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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU355+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eFXZEGy6qg true

% Computer : n027.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 04:54:21 PM UTC 2025

% Result   : Theorem 3.70s 1.15s
% Output   : Refutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  195 (  20   ~;  18   |;   2   &; 140   @)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rel_str_type,type,
    rel_str: $i > $o ).

thf(relstr_element_smaller_type,type,
    relstr_element_smaller: $i > $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(relstr_set_smaller_type,type,
    relstr_set_smaller: $i > $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(element_type,type,
    element: $i > $i > $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(related_type,type,
    related: $i > $i > $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(t6_yellow_0,conjecture,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ( ( relstr_set_smaller @ A @ empty_set @ B )
            & ( relstr_element_smaller @ A @ empty_set @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( rel_str @ A )
       => ! [B: $i] :
            ( ( element @ B @ ( the_carrier @ A ) )
           => ( ( relstr_set_smaller @ A @ empty_set @ B )
              & ( relstr_element_smaller @ A @ empty_set @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t6_yellow_0]) ).

thf(zip_derived_cl41,plain,
    element @ sk__9 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d8_lattice3,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i,C: $i] :
          ( ( element @ C @ ( the_carrier @ A ) )
         => ( ( relstr_element_smaller @ A @ B @ C )
          <=> ! [D: $i] :
                ( ( element @ D @ ( the_carrier @ A ) )
               => ( ( in @ D @ B )
                 => ( related @ A @ C @ D ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( in @ ( sk__1 @ X0 @ X2 @ X1 ) @ X2 )
      | ( relstr_element_smaller @ X1 @ X2 @ X0 )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d8_lattice3]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( rel_str @ sk__8 )
      | ( relstr_element_smaller @ sk__8 @ X0 @ sk__9 )
      | ( in @ ( sk__1 @ sk__9 @ X0 @ sk__8 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl3]) ).

thf(zip_derived_cl39,plain,
    rel_str @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ( relstr_element_smaller @ sk__8 @ X0 @ sk__9 )
      | ( in @ ( sk__1 @ sk__9 @ X0 @ sk__8 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl39]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( relstr_element_smaller @ sk__8 @ X0 @ sk__9 )
      | ( X0 != empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl0]) ).

thf(zip_derived_cl41_001,plain,
    element @ sk__9 @ ( the_carrier @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_lattice3,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i,C: $i] :
          ( ( element @ C @ ( the_carrier @ A ) )
         => ( ( relstr_set_smaller @ A @ B @ C )
          <=> ! [D: $i] :
                ( ( element @ D @ ( the_carrier @ A ) )
               => ( ( in @ D @ B )
                 => ( related @ A @ D @ C ) ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ( in @ ( sk__2 @ X0 @ X2 @ X1 ) @ X2 )
      | ( relstr_set_smaller @ X1 @ X2 @ X0 )
      | ~ ( rel_str @ X1 ) ),
    inference(cnf,[status(esa)],[d9_lattice3]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( ~ ( rel_str @ sk__8 )
      | ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
      | ( in @ ( sk__2 @ sk__9 @ X0 @ sk__8 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl7]) ).

thf(zip_derived_cl39_002,plain,
    rel_str @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
      | ( in @ ( sk__2 @ sk__9 @ X0 @ sk__8 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl39]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl628,plain,
    ! [X0: $i] :
      ( ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
      | ( X0 != empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl0]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( relstr_set_smaller @ sk__8 @ empty_set @ sk__9 )
    | ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl655,plain,
    ( ( empty_set != empty_set )
    | ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl40]) ).

thf(zip_derived_cl656,plain,
    ~ ( relstr_element_smaller @ sk__8 @ empty_set @ sk__9 ),
    inference(simplify,[status(thm)],[zip_derived_cl655]) ).

thf(zip_derived_cl665,plain,
    empty_set != empty_set,
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl656]) ).

thf(zip_derived_cl666,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl665]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU355+2 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eFXZEGy6qg true
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 16:03:38 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.46/0.62  % Total configuration time : 435
% 0.46/0.62  % Estimated wc time : 1092
% 0.46/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.70/1.15  % Solved by fo/fo4.sh.
% 3.70/1.15  % done 229 iterations in 0.392s
% 3.70/1.15  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.70/1.15  % SZS output start Refutation
% See solution above
% 3.70/1.15  
% 3.70/1.15  
% 3.70/1.15  % Terminating...
% 4.39/1.25  % Runner terminated.
% 4.39/1.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------