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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU568^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R78a0CAXxk true

% Computer : n021.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 04:55:06 PM UTC 2025

% Result   : Theorem 0.37s 1.04s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   43 (  12 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   96 (  24   ~;   0   |;   0   &;  48   @)
%                                         (   0 <=>;  24  =>;   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     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(notsubsetI_type,type,
    notsubsetI: $o ).

thf(notequalI1_type,type,
    notequalI1: $o ).

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

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

thf(notequalI1,axiom,
    ( notequalI1
    = ( ! [A: $i,B: $i] :
          ( ~ ( subset @ A @ B )
         => ( A != B ) ) ) ) ).

thf('0',plain,
    ( notequalI1
    = ( ! [X4: $i,X6: $i] :
          ( ~ ( subset @ X4 @ X6 )
         => ( X4 != X6 ) ) ) ),
    define([status(thm)]) ).

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

thf('1',plain,
    ( notsubsetI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ~ ( in @ X8 @ X6 )
           => ~ ( subset @ X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(notequalI2,conjecture,
    ( notsubsetI
   => ( notequalI1
     => ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ~ ( in @ Xx @ B )
           => ( A != B ) ) ) ) ) ).

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

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

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__7 @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    sk__5 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    in @ sk__7 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl1,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.21  % Problem  : SEU568^2 : TPTP v9.2.0. Released v3.7.0.
% 0.04/0.22  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R78a0CAXxk true
% 0.09/0.43  % Computer : n021.cluster.edu
% 0.09/0.43  % Model    : x86_64 x86_64
% 0.09/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.43  % Memory   : 8042.1875MB
% 0.09/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.43  % CPULimit : 300
% 0.09/0.43  % WCLimit  : 300
% 0.09/0.43  % DateTime : Wed Oct  1 16:12:38 EDT 2025
% 0.09/0.43  % CPUTime  : 
% 0.09/0.43  % Running portfolio for 300 s
% 0.09/0.43  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43  % Number of cores: 8
% 0.09/0.44  % Python version: Python 3.6.8
% 0.09/0.44  % Running in HO mode
% 0.33/0.70  % Total configuration time : 828
% 0.33/0.70  % Estimated wc time : 1656
% 0.33/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.35/0.93  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.35/0.93  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.37/0.94  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.37/0.96  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.37/0.96  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.37/0.96  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.37/0.97  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.37/0.99  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.37/1.04  % Solved by lams/40_c.s.sh.
% 0.37/1.04  % done 2 iterations in 0.008s
% 0.37/1.04  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.37/1.04  % SZS output start Refutation
% See solution above
% 0.37/1.04  
% 0.37/1.04  
% 0.37/1.04  % Terminating...
% 1.56/1.20  % Runner terminated.
% 1.59/1.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------