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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU566^2 : 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.tTqnt1KxKI true

% Computer : n017.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 04:55:05 PM UTC 2025

% Result   : Theorem 0.60s 0.85s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  101 (   2 equ;  12 cnn)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  252 (  30   ~;   4   |;   0   &; 160   @)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   7 con; 0-2 aty)
%                                         (  18  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   52 (  18   ^;  34   !;   0   ?;  52   :)

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

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk3_type',type,
    '#sk3': $i ).

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

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

thf('#sk2_type',type,
    '#sk2': $i ).

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

thf('0',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

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

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

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,X14: $i] :
          ( ( in @ X14 @ X10 )
         => ( ~ ( in @ X14 @ X12 )
           => ~ ( subset @ X10 @ X12 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( subset @ Y0 @ Y1 )
                   => ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y0 )
                   => ( ( (~) @ ( in @ Y2 @ Y1 ) )
                     => ( (~) @ ( subset @ Y0 @ Y1 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y0 )
                 => ( ( (~) @ ( in @ Y2 @ Y1 ) )
                   => ( (~) @ ( subset @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ '#sk1' )
             => ( ( (~) @ ( in @ Y1 @ Y0 ) )
               => ( (~) @ ( subset @ '#sk1' @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ '#sk1' )
         => ( ( (~) @ ( in @ Y0 @ '#sk2' ) )
           => ( (~) @ ( subset @ '#sk1' @ '#sk2' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ~ ( ( in @ '#sk3' @ '#sk1' )
     => ( ( (~) @ ( in @ '#sk3' @ '#sk2' ) )
       => ( (~) @ ( subset @ '#sk1' @ '#sk2' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ~ ( ( (~) @ ( in @ '#sk3' @ '#sk2' ) )
     => ( (~) @ ( subset @ '#sk1' @ '#sk2' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ~ ( in @ '#sk3' @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl10,plain,
    in @ '#sk3' @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    subset @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( subset @ Y0 @ Y1 )
               => ( ( in @ Y2 @ Y0 )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( subset @ X2 @ Y0 )
             => ( ( in @ Y1 @ X2 )
               => ( in @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( subset @ X2 @ X4 )
         => ( ( in @ Y0 @ X2 )
           => ( in @ Y0 @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( subset @ X2 @ X4 )
     => ( ( in @ X6 @ X2 )
       => ( in @ X6 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( subset @ X2 @ X4 )
      | ( ( in @ X6 @ X2 )
       => ( in @ X6 @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( in @ X6 @ X4 )
      | ~ ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ '#sk2' )
      | ~ ( in @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    in @ '#sk3' @ '#sk2',
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU566^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tTqnt1KxKI true
% 0.12/0.34  % Computer : n017.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 16:11:53 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.56/0.69  % Total configuration time : 828
% 0.56/0.69  % Estimated wc time : 1656
% 0.56/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.83  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.85  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.85  % Solved by lams/35_full_unif4.sh.
% 0.60/0.85  % done 5 iterations in 0.012s
% 0.60/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.85  % SZS output start Refutation
% See solution above
% 0.60/0.85  
% 0.60/0.85  
% 0.60/0.85  % Terminating...
% 1.97/0.90  % Runner terminated.
% 1.97/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------