TSTP Solution File: SEU649^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU649^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mq1mQP8zNx true

% Computer : n009.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 19:15:31 EDT 2023

% Result   : Theorem 0.58s 1.01s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   62 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :  173 (  94 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  749 (  22   ~;  57   |;   0   &; 624   @)
%                                         (   0 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  113 (   0   ^; 113   !;   0   ?; 113   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uniqinunit_type,type,
    uniqinunit: $o ).

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

thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(sk__16_type,type,
    sk__16: $i > $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__15_type,type,
    sk__15: $i > $i > $i ).

thf(setext_type,type,
    setext: $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(emptyset_type,type,
    emptyset: $i ).

thf(upairset2E_type,type,
    upairset2E: $o ).

thf(eqinunit_type,type,
    eqinunit: $o ).

thf(upairset2E,axiom,
    ( upairset2E
    = ( ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
         => ( ( Xz = Xx )
            | ( Xz = Xy ) ) ) ) ) ).

thf('0',plain,
    ( upairset2E
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
         => ( ( X8 = X4 )
            | ( X8 = X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(eqinunit,axiom,
    ( eqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( Xx = Xy )
         => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).

thf('1',plain,
    ( eqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
    define([status(thm)]) ).

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

thf('2',plain,
    ( uniqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinIL,axiom,
    ( setadjoinIL
    = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).

thf('3',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

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

thf('4',plain,
    ( setext
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( ! [X10: $i] :
                ( ( in @ X10 @ X6 )
               => ( in @ X10 @ X4 ) )
           => ( X4 = X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setukpairinjR11,conjecture,
    ( setext
   => ( setadjoinIL
     => ( uniqinunit
       => ( eqinunit
         => ( upairset2E
           => ! [Xx: $i,Xy: $i] :
                ( ( Xx = Xy )
               => ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
                  = ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( ! [X10: $i] :
              ( ( in @ X10 @ X6 )
             => ( in @ X10 @ X4 ) )
         => ( X4 = X6 ) ) )
   => ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( in @ X16 @ ( setadjoin @ X18 @ emptyset ) )
           => ( X16 = X18 ) )
       => ( ! [X20: $i,X22: $i] :
              ( ( X20 = X22 )
             => ( in @ X20 @ ( setadjoin @ X22 @ emptyset ) ) )
         => ( ! [X24: $i,X26: $i,X28: $i] :
                ( ( in @ X28 @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) )
               => ( ( X28 = X24 )
                  | ( X28 = X26 ) ) )
           => ! [X30: $i,X32: $i] :
                ( ( X30 = X32 )
               => ( ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) )
                  = ( setadjoin @ X30 @ emptyset ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( ! [X10: $i] :
                ( ( in @ X10 @ X6 )
               => ( in @ X10 @ X4 ) )
           => ( X4 = X6 ) ) )
     => ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( in @ X16 @ ( setadjoin @ X18 @ emptyset ) )
             => ( X16 = X18 ) )
         => ( ! [X20: $i,X22: $i] :
                ( ( X20 = X22 )
               => ( in @ X20 @ ( setadjoin @ X22 @ emptyset ) ) )
           => ( ! [X24: $i,X26: $i,X28: $i] :
                  ( ( in @ X28 @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) )
                 => ( ( X28 = X24 )
                    | ( X28 = X26 ) ) )
             => ! [X30: $i,X32: $i] :
                  ( ( X30 = X32 )
                 => ( ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) )
                    = ( setadjoin @ X30 @ emptyset ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ( ( setadjoin @ sk__13 @ ( setadjoin @ sk__14 @ emptyset ) )
   != ( setadjoin @ sk__13 @ emptyset ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    sk__13 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ( ( setadjoin @ sk__13 @ ( setadjoin @ sk__13 @ emptyset ) )
   != ( setadjoin @ sk__13 @ emptyset ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i,X3: $i] :
      ( ( X3 = X2 )
      | ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__15 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ( in @ ( sk__16 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__15 @ ( setadjoin @ X0 @ emptyset ) @ X1 )
        = X0 )
      | ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ X1 ) @ X1 )
      | ( X1
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( X5 = X4 )
      | ( X5 = X6 )
      | ~ ( in @ X5 @ ( setadjoin @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X2 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X2 )
      | ( ( sk__16 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X1 )
      | ( ( sk__16 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != X1 )
      | ( ( sk__16 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X1 )
      | ( ( sk__15 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X2 )
      | ( ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X2 @ emptyset ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl168,plain,
    ! [X1: $i,X2: $i] :
      ( ( ( setadjoin @ X1 @ ( setadjoin @ X1 @ emptyset ) )
        = ( setadjoin @ X2 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X1 @ emptyset ) ) )
        = X2 )
      | ( ( sk__16 @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ X1 @ ( setadjoin @ X1 @ emptyset ) ) )
        = X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__15 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__16 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( setadjoin @ X1 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X1 )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X1 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X1 @ emptyset ) )
      | ( in @ ( sk__15 @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X1 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl3]) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__15 @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X1 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X1 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X1 )
      | ~ ( in @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl4_001,plain,
    ! [X2: $i,X3: $i] :
      ( ( X3 = X2 )
      | ~ ( in @ X3 @ ( setadjoin @ X2 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( setadjoin @ X1 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X1 )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X1 @ emptyset ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl219,zip_derived_cl4]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl255]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__15 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ( in @ ( sk__16 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl0]) ).

thf(zip_derived_cl9_002,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl9]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl280]) ).

thf(zip_derived_cl5_003,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( X5 = X4 )
      | ( X5 = X6 )
      | ~ ( in @ X5 @ ( setadjoin @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 )
      | ( ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl5]) ).

thf(zip_derived_cl330,plain,
    ! [X0: $i] :
      ( ( ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl312]) ).

thf(zip_derived_cl262_004,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( ( sk__15 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl255]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__15 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__16 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ~ ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl1]) ).

thf(zip_derived_cl9_005,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ~ ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl9]) ).

thf(zip_derived_cl279,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__16 @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ) @ ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl278]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl279]) ).

thf(zip_derived_cl9_006,plain,
    ! [X9: $i,X10: $i] : ( in @ X9 @ ( setadjoin @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i] :
      ( ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) )
      | ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
        = ( setadjoin @ X0 @ emptyset ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl9]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i] :
      ( ( setadjoin @ X0 @ ( setadjoin @ X0 @ emptyset ) )
      = ( setadjoin @ X0 @ emptyset ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl368,plain,
    ( ( setadjoin @ sk__13 @ emptyset )
   != ( setadjoin @ sk__13 @ emptyset ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl352]) ).

thf(zip_derived_cl369,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl368]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem  : SEU649^2 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mq1mQP8zNx true
% 0.13/0.39  % Computer : n009.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8042.1875MB
% 0.13/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Thu Aug 24 01:25:36 EDT 2023
% 0.21/0.39  % CPUTime  : 
% 0.21/0.39  % Running portfolio for 300 s
% 0.21/0.39  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  % Number of cores: 8
% 0.21/0.39  % Python version: Python 3.6.8
% 0.21/0.40  % Running in HO mode
% 0.56/0.72  % Total configuration time : 828
% 0.56/0.72  % Estimated wc time : 1656
% 0.56/0.72  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.88  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.88  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.90  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.92  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.95  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.96  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.98  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.99  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/1.01  % Solved by lams/40_c.s.sh.
% 0.58/1.01  % done 70 iterations in 0.093s
% 0.58/1.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.01  % SZS output start Refutation
% See solution above
% 0.58/1.01  
% 0.58/1.01  
% 0.58/1.01  % Terminating...
% 1.84/1.27  % Runner terminated.
% 1.84/1.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------