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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM394+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EmkTc6a0GR true

% Computer : n006.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 04:46:52 PM UTC 2025

% Result   : Theorem 0.58s 0.84s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   5 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  148 (  27   ~;  20   |;   4   &;  86   @)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
    epsilon_transitive: $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(ordinal_subset_type,type,
    ordinal_subset: $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(epsilon_connected_type,type,
    epsilon_connected: $i > $o ).

thf(ordinal_type,type,
    ordinal: $i > $o ).

thf(redefinition_r1_ordinal1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( ordinal @ A )
        & ( ordinal @ B ) )
     => ( ( ordinal_subset @ A @ B )
      <=> ( subset @ A @ B ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( ordinal_subset @ X0 @ X1 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).

thf(t26_ordinal1,conjecture,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ( ( ordinal_subset @ A @ B )
            | ( in @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ordinal @ A )
       => ! [B: $i] :
            ( ( ordinal @ B )
           => ( ( ordinal_subset @ A @ B )
              | ( in @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t26_ordinal1]) ).

thf(zip_derived_cl53,plain,
    ~ ( ordinal_subset @ sk__13 @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ( ~ ( subset @ sk__13 @ sk__14 )
    | ~ ( ordinal @ sk__14 )
    | ~ ( ordinal @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl53]) ).

thf(zip_derived_cl54,plain,
    ordinal @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ordinal @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl334,plain,
    ~ ( subset @ sk__13 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl54,zip_derived_cl51]) ).

thf(t24_ordinal1,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ~ ( ~ ( in @ A @ B )
              & ( A != B )
              & ~ ( in @ B @ A ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ( in @ X1 @ X0 )
      | ( X1 = X0 )
      | ( in @ X0 @ X1 )
      | ~ ( ordinal @ X1 ) ),
    inference(cnf,[status(esa)],[t24_ordinal1]) ).

thf(zip_derived_cl52,plain,
    ~ ( in @ sk__14 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ~ ( ordinal @ sk__14 )
    | ( in @ sk__13 @ sk__14 )
    | ( sk__14 = sk__13 )
    | ~ ( ordinal @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl52]) ).

thf(zip_derived_cl54_001,plain,
    ordinal @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_002,plain,
    ordinal @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ( in @ sk__13 @ sk__14 )
    | ( sk__14 = sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl54,zip_derived_cl51]) ).

thf(cc1_ordinal1,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( ( epsilon_transitive @ A )
        & ( epsilon_connected @ A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( epsilon_transitive @ X0 )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_ordinal1]) ).

thf(d2_ordinal1,axiom,
    ! [A: $i] :
      ( ( epsilon_transitive @ A )
    <=> ! [B: $i] :
          ( ( in @ B @ A )
         => ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ X0 @ X1 )
      | ~ ( epsilon_transitive @ X1 ) ),
    inference(cnf,[status(esa)],[d2_ordinal1]) ).

thf(zip_derived_cl334_003,plain,
    ~ ( subset @ sk__13 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl54,zip_derived_cl51]) ).

thf(zip_derived_cl335,plain,
    ( ~ ( epsilon_transitive @ sk__14 )
    | ~ ( in @ sk__13 @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl334]) ).

thf(zip_derived_cl336,plain,
    ( ~ ( ordinal @ sk__14 )
    | ~ ( in @ sk__13 @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl335]) ).

thf(zip_derived_cl54_004,plain,
    ordinal @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl337,plain,
    ~ ( in @ sk__13 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl54]) ).

thf(zip_derived_cl356,plain,
    sk__14 = sk__13,
    inference(clc,[status(thm)],[zip_derived_cl353,zip_derived_cl337]) ).

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

thf(zip_derived_cl48,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl360,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl356,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem  : NUM394+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EmkTc6a0GR true
% 0.14/0.38  % Computer : n006.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Wed Oct  1 16:40:38 EDT 2025
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  % Running portfolio for 300 s
% 0.14/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  % Number of cores: 8
% 0.14/0.39  % Python version: Python 3.6.8
% 0.14/0.39  % Running in FO mode
% 0.55/0.67  % Total configuration time : 435
% 0.55/0.67  % Estimated wc time : 1092
% 0.55/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84  % Solved by fo/fo6_bce.sh.
% 0.58/0.84  % BCE start: 63
% 0.58/0.84  % BCE eliminated: 6
% 0.58/0.84  % PE start: 57
% 0.58/0.84  logic: eq
% 0.58/0.84  % PE eliminated: 2
% 0.58/0.84  % done 67 iterations in 0.045s
% 0.58/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.84  % SZS output start Refutation
% See solution above
% 0.58/0.84  
% 0.58/0.84  
% 0.58/0.84  % Terminating...
% 1.24/0.89  % Runner terminated.
% 1.24/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------