TSTP Solution File: LAT319+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT319+4 : 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.faVfaNJ50E true

% Computer : n026.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 06:46:54 EDT 2023

% Result   : Theorem 103.53s 15.42s
% Output   : Refutation 103.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  184 (  49 unt;  18 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 (   6 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   :   43 (   0   ^;  43   !;   0   ?;  43   :)

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

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

thf(sk__117_type,type,
    sk__117: $i ).

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

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

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

thf(v3_struct_0_type,type,
    v3_struct_0: $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(v17_lattices_type,type,
    v17_lattices: $i > $o ).

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

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

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

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

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

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

thf(v13_lattices_type,type,
    v13_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_cl135,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_cl174,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_cl480,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_cl707,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_cl510,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_cl670,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_cl8958,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_cl670]) ).

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_cl1178,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_cl9528,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_cl1178]) ).

thf(zip_derived_cl1177,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_cl9463,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_cl1177]) ).

thf(zip_derived_cl174_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_cl1184,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9465,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1184,zip_derived_cl1183,zip_derived_cl1182,zip_derived_cl1181]) ).

thf(zip_derived_cl9468,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl9465]) ).

thf(zip_derived_cl9470,plain,
    ( ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v16_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9468]) ).

thf(zip_derived_cl9524,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9463,zip_derived_cl9470]) ).

thf(zip_derived_cl1181_002,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_003,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_004,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9526,plain,
    ( ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9524,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl9600,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9528,zip_derived_cl9526]) ).

thf(zip_derived_cl1181_005,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_006,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_007,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9603,plain,
    ( ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9600,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl9604,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9603]) ).

thf(zip_derived_cl9610,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( v11_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8958,zip_derived_cl9604]) ).

thf(zip_derived_cl1181_008,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_009,plain,
    v10_lattices @ sk__117,
    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_cl168,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_cl168_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_cl1195,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7544,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl1195]) ).

thf(zip_derived_cl1199,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7965,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v11_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7544,zip_derived_cl1199]) ).

thf(zip_derived_cl1187,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7966,plain,
    ( ( v11_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7965,zip_derived_cl1187]) ).

thf(zip_derived_cl666,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_cl480_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_cl9319,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_cl666,zip_derived_cl480]) ).

thf(zip_derived_cl707_012,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(zip_derived_cl9320,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_cl9319,zip_derived_cl707]) ).

thf(zip_derived_cl510_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_cl9321,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_cl9320,zip_derived_cl510]) ).

thf(zip_derived_cl9325,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v11_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7966,zip_derived_cl9321]) ).

thf(zip_derived_cl1183_014,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_015,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181_016,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9328,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v11_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9325,zip_derived_cl1183,zip_derived_cl1182,zip_derived_cl1181]) ).

thf(zip_derived_cl9337,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ( v11_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ( v11_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl9328]) ).

thf(zip_derived_cl1183_017,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181_018,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9343,plain,
    ( ( v11_lattices @ sk__117 )
    | ( v11_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9337,zip_derived_cl1183,zip_derived_cl1181]) ).

thf(zip_derived_cl9344,plain,
    v11_lattices @ sk__117,
    inference(simplify,[status(thm)],[zip_derived_cl9343]) ).

thf(zip_derived_cl1183_019,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9612,plain,
    ( ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9610,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl9344,zip_derived_cl1183]) ).

thf(zip_derived_cl9616,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl9612]) ).

thf(zip_derived_cl1181_020,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_021,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_022,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9618,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9616,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl9622,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl9618]) ).

thf(zip_derived_cl1183_023,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9624,plain,
    ( ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9622,zip_derived_cl1183]) ).

thf(zip_derived_cl9628,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ~ ( v17_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl9624]) ).

thf(zip_derived_cl1181_024,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_025,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9630,plain,
    ( ~ ( v17_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9628,zip_derived_cl1181,zip_derived_cl1183]) ).

thf(zip_derived_cl9633,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v11_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl9630]) ).

thf(zip_derived_cl1183_026,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9344_027,plain,
    v11_lattices @ sk__117,
    inference(simplify,[status(thm)],[zip_derived_cl9343]) ).

thf(zip_derived_cl1181_028,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9634,plain,
    ( ~ ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9633,zip_derived_cl1183,zip_derived_cl9344,zip_derived_cl1181]) ).

thf(zip_derived_cl9635,plain,
    ( ~ ( v15_lattices @ sk__117 )
    | ~ ( v16_lattices @ sk__117 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9634]) ).

thf(zip_derived_cl172,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_cl172_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_cl1195_030,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7604,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl1195]) ).

thf(zip_derived_cl1199_031,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8282,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v16_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7604,zip_derived_cl1199]) ).

thf(zip_derived_cl1187_032,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8283,plain,
    ( ( v16_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8282,zip_derived_cl1187]) ).

thf(zip_derived_cl1172,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_cl10020,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8283,zip_derived_cl1172]) ).

thf(zip_derived_cl1181_033,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_034,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_035,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10023,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10020,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl1199_036,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10026,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v16_lattices @ sk__117 )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10023,zip_derived_cl1199]) ).

thf(zip_derived_cl1187_037,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10027,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 )
    | ~ ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10026,zip_derived_cl1187]) ).

thf(zip_derived_cl171,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_cl1195_038,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7590,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl1195]) ).

thf(zip_derived_cl1199_039,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8251,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v15_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7590,zip_derived_cl1199]) ).

thf(zip_derived_cl1187_040,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8252,plain,
    ( ( v15_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8251,zip_derived_cl1187]) ).

thf(zip_derived_cl10028,plain,
    ( ~ ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v16_lattices @ sk__117 )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10027,zip_derived_cl8252]) ).

thf(zip_derived_cl1191,plain,
    ( ( v10_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10029,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10028,zip_derived_cl1191]) ).

thf(zip_derived_cl10040,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ( v16_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl10029]) ).

thf(zip_derived_cl1183_041,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181_042,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10046,plain,
    ( ( v16_lattices @ sk__117 )
    | ( v16_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10040,zip_derived_cl1183,zip_derived_cl1181]) ).

thf(zip_derived_cl10047,plain,
    v16_lattices @ sk__117,
    inference(simplify,[status(thm)],[zip_derived_cl10046]) ).

thf(zip_derived_cl10056,plain,
    ~ ( v15_lattices @ sk__117 ),
    inference(demod,[status(thm)],[zip_derived_cl9635,zip_derived_cl10047]) ).

thf(zip_derived_cl10058,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ~ ( v14_lattices @ sk__117 )
    | ~ ( v13_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl10056]) ).

thf(zip_derived_cl1183_043,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,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_cl169,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_cl1195_044,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7558,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v13_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl1195]) ).

thf(zip_derived_cl1199_045,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7998,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v13_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7558,zip_derived_cl1199]) ).

thf(zip_derived_cl1187_046,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7999,plain,
    ( ( v13_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7998,zip_derived_cl1187]) ).

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_cl663,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_cl8007,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ( v14_lattices @ sk__117 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7999,zip_derived_cl663]) ).

thf(zip_derived_cl1181_047,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_048,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_049,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8009,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v14_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8007,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl8018,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ( v14_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ( v14_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl8009]) ).

thf(zip_derived_cl1183_050,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181_051,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8023,plain,
    ( ( v14_lattices @ sk__117 )
    | ( v14_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8018,zip_derived_cl1183,zip_derived_cl1181]) ).

thf(zip_derived_cl8024,plain,
    v14_lattices @ sk__117,
    inference(simplify,[status(thm)],[zip_derived_cl8023]) ).

thf(zip_derived_cl169_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_cl661,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_cl170_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_cl1195_054,plain,
    ( ( v17_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7572,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v14_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl1195]) ).

thf(zip_derived_cl1199_055,plain,
    ( ( l3_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8106,plain,
    ( ( v17_lattices @ sk__117 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v14_lattices @ ( k1_lattice2 @ sk__117 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7572,zip_derived_cl1199]) ).

thf(zip_derived_cl1187_056,plain,
    ( ~ ( v3_struct_0 @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8107,plain,
    ( ( v14_lattices @ ( k1_lattice2 @ sk__117 ) )
    | ( v17_lattices @ sk__117 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8106,zip_derived_cl1187]) ).

thf(zip_derived_cl8109,plain,
    ( ( v3_struct_0 @ sk__117 )
    | ~ ( v10_lattices @ sk__117 )
    | ~ ( l3_lattices @ sk__117 )
    | ( v13_lattices @ sk__117 )
    | ( v17_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl8107]) ).

thf(zip_derived_cl1181_057,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1182_058,plain,
    v10_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1183_059,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8110,plain,
    ( ( v13_lattices @ sk__117 )
    | ( v17_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8109,zip_derived_cl1181,zip_derived_cl1182,zip_derived_cl1183]) ).

thf(zip_derived_cl8132,plain,
    ( ~ ( l3_lattices @ sk__117 )
    | ( v13_lattices @ sk__117 )
    | ( v3_struct_0 @ sk__117 )
    | ( v13_lattices @ sk__117 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl8110]) ).

thf(zip_derived_cl1183_060,plain,
    l3_lattices @ sk__117,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1181_061,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8137,plain,
    ( ( v13_lattices @ sk__117 )
    | ( v13_lattices @ sk__117 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8132,zip_derived_cl1183,zip_derived_cl1181]) ).

thf(zip_derived_cl8138,plain,
    v13_lattices @ sk__117,
    inference(simplify,[status(thm)],[zip_derived_cl8137]) ).

thf(zip_derived_cl1181_062,plain,
    ~ ( v3_struct_0 @ sk__117 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10059,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10058,zip_derived_cl1183,zip_derived_cl8024,zip_derived_cl8138,zip_derived_cl1181]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT319+4 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.faVfaNJ50E true
% 0.16/0.35  % Computer : n026.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Thu Aug 24 09:37:07 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 103.53/15.42  % Solved by fo/fo3_bce.sh.
% 103.53/15.42  % BCE start: 1201
% 103.53/15.42  % BCE eliminated: 201
% 103.53/15.42  % PE start: 1000
% 103.53/15.42  logic: eq
% 103.53/15.42  % PE eliminated: -44
% 103.53/15.42  % done 1035 iterations in 14.619s
% 103.53/15.42  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 103.53/15.42  % SZS output start Refutation
% See solution above
% 103.53/15.42  
% 103.53/15.42  
% 103.53/15.42  % Terminating...
% 103.82/15.61  % Runner terminated.
% 103.82/15.64  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------