TSTP Solution File: LAT310+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT310+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.u1QrOdAPPn true

% Computer : n012.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 06:46:48 EDT 2023

% Result   : Theorem 82.10s 12.54s
% Output   : Refutation 82.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  118 (  62 unt;  15 typ;   0 def)
%            Number of atoms       :  283 (  10 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  953 ( 135   ~; 132   |;  26   &; 638   @)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  67   !;   0   ?;  67   :)

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

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

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

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

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

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

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

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

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

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

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

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

thf(k19_filter_2_type,type,
    k19_filter_2: $i > $i > $i ).

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

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

thf(t39_filter_2,conjecture,
    ! [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 @ A ) ) ) )
                 => ( ( ( r1_tarski @ C @ D )
                     => ( r1_tarski @ ( k19_filter_2 @ A @ C ) @ ( k19_filter_2 @ A @ D ) ) )
                    & ( r1_tarski @ ( k19_filter_2 @ A @ ( k19_filter_2 @ A @ B ) ) @ ( k19_filter_2 @ A @ B ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [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 @ A ) ) ) )
                   => ( ( ( r1_tarski @ C @ D )
                       => ( r1_tarski @ ( k19_filter_2 @ A @ C ) @ ( k19_filter_2 @ A @ D ) ) )
                      & ( r1_tarski @ ( k19_filter_2 @ A @ ( k19_filter_2 @ A @ B ) ) @ ( k19_filter_2 @ A @ B ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t39_filter_2]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ ( k19_filter_2 @ sk_ @ sk__3 ) )
    | ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl9,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k19_filter_2,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A )
        & ~ ( v1_xboole_0 @ B )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
     => ( m2_filter_2 @ ( k19_filter_2 @ A @ B ) @ A ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m2_filter_2 @ ( k19_filter_2 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k19_filter_2]) ).

thf(zip_derived_cl1178,plain,
    ( ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_ )
    | ( v1_xboole_0 @ sk__1 )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).

thf(zip_derived_cl10,plain,
    ~ ( v1_xboole_0 @ sk__1 ),
    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_cl1,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1194,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

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_cl36,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(zip_derived_cl1285,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( m2_lattice4 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl36]) ).

thf(zip_derived_cl0_001,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_002,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_003,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1286,plain,
    m2_lattice4 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1285,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

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_cl38,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_cl1799,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( m1_subset_1 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1286,zip_derived_cl38]) ).

thf(zip_derived_cl0_004,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_005,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1802,plain,
    m1_subset_1 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(d11_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] :
              ( ( m2_filter_2 @ C @ A )
             => ( ( C
                  = ( k19_filter_2 @ A @ B ) )
              <=> ( ( r1_tarski @ B @ C )
                  & ! [D: $i] :
                      ( ( m2_filter_2 @ D @ A )
                     => ( ( r1_tarski @ B @ D )
                       => ( r1_tarski @ C @ D ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( X2
       != ( k19_filter_2 @ X1 @ X0 ) )
      | ~ ( r1_tarski @ X0 @ X3 )
      | ( r1_tarski @ X2 @ X3 )
      | ~ ( m2_filter_2 @ X3 @ X1 )
      | ~ ( m2_filter_2 @ X2 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d11_filter_2]) ).

thf(zip_derived_cl1976,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ )
      | ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ X1 @ sk_ )
      | ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__1 ) @ X1 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) )
      | ( v1_xboole_0 @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1802,zip_derived_cl25]) ).

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

thf(zip_derived_cl1194_010,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl37,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_cl1419,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v1_xboole_0 @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl37]) ).

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

thf(zip_derived_cl1_012,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_013,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1422,plain,
    ~ ( v1_xboole_0 @ ( k19_filter_2 @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1419,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl2006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ X1 @ sk_ )
      | ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__1 ) @ X1 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1976,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl1422]) ).

thf(zip_derived_cl92489,plain,
    ! [X0: $i] :
      ( ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__1 ) @ X0 )
      | ( r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ X0 )
      | ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ sk_ ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2006]) ).

thf(zip_derived_cl1802_014,plain,
    m1_subset_1 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1799,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl27_015,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m2_filter_2 @ ( k19_filter_2 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k19_filter_2]) ).

thf(zip_derived_cl1978,plain,
    ( ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ sk_ )
    | ( v1_xboole_0 @ ( k19_filter_2 @ sk_ @ sk__1 ) )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1802,zip_derived_cl27]) ).

thf(zip_derived_cl1422_016,plain,
    ~ ( v1_xboole_0 @ ( k19_filter_2 @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1419,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl0_017,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_018,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_019,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2008,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1978,zip_derived_cl1422,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl92490,plain,
    ! [X0: $i] :
      ( ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__1 ) @ X0 )
      | ( r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ X0 )
      | ~ ( m2_filter_2 @ X0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl92489,zip_derived_cl2008]) ).

thf(zip_derived_cl96276,plain,
    ( ~ ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_ )
    | ( r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl92490]) ).

thf(zip_derived_cl1194_020,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl96288,plain,
    r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ ( k19_filter_2 @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl96276,zip_derived_cl1194]) ).

thf(zip_derived_cl96297,plain,
    ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ ( k19_filter_2 @ sk_ @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl96288]) ).

thf(zip_derived_cl7,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_021,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m2_filter_2 @ ( k19_filter_2 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k19_filter_2]) ).

thf(zip_derived_cl1180,plain,
    ( ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__3 ) @ sk_ )
    | ( v1_xboole_0 @ sk__3 )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl27]) ).

thf(zip_derived_cl8,plain,
    ~ ( v1_xboole_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1196,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__3 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl8,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25_025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( X2
       != ( k19_filter_2 @ X1 @ X0 ) )
      | ~ ( r1_tarski @ X0 @ X3 )
      | ( r1_tarski @ X2 @ X3 )
      | ~ ( m2_filter_2 @ X3 @ X1 )
      | ~ ( m2_filter_2 @ X2 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d11_filter_2]) ).

thf(zip_derived_cl945,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ )
      | ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ X1 @ sk_ )
      | ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ sk__2 @ X1 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ sk__2 ) )
      | ( v1_xboole_0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl25]) ).

thf(zip_derived_cl0_026,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_027,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_028,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( v1_xboole_0 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl960,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ X1 @ sk_ )
      | ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ sk__2 @ X1 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl945,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl39771,plain,
    ! [X0: $i] :
      ( ~ ( r1_tarski @ sk__2 @ X0 )
      | ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ X0 )
      | ~ ( m2_filter_2 @ X0 @ sk_ )
      | ~ ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__2 ) @ sk_ ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl960]) ).

thf(zip_derived_cl4_029,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_030,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l3_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m2_filter_2 @ ( k19_filter_2 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k19_filter_2]) ).

thf(zip_derived_cl1179,plain,
    ( ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__2 ) @ sk_ )
    | ( v1_xboole_0 @ sk__2 )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl27]) ).

thf(zip_derived_cl3_031,plain,
    ~ ( v1_xboole_0 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_032,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_033,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1195,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__2 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1179,zip_derived_cl3,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl39772,plain,
    ! [X0: $i] :
      ( ~ ( r1_tarski @ sk__2 @ X0 )
      | ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ X0 )
      | ~ ( m2_filter_2 @ X0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl39771,zip_derived_cl1195]) ).

thf(zip_derived_cl39894,plain,
    ( ( r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ ( k19_filter_2 @ sk_ @ sk__3 ) )
    | ~ ( r1_tarski @ sk__2 @ ( k19_filter_2 @ sk_ @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1196,zip_derived_cl39772]) ).

thf(zip_derived_cl7_035,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( X2
       != ( k19_filter_2 @ X1 @ X0 ) )
      | ( r1_tarski @ X0 @ X2 )
      | ~ ( m2_filter_2 @ X2 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d11_filter_2]) ).

thf(zip_derived_cl1066,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v10_lattices @ sk_ )
      | ~ ( l3_lattices @ sk_ )
      | ~ ( m2_filter_2 @ X0 @ sk_ )
      | ( r1_tarski @ sk__3 @ X0 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ sk__3 ) )
      | ( v1_xboole_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl26]) ).

thf(zip_derived_cl0_036,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_037,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_038,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_039,plain,
    ~ ( v1_xboole_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1080,plain,
    ! [X0: $i] :
      ( ~ ( m2_filter_2 @ X0 @ sk_ )
      | ( r1_tarski @ sk__3 @ X0 )
      | ( X0
       != ( k19_filter_2 @ sk_ @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl3938,plain,
    ( ( r1_tarski @ sk__3 @ ( k19_filter_2 @ sk_ @ sk__3 ) )
    | ~ ( m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__3 ) @ sk_ ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1080]) ).

thf(zip_derived_cl1196_040,plain,
    m2_filter_2 @ ( k19_filter_2 @ sk_ @ sk__3 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl8,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl3939,plain,
    r1_tarski @ sk__3 @ ( k19_filter_2 @ sk_ @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl3938,zip_derived_cl1196]) ).

thf(zip_derived_cl6,plain,
    ( ( r1_tarski @ sk__2 @ sk__3 )
    | ~ ( r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ ( k19_filter_2 @ sk_ @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96288_041,plain,
    r1_tarski @ ( k19_filter_2 @ sk_ @ ( k19_filter_2 @ sk_ @ sk__1 ) ) @ ( k19_filter_2 @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl96276,zip_derived_cl1194]) ).

thf(zip_derived_cl96298,plain,
    r1_tarski @ sk__2 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl96288]) ).

thf(t1_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1_tarski @ A @ B )
        & ( r1_tarski @ B @ C ) )
     => ( r1_tarski @ A @ C ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ X1 @ X2 )
      | ( r1_tarski @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t1_xboole_1]) ).

thf(zip_derived_cl96397,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ sk__2 @ X0 )
      | ~ ( r1_tarski @ sk__3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96298,zip_derived_cl64]) ).

thf(zip_derived_cl96498,plain,
    r1_tarski @ sk__2 @ ( k19_filter_2 @ sk_ @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl3939,zip_derived_cl96397]) ).

thf(zip_derived_cl96771,plain,
    r1_tarski @ ( k19_filter_2 @ sk_ @ sk__2 ) @ ( k19_filter_2 @ sk_ @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl39894,zip_derived_cl96498]) ).

thf(zip_derived_cl98624,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl96297,zip_derived_cl96771]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u1QrOdAPPn true
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 05:14:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 82.10/12.54  % Solved by fo/fo5.sh.
% 82.10/12.54  % done 7384 iterations in 11.781s
% 82.10/12.54  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.10/12.54  % SZS output start Refutation
% See solution above
% 82.10/12.55  
% 82.10/12.55  
% 82.10/12.55  % Terminating...
% 82.64/12.66  % Runner terminated.
% 82.64/12.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------