TSTP Solution File: LAT297+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT297+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HrVXNQjSeK true

% Computer : n028.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 06:46:40 EDT 2023

% Result   : Theorem 5.98s 1.45s
% Output   : Refutation 5.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  131 (  34 unt;  25 typ;   0 def)
%            Number of atoms       :  391 (  16 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1514 ( 218   ~; 222   |;  32   &;1011   @)
%                                         (   4 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   3 con; 0-3 aty)
%            Number of variables   :  138 (   0   ^; 138   !;   0   ?; 138   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v6_lattices_type,type,
    v6_lattices: $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(v3_struct_0_type,type,
    v3_struct_0: $i > $o ).

thf(v1_xboole_0_type,type,
    v1_xboole_0: $i > $o ).

thf(k1_lattices_type,type,
    k1_lattices: $i > $i > $i > $i ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(v4_lattices_type,type,
    v4_lattices: $i > $o ).

thf(k2_lattices_type,type,
    k2_lattices: $i > $i > $i > $i ).

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(v10_lattices_type,type,
    v10_lattices: $i > $o ).

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(v8_lattices_type,type,
    v8_lattices: $i > $o ).

thf(v7_lattices_type,type,
    v7_lattices: $i > $o ).

thf(u1_struct_0_type,type,
    u1_struct_0: $i > $i ).

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

thf(l3_lattices_type,type,
    l3_lattices: $i > $o ).

thf(k3_lattices_type,type,
    k3_lattices: $i > $i > $i > $i ).

thf(v5_lattices_type,type,
    v5_lattices: $i > $o ).

thf(v9_lattices_type,type,
    v9_lattices: $i > $o ).

thf(l2_lattices_type,type,
    l2_lattices: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(k4_lattices_type,type,
    k4_lattices: $i > $i > $i > $i ).

thf(m2_lattice4_type,type,
    m2_lattice4: $i > $i > $o ).

thf(l1_lattices_type,type,
    l1_lattices: $i > $o ).

thf(dt_l3_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( l1_lattices @ A )
        & ( l2_lattices @ A ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( l2_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(t13_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( ( r2_hidden @ C @ B )
                        & ( r2_hidden @ D @ B ) )
                    <=> ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B ) ) ) )
           => ( m2_lattice4 @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( l3_lattices @ A ) )
       => ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
           => ( ! [C: $i] :
                  ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
                 => ! [D: $i] :
                      ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                     => ( ( ( r2_hidden @ C @ B )
                          & ( r2_hidden @ D @ B ) )
                      <=> ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B ) ) ) )
             => ( m2_lattice4 @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t13_filter_2]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( r2_hidden @ X0 @ sk__21 )
      | ( r2_hidden @ ( k4_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108,plain,
    m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t4_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r2_hidden @ A @ B )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
     => ( m1_subset_1 @ A @ C ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ( m1_subset_1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_subset]) ).

thf(zip_derived_cl1064,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl1106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ( r2_hidden @ ( k4_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( r2_hidden @ X0 @ sk__21 )
      | ~ ( r2_hidden @ X1 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl1064]) ).

thf(zip_derived_cl1064_001,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl1107,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( r2_hidden @ X0 @ sk__21 )
      | ( r2_hidden @ ( k4_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1106,zip_derived_cl1064]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ A @ B )
     => ( ( v1_xboole_0 @ B )
        | ( r2_hidden @ A @ B ) ) ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ X0 @ X1 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(d10_lattice4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ( m2_lattice4 @ B @ A )
          <=> ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( ( r2_hidden @ C @ B )
                        & ( r2_hidden @ D @ B ) )
                     => ( ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B )
                        & ( r2_hidden @ ( k3_lattices @ A @ C @ D ) @ B ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( r2_hidden @ ( k3_lattices @ X1 @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ~ ( r2_hidden @ ( k4_lattices @ X1 @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ( m2_lattice4 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d10_lattice4]) ).

thf(zip_derived_cl107,plain,
    ~ ( m2_lattice4 @ sk__21 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl847,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v10_lattices @ sk__20 )
    | ~ ( l3_lattices @ sk__20 )
    | ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( r2_hidden @ ( k3_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl107]) ).

thf(zip_derived_cl101,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    v10_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108_002,plain,
    m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1487,plain,
    ( ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( r2_hidden @ ( k3_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl847,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(zip_derived_cl1489,plain,
    ( ~ ( m1_subset_1 @ ( k3_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ( v1_xboole_0 @ sk__21 )
    | ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl1487]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( r2_hidden @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( m2_lattice4 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d10_lattice4]) ).

thf(zip_derived_cl107_003,plain,
    ~ ( m2_lattice4 @ sk__21 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl851,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v10_lattices @ sk__20 )
    | ~ ( l3_lattices @ sk__20 )
    | ( r2_hidden @ ( sk__1 @ sk__21 @ sk__20 ) @ sk__21 )
    | ~ ( m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl107]) ).

thf(zip_derived_cl101_004,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_005,plain,
    v10_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_006,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108_007,plain,
    m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182,plain,
    r2_hidden @ ( sk__1 @ sk__21 @ sk__20 ) @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl851,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(t7_boole,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( r2_hidden @ A @ B )
        & ( v1_xboole_0 @ B ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ~ ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl1185,plain,
    ~ ( v1_xboole_0 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl99]) ).

thf(zip_derived_cl1490,plain,
    ( ~ ( m1_subset_1 @ ( k3_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1489,zip_derived_cl1185]) ).

thf(cc1_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v4_lattices @ A )
          & ( v5_lattices @ A )
          & ( v6_lattices @ A )
          & ( v7_lattices @ A )
          & ( v8_lattices @ A )
          & ( v9_lattices @ A ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v4_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_lattices]) ).

thf(redefinition_k3_lattices,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v4_lattices @ A )
        & ( l2_lattices @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
     => ( ( k3_lattices @ A @ B @ C )
        = ( k1_lattices @ A @ B @ C ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l2_lattices @ X1 )
      | ~ ( v4_lattices @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( ( k3_lattices @ X1 @ X0 @ X2 )
        = ( k1_lattices @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k3_lattices]) ).

thf(zip_derived_cl768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( ( k3_lattices @ X0 @ X1 @ X2 )
        = ( k1_lattices @ X0 @ X1 @ X2 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( l2_lattices @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl91]) ).

thf(zip_derived_cl1313,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l2_lattices @ X0 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( ( k3_lattices @ X0 @ X1 @ X2 )
        = ( k1_lattices @ X0 @ X1 @ X2 ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl768]) ).

thf(zip_derived_cl35_008,plain,
    ! [X0: $i] :
      ( ( l2_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl1314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( ( k3_lattices @ X0 @ X1 @ X2 )
        = ( k1_lattices @ X0 @ X1 @ X2 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1313,zip_derived_cl35]) ).

thf(dt_k1_lattices,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l2_lattices @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
     => ( m1_subset_1 @ ( k1_lattices @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l2_lattices @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( m1_subset_1 @ ( k1_lattices @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_lattices]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v6_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_lattices]) ).

thf(redefinition_k4_lattices,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v6_lattices @ A )
        & ( l1_lattices @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
     => ( ( k4_lattices @ A @ B @ C )
        = ( k2_lattices @ A @ B @ C ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_lattices @ X1 )
      | ~ ( v6_lattices @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( ( k4_lattices @ X1 @ X0 @ X2 )
        = ( k2_lattices @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k4_lattices]) ).

thf(zip_derived_cl773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( ( k4_lattices @ X0 @ X1 @ X2 )
        = ( k2_lattices @ X0 @ X1 @ X2 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( l1_lattices @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl92]) ).

thf(zip_derived_cl1325,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_lattices @ X0 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( ( k4_lattices @ X0 @ X1 @ X2 )
        = ( k2_lattices @ X0 @ X1 @ X2 ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl773]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( l1_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl1326,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( ( k4_lattices @ X0 @ X1 @ X2 )
        = ( k2_lattices @ X0 @ X1 @ X2 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1325,zip_derived_cl34]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v9_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_lattices]) ).

thf(d9_lattices,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v9_lattices @ A )
      <=> ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ( ( k2_lattices @ A @ B @ ( k1_lattices @ A @ B @ C ) )
                  = B ) ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v9_lattices @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( ( k2_lattices @ X0 @ X2 @ ( k1_lattices @ X0 @ X2 @ X1 ) )
        = X2 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[d9_lattices]) ).

thf(zip_derived_cl760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( ( k2_lattices @ X0 @ X2 @ ( k1_lattices @ X0 @ X2 @ X1 ) )
        = X2 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl26]) ).

thf(zip_derived_cl1199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( ( k2_lattices @ X0 @ X2 @ ( k1_lattices @ X0 @ X2 @ X1 ) )
        = X2 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl760]) ).

thf(zip_derived_cl1328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k4_lattices @ X2 @ X1 @ ( k1_lattices @ X2 @ X1 @ X0 ) )
        = X1 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X2 ) )
      | ~ ( m1_subset_1 @ ( k1_lattices @ X2 @ X1 @ X0 ) @ ( u1_struct_0 @ X2 ) )
      | ( v3_struct_0 @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ~ ( l3_lattices @ X2 )
      | ~ ( l3_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X2 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl1199]) ).

thf(zip_derived_cl1333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X2 ) )
      | ~ ( l3_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ~ ( m1_subset_1 @ ( k1_lattices @ X2 @ X1 @ X0 ) @ ( u1_struct_0 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X2 ) )
      | ( ( k4_lattices @ X2 @ X1 @ ( k1_lattices @ X2 @ X1 @ X0 ) )
        = X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1328]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ( r2_hidden @ X0 @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2762,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v10_lattices @ sk__20 )
      | ~ ( l3_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( r2_hidden @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ sk__21 )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1333,zip_derived_cl106]) ).

thf(zip_derived_cl101_009,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_010,plain,
    v10_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_011,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2780,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( r2_hidden @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ sk__21 )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2762,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl2781,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2780]) ).

thf(zip_derived_cl1064_012,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl3090,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__21 )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ( r2_hidden @ ( k1_lattices @ sk__20 @ X0 @ X1 ) @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2781,zip_derived_cl1064]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( r2_hidden @ A @ B )
     => ( m1_subset_1 @ A @ B ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ X0 @ X1 )
      | ~ ( r2_hidden @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl3092,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3090,zip_derived_cl95]) ).

thf(zip_derived_cl3473,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( l2_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl3092]) ).

thf(zip_derived_cl101_013,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3475,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( l2_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3473,zip_derived_cl101]) ).

thf(zip_derived_cl3476,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ sk__21 )
      | ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( l2_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3475]) ).

thf(zip_derived_cl1064_014,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl3532,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( l2_lattices @ sk__20 )
      | ( m1_subset_1 @ ( k1_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( r2_hidden @ X1 @ sk__21 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3476,zip_derived_cl1064]) ).

thf(zip_derived_cl3535,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( k3_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v10_lattices @ sk__20 )
      | ~ ( l3_lattices @ sk__20 )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( l2_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1314,zip_derived_cl3532]) ).

thf(zip_derived_cl101_015,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_016,plain,
    v10_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_017,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3536,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( k3_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( l2_lattices @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3535,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103]) ).

thf(zip_derived_cl3537,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l2_lattices @ sk__20 )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__20 ) )
      | ( m1_subset_1 @ ( k3_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3536]) ).

thf(zip_derived_cl1064_018,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl3687,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( k3_lattices @ sk__20 @ X1 @ X0 ) @ sk__21 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X1 @ sk__21 )
      | ~ ( l2_lattices @ sk__20 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3537,zip_derived_cl1064]) ).

thf(zip_derived_cl3691,plain,
    ( ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( l2_lattices @ sk__20 )
    | ~ ( r2_hidden @ ( sk_ @ sk__21 @ sk__20 ) @ sk__21 )
    | ~ ( m1_subset_1 @ ( sk__1 @ sk__21 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1490,zip_derived_cl3687]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( r2_hidden @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ( m2_lattice4 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d10_lattice4]) ).

thf(zip_derived_cl107_019,plain,
    ~ ( m2_lattice4 @ sk__21 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl855,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v10_lattices @ sk__20 )
    | ~ ( l3_lattices @ sk__20 )
    | ( r2_hidden @ ( sk_ @ sk__21 @ sk__20 ) @ sk__21 )
    | ~ ( m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl107]) ).

thf(zip_derived_cl101_020,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_021,plain,
    v10_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_022,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108_023,plain,
    m1_subset_1 @ sk__21 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1214,plain,
    r2_hidden @ ( sk_ @ sk__21 @ sk__20 ) @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(zip_derived_cl1182_024,plain,
    r2_hidden @ ( sk__1 @ sk__21 @ sk__20 ) @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl851,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(zip_derived_cl1064_025,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( r2_hidden @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl97]) ).

thf(zip_derived_cl1188,plain,
    m1_subset_1 @ ( sk__1 @ sk__21 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl1182,zip_derived_cl1064]) ).

thf(zip_derived_cl3694,plain,
    ( ~ ( r2_hidden @ ( k4_lattices @ sk__20 @ ( sk_ @ sk__21 @ sk__20 ) @ ( sk__1 @ sk__21 @ sk__20 ) ) @ sk__21 )
    | ~ ( l2_lattices @ sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3691,zip_derived_cl1214,zip_derived_cl1188]) ).

thf(zip_derived_cl3706,plain,
    ( ~ ( r2_hidden @ ( sk__1 @ sk__21 @ sk__20 ) @ sk__21 )
    | ~ ( r2_hidden @ ( sk_ @ sk__21 @ sk__20 ) @ sk__21 )
    | ~ ( l2_lattices @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl3694]) ).

thf(zip_derived_cl1182_026,plain,
    r2_hidden @ ( sk__1 @ sk__21 @ sk__20 ) @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl851,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(zip_derived_cl1214_027,plain,
    r2_hidden @ ( sk_ @ sk__21 @ sk__20 ) @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl855,zip_derived_cl101,zip_derived_cl102,zip_derived_cl103,zip_derived_cl108]) ).

thf(zip_derived_cl3708,plain,
    ~ ( l2_lattices @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl3706,zip_derived_cl1182,zip_derived_cl1214]) ).

thf(zip_derived_cl3712,plain,
    ~ ( l3_lattices @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl3708]) ).

thf(zip_derived_cl103_028,plain,
    l3_lattices @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3713,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3712,zip_derived_cl103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT297+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HrVXNQjSeK true
% 0.17/0.36  % Computer : n028.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Thu Aug 24 06:25:49 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.98/1.45  % Solved by fo/fo3_bce.sh.
% 5.98/1.45  % BCE start: 109
% 5.98/1.45  % BCE eliminated: 15
% 5.98/1.45  % PE start: 94
% 5.98/1.45  logic: eq
% 5.98/1.45  % PE eliminated: -17
% 5.98/1.45  % done 739 iterations in 0.652s
% 5.98/1.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.98/1.45  % SZS output start Refutation
% See solution above
% 5.98/1.45  
% 5.98/1.45  
% 5.98/1.45  % Terminating...
% 6.45/1.57  % Runner terminated.
% 6.45/1.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------