TSTP Solution File: SET899+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jwJLJ5kQHP true

% Computer : n031.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 16:16:43 EDT 2023

% Result   : Theorem 0.74s 0.73s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (   5   ~;   6   |;   0   &;  51   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

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

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(t40_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( ( in @ C @ A )
        | ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( subset @ A @ B )
       => ( ( in @ C @ A )
          | ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t40_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ~ ( in @ sk__4 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l3_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( ( in @ C @ A )
        | ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( in @ X2 @ X0 )
      | ( subset @ X0 @ ( set_difference @ X1 @ ( singleton @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l3_zfmisc_1]) ).

thf(zip_derived_cl4,plain,
    ~ ( subset @ sk__2 @ ( set_difference @ sk__3 @ ( singleton @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( in @ sk__4 @ sk__2 )
    | ~ ( subset @ sk__2 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    subset @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    in @ sk__4 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jwJLJ5kQHP true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 10:09:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.74/0.73  % Solved by fo/fo6_bce.sh.
% 0.74/0.73  % BCE start: 8
% 0.74/0.73  % BCE eliminated: 2
% 0.74/0.73  % PE start: 6
% 0.74/0.73  logic: neq
% 0.74/0.73  % PE eliminated: 0
% 0.74/0.73  % done 7 iterations in 0.006s
% 0.74/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.74/0.73  % SZS output start Refutation
% See solution above
% 0.74/0.73  
% 0.74/0.73  
% 0.74/0.73  % Terminating...
% 1.36/0.83  % Runner terminated.
% 1.36/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------