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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU158+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.4oVPGYyyGP true

% Computer : n010.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 04:53:38 PM UTC 2025

% Result   : Theorem 1.48s 0.95s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   65 (   9   ~;   5   |;   0   &;  48   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

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

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

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

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(t37_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ B )
      <=> ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t37_zfmisc_1]) ).

thf(zip_derived_cl119,plain,
    ( ~ ( in @ sk__17 @ sk__18 )
    | ~ ( subset @ ( singleton @ sk__17 ) @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl767,plain,
    ( ~ ( in @ sk__17 @ sk__18 )
    | ~ ( in @ sk__17 @ sk__18 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl119,zip_derived_cl62]) ).

thf(zip_derived_cl769,plain,
    ~ ( in @ sk__17 @ sk__18 ),
    inference(simplify,[status(thm)],[zip_derived_cl767]) ).

thf(zip_derived_cl118,plain,
    ( ( in @ sk__17 @ sk__18 )
    | ( subset @ ( singleton @ sk__17 ) @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769_001,plain,
    ~ ( in @ sk__17 @ sk__18 ),
    inference(simplify,[status(thm)],[zip_derived_cl767]) ).

thf(zip_derived_cl868,plain,
    subset @ ( singleton @ sk__17 ) @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl769]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl875,plain,
    in @ sk__17 @ sk__18,
    inference('sup-',[status(thm)],[zip_derived_cl868,zip_derived_cl61]) ).

thf(zip_derived_cl879,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl769,zip_derived_cl875]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU158+2 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4oVPGYyyGP true
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 16:09:23 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.64/0.63  % Total configuration time : 435
% 0.64/0.63  % Estimated wc time : 1092
% 0.64/0.63  % Estimated cpu time (7 cpus) : 156.0
% 1.03/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.26/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.86  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.48/0.95  % Solved by fo/fo3_bce.sh.
% 1.48/0.95  % BCE start: 120
% 1.48/0.95  % BCE eliminated: 0
% 1.48/0.95  % PE start: 120
% 1.48/0.95  logic: eq
% 1.48/0.95  % PE eliminated: 0
% 1.48/0.95  % done 145 iterations in 0.136s
% 1.48/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.48/0.95  % SZS output start Refutation
% See solution above
% 1.48/0.95  
% 1.48/0.95  
% 1.48/0.95  % Terminating...
% 2.09/1.07  % Runner terminated.
% 2.09/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------