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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT319+3 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qWgsHrsetu 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 Oct  2 04:41:31 PM UTC 2025

% Result   : Theorem 40.19s 6.36s
% Output   : Refutation 40.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  166 (  49 unt;   0 typ;   0 def)
%            Number of atoms       :  599 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 1497 ( 287   ~; 348   |;  64   &; 777   @)
%                                         (   6 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   2 con; 0-1 aty)
%            Number of variables   :   43 (   0   ^;  43   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v11_lattices_type,type,
    v11_lattices: $i > $o ).

thf(sk__124_type,type,
    sk__124: $i ).

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

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

thf(k1_lattice2_type,type,
    k1_lattice2: $i > $i ).

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

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

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

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

thf(v13_lattices_type,type,
    v13_lattices: $i > $o ).

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

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

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

thf(v3_lattices_type,type,
    v3_lattices: $i > $o ).

thf(v14_lattices_type,type,
    v14_lattices: $i > $o ).

thf(v16_lattices_type,type,
    v16_lattices: $i > $o ).

thf(v15_lattices_type,type,
    v15_lattices: $i > $o ).

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

thf(cc3_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v13_lattices @ A )
          & ( v14_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v15_lattices @ A ) ) ) ) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v13_lattices @ X0 )
      | ~ ( v14_lattices @ X0 )
      | ( v15_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc3_lattices]) ).

thf(cc6_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v11_lattices @ A )
          & ( v15_lattices @ A )
          & ( v16_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v17_lattices @ A ) ) ) ) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ( v17_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc6_lattices]) ).

thf(fc1_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
        & ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl533,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_lattice2]) ).

thf(dt_k1_lattice2,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl697,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(fc6_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
        & ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( v4_lattices @ ( k1_lattice2 @ A ) )
        & ( v5_lattices @ ( k1_lattice2 @ A ) )
        & ( v6_lattices @ ( k1_lattice2 @ A ) )
        & ( v7_lattices @ ( k1_lattice2 @ A ) )
        & ( v8_lattices @ ( k1_lattice2 @ A ) )
        & ( v9_lattices @ ( k1_lattice2 @ A ) )
        & ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_lattice2]) ).

thf(t65_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v11_lattices @ A )
          & ( l3_lattices @ A ) )
      <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          & ( v10_lattices @ ( k1_lattice2 @ A ) )
          & ( v11_lattices @ ( k1_lattice2 @ A ) )
          & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ) ).

thf(zip_derived_cl663,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v11_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t65_lattice2]) ).

thf(zip_derived_cl11620,plain,
    ! [X0: $i] :
      ( ( v11_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl663]) ).

thf(t53_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v15_lattices @ A )
          & ( v16_lattices @ A )
          & ( l3_lattices @ A ) )
      <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          & ( v10_lattices @ ( k1_lattice2 @ A ) )
          & ( v15_lattices @ ( k1_lattice2 @ A ) )
          & ( v16_lattices @ ( k1_lattice2 @ A ) )
          & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ) ).

thf(zip_derived_cl1001,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v15_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t53_filter_2]) ).

thf(zip_derived_cl11981,plain,
    ! [X0: $i] :
      ( ( v15_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1001]) ).

thf(zip_derived_cl1000,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v16_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t53_filter_2]) ).

thf(zip_derived_cl11906,plain,
    ! [X0: $i] :
      ( ( v16_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1000]) ).

thf(zip_derived_cl229_001,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ~ ( v15_lattices @ X0 )
      | ~ ( v16_lattices @ X0 )
      | ( v17_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc6_lattices]) ).

thf(t54_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v17_lattices @ A )
          & ( l3_lattices @ A ) )
      <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
          & ( v10_lattices @ ( k1_lattice2 @ A ) )
          & ( v17_lattices @ ( k1_lattice2 @ A ) )
          & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( l3_lattices @ A ) )
       => ( ( ~ ( v3_struct_0 @ A )
            & ( v10_lattices @ A )
            & ( v17_lattices @ A )
            & ( l3_lattices @ A ) )
        <=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
            & ( v10_lattices @ ( k1_lattice2 @ A ) )
            & ( v17_lattices @ ( k1_lattice2 @ A ) )
            & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t54_filter_2]) ).

thf(zip_derived_cl1007,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12185,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1007,zip_derived_cl1006,zip_derived_cl1005,zip_derived_cl1004]) ).

thf(zip_derived_cl12188,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl12185]) ).

thf(zip_derived_cl12190,plain,
    ( ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12188]) ).

thf(zip_derived_cl12259,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11906,zip_derived_cl12190]) ).

thf(zip_derived_cl1004_002,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_003,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_004,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12261,plain,
    ( ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12259,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl12267,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11981,zip_derived_cl12261]) ).

thf(zip_derived_cl1004_005,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_006,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_007,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12270,plain,
    ( ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12267,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl12271,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12270]) ).

thf(zip_derived_cl12277,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( v11_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11620,zip_derived_cl12271]) ).

thf(zip_derived_cl1004_008,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_009,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cc5_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v17_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v11_lattices @ A )
          & ( v13_lattices @ A )
          & ( v14_lattices @ A )
          & ( v15_lattices @ A )
          & ( v16_lattices @ A ) ) ) ) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl223_010,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl1018,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10190,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl1018]) ).

thf(zip_derived_cl1022,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10702,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10190,zip_derived_cl1022]) ).

thf(zip_derived_cl1010,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10703,plain,
    ( ( v11_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10702,zip_derived_cl1010]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v11_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t65_lattice2]) ).

thf(zip_derived_cl533_011,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_lattice2]) ).

thf(zip_derived_cl11816,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v11_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl659,zip_derived_cl533]) ).

thf(zip_derived_cl697_012,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl11817,plain,
    ! [X0: $i] :
      ( ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v11_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v11_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11816,zip_derived_cl697]) ).

thf(zip_derived_cl563_013,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_lattice2]) ).

thf(zip_derived_cl11818,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v11_lattices @ X0 )
      | ~ ( v11_lattices @ ( k1_lattice2 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl11817,zip_derived_cl563]) ).

thf(zip_derived_cl11822,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v11_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10703,zip_derived_cl11818]) ).

thf(zip_derived_cl1006_014,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_015,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004_016,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11825,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v11_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11822,zip_derived_cl1006,zip_derived_cl1005,zip_derived_cl1004]) ).

thf(zip_derived_cl11834,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ( v11_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ( v11_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl11825]) ).

thf(zip_derived_cl1006_017,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004_018,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11840,plain,
    ( ( v11_lattices @ sk__124 )
    | ( v11_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11834,zip_derived_cl1006,zip_derived_cl1004]) ).

thf(zip_derived_cl11841,plain,
    v11_lattices @ sk__124,
    inference(simplify,[status(thm)],[zip_derived_cl11840]) ).

thf(zip_derived_cl1006_019,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12279,plain,
    ( ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12277,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl11841,zip_derived_cl1006]) ).

thf(zip_derived_cl12283,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl12279]) ).

thf(zip_derived_cl1004_020,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_021,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_022,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12285,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12283,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl12291,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl12285]) ).

thf(zip_derived_cl1006_023,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12293,plain,
    ( ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12291,zip_derived_cl1006]) ).

thf(zip_derived_cl12297,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ~ ( v17_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl12293]) ).

thf(zip_derived_cl1004_024,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_025,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12299,plain,
    ( ~ ( v17_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12297,zip_derived_cl1004,zip_derived_cl1006]) ).

thf(zip_derived_cl12302,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v11_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl12299]) ).

thf(zip_derived_cl1006_026,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11841_027,plain,
    v11_lattices @ sk__124,
    inference(simplify,[status(thm)],[zip_derived_cl11840]) ).

thf(zip_derived_cl1004_028,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12303,plain,
    ( ~ ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12302,zip_derived_cl1006,zip_derived_cl11841,zip_derived_cl1004]) ).

thf(zip_derived_cl12304,plain,
    ( ~ ( v15_lattices @ sk__124 )
    | ~ ( v16_lattices @ sk__124 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12303]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v16_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl227_029,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v16_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl1018_030,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10271,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl1018]) ).

thf(zip_derived_cl1022_031,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11103,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10271,zip_derived_cl1022]) ).

thf(zip_derived_cl1010_032,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11104,plain,
    ( ( v16_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11103,zip_derived_cl1010]) ).

thf(zip_derived_cl995,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v15_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( v16_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v16_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t53_filter_2]) ).

thf(zip_derived_cl12755,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11104,zip_derived_cl995]) ).

thf(zip_derived_cl1004_033,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_034,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_035,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12758,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12755,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl1022_036,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12761,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v16_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12758,zip_derived_cl1022]) ).

thf(zip_derived_cl1010_037,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12762,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12761,zip_derived_cl1010]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v15_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl1018_038,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10257,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl1018]) ).

thf(zip_derived_cl1022_039,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10987,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10257,zip_derived_cl1022]) ).

thf(zip_derived_cl1010_040,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10988,plain,
    ( ( v15_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10987,zip_derived_cl1010]) ).

thf(zip_derived_cl12763,plain,
    ( ~ ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v16_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12762,zip_derived_cl10988]) ).

thf(zip_derived_cl1014,plain,
    ( ( v10_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12764,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12763,zip_derived_cl1014]) ).

thf(zip_derived_cl12775,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ( v16_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl12764]) ).

thf(zip_derived_cl1006_041,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004_042,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12781,plain,
    ( ( v16_lattices @ sk__124 )
    | ( v16_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12775,zip_derived_cl1006,zip_derived_cl1004]) ).

thf(zip_derived_cl12782,plain,
    v16_lattices @ sk__124,
    inference(simplify,[status(thm)],[zip_derived_cl12781]) ).

thf(zip_derived_cl12791,plain,
    ~ ( v15_lattices @ sk__124 ),
    inference(demod,[status(thm)],[zip_derived_cl12304,zip_derived_cl12782]) ).

thf(zip_derived_cl12793,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ~ ( v14_lattices @ sk__124 )
    | ~ ( v13_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl12791]) ).

thf(zip_derived_cl1006_043,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v14_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(t64_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v14_lattices @ A )
      <=> ( v13_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl656,plain,
    ! [X0: $i] :
      ( ~ ( v13_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v14_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t64_lattice2]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v13_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl1018_044,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10229,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v13_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl1018]) ).

thf(zip_derived_cl1022_045,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10769,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v13_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10229,zip_derived_cl1022]) ).

thf(zip_derived_cl1010_046,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10770,plain,
    ( ( v13_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10769,zip_derived_cl1010]) ).

thf(zip_derived_cl10772,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ( v14_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl656,zip_derived_cl10770]) ).

thf(zip_derived_cl1004_047,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_048,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_049,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10773,plain,
    ( ( v14_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10772,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl10782,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ( v14_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ( v14_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl10773]) ).

thf(zip_derived_cl1006_050,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004_051,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10787,plain,
    ( ( v14_lattices @ sk__124 )
    | ( v14_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10782,zip_derived_cl1006,zip_derived_cl1004]) ).

thf(zip_derived_cl10788,plain,
    v14_lattices @ sk__124,
    inference(simplify,[status(thm)],[zip_derived_cl10787]) ).

thf(zip_derived_cl224_052,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v13_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(t63_lattice2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ( ( v13_lattices @ A )
      <=> ( v14_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl654,plain,
    ! [X0: $i] :
      ( ~ ( v14_lattices @ ( k1_lattice2 @ X0 ) )
      | ( v13_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t63_lattice2]) ).

thf(zip_derived_cl225_053,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v14_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc5_lattices]) ).

thf(zip_derived_cl1018_054,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10243,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v14_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl225,zip_derived_cl1018]) ).

thf(zip_derived_cl1022_055,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10898,plain,
    ( ( v17_lattices @ sk__124 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v14_lattices @ ( k1_lattice2 @ sk__124 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10243,zip_derived_cl1022]) ).

thf(zip_derived_cl1010_056,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10899,plain,
    ( ( v14_lattices @ ( k1_lattice2 @ sk__124 ) )
    | ( v17_lattices @ sk__124 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10898,zip_derived_cl1010]) ).

thf(zip_derived_cl10901,plain,
    ( ( v3_struct_0 @ sk__124 )
    | ~ ( v10_lattices @ sk__124 )
    | ~ ( l3_lattices @ sk__124 )
    | ( v13_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl10899]) ).

thf(zip_derived_cl1004_057,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1005_058,plain,
    v10_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1006_059,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10902,plain,
    ( ( v13_lattices @ sk__124 )
    | ( v17_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10901,zip_derived_cl1004,zip_derived_cl1005,zip_derived_cl1006]) ).

thf(zip_derived_cl10910,plain,
    ( ~ ( l3_lattices @ sk__124 )
    | ( v13_lattices @ sk__124 )
    | ( v3_struct_0 @ sk__124 )
    | ( v13_lattices @ sk__124 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl10902]) ).

thf(zip_derived_cl1006_060,plain,
    l3_lattices @ sk__124,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1004_061,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10915,plain,
    ( ( v13_lattices @ sk__124 )
    | ( v13_lattices @ sk__124 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10910,zip_derived_cl1006,zip_derived_cl1004]) ).

thf(zip_derived_cl10916,plain,
    v13_lattices @ sk__124,
    inference(simplify,[status(thm)],[zip_derived_cl10915]) ).

thf(zip_derived_cl1004_062,plain,
    ~ ( v3_struct_0 @ sk__124 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12794,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12793,zip_derived_cl1006,zip_derived_cl10788,zip_derived_cl10916,zip_derived_cl1004]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : LAT319+3 : TPTP v9.2.0. Released v3.4.0.
% 0.09/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qWgsHrsetu true
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 14:35:09 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.49/0.61  % Total configuration time : 435
% 0.49/0.61  % Estimated wc time : 1092
% 0.49/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 40.19/6.36  % Solved by fo/fo3_bce.sh.
% 40.19/6.36  % BCE start: 1024
% 40.19/6.36  % BCE eliminated: 156
% 40.19/6.36  % PE start: 868
% 40.19/6.36  logic: eq
% 40.19/6.36  % PE eliminated: -13
% 40.19/6.36  % done 948 iterations in 5.621s
% 40.19/6.36  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 40.19/6.36  % SZS output start Refutation
% See solution above
% 40.19/6.36  
% 40.19/6.36  
% 40.19/6.36  % Terminating...
% 40.83/6.44  % Runner terminated.
% 40.83/6.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------