TSTP Solution File: LAT291+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TgbK4zOHYE true

% Computer : n003.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 06:46:37 EDT 2023

% Result   : Theorem 8.58s 1.82s
% Output   : Refutation 8.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  127 (  50 unt;  21 typ;   0 def)
%            Number of atoms       :  390 (  65 equ;  43 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1194 ( 124   ~;  78   |; 119   &; 829   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  21 usr;   5 con; 0-4 aty)
%                                         (  13  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   57 (  13   ^;  44   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v3_realset2_type,type,
    v3_realset2: $i > $o ).

thf(k5_lattices_type,type,
    k5_lattices: $i > $i ).

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

thf(a_1_1_lopclset_type,type,
    a_1_1_lopclset: $i > $i ).

thf(k8_lopclset_type,type,
    k8_lopclset: $i > $i ).

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

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

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

thf(k7_lattices_type,type,
    k7_lattices: $i > $i > $i ).

thf(k4_xboole_0_type,type,
    k4_xboole_0: $i > $i > $i ).

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

thf(k1_xboole_0_type,type,
    k1_xboole_0: $i ).

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

thf(k8_funct_2_type,type,
    k8_funct_2: $i > $i > $i > $i > $i ).

thf(v17_lattices_type,type,
    v17_lattices: $i > $o ).

thf(k6_lattices_type,type,
    k6_lattices: $i > $i ).

thf(k9_lopclset_type,type,
    k9_lopclset: $i > $i ).

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

thf('#sk1_type',type,
    '#sk1': $i ).

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

thf(k7_lopclset_type,type,
    k7_lopclset: $i > $i ).

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

thf(zip_derived_cl48,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( l3_lattices @ Y0 )
       => ( ( l2_lattices @ Y0 )
          & ( l1_lattices @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_l3_lattices]) ).

thf(zip_derived_cl207,plain,
    ! [X2: $i] :
      ( ( l3_lattices @ X2 )
     => ( ( l2_lattices @ X2 )
        & ( l1_lattices @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl208,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ( ( l2_lattices @ X2 )
        & ( l1_lattices @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).

thf(zip_derived_cl210,plain,
    ! [X2: $i] :
      ( ( l1_lattices @ X2 )
      | ~ ( l3_lattices @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl208]) ).

thf(t37_lopclset,conjecture,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ ( k6_lattices @ A ) )
        = ( k7_lopclset @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( l3_lattices @ A )
          & ~ ( v3_realset2 @ A )
          & ( v17_lattices @ A )
          & ( v10_lattices @ A )
          & ~ ( v3_struct_0 @ A ) )
       => ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ ( k6_lattices @ A ) )
          = ( k7_lopclset @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t37_lopclset]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( ( l3_lattices @ Y0 )
            & ( (~) @ ( v3_realset2 @ Y0 ) )
            & ( v17_lattices @ Y0 )
            & ( v10_lattices @ Y0 )
            & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
         => ( ( k8_funct_2 @ ( u1_struct_0 @ Y0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ Y0 ) ) @ ( k9_lopclset @ Y0 ) @ ( k6_lattices @ Y0 ) )
            = ( k7_lopclset @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ~ ( ( ( l3_lattices @ '#sk1' )
        & ( (~) @ ( v3_realset2 @ '#sk1' ) )
        & ( v17_lattices @ '#sk1' )
        & ( v10_lattices @ '#sk1' )
        & ( (~) @ ( v3_struct_0 @ '#sk1' ) ) )
     => ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) )
        = ( k7_lopclset @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl102,plain,
    ( ( l3_lattices @ '#sk1' )
    & ( (~) @ ( v3_realset2 @ '#sk1' ) )
    & ( v17_lattices @ '#sk1' )
    & ( v10_lattices @ '#sk1' )
    & ( (~) @ ( v3_struct_0 @ '#sk1' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl104,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl228,plain,
    l1_lattices @ '#sk1',
    inference('s_sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl104]) ).

thf(dt_k5_lattices,axiom,
    ! [A: $i] :
      ( ( ( l1_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( m1_subset_1 @ ( k5_lattices @ A ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl38,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l1_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( m1_subset_1 @ ( k5_lattices @ Y0 ) @ ( u1_struct_0 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k5_lattices]) ).

thf(zip_derived_cl756,plain,
    ! [X2: $i] :
      ( ( ( l1_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( m1_subset_1 @ ( k5_lattices @ X2 ) @ ( u1_struct_0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl757,plain,
    ! [X2: $i] :
      ( ~ ( ( l1_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( m1_subset_1 @ ( k5_lattices @ X2 ) @ ( u1_struct_0 @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl756]) ).

thf(zip_derived_cl758,plain,
    ! [X2: $i] :
      ( ~ ( l1_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( m1_subset_1 @ ( k5_lattices @ X2 ) @ ( u1_struct_0 @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl757]) ).

thf(zip_derived_cl759,plain,
    ( ( v3_struct_0 @ '#sk1' )
    | ( m1_subset_1 @ ( k5_lattices @ '#sk1' ) @ ( u1_struct_0 @ '#sk1' ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl758]) ).

thf(zip_derived_cl108,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl762,plain,
    m1_subset_1 @ ( k5_lattices @ '#sk1' ) @ ( u1_struct_0 @ '#sk1' ),
    inference(demod,[status(thm)],[zip_derived_cl759,zip_derived_cl108]) ).

thf(t28_lopclset,axiom,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ( ( k4_xboole_0 @ ( k7_lopclset @ A ) @ ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ B ) )
            = ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ ( k7_lattices @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl88,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l3_lattices @ Y0 )
          & ( (~) @ ( v3_realset2 @ Y0 ) )
          & ( v17_lattices @ Y0 )
          & ( v10_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( !!
          @ ^ [Y1: $i] :
              ( ( m1_subset_1 @ Y1 @ ( u1_struct_0 @ Y0 ) )
             => ( ( k4_xboole_0 @ ( k7_lopclset @ Y0 ) @ ( k8_funct_2 @ ( u1_struct_0 @ Y0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ Y0 ) ) @ ( k9_lopclset @ Y0 ) @ Y1 ) )
                = ( k8_funct_2 @ ( u1_struct_0 @ Y0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ Y0 ) ) @ ( k9_lopclset @ Y0 ) @ ( k7_lattices @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[t28_lopclset]) ).

thf(zip_derived_cl1450,plain,
    ! [X2: $i] :
      ( ( ( l3_lattices @ X2 )
        & ( (~) @ ( v3_realset2 @ X2 ) )
        & ( v17_lattices @ X2 )
        & ( v10_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( m1_subset_1 @ Y0 @ ( u1_struct_0 @ X2 ) )
           => ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ Y0 ) )
              = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl1451,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( m1_subset_1 @ Y0 @ ( u1_struct_0 @ X2 ) )
           => ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ Y0 ) )
              = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1450]) ).

thf(zip_derived_cl1452,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( m1_subset_1 @ Y0 @ ( u1_struct_0 @ X2 ) )
           => ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ Y0 ) )
              = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1451]) ).

thf(zip_derived_cl1453,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( m1_subset_1 @ X4 @ ( u1_struct_0 @ X2 ) )
       => ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ X4 ) )
          = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ X4 ) ) ) )
      | ( v3_struct_0 @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( l3_lattices @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1452]) ).

thf(zip_derived_cl1454,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X4 @ ( u1_struct_0 @ X2 ) )
      | ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ X4 ) )
        = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ X4 ) ) )
      | ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1453]) ).

thf(zip_derived_cl1455,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X4 @ ( u1_struct_0 @ X2 ) )
      | ( ( k4_xboole_0 @ ( k7_lopclset @ X2 ) @ ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ X4 ) )
        = ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k7_lattices @ X2 @ X4 ) ) )
      | ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1454]) ).

thf(zip_derived_cl1460,plain,
    ( ( ( k4_xboole_0 @ ( k7_lopclset @ '#sk1' ) @ ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k5_lattices @ '#sk1' ) ) )
      = ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k7_lattices @ '#sk1' @ ( k5_lattices @ '#sk1' ) ) ) )
    | ~ ( l3_lattices @ '#sk1' )
    | ( v3_realset2 @ '#sk1' )
    | ~ ( v17_lattices @ '#sk1' )
    | ~ ( v10_lattices @ '#sk1' )
    | ( v3_struct_0 @ '#sk1' ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl1455]) ).

thf(zip_derived_cl104_001,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(d5_lopclset,axiom,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( ( k7_lopclset @ A )
        = ( a_1_1_lopclset @ A ) ) ) ).

thf(zip_derived_cl32,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l3_lattices @ Y0 )
          & ( (~) @ ( v3_realset2 @ Y0 ) )
          & ( v17_lattices @ Y0 )
          & ( v10_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( ( k7_lopclset @ Y0 )
          = ( a_1_1_lopclset @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[d5_lopclset]) ).

thf(zip_derived_cl803,plain,
    ! [X2: $i] :
      ( ( ( l3_lattices @ X2 )
        & ( (~) @ ( v3_realset2 @ X2 ) )
        & ( v17_lattices @ X2 )
        & ( v10_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( ( k7_lopclset @ X2 )
        = ( a_1_1_lopclset @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl804,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k7_lopclset @ X2 )
        = ( a_1_1_lopclset @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl803]) ).

thf(zip_derived_cl805,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k7_lopclset @ X2 )
        = ( a_1_1_lopclset @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl804]) ).

thf(zip_derived_cl806,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( ( k7_lopclset @ X2 )
        = ( a_1_1_lopclset @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl805]) ).

thf(zip_derived_cl807,plain,
    ( ( v3_realset2 @ '#sk1' )
    | ~ ( v17_lattices @ '#sk1' )
    | ~ ( v10_lattices @ '#sk1' )
    | ( v3_struct_0 @ '#sk1' )
    | ( ( k7_lopclset @ '#sk1' )
      = ( a_1_1_lopclset @ '#sk1' ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl806]) ).

thf(zip_derived_cl105,plain,
    ~ ( v3_realset2 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl106,plain,
    v17_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl107,plain,
    v10_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl809,plain,
    ( ( v3_struct_0 @ '#sk1' )
    | ( ( k7_lopclset @ '#sk1' )
      = ( a_1_1_lopclset @ '#sk1' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl807,zip_derived_cl105,zip_derived_cl106,zip_derived_cl107]) ).

thf(zip_derived_cl108_002,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl810,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl810_003,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl104_004,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(redefinition_k9_lopclset,axiom,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( ( k9_lopclset @ A )
        = ( k8_lopclset @ A ) ) ) ).

thf(zip_derived_cl84,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l3_lattices @ Y0 )
          & ( (~) @ ( v3_realset2 @ Y0 ) )
          & ( v17_lattices @ Y0 )
          & ( v10_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( ( k9_lopclset @ Y0 )
          = ( k8_lopclset @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k9_lopclset]) ).

thf(zip_derived_cl1420,plain,
    ! [X2: $i] :
      ( ( ( l3_lattices @ X2 )
        & ( (~) @ ( v3_realset2 @ X2 ) )
        & ( v17_lattices @ X2 )
        & ( v10_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( ( k9_lopclset @ X2 )
        = ( k8_lopclset @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl1421,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k9_lopclset @ X2 )
        = ( k8_lopclset @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1420]) ).

thf(zip_derived_cl1422,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k9_lopclset @ X2 )
        = ( k8_lopclset @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1421]) ).

thf(zip_derived_cl1423,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( ( k9_lopclset @ X2 )
        = ( k8_lopclset @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1422]) ).

thf(zip_derived_cl1424,plain,
    ( ( v3_realset2 @ '#sk1' )
    | ~ ( v17_lattices @ '#sk1' )
    | ~ ( v10_lattices @ '#sk1' )
    | ( v3_struct_0 @ '#sk1' )
    | ( ( k9_lopclset @ '#sk1' )
      = ( k8_lopclset @ '#sk1' ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl1423]) ).

thf(zip_derived_cl105_005,plain,
    ~ ( v3_realset2 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl106_006,plain,
    v17_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl107_007,plain,
    v10_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl1427,plain,
    ( ( v3_struct_0 @ '#sk1' )
    | ( ( k9_lopclset @ '#sk1' )
      = ( k8_lopclset @ '#sk1' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1424,zip_derived_cl105,zip_derived_cl106,zip_derived_cl107]) ).

thf(zip_derived_cl108_008,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl1429,plain,
    ( ( k9_lopclset @ '#sk1' )
    = ( k8_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl1427,zip_derived_cl108]) ).

thf(zip_derived_cl810_009,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl1429_010,plain,
    ( ( k9_lopclset @ '#sk1' )
    = ( k8_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl1427,zip_derived_cl108]) ).

thf(zip_derived_cl104_011,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl105_012,plain,
    ~ ( v3_realset2 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl106_013,plain,
    v17_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl107_014,plain,
    v10_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl108_015,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl1469,plain,
    ( ( k4_xboole_0 @ ( a_1_1_lopclset @ '#sk1' ) @ ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k8_lopclset @ '#sk1' ) @ ( k5_lattices @ '#sk1' ) ) )
    = ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k8_lopclset @ '#sk1' ) @ ( k7_lattices @ '#sk1' @ ( k5_lattices @ '#sk1' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1460,zip_derived_cl810,zip_derived_cl810,zip_derived_cl1429,zip_derived_cl810,zip_derived_cl1429,zip_derived_cl104,zip_derived_cl105,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).

thf(zip_derived_cl104_016,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(t36_lopclset,axiom,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ A ) ) @ ( k9_lopclset @ A ) @ ( k5_lattices @ A ) )
        = k1_xboole_0 ) ) ).

thf(zip_derived_cl91,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l3_lattices @ Y0 )
          & ( (~) @ ( v3_realset2 @ Y0 ) )
          & ( v17_lattices @ Y0 )
          & ( v10_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( ( k8_funct_2 @ ( u1_struct_0 @ Y0 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ Y0 ) ) @ ( k9_lopclset @ Y0 ) @ ( k5_lattices @ Y0 ) )
          = k1_xboole_0 ) ) ),
    inference(cnf,[status(esa)],[t36_lopclset]) ).

thf(zip_derived_cl1489,plain,
    ! [X2: $i] :
      ( ( ( l3_lattices @ X2 )
        & ( (~) @ ( v3_realset2 @ X2 ) )
        & ( v17_lattices @ X2 )
        & ( v10_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k5_lattices @ X2 ) )
        = k1_xboole_0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl1490,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k5_lattices @ X2 ) )
        = k1_xboole_0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1489]) ).

thf(zip_derived_cl1491,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( (~) @ ( v3_realset2 @ X2 ) )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k5_lattices @ X2 ) )
        = k1_xboole_0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1490]) ).

thf(zip_derived_cl1492,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ( v3_realset2 @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( ( k8_funct_2 @ ( u1_struct_0 @ X2 ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ X2 ) ) @ ( k9_lopclset @ X2 ) @ ( k5_lattices @ X2 ) )
        = k1_xboole_0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1491]) ).

thf(zip_derived_cl1493,plain,
    ( ( v3_realset2 @ '#sk1' )
    | ~ ( v17_lattices @ '#sk1' )
    | ~ ( v10_lattices @ '#sk1' )
    | ( v3_struct_0 @ '#sk1' )
    | ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k5_lattices @ '#sk1' ) )
      = k1_xboole_0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl1492]) ).

thf(zip_derived_cl105_017,plain,
    ~ ( v3_realset2 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl106_018,plain,
    v17_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl107_019,plain,
    v10_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl108_020,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl810_021,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl1429_022,plain,
    ( ( k9_lopclset @ '#sk1' )
    = ( k8_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl1427,zip_derived_cl108]) ).

thf(zip_derived_cl1496,plain,
    ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k8_lopclset @ '#sk1' ) @ ( k5_lattices @ '#sk1' ) )
    = k1_xboole_0 ),
    inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl105,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108,zip_derived_cl810,zip_derived_cl1429]) ).

thf(t3_boole,axiom,
    ! [A: $i] :
      ( ( k4_xboole_0 @ A @ k1_xboole_0 )
      = A ) ).

thf(zip_derived_cl93,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( k4_xboole_0 @ Y0 @ k1_xboole_0 )
        = Y0 ) ),
    inference(cnf,[status(esa)],[t3_boole]) ).

thf(zip_derived_cl149,plain,
    ! [X2: $i] :
      ( ( k4_xboole_0 @ X2 @ k1_xboole_0 )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl150,plain,
    ! [X2: $i] :
      ( ( k4_xboole_0 @ X2 @ k1_xboole_0 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl104_023,plain,
    l3_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(t37_lattice4,axiom,
    ! [A: $i] :
      ( ( ( l3_lattices @ A )
        & ( v17_lattices @ A )
        & ( v10_lattices @ A )
        & ~ ( v3_struct_0 @ A ) )
     => ( ( k7_lattices @ A @ ( k5_lattices @ A ) )
        = ( k6_lattices @ A ) ) ) ).

thf(zip_derived_cl92,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( l3_lattices @ Y0 )
          & ( v17_lattices @ Y0 )
          & ( v10_lattices @ Y0 )
          & ( (~) @ ( v3_struct_0 @ Y0 ) ) )
       => ( ( k7_lattices @ Y0 @ ( k5_lattices @ Y0 ) )
          = ( k6_lattices @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[t37_lattice4]) ).

thf(zip_derived_cl1500,plain,
    ! [X2: $i] :
      ( ( ( l3_lattices @ X2 )
        & ( v17_lattices @ X2 )
        & ( v10_lattices @ X2 )
        & ( (~) @ ( v3_struct_0 @ X2 ) ) )
     => ( ( k7_lattices @ X2 @ ( k5_lattices @ X2 ) )
        = ( k6_lattices @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl1501,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k7_lattices @ X2 @ ( k5_lattices @ X2 ) )
        = ( k6_lattices @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1500]) ).

thf(zip_derived_cl1502,plain,
    ! [X2: $i] :
      ( ~ ( ( l3_lattices @ X2 )
          & ( v17_lattices @ X2 )
          & ( v10_lattices @ X2 )
          & ( (~) @ ( v3_struct_0 @ X2 ) ) )
      | ( ( k7_lattices @ X2 @ ( k5_lattices @ X2 ) )
        = ( k6_lattices @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1501]) ).

thf(zip_derived_cl1503,plain,
    ! [X2: $i] :
      ( ~ ( l3_lattices @ X2 )
      | ~ ( v17_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 )
      | ( ( k7_lattices @ X2 @ ( k5_lattices @ X2 ) )
        = ( k6_lattices @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1502]) ).

thf(zip_derived_cl1504,plain,
    ( ~ ( v17_lattices @ '#sk1' )
    | ~ ( v10_lattices @ '#sk1' )
    | ( v3_struct_0 @ '#sk1' )
    | ( ( k7_lattices @ '#sk1' @ ( k5_lattices @ '#sk1' ) )
      = ( k6_lattices @ '#sk1' ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl1503]) ).

thf(zip_derived_cl106_024,plain,
    v17_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl107_025,plain,
    v10_lattices @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl108_026,plain,
    ~ ( v3_struct_0 @ '#sk1' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl1507,plain,
    ( ( k7_lattices @ '#sk1' @ ( k5_lattices @ '#sk1' ) )
    = ( k6_lattices @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl1504,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).

thf(zip_derived_cl4894,plain,
    ( ( a_1_1_lopclset @ '#sk1' )
    = ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k8_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1469,zip_derived_cl1496,zip_derived_cl150,zip_derived_cl1507]) ).

thf(zip_derived_cl103,plain,
    ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) )
   != ( k7_lopclset @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl109,plain,
    ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( k7_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) )
   != ( k7_lopclset @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl810_027,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl810_028,plain,
    ( ( k7_lopclset @ '#sk1' )
    = ( a_1_1_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl809,zip_derived_cl108]) ).

thf(zip_derived_cl811,plain,
    ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k9_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) )
   != ( a_1_1_lopclset @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl810,zip_derived_cl810]) ).

thf(zip_derived_cl1429_029,plain,
    ( ( k9_lopclset @ '#sk1' )
    = ( k8_lopclset @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl1427,zip_derived_cl108]) ).

thf(zip_derived_cl1430,plain,
    ( ( k8_funct_2 @ ( u1_struct_0 @ '#sk1' ) @ ( k1_zfmisc_1 @ ( a_1_1_lopclset @ '#sk1' ) ) @ ( k8_lopclset @ '#sk1' ) @ ( k6_lattices @ '#sk1' ) )
   != ( a_1_1_lopclset @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl1429]) ).

thf(zip_derived_cl4895,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4894,zip_derived_cl1430]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TgbK4zOHYE true
% 0.15/0.35  % Computer : n003.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 : Thu Aug 24 09:45:37 EDT 2023
% 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
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 8.58/1.82  % Solved by fo/fo1_lcnf.sh.
% 8.58/1.82  % done 2612 iterations in 0.965s
% 8.58/1.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.58/1.82  % SZS output start Refutation
% See solution above
% 8.58/1.82  
% 8.58/1.82  
% 8.58/1.82  % Terminating...
% 8.87/1.91  % Runner terminated.
% 8.87/1.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------