TSTP Solution File: SEU570^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU570^1 : 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.CFonU4j0Jp true

% Computer : n010.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 19:13:58 EDT 2023

% Result   : Theorem 1.49s 0.87s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  115
% Syntax   : Number of formulae    :  130 (  25 unt;  93 typ;   0 def)
%            Number of atoms       :  404 (  32 equ;   0 cnn)
%            Maximal formula atoms :  102 (  10 avg)
%            Number of connectives :  596 (  35   ~;  11   |;   0   &; 234   @)
%                                         (   0 <=>; 316  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   95 (  93 usr;  91 con; 0-2 aty)
%            Number of variables   :  115 (   0   ^; 115   !;   0   ?; 115   :)

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

thf(sk__25_type,type,
    sk__25: $i ).

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(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(sk__27_type,type,
    sk__27: $i > $i > $i ).

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

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

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

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(sk__26_type,type,
    sk__26: $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(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(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(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(sk__24_type,type,
    sk__24: $i ).

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

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

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

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

thf('1',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('2',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('3',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('4',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('5',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('6',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('7',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('8',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('9',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

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

thf(zf_stmt_0,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
                                                                                                                                                       => ( ! [X4: $i,X6: $i] :
                                                                                                                                                              ( ! [X8: $i] :
                                                                                                                                                                  ( ( in @ X8 @ X4 )
                                                                                                                                                                 => ( in @ X8 @ X6 ) )
                                                                                                                                                             => ( subset @ X4 @ X6 ) )
                                                                                                                                                         => ( ! [X10: $i,X12: $i] :
                                                                                                                                                                ( ( X10 = X12 )
                                                                                                                                                               => ( subset @ X12 @ X10 ) )
                                                                                                                                                           => ( ! [X14: $i,X16: $i] :
                                                                                                                                                                  ( ( X14 = X16 )
                                                                                                                                                                 => ( subset @ X14 @ X16 ) )
                                                                                                                                                             => ( ! [X18: $i,X20: $i] :
                                                                                                                                                                    ( ! [X22: $i] :
                                                                                                                                                                        ( ( in @ X22 @ X18 )
                                                                                                                                                                       => ( in @ X22 @ X20 ) )
                                                                                                                                                                   => ( subset @ X18 @ X20 ) )
                                                                                                                                                               => ( ! [X24: $i] : ( subset @ emptyset @ X24 )
                                                                                                                                                                 => ( ! [X26: $i,X28: $i,X30: $i] :
                                                                                                                                                                        ( ( subset @ X26 @ X28 )
                                                                                                                                                                       => ( ( in @ X30 @ X26 )
                                                                                                                                                                         => ( in @ X30 @ X28 ) ) )
                                                                                                                                                                   => ( ! [X32: $i,X34: $i,X36: $i] :
                                                                                                                                                                          ( ( subset @ X32 @ X34 )
                                                                                                                                                                         => ( ~ ( in @ X36 @ X34 )
                                                                                                                                                                           => ~ ( in @ X36 @ X32 ) ) )
                                                                                                                                                                     => ( ! [X38: $i,X40: $i,X42: $i] :
                                                                                                                                                                            ( ( in @ X42 @ X38 )
                                                                                                                                                                           => ( ~ ( in @ X42 @ X40 )
                                                                                                                                                                             => ~ ( subset @ X38 @ X40 ) ) )
                                                                                                                                                                       => ( ! [X44: $i,X46: $i] :
                                                                                                                                                                              ( ~ ( subset @ X44 @ X46 )
                                                                                                                                                                             => ( X44 != X46 ) )
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( ! [X48: $i] : ( subset @ X48 @ X48 )
                                                                                                                                                                             => ! [X50: $i,X52: $i,X54: $i] :
                                                                                                                                                                                  ( ( subset @ X50 @ X52 )
                                                                                                                                                                                 => ( ( subset @ X52 @ X54 )
                                                                                                                                                                                   => ( subset @ X50 @ X54 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_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
                                                                                                                                                         => ( ! [X4: $i,X6: $i] :
                                                                                                                                                                ( ! [X8: $i] :
                                                                                                                                                                    ( ( in @ X8 @ X4 )
                                                                                                                                                                   => ( in @ X8 @ X6 ) )
                                                                                                                                                               => ( subset @ X4 @ X6 ) )
                                                                                                                                                           => ( ! [X10: $i,X12: $i] :
                                                                                                                                                                  ( ( X10 = X12 )
                                                                                                                                                                 => ( subset @ X12 @ X10 ) )
                                                                                                                                                             => ( ! [X14: $i,X16: $i] :
                                                                                                                                                                    ( ( X14 = X16 )
                                                                                                                                                                   => ( subset @ X14 @ X16 ) )
                                                                                                                                                               => ( ! [X18: $i,X20: $i] :
                                                                                                                                                                      ( ! [X22: $i] :
                                                                                                                                                                          ( ( in @ X22 @ X18 )
                                                                                                                                                                         => ( in @ X22 @ X20 ) )
                                                                                                                                                                     => ( subset @ X18 @ X20 ) )
                                                                                                                                                                 => ( ! [X24: $i] : ( subset @ emptyset @ X24 )
                                                                                                                                                                   => ( ! [X26: $i,X28: $i,X30: $i] :
                                                                                                                                                                          ( ( subset @ X26 @ X28 )
                                                                                                                                                                         => ( ( in @ X30 @ X26 )
                                                                                                                                                                           => ( in @ X30 @ X28 ) ) )
                                                                                                                                                                     => ( ! [X32: $i,X34: $i,X36: $i] :
                                                                                                                                                                            ( ( subset @ X32 @ X34 )
                                                                                                                                                                           => ( ~ ( in @ X36 @ X34 )
                                                                                                                                                                             => ~ ( in @ X36 @ X32 ) ) )
                                                                                                                                                                       => ( ! [X38: $i,X40: $i,X42: $i] :
                                                                                                                                                                              ( ( in @ X42 @ X38 )
                                                                                                                                                                             => ( ~ ( in @ X42 @ X40 )
                                                                                                                                                                               => ~ ( subset @ X38 @ X40 ) ) )
                                                                                                                                                                         => ( ! [X44: $i,X46: $i] :
                                                                                                                                                                                ( ~ ( subset @ X44 @ X46 )
                                                                                                                                                                               => ( X44 != X46 ) )
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( ! [X48: $i] : ( subset @ X48 @ X48 )
                                                                                                                                                                               => ! [X50: $i,X52: $i,X54: $i] :
                                                                                                                                                                                    ( ( subset @ X50 @ X52 )
                                                                                                                                                                                   => ( ( subset @ X52 @ X54 )
                                                                                                                                                                                     => ( subset @ X50 @ X54 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ~ ( subset @ sk__24 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ( in @ ( sk__27 @ X3 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl46,plain,
    subset @ sk__25 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl41,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( subset @ X4 @ X5 )
      | ( in @ X6 @ X5 )
      | ~ ( in @ X6 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__25 )
      | ( in @ X0 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl41]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ~ ( in @ ( sk__27 @ X3 @ X2 ) @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__27 @ sk__26 @ X0 ) @ sk__25 )
      | ( subset @ X0 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl39]) ).

thf(zip_derived_cl44,plain,
    subset @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl41_001,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( subset @ X4 @ X5 )
      | ( in @ X6 @ X5 )
      | ~ ( in @ X6 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__24 )
      | ( in @ X0 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl41]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ sk__26 )
      | ~ ( in @ ( sk__27 @ sk__26 @ X0 ) @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl103]) ).

thf(zip_derived_cl190,plain,
    ( ( subset @ sk__24 @ sk__26 )
    | ( subset @ sk__24 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl119]) ).

thf(zip_derived_cl196,plain,
    subset @ sk__24 @ sk__26,
    inference(simplify,[status(thm)],[zip_derived_cl190]) ).

thf(zip_derived_cl200,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl196]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU570^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CFonU4j0Jp true
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Aug 23 19:46:21 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.71  % Total configuration time : 828
% 0.23/0.71  % Estimated wc time : 1656
% 0.23/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.92/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.92/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.92/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.49/0.83  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.49/0.83  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.49/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/0.87  % Solved by lams/40_c_ic.sh.
% 1.49/0.87  % done 122 iterations in 0.050s
% 1.49/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.49/0.87  % SZS output start Refutation
% See solution above
% 1.49/0.87  
% 1.49/0.87  
% 1.49/0.87  % Terminating...
% 1.56/0.95  % Runner terminated.
% 1.72/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------