TSTP Solution File: LAT319+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT319+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.hF9qV3pu1d true

% Computer : n021.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 06:46:53 EDT 2023

% Result   : Theorem 0.87s 0.87s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  171 (  53 unt;  18 typ;   0 def)
%            Number of atoms       :  489 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 1204 ( 210   ~; 264   |;  57   &; 658   @)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   2 con; 0-1 aty)
%            Number of variables   :   37 (   0   ^;  37   !;   0   ?;  37   :)

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

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

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

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

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

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

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

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

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

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_cl25,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_cl23,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

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_cl82,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl77,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_cl424,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_cl77]) ).

thf(zip_derived_cl430,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ~ ( v11_lattices @ sk__3 )
    | ( v11_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl424]) ).

thf(zip_derived_cl80,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl434,plain,
    ( ~ ( v11_lattices @ sk__3 )
    | ( v11_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl80,zip_derived_cl81]) ).

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_cl16,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(zip_derived_cl435,plain,
    ( ~ ( v11_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl16]) ).

thf(zip_derived_cl94,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    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_cl10,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_cl211,plain,
    ( ( v17_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl10]) ).

thf(zip_derived_cl98,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl98]) ).

thf(zip_derived_cl86,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v11_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl344,zip_derived_cl86]) ).

thf(zip_derived_cl73,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_cl25_001,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_cl591,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_cl73,zip_derived_cl25]) ).

thf(zip_derived_cl23_002,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl592,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_cl591,zip_derived_cl23]) ).

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_cl35,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_cl593,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_cl592,zip_derived_cl35]) ).

thf(zip_derived_cl598,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v11_lattices @ sk__3 )
    | ~ ( l3_lattices @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl593]) ).

thf(zip_derived_cl82_003,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_004,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_005,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl605,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v11_lattices @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl82,zip_derived_cl81,zip_derived_cl80]) ).

thf(zip_derived_cl16_006,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(zip_derived_cl607,plain,
    ( ( v17_lattices @ sk__3 )
    | ~ ( l3_lattices @ sk__3 )
    | ( v17_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ~ ( v15_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl16]) ).

thf(zip_derived_cl82_007,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_008,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl610,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v17_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ~ ( v15_lattices @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl607,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl611,plain,
    ( ~ ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ( v17_lattices @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl610]) ).

thf(zip_derived_cl94_009,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,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_cl214,plain,
    ( ( v17_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl13]) ).

thf(zip_derived_cl98_010,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl214,zip_derived_cl98]) ).

thf(zip_derived_cl86_011,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl86]) ).

thf(zip_derived_cl23_012,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl82_013,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_014,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_cl115,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ( v10_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl35]) ).

thf(zip_derived_cl80_015,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_016,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    v10_lattices @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl80,zip_derived_cl81]) ).

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_cl64,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 ) )
      | ( v15_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t53_filter_2]) ).

thf(zip_derived_cl525,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ~ ( l3_lattices @ sk__3 )
    | ( v15_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl64]) ).

thf(zip_derived_cl80_017,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_018,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82_019,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl534,plain,
    ( ( v15_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl525,zip_derived_cl80,zip_derived_cl81,zip_derived_cl82]) ).

thf(zip_derived_cl581,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v15_lattices @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl534]) ).

thf(zip_derived_cl82_020,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl583,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v15_lattices @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl82]) ).

thf(zip_derived_cl584,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl583]) ).

thf(zip_derived_cl94_021,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,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_cl215,plain,
    ( ( v17_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl14]) ).

thf(zip_derived_cl98_022,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl215,zip_derived_cl98]) ).

thf(zip_derived_cl86_023,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl354,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl353,zip_derived_cl86]) ).

thf(zip_derived_cl586,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v15_lattices @ sk__3 )
    | ( v17_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl584,zip_derived_cl354]) ).

thf(zip_derived_cl86_024,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v15_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl586,zip_derived_cl86]) ).

thf(zip_derived_cl612,plain,
    ( ( v17_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl611,zip_derived_cl587]) ).

thf(zip_derived_cl352_025,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl86]) ).

thf(zip_derived_cl23_026,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl118_027,plain,
    v10_lattices @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl63,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_cl478,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ~ ( l3_lattices @ sk__3 )
    | ( v16_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl63]) ).

thf(zip_derived_cl80_028,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_029,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82_030,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl487,plain,
    ( ( v16_lattices @ sk__3 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl80,zip_derived_cl81,zip_derived_cl82]) ).

thf(zip_derived_cl502,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v16_lattices @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl487]) ).

thf(zip_derived_cl82_031,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl504,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v16_lattices @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl82]) ).

thf(zip_derived_cl505,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v16_lattices @ sk__3 )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl504]) ).

thf(zip_derived_cl354_032,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl353,zip_derived_cl86]) ).

thf(zip_derived_cl509,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v16_lattices @ sk__3 )
    | ( v17_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl505,zip_derived_cl354]) ).

thf(zip_derived_cl86_033,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( v17_lattices @ sk__3 )
    | ( v16_lattices @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl509,zip_derived_cl86]) ).

thf(zip_derived_cl613,plain,
    v17_lattices @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl612,zip_derived_cl510]) ).

thf(zip_derived_cl10_034,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_cl615,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v11_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl10]) ).

thf(zip_derived_cl82_035,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_036,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl620,plain,
    v11_lattices @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl615,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl620]) ).

thf(zip_derived_cl82_037,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,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_cl448,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_cl68]) ).

thf(zip_derived_cl454,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ~ ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl448]) ).

thf(zip_derived_cl80_038,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_039,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl458,plain,
    ( ~ ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl613_040,plain,
    v17_lattices @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl612,zip_derived_cl510]) ).

thf(zip_derived_cl13_041,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_cl618,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v15_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl13]) ).

thf(zip_derived_cl82_042,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_043,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    v15_lattices @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl630,plain,
    ( ~ ( v16_lattices @ sk__3 )
    | ( v16_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl623]) ).

thf(zip_derived_cl613_044,plain,
    v17_lattices @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl612,zip_derived_cl510]) ).

thf(zip_derived_cl14_045,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_cl619,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v16_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl14]) ).

thf(zip_derived_cl82_046,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_047,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    v16_lattices @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl636,plain,
    v16_lattices @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl630,zip_derived_cl624]) ).

thf(zip_derived_cl82_048,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,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_cl459,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_cl69]) ).

thf(zip_derived_cl465,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ~ ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl459]) ).

thf(zip_derived_cl80_049,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_050,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl469,plain,
    ( ~ ( v15_lattices @ sk__3 )
    | ~ ( v16_lattices @ sk__3 )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl623_051,plain,
    v15_lattices @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl631,plain,
    ( ~ ( v16_lattices @ sk__3 )
    | ( v15_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl623]) ).

thf(zip_derived_cl624_052,plain,
    v16_lattices @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl82,zip_derived_cl80]) ).

thf(zip_derived_cl637,plain,
    v15_lattices @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl631,zip_derived_cl624]) ).

thf(zip_derived_cl670,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl626,zip_derived_cl636,zip_derived_cl637]) ).

thf(zip_derived_cl83,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( l3_lattices @ sk__3 )
    | ~ ( v17_lattices @ sk__3 )
    | ~ ( v10_lattices @ sk__3 )
    | ( v3_struct_0 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_053,plain,
    v10_lattices @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl80,zip_derived_cl81]) ).

thf(zip_derived_cl82_054,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_055,plain,
    v10_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_056,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v17_lattices @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl118,zip_derived_cl82,zip_derived_cl81,zip_derived_cl80]) ).

thf(zip_derived_cl613_057,plain,
    v17_lattices @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl612,zip_derived_cl510]) ).

thf(zip_derived_cl614,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__3 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl613]) ).

thf(zip_derived_cl671,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl670,zip_derived_cl614]) ).

thf(zip_derived_cl673,plain,
    ( ~ ( l3_lattices @ sk__3 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl671]) ).

thf(zip_derived_cl82_058,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl674,plain,
    v3_struct_0 @ ( k1_lattice2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl82]) ).

thf(zip_derived_cl677,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( l3_lattices @ sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl674]) ).

thf(zip_derived_cl80_059,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82_060,plain,
    l3_lattices @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl678,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl80,zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hF9qV3pu1d true
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 08:27:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.87/0.87  % Solved by fo/fo4.sh.
% 0.87/0.87  % done 276 iterations in 0.098s
% 0.87/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.87/0.87  % SZS output start Refutation
% See solution above
% 0.87/0.87  
% 0.87/0.87  
% 0.87/0.87  % Terminating...
% 1.53/0.95  % Runner terminated.
% 1.53/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------