TSTP Solution File: ALG223+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG223+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.XwoEvPxymx true

% Computer : n024.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 : Wed Aug 30 17:12:18 EDT 2023

% Result   : Theorem 1.60s 1.11s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   71 (  30 unt;  14 typ;   0 def)
%            Number of atoms       :  143 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  688 (  76   ~;  66   |;   5   &; 526   @)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :   66 (   0   ^;  66   !;   0   ?;  66   :)

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

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

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

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(m1_pboole_type,type,
    m1_pboole: $i > $i > $o ).

thf(r1_closure3_type,type,
    r1_closure3: $i > $i > $i > $i > $o ).

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

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

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

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

thf(k1_closure2_type,type,
    k1_closure2: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

thf(t4_closure3,conjecture,
    ! [A: $i,B: $i] :
      ( ( m1_pboole @ B @ A )
     => ! [C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
         => ! [D: $i] :
              ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
             => ! [E: $i] :
                  ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
                 => ( ( ( r1_closure3 @ A @ B @ D @ C )
                      & ( r1_closure3 @ A @ B @ E @ D ) )
                   => ( r1_closure3 @ A @ B @ E @ C ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( m1_pboole @ B @ A )
       => ! [C: $i] :
            ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
           => ! [D: $i] :
                ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
               => ! [E: $i] :
                    ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
                   => ( ( ( r1_closure3 @ A @ B @ D @ C )
                        & ( r1_closure3 @ A @ B @ E @ D ) )
                     => ( r1_closure3 @ A @ B @ E @ C ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t4_closure3]) ).

thf(zip_derived_cl2,plain,
    r1_closure3 @ sk_ @ sk__1 @ sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_closure3,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_pboole @ B @ A )
     => ! [C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
         => ! [D: $i] :
              ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k1_closure2 @ A @ B ) ) )
             => ( ( r1_closure3 @ A @ B @ C @ D )
              <=> ! [E: $i] :
                    ~ ( ( r2_hidden @ E @ D )
                      & ! [F: $i] :
                          ~ ( ( r2_hidden @ F @ C )
                            & ( r1_tarski @ E @ F ) ) ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( r2_hidden @ X4 @ X3 )
      | ( r2_hidden @ ( sk__6 @ X4 @ X0 ) @ X0 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl331,plain,
    ! [X0: $i] :
      ( ~ ( m1_pboole @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
      | ( r2_hidden @ ( sk__6 @ X0 @ sk__3 ) @ sk__3 )
      | ~ ( r2_hidden @ X0 @ sk__2 )
      | ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(zip_derived_cl0,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i] :
      ( ( r2_hidden @ ( sk__6 @ X0 @ sk__3 ) @ sk__3 )
      | ~ ( r2_hidden @ X0 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl0,zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( r1_tarski @ ( sk__5 @ X3 @ X0 ) @ X4 )
      | ~ ( r2_hidden @ X4 @ X0 )
      | ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl4,plain,
    ~ ( r1_closure3 @ sk_ @ sk__1 @ sk__4 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ~ ( m1_pboole @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
      | ~ ( r2_hidden @ X0 @ sk__4 )
      | ~ ( r1_tarski @ ( sk__5 @ sk__2 @ sk__4 ) @ X0 )
      | ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl4]) ).

thf(zip_derived_cl0_001,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_002,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__4 )
      | ~ ( r1_tarski @ ( sk__5 @ sk__2 @ sk__4 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl0,zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    r1_closure3 @ sk_ @ sk__1 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( r2_hidden @ X4 @ X3 )
      | ( r1_tarski @ X4 @ ( sk__6 @ X4 @ X0 ) )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i] :
      ( ~ ( m1_pboole @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
      | ( r1_tarski @ X0 @ ( sk__6 @ X0 @ sk__4 ) )
      | ~ ( r2_hidden @ X0 @ sk__3 )
      | ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl0_003,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_004,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_005,plain,
    m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl530,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ X0 @ ( sk__6 @ X0 @ sk__4 ) )
      | ~ ( r2_hidden @ X0 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl0,zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl2_006,plain,
    r1_closure3 @ sk_ @ sk__1 @ sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( r2_hidden @ X4 @ X3 )
      | ( r1_tarski @ X4 @ ( sk__6 @ X4 @ X0 ) )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( m1_pboole @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
      | ( r1_tarski @ X0 @ ( sk__6 @ X0 @ sk__3 ) )
      | ~ ( r2_hidden @ X0 @ sk__2 )
      | ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).

thf(zip_derived_cl0_008,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_009,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_010,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl479,plain,
    ! [X0: $i] :
      ( ( r1_tarski @ X0 @ ( sk__6 @ X0 @ sk__3 ) )
      | ~ ( r2_hidden @ X0 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl0,zip_derived_cl6,zip_derived_cl1]) ).

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_cl74,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_cl480,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__2 )
      | ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ ( sk__6 @ X0 @ sk__3 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl74]) ).

thf(zip_derived_cl533,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ ( sk__6 @ X0 @ sk__3 ) @ sk__3 )
      | ( r1_tarski @ X0 @ ( sk__6 @ ( sk__6 @ X0 @ sk__3 ) @ sk__4 ) )
      | ~ ( r2_hidden @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl480]) ).

thf(zip_derived_cl457_011,plain,
    ! [X0: $i] :
      ( ( r2_hidden @ ( sk__6 @ X0 @ sk__3 ) @ sk__3 )
      | ~ ( r2_hidden @ X0 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl0,zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl2496,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__2 )
      | ( r1_tarski @ X0 @ ( sk__6 @ ( sk__6 @ X0 @ sk__3 ) @ sk__4 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl533,zip_derived_cl457]) ).

thf(zip_derived_cl2528,plain,
    ( ~ ( r2_hidden @ ( sk__6 @ ( sk__6 @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__3 ) @ sk__4 ) @ sk__4 )
    | ~ ( r2_hidden @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl643,zip_derived_cl2496]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ( r2_hidden @ ( sk__5 @ X3 @ X0 ) @ X3 )
      | ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl4_012,plain,
    ~ ( r1_closure3 @ sk_ @ sk__1 @ sk__4 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    ( ~ ( m1_pboole @ sk__1 @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
    | ( r2_hidden @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__2 )
    | ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl0_013,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_014,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_015,plain,
    m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    r2_hidden @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl0,zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl2534,plain,
    ~ ( r2_hidden @ ( sk__6 @ ( sk__6 @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__3 ) @ sk__4 ) @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl2528,zip_derived_cl553]) ).

thf(zip_derived_cl3_016,plain,
    r1_closure3 @ sk_ @ sk__1 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( r1_closure3 @ X1 @ X2 @ X0 @ X3 )
      | ~ ( r2_hidden @ X4 @ X3 )
      | ( r2_hidden @ ( sk__6 @ X4 @ X0 ) @ X0 )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ X1 @ X2 ) ) )
      | ~ ( m1_pboole @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_closure3]) ).

thf(zip_derived_cl336,plain,
    ! [X0: $i] :
      ( ~ ( m1_pboole @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) )
      | ( r2_hidden @ ( sk__6 @ X0 @ sk__4 ) @ sk__4 )
      | ~ ( r2_hidden @ X0 @ sk__3 )
      | ~ ( m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).

thf(zip_derived_cl0_018,plain,
    m1_pboole @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_019,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_020,plain,
    m1_subset_1 @ sk__4 @ ( k1_zfmisc_1 @ ( k1_closure2 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl507,plain,
    ! [X0: $i] :
      ( ( r2_hidden @ ( sk__6 @ X0 @ sk__4 ) @ sk__4 )
      | ~ ( r2_hidden @ X0 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl0,zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl2537,plain,
    ~ ( r2_hidden @ ( sk__6 @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__3 ) @ sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl2534,zip_derived_cl507]) ).

thf(zip_derived_cl2548,plain,
    ~ ( r2_hidden @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl2537]) ).

thf(zip_derived_cl553_021,plain,
    r2_hidden @ ( sk__5 @ sk__2 @ sk__4 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl0,zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl2551,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2548,zip_derived_cl553]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG223+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.XwoEvPxymx true
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 02:44:08 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.19/0.65  % Total configuration time : 435
% 0.19/0.65  % Estimated wc time : 1092
% 0.19/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.60/1.11  % Solved by fo/fo3_bce.sh.
% 1.60/1.11  % BCE start: 83
% 1.60/1.11  % BCE eliminated: 18
% 1.60/1.11  % PE start: 65
% 1.60/1.11  logic: eq
% 1.60/1.11  % PE eliminated: -7
% 1.60/1.11  % done 657 iterations in 0.354s
% 1.60/1.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.60/1.11  % SZS output start Refutation
% See solution above
% 1.60/1.11  
% 1.60/1.11  
% 1.60/1.11  % Terminating...
% 2.03/1.16  % Runner terminated.
% 2.03/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------