TSTP Solution File: SEU571^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU571^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VIbAVeDTtI true

% Computer : n004.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 : Thu Aug 31 19:13:59 EDT 2023

% Result   : Theorem 1.41s 0.96s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  150
% Syntax   : Number of formulae    :  160 (  54 unt;  96 typ;   0 def)
%            Number of atoms       :  669 ( 120 equ;   0 cnn)
%            Maximal formula atoms :  118 (  10 avg)
%            Number of connectives : 1234 (  45   ~;  19   |;   0   &; 671   @)
%                                         (   6 <=>; 493  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   97 (  95 usr;  91 con; 0-3 aty)
%            Number of variables   :  325 (   0   ^; 325   !;   0   ?; 325   :)

% Comments : 
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
    setadjoinAx: $o ).

thf(notdexE_type,type,
    notdexE: $o ).

thf(setunionAx_type,type,
    setunionAx: $o ).

thf(powersetE_type,type,
    powersetE: $o ).

thf(omegaSAx_type,type,
    omegaSAx: $o ).

thf(exuI1_type,type,
    exuI1: $o ).

thf(exuI2_type,type,
    exuI2: $o ).

thf(notequalI2_type,type,
    notequalI2: $o ).

thf(powerset__Cong_type,type,
    powerset__Cong: $o ).

thf(wellorderingAx_type,type,
    wellorderingAx: $o ).

thf(setoftrueEq_type,type,
    setoftrueEq: $o ).

thf(emptyset__Cong_type,type,
    emptyset__Cong: $o ).

thf(sk__61_type,type,
    sk__61: $i ).

thf(setext_type,type,
    setext: $o ).

thf(emptyinPowerset_type,type,
    emptyinPowerset: $o ).

thf(descr__Cong_type,type,
    descr__Cong: $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(quantDeMorgan1_type,type,
    quantDeMorgan1: $o ).

thf(setadjoinIR_type,type,
    setadjoinIR: $o ).

thf(setadjoin__Cong_type,type,
    setadjoin__Cong: $o ).

thf(subsetE_type,type,
    subsetE: $o ).

thf(prop2set2propI_type,type,
    prop2set2propI: $o ).

thf(dsetconstrEL_type,type,
    dsetconstrEL: $o ).

thf(setbeta_type,type,
    setbeta: $o ).

thf(eqinunit_type,type,
    eqinunit: $o ).

thf(upairsetIL_type,type,
    upairsetIL: $o ).

thf(powersetAx_type,type,
    powersetAx: $o ).

thf(powersetI_type,type,
    powersetI: $o ).

thf(upairsetIR_type,type,
    upairsetIR: $o ).

thf(inCongP_type,type,
    inCongP: $o ).

thf(sk__63_type,type,
    sk__63: $i > $i > $i ).

thf(exuE3e_type,type,
    exuE3e: $o ).

thf(emptysetE_type,type,
    emptysetE: $o ).

thf(setunionI_type,type,
    setunionI: $o ).

thf(setunion__Cong_type,type,
    setunion__Cong: $o ).

thf(prop2setI_type,type,
    prop2setI: $o ).

thf(nonemptyImpWitness_type,type,
    nonemptyImpWitness: $o ).

thf(exuE2_type,type,
    exuE2: $o ).

thf(emptyset_type,type,
    emptyset: $i ).

thf(subPowSU_type,type,
    subPowSU: $o ).

thf(notequalI1_type,type,
    notequalI1: $o ).

thf(notinemptyset_type,type,
    notinemptyset: $o ).

thf(nonemptyI1_type,type,
    nonemptyI1: $o ).

thf(subsetTrans_type,type,
    subsetTrans: $o ).

thf(subsetE2_type,type,
    subsetE2: $o ).

thf(singletonsswitch_type,type,
    singletonsswitch: $o ).

thf(emptysetsubset_type,type,
    emptysetsubset: $o ).

thf(quantDeMorgan3_type,type,
    quantDeMorgan3: $o ).

thf(setunionE_type,type,
    setunionE: $o ).

thf(emptyinunitempty_type,type,
    emptyinunitempty: $o ).

thf(setadjoinE_type,type,
    setadjoinE: $o ).

thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

thf(exuE1_type,type,
    exuE1: $o ).

thf(notinsingleton_type,type,
    notinsingleton: $o ).

thf(eqimpsubset2_type,type,
    eqimpsubset2: $o ).

thf(exuEu_type,type,
    exuEu: $o ).

thf(emptysetimpfalse_type,type,
    emptysetimpfalse: $o ).

thf(upairsetE_type,type,
    upairsetE: $o ).

thf(omega0Ax_type,type,
    omega0Ax: $o ).

thf(notsubsetI_type,type,
    notsubsetI: $o ).

thf(quantDeMorgan4_type,type,
    quantDeMorgan4: $o ).

thf(setextAx_type,type,
    setextAx: $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(noeltsimpempty_type,type,
    noeltsimpempty: $o ).

thf(subsetI1_type,type,
    subsetI1: $o ).

thf(descrp_type,type,
    descrp: $o ).

thf(dsetconstr__Cong_type,type,
    dsetconstr__Cong: $o ).

thf(foundationAx_type,type,
    foundationAx: $o ).

thf(emptysetAx_type,type,
    emptysetAx: $o ).

thf(emptyI_type,type,
    emptyI: $o ).

thf(setadjoinOr_type,type,
    setadjoinOr: $o ).

thf(emptyE1_type,type,
    emptyE1: $o ).

thf(emptyInPowerset_type,type,
    emptyInPowerset: $o ).

thf(vacuousDall_type,type,
    vacuousDall: $o ).

thf(dsetconstrER_type,type,
    dsetconstrER: $o ).

thf(sk__62_type,type,
    sk__62: $i ).

thf(subsetI2_type,type,
    subsetI2: $o ).

thf(omega__Cong_type,type,
    omega__Cong: $o ).

thf(subsetRefl_type,type,
    subsetRefl: $o ).

thf(uniqinunit_type,type,
    uniqinunit: $o ).

thf(prop2setE_type,type,
    prop2setE: $o ).

thf(nonemptyI_type,type,
    nonemptyI: $o ).

thf(exuE3u_type,type,
    exuE3u: $o ).

thf(eqimpsubset1_type,type,
    eqimpsubset1: $o ).

thf(exuI3_type,type,
    exuI3: $o ).

thf(notdallE_type,type,
    notdallE: $o ).

thf(dsetconstrI_type,type,
    dsetconstrI: $o ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(exu__Cong_type,type,
    exu__Cong: $o ).

thf(quantDeMorgan2_type,type,
    quantDeMorgan2: $o ).

thf(replAx_type,type,
    replAx: $o ).

thf(nonemptyE1_type,type,
    nonemptyE1: $o ).

thf(omegaIndAx_type,type,
    omegaIndAx: $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(in__Cong_type,type,
    in__Cong: $o ).

thf(subsetTrans,axiom,
    ( subsetTrans
    = ( ! [A: $i,B: $i,C: $i] :
          ( ( subset @ A @ B )
         => ( ( subset @ B @ C )
           => ( subset @ A @ C ) ) ) ) ) ).

thf('0',plain,
    ( subsetTrans
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( subset @ X6 @ X8 )
           => ( subset @ X4 @ X8 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetRefl,axiom,
    ( subsetRefl
    = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).

thf('1',plain,
    ( subsetRefl
    = ( ! [X4: $i] : ( subset @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(notequalI1,axiom,
    ( notequalI1
    = ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
         => ( A != B ) ) ) ) ).

thf('2',plain,
    ( notequalI1
    = ( ! [X4: $i,X6: $i] :
          ( ~ ( subset @ X4 @ X6 )
         => ( X4 != X6 ) ) ) ),
    define([status(thm)]) ).

thf(notsubsetI,axiom,
    ( notsubsetI
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ~ ( in @ Xx @ B )
           => ~ ( subset @ A @ B ) ) ) ) ) ).

thf('3',plain,
    ( notsubsetI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ~ ( in @ X8 @ X6 )
           => ~ ( subset @ X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetE2,axiom,
    ( subsetE2
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ~ ( in @ Xx @ B )
           => ~ ( in @ Xx @ A ) ) ) ) ) ).

thf('4',plain,
    ( subsetE2
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ~ ( in @ X8 @ X6 )
           => ~ ( in @ X8 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetE,axiom,
    ( subsetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) ) ) ).

thf('5',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(emptysetsubset,axiom,
    ( emptysetsubset
    = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).

thf('6',plain,
    ( emptysetsubset
    = ( ! [X4: $i] : ( subset @ emptyset @ X4 ) ) ),
    define([status(thm)]) ).

thf(subsetI2,axiom,
    ( subsetI2
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('7',plain,
    ( subsetI2
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(eqimpsubset1,axiom,
    ( eqimpsubset1
    = ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( subset @ A @ B ) ) ) ) ).

thf('8',plain,
    ( eqimpsubset1
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(eqimpsubset2,axiom,
    ( eqimpsubset2
    = ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ( subset @ B @ A ) ) ) ) ).

thf('9',plain,
    ( eqimpsubset2
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ( subset @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(subsetI1,axiom,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('10',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoin__Cong,axiom,
    ( setadjoin__Cong
    = ( ! [Xx: $i,Xy: $i] :
          ( ( Xx = Xy )
         => ! [Xz: $i,Xu: $i] :
              ( ( Xz = Xu )
             => ( ( setadjoin @ Xx @ Xz )
                = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).

thf('11',plain,
    ( setadjoin__Cong
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ! [X8: $i,X10: $i] :
              ( ( X8 = X10 )
             => ( ( setadjoin @ X4 @ X8 )
                = ( setadjoin @ X6 @ X10 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(upairsetIR,axiom,
    ( upairsetIR
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).

thf('12',plain,
    ( upairsetIR
    = ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(upairsetIL,axiom,
    ( upairsetIL
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).

thf('13',plain,
    ( upairsetIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(upairsetE,axiom,
    ( upairsetE
    = ( ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
         => ( ( Xz = Xx )
            | ( Xz = Xy ) ) ) ) ) ).

thf('14',plain,
    ( upairsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
         => ( ( X8 = X4 )
            | ( X8 = X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(singletonsswitch,axiom,
    ( singletonsswitch
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).

thf('15',plain,
    ( singletonsswitch
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(eqinunit,axiom,
    ( eqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( Xx = Xy )
         => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).

thf('16',plain,
    ( eqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(notinsingleton,axiom,
    ( notinsingleton
    = ( ! [Xx: $i,Xy: $i] :
          ( ( Xx != Xy )
         => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).

thf('17',plain,
    ( notinsingleton
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 != X6 )
         => ~ ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

thf('18',plain,
    ( uniqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinOr,axiom,
    ( setadjoinOr
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
         => ( ( Xy = Xx )
            | ( in @ Xy @ A ) ) ) ) ) ).

thf('19',plain,
    ( setadjoinOr
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
         => ( ( X8 = X4 )
            | ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinE,axiom,
    ( setadjoinE
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
         => ! [Xphi: $o] :
              ( ( ( Xy = Xx )
               => Xphi )
             => ( ( ( in @ Xy @ A )
                 => Xphi )
               => Xphi ) ) ) ) ) ).

thf('20',plain,
    ( setadjoinE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( X8 = X4 )
               => X10 )
             => ( ( ( in @ X8 @ X6 )
                 => X10 )
               => X10 ) ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinIR,axiom,
    ( setadjoinIR
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ A )
         => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).

thf('21',plain,
    ( setadjoinIR
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X6 )
         => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(emptyinunitempty,axiom,
    ( emptyinunitempty
    = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).

thf('22',plain,
    ( emptyinunitempty
    = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
    inference(simplify_rw_rule,[status(thm)],[emptyinunitempty]) ).

thf('23',plain,
    ( emptyinunitempty
    = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
    define([status(thm)]) ).

thf(setadjoinIL,axiom,
    ( setadjoinIL
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).

thf('24',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinAx,axiom,
    ( setadjoinAx
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
        <=> ( ( Xy = Xx )
            | ( in @ Xy @ A ) ) ) ) ) ).

thf('25',plain,
    ( setadjoinAx
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
        <=> ( ( X8 = X4 )
            | ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinSub,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( subsetI1
                                                                                                                                                         => ( eqimpsubset2
                                                                                                                                                           => ( eqimpsubset1
                                                                                                                                                             => ( subsetI2
                                                                                                                                                               => ( emptysetsubset
                                                                                                                                                                 => ( subsetE
                                                                                                                                                                   => ( subsetE2
                                                                                                                                                                     => ( notsubsetI
                                                                                                                                                                       => ( notequalI1
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( subsetRefl
                                                                                                                                                                             => ( subsetTrans
                                                                                                                                                                               => ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( ! [X4: $i,X6: $i,X8: $i] :
            ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
          <=> ( ( in @ X8 @ X6 )
              | ( X8 = X4 ) ) )
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( ! [X10: $i,X12: $i] : ( in @ X10 @ ( setadjoin @ X10 @ X12 ) )
                                                           => ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
                                                             => ( ! [X14: $i,X16: $i,X18: $i] :
                                                                    ( ( in @ X18 @ X16 )
                                                                   => ( in @ X18 @ ( setadjoin @ X14 @ X16 ) ) )
                                                               => ( ! [X20: $i,X22: $i,X24: $i] :
                                                                      ( ( in @ X24 @ ( setadjoin @ X20 @ X22 ) )
                                                                     => ! [X26: $o] :
                                                                          ( ( ( X24 = X20 )
                                                                           => X26 )
                                                                         => ( ( ( in @ X24 @ X22 )
                                                                             => X26 )
                                                                           => X26 ) ) )
                                                                 => ( ! [X28: $i,X30: $i,X32: $i] :
                                                                        ( ( in @ X32 @ ( setadjoin @ X28 @ X30 ) )
                                                                       => ( ( in @ X32 @ X30 )
                                                                          | ( X32 = X28 ) ) )
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( ! [X34: $i,X36: $i] :
                                                                                              ( ( in @ X34 @ ( setadjoin @ X36 @ emptyset ) )
                                                                                             => ( X34 = X36 ) )
                                                                                         => ( ! [X38: $i,X40: $i] :
                                                                                                ( ( X38 != X40 )
                                                                                               => ~ ( in @ X40 @ ( setadjoin @ X38 @ emptyset ) ) )
                                                                                           => ( ! [X42: $i,X44: $i] :
                                                                                                  ( ( X42 = X44 )
                                                                                                 => ( in @ X42 @ ( setadjoin @ X44 @ emptyset ) ) )
                                                                                             => ( ! [X46: $i,X48: $i] :
                                                                                                    ( ( in @ X46 @ ( setadjoin @ X48 @ emptyset ) )
                                                                                                   => ( in @ X48 @ ( setadjoin @ X46 @ emptyset ) ) )
                                                                                               => ( ! [X50: $i,X52: $i,X54: $i] :
                                                                                                      ( ( in @ X54 @ ( setadjoin @ X50 @ ( setadjoin @ X52 @ emptyset ) ) )
                                                                                                     => ( ( X54 = X52 )
                                                                                                        | ( X54 = X50 ) ) )
                                                                                                 => ( ! [X56: $i,X58: $i] : ( in @ X56 @ ( setadjoin @ X56 @ ( setadjoin @ X58 @ emptyset ) ) )
                                                                                                   => ( ! [X60: $i,X62: $i] : ( in @ X62 @ ( setadjoin @ X60 @ ( setadjoin @ X62 @ emptyset ) ) )
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( ! [X64: $i,X66: $i] :
                                                                                                                                                ( ( X64 = X66 )
                                                                                                                                               => ! [X68: $i,X70: $i] :
                                                                                                                                                    ( ( X68 = X70 )
                                                                                                                                                   => ( ( setadjoin @ X64 @ X68 )
                                                                                                                                                      = ( setadjoin @ X66 @ X70 ) ) ) )
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( ! [X72: $i,X74: $i] :
                                                                                                                                                              ( ! [X76: $i] :
                                                                                                                                                                  ( ( in @ X76 @ X72 )
                                                                                                                                                                 => ( in @ X76 @ X74 ) )
                                                                                                                                                             => ( subset @ X72 @ X74 ) )
                                                                                                                                                         => ( ! [X78: $i,X80: $i] :
                                                                                                                                                                ( ( X78 = X80 )
                                                                                                                                                               => ( subset @ X80 @ X78 ) )
                                                                                                                                                           => ( ! [X82: $i,X84: $i] :
                                                                                                                                                                  ( ( X82 = X84 )
                                                                                                                                                                 => ( subset @ X82 @ X84 ) )
                                                                                                                                                             => ( ! [X86: $i,X88: $i] :
                                                                                                                                                                    ( ! [X90: $i] :
                                                                                                                                                                        ( ( in @ X90 @ X86 )
                                                                                                                                                                       => ( in @ X90 @ X88 ) )
                                                                                                                                                                   => ( subset @ X86 @ X88 ) )
                                                                                                                                                               => ( ! [X92: $i] : ( subset @ emptyset @ X92 )
                                                                                                                                                                 => ( ! [X94: $i,X96: $i,X98: $i] :
                                                                                                                                                                        ( ( subset @ X94 @ X96 )
                                                                                                                                                                       => ( ( in @ X98 @ X94 )
                                                                                                                                                                         => ( in @ X98 @ X96 ) ) )
                                                                                                                                                                   => ( ! [X100: $i,X102: $i,X104: $i] :
                                                                                                                                                                          ( ( subset @ X100 @ X102 )
                                                                                                                                                                         => ( ~ ( in @ X104 @ X102 )
                                                                                                                                                                           => ~ ( in @ X104 @ X100 ) ) )
                                                                                                                                                                     => ( ! [X106: $i,X108: $i,X110: $i] :
                                                                                                                                                                            ( ( in @ X110 @ X106 )
                                                                                                                                                                           => ( ~ ( in @ X110 @ X108 )
                                                                                                                                                                             => ~ ( subset @ X106 @ X108 ) ) )
                                                                                                                                                                       => ( ! [X112: $i,X114: $i] :
                                                                                                                                                                              ( ~ ( subset @ X112 @ X114 )
                                                                                                                                                                             => ( X112 != X114 ) )
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( ! [X116: $i] : ( subset @ X116 @ X116 )
                                                                                                                                                                             => ( ! [X118: $i,X120: $i,X122: $i] :
                                                                                                                                                                                    ( ( subset @ X118 @ X120 )
                                                                                                                                                                                   => ( ( subset @ X120 @ X122 )
                                                                                                                                                                                     => ( subset @ X118 @ X122 ) ) )
                                                                                                                                                                               => ! [X124: $i,X126: $i] : ( subset @ X126 @ ( setadjoin @ X124 @ X126 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [X8: $i,X6: $i,X4: $i] :
      ( ( zip_tseitin_0 @ X8 @ X6 @ X4 )
    <=> ( ( X8 = X4 )
        | ( in @ X8 @ X6 ) ) ) ).

thf(zf_stmt_3,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( ! [X4: $i,X6: $i,X8: $i] :
            ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
          <=> ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( ! [X10: $i,X12: $i] : ( in @ X10 @ ( setadjoin @ X10 @ X12 ) )
                                                           => ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
                                                             => ( ! [X14: $i,X16: $i,X18: $i] :
                                                                    ( ( in @ X18 @ X16 )
                                                                   => ( in @ X18 @ ( setadjoin @ X14 @ X16 ) ) )
                                                               => ( ! [X20: $i,X22: $i,X24: $i] :
                                                                      ( ( in @ X24 @ ( setadjoin @ X20 @ X22 ) )
                                                                     => ! [X26: $o] :
                                                                          ( ( ( X24 = X20 )
                                                                           => X26 )
                                                                         => ( ( ( in @ X24 @ X22 )
                                                                             => X26 )
                                                                           => X26 ) ) )
                                                                 => ( ! [X28: $i,X30: $i,X32: $i] :
                                                                        ( ( in @ X32 @ ( setadjoin @ X28 @ X30 ) )
                                                                       => ( ( X32 = X28 )
                                                                          | ( in @ X32 @ X30 ) ) )
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( ! [X34: $i,X36: $i] :
                                                                                              ( ( in @ X34 @ ( setadjoin @ X36 @ emptyset ) )
                                                                                             => ( X34 = X36 ) )
                                                                                         => ( ! [X38: $i,X40: $i] :
                                                                                                ( ( X38 != X40 )
                                                                                               => ~ ( in @ X40 @ ( setadjoin @ X38 @ emptyset ) ) )
                                                                                           => ( ! [X42: $i,X44: $i] :
                                                                                                  ( ( X42 = X44 )
                                                                                                 => ( in @ X42 @ ( setadjoin @ X44 @ emptyset ) ) )
                                                                                             => ( ! [X46: $i,X48: $i] :
                                                                                                    ( ( in @ X46 @ ( setadjoin @ X48 @ emptyset ) )
                                                                                                   => ( in @ X48 @ ( setadjoin @ X46 @ emptyset ) ) )
                                                                                               => ( ! [X50: $i,X52: $i,X54: $i] :
                                                                                                      ( ( in @ X54 @ ( setadjoin @ X50 @ ( setadjoin @ X52 @ emptyset ) ) )
                                                                                                     => ( ( X54 = X50 )
                                                                                                        | ( X54 = X52 ) ) )
                                                                                                 => ( ! [X56: $i,X58: $i] : ( in @ X56 @ ( setadjoin @ X56 @ ( setadjoin @ X58 @ emptyset ) ) )
                                                                                                   => ( ! [X60: $i,X62: $i] : ( in @ X62 @ ( setadjoin @ X60 @ ( setadjoin @ X62 @ emptyset ) ) )
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( ! [X64: $i,X66: $i] :
                                                                                                                                                ( ( X64 = X66 )
                                                                                                                                               => ! [X68: $i,X70: $i] :
                                                                                                                                                    ( ( X68 = X70 )
                                                                                                                                                   => ( ( setadjoin @ X64 @ X68 )
                                                                                                                                                      = ( setadjoin @ X66 @ X70 ) ) ) )
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( ! [X72: $i,X74: $i] :
                                                                                                                                                              ( ! [X76: $i] :
                                                                                                                                                                  ( ( in @ X76 @ X72 )
                                                                                                                                                                 => ( in @ X76 @ X74 ) )
                                                                                                                                                             => ( subset @ X72 @ X74 ) )
                                                                                                                                                         => ( ! [X78: $i,X80: $i] :
                                                                                                                                                                ( ( X78 = X80 )
                                                                                                                                                               => ( subset @ X80 @ X78 ) )
                                                                                                                                                           => ( ! [X82: $i,X84: $i] :
                                                                                                                                                                  ( ( X82 = X84 )
                                                                                                                                                                 => ( subset @ X82 @ X84 ) )
                                                                                                                                                             => ( ! [X86: $i,X88: $i] :
                                                                                                                                                                    ( ! [X90: $i] :
                                                                                                                                                                        ( ( in @ X90 @ X86 )
                                                                                                                                                                       => ( in @ X90 @ X88 ) )
                                                                                                                                                                   => ( subset @ X86 @ X88 ) )
                                                                                                                                                               => ( ! [X92: $i] : ( subset @ emptyset @ X92 )
                                                                                                                                                                 => ( ! [X94: $i,X96: $i,X98: $i] :
                                                                                                                                                                        ( ( subset @ X94 @ X96 )
                                                                                                                                                                       => ( ( in @ X98 @ X94 )
                                                                                                                                                                         => ( in @ X98 @ X96 ) ) )
                                                                                                                                                                   => ( ! [X100: $i,X102: $i,X104: $i] :
                                                                                                                                                                          ( ( subset @ X100 @ X102 )
                                                                                                                                                                         => ( ~ ( in @ X104 @ X102 )
                                                                                                                                                                           => ~ ( in @ X104 @ X100 ) ) )
                                                                                                                                                                     => ( ! [X106: $i,X108: $i,X110: $i] :
                                                                                                                                                                            ( ( in @ X110 @ X106 )
                                                                                                                                                                           => ( ~ ( in @ X110 @ X108 )
                                                                                                                                                                             => ~ ( subset @ X106 @ X108 ) ) )
                                                                                                                                                                       => ( ! [X112: $i,X114: $i] :
                                                                                                                                                                              ( ~ ( subset @ X112 @ X114 )
                                                                                                                                                                             => ( X112 != X114 ) )
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( ! [X116: $i] : ( subset @ X116 @ X116 )
                                                                                                                                                                             => ( ! [X118: $i,X120: $i,X122: $i] :
                                                                                                                                                                                    ( ( subset @ X118 @ X120 )
                                                                                                                                                                                   => ( ( subset @ X120 @ X122 )
                                                                                                                                                                                     => ( subset @ X118 @ X122 ) ) )
                                                                                                                                                                               => ! [X124: $i,X126: $i] : ( subset @ X126 @ ( setadjoin @ X124 @ X126 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_4,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( ! [X4: $i,X6: $i,X8: $i] :
              ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
            <=> ( zip_tseitin_0 @ X8 @ X6 @ X4 ) )
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( ! [X10: $i,X12: $i] : ( in @ X10 @ ( setadjoin @ X10 @ X12 ) )
                                                             => ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
                                                               => ( ! [X14: $i,X16: $i,X18: $i] :
                                                                      ( ( in @ X18 @ X16 )
                                                                     => ( in @ X18 @ ( setadjoin @ X14 @ X16 ) ) )
                                                                 => ( ! [X20: $i,X22: $i,X24: $i] :
                                                                        ( ( in @ X24 @ ( setadjoin @ X20 @ X22 ) )
                                                                       => ! [X26: $o] :
                                                                            ( ( ( X24 = X20 )
                                                                             => X26 )
                                                                           => ( ( ( in @ X24 @ X22 )
                                                                               => X26 )
                                                                             => X26 ) ) )
                                                                   => ( ! [X28: $i,X30: $i,X32: $i] :
                                                                          ( ( in @ X32 @ ( setadjoin @ X28 @ X30 ) )
                                                                         => ( ( X32 = X28 )
                                                                            | ( in @ X32 @ X30 ) ) )
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( ! [X34: $i,X36: $i] :
                                                                                                ( ( in @ X34 @ ( setadjoin @ X36 @ emptyset ) )
                                                                                               => ( X34 = X36 ) )
                                                                                           => ( ! [X38: $i,X40: $i] :
                                                                                                  ( ( X38 != X40 )
                                                                                                 => ~ ( in @ X40 @ ( setadjoin @ X38 @ emptyset ) ) )
                                                                                             => ( ! [X42: $i,X44: $i] :
                                                                                                    ( ( X42 = X44 )
                                                                                                   => ( in @ X42 @ ( setadjoin @ X44 @ emptyset ) ) )
                                                                                               => ( ! [X46: $i,X48: $i] :
                                                                                                      ( ( in @ X46 @ ( setadjoin @ X48 @ emptyset ) )
                                                                                                     => ( in @ X48 @ ( setadjoin @ X46 @ emptyset ) ) )
                                                                                                 => ( ! [X50: $i,X52: $i,X54: $i] :
                                                                                                        ( ( in @ X54 @ ( setadjoin @ X50 @ ( setadjoin @ X52 @ emptyset ) ) )
                                                                                                       => ( ( X54 = X50 )
                                                                                                          | ( X54 = X52 ) ) )
                                                                                                   => ( ! [X56: $i,X58: $i] : ( in @ X56 @ ( setadjoin @ X56 @ ( setadjoin @ X58 @ emptyset ) ) )
                                                                                                     => ( ! [X60: $i,X62: $i] : ( in @ X62 @ ( setadjoin @ X60 @ ( setadjoin @ X62 @ emptyset ) ) )
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( ! [X64: $i,X66: $i] :
                                                                                                                                                  ( ( X64 = X66 )
                                                                                                                                                 => ! [X68: $i,X70: $i] :
                                                                                                                                                      ( ( X68 = X70 )
                                                                                                                                                     => ( ( setadjoin @ X64 @ X68 )
                                                                                                                                                        = ( setadjoin @ X66 @ X70 ) ) ) )
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( ! [X72: $i,X74: $i] :
                                                                                                                                                                ( ! [X76: $i] :
                                                                                                                                                                    ( ( in @ X76 @ X72 )
                                                                                                                                                                   => ( in @ X76 @ X74 ) )
                                                                                                                                                               => ( subset @ X72 @ X74 ) )
                                                                                                                                                           => ( ! [X78: $i,X80: $i] :
                                                                                                                                                                  ( ( X78 = X80 )
                                                                                                                                                                 => ( subset @ X80 @ X78 ) )
                                                                                                                                                             => ( ! [X82: $i,X84: $i] :
                                                                                                                                                                    ( ( X82 = X84 )
                                                                                                                                                                   => ( subset @ X82 @ X84 ) )
                                                                                                                                                               => ( ! [X86: $i,X88: $i] :
                                                                                                                                                                      ( ! [X90: $i] :
                                                                                                                                                                          ( ( in @ X90 @ X86 )
                                                                                                                                                                         => ( in @ X90 @ X88 ) )
                                                                                                                                                                     => ( subset @ X86 @ X88 ) )
                                                                                                                                                                 => ( ! [X92: $i] : ( subset @ emptyset @ X92 )
                                                                                                                                                                   => ( ! [X94: $i,X96: $i,X98: $i] :
                                                                                                                                                                          ( ( subset @ X94 @ X96 )
                                                                                                                                                                         => ( ( in @ X98 @ X94 )
                                                                                                                                                                           => ( in @ X98 @ X96 ) ) )
                                                                                                                                                                     => ( ! [X100: $i,X102: $i,X104: $i] :
                                                                                                                                                                            ( ( subset @ X100 @ X102 )
                                                                                                                                                                           => ( ~ ( in @ X104 @ X102 )
                                                                                                                                                                             => ~ ( in @ X104 @ X100 ) ) )
                                                                                                                                                                       => ( ! [X106: $i,X108: $i,X110: $i] :
                                                                                                                                                                              ( ( in @ X110 @ X106 )
                                                                                                                                                                             => ( ~ ( in @ X110 @ X108 )
                                                                                                                                                                               => ~ ( subset @ X106 @ X108 ) ) )
                                                                                                                                                                         => ( ! [X112: $i,X114: $i] :
                                                                                                                                                                                ( ~ ( subset @ X112 @ X114 )
                                                                                                                                                                               => ( X112 != X114 ) )
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( ! [X116: $i] : ( subset @ X116 @ X116 )
                                                                                                                                                                               => ( ! [X118: $i,X120: $i,X122: $i] :
                                                                                                                                                                                      ( ( subset @ X118 @ X120 )
                                                                                                                                                                                     => ( ( subset @ X120 @ X122 )
                                                                                                                                                                                       => ( subset @ X118 @ X122 ) ) )
                                                                                                                                                                                 => ! [X124: $i,X126: $i] : ( subset @ X126 @ ( setadjoin @ X124 @ X126 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl49,plain,
    ~ ( subset @ sk__62 @ ( setadjoin @ sk__61 @ sk__62 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl44,plain,
    ! [X24: $i,X25: $i] :
      ( ( subset @ X24 @ X25 )
      | ( in @ ( sk__63 @ X25 @ X24 ) @ X24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl19,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ( in @ X6 @ ( setadjoin @ X7 @ X8 ) )
      | ~ ( in @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl43,plain,
    ! [X24: $i,X25: $i] :
      ( ( subset @ X24 @ X25 )
      | ~ ( in @ ( sk__63 @ X25 @ X24 ) @ X25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( sk__63 @ ( setadjoin @ X1 @ X0 ) @ X2 ) @ X0 )
      | ( subset @ X2 @ ( setadjoin @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl43]) ).

thf(zip_derived_cl535,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) )
      | ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl235]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl535]) ).

thf(zip_derived_cl559,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl554]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU571^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VIbAVeDTtI true
% 0.13/0.34  % Computer : n004.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  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 17:19:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.37/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.96  % Solved by lams/40_c_ic.sh.
% 1.41/0.96  % done 229 iterations in 0.152s
% 1.41/0.96  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/0.96  % SZS output start Refutation
% See solution above
% 1.41/0.96  
% 1.41/0.96  
% 1.41/0.97  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.41/0.97  % Terminating...
% 1.68/1.17  % Runner terminated.
% 1.68/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------