TSTP Solution File: LAT317+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT317+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.DocUmre1sK true

% Computer : n006.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 06:46:52 EDT 2023

% Result   : Theorem 19.95s 3.45s
% Output   : Refutation 19.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  183 (  68 unt;  28 typ;   0 def)
%            Number of atoms       :  620 (  28 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives : 2138 ( 316   ~; 387   |;  49   &;1357   @)
%                                         (   1 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  28 usr;   4 con; 0-3 aty)
%            Number of variables   :  113 (   0   ^; 113   !;   0   ?; 113   :)

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

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

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(k5_filter_0_type,type,
    k5_filter_0: $i > $i > $i > $i ).

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

thf(m2_filter_2_type,type,
    m2_filter_2: $i > $i > $o ).

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

thf(m1_filter_0_type,type,
    m1_filter_0: $i > $i > $o ).

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

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(k7_filter_2_type,type,
    k7_filter_2: $i > $i > $i ).

thf(m1_filter_2_type,type,
    m1_filter_2: $i > $i > $o ).

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

thf(sk__15_type,type,
    sk__15: $i ).

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

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

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

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

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

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

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

thf(k8_filter_2_type,type,
    k8_filter_2: $i > $i > $i ).

thf(k15_filter_2_type,type,
    k15_filter_2: $i > $i > $i ).

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

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

thf(k20_filter_2_type,type,
    k20_filter_2: $i > $i > $i > $i ).

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_cl29,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_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_cl43,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(dt_k1_lattice2,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( v3_lattices @ ( k1_lattice2 @ A ) )
        & ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_lattice2]) ).

thf(t51_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_filter_2 @ B @ A )
         => ! [C: $i] :
              ( ( m2_filter_2 @ C @ A )
             => ( ( r1_tarski @ B @ ( k20_filter_2 @ A @ B @ C ) )
                & ( r1_tarski @ C @ ( k20_filter_2 @ A @ B @ C ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( l3_lattices @ A ) )
       => ! [B: $i] :
            ( ( m2_filter_2 @ B @ A )
           => ! [C: $i] :
                ( ( m2_filter_2 @ C @ A )
               => ( ( r1_tarski @ B @ ( k20_filter_2 @ A @ B @ C ) )
                  & ( r1_tarski @ C @ ( k20_filter_2 @ A @ B @ C ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t51_filter_2]) ).

thf(zip_derived_cl77,plain,
    ( ~ ( r1_tarski @ sk__14 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) )
    | ~ ( r1_tarski @ sk__15 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d6_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ( k7_filter_2 @ A @ B )
            = B ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k7_filter_2 @ X1 @ X0 )
        = X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d6_filter_2]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k7_filter_2 @ X1 @ X0 )
        = X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d6_filter_2]) ).

thf(dt_m1_filter_0,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ( ~ ( v1_xboole_0 @ B )
            & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_0 @ X0 @ X1 )
      | ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_filter_0]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k7_filter_2 @ X1 @ X0 )
        = X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d6_filter_2]) ).

thf(zip_derived_cl78,plain,
    m2_filter_2 @ sk__14 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k15_filter_2,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m2_filter_2 @ B @ A ) )
     => ( m1_filter_2 @ ( k15_filter_2 @ A @ B ) @ ( k1_lattice2 @ A ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m2_filter_2 @ X1 @ X0 )
      | ( m1_filter_2 @ ( k15_filter_2 @ X0 @ X1 ) @ ( k1_lattice2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k15_filter_2]) ).

thf(redefinition_m1_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_2 @ B @ A )
        <=> ( m1_filter_0 @ B @ A ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_2 @ X0 @ X1 )
      | ( m1_filter_0 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).

thf(zip_derived_cl712,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ( m1_filter_0 @ ( k15_filter_2 @ X0 @ X1 ) @ ( k1_lattice2 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl60]) ).

thf(zip_derived_cl736,plain,
    ( ( m1_filter_0 @ ( k15_filter_2 @ sk__13 @ sk__14 ) @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl712]) ).

thf(zip_derived_cl78_003,plain,
    m2_filter_2 @ sk__14 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(redefinition_k15_filter_2,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m2_filter_2 @ B @ A ) )
     => ( ( k15_filter_2 @ A @ B )
        = ( k7_filter_2 @ A @ B ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m2_filter_2 @ X1 @ X0 )
      | ( ( k15_filter_2 @ X0 @ X1 )
        = ( k7_filter_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k15_filter_2]) ).

thf(zip_derived_cl733,plain,
    ( ( ( k15_filter_2 @ sk__13 @ sk__14 )
      = ( k7_filter_2 @ sk__13 @ sk__14 ) )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl58]) ).

thf(zip_derived_cl73,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl799,plain,
    ( ( k15_filter_2 @ sk__13 @ sk__14 )
    = ( k7_filter_2 @ sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl733,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl75_004,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_005,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_006,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1151,plain,
    ( ( m1_filter_0 @ ( k7_filter_2 @ sk__13 @ sk__14 ) @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl736,zip_derived_cl799,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).

thf(zip_derived_cl1156,plain,
    ( ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1151]) ).

thf(zip_derived_cl73_007,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_008,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_009,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_010,plain,
    m2_filter_2 @ sk__14 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m2_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_filter_2 @ B @ A )
         => ( ~ ( v1_xboole_0 @ B )
            & ( m2_lattice4 @ B @ A ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ X1 )
      | ( m2_lattice4 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_filter_2]) ).

thf(dt_m2_lattice4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_lattice4 @ B @ A )
         => ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_lattice4 @ X0 @ X1 )
      | ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_lattice4]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( m2_filter_2 @ X1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl20]) ).

thf(zip_derived_cl734,plain,
    ( ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl708]) ).

thf(zip_derived_cl828,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl734]) ).

thf(zip_derived_cl73_011,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_012,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_013,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl829,plain,
    m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl828,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl1159,plain,
    ( ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl829]) ).

thf(zip_derived_cl1164,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl1159]) ).

thf(zip_derived_cl1166,plain,
    ( ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1164]) ).

thf(t45_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v1_xboole_0 @ B )
            & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
         => ! [C: $i] :
              ( ( ~ ( v1_xboole_0 @ C )
                & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
             => ! [D: $i] :
                  ( ( ~ ( v1_xboole_0 @ D )
                    & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) ) )
                 => ! [E: $i] :
                      ( ( ~ ( v1_xboole_0 @ E )
                        & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) ) )
                     => ( ( ( k20_filter_2 @ A @ B @ C )
                          = ( k5_filter_0 @ ( k1_lattice2 @ A ) @ ( k7_filter_2 @ A @ B ) @ ( k7_filter_2 @ A @ C ) ) )
                        & ( ( k20_filter_2 @ ( k1_lattice2 @ A ) @ ( k7_filter_2 @ A @ B ) @ ( k7_filter_2 @ A @ C ) )
                          = ( k5_filter_0 @ A @ B @ C ) )
                        & ( ( k20_filter_2 @ ( k1_lattice2 @ A ) @ D @ E )
                          = ( k5_filter_0 @ A @ ( k8_filter_2 @ A @ D ) @ ( k8_filter_2 @ A @ E ) ) )
                        & ( ( k20_filter_2 @ A @ ( k8_filter_2 @ A @ D ) @ ( k8_filter_2 @ A @ E ) )
                          = ( k5_filter_0 @ ( k1_lattice2 @ A ) @ D @ E ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( v1_xboole_0 @ X2 )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) ) )
      | ( ( k20_filter_2 @ X1 @ X0 @ X3 )
        = ( k5_filter_0 @ ( k1_lattice2 @ X1 ) @ ( k7_filter_2 @ X1 @ X0 ) @ ( k7_filter_2 @ X1 @ X3 ) ) )
      | ~ ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) ) )
      | ( v1_xboole_0 @ X4 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( v1_xboole_0 @ X3 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t45_filter_2]) ).

thf(zip_derived_cl1092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v1_xboole_0 @ X2 )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) ) )
      | ( ( k20_filter_2 @ X0 @ X3 @ X2 )
        = ( k5_filter_0 @ ( k1_lattice2 @ X0 ) @ ( k7_filter_2 @ X0 @ X3 ) @ ( k7_filter_2 @ X0 @ X2 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v1_xboole_0 @ X3 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl1093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X3 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( ( k20_filter_2 @ X0 @ X3 @ X2 )
        = ( k5_filter_0 @ ( k1_lattice2 @ X0 ) @ ( k7_filter_2 @ X0 @ X3 ) @ ( k7_filter_2 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v1_xboole_0 @ X2 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1092]) ).

thf(zip_derived_cl6243,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ sk__13 )
      | ~ ( v10_lattices @ sk__13 )
      | ~ ( l3_lattices @ sk__13 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ sk__14 )
      | ( ( k20_filter_2 @ sk__13 @ X1 @ X0 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ ( k7_filter_2 @ sk__13 @ X1 ) @ ( k7_filter_2 @ sk__13 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1166,zip_derived_cl1093]) ).

thf(zip_derived_cl73_014,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_015,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_016,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78_017,plain,
    m2_filter_2 @ sk__14 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ X1 )
      | ~ ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_filter_2]) ).

thf(zip_derived_cl732,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v1_xboole_0 @ sk__14 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl19]) ).

thf(zip_derived_cl73_018,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_019,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_020,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl755,plain,
    ~ ( v1_xboole_0 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl732,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl6257,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( ( k20_filter_2 @ sk__13 @ X1 @ X0 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ ( k7_filter_2 @ sk__13 @ X1 ) @ ( k7_filter_2 @ sk__13 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6243,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl755]) ).

thf(zip_derived_cl6886,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k20_filter_2 @ sk__13 @ X1 @ X0 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ ( k7_filter_2 @ sk__13 @ X1 ) @ X0 ) )
      | ( v3_struct_0 @ sk__13 )
      | ~ ( v10_lattices @ sk__13 )
      | ~ ( l3_lattices @ sk__13 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl6257]) ).

thf(zip_derived_cl73_021,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_022,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_023,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6888,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k20_filter_2 @ sk__13 @ X1 @ X0 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ ( k7_filter_2 @ sk__13 @ X1 ) @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6886,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl6889,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( ( k20_filter_2 @ sk__13 @ X1 @ X0 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ ( k7_filter_2 @ sk__13 @ X1 ) @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6888]) ).

thf(zip_derived_cl6957,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k20_filter_2 @ sk__13 @ X0 @ X1 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ X0 @ X1 ) )
      | ( v3_struct_0 @ sk__13 )
      | ~ ( v10_lattices @ sk__13 )
      | ~ ( l3_lattices @ sk__13 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl6889]) ).

thf(zip_derived_cl73_024,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_025,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_026,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6958,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k20_filter_2 @ sk__13 @ X0 @ X1 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ X0 @ X1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6957,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl6959,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( ( k20_filter_2 @ sk__13 @ X0 @ X1 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ X0 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6958]) ).

thf(t49_filter_0,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_filter_0 @ B @ A )
         => ! [C: $i] :
              ( ( m1_filter_0 @ C @ A )
             => ( ( r1_tarski @ B @ ( k5_filter_0 @ A @ B @ C ) )
                & ( r1_tarski @ C @ ( k5_filter_0 @ A @ B @ C ) ) ) ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_filter_0 @ X0 @ X1 )
      | ( r1_tarski @ X2 @ ( k5_filter_0 @ X1 @ X0 @ X2 ) )
      | ~ ( m1_filter_0 @ X2 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t49_filter_0]) ).

thf(zip_derived_cl7035,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ ( k20_filter_2 @ sk__13 @ X1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6959,zip_derived_cl68]) ).

thf(zip_derived_cl7049,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( r1_tarski @ X0 @ ( k20_filter_2 @ sk__13 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7035]) ).

thf(zip_derived_cl7122,plain,
    ( ~ ( r1_tarski @ sk__14 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) )
    | ~ ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ~ ( m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ( v1_xboole_0 @ sk__14 )
    | ( v1_xboole_0 @ sk__15 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl7049]) ).

thf(zip_derived_cl829_027,plain,
    m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl828,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl76,plain,
    m2_filter_2 @ sk__15 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl708_028,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( m2_filter_2 @ X1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl20]) ).

thf(zip_derived_cl728,plain,
    ( ( m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl708]) ).

thf(zip_derived_cl809,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ( m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl728]) ).

thf(zip_derived_cl73_029,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_030,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_031,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl810,plain,
    m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl755_032,plain,
    ~ ( v1_xboole_0 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl732,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl76_033,plain,
    m2_filter_2 @ sk__15 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_034,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ X1 )
      | ~ ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_filter_2]) ).

thf(zip_derived_cl726,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v1_xboole_0 @ sk__15 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl19]) ).

thf(zip_derived_cl73_035,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_036,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_037,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl754,plain,
    ~ ( v1_xboole_0 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl726,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl7123,plain,
    ( ~ ( r1_tarski @ sk__14 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7122,zip_derived_cl829,zip_derived_cl810,zip_derived_cl755,zip_derived_cl754]) ).

thf(zip_derived_cl4_038,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k7_filter_2 @ X1 @ X0 )
        = X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d6_filter_2]) ).

thf(zip_derived_cl76_039,plain,
    m2_filter_2 @ sk__15 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712_040,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ X0 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ X0 ) )
      | ( m1_filter_0 @ ( k15_filter_2 @ X0 @ X1 ) @ ( k1_lattice2 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl60]) ).

thf(zip_derived_cl730,plain,
    ( ( m1_filter_0 @ ( k15_filter_2 @ sk__13 @ sk__15 ) @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ( v3_struct_0 @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl712]) ).

thf(zip_derived_cl76_041,plain,
    m2_filter_2 @ sk__15 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58_042,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m2_filter_2 @ X1 @ X0 )
      | ( ( k15_filter_2 @ X0 @ X1 )
        = ( k7_filter_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k15_filter_2]) ).

thf(zip_derived_cl727,plain,
    ( ( ( k15_filter_2 @ sk__13 @ sk__15 )
      = ( k7_filter_2 @ sk__13 @ sk__15 ) )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl58]) ).

thf(zip_derived_cl73_043,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_044,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_045,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl785,plain,
    ( ( k15_filter_2 @ sk__13 @ sk__15 )
    = ( k7_filter_2 @ sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl75_046,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_047,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_048,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl877,plain,
    ( ( m1_filter_0 @ ( k7_filter_2 @ sk__13 @ sk__15 ) @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl785,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).

thf(zip_derived_cl882,plain,
    ( ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ~ ( m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl877]) ).

thf(zip_derived_cl73_049,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_050,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_051,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl810_052,plain,
    m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl885,plain,
    ( ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl810]) ).

thf(zip_derived_cl7125,plain,
    ( ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( r1_tarski @ sk__14 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7123,zip_derived_cl885]) ).

thf(zip_derived_cl1159_053,plain,
    ( ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl829]) ).

thf(zip_derived_cl7126,plain,
    ( ~ ( r1_tarski @ sk__14 @ ( k20_filter_2 @ sk__13 @ sk__14 @ sk__15 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7125,zip_derived_cl1159]) ).

thf(zip_derived_cl6959_054,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( ( k20_filter_2 @ sk__13 @ X0 @ X1 )
        = ( k5_filter_0 @ ( k1_lattice2 @ sk__13 ) @ X0 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6958]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_filter_0 @ X0 @ X1 )
      | ( r1_tarski @ X0 @ ( k5_filter_0 @ X1 @ X0 @ X2 ) )
      | ~ ( m1_filter_0 @ X2 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t49_filter_0]) ).

thf(zip_derived_cl7036,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X1 @ ( k20_filter_2 @ sk__13 @ X1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( v1_xboole_0 @ X1 )
      | ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6959,zip_derived_cl69]) ).

thf(zip_derived_cl7050,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk__13 ) )
      | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
      | ( v1_xboole_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
      | ( r1_tarski @ X1 @ ( k20_filter_2 @ sk__13 @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7036]) ).

thf(zip_derived_cl7145,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ~ ( m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ) )
    | ( v1_xboole_0 @ sk__14 )
    | ( v1_xboole_0 @ sk__15 )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7126,zip_derived_cl7050]) ).

thf(zip_derived_cl829_055,plain,
    m1_subset_1 @ sk__14 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl828,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl810_056,plain,
    m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl755_057,plain,
    ~ ( v1_xboole_0 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl732,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl754_058,plain,
    ~ ( v1_xboole_0 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl726,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl7146,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7145,zip_derived_cl829,zip_derived_cl810,zip_derived_cl755,zip_derived_cl754]) ).

thf(zip_derived_cl7147,plain,
    ( ~ ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7146]) ).

thf(zip_derived_cl1159_059,plain,
    ( ( m1_filter_0 @ sk__14 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl829]) ).

thf(zip_derived_cl7150,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7147,zip_derived_cl1159]) ).

thf(zip_derived_cl885_060,plain,
    ( ( m1_filter_0 @ sk__15 @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl810]) ).

thf(zip_derived_cl7151,plain,
    ( ~ ( l3_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl7150,zip_derived_cl885]) ).

thf(zip_derived_cl7153,plain,
    ( ~ ( l3_lattices @ sk__13 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7151]) ).

thf(zip_derived_cl75_061,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7154,plain,
    ( ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) )
    | ~ ( v10_lattices @ ( k1_lattice2 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7153,zip_derived_cl75]) ).

thf(zip_derived_cl7157,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( v10_lattices @ sk__13 )
    | ~ ( l3_lattices @ sk__13 )
    | ( v3_struct_0 @ ( k1_lattice2 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl7154]) ).

thf(zip_derived_cl73_062,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74_063,plain,
    v10_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_064,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7158,plain,
    v3_struct_0 @ ( k1_lattice2 @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl7157,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75]) ).

thf(zip_derived_cl7161,plain,
    ( ( v3_struct_0 @ sk__13 )
    | ~ ( l3_lattices @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl7158]) ).

thf(zip_derived_cl73_065,plain,
    ~ ( v3_struct_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75_066,plain,
    l3_lattices @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7162,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7161,zip_derived_cl73,zip_derived_cl75]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DocUmre1sK true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 09:25:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.95/3.45  % Solved by fo/fo3_bce.sh.
% 19.95/3.45  % BCE start: 79
% 19.95/3.45  % BCE eliminated: 11
% 19.95/3.45  % PE start: 68
% 19.95/3.45  logic: eq
% 19.95/3.45  % PE eliminated: -10
% 19.95/3.45  % done 1552 iterations in 2.692s
% 19.95/3.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.95/3.45  % SZS output start Refutation
% See solution above
% 19.95/3.46  
% 19.95/3.46  
% 19.95/3.46  % Terminating...
% 20.39/3.58  % Runner terminated.
% 20.39/3.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------