TSTP Solution File: SET045+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jEik8TSIE5 true

% Computer : n009.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 Aug 31 16:12:08 EDT 2023

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (   8   ~;   5   |;   1   &;  42   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  13   !;   3   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(pel41,conjecture,
    ~ ? [Z: $i] :
      ! [X: $i] : ( element @ X @ Z ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Z: $i] :
    ! [X: $i] : ( element @ X @ Z ),
    inference('cnf.neg',[status(esa)],[pel41]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] : ( element @ X0 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel41_1,axiom,
    ! [Z: $i] :
    ? [Y: $i] :
    ! [X: $i] :
      ( ( element @ X @ Y )
    <=> ( ( element @ X @ Z )
        & ~ ( element @ X @ X ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( sk_ @ X1 ) )
      | ( element @ X0 @ X0 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[pel41_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ ( sk_ @ sk__1 ) )
      | ( element @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X0 )
      | ~ ( element @ X0 @ ( sk_ @ X1 ) ) ),
    inference(cnf,[status(esa)],[pel41_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ~ ( element @ ( sk_ @ X0 ) @ ( sk_ @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    element @ ( sk_ @ sk__1 ) @ ( sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X0 )
      | ~ ( element @ X0 @ ( sk_ @ X1 ) ) ),
    inference(cnf,[status(esa)],[pel41_1]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jEik8TSIE5 true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 10:30:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.57/0.64  % Total configuration time : 435
% 0.57/0.64  % Estimated wc time : 1092
% 0.57/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % Solved by fo/fo6_bce.sh.
% 0.58/0.74  % BCE start: 4
% 0.58/0.74  % BCE eliminated: 0
% 0.58/0.74  % PE start: 4
% 0.58/0.74  logic: neq
% 0.58/0.74  % PE eliminated: 0
% 0.58/0.74  % done 6 iterations in 0.006s
% 0.58/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.74  % SZS output start Refutation
% See solution above
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  % Terminating...
% 1.49/0.85  % Runner terminated.
% 1.49/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------