TSTP Solution File: LAT337+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT337+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.JrEqstYBJQ true

% Computer : n002.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 06:47:04 EDT 2023

% Result   : Theorem 1.45s 1.02s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  173 (  92 unt;  26 typ;   0 def)
%            Number of atoms       :  492 (   0 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives : 1596 ( 264   ~; 265   |;  58   &; 987   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  26 usr;   4 con; 0-3 aty)
%            Number of variables   :   51 (   0   ^;  51   !;   0   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r3_lattices_type,type,
    r3_lattices: $i > $i > $i > $o ).

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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

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

thf(k23_filter_2_type,type,
    k23_filter_2: $i > $i > $i ).

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

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

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

thf(v12_lattices_type,type,
    v12_lattices: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

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

thf(sk__type,type,
    sk_: $i ).

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

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

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

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

thf(k22_filter_2_type,type,
    k22_filter_2: $i > $i > $i > $i ).

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

thf(dt_k22_filter_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
     => ( ~ ( v1_xboole_0 @ ( k22_filter_2 @ A @ B @ C ) )
        & ( m2_lattice4 @ ( k22_filter_2 @ A @ B @ C ) @ A ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( m2_lattice4 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k22_filter_2]) ).

thf(t78_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v1_xboole_0 @ B )
            & ( m2_lattice4 @ B @ A ) )
         => ( ( v11_lattices @ A )
           => ( v11_lattices @ ( k23_filter_2 @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m2_lattice4 @ X0 @ X1 )
      | ( v11_lattices @ ( k23_filter_2 @ X1 @ X0 ) )
      | ~ ( v11_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t78_filter_2]) ).

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_cl39,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(t87_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v17_lattices @ A )
                  & ( l3_lattices @ A )
                  & ( r3_lattices @ A @ B @ C ) )
               => ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( v17_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_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] :
            ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ( ( ~ ( v3_struct_0 @ A )
                    & ( v10_lattices @ A )
                    & ( v17_lattices @ A )
                    & ( l3_lattices @ A )
                    & ( r3_lattices @ A @ B @ C ) )
                 => ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                    & ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                    & ( v17_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                    & ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t87_filter_2]) ).

thf(zip_derived_cl4,plain,
    ( ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676,plain,
    ( ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl39,zip_derived_cl4]) ).

thf(zip_derived_cl3225,plain,
    ( ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1676]) ).

thf(cc7_lattices,axiom,
    ! [A: $i] :
      ( ( l3_lattices @ A )
     => ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v11_lattices @ A ) )
       => ( ~ ( v3_struct_0 @ A )
          & ( v4_lattices @ A )
          & ( v5_lattices @ A )
          & ( v6_lattices @ A )
          & ( v7_lattices @ A )
          & ( v8_lattices @ A )
          & ( v9_lattices @ A )
          & ( v10_lattices @ A )
          & ( v12_lattices @ A ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ( v12_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc7_lattices]) ).

thf(zip_derived_cl5,plain,
    r3_lattices @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t86_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ( ( ~ ( v3_struct_0 @ A )
                  & ( v10_lattices @ A )
                  & ( v15_lattices @ A )
                  & ( v16_lattices @ A )
                  & ( l3_lattices @ A )
                  & ( v12_lattices @ A )
                  & ( r3_lattices @ A @ B @ C ) )
               => ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( v15_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( v16_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
                  & ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( v15_lattices @ X1 )
      | ~ ( v16_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v12_lattices @ X1 )
      | ~ ( r3_lattices @ X1 @ X0 @ X2 )
      | ( v10_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t86_filter_2]) ).

thf(zip_derived_cl1646,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl241]) ).

thf(zip_derived_cl3065,plain,
    ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v12_lattices @ sk_ )
    | ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1646]) ).

thf(zip_derived_cl10,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    v17_lattices @ sk_,
    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_cl36,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_cl1673,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ( v15_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).

thf(zip_derived_cl2,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2637,plain,
    v15_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl7_001,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,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_cl1674,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ( v16_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl37]) ).

thf(zip_derived_cl2_002,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_003,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2638,plain,
    v16_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_005,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3066,plain,
    ( ~ ( v12_lattices @ sk_ )
    | ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3065,zip_derived_cl10,zip_derived_cl2637,zip_derived_cl2638,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3067,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3066]) ).

thf(zip_derived_cl2_006,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_007,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,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_cl1671,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ( v11_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl33]) ).

thf(zip_derived_cl2_008,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_009,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1_010,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_011,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3068,plain,
    v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3067,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl40_012,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ( v12_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc7_lattices]) ).

thf(zip_derived_cl5_013,plain,
    r3_lattices @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( v15_lattices @ X1 )
      | ~ ( v16_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v12_lattices @ X1 )
      | ~ ( r3_lattices @ X1 @ X0 @ X2 )
      | ~ ( v3_struct_0 @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t86_filter_2]) ).

thf(zip_derived_cl1645,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl240]) ).

thf(zip_derived_cl3047,plain,
    ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1645]) ).

thf(zip_derived_cl10_014,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2637_015,plain,
    v15_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2638_016,plain,
    v16_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_017,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_018,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_019,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_020,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3048,plain,
    ( ~ ( v12_lattices @ sk_ )
    | ~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3047,zip_derived_cl10,zip_derived_cl2637,zip_derived_cl2638,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3049,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3048]) ).

thf(zip_derived_cl2_021,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630_022,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1_023,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_024,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3050,plain,
    ~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3049,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl40_025,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ( v12_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc7_lattices]) ).

thf(zip_derived_cl5_026,plain,
    r3_lattices @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( v15_lattices @ X1 )
      | ~ ( v16_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v12_lattices @ X1 )
      | ~ ( r3_lattices @ X1 @ X0 @ X2 )
      | ( v15_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t86_filter_2]) ).

thf(zip_derived_cl1647,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl242]) ).

thf(zip_derived_cl3076,plain,
    ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v12_lattices @ sk_ )
    | ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1647]) ).

thf(zip_derived_cl10_027,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2637_028,plain,
    v15_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2638_029,plain,
    v16_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_030,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_031,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_032,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_033,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3077,plain,
    ( ~ ( v12_lattices @ sk_ )
    | ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3076,zip_derived_cl10,zip_derived_cl2637,zip_derived_cl2638,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3078,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3077]) ).

thf(zip_derived_cl2_034,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630_035,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1_036,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_037,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3079,plain,
    v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3078,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl40_038,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ( v12_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc7_lattices]) ).

thf(zip_derived_cl5_039,plain,
    r3_lattices @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( v15_lattices @ X1 )
      | ~ ( v16_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v12_lattices @ X1 )
      | ~ ( r3_lattices @ X1 @ X0 @ X2 )
      | ( v16_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t86_filter_2]) ).

thf(zip_derived_cl1648,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl243]) ).

thf(zip_derived_cl3095,plain,
    ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v12_lattices @ sk_ )
    | ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1648]) ).

thf(zip_derived_cl10_040,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2637_041,plain,
    v15_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2638_042,plain,
    v16_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_043,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_044,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_045,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_046,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3096,plain,
    ( ~ ( v12_lattices @ sk_ )
    | ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3095,zip_derived_cl10,zip_derived_cl2637,zip_derived_cl2638,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3097,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3096]) ).

thf(zip_derived_cl2_047,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630_048,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1_049,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_050,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3098,plain,
    v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3097,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl40_051,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v11_lattices @ X0 )
      | ( v12_lattices @ X0 )
      | ~ ( l3_lattices @ X0 ) ),
    inference(cnf,[status(esa)],[cc7_lattices]) ).

thf(zip_derived_cl5_052,plain,
    r3_lattices @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( v3_struct_0 @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ~ ( v15_lattices @ X1 )
      | ~ ( v16_lattices @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v12_lattices @ X1 )
      | ~ ( r3_lattices @ X1 @ X0 @ X2 )
      | ( l3_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t86_filter_2]) ).

thf(zip_derived_cl1649,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( v12_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl244]) ).

thf(zip_derived_cl3103,plain,
    ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v15_lattices @ sk_ )
    | ~ ( v16_lattices @ sk_ )
    | ~ ( v12_lattices @ sk_ )
    | ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1649]) ).

thf(zip_derived_cl10_053,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2637_054,plain,
    v15_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2638_055,plain,
    v16_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_056,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_057,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_058,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_059,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3104,plain,
    ( ~ ( v12_lattices @ sk_ )
    | ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3103,zip_derived_cl10,zip_derived_cl2637,zip_derived_cl2638,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3105,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl3104]) ).

thf(zip_derived_cl2_060,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630_061,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1_062,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_063,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3106,plain,
    l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3105,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3226,plain,
    ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3225,zip_derived_cl3068,zip_derived_cl3050,zip_derived_cl3079,zip_derived_cl3098,zip_derived_cl3106]) ).

thf(zip_derived_cl3227,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v11_lattices @ sk_ )
    | ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ )
    | ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl3226]) ).

thf(zip_derived_cl0_064,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_065,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_066,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2630_067,plain,
    v11_lattices @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3_068,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_069,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( v1_xboole_0 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[dt_k22_filter_2]) ).

thf(zip_derived_cl2641,plain,
    ! [X0: $i] :
      ( ~ ( l3_lattices @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ( v3_struct_0 @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl53]) ).

thf(zip_derived_cl2_070,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_071,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_072,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2644,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2641,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2649,plain,
    ~ ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2644]) ).

thf(zip_derived_cl3232,plain,
    ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3227,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl2630,zip_derived_cl2649]) ).

thf(zip_derived_cl3233,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl3232]) ).

thf(zip_derived_cl3_073,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_074,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_075,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_076,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_077,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3236,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3233,zip_derived_cl3,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT337+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.JrEqstYBJQ true
% 0.14/0.35  % Computer : n002.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 05:32:31 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.20/0.68  % Total configuration time : 435
% 0.20/0.68  % Estimated wc time : 1092
% 0.20/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.93  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.45/1.02  % Solved by fo/fo6_bce.sh.
% 1.45/1.02  % BCE start: 246
% 1.45/1.02  % BCE eliminated: 10
% 1.45/1.02  % PE start: 236
% 1.45/1.02  logic: eq
% 1.45/1.02  % PE eliminated: -35
% 1.45/1.02  % done 328 iterations in 0.291s
% 1.45/1.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/1.02  % SZS output start Refutation
% See solution above
% 1.45/1.02  
% 1.45/1.02  
% 1.45/1.02  % Terminating...
% 1.84/1.08  % Runner terminated.
% 1.84/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------