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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU590^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cavogJuDPC true

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:55:13 PM UTC 2025

% Result   : Theorem 0.62s 0.87s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :  263 (   9 equ;   0 cnn)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives :  729 (  26   ~;  13   |;   0   &; 540   @)
%                                         (   0 <=>;  98  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   8 con; 0-2 aty)
%                                         (  52  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  176 (  94   ^;  82   !;   0   ?; 176   :)

% Comments : 
%------------------------------------------------------------------------------
thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

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

thf('#sk2_type',type,
    '#sk2': $i > $i > $i ).

thf(binintersectI_type,type,
    binintersectI: $o ).

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

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

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

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk4_type',type,
    '#sk4': $i ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf('#sk3_type',type,
    '#sk3': $i ).

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

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

thf(binintersect,axiom,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).

thf('1',plain,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[binintersect]) ).

thf('2',plain,
    ( binintersect
    = ( ^ [V_1: $i,V_2: $i] :
          ( dsetconstr @ V_1
          @ ^ [V_3: $i] : ( in @ V_3 @ V_2 ) ) ) ),
    define([status(thm)]) ).

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

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

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

thf('4',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(binintersectSubset5,conjecture,
    ( subsetI1
   => ( subsetE
     => ( binintersectI
       => ! [A: $i,B: $i,C: $i] :
            ( ( subset @ C @ A )
           => ( ( subset @ C @ B )
             => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( subset @ X4 @ X6 ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( subset @ X10 @ X12 )
         => ( ( in @ X14 @ X10 )
           => ( in @ X14 @ X12 ) ) )
     => ( ! [X16: $i,X18: $i,X20: $i] :
            ( ( in @ X20 @ X16 )
           => ( ( in @ X20 @ X18 )
             => ( in @ X20
                @ ( dsetconstr @ X16
                  @ ^ [V_1: $i] : ( in @ V_1 @ X18 ) ) ) ) )
       => ! [X22: $i,X24: $i,X26: $i] :
            ( ( subset @ X26 @ X22 )
           => ( ( subset @ X26 @ X24 )
             => ( subset @ X26
                @ ( dsetconstr @ X22
                  @ ^ [V_2: $i] : ( in @ V_2 @ X24 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( subset @ X10 @ X12 )
           => ( ( in @ X14 @ X10 )
             => ( in @ X14 @ X12 ) ) )
       => ( ! [X16: $i,X18: $i,X20: $i] :
              ( ( in @ X20 @ X16 )
             => ( ( in @ X20 @ X18 )
               => ( in @ X20
                  @ ( dsetconstr @ X16
                    @ ^ [V_1: $i] : ( in @ V_1 @ X18 ) ) ) ) )
         => ! [X22: $i,X24: $i,X26: $i] :
              ( ( subset @ X26 @ X22 )
             => ( ( subset @ X26 @ X24 )
               => ( subset @ X26
                  @ ( dsetconstr @ X22
                    @ ^ [V_2: $i] : ( in @ V_2 @ X24 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) )
               => ( subset @ Y0 @ Y1 ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( subset @ Y0 @ Y1 )
                     => ( ( in @ Y2 @ Y0 )
                       => ( in @ Y2 @ Y1 ) ) ) ) ) )
       => ( ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] :
                    ( !!
                    @ ^ [Y2: $i] :
                        ( ( in @ Y2 @ Y0 )
                       => ( ( in @ Y2 @ Y1 )
                         => ( in @ Y2
                            @ ( dsetconstr @ Y0
                              @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) )
         => ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] :
                    ( !!
                    @ ^ [Y2: $i] :
                        ( ( subset @ Y2 @ Y0 )
                       => ( ( subset @ Y2 @ Y1 )
                         => ( subset @ Y2
                            @ ( dsetconstr @ Y0
                              @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( subset @ Y0 @ Y1 )
                   => ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( ( in @ Y2 @ Y1 )
                       => ( in @ Y2
                          @ ( dsetconstr @ Y0
                            @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( subset @ Y2 @ Y0 )
                     => ( ( subset @ Y2 @ Y1 )
                       => ( subset @ Y2
                          @ ( dsetconstr @ Y0
                            @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( ( in @ Y2 @ Y1 )
                     => ( in @ Y2
                        @ ( dsetconstr @ Y0
                          @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( subset @ Y2 @ Y0 )
                   => ( ( subset @ Y2 @ Y1 )
                     => ( subset @ Y2
                        @ ( dsetconstr @ Y0
                          @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( in @ Y2 @ Y0 )
               => ( ( in @ Y2 @ Y1 )
                 => ( in @ Y2
                    @ ( dsetconstr @ Y0
                      @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ X2 )
             => ( ( in @ Y1 @ Y0 )
               => ( in @ Y1
                  @ ( dsetconstr @ X2
                    @ ^ [Y2: $i] : ( in @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ X2 )
         => ( ( in @ Y0 @ X4 )
           => ( in @ Y0
              @ ( dsetconstr @ X2
                @ ^ [Y1: $i] : ( in @ Y1 @ X4 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( in @ X6 @ X2 )
     => ( ( in @ X6 @ X4 )
       => ( in @ X6
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] : ( in @ Y0 @ X4 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl24,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( ( in @ X6 @ X4 )
       => ( in @ X6
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] : ( in @ Y0 @ X4 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X4 )
      | ( in @ X6
        @ ( dsetconstr @ X2
          @ ^ [Y0: $i] : ( in @ Y0 @ X4 ) ) )
      | ~ ( in @ X6 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( !!
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y0 )
                 => ( in @ Y2 @ Y1 ) ) )
           => ( subset @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ X2 )
               => ( in @ Y1 @ Y0 ) ) )
         => ( subset @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X2 )
           => ( in @ Y0 @ X4 ) ) )
     => ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( in @ Y0 @ X4 ) ) )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
         => ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 ) )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl9,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( subset @ Y2 @ Y0 )
                 => ( ( subset @ Y2 @ Y1 )
                   => ( subset @ Y2
                      @ ( dsetconstr @ Y0
                        @ ^ [Y3: $i] : ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( subset @ Y1 @ '#sk1' )
             => ( ( subset @ Y1 @ Y0 )
               => ( subset @ Y1
                  @ ( dsetconstr @ '#sk1'
                    @ ^ [Y2: $i] : ( in @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl17,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( subset @ Y0 @ '#sk1' )
         => ( ( subset @ Y0 @ '#sk3' )
           => ( subset @ Y0
              @ ( dsetconstr @ '#sk1'
                @ ^ [Y1: $i] : ( in @ Y1 @ '#sk3' ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ~ ( ( subset @ '#sk4' @ '#sk1' )
     => ( ( subset @ '#sk4' @ '#sk3' )
       => ( subset @ '#sk4'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ~ ( ( subset @ '#sk4' @ '#sk3' )
     => ( subset @ '#sk4'
        @ ( dsetconstr @ '#sk1'
          @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl29,plain,
    ~ ( subset @ '#sk4'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl32,plain,
    ~ ( in
      @ ( '#sk2' @ '#sk4'
        @ ( dsetconstr @ '#sk1'
          @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl29]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( in
        @ ( '#sk2' @ '#sk4'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
        @ '#sk1' )
    | ~ ( in
        @ ( '#sk2' @ '#sk4'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
        @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).

thf(zip_derived_cl28,plain,
    subset @ '#sk4' @ '#sk3',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i,X4: $i] :
      ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl29_001,plain,
    ~ ( subset @ '#sk4'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl33,plain,
    ( in
    @ ( '#sk2' @ '#sk4'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
    @ '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl29]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( subset @ Y0 @ Y1 )
               => ( ( in @ Y2 @ Y0 )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( subset @ X2 @ Y0 )
             => ( ( in @ Y1 @ X2 )
               => ( in @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( subset @ X2 @ X4 )
         => ( ( in @ Y0 @ X2 )
           => ( in @ Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( subset @ X2 @ X4 )
     => ( ( in @ X6 @ X2 )
       => ( in @ X6 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( subset @ X2 @ X4 )
      | ( ( in @ X6 @ X2 )
       => ( in @ X6 @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( in @ X6 @ X4 )
      | ~ ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ~ ( subset @ '#sk4' @ X0 )
      | ( in
        @ ( '#sk2' @ '#sk4'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
        @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl23]) ).

thf(zip_derived_cl35,plain,
    ( in
    @ ( '#sk2' @ '#sk4'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
    @ '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl34]) ).

thf(zip_derived_cl50,plain,
    ~ ( in
      @ ( '#sk2' @ '#sk4'
        @ ( dsetconstr @ '#sk1'
          @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
      @ '#sk1' ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl35]) ).

thf(zip_derived_cl25,plain,
    subset @ '#sk4' @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl34_002,plain,
    ! [X0: $i] :
      ( ~ ( subset @ '#sk4' @ X0 )
      | ( in
        @ ( '#sk2' @ '#sk4'
          @ ( dsetconstr @ '#sk1'
            @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
        @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl23]) ).

thf(zip_derived_cl36,plain,
    ( in
    @ ( '#sk2' @ '#sk4'
      @ ( dsetconstr @ '#sk1'
        @ ^ [Y0: $i] : ( in @ Y0 @ '#sk3' ) ) )
    @ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl34]) ).

thf(zip_derived_cl60,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SEU590^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cavogJuDPC true
% 0.15/0.36  % Computer : n021.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 Oct  1 16:08:23 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.56/0.66  % Total configuration time : 828
% 0.56/0.66  % Estimated wc time : 1656
% 0.56/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.84  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.87  % Solved by lams/20_acsne_simpl.sh.
% 0.62/0.87  % done 18 iterations in 0.037s
% 0.62/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.87  % SZS output start Refutation
% See solution above
% 0.62/0.87  
% 0.62/0.87  
% 0.62/0.87  % Terminating...
% 0.68/1.01  % Runner terminated.
% 1.96/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------