TSTP Solution File: SET894+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET894+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pXXNrpytD8 true

% Computer : n006.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 16:16:42 EDT 2023

% Result   : Theorem 46.43s 7.28s
% Output   : Refutation 46.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   67 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :  134 (  52 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  689 (  62   ~;  65   |;   5   &; 549   @)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-5 aty)
%            Number of variables   :  174 (   0   ^; 170   !;   4   ?; 174   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i > $i > $i > $i ).

thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(t35_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( cartesian_product2 @ ( singleton @ A ) @ ( singleton @ B ) )
      = ( singleton @ ( ordered_pair @ A @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( cartesian_product2 @ ( singleton @ A ) @ ( singleton @ B ) )
        = ( singleton @ ( ordered_pair @ A @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t35_zfmisc_1]) ).

thf(zip_derived_cl23,plain,
    ( ( cartesian_product2 @ ( singleton @ sk__9 ) @ ( singleton @ sk__10 ) )
   != ( singleton @ ( ordered_pair @ sk__9 @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( ( sk_ @ X1 @ X0 )
        = X0 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(d2_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( cartesian_product2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ? [E: $i,F: $i] :
              ( ( in @ E @ A )
              & ( in @ F @ B )
              & ( D
                = ( ordered_pair @ E @ F ) ) ) ) ) ).

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

thf(zf_stmt_2,axiom,
    ! [F: $i,E: $i,D: $i,B: $i,A: $i] :
      ( ( zip_tseitin_0 @ F @ E @ D @ B @ A )
    <=> ( ( D
          = ( ordered_pair @ E @ F ) )
        & ( in @ F @ B )
        & ( in @ E @ A ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( cartesian_product2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ? [E: $i,F: $i] : ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( zip_tseitin_0 @ ( sk__5 @ X0 @ X2 @ X3 ) @ ( sk__4 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
      | ( X1
       != ( cartesian_product2 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0
       != ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X0 )
      | ( in @ ( sk__4 @ X1 @ X3 @ X2 ) @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X0 )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X0 ) @ X1 ) )
      | ( ( sk__4 @ X2 @ X1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl120]) ).

thf(zip_derived_cl11_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( zip_tseitin_0 @ ( sk__5 @ X0 @ X2 @ X3 ) @ ( sk__4 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
      | ( X1
       != ( cartesian_product2 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0
       != ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X0 )
      | ( in @ ( sk__5 @ X1 @ X3 @ X2 ) @ X3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( sk__5 @ X2 @ X0 @ X1 ) @ X0 )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl120_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( cartesian_product2 @ X1 @ ( singleton @ X0 ) ) )
      | ( ( sk__5 @ X2 @ ( singleton @ X0 ) @ X1 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl120]) ).

thf(zip_derived_cl11_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( zip_tseitin_0 @ ( sk__5 @ X0 @ X2 @ X3 ) @ ( sk__4 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
      | ( X1
       != ( cartesian_product2 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X2
        = ( ordered_pair @ X0 @ X1 ) )
      | ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0
       != ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X0 )
      | ( X1
        = ( ordered_pair @ ( sk__4 @ X1 @ X3 @ X2 ) @ ( sk__5 @ X1 @ X3 @ X2 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( ordered_pair @ ( sk__4 @ X0 @ X2 @ X1 ) @ ( sk__5 @ X0 @ X2 @ X1 ) ) )
      | ~ ( in @ X0 @ ( cartesian_product2 @ X1 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( cartesian_product2 @ X1 @ ( singleton @ X0 ) ) )
      | ( X2
        = ( ordered_pair @ ( sk__4 @ X2 @ ( singleton @ X0 ) @ X1 ) @ X0 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X1 @ ( singleton @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl173]) ).

thf(zip_derived_cl664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( ordered_pair @ ( sk__4 @ X2 @ ( singleton @ X0 ) @ X1 ) @ X0 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X1 @ ( singleton @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl662]) ).

thf(zip_derived_cl689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) )
      | ( X2
        = ( ordered_pair @ X0 @ X1 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl664]) ).

thf(zip_derived_cl690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( ordered_pair @ X0 @ X1 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl689]) ).

thf(zip_derived_cl726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 )
        = X2 )
      | ( ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) )
        = ( singleton @ X2 ) )
      | ( ( sk_ @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 )
        = ( ordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl690]) ).

thf(zip_derived_cl19620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( ordered_pair @ X1 @ X0 )
       != X2 )
      | ( ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) )
        = ( singleton @ X2 ) )
      | ( ( sk_ @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 )
        = X2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl726]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( ( sk_ @ X1 @ X0 )
       != X0 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl19982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) )
        = ( singleton @ X0 ) )
      | ( ( ordered_pair @ X2 @ X1 )
       != X0 )
      | ( ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) )
        = ( singleton @ X0 ) )
      | ( X0 != X0 )
      | ~ ( in @ X0 @ ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19620,zip_derived_cl4]) ).

thf(zip_derived_cl19994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) ) )
      | ( ( ordered_pair @ X2 @ X1 )
       != X0 )
      | ( ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) )
        = ( singleton @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19982]) ).

thf(zip_derived_cl20307,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) )
        = ( singleton @ ( ordered_pair @ X1 @ X0 ) ) )
      | ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl19994]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl123_004,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl121]) ).

thf(l55_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
    <=> ( ( in @ A @ C )
        & ( in @ B @ D ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[l55_zfmisc_1]) ).

thf(zip_derived_cl18_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[l55_zfmisc_1]) ).

thf(zip_derived_cl177_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X0 )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl690_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( ordered_pair @ X0 @ X1 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl689]) ).

thf(zip_derived_cl731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X3 @ ( cartesian_product2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 ) )
      | ( ( sk__4 @ X3 @ X2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) )
        = ( ordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl690]) ).

thf(zip_derived_cl177_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X0 )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl1701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X3 @ ( cartesian_product2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 ) )
      | ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) )
      | ~ ( in @ X3 @ ( cartesian_product2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl177]) ).

thf(zip_derived_cl1705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) )
      | ~ ( in @ X3 @ ( cartesian_product2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1701]) ).

thf(zip_derived_cl1797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X4 @ ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) ) )
      | ~ ( in @ X3 @ X0 )
      | ( in @ ( ordered_pair @ X2 @ X1 ) @ ( cartesian_product2 @ ( singleton @ X2 ) @ ( singleton @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1705]) ).

thf(zip_derived_cl1888,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) )
      | ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1797]) ).

thf(zip_derived_cl1889,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X3 @ ( singleton @ X1 ) )
      | ~ ( in @ X2 @ ( singleton @ X0 ) )
      | ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1888]) ).

thf(zip_derived_cl1924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( singleton @ X1 ) )
      | ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl1889]) ).

thf(zip_derived_cl1945,plain,
    ! [X0: $i,X1: $i] : ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl1924]) ).

thf(zip_derived_cl20308,plain,
    ! [X0: $i,X1: $i] :
      ( ( cartesian_product2 @ ( singleton @ X1 ) @ ( singleton @ X0 ) )
      = ( singleton @ ( ordered_pair @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20307,zip_derived_cl1945]) ).

thf(zip_derived_cl20309,plain,
    ( ( singleton @ ( ordered_pair @ sk__9 @ sk__10 ) )
   != ( singleton @ ( ordered_pair @ sk__9 @ sk__10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl20308]) ).

thf(zip_derived_cl20310,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl20309]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET894+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pXXNrpytD8 true
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 13:02:07 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 46.43/7.28  % Solved by fo/fo6_bce.sh.
% 46.43/7.28  % BCE start: 24
% 46.43/7.28  % BCE eliminated: 0
% 46.43/7.28  % PE start: 24
% 46.43/7.28  logic: eq
% 46.43/7.28  % PE eliminated: 1
% 46.43/7.28  % done 1562 iterations in 6.549s
% 46.43/7.28  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 46.43/7.28  % SZS output start Refutation
% See solution above
% 46.43/7.28  
% 46.43/7.28  
% 46.43/7.28  % Terminating...
% 47.32/7.36  % Runner terminated.
% 47.32/7.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------