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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN966+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RTdf3a2Sy7 true

% Computer : n001.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 05:06:05 PM UTC 2025

% Result   : Theorem 1.26s 2.76s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  142 (  14   ~;  14   |;   0   &; 106   @)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_member_of_type,type,
    a_member_of: $i > $i > $o ).

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

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

thf(eq_type,type,
    eq: $i > $i > $o ).

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

thf(prove_this,conjecture,
    ( ! [X: $i,Y: $i] :
        ( ( eq @ X @ Y )
      <=> ! [Z: $i] :
            ( ( a_member_of @ Z @ X )
          <=> ( a_member_of @ Z @ Y ) ) )
   => ! [A: $i,B: $i] :
        ( ( eq @ A @ B )
       => ( eq @ B @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i,Y: $i] :
          ( ( eq @ X @ Y )
        <=> ! [Z: $i] :
              ( ( a_member_of @ Z @ X )
            <=> ( a_member_of @ Z @ Y ) ) )
     => ! [A: $i,B: $i] :
          ( ( eq @ A @ B )
         => ( eq @ B @ A ) ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl5,plain,
    eq @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X3: $i,X4: $i] :
      ( ~ ( a_member_of @ X4 @ X0 )
      | ( a_member_of @ X4 @ X3 )
      | ~ ( eq @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( a_member_of @ X0 @ sk_ )
      | ( a_member_of @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( eq @ X0 @ X1 )
      | ( a_member_of @ ( sk__2 @ X1 @ X0 ) @ X1 )
      | ( a_member_of @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_001,plain,
    eq @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X2: $i,X3: $i] :
      ( ~ ( a_member_of @ X2 @ X3 )
      | ( a_member_of @ X2 @ X0 )
      | ~ ( eq @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ~ ( a_member_of @ X0 @ sk__1 )
      | ( a_member_of @ X0 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ X0 )
      | ( eq @ sk__1 @ X0 )
      | ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).

thf(zip_derived_cl60,plain,
    ( ( eq @ sk__1 @ sk_ )
    | ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_ ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl23]) ).

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

thf(zip_derived_cl61,plain,
    a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( eq @ X0 @ X1 )
      | ~ ( a_member_of @ ( sk__2 @ X1 @ X0 ) @ X1 )
      | ~ ( a_member_of @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ( ( eq @ sk__1 @ sk_ )
    | ~ ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl0]) ).

thf(zip_derived_cl4_002,plain,
    ~ ( eq @ sk__1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ~ ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

thf(zip_derived_cl69,plain,
    ~ ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl68]) ).

thf(zip_derived_cl61_003,plain,
    a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl4]) ).

thf(zip_derived_cl71,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.10  % Problem  : SYN966+1 : TPTP v9.2.0. Released v3.1.0.
% 0.12/1.18  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RTdf3a2Sy7 true
% 0.12/1.60  % Computer : n001.cluster.edu
% 0.12/1.60  % Model    : x86_64 x86_64
% 0.12/1.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.60  % Memory   : 8042.1875MB
% 0.12/1.60  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/1.60  % CPULimit : 300
% 0.12/1.60  % WCLimit  : 300
% 0.12/1.60  % DateTime : Wed Oct  1 13:40:24 EDT 2025
% 0.12/1.61  % CPUTime  : 
% 0.12/1.61  % Running portfolio for 300 s
% 0.12/1.61  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/1.63  % Number of cores: 8
% 0.12/1.64  % Python version: Python 3.6.8
% 0.19/1.67  % Running in FO mode
% 0.51/2.42  % Total configuration time : 435
% 0.51/2.42  % Estimated wc time : 1092
% 0.51/2.42  % Estimated cpu time (7 cpus) : 156.0
% 0.51/2.55  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/2.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/2.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/2.76  % Solved by fo/fo6_bce.sh.
% 1.26/2.76  % BCE start: 6
% 1.26/2.76  % BCE eliminated: 0
% 1.26/2.76  % PE start: 6
% 1.26/2.76  logic: neq
% 1.26/2.76  % PE eliminated: 0
% 1.26/2.76  % done 18 iterations in 0.059s
% 1.26/2.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/2.76  % SZS output start Refutation
% See solution above
% 1.26/2.76  
% 1.26/2.76  
% 1.26/2.76  % Terminating...
% 1.44/3.14  % Runner terminated.
% 1.48/3.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------