TSTP Solution File: SET987+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R4BoTmRapF true

% Computer : n011.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 16:17:06 EDT 2023

% Result   : Theorem 0.13s 0.60s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   17 (   9 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   66 (   8   ~;   2   |;   0   &;  53   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

thf(t141_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ~ ( in @ A @ B )
     => ( ( set_difference @ ( set_union2 @ B @ ( singleton @ A ) ) @ ( singleton @ A ) )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ~ ( in @ A @ B )
       => ( ( set_difference @ ( set_union2 @ B @ ( singleton @ A ) ) @ ( singleton @ A ) )
          = B ) ),
    inference('cnf.neg',[status(esa)],[t141_zfmisc_1]) ).

thf(zip_derived_cl7,plain,
    ~ ( in @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t65_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ ( singleton @ B ) )
        = A )
    <=> ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ ( singleton @ X1 ) )
        = X0 )
      | ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[t65_zfmisc_1]) ).

thf(zip_derived_cl8,plain,
    ( ( set_difference @ ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) ) @ ( singleton @ sk__2 ) )
   != sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t40_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_difference @ ( set_union2 @ A @ B ) @ B )
      = ( set_difference @ A @ B ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference @ ( set_union2 @ X0 @ X1 ) @ X1 )
      = ( set_difference @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t40_xboole_1]) ).

thf(zip_derived_cl44,plain,
    ( ( set_difference @ sk__3 @ ( singleton @ sk__2 ) )
   != sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).

thf(zip_derived_cl49,plain,
    ( ( in @ sk__2 @ sk__3 )
    | ( sk__3 != sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl44]) ).

thf(zip_derived_cl50,plain,
    in @ sk__2 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R4BoTmRapF true
% 0.09/0.28  % Computer : n011.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Sat Aug 26 12:10:39 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.29  % Running in FO mode
% 0.13/0.51  % Total configuration time : 435
% 0.13/0.51  % Estimated wc time : 1092
% 0.13/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.57  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.57  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.60  % Solved by fo/fo6_bce.sh.
% 0.13/0.60  % BCE start: 12
% 0.13/0.60  % BCE eliminated: 1
% 0.13/0.60  % PE start: 11
% 0.13/0.60  logic: eq
% 0.13/0.60  % PE eliminated: 0
% 0.13/0.60  % done 14 iterations in 0.009s
% 0.13/0.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.13/0.60  % SZS output start Refutation
% See solution above
% 0.13/0.60  
% 0.13/0.60  
% 0.13/0.60  % Terminating...
% 1.21/0.69  % Runner terminated.
% 1.21/0.70  % Zipperpin 1.5 exiting
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