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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET044+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lpfnmLjqi0 true

% Computer : n016.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 04:51:18 PM UTC 2025

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   74 (  10   ~;   5   |;   0   &;  53   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  13   !;   4   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i ).

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

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

thf(pel40,conjecture,
    ( ? [Y: $i] :
      ! [X: $i] :
        ( ( element @ X @ Y )
      <=> ( element @ X @ X ) )
   => ~ ! [X1: $i] :
        ? [Y1: $i] :
        ! [Z: $i] :
          ( ( element @ Z @ Y1 )
        <=> ~ ( element @ Z @ X1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [Y: $i] :
        ! [X: $i] :
          ( ( element @ X @ Y )
        <=> ( element @ X @ X ) )
     => ~ ! [X1: $i] :
          ? [Y1: $i] :
          ! [Z: $i] :
            ( ( element @ Z @ Y1 )
          <=> ~ ( element @ Z @ X1 ) ) ),
    inference('cnf.neg',[status(esa)],[pel40]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( element @ X2 @ ( sk_ @ X3 ) )
      | ( element @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ sk__1 )
      | ~ ( element @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( element @ ( sk_ @ X0 ) @ X0 )
      | ( element @ ( sk_ @ X0 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    element @ ( sk_ @ sk__1 ) @ sk__1,
    inference(eq_fact,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i] :
      ( ( element @ X1 @ X1 )
      | ~ ( element @ X1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    element @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( element @ X4 @ X3 )
      | ~ ( element @ X4 @ ( sk_ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( element @ ( sk_ @ sk__1 ) @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl11_001,plain,
    element @ ( sk_ @ sk__1 ) @ sk__1,
    inference(eq_fact,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET044+1 : TPTP v9.2.0. Released v2.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lpfnmLjqi0 true
% 0.12/0.34  % Computer : n016.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 : Wed Oct  1 13:03:23 EDT 2025
% 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
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % Solved by fo/fo6_bce.sh.
% 0.57/0.76  % BCE start: 4
% 0.57/0.76  % BCE eliminated: 0
% 0.57/0.76  % PE start: 4
% 0.57/0.76  logic: neq
% 0.57/0.76  % PE eliminated: 0
% 0.57/0.76  % done 7 iterations in 0.010s
% 0.57/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.76  % SZS output start Refutation
% See solution above
% 0.57/0.76  
% 0.57/0.76  
% 0.57/0.76  % Terminating...
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.50/0.89  % Runner terminated.
% 1.52/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------