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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU153+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PpzWIx90TH true

% Computer : n027.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 04:53:37 PM UTC 2025

% Result   : Theorem 0.63s 0.85s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   5 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   83 (  16   ~;   6   |;   7   &;  52   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(singleton_type,type,
    singleton: $i > $i ).

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

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

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

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(l25_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ~ ( ( disjoint @ ( singleton @ A ) @ B )
        & ( in @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ~ ( ( disjoint @ ( singleton @ A ) @ B )
          & ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[l25_zfmisc_1]) ).

thf(zip_derived_cl66,plain,
    disjoint @ ( singleton @ sk__8 ) @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl502,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl502]) ).

thf(t3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( ? [C: $i] :
              ( ( in @ C @ B )
              & ( in @ C @ A ) )
          & ( disjoint @ A @ B ) )
      & ~ ( ~ ( disjoint @ A @ B )
          & ! [C: $i] :
              ~ ( ( in @ C @ A )
                & ( in @ C @ B ) ) ) ) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ X2 )
      | ~ ( disjoint @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t3_xboole_0]) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( disjoint @ ( singleton @ X0 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl100]) ).

thf(zip_derived_cl517,plain,
    ~ ( in @ sk__8 @ sk__9 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl508]) ).

thf(zip_derived_cl65,plain,
    in @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU153+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PpzWIx90TH true
% 0.12/0.34  % Computer : n027.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 16:08:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.85  % Solved by fo/fo6_bce.sh.
% 0.63/0.85  % BCE start: 121
% 0.63/0.85  % BCE eliminated: 2
% 0.63/0.85  % PE start: 119
% 0.63/0.85  logic: eq
% 0.63/0.85  % PE eliminated: 0
% 0.63/0.85  % done 54 iterations in 0.050s
% 0.63/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.85  % SZS output start Refutation
% See solution above
% 0.63/0.85  
% 0.63/0.85  
% 0.63/0.85  % Terminating...
% 0.63/0.89  % Runner terminated.
% 0.63/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------