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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU189+1 : 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.qAiT3JFD8g 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 04:53:46 PM UTC 2025

% Result   : Theorem 0.92s 1.14s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (  37 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   69 (  15   ~;  19   |;   1   &;  28   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :    5 (   0   ^;   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(t65_relat_1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( relation_dom @ A )
          = empty_set )
      <=> ( ( relation_rng @ A )
          = empty_set ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( ( relation_dom @ A )
            = empty_set )
        <=> ( ( relation_rng @ A )
            = empty_set ) ) ),
    inference('cnf.neg',[status(esa)],[t65_relat_1]) ).

thf(zip_derived_cl28,plain,
    ( ( ( relation_rng @ sk__5 )
     != empty_set )
    | ( ( relation_dom @ sk__5 )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ( ( ( relation_rng @ sk__5 )
      = empty_set )
    | ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t64_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( ( relation_dom @ A )
            = empty_set )
          | ( ( relation_rng @ A )
            = empty_set ) )
       => ( A = empty_set ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ X0 )
       != empty_set )
      | ( X0 = empty_set )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t64_relat_1]) ).

thf(zip_derived_cl161,plain,
    ( ( ( relation_dom @ sk__5 )
      = empty_set )
    | ( empty_set != empty_set )
    | ( sk__5 = empty_set )
    | ~ ( relation @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).

thf(zip_derived_cl27,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl164,plain,
    ( ( ( relation_dom @ sk__5 )
      = empty_set )
    | ( empty_set != empty_set )
    | ( sk__5 = empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl27]) ).

thf(zip_derived_cl165,plain,
    ( ( sk__5 = empty_set )
    | ( ( relation_dom @ sk__5 )
      = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( ( relation_dom @ X0 )
       != empty_set )
      | ( X0 = empty_set )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t64_relat_1]) ).

thf(zip_derived_cl201,plain,
    ( ( sk__5 = empty_set )
    | ( empty_set != empty_set )
    | ( sk__5 = empty_set )
    | ~ ( relation @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl32]) ).

thf(zip_derived_cl27_001,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ( ( sk__5 = empty_set )
    | ( empty_set != empty_set )
    | ( sk__5 = empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl27]) ).

thf(zip_derived_cl205,plain,
    sk__5 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl204]) ).

thf(t60_relat_1,axiom,
    ( ( ( relation_rng @ empty_set )
      = empty_set )
    & ( ( relation_dom @ empty_set )
      = empty_set ) ) ).

thf(zip_derived_cl30,plain,
    ( ( relation_rng @ empty_set )
    = empty_set ),
    inference(cnf,[status(esa)],[t60_relat_1]) ).

thf(zip_derived_cl205_002,plain,
    sk__5 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl204]) ).

thf(zip_derived_cl31,plain,
    ( ( relation_dom @ empty_set )
    = empty_set ),
    inference(cnf,[status(esa)],[t60_relat_1]) ).

thf(zip_derived_cl211,plain,
    ( ( empty_set != empty_set )
    | ( empty_set != empty_set ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl205,zip_derived_cl30,zip_derived_cl205,zip_derived_cl31]) ).

thf(zip_derived_cl212,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl211]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.27  % Problem  : SEU189+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.36  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qAiT3JFD8g true
% 0.10/0.61  % Computer : n016.cluster.edu
% 0.10/0.61  % Model    : x86_64 x86_64
% 0.10/0.61  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.61  % Memory   : 8042.1875MB
% 0.10/0.61  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.61  % CPULimit : 300
% 0.10/0.61  % WCLimit  : 300
% 0.10/0.61  % DateTime : Wed Oct  1 16:07:53 EDT 2025
% 0.13/0.63  % CPUTime  : 
% 0.13/0.63  % Running portfolio for 300 s
% 0.13/0.63  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.64  % Number of cores: 8
% 0.13/0.65  % Python version: Python 3.6.8
% 0.13/0.65  % Running in FO mode
% 0.14/0.91  % Total configuration time : 435
% 0.14/0.91  % Estimated wc time : 1092
% 0.14/0.91  % Estimated cpu time (7 cpus) : 156.0
% 0.14/1.05  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/1.08  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/1.08  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/1.09  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.87/1.09  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/1.14  % Solved by fo/fo6_bce.sh.
% 0.92/1.14  % BCE start: 34
% 0.92/1.14  % BCE eliminated: 0
% 0.92/1.14  % PE start: 34
% 0.92/1.14  logic: eq
% 0.92/1.14  % PE eliminated: 2
% 0.92/1.14  % done 41 iterations in 0.015s
% 0.92/1.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.92/1.14  % SZS output start Refutation
% See solution above
% 0.92/1.14  
% 0.92/1.14  
% 0.92/1.14  % Terminating...
% 0.97/1.22  % Runner terminated.
% 1.19/1.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------