TSTP Solution File: SET786+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XKRGBOZ51U true

% Computer : n032.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 16:16:00 EDT 2023

% Result   : Theorem 0.15s 0.61s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  109 (  20   ~;  12   |;   2   &;  73   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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   :   15 (   0   ^;  11   !;   4   ?;  15   :)

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

thf(sk__type,type,
    sk_: $i ).

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

thf(thm25,conjecture,
    ~ ? [Y: $i] :
      ! [X: $i] :
        ( ( element @ X @ Y )
      <=> ~ ? [Z: $i] :
              ( ( element @ Z @ X )
              & ( element @ X @ Z ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Y: $i] :
    ! [X: $i] :
      ( ( element @ X @ Y )
    <=> ~ ? [Z: $i] :
            ( ( element @ Z @ X )
            & ( element @ X @ Z ) ) ),
    inference('cnf.neg',[status(esa)],[thm25]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( element @ X1 @ X0 )
      | ~ ( element @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( element @ sk_ @ sk_ )
    | ~ ( element @ sk_ @ sk_ ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( element @ sk_ @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ( ( element @ X2 @ sk_ )
      | ( element @ X2 @ ( sk__1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] :
      ( ( element @ X2 @ sk_ )
      | ( element @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $i] :
      ( ( element @ X2 @ sk_ )
      | ( element @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( element @ X1 @ X0 )
      | ~ ( element @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( element @ sk_ @ sk_ )
      | ~ ( element @ ( sk__1 @ sk_ ) @ X0 )
      | ~ ( element @ X0 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl5_003,plain,
    ~ ( element @ sk_ @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( element @ ( sk__1 @ sk_ ) @ X0 )
      | ~ ( element @ X0 @ ( sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( ( element @ sk_ @ sk_ )
    | ~ ( element @ sk_ @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl5_004,plain,
    ~ ( element @ sk_ @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ~ ( element @ sk_ @ ( sk__1 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    element @ sk_ @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET786+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XKRGBOZ51U true
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Sat Aug 26 10:50:59 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.10/0.29  % Running portfolio for 300 s
% 0.10/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29  % Number of cores: 8
% 0.10/0.30  % Python version: Python 3.6.8
% 0.10/0.30  % Running in FO mode
% 0.15/0.51  % Total configuration time : 435
% 0.15/0.51  % Estimated wc time : 1092
% 0.15/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.61  % Solved by fo/fo6_bce.sh.
% 0.15/0.61  % BCE start: 3
% 0.15/0.61  % BCE eliminated: 0
% 0.15/0.61  % PE start: 3
% 0.15/0.61  logic: neq
% 0.15/0.61  % PE eliminated: 0
% 0.15/0.61  % done 10 iterations in 0.006s
% 0.15/0.61  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.61  % SZS output start Refutation
% See solution above
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  % Terminating...
% 0.15/0.73  % Runner terminated.
% 0.15/0.74  % Zipperpin 1.5 exiting
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