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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU322+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3IUIXpyMmH true

% Computer : n015.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 04:54:14 PM UTC 2025

% Result   : Theorem 6.70s 1.58s
% Output   : Refutation 6.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   72 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  195 (   8 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  871 ( 100   ~;  94   |;   5   &; 648   @)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :  118 (   0   ^; 118   !;   0   ?; 118   :)

% Comments : 
%------------------------------------------------------------------------------
thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(empty_carrier_type,type,
    empty_carrier: $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

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

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

thf(subset_complement_type,type,
    subset_complement: $i > $i > $i ).

thf(empty_type,type,
    empty: $i > $o ).

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

thf(interior_type,type,
    interior: $i > $i > $i ).

thf(top_str_type,type,
    top_str: $i > $o ).

thf(topstr_closure_type,type,
    topstr_closure: $i > $i > $i ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t44_tops_1,conjecture,
    ! [A: $i] :
      ( ( top_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( subset @ ( interior @ A @ B ) @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( top_str @ A )
       => ! [B: $i] :
            ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
           => ( subset @ ( interior @ A @ B ) @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t44_tops_1]) ).

thf(zip_derived_cl84,plain,
    ~ ( subset @ ( interior @ sk__7 @ sk__8 ) @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl331,plain,
    ~ ( in @ ( sk_ @ sk__8 @ ( interior @ sk__7 @ sk__8 ) ) @ sk__8 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl84]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl84_001,plain,
    ~ ( subset @ ( interior @ sk__7 @ sk__8 ) @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    in @ ( sk_ @ sk__8 @ ( interior @ sk__7 @ sk__8 ) ) @ ( interior @ sk__7 @ sk__8 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl84]) ).

thf(involutiveness_k3_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
        = B ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset_complement @ X1 @ ( subset_complement @ X1 @ X0 ) )
        = X0 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).

thf(zip_derived_cl83,plain,
    top_str @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t48_pre_topc,axiom,
    ! [A: $i] :
      ( ( top_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( subset @ B @ ( topstr_closure @ A @ B ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
      | ( subset @ X0 @ ( topstr_closure @ X1 @ X0 ) )
      | ~ ( top_str @ X1 ) ),
    inference(cnf,[status(esa)],[t48_pre_topc]) ).

thf(zip_derived_cl316,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ ( topstr_closure @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl83,zip_derived_cl86]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ( in @ X1 @ ( topstr_closure @ sk__7 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl316,zip_derived_cl43]) ).

thf(zip_derived_cl65_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset_complement @ X1 @ ( subset_complement @ X1 @ X0 ) )
        = X0 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).

thf(zip_derived_cl83_003,plain,
    top_str @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_tops_1,axiom,
    ! [A: $i] :
      ( ( top_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( ( interior @ A @ B )
            = ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
      | ( ( interior @ X1 @ X0 )
        = ( subset_complement @ ( the_carrier @ X1 ) @ ( topstr_closure @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) ) ) )
      | ~ ( top_str @ X1 ) ),
    inference(cnf,[status(esa)],[d1_tops_1]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( ( interior @ sk__7 @ X0 )
        = ( subset_complement @ ( the_carrier @ sk__7 ) @ ( topstr_closure @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl83,zip_derived_cl42]) ).

thf(zip_derived_cl479,plain,
    ! [X0: $i] :
      ( ( ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) )
        = ( subset_complement @ ( the_carrier @ sk__7 ) @ ( topstr_closure @ sk__7 @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( element @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl312]) ).

thf(dt_k3_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( subset_complement @ X0 @ X1 ) @ ( powerset @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k3_subset_1]) ).

thf(zip_derived_cl2285,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ( ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) )
        = ( subset_complement @ ( the_carrier @ sk__7 ) @ ( topstr_closure @ sk__7 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl479,zip_derived_cl49]) ).

thf(t54_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( element @ C @ ( powerset @ A ) )
     => ~ ( ( in @ B @ ( subset_complement @ A @ C ) )
          & ( in @ B @ C ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ ( subset_complement @ X2 @ X1 ) )
      | ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
    inference(cnf,[status(esa)],[t54_subset_1]) ).

thf(zip_derived_cl2295,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( element @ ( topstr_closure @ sk__7 @ X0 ) @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( topstr_closure @ sk__7 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2285,zip_derived_cl88]) ).

thf(zip_derived_cl83_004,plain,
    top_str @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k6_pre_topc,axiom,
    ! [A: $i,B: $i] :
      ( ( ( top_str @ A )
        & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
     => ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( top_str @ X0 )
      | ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ( element @ ( topstr_closure @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k6_pre_topc]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i] :
      ( ( element @ ( topstr_closure @ sk__7 @ X0 ) @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl83,zip_derived_cl50]) ).

thf(zip_derived_cl2336,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( topstr_closure @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2295,zip_derived_cl314]) ).

thf(zip_derived_cl2342,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl2336]) ).

thf(zip_derived_cl2347,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2342]) ).

thf(zip_derived_cl2371,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) )
      | ~ ( element @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl2347]) ).

thf(zip_derived_cl49_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( subset_complement @ X0 @ X1 ) @ ( powerset @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k3_subset_1]) ).

thf(zip_derived_cl2391,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( subset_complement @ ( the_carrier @ sk__7 ) @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2371,zip_derived_cl49]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(l40_tops_1,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( in @ C @ ( subset_complement @ ( the_carrier @ A ) @ B ) )
              <=> ~ ( in @ C @ B ) ) ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
      | ( in @ X2 @ X0 )
      | ( in @ X2 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( one_sorted_str @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[l40_tops_1]) ).

thf(d1_struct_0,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( empty_carrier @ A )
      <=> ( empty @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( empty_carrier @ X0 )
      | ( empty @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d1_struct_0]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( one_sorted_str @ X0 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ( in @ X2 @ ( subset_complement @ ( the_carrier @ X0 ) @ X1 ) )
      | ( in @ X2 @ X1 )
      | ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ~ ( one_sorted_str @ X0 )
      | ( empty @ ( the_carrier @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl41]) ).

thf(zip_derived_cl618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty @ ( the_carrier @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ( in @ X2 @ X1 )
      | ( in @ X2 @ ( subset_complement @ ( the_carrier @ X0 ) @ X1 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl323]) ).

thf(zip_derived_cl619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X1 @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 )
      | ( in @ X1 @ ( subset_complement @ ( the_carrier @ X0 ) @ X2 ) )
      | ( in @ X1 @ X2 )
      | ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ( empty @ ( the_carrier @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl618]) ).

thf(t7_boole,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl3903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ( in @ X1 @ X2 )
      | ( in @ X1 @ ( subset_complement @ ( the_carrier @ X0 ) @ X2 ) )
      | ~ ( one_sorted_str @ X0 )
      | ~ ( in @ X1 @ ( the_carrier @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl91]) ).

thf(zip_derived_cl3947,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__7 ) )
      | ~ ( one_sorted_str @ sk__7 )
      | ( in @ X1 @ X0 )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2391,zip_derived_cl3903]) ).

thf(zip_derived_cl83_006,plain,
    top_str @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_l1_pre_topc,axiom,
    ! [A: $i] :
      ( ( top_str @ A )
     => ( one_sorted_str @ A ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( top_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).

thf(zip_derived_cl315,plain,
    one_sorted_str @ sk__7,
    inference('dp-resolution',[status(thm)],[zip_derived_cl83,zip_derived_cl51]) ).

thf(zip_derived_cl3984,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( the_carrier @ sk__7 ) )
      | ( in @ X1 @ X0 )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3947,zip_derived_cl315]) ).

thf(zip_derived_cl3985,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( the_carrier @ sk__7 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3984]) ).

thf(zip_derived_cl83_007,plain,
    top_str @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k1_tops_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( top_str @ A )
        & ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
     => ( element @ ( interior @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( top_str @ X0 )
      | ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ( element @ ( interior @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k1_tops_1]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i] :
      ( ( element @ ( interior @ sk__7 @ X0 ) @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl83,zip_derived_cl46]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl43_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X1 @ ( powerset @ X0 ) )
      | ( in @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl43]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
      | ( in @ X1 @ ( the_carrier @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl340]) ).

thf(zip_derived_cl4014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
      | ( in @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3985,zip_derived_cl511]) ).

thf(zip_derived_cl4029,plain,
    ( ( in @ ( sk_ @ sk__8 @ ( interior @ sk__7 @ sk__8 ) ) @ sk__8 )
    | ~ ( element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl4014]) ).

thf(zip_derived_cl85,plain,
    element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4032,plain,
    in @ ( sk_ @ sk__8 @ ( interior @ sk__7 @ sk__8 ) ) @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl4029,zip_derived_cl85]) ).

thf(zip_derived_cl4036,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl4032]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU322+1 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3IUIXpyMmH true
% 0.13/0.35  % Computer : n015.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 Oct  1 16:01:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.58/0.66  % Total configuration time : 435
% 0.58/0.66  % Estimated wc time : 1092
% 0.58/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.70/1.58  % Solved by fo/fo3_bce.sh.
% 6.70/1.58  % BCE start: 93
% 6.70/1.58  % BCE eliminated: 49
% 6.70/1.58  % PE start: 44
% 6.70/1.58  logic: eq
% 6.70/1.58  % PE eliminated: -12
% 6.70/1.58  % done 867 iterations in 0.790s
% 6.70/1.58  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.70/1.58  % SZS output start Refutation
% See solution above
% 6.70/1.58  
% 6.70/1.58  
% 6.70/1.58  % Terminating...
% 7.20/1.68  % Runner terminated.
% 7.20/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------