↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT288+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G7K681yXXE true

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:41:22 PM UTC 2025

% Result   : Theorem 83.53s 12.52s
% Output   : Refutation 83.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   72 (  36 unt;   0 typ;   0 def)
%            Number of atoms       :  206 (  15 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  735 (  96   ~;  97   |;  26   &; 505   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   3 con; 0-3 aty)
%            Number of variables   :   63 (   0   ^;  61   !;   2   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v3_realset2_type,type,
    v3_realset2: $i > $o ).

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

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

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

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

thf(a_2_0_lopclset_type,type,
    a_2_0_lopclset: $i > $i > $i ).

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

thf(k7_lopclset_type,type,
    k7_lopclset: $i > $i ).

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

thf(a_1_1_lopclset_type,type,
    a_1_1_lopclset: $i > $i ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i > $i ).

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

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

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

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

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(v1_filter_0_type,type,
    v1_filter_0: $i > $i > $o ).

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

thf(t19_lopclset,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ( r1_tarski @ ( a_2_0_lopclset @ A @ B ) @ ( k7_lopclset @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v17_lattices @ A )
          & ~ ( v3_realset2 @ A )
          & ( l3_lattices @ A ) )
       => ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
           => ( r1_tarski @ ( a_2_0_lopclset @ A @ B ) @ ( k7_lopclset @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t19_lopclset]) ).

thf(zip_derived_cl5,plain,
    ~ ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( k7_lopclset @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d5_lopclset,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k7_lopclset @ A )
        = ( a_1_1_lopclset @ A ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( ( k7_lopclset @ X0 )
        = ( a_1_1_lopclset @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[d5_lopclset]) ).

thf(zip_derived_cl3,plain,
    ~ ( v3_realset2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1040,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( v17_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( ( k7_lopclset @ sk_ )
      = ( a_1_1_lopclset @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ 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_cl2,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1808,plain,
    ( ( k7_lopclset @ sk_ )
    = ( a_1_1_lopclset @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1040,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1809,plain,
    ~ ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1808]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( r1_tarski @ A @ B )
    <=> ! [C: $i] :
          ( ( r2_hidden @ C @ A )
         => ( r2_hidden @ C @ B ) ) ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ( r2_hidden @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl6,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fraenkel_a_2_0_lopclset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( v17_lattices @ B )
        & ~ ( v3_realset2 @ B )
        & ( l3_lattices @ B )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) )
     => ( ( r2_hidden @ A @ ( a_2_0_lopclset @ B @ C ) )
      <=> ? [D: $i] :
            ( ( r2_hidden @ C @ D )
            & ( v1_filter_0 @ D @ B )
            & ( A = D )
            & ( m1_filter_0 @ D @ B ) ) ) ) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( X2
        = ( sk__10 @ X1 @ X0 @ X2 ) )
      | ~ ( r2_hidden @ X2 @ ( a_2_0_lopclset @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fraenkel_a_2_0_lopclset]) ).

thf(zip_derived_cl3_001,plain,
    ~ ( v3_realset2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1058,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( X1
        = ( sk__10 @ X0 @ sk_ @ X1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( v17_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl123,zip_derived_cl3]) ).

thf(zip_derived_cl0_002,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_003,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_005,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2222,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( X1
        = ( sk__10 @ X0 @ sk_ @ X1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1058,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl2223,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
      | ( X0
        = ( sk__10 @ sk__1 @ sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2222]) ).

thf(zip_derived_cl2544,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ( ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
        = ( sk__10 @ sk__1 @ sk_ @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl2223]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( v1_filter_0 @ ( sk__10 @ X1 @ X0 @ X2 ) @ X0 )
      | ~ ( r2_hidden @ X2 @ ( a_2_0_lopclset @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fraenkel_a_2_0_lopclset]) ).

thf(zip_derived_cl3_006,plain,
    ~ ( v3_realset2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1056,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( v1_filter_0 @ ( sk__10 @ X0 @ sk_ @ X1 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( v17_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl122,zip_derived_cl3]) ).

thf(zip_derived_cl0_007,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_008,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_009,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_010,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2200,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( v1_filter_0 @ ( sk__10 @ X0 @ sk_ @ X1 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1056,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl4730,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ~ ( r2_hidden @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
      | ( v1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ )
      | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2544,zip_derived_cl2200]) ).

thf(zip_derived_cl6_011,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4741,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ~ ( r2_hidden @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
      | ( v1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl4730,zip_derived_cl6]) ).

thf(zip_derived_cl85_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ( r2_hidden @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl30859,plain,
    ! [X0: $i] :
      ( ( v1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ )
      | ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4741,zip_derived_cl85]) ).

thf(zip_derived_cl2544_013,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ( ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
        = ( sk__10 @ sk__1 @ sk_ @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl2223]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( m1_filter_0 @ ( sk__10 @ X1 @ X0 @ X2 ) @ X0 )
      | ~ ( r2_hidden @ X2 @ ( a_2_0_lopclset @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fraenkel_a_2_0_lopclset]) ).

thf(zip_derived_cl3_014,plain,
    ~ ( v3_realset2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1060,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( m1_filter_0 @ ( sk__10 @ X0 @ sk_ @ X1 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( v17_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl3]) ).

thf(zip_derived_cl0_015,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_016,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_017,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_018,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2255,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X1 @ ( a_2_0_lopclset @ sk_ @ X0 ) )
      | ( m1_filter_0 @ ( sk__10 @ X0 @ sk_ @ X1 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1060,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl4731,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ~ ( r2_hidden @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
      | ( m1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ )
      | ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2544,zip_derived_cl2255]) ).

thf(zip_derived_cl6_019,plain,
    m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4742,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 )
      | ~ ( r2_hidden @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) )
      | ( m1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl4731,zip_derived_cl6]) ).

thf(zip_derived_cl85_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ( r2_hidden @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl30888,plain,
    ! [X0: $i] :
      ( ( m1_filter_0 @ ( sk__2 @ X0 @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ )
      | ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4742,zip_derived_cl85]) ).

thf(fraenkel_a_1_1_lopclset,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ B )
        & ( v10_lattices @ B )
        & ( v17_lattices @ B )
        & ~ ( v3_realset2 @ B )
        & ( l3_lattices @ B ) )
     => ( ( r2_hidden @ A @ ( a_1_1_lopclset @ B ) )
      <=> ? [C: $i] :
            ( ( v1_filter_0 @ C @ B )
            & ( A = C )
            & ( m1_filter_0 @ C @ B ) ) ) ) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_filter_0 @ X0 @ X1 )
      | ( X2 != X0 )
      | ~ ( m1_filter_0 @ X0 @ X1 )
      | ( r2_hidden @ X2 @ ( a_1_1_lopclset @ X1 ) )
      | ~ ( l3_lattices @ X1 )
      | ( v3_realset2 @ X1 )
      | ~ ( v17_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[fraenkel_a_1_1_lopclset]) ).

thf(zip_derived_cl3_021,plain,
    ~ ( v3_realset2 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1046,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( v17_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ )
      | ( r2_hidden @ X1 @ ( a_1_1_lopclset @ sk_ ) )
      | ~ ( m1_filter_0 @ X0 @ sk_ )
      | ( X1 != X0 )
      | ~ ( v1_filter_0 @ X0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).

thf(zip_derived_cl0_022,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl2_024,plain,
    v17_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_025,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1974,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ X1 @ ( a_1_1_lopclset @ sk_ ) )
      | ~ ( m1_filter_0 @ X0 @ sk_ )
      | ( X1 != X0 )
      | ~ ( v1_filter_0 @ X0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1046,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1975,plain,
    ! [X0: $i] :
      ( ~ ( v1_filter_0 @ X0 @ sk_ )
      | ~ ( m1_filter_0 @ X0 @ sk_ )
      | ( r2_hidden @ X0 @ ( a_1_1_lopclset @ sk_ ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1974]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ~ ( r2_hidden @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl2036,plain,
    ! [X0: $i] :
      ( ~ ( m1_filter_0 @ ( sk__2 @ ( a_1_1_lopclset @ sk_ ) @ X0 ) @ sk_ )
      | ~ ( v1_filter_0 @ ( sk__2 @ ( a_1_1_lopclset @ sk_ ) @ X0 ) @ sk_ )
      | ( r1_tarski @ X0 @ ( a_1_1_lopclset @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1975,zip_derived_cl84]) ).

thf(zip_derived_cl30926,plain,
    ( ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ) )
    | ~ ( v1_filter_0 @ ( sk__2 @ ( a_1_1_lopclset @ sk_ ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ )
    | ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30888,zip_derived_cl2036]) ).

thf(zip_derived_cl1809_026,plain,
    ~ ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1808]) ).

thf(zip_derived_cl1809_027,plain,
    ~ ( r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1808]) ).

thf(zip_derived_cl30938,plain,
    ~ ( v1_filter_0 @ ( sk__2 @ ( a_1_1_lopclset @ sk_ ) @ ( a_2_0_lopclset @ sk_ @ sk__1 ) ) @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl30926,zip_derived_cl1809,zip_derived_cl1809]) ).

thf(zip_derived_cl30939,plain,
    r1_tarski @ ( a_2_0_lopclset @ sk_ @ sk__1 ) @ ( a_1_1_lopclset @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30859,zip_derived_cl30938]) ).

thf(zip_derived_cl30952,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1809,zip_derived_cl30939]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT288+1 : TPTP v9.2.0. Released v3.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G7K681yXXE true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 14:28:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.43/0.62  % Total configuration time : 435
% 0.43/0.62  % Estimated wc time : 1092
% 0.43/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 83.53/12.52  % Solved by fo/fo6_bce.sh.
% 83.53/12.52  % BCE start: 173
% 83.53/12.52  % BCE eliminated: 56
% 83.53/12.52  % PE start: 117
% 83.53/12.52  logic: eq
% 83.53/12.52  % PE eliminated: 34
% 83.53/12.52  % done 2993 iterations in 11.800s
% 83.53/12.52  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 83.53/12.52  % SZS output start Refutation
% See solution above
% 83.53/12.52  
% 83.53/12.52  
% 83.53/12.52  % Terminating...
% 83.53/12.57  % Runner terminated.
% 83.53/12.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------