TSTP Solution File: SET701+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dHi2zZZlRz true

% Computer : n014.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 16:15:40 EDT 2023

% Result   : Theorem 121.17s 18.18s
% Output   : Refutation 121.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   75 (   2 unt;   9 typ;   0 def)
%            Number of atoms       :  168 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  870 (  54   ~;  62   |;   4   &; 714   @)
%                                         (   5 <=>;   3  =>;  28  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  112 (   0   ^; 112   !;   0   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(difference_type,type,
    difference: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(intersection_type,type,
    intersection: $i > $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(thI35,conjecture,
    ! [A: $i,B: $i,C: $i,E: $i] :
      ( ( ( subset @ A @ E )
        & ( subset @ B @ E ) )
     => ( ( subset @ A @ B )
      <=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ ( intersection @ C @ ( difference @ E @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,E: $i] :
        ( ( ( subset @ A @ E )
          & ( subset @ B @ E ) )
       => ( ( subset @ A @ B )
        <=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ ( intersection @ C @ ( difference @ E @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thI35]) ).

thf(zip_derived_cl32,plain,
    ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) )
    | ( subset @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( subset @ sk__3 @ sk__4 )
    | ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(intersection,axiom,
    ! [X: $i,A: $i,B: $i] :
      ( ( member @ X @ ( intersection @ A @ B ) )
    <=> ( ( member @ X @ A )
        & ( member @ X @ B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
      | ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl35,plain,
    ( ( subset @ sk__3 @ sk__4 )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl40,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl46,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
        | ( subset @ X0 @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).

thf(zip_derived_cl451,plain,
    ( ! [X0: $i] :
        ( ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
        | ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl46]) ).

thf(zip_derived_cl476,plain,
    ( ! [X0: $i] : ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl451]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl493,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( member @ X1 @ ( intersection @ sk__3 @ X0 ) )
        | ( member @ X1 @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl0]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl604,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( member @ ( sk_ @ X1 @ ( intersection @ sk__3 @ X0 ) ) @ sk__4 )
        | ( subset @ ( intersection @ sk__3 @ X0 ) @ X1 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl493,zip_derived_cl2]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
      | ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).

thf(difference,axiom,
    ! [B: $i,A: $i,E: $i] :
      ( ( member @ B @ ( difference @ E @ A ) )
    <=> ( ( member @ B @ E )
        & ~ ( member @ B @ A ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[difference]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( subset @ ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) @ X3 )
      | ~ ( member @ ( sk_ @ X3 @ ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl16]) ).

thf(zip_derived_cl46501,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 )
        | ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl538]) ).

thf(zip_derived_cl46514,plain,
    ( ! [X0: $i,X1: $i] : ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46501]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) )
    | ~ ( subset @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) )
   <= ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('1',plain,
    ( ~ ( subset @ sk__3 @ sk__4 )
    | ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46514,zip_derived_cl34]) ).

thf('2',plain,
    ( ~ ( subset @ sk__3 @ sk__4 )
    | ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( difference @ X1 @ X2 ) )
      | ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[difference]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl2_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl36,plain,
    ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl39,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) )
        | ( member @ X0 @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl9_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl50,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) )
        | ( member @ X0 @ ( difference @ sk__6 @ sk__5 ) ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl9]) ).

thf(zip_derived_cl55,plain,
    ( ! [X0: $i] :
        ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ X0 )
        | ( member @ ( sk_ @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) ) @ ( difference @ sk__6 @ sk__5 ) ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl50]) ).

thf(zip_derived_cl16_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[difference]) ).

thf(zip_derived_cl90,plain,
    ( ! [X0: $i] :
        ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ X0 )
        | ~ ( member @ ( sk_ @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) ) @ sk__5 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl16]) ).

thf(zip_derived_cl2_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl39_010,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) )
        | ( member @ X0 @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl8_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl48,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) )
        | ( member @ X0 @ sk__5 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).

thf(zip_derived_cl54,plain,
    ( ! [X0: $i] :
        ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ X0 )
        | ( member @ ( sk_ @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) ) @ sk__5 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).

thf(zip_derived_cl93,plain,
    ( ! [X0: $i] : ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ X0 )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl54]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl94,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( member @ X1 @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) )
        | ( member @ X1 @ X0 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl0]) ).

thf(zip_derived_cl119,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ~ ( member @ X0 @ ( difference @ sk__6 @ sk__4 ) )
        | ( member @ X0 @ X1 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl94]) ).

thf(zip_derived_cl208,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( member @ X0 @ sk__6 )
        | ( member @ X0 @ sk__4 )
        | ~ ( member @ X0 @ sk__3 )
        | ( member @ X0 @ X1 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl119]) ).

thf(zip_derived_cl2501,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__6 )
        | ( member @ X0 @ sk__4 )
        | ~ ( member @ X0 @ sk__3 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl208]) ).

thf(zip_derived_cl29,plain,
    subset @ sk__3 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__3 )
      | ( member @ X0 @ sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).

thf(zip_derived_cl2502,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2501,zip_derived_cl41]) ).

thf(zip_derived_cl1_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl2510,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
        | ( subset @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2502,zip_derived_cl1]) ).

thf(zip_derived_cl2525,plain,
    ( ( ( subset @ sk__3 @ sk__4 )
      | ( subset @ sk__3 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl2510]) ).

thf(zip_derived_cl2535,plain,
    ( ( subset @ sk__3 @ sk__4 )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2525]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( subset @ sk__3 @ sk__4 )
   <= ~ ( subset @ sk__3 @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('3',plain,
    ( ( subset @ sk__3 @ sk__4 )
    | ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__6 @ sk__4 ) ) @ ( intersection @ sk__5 @ ( difference @ sk__6 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2535,zip_derived_cl33]) ).

thf(zip_derived_cl46775,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dHi2zZZlRz true
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sat Aug 26 09:10:02 EDT 2023
% 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
% 0.15/0.38  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.85  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 121.17/18.18  % Solved by fo/fo1_av.sh.
% 121.17/18.18  % done 3020 iterations in 17.396s
% 121.17/18.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 121.17/18.18  % SZS output start Refutation
% See solution above
% 121.17/18.18  
% 121.17/18.18  
% 121.17/18.19  % Terminating...
% 121.92/18.30  % Runner terminated.
% 121.92/18.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------