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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU342+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.yC4x88hns3 true

% Computer : n013.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 04:54:18 PM UTC 2025

% Result   : Theorem 8.70s 1.91s
% Output   : Refutation 8.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  112 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  342 (  39 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives : 1405 ( 144   ~; 156   |;  20   &;1031   @)
%                                         (   3 <=>;  17  =>;  34  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   5 con; 0-4 aty)
%            Number of variables   :  107 (   0   ^; 105   !;   2   ?; 107   :)

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

thf(relation_of_lattice_type,type,
    relation_of_lattice: $i > $i ).

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

thf(meet_semilatt_str_type,type,
    meet_semilatt_str: $i > $o ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(ordered_pair_as_product_element_type,type,
    ordered_pair_as_product_element: $i > $i > $i > $i > $i ).

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

thf(lattice_type,type,
    lattice: $i > $o ).

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

thf(join_semilatt_str_type,type,
    join_semilatt_str: $i > $o ).

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

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(a_1_0_filter_1_type,type,
    a_1_0_filter_1: $i > $i ).

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

thf(below_refl_type,type,
    below_refl: $i > $i > $i > $o ).

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

thf(latt_str_type,type,
    latt_str: $i > $o ).

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

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(t32_filter_1,conjecture,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( lattice @ A )
        & ( latt_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ A ) @ ( the_carrier @ A ) @ B @ C ) @ ( relation_of_lattice @ A ) )
              <=> ( below_refl @ A @ B @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( empty_carrier @ A )
          & ( lattice @ A )
          & ( latt_str @ A ) )
       => ! [B: $i] :
            ( ( element @ B @ ( the_carrier @ A ) )
           => ! [C: $i] :
                ( ( element @ C @ ( the_carrier @ A ) )
               => ( ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ A ) @ ( the_carrier @ A ) @ B @ C ) @ ( relation_of_lattice @ A ) )
                <=> ( below_refl @ A @ B @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t32_filter_1]) ).

thf(zip_derived_cl59,plain,
    ( ( below_refl @ sk__11 @ sk__12 @ sk__13 )
    | ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ( ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(antisymmetry_r2_hidden,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).

thf(zip_derived_cl72,plain,
    ( ~ ( in @ ( relation_of_lattice @ sk__11 ) @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl0]) ).

thf(zip_derived_cl124,plain,
    ( ( ~ ( element @ ( relation_of_lattice @ sk__11 ) @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) )
      | ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl72]) ).

thf(zip_derived_cl209,plain,
    ( ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) )
   <= ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl124]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl215,plain,
    ( ( ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 )
      = empty_set )
   <= ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl63]) ).

thf(dt_k1_domain_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ~ ( empty @ A )
        & ~ ( empty @ B )
        & ( element @ C @ A )
        & ( element @ D @ B ) )
     => ( element @ ( ordered_pair_as_product_element @ A @ B @ C @ D ) @ ( cartesian_product2 @ A @ B ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( empty @ X2 )
      | ( empty @ X1 )
      | ~ ( element @ X3 @ X2 )
      | ( element @ ( ordered_pair_as_product_element @ X1 @ X2 @ X0 @ X3 ) @ ( cartesian_product2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_domain_1]) ).

thf(zip_derived_cl224,plain,
    ( ( ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
      | ( element @ empty_set @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ) )
   <= ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl13]) ).

thf(zip_derived_cl60,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    element @ sk__13 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ( ( ( empty @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ( element @ empty_set @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ) )
   <= ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl60,zip_derived_cl57]) ).

thf(zip_derived_cl247,plain,
    ( ( ( element @ empty_set @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) )
      | ( empty @ ( the_carrier @ sk__11 ) ) )
   <= ( empty @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl249,plain,
    ( ( empty @ ( the_carrier @ sk__11 ) )
   <= ( empty @ ( the_carrier @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl247]) ).

thf(dt_l3_lattices,axiom,
    ! [A: $i] :
      ( ( latt_str @ A )
     => ( ( meet_semilatt_str @ A )
        & ( join_semilatt_str @ A ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( meet_semilatt_str @ X0 )
      | ~ ( latt_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(dt_l1_lattices,axiom,
    ! [A: $i] :
      ( ( meet_semilatt_str @ A )
     => ( one_sorted_str @ A ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( one_sorted_str @ X0 )
      | ~ ( meet_semilatt_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_lattices]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ~ ( latt_str @ X0 )
      | ( one_sorted_str @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl20]) ).

thf(fc1_struct_0,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( one_sorted_str @ A ) )
     => ~ ( empty @ ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( empty @ ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_struct_0]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ~ ( latt_str @ X0 )
      | ~ ( empty @ ( the_carrier @ X0 ) )
      | ( empty_carrier @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl32]) ).

thf(zip_derived_cl253,plain,
    ( ( ~ ( latt_str @ sk__11 )
      | ( empty_carrier @ sk__11 ) )
   <= ( empty @ ( the_carrier @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl92]) ).

thf(zip_derived_cl56,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ~ ( empty @ ( the_carrier @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl56,zip_derived_cl54]) ).

thf(redefinition_k1_domain_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ~ ( empty @ A )
        & ~ ( empty @ B )
        & ( element @ C @ A )
        & ( element @ D @ B ) )
     => ( ( ordered_pair_as_product_element @ A @ B @ C @ D )
        = ( ordered_pair @ C @ D ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( empty @ X2 )
      | ( empty @ X1 )
      | ~ ( element @ X3 @ X2 )
      | ( ( ordered_pair_as_product_element @ X1 @ X2 @ X0 @ X3 )
        = ( ordered_pair @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k1_domain_1]) ).

thf(zip_derived_cl68_001,plain,
    ( ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl363,plain,
    ( ( ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
      | ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl68]) ).

thf(zip_derived_cl57_002,plain,
    element @ sk__13 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60_003,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl392,plain,
    ( ( ( empty @ ( the_carrier @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) )
      | ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl57,zip_derived_cl60]) ).

thf(zip_derived_cl393,plain,
    ( ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
      | ( empty @ ( the_carrier @ sk__11 ) ) )
   <= ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl392]) ).

thf('1',plain,
    ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
    | ( empty @ ( the_carrier @ sk__11 ) )
    | ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl393]) ).

thf(zip_derived_cl58,plain,
    ( ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
    | ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
    | ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(d8_filter_1,axiom,
    ! [A: $i] :
      ( ( ~ ( empty_carrier @ A )
        & ( lattice @ A )
        & ( latt_str @ A ) )
     => ( ( relation_of_lattice @ A )
        = ( a_1_0_filter_1 @ A ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( ( relation_of_lattice @ X0 )
        = ( a_1_0_filter_1 @ X0 ) )
      | ~ ( latt_str @ X0 )
      | ~ ( lattice @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[d8_filter_1]) ).

thf(zip_derived_cl688,plain,
    ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl393]) ).

thf(zip_derived_cl695,plain,
    ( ( ( empty_carrier @ sk__11 )
      | ~ ( lattice @ sk__11 )
      | ~ ( latt_str @ sk__11 )
      | ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl688]) ).

thf(zip_derived_cl54_004,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_005,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl697,plain,
    ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl46_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( empty @ X2 )
      | ( empty @ X1 )
      | ~ ( element @ X3 @ X2 )
      | ( ( ordered_pair_as_product_element @ X1 @ X2 @ X0 @ X3 )
        = ( ordered_pair @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k1_domain_1]) ).

thf(fraenkel_a_1_0_filter_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( empty_carrier @ B )
        & ( lattice @ B )
        & ( latt_str @ B ) )
     => ( ( in @ A @ ( a_1_0_filter_1 @ B ) )
      <=> ? [C: $i,D: $i] :
            ( ( below_refl @ B @ C @ D )
            & ( A
              = ( ordered_pair_as_product_element @ ( the_carrier @ B ) @ ( the_carrier @ B ) @ C @ D ) )
            & ( element @ D @ ( the_carrier @ B ) )
            & ( element @ C @ ( the_carrier @ B ) ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X0
        = ( ordered_pair_as_product_element @ ( the_carrier @ X1 ) @ ( the_carrier @ X1 ) @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_0_filter_1]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ ( sk__6 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ( empty @ ( the_carrier @ X1 ) )
      | ( empty @ ( the_carrier @ X1 ) )
      | ~ ( element @ ( sk__5 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl39]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ X1 )
      | ~ ( lattice @ X1 )
      | ~ ( latt_str @ X1 )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ~ ( element @ ( sk__5 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ( empty @ ( the_carrier @ X1 ) )
      | ~ ( element @ ( sk__6 @ X1 @ X0 ) @ ( the_carrier @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl361]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( element @ ( sk__5 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_0_filter_1]) ).

thf(zip_derived_cl1071,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ ( sk__6 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ( empty @ ( the_carrier @ X1 ) )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl389,zip_derived_cl41]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( element @ ( sk__6 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_0_filter_1]) ).

thf(zip_derived_cl1072,plain,
    ! [X0: $i,X1: $i] :
      ( ( empty_carrier @ X1 )
      | ~ ( lattice @ X1 )
      | ~ ( latt_str @ X1 )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( empty @ ( the_carrier @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1071,zip_derived_cl40]) ).

thf(zip_derived_cl92_007,plain,
    ! [X0: $i] :
      ( ~ ( latt_str @ X0 )
      | ~ ( empty @ ( the_carrier @ X0 ) )
      | ( empty_carrier @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl32]) ).

thf(zip_derived_cl1073,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1072,zip_derived_cl92]) ).

thf(t33_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( ordered_pair @ A @ B )
        = ( ordered_pair @ C @ D ) )
     => ( ( A = C )
        & ( B = D ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( ( ordered_pair @ X3 @ X1 )
       != ( ordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[t33_zfmisc_1]) ).

thf(zip_derived_cl1076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( empty_carrier @ X1 )
      | ~ ( lattice @ X1 )
      | ~ ( latt_str @ X1 )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X2
        = ( sk__6 @ X1 @ X0 ) )
      | ( ( ordered_pair @ X3 @ X2 )
       != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1073,zip_derived_cl62]) ).

thf(zip_derived_cl3012,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( empty_carrier @ sk__11 )
        | ~ ( lattice @ sk__11 )
        | ~ ( latt_str @ sk__11 )
        | ( X0
          = ( sk__6 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
        | ( ( ordered_pair @ X1 @ X0 )
         != ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl1076]) ).

thf(zip_derived_cl54_008,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_009,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_010,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3028,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( X0
          = ( sk__6 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
        | ( ( ordered_pair @ X1 @ X0 )
         != ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3012,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl3386,plain,
    ( ( sk__13
      = ( sk__6 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3028]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( below_refl @ X1 @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_0_filter_1]) ).

thf(zip_derived_cl3387,plain,
    ( ( ~ ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) )
      | ( below_refl @ sk__11 @ ( sk__5 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) @ sk__13 )
      | ~ ( latt_str @ sk__11 )
      | ~ ( lattice @ sk__11 )
      | ( empty_carrier @ sk__11 ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3386,zip_derived_cl38]) ).

thf(zip_derived_cl697_011,plain,
    ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl697_012,plain,
    ( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl1073_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X0
        = ( ordered_pair @ ( sk__5 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1072,zip_derived_cl92]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( ( ordered_pair @ X1 @ X3 )
       != ( ordered_pair @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t33_zfmisc_1]) ).

thf(zip_derived_cl1074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( empty_carrier @ X1 )
      | ~ ( lattice @ X1 )
      | ~ ( latt_str @ X1 )
      | ~ ( in @ X0 @ ( a_1_0_filter_1 @ X1 ) )
      | ( X3
        = ( sk__5 @ X1 @ X0 ) )
      | ( ( ordered_pair @ X3 @ X2 )
       != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1073,zip_derived_cl61]) ).

thf(zip_derived_cl2916,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( empty_carrier @ sk__11 )
        | ~ ( lattice @ sk__11 )
        | ~ ( latt_str @ sk__11 )
        | ( X0
          = ( sk__5 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
        | ( ( ordered_pair @ X0 @ X1 )
         != ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl1074]) ).

thf(zip_derived_cl54_014,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_015,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_016,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2932,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( X0
          = ( sk__5 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
        | ( ( ordered_pair @ X0 @ X1 )
         != ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2916,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl3293,plain,
    ( ( sk__12
      = ( sk__5 @ sk__11 @ ( ordered_pair @ sk__12 @ sk__13 ) ) )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2932]) ).

thf(zip_derived_cl56_017,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_018,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_019,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3399,plain,
    ( ( below_refl @ sk__11 @ sk__12 @ sk__13 )
   <= ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3387,zip_derived_cl697,zip_derived_cl3293,zip_derived_cl56,zip_derived_cl55,zip_derived_cl54]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
   <= ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('3',plain,
    ( ~ ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
    | ( below_refl @ sk__11 @ sk__12 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3399,zip_derived_cl67]) ).

thf('4',plain,
    ( ( below_refl @ sk__11 @ sk__12 @ sk__13 )
    | ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ( X3
       != ( ordered_pair_as_product_element @ ( the_carrier @ X1 ) @ ( the_carrier @ X1 ) @ X0 @ X2 ) )
      | ~ ( below_refl @ X1 @ X0 @ X2 )
      | ( in @ X3 @ ( a_1_0_filter_1 @ X1 ) )
      | ~ ( latt_str @ X1 )
      | ~ ( lattice @ X1 )
      | ( empty_carrier @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_0_filter_1]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( empty_carrier @ X0 )
      | ~ ( lattice @ X0 )
      | ~ ( latt_str @ X0 )
      | ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ X0 ) @ ( the_carrier @ X0 ) @ X2 @ X1 ) @ ( a_1_0_filter_1 @ X0 ) )
      | ~ ( below_refl @ X0 @ X2 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl12_020,plain,
    ! [X0: $i] :
      ( ( ( relation_of_lattice @ X0 )
        = ( a_1_0_filter_1 @ X0 ) )
      | ~ ( latt_str @ X0 )
      | ~ ( lattice @ X0 )
      | ( empty_carrier @ X0 ) ),
    inference(cnf,[status(esa)],[d8_filter_1]) ).

thf(zip_derived_cl66,plain,
    ( ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) )
   <= ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl106,plain,
    ( ( ( empty_carrier @ sk__11 )
      | ~ ( lattice @ sk__11 )
      | ~ ( latt_str @ sk__11 )
      | ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) ) )
   <= ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl66]) ).

thf(zip_derived_cl54_021,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_022,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_023,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( a_1_0_filter_1 @ sk__11 ) )
   <= ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl54,zip_derived_cl55,zip_derived_cl56]) ).

thf(zip_derived_cl958,plain,
    ( ( ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
      | ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
      | ~ ( latt_str @ sk__11 )
      | ~ ( lattice @ sk__11 )
      | ( empty_carrier @ sk__11 ) )
   <= ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl111]) ).

thf(zip_derived_cl60_024,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_025,plain,
    element @ sk__13 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56_026,plain,
    latt_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_027,plain,
    lattice @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_028,plain,
    ~ ( empty_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl967,plain,
    ( ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
   <= ~ ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl958,zip_derived_cl60,zip_derived_cl57,zip_derived_cl56,zip_derived_cl55,zip_derived_cl54]) ).

thf(zip_derived_cl69,plain,
    ( ( below_refl @ sk__11 @ sk__12 @ sk__13 )
   <= ( below_refl @ sk__11 @ sk__12 @ sk__13 ) ),
    inference(split,[status(esa)],[zip_derived_cl59]) ).

thf('5',plain,
    ( ~ ( below_refl @ sk__11 @ sk__12 @ sk__13 )
    | ( in @ ( ordered_pair_as_product_element @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) @ sk__12 @ sk__13 ) @ ( relation_of_lattice @ sk__11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl69]) ).

thf(zip_derived_cl3457,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU342+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yC4x88hns3 true
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 16:11:08 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.57/0.68  % Total configuration time : 435
% 0.57/0.68  % Estimated wc time : 1092
% 0.57/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.70/1.91  % Solved by fo/fo1_av.sh.
% 8.70/1.91  % done 1249 iterations in 1.104s
% 8.70/1.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.70/1.91  % SZS output start Refutation
% See solution above
% 8.70/1.92  
% 8.70/1.92  
% 8.70/1.92  % Terminating...
% 9.48/2.00  % Runner terminated.
% 9.48/2.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------