | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                               != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(326,plain,
    ! [SV49: $i,SV45: $i,SV14: $i] :
      ( ( ! [SY150: $i,SY151: $i] :
            ( ~ ( aElementOf0 @ SY150 @ xI )
            | ~ ( aElementOf0 @ SY151 @ xJ )
            | ( ( sdtpldt0 @ SY150 @ SY151 )
             != SV14 ) )
        | ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElement0 @ SV49 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                        | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                  | ( SV14
                   != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                        | ( SV45
                                                                         != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                          | ( ( sdtpldt0 @ SV14 @ SV45 )
                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                           != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                              | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                               != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(327,plain,
    ! [SV50: $i,SV46: $i,SV14: $i] :
      ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        | ! [SY174: $i,SY175: $i] :
            ( ~ ( aElementOf0 @ SY174 @ xI )
            | ~ ( aElementOf0 @ SY175 @ xJ )
            | ( ( sdtpldt0 @ SY174 @ SY175 )
             != SV46 ) )
        | ~ ( aElement0 @ SV50 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                        | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                  | ( SV14
                   != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                        | ( SV46
                                                                         != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                          | ( ( sdtpldt0 @ SV14 @ SV46 )
                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                           != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                              | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                               != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(328,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ( aElement0 @ SV51 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                        | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                  | ( SV14
                   != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                        | ( SV47
                                                                         != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                          | ( ( sdtpldt0 @ SV14 @ SV47 )
                                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                          | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                           != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                        | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                    | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                              | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                               != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(329,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElementOf0 @ SX0 @ xJ )
          | ! [SX1: $i] :
              ( ~ ( aElementOf0 @ SX1 @ xJ )
              | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(330,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElementOf0 @ SX0 @ xJ )
          | ! [SX1: $i] :
              ( ~ ( aElement0 @ SX1 )
              | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(331,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                            ( ~ ( aElementOf0 @ SX0 @ xI )
                            | ! [SX1: $i] :
                                ( ~ ( aElementOf0 @ SX1 @ xI )
                                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                      | ~ ! [SX0: $i] :
                            ( ~ ( aElementOf0 @ SX0 @ xI )
                            | ! [SX1: $i] :
                                ( ~ ( aElement0 @ SX1 )
                                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
                | ~ ( aSet0 @ xI ) )
          | ~ ( aIdeal0 @ xI ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(332,plain,
    ( ( aSet0 @ xJ )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[313]) ).

thf(333,plain,
    ( ( sK4_REN
      | ~ ( ~ ( aElement0 @ sK2_SY61 )
          | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(334,plain,
    ( ( ~ sK4_REN
      | ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[315]) ).

thf(335,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $false )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(336,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
        = $false )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(337,plain,
    ! [SV40: $i,SV38: $i,SV13: $i] :
      ( ( ( aElement0 @ SV13 )
        = $false )
      | ( ( ~ ( aElement0 @ SV38 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV40 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[320]) ).

thf(338,plain,
    ! [SV41: $i,SV39: $i,SV13: $i] :
      ( ( ( aElement0 @ SV13 )
        = $false )
      | ( ( ~ ( aElement0 @ SV39 ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV41 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(339,plain,
    ! [SV32: $i,SV43: $i,SV42: $i] :
      ( ( ( aElementOf0 @ SV42 @ xI )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV43 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV42 @ SV43 )
           != SV32 ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(340,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
          | ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(341,plain,
    ! [SV48: $i,SV44: $i,SV14: $i] :
      ( ( ( ! [SY144: $i,SY145: $i] :
              ( ~ ( aElementOf0 @ SY144 @ xI )
              | ~ ( aElementOf0 @ SY145 @ xJ )
              | ( ( sdtpldt0 @ SY144 @ SY145 )
               != SV14 ) )
          | ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) )
          | ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[325]) ).

thf(342,plain,
    ! [SV49: $i,SV45: $i,SV14: $i] :
      ( ( ( ! [SY150: $i,SY151: $i] :
              ( ~ ( aElementOf0 @ SY150 @ xI )
              | ~ ( aElementOf0 @ SY151 @ xJ )
              | ( ( sdtpldt0 @ SY150 @ SY151 )
               != SV14 ) )
          | ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[326]) ).

thf(343,plain,
    ! [SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
          | ! [SY174: $i,SY175: $i] :
              ( ~ ( aElementOf0 @ SY174 @ xI )
              | ~ ( aElementOf0 @ SY175 @ xJ )
              | ( ( sdtpldt0 @ SY174 @ SY175 )
               != SV46 ) )
          | ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[327]) ).

thf(344,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElement0 @ SV51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(345,plain,
    ! [SV52: $i] :
      ( ( ~ ( aElementOf0 @ SV52 @ xJ )
        | ! [SY185: $i] :
            ( ~ ( aElementOf0 @ SY185 @ xJ )
            | ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SY185 ) @ xJ ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(346,plain,
    ! [SV53: $i] :
      ( ( ~ ( aElementOf0 @ SV53 @ xJ )
        | ! [SY186: $i] :
            ( ~ ( aElement0 @ SY186 )
            | ( aElementOf0 @ ( sdtasdt0 @ SY186 @ SV53 ) @ xJ ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(347,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xI )
                        | ! [SX1: $i] :
                            ( ~ ( aElementOf0 @ SX1 @ xI )
                            | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xI )
                        | ! [SX1: $i] :
                            ( ~ ( aElement0 @ SX1 )
                            | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
            | ~ ( aSet0 @ xI ) )
      | ~ ( aIdeal0 @ xI ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(348,plain,
    ( ( sK4_REN = $true )
    | ( ( ~ ( ~ ( aElement0 @ sK2_SY61 )
            | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(349,plain,
    ( ( ( ~ sK4_REN )
      = $true )
    | ( ( ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(350,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[335]) ).

thf(351,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 ) )
        = $true )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[336]) ).

thf(352,plain,
    ! [SV40: $i,SV13: $i,SV38: $i] :
      ( ( ( aElement0 @ SV38 )
        = $false )
      | ( ( aElement0 @ SV13 )
        = $false )
      | ( ( ~ ( aElement0 @ SV40 ) )
        = $true )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(353,plain,
    ! [SV41: $i,SV13: $i,SV39: $i] :
      ( ( ( aElement0 @ SV39 )
        = $false )
      | ( ( aElement0 @ SV13 )
        = $false )
      | ( ( ~ ( aElement0 @ SV41 ) )
        = $true )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[338]) ).

thf(354,plain,
    ! [SV32: $i,SV42: $i,SV43: $i] :
      ( ( ( aElementOf0 @ SV43 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV42 @ xI )
        = $false )
      | ( ( ( ( sdtpldt0 @ SV42 @ SV43 )
           != SV32 ) )
        = $true )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(355,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[340]) ).

thf(356,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[340]) ).

thf(357,plain,
    ! [SV48: $i,SV44: $i,SV14: $i] :
      ( ( ( ! [SY144: $i,SY145: $i] :
              ( ~ ( aElementOf0 @ SY144 @ xI )
              | ~ ( aElementOf0 @ SY145 @ xJ )
              | ( ( sdtpldt0 @ SY144 @ SY145 )
               != SV14 ) )
          | ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[341]) ).

thf(358,plain,
    ! [SV49: $i,SV45: $i,SV14: $i] :
      ( ( ( ! [SY150: $i,SY151: $i] :
              ( ~ ( aElementOf0 @ SY150 @ xI )
              | ~ ( aElementOf0 @ SY151 @ xJ )
              | ( ( sdtpldt0 @ SY150 @ SY151 )
               != SV14 ) )
          | ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(359,plain,
    ! [SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
          | ! [SY174: $i,SY175: $i] :
              ( ~ ( aElementOf0 @ SY174 @ xI )
              | ~ ( aElementOf0 @ SY175 @ xJ )
              | ( ( sdtpldt0 @ SY174 @ SY175 )
               != SV46 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[343]) ).

thf(360,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
          | ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(361,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( aElementOf0 @ SV52 @ xJ ) )
        = $true )
      | ( ( ! [SY185: $i] :
              ( ~ ( aElementOf0 @ SY185 @ xJ )
              | ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SY185 ) @ xJ ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(362,plain,
    ! [SV53: $i] :
      ( ( ( ~ ( aElementOf0 @ SV53 @ xJ ) )
        = $true )
      | ( ( ! [SY186: $i] :
              ( ~ ( aElement0 @ SY186 )
              | ( aElementOf0 @ ( sdtasdt0 @ SY186 @ SV53 ) @ xJ ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(363,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xI )
                        | ! [SX1: $i] :
                            ( ~ ( aElementOf0 @ SX1 @ xI )
                            | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                  | ~ ! [SX0: $i] :
                        ( ~ ( aElementOf0 @ SX0 @ xI )
                        | ! [SX1: $i] :
                            ( ~ ( aElement0 @ SX1 )
                            | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
            | ~ ( aSet0 @ xI ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(364,plain,
    ( ( ~ ( aIdeal0 @ xI ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(365,plain,
    ( ( ( ~ ( aElement0 @ sK2_SY61 )
        | ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $false )
    | ( sK4_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(366,plain,
    ( ( sK4_REN = $false )
    | ( ( ~ ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
            | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(367,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
          | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(368,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( ~ ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
              | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) ) )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(369,plain,
    ! [SV38: $i,SV13: $i,SV40: $i] :
      ( ( ( aElement0 @ SV40 )
        = $false )
      | ( ( aElement0 @ SV13 )
        = $false )
      | ( ( aElement0 @ SV38 )
        = $false )
      | ( ( ( sdtasdt0 @ SV13 @ ( sdtpldt0 @ SV38 @ SV40 ) )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV13 @ SV38 ) @ ( sdtasdt0 @ SV13 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(370,plain,
    ! [SV39: $i,SV13: $i,SV41: $i] :
      ( ( ( aElement0 @ SV41 )
        = $false )
      | ( ( aElement0 @ SV13 )
        = $false )
      | ( ( aElement0 @ SV39 )
        = $false )
      | ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV39 @ SV41 ) @ SV13 )
          = ( sdtpldt0 @ ( sdtasdt0 @ SV39 @ SV13 ) @ ( sdtasdt0 @ SV41 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(371,plain,
    ! [SV32: $i,SV43: $i,SV42: $i] :
      ( ( ( ( sdtpldt0 @ SV42 @ SV43 )
          = SV32 )
        = $false )
      | ( ( aElementOf0 @ SV42 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV43 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV32 @ ( sdtpldt1 @ xI @ xJ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(372,plain,
    ! [SV33: $i] :
      ( ( ( aElementOf0 @ ( sK37_W1 @ SV33 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(373,plain,
    ! [SV33: $i] :
      ( ( ( aElementOf0 @ ( sK38_SY126 @ SV33 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV33 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(374,plain,
    ! [SV48: $i,SV44: $i,SV14: $i] :
      ( ( ( ! [SY144: $i,SY145: $i] :
              ( ~ ( aElementOf0 @ SY144 @ xI )
              | ~ ( aElementOf0 @ SY145 @ xJ )
              | ( ( sdtpldt0 @ SY144 @ SY145 )
               != SV14 ) ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[357]) ).

thf(375,plain,
    ! [SV49: $i,SV45: $i,SV14: $i] :
      ( ( ( ! [SY150: $i,SY151: $i] :
              ( ~ ( aElementOf0 @ SY150 @ xI )
              | ~ ( aElementOf0 @ SY151 @ xJ )
              | ( ( sdtpldt0 @ SY150 @ SY151 )
               != SV14 ) ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[358]) ).

thf(376,plain,
    ! [SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ! [SY174: $i,SY175: $i] :
              ( ~ ( aElementOf0 @ SY174 @ xI )
              | ~ ( aElementOf0 @ SY175 @ xJ )
              | ( ( sdtpldt0 @ SY174 @ SY175 )
               != SV46 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[359]) ).

thf(377,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[360]) ).

thf(378,plain,
    ! [SV52: $i] :
      ( ( ( aElementOf0 @ SV52 @ xJ )
        = $false )
      | ( ( ! [SY185: $i] :
              ( ~ ( aElementOf0 @ SY185 @ xJ )
              | ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SY185 ) @ xJ ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(379,plain,
    ! [SV53: $i] :
      ( ( ( aElementOf0 @ SV53 @ xJ )
        = $false )
      | ( ( ! [SY186: $i] :
              ( ~ ( aElement0 @ SY186 )
              | ( aElementOf0 @ ( sdtasdt0 @ SY186 @ SV53 ) @ xJ ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(380,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
                      ( ~ ( aElementOf0 @ SX0 @ xI )
                      | ! [SX1: $i] :
                          ( ~ ( aElementOf0 @ SX1 @ xI )
                          | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
                | ~ ! [SX0: $i] :
                      ( ~ ( aElementOf0 @ SX0 @ xI )
                      | ! [SX1: $i] :
                          ( ~ ( aElement0 @ SX1 )
                          | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
          | ~ ( aSet0 @ xI ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(381,plain,
    ( ( aIdeal0 @ xI )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(382,plain,
    ( ( ( ~ ( aElement0 @ sK2_SY61 ) )
      = $false )
    | ( sK4_REN = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[365]) ).

thf(383,plain,
    ( ( ( ~ ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $false )
    | ( sK4_REN = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[365]) ).

thf(384,plain,
    ( ( ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
        | ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(385,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[367]) ).

thf(386,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[367]) ).

thf(387,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
          | ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(388,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV54: $i] :
      ( ( ( ! [SY187: $i] :
              ( ~ ( aElementOf0 @ SV54 @ xI )
              | ~ ( aElementOf0 @ SY187 @ xJ )
              | ( ( sdtpldt0 @ SV54 @ SY187 )
               != SV14 ) ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(389,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV55: $i] :
      ( ( ( ! [SY188: $i] :
              ( ~ ( aElementOf0 @ SV55 @ xI )
              | ~ ( aElementOf0 @ SY188 @ xJ )
              | ( ( sdtpldt0 @ SV55 @ SY188 )
               != SV14 ) ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(390,plain,
    ! [SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ! [SY174: $i,SY175: $i] :
              ( ~ ( aElementOf0 @ SY174 @ xI )
              | ~ ( aElementOf0 @ SY175 @ xJ )
              | ( ( sdtpldt0 @ SY174 @ SY175 )
               != SV46 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(391,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(392,plain,
    ! [SV52: $i,SV56: $i] :
      ( ( ( ~ ( aElementOf0 @ SV56 @ xJ )
          | ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SV56 ) @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV52 @ xJ )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(393,plain,
    ! [SV53: $i,SV57: $i] :
      ( ( ( ~ ( aElement0 @ SV57 )
          | ( aElementOf0 @ ( sdtasdt0 @ SV57 @ SV53 ) @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV53 @ xJ )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(394,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xI )
                  | ! [SX1: $i] :
                      ( ~ ( aElementOf0 @ SX1 @ xI )
                      | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xI )
                  | ! [SX1: $i] :
                      ( ~ ( aElement0 @ SX1 )
                      | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
      | ~ ( aSet0 @ xI ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(395,plain,
    ( ( ( aElement0 @ sK2_SY61 )
      = $true )
    | ( sK4_REN = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(396,plain,
    ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $true )
    | ( sK4_REN = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[383]) ).

thf(397,plain,
    ( ( ( ~ ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[384]) ).

thf(398,plain,
    ( ( ( ~ ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[384]) ).

thf(399,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
        = $true )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(400,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $true )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[386]) ).

thf(401,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(402,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(403,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV58: $i,SV54: $i] :
      ( ( ( ~ ( aElementOf0 @ SV54 @ xI )
          | ~ ( aElementOf0 @ SV58 @ xJ )
          | ( ( sdtpldt0 @ SV54 @ SV58 )
           != SV14 ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(404,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV59: $i,SV55: $i] :
      ( ( ( ~ ( aElementOf0 @ SV55 @ xI )
          | ~ ( aElementOf0 @ SV59 @ xJ )
          | ( ( sdtpldt0 @ SV55 @ SV59 )
           != SV14 ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(405,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV60: $i] :
      ( ( ( ! [SY189: $i] :
              ( ~ ( aElementOf0 @ SV60 @ xI )
              | ~ ( aElementOf0 @ SY189 @ xJ )
              | ( ( sdtpldt0 @ SV60 @ SY189 )
               != SV46 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(406,plain,
    ! [SV51: $i,SV14: $i,SV47: $i] :
      ( ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(407,plain,
    ! [SV52: $i,SV56: $i] :
      ( ( ( ~ ( aElementOf0 @ SV56 @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SV56 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV52 @ xJ )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[392]) ).

thf(408,plain,
    ! [SV53: $i,SV57: $i] :
      ( ( ( ~ ( aElement0 @ SV57 ) )
        = $true )
      | ( ( aElementOf0 @ ( sdtasdt0 @ SV57 @ SV53 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV53 @ xJ )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(409,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xI )
                  | ! [SX1: $i] :
                      ( ~ ( aElementOf0 @ SX1 @ xI )
                      | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
            | ~ ! [SX0: $i] :
                  ( ~ ( aElementOf0 @ SX0 @ xI )
                  | ! [SX1: $i] :
                      ( ~ ( aElement0 @ SX1 )
                      | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[394]) ).

thf(410,plain,
    ( ( ~ ( aSet0 @ xI ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[394]) ).

thf(411,plain,
    ( ( ( aElementOf0 @ ( sdtasdt0 @ sK2_SY61 @ sK1_W0 ) @ ( sdtpldt1 @ xI @ xJ ) )
      = $false )
    | ( sK4_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(412,plain,
    ( ( ( aElementOf0 @ sK3_SY60 @ ( sdtpldt1 @ xI @ xJ ) )
      = $true )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(413,plain,
    ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
      = $true )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[398]) ).

thf(414,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV12 )
        = $true )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(415,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV22 )
        = $true )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(416,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 ) )
        = $true )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[402]) ).

thf(417,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV58: $i,SV54: $i] :
      ( ( ( ~ ( aElementOf0 @ SV54 @ xI )
          | ~ ( aElementOf0 @ SV58 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV54 @ SV58 )
           != SV14 ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[403]) ).

thf(418,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV59: $i,SV55: $i] :
      ( ( ( ~ ( aElementOf0 @ SV55 @ xI )
          | ~ ( aElementOf0 @ SV59 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV55 @ SV59 )
           != SV14 ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(419,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV61: $i,SV60: $i] :
      ( ( ( ~ ( aElementOf0 @ SV60 @ xI )
          | ~ ( aElementOf0 @ SV61 @ xJ )
          | ( ( sdtpldt0 @ SV60 @ SV61 )
           != SV46 ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(420,plain,
    ! [SV47: $i,SV14: $i,SV51: $i] :
      ( ( ( aElement0 @ SV51 )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                          | ( SV47
                                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(421,plain,
    ! [SV52: $i,SV56: $i] :
      ( ( ( aElementOf0 @ SV56 @ xJ )
        = $false )
      | ( ( aElementOf0 @ ( sdtpldt0 @ SV52 @ SV56 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV52 @ xJ )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(422,plain,
    ! [SV53: $i,SV57: $i] :
      ( ( ( aElement0 @ SV57 )
        = $false )
      | ( ( aElementOf0 @ ( sdtasdt0 @ SV57 @ SV53 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV53 @ xJ )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(423,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( aElementOf0 @ SX0 @ xI )
                | ! [SX1: $i] :
                    ( ~ ( aElementOf0 @ SX1 @ xI )
                    | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( aElementOf0 @ SX0 @ xI )
                | ! [SX1: $i] :
                    ( ~ ( aElement0 @ SX1 )
                    | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[409]) ).

thf(424,plain,
    ( ( aSet0 @ xI )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[410]) ).

thf(425,plain,
    ( ( ( aElementOf0 @ ( sdtpldt0 @ sK1_W0 @ sK3_SY60 ) @ ( sdtpldt1 @ xI @ xJ ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(426,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( aElementOf0 @ ( sK39_W2 @ SV22 @ SV12 ) @ SV12 )
        = $false )
      | ( ( aElementOf0 @ ( sK40_W2 @ SV22 @ SV12 ) @ SV22 )
        = $false )
      | ( ( SV12 = SV22 )
        = $true )
      | ( ( aSet0 @ SV12 )
        = $false )
      | ( ( aSet0 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(427,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV58: $i,SV54: $i] :
      ( ( ( ~ ( aElementOf0 @ SV54 @ xI ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV58 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV54 @ SV58 )
           != SV14 ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(428,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV59: $i,SV55: $i] :
      ( ( ( ~ ( aElementOf0 @ SV55 @ xI ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV59 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV55 @ SV59 )
           != SV14 ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(429,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV61: $i,SV60: $i] :
      ( ( ( ~ ( aElementOf0 @ SV60 @ xI )
          | ~ ( aElementOf0 @ SV61 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV60 @ SV61 )
           != SV46 ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(430,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                      | ( SV47
                                                                       != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV47 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                             != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(431,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xI )
            | ! [SX1: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xI )
                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xI )
            | ! [SX1: $i] :
                ( ~ ( aElement0 @ SX1 )
                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(432,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV58: $i,SV54: $i] :
      ( ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV58 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV54 @ SV58 )
           != SV14 ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(433,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV59: $i,SV55: $i] :
      ( ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV59 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV55 @ SV59 )
           != SV14 ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(434,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV61: $i,SV60: $i] :
      ( ( ( ~ ( aElementOf0 @ SV60 @ xI ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV61 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV60 @ SV61 )
           != SV46 ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[429]) ).

thf(435,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(436,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                      | ( SV47
                                                                       != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV47 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                             != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(437,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xI )
            | ! [SX1: $i] :
                ( ~ ( aElementOf0 @ SX1 @ xI )
                | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[431]) ).

thf(438,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( aElementOf0 @ SX0 @ xI )
            | ! [SX1: $i] :
                ( ~ ( aElement0 @ SX1 )
                | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[431]) ).

thf(439,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV54: $i,SV58: $i] :
      ( ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( ( sdtpldt0 @ SV54 @ SV58 )
           != SV14 ) )
        = $true )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(440,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV55: $i,SV59: $i] :
      ( ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( ( sdtpldt0 @ SV55 @ SV59 )
           != SV14 ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(441,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV61: $i,SV60: $i] :
      ( ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV61 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV60 @ SV61 )
           != SV46 ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(442,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
              | ( SV14
               != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[435]) ).

thf(443,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                    | ( SV47
                                                                     != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                      | ( ( sdtpldt0 @ SV14 @ SV47 )
                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                      | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                       != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                           != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[436]) ).

thf(444,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElementOf0 @ SX0 @ xI )
          | ! [SX1: $i] :
              ( ~ ( aElementOf0 @ SX1 @ xI )
              | ( aElementOf0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ xI ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(445,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( aElementOf0 @ SX0 @ xI )
          | ! [SX1: $i] :
              ( ~ ( aElement0 @ SX1 )
              | ( aElementOf0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ xI ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[438]) ).

thf(446,plain,
    ! [SV48: $i,SV44: $i,SV14: $i,SV58: $i,SV54: $i] :
      ( ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( ! [SY168: $i,SY169: $i] :
              ( ~ ( aElementOf0 @ SY168 @ xI )
              | ~ ( aElementOf0 @ SY169 @ xJ )
              | ( ( sdtpldt0 @ SY168 @ SY169 )
               != SV44 ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(447,plain,
    ! [SV49: $i,SV45: $i,SV14: $i,SV59: $i,SV55: $i] :
      ( ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $true )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(448,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV60: $i,SV61: $i] :
      ( ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( ( ( sdtpldt0 @ SV60 @ SV61 )
           != SV46 ) )
        = $true )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(449,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
          | ( SV14
           != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(450,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                | ( SV47
                                                                 != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV47 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                       != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(451,plain,
    ! [SV62: $i] :
      ( ( ~ ( aElementOf0 @ SV62 @ xI )
        | ! [SY190: $i] :
            ( ~ ( aElementOf0 @ SY190 @ xI )
            | ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SY190 ) @ xI ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(452,plain,
    ! [SV63: $i] :
      ( ( ~ ( aElementOf0 @ SV63 @ xI )
        | ! [SY191: $i] :
            ( ~ ( aElement0 @ SY191 )
            | ( aElementOf0 @ ( sdtasdt0 @ SY191 @ SV63 ) @ xI ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(453,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV64: $i] :
      ( ( ( ! [SY192: $i] :
              ( ~ ( aElementOf0 @ SV64 @ xI )
              | ~ ( aElementOf0 @ SY192 @ xJ )
              | ( ( sdtpldt0 @ SV64 @ SY192 )
               != SV44 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(454,plain,
    ! [SV49: $i,SV14: $i,SV55: $i,SV59: $i,SV45: $i] :
      ( ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV49 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(455,plain,
    ! [SV50: $i,SV14: $i,SV46: $i,SV61: $i,SV60: $i] :
      ( ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( aElement0 @ SV50 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(456,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(457,plain,
    ! [SV47: $i,SV51: $i,SV14: $i] :
      ( ( ( ( SV14
           != ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(458,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                                | ( SV47
                                                                 != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV47 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                       != ( sdtasdt0 @ SV51 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[450]) ).

thf(459,plain,
    ! [SV47: $i,SV14: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[450]) ).

thf(460,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( aElementOf0 @ SV62 @ xI ) )
        = $true )
      | ( ( ! [SY190: $i] :
              ( ~ ( aElementOf0 @ SY190 @ xI )
              | ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SY190 ) @ xI ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[451]) ).

thf(461,plain,
    ! [SV63: $i] :
      ( ( ( ~ ( aElementOf0 @ SV63 @ xI ) )
        = $true )
      | ( ( ! [SY191: $i] :
              ( ~ ( aElement0 @ SY191 )
              | ( aElementOf0 @ ( sdtasdt0 @ SY191 @ SV63 ) @ xI ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[452]) ).

thf(462,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i] :
      ( ( ( ~ ( aElementOf0 @ SV64 @ xI )
          | ~ ( aElementOf0 @ SV65 @ xJ )
          | ( ( sdtpldt0 @ SV64 @ SV65 )
           != SV44 ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(463,plain,
    ! [SV45: $i,SV14: $i,SV59: $i,SV55: $i,SV49: $i] :
      ( ( ( aElement0 @ SV49 )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                          | ( SV45
                                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(464,plain,
    ! [SV46: $i,SV60: $i,SV61: $i,SV14: $i,SV50: $i] :
      ( ( ( aElement0 @ SV50 )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                          | ( SV46
                                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(465,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(466,plain,
    ! [SV47: $i,SV51: $i,SV14: $i] :
      ( ( ( SV14
          = ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[457]) ).

thf(467,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                              | ( SV47
                                                               != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                | ( ( sdtpldt0 @ SV14 @ SV47 )
                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                                 != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                     != ( sdtasdt0 @ SV51 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[458]) ).

thf(468,plain,
    ! [SV47: $i,SV14: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV51 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(469,plain,
    ! [SV62: $i] :
      ( ( ( aElementOf0 @ SV62 @ xI )
        = $false )
      | ( ( ! [SY190: $i] :
              ( ~ ( aElementOf0 @ SY190 @ xI )
              | ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SY190 ) @ xI ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(470,plain,
    ! [SV63: $i] :
      ( ( ( aElementOf0 @ SV63 @ xI )
        = $false )
      | ( ( ! [SY191: $i] :
              ( ~ ( aElement0 @ SY191 )
              | ( aElementOf0 @ ( sdtasdt0 @ SY191 @ SV63 ) @ xI ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(471,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i] :
      ( ( ( ~ ( aElementOf0 @ SV64 @ xI )
          | ~ ( aElementOf0 @ SV65 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV64 @ SV65 )
           != SV44 ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[462]) ).

thf(472,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                      | ( SV45
                                                                       != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV45 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                             != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(473,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                      | ( SV46
                                                                       != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV46 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                             != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(474,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(475,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                          | ( SV47
                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(476,plain,
    ! [SV62: $i,SV66: $i] :
      ( ( ( ~ ( aElementOf0 @ SV66 @ xI )
          | ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SV66 ) @ xI ) )
        = $true )
      | ( ( aElementOf0 @ SV62 @ xI )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(477,plain,
    ! [SV63: $i,SV67: $i] :
      ( ( ( ~ ( aElement0 @ SV67 )
          | ( aElementOf0 @ ( sdtasdt0 @ SV67 @ SV63 ) @ xI ) )
        = $true )
      | ( ( aElementOf0 @ SV63 @ xI )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(478,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i] :
      ( ( ( ~ ( aElementOf0 @ SV64 @ xI ) )
        = $true )
      | ( ( ~ ( aElementOf0 @ SV65 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV64 @ SV65 )
           != SV44 ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[471]) ).

thf(479,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[472]) ).

thf(480,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                      | ( SV45
                                                                       != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV45 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                             != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[472]) ).

thf(481,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(482,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                      | ( SV46
                                                                       != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV46 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                             != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(483,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(484,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(485,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                          | ( SV47
                                                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV47 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(486,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
                 != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(487,plain,
    ! [SV62: $i,SV66: $i] :
      ( ( ( ~ ( aElementOf0 @ SV66 @ xI ) )
        = $true )
      | ( ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SV66 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV62 @ xI )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[476]) ).

thf(488,plain,
    ! [SV63: $i,SV67: $i] :
      ( ( ( ~ ( aElement0 @ SV67 ) )
        = $true )
      | ( ( aElementOf0 @ ( sdtasdt0 @ SV67 @ SV63 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV63 @ xI )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[477]) ).

thf(489,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i] :
      ( ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( ~ ( aElementOf0 @ SV65 @ xJ ) )
        = $true )
      | ( ( ( ( sdtpldt0 @ SV64 @ SV65 )
           != SV44 ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(490,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
              | ( SV14
               != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(491,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                    | ( SV45
                                                                     != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                      | ( ( sdtpldt0 @ SV14 @ SV45 )
                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                      | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                       != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                           != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(492,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
              | ( SV14
               != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(493,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                    | ( SV46
                                                                     != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                      | ( ( sdtpldt0 @ SV14 @ SV46 )
                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                      | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                       != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                           != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(494,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(495,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(496,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                        | ( SV47
                                                         != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                          | ( ( sdtpldt0 @ SV14 @ SV47 )
                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                           != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[485]) ).

thf(497,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
               != ( sdtasdt0 @ SV51 @ SV14 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[486]) ).

thf(498,plain,
    ! [SV62: $i,SV66: $i] :
      ( ( ( aElementOf0 @ SV66 @ xI )
        = $false )
      | ( ( aElementOf0 @ ( sdtpldt0 @ SV62 @ SV66 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV62 @ xI )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(499,plain,
    ! [SV63: $i,SV67: $i] :
      ( ( ( aElement0 @ SV67 )
        = $false )
      | ( ( aElementOf0 @ ( sdtasdt0 @ SV67 @ SV63 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV63 @ xI )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(500,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV64: $i,SV65: $i] :
      ( ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( ( ( sdtpldt0 @ SV64 @ SV65 )
           != SV44 ) )
        = $true )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(501,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
          | ( SV14
           != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[490]) ).

thf(502,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                | ( SV45
                                                                 != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV45 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                       != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(503,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
          | ( SV14
           != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(504,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                | ( SV46
                                                                 != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV46 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                       != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(505,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                    | ( SV47
                                                     != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV47 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(506,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
           != ( sdtasdt0 @ SV51 @ SV14 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(507,plain,
    ! [SV48: $i,SV14: $i,SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i] :
      ( ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( ~ ( aElement0 @ SV48 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(508,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(509,plain,
    ! [SV55: $i,SV59: $i,SV45: $i,SV49: $i,SV14: $i] :
      ( ( ( ( SV14
           != ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(510,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                                | ( SV45
                                                                 != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV45 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                       != ( sdtasdt0 @ SV49 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[502]) ).

thf(511,plain,
    ! [SV55: $i,SV59: $i,SV45: $i,SV14: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[502]) ).

thf(512,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(513,plain,
    ! [SV61: $i,SV60: $i,SV46: $i,SV50: $i,SV14: $i] :
      ( ( ( ( SV14
           != ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(514,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                                | ( SV46
                                                                 != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV46 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                       != ( sdtasdt0 @ SV50 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(515,plain,
    ! [SV46: $i,SV61: $i,SV60: $i,SV14: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(516,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                    | ( SV47
                                                     != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV47 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV47 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[505]) ).

thf(517,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[505]) ).

thf(518,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(519,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
           != ( sdtasdt0 @ SV51 @ SV14 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(520,plain,
    ! [SV44: $i,SV64: $i,SV65: $i,SV14: $i,SV58: $i,SV54: $i,SV48: $i] :
      ( ( ( aElement0 @ SV48 )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV14
                     != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                          | ( SV44
                                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(521,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(522,plain,
    ! [SV55: $i,SV59: $i,SV45: $i,SV49: $i,SV14: $i] :
      ( ( ( SV14
          = ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[509]) ).

thf(523,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                              | ( SV45
                                                               != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                | ( ( sdtpldt0 @ SV14 @ SV45 )
                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                                 != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                     != ( sdtasdt0 @ SV49 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[510]) ).

thf(524,plain,
    ! [SV55: $i,SV59: $i,SV45: $i,SV14: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV49 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[511]) ).

thf(525,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(526,plain,
    ! [SV61: $i,SV60: $i,SV46: $i,SV50: $i,SV14: $i] :
      ( ( ( SV14
          = ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(527,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                              | ( SV46
                                                               != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                | ( ( sdtpldt0 @ SV14 @ SV46 )
                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                                 != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                     != ( sdtasdt0 @ SV50 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[514]) ).

thf(528,plain,
    ! [SV46: $i,SV61: $i,SV60: $i,SV14: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV50 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[515]) ).

thf(529,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                        | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                                  | ( SV47
                                                   != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                    | ( ( sdtpldt0 @ SV14 @ SV47 )
                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                     != ( sdtpldt0 @ SV14 @ SV47 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[516]) ).

thf(530,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV47 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(531,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(532,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ( sdtpldt0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) )
          = ( sdtasdt0 @ SV51 @ SV14 ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(533,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                      | ( SV44
                                                                       != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV44 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                             != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(534,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(535,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                          | ( SV45
                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(536,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(537,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                          | ( SV46
                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(538,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                              | ( SV47
                                               != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV47 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(539,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(540,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( SV14
                 != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(541,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                            | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                      | ( SV44
                                                                       != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                        | ( ( sdtpldt0 @ SV14 @ SV44 )
                                         != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                  | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                        | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                         != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                             != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[533]) ).

thf(542,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[534]) ).

thf(543,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[534]) ).

thf(544,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                          | ( SV45
                                                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV45 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[535]) ).

thf(545,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
                 != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[535]) ).

thf(546,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(547,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(548,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                          | ( SV46
                                                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV46 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(549,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
                 != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(550,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                              | ( SV47
                                               != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV47 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(551,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(552,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[539]) ).

thf(553,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[539]) ).

thf(554,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
              | ( SV14
               != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(555,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                    | ( SV44
                                                                     != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                      | ( ( sdtpldt0 @ SV14 @ SV44 )
                                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                      | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                       != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                           != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(556,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(557,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(558,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                        | ( SV45
                                                         != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                          | ( ( sdtpldt0 @ SV14 @ SV45 )
                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                           != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(559,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
               != ( sdtasdt0 @ SV49 @ SV14 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[545]) ).

thf(560,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[546]) ).

thf(561,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[547]) ).

thf(562,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                        | ( SV46
                                                         != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                          | ( ( sdtpldt0 @ SV14 @ SV46 )
                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                           != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(563,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
               != ( sdtasdt0 @ SV50 @ SV14 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(564,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                            | ( SV47
                                             != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
              | ( ( sdtpldt0 @ SV14 @ SV47 )
               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(565,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
               != ( sdtpldt0 @ SV14 @ SV47 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[551]) ).

thf(566,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK7_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[552]) ).

thf(567,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK8_SY75 @ SV51 @ SV47 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[553]) ).

thf(568,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
          | ( SV14
           != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(569,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                | ( SV44
                                                                 != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV44 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                       != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(570,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                    | ( SV45
                                                     != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV45 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[558]) ).

thf(571,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
           != ( sdtasdt0 @ SV49 @ SV14 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(572,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                    | ( SV46
                                                     != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV46 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(573,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
           != ( sdtasdt0 @ SV50 @ SV14 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(574,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                        | ( SV47
                                         != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
          | ( ( sdtpldt0 @ SV14 @ SV47 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(575,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV47 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(576,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(577,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV44: $i,SV48: $i,SV14: $i] :
      ( ( ( ( SV14
           != ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(578,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                      | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                                | ( SV44
                                                                 != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                  | ( ( sdtpldt0 @ SV14 @ SV44 )
                                   != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                            | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                  | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                   != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                       != ( sdtasdt0 @ SV48 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[569]) ).

thf(579,plain,
    ! [SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i,SV14: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[569]) ).

thf(580,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                    | ( SV45
                                                     != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV45 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV45 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[570]) ).

thf(581,plain,
    ! [SV49: $i,SV55: $i,SV59: $i,SV45: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[570]) ).

thf(582,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(583,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
           != ( sdtasdt0 @ SV49 @ SV14 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(584,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                    | ( SV46
                                                     != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV46 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV46 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[572]) ).

thf(585,plain,
    ! [SV50: $i,SV61: $i,SV60: $i,SV46: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[572]) ).

thf(586,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(587,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
           != ( sdtasdt0 @ SV50 @ SV14 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(588,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                        | ( SV47
                                         != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[574]) ).

thf(589,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ( ( sdtpldt0 @ SV14 @ SV47 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[574]) ).

thf(590,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[575]) ).

thf(591,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV47 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[575]) ).

thf(592,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(593,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV44: $i,SV48: $i,SV14: $i] :
      ( ( ( SV14
          = ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[577]) ).

thf(594,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                              | ( SV44
                                                               != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                | ( ( sdtpldt0 @ SV14 @ SV44 )
                                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                                 != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                     != ( sdtasdt0 @ SV48 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(595,plain,
    ! [SV54: $i,SV58: $i,SV44: $i,SV65: $i,SV64: $i,SV14: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV48 @ SV14 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[579]) ).

thf(596,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                        | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                                  | ( SV45
                                                   != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                    | ( ( sdtpldt0 @ SV14 @ SV45 )
                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                     != ( sdtpldt0 @ SV14 @ SV45 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(597,plain,
    ! [SV49: $i,SV55: $i,SV59: $i,SV45: $i,SV14: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV45 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(598,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(599,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ( sdtpldt0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) )
          = ( sdtasdt0 @ SV49 @ SV14 ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(600,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                        | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                                  | ( SV46
                                                   != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                    | ( ( sdtpldt0 @ SV14 @ SV46 )
                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                     != ( sdtpldt0 @ SV14 @ SV46 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(601,plain,
    ! [SV50: $i,SV61: $i,SV60: $i,SV46: $i,SV14: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV46 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(602,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[586]) ).

thf(603,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ( sdtpldt0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) )
          = ( sdtasdt0 @ SV50 @ SV14 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(604,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                      | ( SV47
                                       != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(605,plain,
    ! [SV51: $i,SV47: $i,SV14: $i] :
      ( ( ( ( sdtpldt0 @ SV14 @ SV47 )
          = ( sdtpldt0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[589]) ).

thf(606,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[590]) ).

thf(607,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ( sdtpldt0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) )
          = ( sdtpldt0 @ SV14 @ SV47 ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[591]) ).

thf(608,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(609,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                          | ( SV44
                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(610,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                              | ( SV45
                                               != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV45 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(611,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(612,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                              | ( SV46
                                               != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV46 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(613,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(614,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                  | ( SV47
                                   != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(615,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(616,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[608]) ).

thf(617,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[608]) ).

thf(618,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                          | ( SV44
                                                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                        | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                            | ( ( sdtpldt0 @ SV14 @ SV44 )
                             != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                      | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                             != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[609]) ).

thf(619,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
                 != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[609]) ).

thf(620,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                              | ( SV45
                                               != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV45 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[610]) ).

thf(621,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[610]) ).

thf(622,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(623,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(624,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                              | ( SV46
                                               != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV46 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(625,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(626,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[613]) ).

thf(627,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[613]) ).

thf(628,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                  | ( SV47
                                   != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[614]) ).

thf(629,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[614]) ).

thf(630,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[615]) ).

thf(631,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[615]) ).

thf(632,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[616]) ).

thf(633,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(634,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                        | ( SV44
                                                         != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                          | ( ( sdtpldt0 @ SV14 @ SV44 )
                           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                          | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                           != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[618]) ).

thf(635,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
               != ( sdtasdt0 @ SV48 @ SV14 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(636,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                            | ( SV45
                                             != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
              | ( ( sdtpldt0 @ SV14 @ SV45 )
               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[620]) ).

thf(637,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
               != ( sdtpldt0 @ SV14 @ SV45 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[621]) ).

thf(638,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK23_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[622]) ).

thf(639,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK24_SY107 @ SV49 @ SV45 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[623]) ).

thf(640,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                            | ( SV46
                                             != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
              | ( ( sdtpldt0 @ SV14 @ SV46 )
               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(641,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
               != ( sdtpldt0 @ SV14 @ SV46 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(642,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK15_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[626]) ).

thf(643,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK16_SY91 @ SV50 @ SV46 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[627]) ).

thf(644,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                                | ( SV47
                                 != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[628]) ).

thf(645,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(646,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK9_W7 @ SV51 @ SV47 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[630]) ).

thf(647,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK10_SY76 @ SV51 @ SV47 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[631]) ).

thf(648,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                    | ( SV44
                                                     != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV44 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(649,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
           != ( sdtasdt0 @ SV48 @ SV14 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(650,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                        | ( SV45
                                         != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
          | ( ( sdtpldt0 @ SV14 @ SV45 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(651,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV45 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(652,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                        | ( SV46
                                         != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
          | ( ( sdtpldt0 @ SV14 @ SV46 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(653,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV46 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(654,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( SV47
                             != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(655,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                    | ( SV44
                                                     != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                  | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                      | ( ( sdtpldt0 @ SV14 @ SV44 )
                       != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
                | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                       != ( sdtpldt0 @ SV14 @ SV44 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[648]) ).

thf(656,plain,
    ! [SV48: $i,SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV44: $i,SV14: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[648]) ).

thf(657,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(658,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
           != ( sdtasdt0 @ SV48 @ SV14 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(659,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                        | ( SV45
                                         != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(660,plain,
    ! [SV55: $i,SV59: $i,SV49: $i,SV45: $i,SV14: $i] :
      ( ( ( ( ( sdtpldt0 @ SV14 @ SV45 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(661,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[651]) ).

thf(662,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV45 ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[651]) ).

thf(663,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                        | ( SV46
                                         != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(664,plain,
    ! [SV61: $i,SV60: $i,SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( ( ( sdtpldt0 @ SV14 @ SV46 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(665,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(666,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV46 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(667,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                            | ( SV47
                             != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[654]) ).

thf(668,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[654]) ).

thf(669,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                        | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                                  | ( SV44
                                                   != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                    | ( ( sdtpldt0 @ SV14 @ SV44 )
                     != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                     != ( sdtpldt0 @ SV14 @ SV44 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(670,plain,
    ! [SV48: $i,SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV44: $i,SV14: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ SV14 @ SV44 ) @ ( sdtpldt1 @ xI @ xJ ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[656]) ).

thf(671,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(672,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ( sdtpldt0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) )
          = ( sdtasdt0 @ SV48 @ SV14 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[658]) ).

thf(673,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                      | ( SV45
                                       != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[659]) ).

thf(674,plain,
    ! [SV55: $i,SV59: $i,SV49: $i,SV45: $i,SV14: $i] :
      ( ( ( ( sdtpldt0 @ SV14 @ SV45 )
          = ( sdtpldt0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[660]) ).

thf(675,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[661]) ).

thf(676,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ( sdtpldt0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) )
          = ( sdtpldt0 @ SV14 @ SV45 ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[662]) ).

thf(677,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                      | ( SV46
                                       != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(678,plain,
    ! [SV61: $i,SV60: $i,SV50: $i,SV46: $i,SV14: $i] :
      ( ( ( ( sdtpldt0 @ SV14 @ SV46 )
          = ( sdtpldt0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[664]) ).

thf(679,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[665]) ).

thf(680,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ( sdtpldt0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) )
          = ( sdtpldt0 @ SV14 @ SV46 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[666]) ).

thf(681,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                          | ( SV47
                           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(682,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV51 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(683,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                              | ( SV44
                                               != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV44 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(684,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(685,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                  | ( SV45
                                   != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(686,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[675]) ).

thf(687,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                  | ( SV46
                                   != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(688,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(689,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( SV47
                       != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(690,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                              | ( SV44
                                               != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                        | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                            | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                | ( ( sdtpldt0 @ SV14 @ SV44 )
                 != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(691,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
                 != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(692,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[684]) ).

thf(693,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[684]) ).

thf(694,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                  | ( SV45
                                   != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(695,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(696,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[686]) ).

thf(697,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[686]) ).

thf(698,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                  | ( SV46
                                   != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(699,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(700,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(701,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(702,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                      | ( SV47
                       != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[689]) ).

thf(703,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[689]) ).

thf(704,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                                  | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                            | ( SV44
                                             != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
              | ( ( sdtpldt0 @ SV14 @ SV44 )
               != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(705,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
              | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
               != ( sdtpldt0 @ SV14 @ SV44 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(706,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK31_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(707,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK32_SY123 @ SV48 @ SV44 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(708,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                                | ( SV45
                                 != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(709,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(710,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK25_W7 @ SV49 @ SV45 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(711,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK26_SY108 @ SV49 @ SV45 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[697]) ).

thf(712,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                                | ( SV46
                                 != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(713,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[699]) ).

thf(714,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK17_W7 @ SV50 @ SV46 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(715,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK18_SY92 @ SV50 @ SV46 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(716,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                    | ( SV47
                     != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(717,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK6_SY62 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(718,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                        | ( SV44
                                         != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
          | ( ( sdtpldt0 @ SV14 @ SV44 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[704]) ).

thf(719,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
          | ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV44 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[705]) ).

thf(720,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( SV45
                             != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(721,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( SV46
                             != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(722,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( SV47
                 != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(723,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                              | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                        | ( SV44
                                         != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                  | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                      | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[718]) ).

thf(724,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV48: $i,SV44: $i,SV14: $i] :
      ( ( ( ( ( sdtpldt0 @ SV14 @ SV44 )
           != ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[718]) ).

thf(725,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[719]) ).

thf(726,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
           != ( sdtpldt0 @ SV14 @ SV44 ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[719]) ).

thf(727,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                            | ( SV45
                             != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[720]) ).

thf(728,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[720]) ).

thf(729,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                            | ( SV46
                             != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[721]) ).

thf(730,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[721]) ).

thf(731,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
                | ( SV47
                 != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[722]) ).

thf(732,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[722]) ).

thf(733,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                            | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                      | ( SV44
                                       != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                    | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(734,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV48: $i,SV44: $i,SV14: $i] :
      ( ( ( ( sdtpldt0 @ SV14 @ SV44 )
          = ( sdtpldt0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(735,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(736,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ( sdtpldt0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) )
          = ( sdtpldt0 @ SV14 @ SV44 ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[726]) ).

thf(737,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                          | ( SV45
                           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(738,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV49 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(739,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                          | ( SV46
                           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[729]) ).

thf(740,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV50 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(741,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
              | ( SV47
               != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(742,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK5_W3 @ SV51 @ SV47 @ SV14 ) @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(743,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                  | ( SV44
                                   != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(744,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(745,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( SV45
                       != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(746,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( SV46
                       != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(747,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
          | ( SV47
           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(748,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                        | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                  | ( SV44
                                   != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                            | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
                | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(749,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(750,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(751,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(752,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                      | ( SV45
                       != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[745]) ).

thf(753,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[745]) ).

thf(754,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                      | ( SV46
                       != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[746]) ).

thf(755,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[746]) ).

thf(756,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[747]) ).

thf(757,plain,
    ! [SV14: $i,SV51: $i,SV47: $i] :
      ( ( ( ( SV47
           != ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[747]) ).

thf(758,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                      | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                                | ( SV44
                                 != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
              | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[748]) ).

thf(759,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(760,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK33_W7 @ SV48 @ SV44 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(761,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK34_SY124 @ SV48 @ SV44 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[751]) ).

thf(762,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                    | ( SV45
                     != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(763,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK22_SY94 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(764,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                    | ( SV46
                     != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(765,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK14_SY78 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(766,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[756]) ).

thf(767,plain,
    ! [SV14: $i,SV51: $i,SV47: $i] :
      ( ( ( SV47
          = ( sdtpldt0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[757]) ).

thf(768,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( SV44
                             != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
          | ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[758]) ).

thf(769,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( SV45
                 != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(770,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( SV46
                 != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(771,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(772,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                  | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                            | ( SV44
                             != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                      | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[768]) ).

thf(773,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[768]) ).

thf(774,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
                | ( SV45
                 != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(775,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(776,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
                | ( SV46
                 != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(777,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(778,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(779,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(780,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                          | ( SV44
                           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                    | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[772]) ).

thf(781,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sdtasdt0 @ SV48 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[773]) ).

thf(782,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
              | ( SV45
               != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[774]) ).

thf(783,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK21_W3 @ SV49 @ SV45 @ SV14 ) @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[775]) ).

thf(784,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
              | ( SV46
               != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[776]) ).

thf(785,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK13_W3 @ SV50 @ SV46 @ SV14 ) @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[777]) ).

thf(786,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK11_SY69 @ SV51 @ SV47 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[778]) ).

thf(787,plain,
    ! [SV14: $i,SV47: $i,SV51: $i] :
      ( ( ( aElementOf0 @ ( sK12_SY77 @ SV51 @ SV47 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV47 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV51 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[779]) ).

thf(788,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( SV44
                       != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(789,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
          | ( SV45
           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(790,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
          | ( SV46
           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(791,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                            | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                      | ( SV44
                       != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
                | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[788]) ).

thf(792,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[788]) ).

thf(793,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(794,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV49: $i,SV45: $i] :
      ( ( ( ( SV45
           != ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(795,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[790]) ).

thf(796,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV50: $i,SV46: $i] :
      ( ( ( ( SV46
           != ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[790]) ).

thf(797,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                          | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                    | ( SV44
                     != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
              | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[791]) ).

thf(798,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK30_SY110 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(799,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(800,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV49: $i,SV45: $i] :
      ( ( ( SV45
          = ( sdtpldt0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) ) )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[794]) ).

thf(801,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[795]) ).

thf(802,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV50: $i,SV46: $i] :
      ( ( ( SV46
          = ( sdtpldt0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(803,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( SV44
                 != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
          | ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[797]) ).

thf(804,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(805,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(806,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                      | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
                | ( SV44
                 != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[803]) ).

thf(807,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[803]) ).

thf(808,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[804]) ).

thf(809,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[804]) ).

thf(810,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(811,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(812,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                    | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
              | ( SV44
               != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(813,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sdtpldt0 @ ( sK29_W3 @ SV48 @ SV44 @ SV14 ) @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(814,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK27_SY101 @ SV49 @ SV45 @ SV14 ) @ xI )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[808]) ).

thf(815,plain,
    ! [SV55: $i,SV59: $i,SV14: $i,SV45: $i,SV49: $i] :
      ( ( ( aElementOf0 @ ( sK28_SY109 @ SV49 @ SV45 @ SV14 ) @ xJ )
        = $true )
      | ( ( aElementOf0 @ SV45 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElementOf0 @ SV59 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV55 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV55 @ SV59 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[809]) ).

thf(816,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK19_SY85 @ SV50 @ SV46 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[810]) ).

thf(817,plain,
    ! [SV61: $i,SV60: $i,SV14: $i,SV46: $i,SV50: $i] :
      ( ( ( aElementOf0 @ ( sK20_SY93 @ SV50 @ SV46 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV60 @ SV61 )
          = SV46 )
        = $false )
      | ( ( aElementOf0 @ SV60 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV61 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV14 @ ( sdtpldt1 @ xI @ xJ ) )
        = $false )
      | ( ( aElement0 @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[811]) ).

thf(818,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
          | ( SV44
           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(819,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
                | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[818]) ).

thf(820,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV48: $i,SV44: $i] :
      ( ( ( ( SV44
           != ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[818]) ).

thf(821,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
              | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[819]) ).

thf(822,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV48: $i,SV44: $i] :
      ( ( ( SV44
          = ( sdtpldt0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) ) )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[820]) ).

thf(823,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
          | ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(824,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(825,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( ~ ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ ) )
        = $false )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(826,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK35_SY117 @ SV48 @ SV44 @ SV14 ) @ xI )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[824]) ).

thf(827,plain,
    ! [SV54: $i,SV58: $i,SV65: $i,SV64: $i,SV14: $i,SV44: $i,SV48: $i] :
      ( ( ( aElementOf0 @ ( sK36_SY125 @ SV48 @ SV44 @ SV14 ) @ xJ )
        = $true )
      | ( ( ( sdtpldt0 @ SV64 @ SV65 )
          = SV44 )
        = $false )
      | ( ( aElementOf0 @ SV64 @ xI )
        = $false )
      | ( ( aElementOf0 @ SV65 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV58 @ xJ )
        = $false )
      | ( ( aElementOf0 @ SV54 @ xI )
        = $false )
      | ( ( ( sdtpldt0 @ SV54 @ SV58 )
          = SV14 )
        = $false )
      | ( ( aElement0 @ SV48 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[825]) ).

thf(828,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[78,827,826,822,817,816,815,814,813,802,800,798,787,786,785,783,781,767,765,763,761,760,759,742,740,738,736,734,717,715,714,713,711,710,709,707,706,682,680,678,676,674,672,670,647,646,645,643,642,639,638,633,632,607,605,603,601,599,597,595,593,567,566,561,560,557,556,532,530,528,526,524,522,499,498,495,494,468,466,426,425,424,422,421,415,414,412,411,399,395,381,373,372,371,370,369,332,324,318,317,316,281,280,278,275,274,265,264,262,261,260,259,258,255,253,252,251,219,189,164,123,122,113,99,79]) ).

thf(829,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[828]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n018.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  : 600
% 0.13/0.34  % DateTime : Mon May 30 20:15:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40   No.of.Axioms: 22
% 0.19/0.40  
% 0.19/0.40   Length.of.Defs: 0
% 0.19/0.40  
% 0.19/0.40   Contains.Choice.Funs: false
% 0.19/0.42  .
% 0.19/0.45  (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:24,loop_count:0,foatp_calls:0,translation:fof_full)...............................................................
% 7.22/7.41  
% 7.22/7.41  ********************************
% 7.22/7.41  *   All subproblems solved!    *
% 7.22/7.41  ********************************
% 7.22/7.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:25,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:828,loop_count:0,foatp_calls:1,translation:fof_full)
% 7.79/8.01  
% 7.79/8.01  %**** Beginning of derivation protocol ****
% 7.79/8.01  % SZS output start CNFRefutation
% See solution above
% 7.83/8.02  
% 7.83/8.02  %**** End of derivation protocol ****
% 7.83/8.02  %**** no. of clauses in derivation: 829 ****
% 7.83/8.02  %**** clause counter: 828 ****
% 7.83/8.02  
% 7.83/8.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:25,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:828,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------