TSTP Solution File: SEU711^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU711^2 : 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.sEReTJ3pXn true

% Computer : n017.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 19:16:29 EDT 2023

% Result   : Theorem 1.49s 0.92s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   64 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :  249 (   6 equ;   0 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  824 (  29   ~;  26   |;   0   &; 565   @)
%                                         (   0 <=>; 144  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   8 con; 0-2 aty)
%                                         (  60  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  170 (  60   ^; 110   !;   0   ?; 170   :)

% Comments : 
%------------------------------------------------------------------------------
thf(binunionEcases_type,type,
    binunionEcases: $o ).

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

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

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

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

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

thf(binunion_type,type,
    binunion: $i > $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

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

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

thf(binunionEcases,axiom,
    ( binunionEcases
    = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
          ( ( in @ Xx @ ( binunion @ A @ B ) )
         => ( ( ( in @ Xx @ A )
             => Xphi )
           => ( ( ( in @ Xx @ B )
               => Xphi )
             => Xphi ) ) ) ) ) ).

thf('0',plain,
    ( binunionEcases
    = ( ! [X4: $i,X6: $i,X8: $i,X10: $o] :
          ( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
         => ( ( ( in @ X8 @ X4 )
             => X10 )
           => ( ( ( in @ X8 @ X6 )
               => X10 )
             => X10 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('1',plain,
    ( powersetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('2',plain,
    ( powersetI
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X6 )
             => ( in @ X8 @ X4 ) )
         => ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(binunionT_lem,conjecture,
    ( powersetI
   => ( powersetE
     => ( binunionEcases
       => ! [A: $i,X: $i] :
            ( ( in @ X @ ( powerset @ A ) )
           => ! [Y: $i] :
                ( ( in @ Y @ ( powerset @ A ) )
               => ( in @ ( binunion @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X6 )
           => ( in @ X8 @ X4 ) )
       => ( in @ X6 @ ( powerset @ X4 ) ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X12 @ ( powerset @ X10 ) )
         => ( ( in @ X14 @ X12 )
           => ( in @ X14 @ X10 ) ) )
     => ( ! [X16: $i,X18: $i,X20: $i,X22: $o] :
            ( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
           => ( ( ( in @ X20 @ X16 )
               => X22 )
             => ( ( ( in @ X20 @ X18 )
                 => X22 )
               => X22 ) ) )
       => ! [X24: $i,X26: $i] :
            ( ( in @ X26 @ ( powerset @ X24 ) )
           => ! [X28: $i] :
                ( ( in @ X28 @ ( powerset @ X24 ) )
               => ( in @ ( binunion @ X26 @ X28 ) @ ( powerset @ X24 ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X6 )
             => ( in @ X8 @ X4 ) )
         => ( in @ X6 @ ( powerset @ X4 ) ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( in @ X12 @ ( powerset @ X10 ) )
           => ( ( in @ X14 @ X12 )
             => ( in @ X14 @ X10 ) ) )
       => ( ! [X16: $i,X18: $i,X20: $i,X22: $o] :
              ( ( in @ X20 @ ( binunion @ X16 @ X18 ) )
             => ( ( ( in @ X20 @ X16 )
                 => X22 )
               => ( ( ( in @ X20 @ X18 )
                   => X22 )
                 => X22 ) ) )
         => ! [X24: $i,X26: $i] :
              ( ( in @ X26 @ ( powerset @ X24 ) )
             => ! [X28: $i] :
                  ( ( in @ X28 @ ( powerset @ X24 ) )
                 => ( in @ ( binunion @ X26 @ X28 ) @ ( powerset @ X24 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

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

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

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

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

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

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

thf(zip_derived_cl23,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ ( powerset @ '#sk1' ) )
         => ( in @ ( binunion @ '#sk3' @ Y0 ) @ ( powerset @ '#sk1' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ~ ( ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
     => ( in @ ( binunion @ '#sk3' @ '#sk4' ) @ ( powerset @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl29,plain,
    ~ ( in @ ( binunion @ '#sk3' @ '#sk4' ) @ ( powerset @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

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

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

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

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

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

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

thf(zip_derived_cl29_001,plain,
    ~ ( in @ ( binunion @ '#sk3' @ '#sk4' ) @ ( powerset @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl47,plain,
    in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ ( binunion @ '#sk3' @ '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl29]) ).

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

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

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

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

thf(zip_derived_cl25,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ( in @ X6 @ ( binunion @ X2 @ X4 ) )
     => ( ( ( in @ X6 @ X2 )
         => X8 )
       => ( ( ( in @ X6 @ X4 )
           => X8 )
         => X8 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
      | ( ( ( in @ X6 @ X2 )
         => X8 )
       => ( ( ( in @ X6 @ X4 )
           => X8 )
         => X8 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ~ ( ( in @ X6 @ X2 )
         => X8 )
      | ( ( ( in @ X6 @ X4 )
         => X8 )
       => X8 )
      | ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ( in @ X6 @ X2 )
      | ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
      | ( ( ( in @ X6 @ X4 )
         => X8 )
       => X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl33,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ~ ( ( in @ X6 @ X4 )
         => X8 )
      | X8
      | ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
      | ( in @ X6 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $o] :
      ( ( in @ X6 @ X4 )
      | ( in @ X6 @ X2 )
      | ~ ( in @ X6 @ ( binunion @ X2 @ X4 ) )
      | X8 ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ( in @ X1 @ X2 )
      | ~ ( in @ X1 @ ( binunion @ X2 @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl83,plain,
    ( ( in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ '#sk3' )
    | ( in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl39]) ).

thf(zip_derived_cl28,plain,
    in @ '#sk4' @ ( powerset @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

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

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

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

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

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

thf(zip_derived_cl24,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X4 )
      | ( in @ X6 @ X2 )
      | ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl24]) ).

thf(zip_derived_cl91,plain,
    ( ( in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ '#sk3' )
    | ( in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl45]) ).

thf(zip_derived_cl22,plain,
    in @ '#sk3' @ ( powerset @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl24_002,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X4 )
      | ( in @ X6 @ X2 )
      | ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl24]) ).

thf(zip_derived_cl101,plain,
    in @ ( '#sk2' @ '#sk1' @ ( binunion @ '#sk3' @ '#sk4' ) ) @ '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl43]) ).

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

thf(zip_derived_cl102,plain,
    in @ ( binunion @ '#sk3' @ '#sk4' ) @ ( powerset @ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl19]) ).

thf(zip_derived_cl116,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU711^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sEReTJ3pXn true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 12:01:23 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.73/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.73/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.73/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.73/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.73/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/0.92  % Solved by lams/20_acsne_simpl.sh.
% 1.49/0.92  % done 31 iterations in 0.040s
% 1.49/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.49/0.92  % SZS output start Refutation
% See solution above
% 1.49/0.92  
% 1.49/0.92  
% 1.49/0.92  % Terminating...
% 1.69/1.02  % Runner terminated.
% 1.69/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------