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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU814^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxLEjT8Uxx 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 04:56:35 PM UTC 2025

% Result   : Theorem 0.44s 0.74s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   77 (   7 equ;   0 cnn)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  169 (   8   ~;   6   |;   0   &; 117   @)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   46 (   3   ^;  43   !;   0   ?;  46   :)

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

thf(subsetE_type,type,
    subsetE: $o ).

thf(transitiveset_type,type,
    transitiveset: $i > $o ).

thf(transitivesetOp1_type,type,
    transitivesetOp1: $o ).

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

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

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(transitivesetOp1,axiom,
    ( transitivesetOp1
    = ( ! [X: $i] :
          ( ( transitiveset @ X )
         => ! [A: $i] :
              ( ( in @ A @ X )
             => ( subset @ A @ X ) ) ) ) ) ).

thf('0',plain,
    ( transitivesetOp1
    = ( ! [X4: $i] :
          ( ( transitiveset @ X4 )
         => ! [X6: $i] :
              ( ( in @ X6 @ X4 )
             => ( subset @ X6 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(transitiveset,axiom,
    ( transitiveset
    = ( ^ [A: $i] :
        ! [X: $i] :
          ( ( in @ X @ A )
         => ( subset @ X @ A ) ) ) ) ).

thf('1',plain,
    ( transitiveset
    = ( ^ [A: $i] :
        ! [X: $i] :
          ( ( in @ X @ A )
         => ( subset @ X @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[transitiveset]) ).

thf('2',plain,
    ( transitiveset
    = ( ^ [V_1: $i] :
        ! [X4: $i] :
          ( ( in @ X4 @ V_1 )
         => ( subset @ X4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(subsetE,axiom,
    ( subsetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) ) ) ).

thf('3',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(transitivesetOp2,conjecture,
    ( subsetE
   => ( transitivesetOp1
     => ! [X: $i] :
          ( ( transitiveset @ X )
         => ! [A: $i,Xx: $i] :
              ( ( in @ A @ X )
             => ( ( in @ Xx @ A )
               => ( in @ Xx @ X ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( subset @ X4 @ X6 )
       => ( ( in @ X8 @ X4 )
         => ( in @ X8 @ X6 ) ) )
   => ( ! [X10: $i] :
          ( ! [X12: $i] :
              ( ( in @ X12 @ X10 )
             => ( subset @ X12 @ X10 ) )
         => ! [X14: $i] :
              ( ( in @ X14 @ X10 )
             => ( subset @ X14 @ X10 ) ) )
     => ! [X16: $i] :
          ( ! [X18: $i] :
              ( ( in @ X18 @ X16 )
             => ( subset @ X18 @ X16 ) )
         => ! [X20: $i,X22: $i] :
              ( ( in @ X20 @ X16 )
             => ( ( in @ X22 @ X20 )
               => ( in @ X22 @ X16 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) )
     => ( ! [X10: $i] :
            ( ! [X12: $i] :
                ( ( in @ X12 @ X10 )
               => ( subset @ X12 @ X10 ) )
           => ! [X14: $i] :
                ( ( in @ X14 @ X10 )
               => ( subset @ X14 @ X10 ) ) )
       => ! [X16: $i] :
            ( ! [X18: $i] :
                ( ( in @ X18 @ X16 )
               => ( subset @ X18 @ X16 ) )
           => ! [X20: $i,X22: $i] :
                ( ( in @ X20 @ X16 )
               => ( ( in @ X22 @ X20 )
                 => ( in @ X22 @ X16 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( in @ sk__9 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__8 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ( ( subset @ X3 @ sk__7 )
      | ~ ( in @ X3 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ~ ( in @ X1 @ X0 )
      | ( in @ X1 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__7 )
      | ~ ( in @ X0 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl1,plain,
    in @ sk__9 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl21,plain,
    in @ sk__9 @ sk__7,
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl1]) ).

thf(zip_derived_cl29,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : SEU814^2 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxLEjT8Uxx true
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Oct  1 16:14:23 EDT 2025
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Running portfolio for 300 s
% 0.09/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30  % Number of cores: 8
% 0.09/0.30  % Python version: Python 3.6.8
% 0.09/0.30  % Running in HO mode
% 0.43/0.59  % Total configuration time : 828
% 0.43/0.59  % Estimated wc time : 1656
% 0.43/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.44/0.74  % Solved by lams/40_c_ic.sh.
% 0.44/0.74  % done 9 iterations in 0.018s
% 0.44/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.74  % SZS output start Refutation
% See solution above
% 0.44/0.74  
% 0.44/0.74  
% 0.44/0.74  % Terminating...
% 0.50/0.79  % Runner terminated.
% 0.50/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------