TSTP Solution File: NUM543+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:52:03 EDT 2023

% Result   : Theorem 215.51s 179.56s
% Output   : CNFRefutation 215.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  312 (  71 unt;  32 typ;   5 def)
%            Number of atoms       :  856 ( 124 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives : 1064 ( 488   ~; 489   |;  35   &)
%                                         (  12 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  28   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   4 con; 0-3 aty)
%            Number of variables   :  253 (; 249   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xS > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_5 > #skF_10 > #skF_8 > #skF_13 > #skF_3 > #skF_2 > #skF_9

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_7',type,
    '#skF_7': $i > $i ).

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

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

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

tff(szszuzczcdt0,type,
    szszuzczcdt0: $i > $i ).

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

tff(sdtmndt0,type,
    sdtmndt0: ( $i * $i ) > $i ).

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

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

tff(szNzAzT0,type,
    szNzAzT0: $i ).

tff(sdtlseqdt0,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

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

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

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

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

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

tff(aSubsetOf0,type,
    aSubsetOf0: ( $i * $i ) > $o ).

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

tff(isCountable0,type,
    isCountable0: $i > $o ).

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

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

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

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

tff(slcrc0,type,
    slcrc0: $i ).

tff(isFinite0,type,
    isFinite0: $i > $o ).

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

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

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

tff(szmzizndt0,type,
    szmzizndt0: $i > $i ).

tff(szmzazxdt0,type,
    szmzazxdt0: $i > $i ).

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

tff(slbdtrb0,type,
    slbdtrb0: $i > $i ).

tff(f_52,definition,
    ! [W0] :
      ( ( W0 = slcrc0 )
    <=> ( aSet0(W0)
        & ~ ? [W1] : aElementOf0(W1,W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

tff(f_330,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ( ( sbrdtbr0(W0) = sz00 )
      <=> ( W0 = slcrc0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).

tff(f_468,hypothesis,
    ( aSet0(xS)
    & ! [W0] :
        ( aElementOf0(W0,xS)
       => aElementOf0(W0,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).

tff(f_405,definition,
    ! [W0] :
      ( ( aSubsetOf0(W0,szNzAzT0)
        & isFinite0(W0)
        & ( W0 != slcrc0 ) )
     => ! [W1] :
          ( ( W1 = szmzazxdt0(W0) )
        <=> ( aElementOf0(W1,W0)
            & ! [W2] :
                ( aElementOf0(W2,W0)
               => sdtlseqdt0(W2,W1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).

tff(f_211,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

tff(f_97,axiom,
    ! [W0] :
      ( aSet0(W0)
     => aSubsetOf0(W0,W0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).

tff(f_388,definition,
    ! [W0] :
      ( ( aSubsetOf0(W0,szNzAzT0)
        & ( W0 != slcrc0 ) )
     => ! [W1] :
          ( ( W1 = szmzizndt0(W0) )
        <=> ( aElementOf0(W1,W0)
            & ! [W2] :
                ( aElementOf0(W2,W0)
               => sdtlseqdt0(W1,W2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).

tff(f_219,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
        & ( szszuzczcdt0(W0) != sz00 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).

tff(f_84,definition,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aSubsetOf0(W1,W0)
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
               => aElementOf0(W2,W0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

tff(f_241,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( W0 != szszuzczcdt0(W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).

tff(f_212,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

tff(f_303,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( sdtlseqdt0(W0,W1)
        | sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).

tff(f_487,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,szNzAzT0)
        & ( ( aSet0(slbdtrb0(W0))
            & ! [W1] :
                ( aElementOf0(W1,slbdtrb0(W0))
              <=> ( aElementOf0(W1,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )
         => ( ! [W1] :
                ( aElementOf0(W1,xS)
               => aElementOf0(W1,slbdtrb0(W0)) )
            | aSubsetOf0(xS,slbdtrb0(W0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

tff(f_269,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).

tff(f_295,axiom,
    ! [W0,W1,W2] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0)
        & aElementOf0(W2,szNzAzT0) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W2) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).

tff(f_283,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( ( sdtlseqdt0(W0,W1)
          & sdtlseqdt0(W1,W0) )
       => ( W0 = W1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

tff(f_440,axiom,
    slbdtrb0(sz00) = slcrc0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).

tff(f_458,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( sdtlseqdt0(W0,W1)
      <=> aSubsetOf0(slbdtrb0(W0),slbdtrb0(W1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).

tff(f_119,axiom,
    ! [W0,W1,W2] :
      ( ( aSet0(W0)
        & aSet0(W1)
        & aSet0(W2) )
     => ( ( aSubsetOf0(W0,W1)
          & aSubsetOf0(W1,W2) )
       => aSubsetOf0(W0,W2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).

tff(f_439,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => isFinite0(slbdtrb0(W0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).

tff(f_324,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
      <=> isFinite0(W0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).

tff(f_252,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => sdtlseqdt0(sz00,W0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

tff(f_373,axiom,
    ! [W0,W1] :
      ( ( aSet0(W0)
        & aElementOf0(W1,szNzAzT0) )
     => ( ( isFinite0(W0)
          & sdtlseqdt0(W1,sbrdtbr0(W0)) )
       => ? [W2] :
            ( aSubsetOf0(W2,W0)
            & ( sbrdtbr0(W2) = W1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).

tff(f_53,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).

tff(f_360,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( ( isFinite0(W0)
            & aSubsetOf0(W1,W0) )
         => sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).

tff(f_236,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ( ( W0 = sz00 )
        | ? [W1] :
            ( aElementOf0(W1,szNzAzT0)
            & ( W0 = szszuzczcdt0(W1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).

tff(f_257,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).

tff(f_273,axiom,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => sdtlseqdt0(W0,W0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).

tff(f_342,axiom,
    ! [W0] :
      ( ( aSet0(W0)
        & isFinite0(W0) )
     => ! [W1] :
          ( aElement0(W1)
         => ( ~ aElementOf0(W1,W0)
           => ( sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).

tff(f_435,definition,
    ! [W0] :
      ( aElementOf0(W0,szNzAzT0)
     => ! [W1] :
          ( ( W1 = slbdtrb0(W0) )
        <=> ( aSet0(W1)
            & ! [W2] :
                ( aElementOf0(W2,W1)
              <=> ( aElementOf0(W2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

tff(f_450,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
      <=> ( aElementOf0(W0,slbdtrb0(W1))
          | ( W0 = W1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).

tff(f_39,axiom,
    ! [W0] :
      ( aSet0(W0)
     => ! [W1] :
          ( aElementOf0(W1,W0)
         => aElement0(W1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

tff(f_265,axiom,
    ! [W0,W1] :
      ( ( aElementOf0(W0,szNzAzT0)
        & aElementOf0(W1,szNzAzT0) )
     => ( sdtlseqdt0(W0,W1)
      <=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).

tff(c_12,plain,
    ! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_14,plain,
    aSet0(slcrc0),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_154,plain,
    ( ( sbrdtbr0(slcrc0) = sz00 )
    | ~ aSet0(slcrc0) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_242,plain,
    sbrdtbr0(slcrc0) = sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).

tff(c_226,plain,
    aSet0(xS),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_453,plain,
    ! [W0_188] :
      ( ( slcrc0 = W0_188 )
      | aElementOf0('#skF_1'(W0_188),W0_188)
      | ~ aSet0(W0_188) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_224,plain,
    ! [W0_148] :
      ( aElementOf0(W0_148,szNzAzT0)
      | ~ aElementOf0(W0_148,xS) ),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_472,plain,
    ( aElementOf0('#skF_1'(xS),szNzAzT0)
    | ( xS = slcrc0 )
    | ~ aSet0(xS) ),
    inference(resolution,[status(thm)],[c_453,c_224]) ).

tff(c_487,plain,
    ( aElementOf0('#skF_1'(xS),szNzAzT0)
    | ( xS = slcrc0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_226,c_472]) ).

tff(c_493,plain,
    xS = slcrc0,
    inference(splitLeft,[status(thm)],[c_487]) ).

tff(c_358,plain,
    ! [W0_176] :
      ( ( slcrc0 = W0_176 )
      | ( sbrdtbr0(W0_176) != sz00 )
      | ~ aSet0(W0_176) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_377,plain,
    ( ( xS = slcrc0 )
    | ( sbrdtbr0(xS) != sz00 ) ),
    inference(resolution,[status(thm)],[c_226,c_358]) ).

tff(c_385,plain,
    sbrdtbr0(xS) != sz00,
    inference(splitLeft,[status(thm)],[c_377]) ).

tff(c_494,plain,
    sbrdtbr0(slcrc0) != sz00,
    inference(demodulation,[status(thm),theory(equality)],[c_493,c_385]) ).

tff(c_505,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_242,c_494]) ).

tff(c_507,plain,
    xS != slcrc0,
    inference(splitRight,[status(thm)],[c_487]) ).

tff(c_222,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_220,plain,
    isFinite0(xS),
    inference(cnfTransformation,[status(thm)],[f_468]) ).

tff(c_904,plain,
    ! [W0_229] :
      ( aElementOf0(szmzazxdt0(W0_229),W0_229)
      | ( slcrc0 = W0_229 )
      | ~ isFinite0(W0_229)
      | ~ aSubsetOf0(W0_229,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_927,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ( xS = slcrc0 )
    | ~ isFinite0(xS)
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_904,c_224]) ).

tff(c_948,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ( xS = slcrc0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_222,c_220,c_927]) ).

tff(c_949,plain,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(negUnitSimplification,[status(thm)],[c_507,c_948]) ).

tff(c_108,plain,
    aSet0(szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_34,plain,
    ! [W0_27] :
      ( aSubsetOf0(W0_27,W0_27)
      | ~ aSet0(W0_27) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_633,plain,
    ! [W0_208] :
      ( aElementOf0(szmzizndt0(W0_208),W0_208)
      | ( slcrc0 = W0_208 )
      | ~ aSubsetOf0(W0_208,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_112,plain,
    ! [W0_72] :
      ( ( szszuzczcdt0(W0_72) != sz00 )
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_660,plain,
    ( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
    | ( szNzAzT0 = slcrc0 )
    | ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_633,c_112]) ).

tff(c_691,plain,
    ~ aSubsetOf0(szNzAzT0,szNzAzT0),
    inference(splitLeft,[status(thm)],[c_660]) ).

tff(c_694,plain,
    ~ aSet0(szNzAzT0),
    inference(resolution,[status(thm)],[c_34,c_691]) ).

tff(c_698,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_694]) ).

tff(c_700,plain,
    aSubsetOf0(szNzAzT0,szNzAzT0),
    inference(splitRight,[status(thm)],[c_660]) ).

tff(c_114,plain,
    ! [W0_72] :
      ( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_998,plain,
    ! [W2_231,W0_232,W1_233] :
      ( aElementOf0(W2_231,W0_232)
      | ~ aElementOf0(W2_231,W1_233)
      | ~ aSubsetOf0(W1_233,W0_232)
      | ~ aSet0(W0_232) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_1044,plain,
    ! [W0_72,W0_232] :
      ( aElementOf0(szszuzczcdt0(W0_72),W0_232)
      | ~ aSubsetOf0(szNzAzT0,W0_232)
      | ~ aSet0(W0_232)
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_114,c_998]) ).

tff(c_122,plain,
    ! [W0_77] :
      ( ( szszuzczcdt0(W0_77) != W0_77 )
      | ~ aElementOf0(W0_77,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_970,plain,
    szszuzczcdt0(szmzazxdt0(xS)) != szmzazxdt0(xS),
    inference(resolution,[status(thm)],[c_949,c_122]) ).

tff(c_110,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_2025,plain,
    ! [W1_293,W0_294] :
      ( sdtlseqdt0(szszuzczcdt0(W1_293),W0_294)
      | sdtlseqdt0(W0_294,W1_293)
      | ~ aElementOf0(W1_293,szNzAzT0)
      | ~ aElementOf0(W0_294,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_234,plain,
    ! [W1_152,W0_149] :
      ( aElementOf0(W1_152,slbdtrb0(W0_149))
      | ~ sdtlseqdt0(szszuzczcdt0(W1_152),W0_149)
      | ~ aElementOf0(W1_152,szNzAzT0)
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_2043,plain,
    ! [W1_293,W0_294] :
      ( aElementOf0(W1_293,slbdtrb0(W0_294))
      | sdtlseqdt0(W0_294,W1_293)
      | ~ aElementOf0(W1_293,szNzAzT0)
      | ~ aElementOf0(W0_294,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_2025,c_234]) ).

tff(c_134,plain,
    ! [W0_84] :
      ( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
      | ~ aElementOf0(W0_84,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_269]) ).

tff(c_238,plain,
    ! [W1_152,W0_149] :
      ( sdtlseqdt0(szszuzczcdt0(W1_152),W0_149)
      | ~ aElementOf0(W1_152,slbdtrb0(W0_149))
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_18750,plain,
    ! [W0_736,W2_737,W1_738] :
      ( sdtlseqdt0(W0_736,W2_737)
      | ~ sdtlseqdt0(W1_738,W2_737)
      | ~ sdtlseqdt0(W0_736,W1_738)
      | ~ aElementOf0(W2_737,szNzAzT0)
      | ~ aElementOf0(W1_738,szNzAzT0)
      | ~ aElementOf0(W0_736,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_18942,plain,
    ! [W0_743,W0_744,W1_745] :
      ( sdtlseqdt0(W0_743,W0_744)
      | ~ sdtlseqdt0(W0_743,szszuzczcdt0(W1_745))
      | ~ aElementOf0(szszuzczcdt0(W1_745),szNzAzT0)
      | ~ aElementOf0(W0_743,szNzAzT0)
      | ~ aElementOf0(W1_745,slbdtrb0(W0_744))
      | ~ aElementOf0(W0_744,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_18750]) ).

tff(c_43050,plain,
    ! [W0_1199,W0_1200] :
      ( sdtlseqdt0(W0_1199,W0_1200)
      | ~ aElementOf0(szszuzczcdt0(W0_1199),szNzAzT0)
      | ~ aElementOf0(W0_1199,slbdtrb0(W0_1200))
      | ~ aElementOf0(W0_1200,szNzAzT0)
      | ~ aElementOf0(W0_1199,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_134,c_18942]) ).

tff(c_44250,plain,
    ! [W0_1214,W0_1215] :
      ( sdtlseqdt0(W0_1214,W0_1215)
      | ~ aElementOf0(W0_1214,slbdtrb0(W0_1215))
      | ~ aElementOf0(W0_1215,szNzAzT0)
      | ~ aElementOf0(W0_1214,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_114,c_43050]) ).

tff(c_44642,plain,
    ! [W1_293,W0_294] :
      ( sdtlseqdt0(W1_293,W0_294)
      | sdtlseqdt0(W0_294,W1_293)
      | ~ aElementOf0(W1_293,szNzAzT0)
      | ~ aElementOf0(W0_294,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_2043,c_44250]) ).

tff(c_236,plain,
    ! [W0_149] :
      ( aSet0(slbdtrb0(W0_149))
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_1032,plain,
    ! [W0_232] :
      ( aElementOf0(szmzazxdt0(xS),W0_232)
      | ~ aSubsetOf0(szNzAzT0,W0_232)
      | ~ aSet0(W0_232) ),
    inference(resolution,[status(thm)],[c_949,c_998]) ).

tff(c_2389,plain,
    ! [W1_320,W0_321] :
      ( ( W1_320 = W0_321 )
      | ~ sdtlseqdt0(W1_320,W0_321)
      | ~ sdtlseqdt0(W0_321,W1_320)
      | ~ aElementOf0(W1_320,szNzAzT0)
      | ~ aElementOf0(W0_321,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_4306,plain,
    ! [W0_405] :
      ( ( szszuzczcdt0(W0_405) = W0_405 )
      | ~ sdtlseqdt0(szszuzczcdt0(W0_405),W0_405)
      | ~ aElementOf0(szszuzczcdt0(W0_405),szNzAzT0)
      | ~ aElementOf0(W0_405,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_134,c_2389]) ).

tff(c_4333,plain,
    ! [W0_406] :
      ( ( szszuzczcdt0(W0_406) = W0_406 )
      | ~ aElementOf0(szszuzczcdt0(W0_406),szNzAzT0)
      | ~ aElementOf0(W0_406,slbdtrb0(W0_406))
      | ~ aElementOf0(W0_406,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_4306]) ).

tff(c_4338,plain,
    ! [W0_72] :
      ( ( szszuzczcdt0(W0_72) = W0_72 )
      | ~ aElementOf0(W0_72,slbdtrb0(W0_72))
      | ~ aSubsetOf0(szNzAzT0,szNzAzT0)
      | ~ aSet0(szNzAzT0)
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1044,c_4333]) ).

tff(c_4347,plain,
    ! [W0_407] :
      ( ( szszuzczcdt0(W0_407) = W0_407 )
      | ~ aElementOf0(W0_407,slbdtrb0(W0_407))
      | ~ aElementOf0(W0_407,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_700,c_4338]) ).

tff(c_4406,plain,
    ( ( szszuzczcdt0(szmzazxdt0(xS)) = szmzazxdt0(xS) )
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slbdtrb0(szmzazxdt0(xS))) ),
    inference(resolution,[status(thm)],[c_1032,c_4347]) ).

tff(c_4441,plain,
    ( ( szszuzczcdt0(szmzazxdt0(xS)) = szmzazxdt0(xS) )
    | ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slbdtrb0(szmzazxdt0(xS))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_4406]) ).

tff(c_4442,plain,
    ( ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slbdtrb0(szmzazxdt0(xS))) ),
    inference(negUnitSimplification,[status(thm)],[c_970,c_4441]) ).

tff(c_4822,plain,
    ~ aSet0(slbdtrb0(szmzazxdt0(xS))),
    inference(splitLeft,[status(thm)],[c_4442]) ).

tff(c_4825,plain,
    ~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(resolution,[status(thm)],[c_236,c_4822]) ).

tff(c_4829,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_4825]) ).

tff(c_4831,plain,
    aSet0(slbdtrb0(szmzazxdt0(xS))),
    inference(splitRight,[status(thm)],[c_4442]) ).

tff(c_208,plain,
    slbdtrb0(sz00) = slcrc0,
    inference(cnfTransformation,[status(thm)],[f_440]) ).

tff(c_3229,plain,
    ! [W0_350,W1_351] :
      ( aSubsetOf0(slbdtrb0(W0_350),slbdtrb0(W1_351))
      | ~ sdtlseqdt0(W0_350,W1_351)
      | ~ aElementOf0(W1_351,szNzAzT0)
      | ~ aElementOf0(W0_350,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_458]) ).

tff(c_3253,plain,
    ! [W0_350] :
      ( aSubsetOf0(slbdtrb0(W0_350),slcrc0)
      | ~ sdtlseqdt0(W0_350,sz00)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(W0_350,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_208,c_3229]) ).

tff(c_3263,plain,
    ! [W0_350] :
      ( aSubsetOf0(slbdtrb0(W0_350),slcrc0)
      | ~ sdtlseqdt0(W0_350,sz00)
      | ~ aElementOf0(W0_350,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_3253]) ).

tff(c_1522,plain,
    ! [W0_260,W1_261] :
      ( aElementOf0('#skF_2'(W0_260,W1_261),W1_261)
      | aSubsetOf0(W1_261,W0_260)
      | ~ aSet0(W1_261)
      | ~ aSet0(W0_260) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_1563,plain,
    ! [W0_260] :
      ( aSubsetOf0(slcrc0,W0_260)
      | ~ aSet0(slcrc0)
      | ~ aSet0(W0_260) ),
    inference(resolution,[status(thm)],[c_1522,c_12]) ).

tff(c_1584,plain,
    ! [W0_260] :
      ( aSubsetOf0(slcrc0,W0_260)
      | ~ aSet0(W0_260) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_1563]) ).

tff(c_3544,plain,
    ! [W0_360,W2_361,W1_362] :
      ( aSubsetOf0(W0_360,W2_361)
      | ~ aSubsetOf0(W1_362,W2_361)
      | ~ aSubsetOf0(W0_360,W1_362)
      | ~ aSet0(W2_361)
      | ~ aSet0(W1_362)
      | ~ aSet0(W0_360) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_3556,plain,
    ! [W0_360,W0_260] :
      ( aSubsetOf0(W0_360,W0_260)
      | ~ aSubsetOf0(W0_360,slcrc0)
      | ~ aSet0(slcrc0)
      | ~ aSet0(W0_360)
      | ~ aSet0(W0_260) ),
    inference(resolution,[status(thm)],[c_1584,c_3544]) ).

tff(c_3643,plain,
    ! [W0_365,W0_366] :
      ( aSubsetOf0(W0_365,W0_366)
      | ~ aSubsetOf0(W0_365,slcrc0)
      | ~ aSet0(W0_365)
      | ~ aSet0(W0_366) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_3556]) ).

tff(c_3654,plain,
    ! [W0_350,W0_366] :
      ( aSubsetOf0(slbdtrb0(W0_350),W0_366)
      | ~ aSet0(slbdtrb0(W0_350))
      | ~ aSet0(W0_366)
      | ~ sdtlseqdt0(W0_350,sz00)
      | ~ aElementOf0(W0_350,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3263,c_3643]) ).

tff(c_156,plain,
    ! [W0_98] :
      ( ( slcrc0 = W0_98 )
      | ( sbrdtbr0(W0_98) != sz00 )
      | ~ aSet0(W0_98) ),
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_4871,plain,
    ( ( slbdtrb0(szmzazxdt0(xS)) = slcrc0 )
    | ( sbrdtbr0(slbdtrb0(szmzazxdt0(xS))) != sz00 ) ),
    inference(resolution,[status(thm)],[c_4831,c_156]) ).

tff(c_4907,plain,
    sbrdtbr0(slbdtrb0(szmzazxdt0(xS))) != sz00,
    inference(splitLeft,[status(thm)],[c_4871]) ).

tff(c_206,plain,
    ! [W0_143] :
      ( isFinite0(slbdtrb0(W0_143))
      | ~ aElementOf0(W0_143,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_439]) ).

tff(c_150,plain,
    ! [W0_97] :
      ( aElementOf0(sbrdtbr0(W0_97),szNzAzT0)
      | ~ isFinite0(W0_97)
      | ~ aSet0(W0_97) ),
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_1042,plain,
    ! [W0_97,W0_232] :
      ( aElementOf0(sbrdtbr0(W0_97),W0_232)
      | ~ aSubsetOf0(szNzAzT0,W0_232)
      | ~ aSet0(W0_232)
      | ~ isFinite0(W0_97)
      | ~ aSet0(W0_97) ),
    inference(resolution,[status(thm)],[c_150,c_998]) ).

tff(c_126,plain,
    ! [W0_80] :
      ( sdtlseqdt0(sz00,W0_80)
      | ~ aElementOf0(W0_80,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_18360,plain,
    ! [W0_722,W1_723] :
      ( ( sbrdtbr0('#skF_8'(W0_722,W1_723)) = W1_723 )
      | ~ sdtlseqdt0(W1_723,sbrdtbr0(W0_722))
      | ~ isFinite0(W0_722)
      | ~ aElementOf0(W1_723,szNzAzT0)
      | ~ aSet0(W0_722) ),
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_18396,plain,
    ! [W0_722] :
      ( ( sbrdtbr0('#skF_8'(W0_722,sz00)) = sz00 )
      | ~ isFinite0(W0_722)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aSet0(W0_722)
      | ~ aElementOf0(sbrdtbr0(W0_722),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_126,c_18360]) ).

tff(c_19990,plain,
    ! [W0_776] :
      ( ( sbrdtbr0('#skF_8'(W0_776,sz00)) = sz00 )
      | ~ isFinite0(W0_776)
      | ~ aSet0(W0_776)
      | ~ aElementOf0(sbrdtbr0(W0_776),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_18396]) ).

tff(c_20006,plain,
    ! [W0_97] :
      ( ( sbrdtbr0('#skF_8'(W0_97,sz00)) = sz00 )
      | ~ aSubsetOf0(szNzAzT0,szNzAzT0)
      | ~ aSet0(szNzAzT0)
      | ~ isFinite0(W0_97)
      | ~ aSet0(W0_97) ),
    inference(resolution,[status(thm)],[c_1042,c_19990]) ).

tff(c_20017,plain,
    ! [W0_97] :
      ( ( sbrdtbr0('#skF_8'(W0_97,sz00)) = sz00 )
      | ~ isFinite0(W0_97)
      | ~ aSet0(W0_97) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_700,c_20006]) ).

tff(c_4779,plain,
    ! [W0_414,W1_415] :
      ( aSubsetOf0('#skF_8'(W0_414,W1_415),W0_414)
      | ~ sdtlseqdt0(W1_415,sbrdtbr0(W0_414))
      | ~ isFinite0(W0_414)
      | ~ aElementOf0(W1_415,szNzAzT0)
      | ~ aSet0(W0_414) ),
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_4802,plain,
    ! [W0_414] :
      ( aSubsetOf0('#skF_8'(W0_414,sz00),W0_414)
      | ~ isFinite0(W0_414)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aSet0(W0_414)
      | ~ aElementOf0(sbrdtbr0(W0_414),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_126,c_4779]) ).

tff(c_20269,plain,
    ! [W0_782] :
      ( aSubsetOf0('#skF_8'(W0_782,sz00),W0_782)
      | ~ isFinite0(W0_782)
      | ~ aSet0(W0_782)
      | ~ aElementOf0(sbrdtbr0(W0_782),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_4802]) ).

tff(c_26,plain,
    ! [W1_20,W0_14] :
      ( aSet0(W1_20)
      | ~ aSubsetOf0(W1_20,W0_14)
      | ~ aSet0(W0_14) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_20510,plain,
    ! [W0_787] :
      ( aSet0('#skF_8'(W0_787,sz00))
      | ~ isFinite0(W0_787)
      | ~ aSet0(W0_787)
      | ~ aElementOf0(sbrdtbr0(W0_787),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_20269,c_26]) ).

tff(c_20526,plain,
    ! [W0_97] :
      ( aSet0('#skF_8'(W0_97,sz00))
      | ~ aSubsetOf0(szNzAzT0,szNzAzT0)
      | ~ aSet0(szNzAzT0)
      | ~ isFinite0(W0_97)
      | ~ aSet0(W0_97) ),
    inference(resolution,[status(thm)],[c_1042,c_20510]) ).

tff(c_20541,plain,
    ! [W0_788] :
      ( aSet0('#skF_8'(W0_788,sz00))
      | ~ isFinite0(W0_788)
      | ~ aSet0(W0_788) ),
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_700,c_20526]) ).

tff(c_20689,plain,
    ! [W0_798] :
      ( ( '#skF_8'(W0_798,sz00) = slcrc0 )
      | ( sbrdtbr0('#skF_8'(W0_798,sz00)) != sz00 )
      | ~ isFinite0(W0_798)
      | ~ aSet0(W0_798) ),
    inference(resolution,[status(thm)],[c_20541,c_156]) ).

tff(c_20711,plain,
    ! [W0_799] :
      ( ( '#skF_8'(W0_799,sz00) = slcrc0 )
      | ~ isFinite0(W0_799)
      | ~ aSet0(W0_799) ),
    inference(superposition,[status(thm),theory(equality)],[c_20017,c_20689]) ).

tff(c_20744,plain,
    ! [W0_800] :
      ( ( '#skF_8'(slbdtrb0(W0_800),sz00) = slcrc0 )
      | ~ aSet0(slbdtrb0(W0_800))
      | ~ aElementOf0(W0_800,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_206,c_20711]) ).

tff(c_20750,plain,
    ( ( '#skF_8'(slbdtrb0(szmzazxdt0(xS)),sz00) = slcrc0 )
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_4831,c_20744]) ).

tff(c_20771,plain,
    '#skF_8'(slbdtrb0(szmzazxdt0(xS)),sz00) = slcrc0,
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_20750]) ).

tff(c_4818,plain,
    ! [W0_414] :
      ( aSubsetOf0('#skF_8'(W0_414,sz00),W0_414)
      | ~ isFinite0(W0_414)
      | ~ aSet0(W0_414)
      | ~ aElementOf0(sbrdtbr0(W0_414),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_4802]) ).

tff(c_20923,plain,
    ( aSubsetOf0(slcrc0,slbdtrb0(szmzazxdt0(xS)))
    | ~ isFinite0(slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slbdtrb0(szmzazxdt0(xS)))
    | ~ aElementOf0(sbrdtbr0(slbdtrb0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_20771,c_4818]) ).

tff(c_20940,plain,
    ( aSubsetOf0(slcrc0,slbdtrb0(szmzazxdt0(xS)))
    | ~ isFinite0(slbdtrb0(szmzazxdt0(xS)))
    | ~ aElementOf0(sbrdtbr0(slbdtrb0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4831,c_20923]) ).

tff(c_66574,plain,
    ~ aElementOf0(sbrdtbr0(slbdtrb0(szmzazxdt0(xS))),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_20940]) ).

tff(c_66583,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ isFinite0(slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slbdtrb0(szmzazxdt0(xS))) ),
    inference(resolution,[status(thm)],[c_1042,c_66574]) ).

tff(c_66595,plain,
    ~ isFinite0(slbdtrb0(szmzazxdt0(xS))),
    inference(demodulation,[status(thm),theory(equality)],[c_4831,c_108,c_700,c_66583]) ).

tff(c_66601,plain,
    ~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(resolution,[status(thm)],[c_206,c_66595]) ).

tff(c_66605,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_66601]) ).

tff(c_66607,plain,
    aElementOf0(sbrdtbr0(slbdtrb0(szmzazxdt0(xS))),szNzAzT0),
    inference(splitRight,[status(thm)],[c_20940]) ).

tff(c_16,plain,
    isFinite0(slcrc0),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_1375,plain,
    ! [W1_246,W0_247] :
      ( sdtlseqdt0(sbrdtbr0(W1_246),sbrdtbr0(W0_247))
      | ~ aSubsetOf0(W1_246,W0_247)
      | ~ isFinite0(W0_247)
      | ~ aSet0(W0_247) ),
    inference(cnfTransformation,[status(thm)],[f_360]) ).

tff(c_1381,plain,
    ! [W1_246] :
      ( sdtlseqdt0(sbrdtbr0(W1_246),sz00)
      | ~ aSubsetOf0(W1_246,slcrc0)
      | ~ isFinite0(slcrc0)
      | ~ aSet0(slcrc0) ),
    inference(superposition,[status(thm),theory(equality)],[c_242,c_1375]) ).

tff(c_1383,plain,
    ! [W1_246] :
      ( sdtlseqdt0(sbrdtbr0(W1_246),sz00)
      | ~ aSubsetOf0(W1_246,slcrc0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_1381]) ).

tff(c_120,plain,
    ! [W0_75] :
      ( aElementOf0('#skF_7'(W0_75),szNzAzT0)
      | ( sz00 = W0_75 )
      | ~ aElementOf0(W0_75,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_562,plain,
    ! [W0_201] :
      ( ( szszuzczcdt0('#skF_7'(W0_201)) = W0_201 )
      | ( sz00 = W0_201 )
      | ~ aElementOf0(W0_201,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_128,plain,
    ! [W0_81] :
      ( ~ sdtlseqdt0(szszuzczcdt0(W0_81),sz00)
      | ~ aElementOf0(W0_81,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_1741,plain,
    ! [W0_278] :
      ( ~ sdtlseqdt0(W0_278,sz00)
      | ~ aElementOf0('#skF_7'(W0_278),szNzAzT0)
      | ( sz00 = W0_278 )
      | ~ aElementOf0(W0_278,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_562,c_128]) ).

tff(c_1746,plain,
    ! [W0_279] :
      ( ~ sdtlseqdt0(W0_279,sz00)
      | ( sz00 = W0_279 )
      | ~ aElementOf0(W0_279,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_120,c_1741]) ).

tff(c_1774,plain,
    ! [W1_246] :
      ( ( sbrdtbr0(W1_246) = sz00 )
      | ~ aElementOf0(sbrdtbr0(W1_246),szNzAzT0)
      | ~ aSubsetOf0(W1_246,slcrc0) ),
    inference(resolution,[status(thm)],[c_1383,c_1746]) ).

tff(c_66624,plain,
    ( ( sbrdtbr0(slbdtrb0(szmzazxdt0(xS))) = sz00 )
    | ~ aSubsetOf0(slbdtrb0(szmzazxdt0(xS)),slcrc0) ),
    inference(resolution,[status(thm)],[c_66607,c_1774]) ).

tff(c_66654,plain,
    ~ aSubsetOf0(slbdtrb0(szmzazxdt0(xS)),slcrc0),
    inference(negUnitSimplification,[status(thm)],[c_4907,c_66624]) ).

tff(c_66706,plain,
    ( ~ aSet0(slbdtrb0(szmzazxdt0(xS)))
    | ~ aSet0(slcrc0)
    | ~ sdtlseqdt0(szmzazxdt0(xS),sz00)
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3654,c_66654]) ).

tff(c_66712,plain,
    ~ sdtlseqdt0(szmzazxdt0(xS),sz00),
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_14,c_4831,c_66706]) ).

tff(c_66718,plain,
    ( sdtlseqdt0(sz00,szmzazxdt0(xS))
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_44642,c_66712]) ).

tff(c_66724,plain,
    sdtlseqdt0(sz00,szmzazxdt0(xS)),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_949,c_66718]) ).

tff(c_140,plain,
    ! [W0_88,W2_90,W1_89] :
      ( sdtlseqdt0(W0_88,W2_90)
      | ~ sdtlseqdt0(W1_89,W2_90)
      | ~ sdtlseqdt0(W0_88,W1_89)
      | ~ aElementOf0(W2_90,szNzAzT0)
      | ~ aElementOf0(W1_89,szNzAzT0)
      | ~ aElementOf0(W0_88,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_66741,plain,
    ! [W0_88] :
      ( sdtlseqdt0(W0_88,szmzazxdt0(xS))
      | ~ sdtlseqdt0(W0_88,sz00)
      | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(W0_88,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_66724,c_140]) ).

tff(c_67325,plain,
    ! [W0_1448] :
      ( sdtlseqdt0(W0_1448,szmzazxdt0(xS))
      | ~ sdtlseqdt0(W0_1448,sz00)
      | ~ aElementOf0(W0_1448,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_949,c_66741]) ).

tff(c_2430,plain,
    ! [W0_84] :
      ( ( szszuzczcdt0(W0_84) = W0_84 )
      | ~ sdtlseqdt0(szszuzczcdt0(W0_84),W0_84)
      | ~ aElementOf0(szszuzczcdt0(W0_84),szNzAzT0)
      | ~ aElementOf0(W0_84,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_134,c_2389]) ).

tff(c_67383,plain,
    ( ( szszuzczcdt0(szmzazxdt0(xS)) = szmzazxdt0(xS) )
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(szmzazxdt0(xS)),sz00)
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_67325,c_2430]) ).

tff(c_67436,plain,
    ( ( szszuzczcdt0(szmzazxdt0(xS)) = szmzazxdt0(xS) )
    | ~ sdtlseqdt0(szszuzczcdt0(szmzazxdt0(xS)),sz00)
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_67383]) ).

tff(c_67437,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(szmzazxdt0(xS)),sz00)
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(negUnitSimplification,[status(thm)],[c_970,c_67436]) ).

tff(c_67447,plain,
    ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_67437]) ).

tff(c_67456,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1044,c_67447]) ).

tff(c_67469,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_108,c_700,c_67456]) ).

tff(c_67471,plain,
    aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference(splitRight,[status(thm)],[c_67437]) ).

tff(c_232,plain,
    ! [W0_149] :
      ( aElementOf0('#skF_13'(W0_149),xS)
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_176,plain,
    ! [W2_130,W0_121] :
      ( sdtlseqdt0(W2_130,szmzazxdt0(W0_121))
      | ~ aElementOf0(W2_130,W0_121)
      | ( slcrc0 = W0_121 )
      | ~ isFinite0(W0_121)
      | ~ aSubsetOf0(W0_121,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_274,plain,
    ! [W0_160] :
      ( aElementOf0('#skF_13'(W0_160),xS)
      | ~ aElementOf0(W0_160,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_278,plain,
    ! [W0_160] :
      ( aElementOf0('#skF_13'(W0_160),szNzAzT0)
      | ~ aElementOf0(W0_160,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_274,c_224]) ).

tff(c_1043,plain,
    ! [W0_160,W0_232] :
      ( aElementOf0('#skF_13'(W0_160),W0_232)
      | ~ aSubsetOf0(szNzAzT0,W0_232)
      | ~ aSet0(W0_232)
      | ~ aElementOf0(W0_160,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_278,c_998]) ).

tff(c_136,plain,
    ! [W0_85] :
      ( sdtlseqdt0(W0_85,W0_85)
      | ~ aElementOf0(W0_85,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_273]) ).

tff(c_4461,plain,
    ! [W0_408,W1_409] :
      ( ( szszuzczcdt0(sbrdtbr0(W0_408)) = sbrdtbr0(sdtpldt0(W0_408,W1_409)) )
      | aElementOf0(W1_409,W0_408)
      | ~ aElement0(W1_409)
      | ~ isFinite0(W0_408)
      | ~ aSet0(W0_408) ),
    inference(cnfTransformation,[status(thm)],[f_342]) ).

tff(c_4621,plain,
    ! [W1_409] :
      ( ( sbrdtbr0(sdtpldt0(slcrc0,W1_409)) = szszuzczcdt0(sz00) )
      | aElementOf0(W1_409,slcrc0)
      | ~ aElement0(W1_409)
      | ~ isFinite0(slcrc0)
      | ~ aSet0(slcrc0) ),
    inference(superposition,[status(thm),theory(equality)],[c_242,c_4461]) ).

tff(c_4625,plain,
    ! [W1_409] :
      ( ( sbrdtbr0(sdtpldt0(slcrc0,W1_409)) = szszuzczcdt0(sz00) )
      | aElementOf0(W1_409,slcrc0)
      | ~ aElement0(W1_409) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_4621]) ).

tff(c_4626,plain,
    ! [W1_409] :
      ( ( sbrdtbr0(sdtpldt0(slcrc0,W1_409)) = szszuzczcdt0(sz00) )
      | ~ aElement0(W1_409) ),
    inference(negUnitSimplification,[status(thm)],[c_12,c_4625]) ).

tff(c_24707,plain,
    ! [W0_875,W0_876,W1_877] :
      ( aElementOf0(sbrdtbr0(W0_875),slbdtrb0(W0_876))
      | ~ sdtlseqdt0(sbrdtbr0(sdtpldt0(W0_875,W1_877)),W0_876)
      | ~ aElementOf0(sbrdtbr0(W0_875),szNzAzT0)
      | ~ aElementOf0(W0_876,szNzAzT0)
      | aElementOf0(W1_877,W0_875)
      | ~ aElement0(W1_877)
      | ~ isFinite0(W0_875)
      | ~ aSet0(W0_875) ),
    inference(superposition,[status(thm),theory(equality)],[c_4461,c_234]) ).

tff(c_24713,plain,
    ! [W0_876,W1_409] :
      ( aElementOf0(sbrdtbr0(slcrc0),slbdtrb0(W0_876))
      | ~ sdtlseqdt0(szszuzczcdt0(sz00),W0_876)
      | ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
      | ~ aElementOf0(W0_876,szNzAzT0)
      | aElementOf0(W1_409,slcrc0)
      | ~ aElement0(W1_409)
      | ~ isFinite0(slcrc0)
      | ~ aSet0(slcrc0)
      | ~ aElement0(W1_409) ),
    inference(superposition,[status(thm),theory(equality)],[c_4626,c_24707]) ).

tff(c_24746,plain,
    ! [W0_876,W1_409] :
      ( aElementOf0(sz00,slbdtrb0(W0_876))
      | ~ sdtlseqdt0(szszuzczcdt0(sz00),W0_876)
      | ~ aElementOf0(W0_876,szNzAzT0)
      | aElementOf0(W1_409,slcrc0)
      | ~ aElement0(W1_409) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_110,c_242,c_242,c_24713]) ).

tff(c_24747,plain,
    ! [W0_876,W1_409] :
      ( aElementOf0(sz00,slbdtrb0(W0_876))
      | ~ sdtlseqdt0(szszuzczcdt0(sz00),W0_876)
      | ~ aElementOf0(W0_876,szNzAzT0)
      | ~ aElement0(W1_409) ),
    inference(negUnitSimplification,[status(thm)],[c_12,c_24746]) ).

tff(c_24836,plain,
    ! [W1_409] : ~ aElement0(W1_409),
    inference(splitLeft,[status(thm)],[c_24747]) ).

tff(c_204,plain,
    ! [W0_133,W1_139] :
      ( aElementOf0('#skF_11'(W0_133,W1_139),szNzAzT0)
      | aElementOf0('#skF_12'(W0_133,W1_139),W1_139)
      | ( slbdtrb0(W0_133) = W1_139 )
      | ~ aSet0(W1_139)
      | ~ aElementOf0(W0_133,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_20116,plain,
    ! [W0_778,W1_779] :
      ( sdtlseqdt0(szszuzczcdt0('#skF_11'(W0_778,W1_779)),W0_778)
      | aElementOf0('#skF_12'(W0_778,W1_779),W1_779)
      | ( slbdtrb0(W0_778) = W1_779 )
      | ~ aSet0(W1_779)
      | ~ aElementOf0(W0_778,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_20156,plain,
    ! [W1_779] :
      ( ~ aElementOf0('#skF_11'(sz00,W1_779),szNzAzT0)
      | aElementOf0('#skF_12'(sz00,W1_779),W1_779)
      | ( slbdtrb0(sz00) = W1_779 )
      | ~ aSet0(W1_779)
      | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_20116,c_128]) ).

tff(c_21870,plain,
    ! [W1_825] :
      ( ~ aElementOf0('#skF_11'(sz00,W1_825),szNzAzT0)
      | aElementOf0('#skF_12'(sz00,W1_825),W1_825)
      | ( slcrc0 = W1_825 )
      | ~ aSet0(W1_825) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_208,c_20156]) ).

tff(c_21876,plain,
    ! [W1_139] :
      ( ( slcrc0 = W1_139 )
      | aElementOf0('#skF_12'(sz00,W1_139),W1_139)
      | ( slbdtrb0(sz00) = W1_139 )
      | ~ aSet0(W1_139)
      | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_204,c_21870]) ).

tff(c_21883,plain,
    ! [W1_826] :
      ( aElementOf0('#skF_12'(sz00,W1_826),W1_826)
      | ( slcrc0 = W1_826 )
      | ~ aSet0(W1_826) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_208,c_21876]) ).

tff(c_21945,plain,
    ( aElementOf0('#skF_12'(sz00,xS),szNzAzT0)
    | ( xS = slcrc0 )
    | ~ aSet0(xS) ),
    inference(resolution,[status(thm)],[c_21883,c_224]) ).

tff(c_21980,plain,
    ( aElementOf0('#skF_12'(sz00,xS),szNzAzT0)
    | ( xS = slcrc0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_226,c_21945]) ).

tff(c_21981,plain,
    aElementOf0('#skF_12'(sz00,xS),szNzAzT0),
    inference(negUnitSimplification,[status(thm)],[c_507,c_21980]) ).

tff(c_438,plain,
    ! [W1_185] :
      ( aElementOf0(W1_185,slbdtrb0(szszuzczcdt0(W1_185)))
      | ~ aElementOf0(W1_185,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_450]) ).

tff(c_6,plain,
    ! [W1_5,W0_3] :
      ( aElement0(W1_5)
      | ~ aElementOf0(W1_5,W0_3)
      | ~ aSet0(W0_3) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_719,plain,
    ! [W1_213] :
      ( aElement0(W1_213)
      | ~ aSet0(slbdtrb0(szszuzczcdt0(W1_213)))
      | ~ aElementOf0(W1_213,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_438,c_6]) ).

tff(c_727,plain,
    ! [W1_214] :
      ( aElement0(W1_214)
      | ~ aElementOf0(W1_214,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(W1_214),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_236,c_719]) ).

tff(c_734,plain,
    ! [W0_72] :
      ( aElement0(W0_72)
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_114,c_727]) ).

tff(c_22042,plain,
    aElement0('#skF_12'(sz00,xS)),
    inference(resolution,[status(thm)],[c_21981,c_734]) ).

tff(c_24871,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24836,c_22042]) ).

tff(c_24873,plain,
    ! [W0_879] :
      ( aElementOf0(sz00,slbdtrb0(W0_879))
      | ~ sdtlseqdt0(szszuzczcdt0(sz00),W0_879)
      | ~ aElementOf0(W0_879,szNzAzT0) ),
    inference(splitRight,[status(thm)],[c_24747]) ).

tff(c_24912,plain,
    ( aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00)))
    | ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_136,c_24873]) ).

tff(c_24913,plain,
    ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_24912]) ).

tff(c_24947,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1044,c_24913]) ).

tff(c_24954,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_700,c_24947]) ).

tff(c_24956,plain,
    aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
    inference(splitRight,[status(thm)],[c_24912]) ).

tff(c_24955,plain,
    aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00))),
    inference(splitRight,[status(thm)],[c_24912]) ).

tff(c_132,plain,
    ! [W0_82,W1_83] :
      ( sdtlseqdt0(szszuzczcdt0(W0_82),szszuzczcdt0(W1_83))
      | ~ sdtlseqdt0(W0_82,W1_83)
      | ~ aElementOf0(W1_83,szNzAzT0)
      | ~ aElementOf0(W0_82,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_134454,plain,
    ! [W0_1928,W1_1929,W0_1930] :
      ( sdtlseqdt0(W0_1928,szszuzczcdt0(W1_1929))
      | ~ sdtlseqdt0(W0_1928,szszuzczcdt0(W0_1930))
      | ~ aElementOf0(szszuzczcdt0(W1_1929),szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(W0_1930),szNzAzT0)
      | ~ aElementOf0(W0_1928,szNzAzT0)
      | ~ sdtlseqdt0(W0_1930,W1_1929)
      | ~ aElementOf0(W1_1929,szNzAzT0)
      | ~ aElementOf0(W0_1930,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_132,c_18750]) ).

tff(c_134978,plain,
    ! [W1_1932,W1_1933,W0_1934] :
      ( sdtlseqdt0(szszuzczcdt0(W1_1932),szszuzczcdt0(W1_1933))
      | ~ aElementOf0(szszuzczcdt0(W1_1933),szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(W1_1932),szNzAzT0)
      | ~ sdtlseqdt0(W0_1934,W1_1933)
      | ~ aElementOf0(W1_1933,szNzAzT0)
      | ~ aElementOf0(W0_1934,szNzAzT0)
      | ~ aElementOf0(W1_1932,slbdtrb0(szszuzczcdt0(W0_1934)))
      | ~ aElementOf0(szszuzczcdt0(W0_1934),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_134454]) ).

tff(c_135122,plain,
    ! [W1_1932] :
      ( sdtlseqdt0(szszuzczcdt0(W1_1932),szszuzczcdt0(szmzazxdt0(xS)))
      | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(W1_1932),szNzAzT0)
      | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(W1_1932,slbdtrb0(szszuzczcdt0(sz00)))
      | ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_66724,c_134978]) ).

tff(c_248395,plain,
    ! [W1_2588] :
      ( sdtlseqdt0(szszuzczcdt0(W1_2588),szszuzczcdt0(szmzazxdt0(xS)))
      | ~ aElementOf0(szszuzczcdt0(W1_2588),szNzAzT0)
      | ~ aElementOf0(W1_2588,slbdtrb0(szszuzczcdt0(sz00))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24956,c_110,c_949,c_67471,c_135122]) ).

tff(c_24872,plain,
    ! [W0_876] :
      ( aElementOf0(sz00,slbdtrb0(W0_876))
      | ~ sdtlseqdt0(szszuzczcdt0(sz00),W0_876)
      | ~ aElementOf0(W0_876,szNzAzT0) ),
    inference(splitRight,[status(thm)],[c_24747]) ).

tff(c_248464,plain,
    ( aElementOf0(sz00,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
    | ~ aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00))) ),
    inference(resolution,[status(thm)],[c_248395,c_24872]) ).

tff(c_248575,plain,
    aElementOf0(sz00,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(demodulation,[status(thm),theory(equality)],[c_24955,c_24956,c_67471,c_248464]) ).

tff(c_142,plain,
    ! [W1_92,W0_91] :
      ( sdtlseqdt0(szszuzczcdt0(W1_92),W0_91)
      | sdtlseqdt0(W0_91,W1_92)
      | ~ aElementOf0(W1_92,szNzAzT0)
      | ~ aElementOf0(W0_91,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_74523,plain,
    ! [W0_1508,W0_1509,W1_1510] :
      ( sdtlseqdt0(W0_1508,W0_1509)
      | ~ sdtlseqdt0(W0_1508,szszuzczcdt0(W1_1510))
      | ~ aElementOf0(szszuzczcdt0(W1_1510),szNzAzT0)
      | ~ aElementOf0(W0_1508,szNzAzT0)
      | sdtlseqdt0(W0_1509,W1_1510)
      | ~ aElementOf0(W1_1510,szNzAzT0)
      | ~ aElementOf0(W0_1509,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_142,c_18750]) ).

tff(c_74809,plain,
    ! [W1_152,W0_1509,W1_1510] :
      ( sdtlseqdt0(szszuzczcdt0(W1_152),W0_1509)
      | ~ aElementOf0(szszuzczcdt0(W1_152),szNzAzT0)
      | sdtlseqdt0(W0_1509,W1_1510)
      | ~ aElementOf0(W1_1510,szNzAzT0)
      | ~ aElementOf0(W0_1509,szNzAzT0)
      | ~ aElementOf0(W1_152,slbdtrb0(szszuzczcdt0(W1_1510)))
      | ~ aElementOf0(szszuzczcdt0(W1_1510),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_74523]) ).

tff(c_248611,plain,
    ! [W0_1509] :
      ( sdtlseqdt0(szszuzczcdt0(sz00),W0_1509)
      | ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
      | sdtlseqdt0(W0_1509,szmzazxdt0(xS))
      | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
      | ~ aElementOf0(W0_1509,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_248575,c_74809]) ).

tff(c_250256,plain,
    ! [W0_2604] :
      ( sdtlseqdt0(szszuzczcdt0(sz00),W0_2604)
      | sdtlseqdt0(W0_2604,szmzazxdt0(xS))
      | ~ aElementOf0(W0_2604,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67471,c_949,c_24956,c_248611]) ).

tff(c_3168,plain,
    ! [W0_343,W1_344] :
      ( sdtlseqdt0(szszuzczcdt0(W0_343),szszuzczcdt0(W1_344))
      | ~ sdtlseqdt0(W0_343,W1_344)
      | ~ aElementOf0(W1_344,szNzAzT0)
      | ~ aElementOf0(W0_343,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_3292,plain,
    ! [W0_353,W1_354] :
      ( aElementOf0(W0_353,slbdtrb0(szszuzczcdt0(W1_354)))
      | ~ aElementOf0(szszuzczcdt0(W1_354),szNzAzT0)
      | ~ sdtlseqdt0(W0_353,W1_354)
      | ~ aElementOf0(W1_354,szNzAzT0)
      | ~ aElementOf0(W0_353,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3168,c_234]) ).

tff(c_230,plain,
    ! [W0_149] :
      ( ~ aElementOf0('#skF_13'(W0_149),slbdtrb0(W0_149))
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_3327,plain,
    ! [W1_354] :
      ( ~ aElementOf0(szszuzczcdt0(W1_354),szNzAzT0)
      | ~ sdtlseqdt0('#skF_13'(szszuzczcdt0(W1_354)),W1_354)
      | ~ aElementOf0(W1_354,szNzAzT0)
      | ~ aElementOf0('#skF_13'(szszuzczcdt0(W1_354)),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3292,c_230]) ).

tff(c_250519,plain,
    ( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | sdtlseqdt0(szszuzczcdt0(sz00),'#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_250256,c_3327]) ).

tff(c_250730,plain,
    ( sdtlseqdt0(szszuzczcdt0(sz00),'#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_949,c_67471,c_250519]) ).

tff(c_258466,plain,
    ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_250730]) ).

tff(c_258475,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1043,c_258466]) ).

tff(c_258491,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_67471,c_108,c_700,c_258475]) ).

tff(c_258493,plain,
    aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0),
    inference(splitRight,[status(thm)],[c_250730]) ).

tff(c_258538,plain,
    szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) != '#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),
    inference(resolution,[status(thm)],[c_258493,c_122]) ).

tff(c_258492,plain,
    sdtlseqdt0(szszuzczcdt0(sz00),'#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(splitRight,[status(thm)],[c_250730]) ).

tff(c_258780,plain,
    ( aElementOf0(sz00,slbdtrb0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))))
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_258492,c_24872]) ).

tff(c_258802,plain,
    aElementOf0(sz00,slbdtrb0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))),
    inference(demodulation,[status(thm),theory(equality)],[c_258493,c_258780]) ).

tff(c_43110,plain,
    ! [W0_72,W0_1200] :
      ( sdtlseqdt0(W0_72,W0_1200)
      | ~ aElementOf0(W0_72,slbdtrb0(W0_1200))
      | ~ aElementOf0(W0_1200,szNzAzT0)
      | ~ aElementOf0(W0_72,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_114,c_43050]) ).

tff(c_258820,plain,
    ( sdtlseqdt0(sz00,'#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
    | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_258802,c_43110]) ).

tff(c_258845,plain,
    sdtlseqdt0(sz00,'#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_258493,c_258820]) ).

tff(c_258863,plain,
    ! [W0_88] :
      ( sdtlseqdt0(W0_88,'#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))
      | ~ sdtlseqdt0(W0_88,sz00)
      | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(W0_88,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_258845,c_140]) ).

tff(c_260907,plain,
    ! [W0_2675] :
      ( sdtlseqdt0(W0_2675,'#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))
      | ~ sdtlseqdt0(W0_2675,sz00)
      | ~ aElementOf0(W0_2675,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_258493,c_258863]) ).

tff(c_261041,plain,
    ( ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = '#skF_13'(szszuzczcdt0(szmzazxdt0(xS))) )
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),sz00)
    | ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_260907,c_2430]) ).

tff(c_261157,plain,
    ( ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = '#skF_13'(szszuzczcdt0(szmzazxdt0(xS))) )
    | ~ sdtlseqdt0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),sz00)
    | ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_258493,c_261041]) ).

tff(c_261158,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),sz00)
    | ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0) ),
    inference(negUnitSimplification,[status(thm)],[c_258538,c_261157]) ).

tff(c_274099,plain,
    ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0),
    inference(splitLeft,[status(thm)],[c_261158]) ).

tff(c_274108,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSet0(szNzAzT0)
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_1044,c_274099]) ).

tff(c_274121,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_258493,c_108,c_700,c_274108]) ).

tff(c_274123,plain,
    aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0),
    inference(splitRight,[status(thm)],[c_261158]) ).

tff(c_2047,plain,
    ! [W1_295,W0_296] :
      ( aElementOf0(W1_295,slbdtrb0(W0_296))
      | sdtlseqdt0(W0_296,W1_295)
      | ~ aElementOf0(W1_295,szNzAzT0)
      | ~ aElementOf0(W0_296,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_2025,c_234]) ).

tff(c_2075,plain,
    ! [W0_296] :
      ( sdtlseqdt0(W0_296,'#skF_13'(W0_296))
      | ~ aElementOf0('#skF_13'(W0_296),szNzAzT0)
      | ~ aElementOf0(W0_296,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_2047,c_230]) ).

tff(c_57424,plain,
    ! [W0_1346,W0_1347] :
      ( sdtlseqdt0(W0_1346,'#skF_13'(W0_1347))
      | ~ sdtlseqdt0(W0_1346,W0_1347)
      | ~ aElementOf0(W0_1346,szNzAzT0)
      | ~ aElementOf0('#skF_13'(W0_1347),szNzAzT0)
      | ~ aElementOf0(W0_1347,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_2075,c_18750]) ).

tff(c_57510,plain,
    ! [W1_152,W0_1347] :
      ( aElementOf0(W1_152,slbdtrb0('#skF_13'(W0_1347)))
      | ~ aElementOf0(W1_152,szNzAzT0)
      | ~ sdtlseqdt0(szszuzczcdt0(W1_152),W0_1347)
      | ~ aElementOf0(szszuzczcdt0(W1_152),szNzAzT0)
      | ~ aElementOf0('#skF_13'(W0_1347),szNzAzT0)
      | ~ aElementOf0(W0_1347,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_57424,c_234]) ).

tff(c_258539,plain,
    szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) != sz00,
    inference(resolution,[status(thm)],[c_258493,c_112]) ).

tff(c_118,plain,
    ! [W0_75] :
      ( ( szszuzczcdt0('#skF_7'(W0_75)) = W0_75 )
      | ( sz00 = W0_75 )
      | ~ aElementOf0(W0_75,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_617,plain,
    ! [W0_206] :
      ( aElementOf0('#skF_7'(W0_206),szNzAzT0)
      | ( sz00 = W0_206 )
      | ~ aElementOf0(W0_206,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_879,plain,
    ! [W0_226] :
      ( ( szszuzczcdt0('#skF_7'(W0_226)) != '#skF_7'(W0_226) )
      | ( sz00 = W0_226 )
      | ~ aElementOf0(W0_226,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_617,c_122]) ).

tff(c_882,plain,
    ! [W0_75] :
      ( ( '#skF_7'(W0_75) != W0_75 )
      | ( sz00 = W0_75 )
      | ~ aElementOf0(W0_75,szNzAzT0)
      | ( sz00 = W0_75 )
      | ~ aElementOf0(W0_75,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_879]) ).

tff(c_274135,plain,
    ( ( '#skF_7'(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) != szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) )
    | ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = sz00 )
    | ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_274123,c_882]) ).

tff(c_274166,plain,
    ( ( '#skF_7'(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) != szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) )
    | ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = sz00 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_274123,c_274135]) ).

tff(c_274167,plain,
    '#skF_7'(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) != szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(negUnitSimplification,[status(thm)],[c_258539,c_274166]) ).

tff(c_3195,plain,
    ! [W0_343,W1_344] :
      ( aElementOf0(W0_343,slbdtrb0(szszuzczcdt0(W1_344)))
      | ~ aElementOf0(szszuzczcdt0(W1_344),szNzAzT0)
      | ~ sdtlseqdt0(W0_343,W1_344)
      | ~ aElementOf0(W1_344,szNzAzT0)
      | ~ aElementOf0(W0_343,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3168,c_234]) ).

tff(c_2746,plain,
    ! [W0_328,W1_329] :
      ( sdtlseqdt0(W0_328,W1_329)
      | ~ sdtlseqdt0(szszuzczcdt0(W0_328),szszuzczcdt0(W1_329))
      | ~ aElementOf0(W1_329,szNzAzT0)
      | ~ aElementOf0(W0_328,szNzAzT0) ),
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_47363,plain,
    ! [W0_1238,W0_1239] :
      ( sdtlseqdt0(W0_1238,'#skF_7'(W0_1239))
      | ~ sdtlseqdt0(szszuzczcdt0(W0_1238),W0_1239)
      | ~ aElementOf0('#skF_7'(W0_1239),szNzAzT0)
      | ~ aElementOf0(W0_1238,szNzAzT0)
      | ( sz00 = W0_1239 )
      | ~ aElementOf0(W0_1239,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_2746]) ).

tff(c_47584,plain,
    ! [W1_152,W0_149] :
      ( sdtlseqdt0(W1_152,'#skF_7'(W0_149))
      | ~ aElementOf0('#skF_7'(W0_149),szNzAzT0)
      | ~ aElementOf0(W1_152,szNzAzT0)
      | ( sz00 = W0_149 )
      | ~ aElementOf0(W1_152,slbdtrb0(W0_149))
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_47363]) ).

tff(c_583,plain,
    ! [W0_201] :
      ( sdtlseqdt0('#skF_7'(W0_201),W0_201)
      | ~ aElementOf0('#skF_7'(W0_201),szNzAzT0)
      | ( sz00 = W0_201 )
      | ~ aElementOf0(W0_201,szNzAzT0) ),
    inference(superposition,[status(thm),theory(equality)],[c_562,c_134]) ).

tff(c_321781,plain,
    ! [W0_2906] :
      ( ( '#skF_7'(W0_2906) = W0_2906 )
      | ~ sdtlseqdt0(W0_2906,'#skF_7'(W0_2906))
      | ~ aElementOf0('#skF_7'(W0_2906),szNzAzT0)
      | ( sz00 = W0_2906 )
      | ~ aElementOf0(W0_2906,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_583,c_2389]) ).

tff(c_325087,plain,
    ! [W0_2915] :
      ( ( '#skF_7'(W0_2915) = W0_2915 )
      | ~ aElementOf0('#skF_7'(W0_2915),szNzAzT0)
      | ( sz00 = W0_2915 )
      | ~ aElementOf0(W0_2915,slbdtrb0(W0_2915))
      | ~ aElementOf0(W0_2915,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_47584,c_321781]) ).

tff(c_329325,plain,
    ! [W0_2928] :
      ( ( '#skF_7'(W0_2928) = W0_2928 )
      | ~ aElementOf0(W0_2928,slbdtrb0(W0_2928))
      | ( sz00 = W0_2928 )
      | ~ aElementOf0(W0_2928,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_120,c_325087]) ).

tff(c_330448,plain,
    ! [W1_2930] :
      ( ( '#skF_7'(szszuzczcdt0(W1_2930)) = szszuzczcdt0(W1_2930) )
      | ( szszuzczcdt0(W1_2930) = sz00 )
      | ~ sdtlseqdt0(szszuzczcdt0(W1_2930),W1_2930)
      | ~ aElementOf0(W1_2930,szNzAzT0)
      | ~ aElementOf0(szszuzczcdt0(W1_2930),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_3195,c_329325]) ).

tff(c_332015,plain,
    ! [W0_2933] :
      ( ( '#skF_7'(szszuzczcdt0(W0_2933)) = szszuzczcdt0(W0_2933) )
      | ( szszuzczcdt0(W0_2933) = sz00 )
      | ~ aElementOf0(szszuzczcdt0(W0_2933),szNzAzT0)
      | ~ aElementOf0(W0_2933,slbdtrb0(W0_2933))
      | ~ aElementOf0(W0_2933,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_238,c_330448]) ).

tff(c_332022,plain,
    ( ( '#skF_7'(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) = szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) )
    | ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = sz00 )
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),slbdtrb0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))))
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_274123,c_332015]) ).

tff(c_332219,plain,
    ( ( '#skF_7'(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) = szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) )
    | ( szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))) = sz00 )
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),slbdtrb0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_258493,c_332022]) ).

tff(c_332220,plain,
    ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),slbdtrb0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))))),
    inference(negUnitSimplification,[status(thm)],[c_258539,c_274167,c_332219]) ).

tff(c_385060,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szszuzczcdt0(szmzazxdt0(xS)))
    | ~ aElementOf0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szNzAzT0)
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_57510,c_332220]) ).

tff(c_385088,plain,
    ~ sdtlseqdt0(szszuzczcdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS)))),szszuzczcdt0(szmzazxdt0(xS))),
    inference(demodulation,[status(thm),theory(equality)],[c_67471,c_258493,c_274123,c_385060]) ).

tff(c_385142,plain,
    ( ~ sdtlseqdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szmzazxdt0(xS))
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
    inference(resolution,[status(thm)],[c_132,c_385088]) ).

tff(c_385182,plain,
    ~ sdtlseqdt0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),szmzazxdt0(xS)),
    inference(demodulation,[status(thm),theory(equality)],[c_258493,c_949,c_385142]) ).

tff(c_385209,plain,
    ( ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),xS)
    | ( xS = slcrc0 )
    | ~ isFinite0(xS)
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(resolution,[status(thm)],[c_176,c_385182]) ).

tff(c_385230,plain,
    ( ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),xS)
    | ( xS = slcrc0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_222,c_220,c_385209]) ).

tff(c_385231,plain,
    ~ aElementOf0('#skF_13'(szszuzczcdt0(szmzazxdt0(xS))),xS),
    inference(negUnitSimplification,[status(thm)],[c_507,c_385230]) ).

tff(c_385249,plain,
    ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference(resolution,[status(thm)],[c_232,c_385231]) ).

tff(c_385268,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_67471,c_385249]) ).

tff(c_385269,plain,
    xS = slcrc0,
    inference(splitRight,[status(thm)],[c_377]) ).

tff(c_385274,plain,
    ! [W0_149] :
      ( aElementOf0('#skF_13'(W0_149),slcrc0)
      | ~ aElementOf0(W0_149,szNzAzT0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_385269,c_232]) ).

tff(c_385279,plain,
    ! [W0_149] : ~ aElementOf0(W0_149,szNzAzT0),
    inference(negUnitSimplification,[status(thm)],[c_12,c_385274]) ).

tff(c_385295,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_385279,c_110]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 15:09:36 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 215.51/179.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 215.51/179.59  
% 215.51/179.59  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 215.85/179.65  
% 215.85/179.65  Inference rules
% 215.85/179.65  ----------------------
% 215.85/179.65  #Ref     : 2
% 215.85/179.65  #Sup     : 70229
% 215.85/179.65  #Fact    : 10
% 215.85/179.65  #Define  : 0
% 215.85/179.65  #Split   : 306
% 215.85/179.65  #Chain   : 0
% 215.85/179.65  #Close   : 0
% 215.85/179.65  
% 215.85/179.65  Ordering : KBO
% 215.85/179.65  
% 215.85/179.65  Simplification rules
% 215.85/179.65  ----------------------
% 215.85/179.65  #Subsume      : 28431
% 215.85/179.65  #Demod        : 123495
% 215.85/179.65  #Tautology    : 8732
% 215.85/179.65  #SimpNegUnit  : 10958
% 215.85/179.65  #BackRed      : 556
% 215.85/179.65  
% 215.85/179.65  #Partial instantiations: 0
% 215.85/179.65  #Strategies tried      : 1
% 215.85/179.65  
% 215.85/179.65  Timing (in seconds)
% 215.85/179.65  ----------------------
% 215.85/179.66  Preprocessing        : 0.72
% 215.85/179.66  Parsing              : 0.36
% 215.85/179.66  CNF conversion       : 0.06
% 215.85/179.66  Main loop            : 177.82
% 215.85/179.66  Inferencing          : 18.69
% 215.85/179.66  Reduction            : 104.79
% 215.85/179.66  Demodulation         : 87.65
% 215.85/179.66  BG Simplification    : 0.64
% 215.85/179.66  Subsumption          : 45.20
% 215.85/179.66  Abstraction          : 1.46
% 215.85/179.66  MUC search           : 0.00
% 215.85/179.66  Cooper               : 0.00
% 215.85/179.66  Total                : 178.65
% 215.85/179.66  Index Insertion      : 0.00
% 215.85/179.66  Index Deletion       : 0.00
% 215.85/179.66  Index Matching       : 0.00
% 215.85/179.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------