TSTP Solution File: SET910+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET910+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.iBBp579AFW 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 16:16:46 EDT 2023

% Result   : Theorem 0.17s 0.61s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   12 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (   4   ~;   1   |;   0   &;  34   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

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

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

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

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(t51_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( set_intersection2 @ A @ ( singleton @ B ) )
        = ( singleton @ B ) )
     => ( in @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( set_intersection2 @ A @ ( singleton @ B ) )
          = ( singleton @ B ) )
       => ( in @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[t51_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ( ( set_intersection2 @ sk__2 @ ( singleton @ sk__3 ) )
    = ( singleton @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l30_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_intersection2 @ A @ ( singleton @ B ) )
        = ( singleton @ B ) )
     => ( in @ B @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( ( set_intersection2 @ X1 @ ( singleton @ X0 ) )
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l30_zfmisc_1]) ).

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

thf(zip_derived_cl27,plain,
    ( ( set_intersection2 @ sk__2 @ ( singleton @ sk__3 ) )
   != ( singleton @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl29,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iBBp579AFW true
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sat Aug 26 14:56:29 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.17/0.52  % Total configuration time : 435
% 0.17/0.52  % Estimated wc time : 1092
% 0.17/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.61  % Solved by fo/fo3_bce.sh.
% 0.17/0.61  % BCE start: 8
% 0.17/0.61  % BCE eliminated: 0
% 0.17/0.61  % PE start: 8
% 0.17/0.61  logic: eq
% 0.17/0.61  % PE eliminated: 1
% 0.17/0.61  % done 10 iterations in 0.006s
% 0.17/0.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.61  % SZS output start Refutation
% See solution above
% 0.17/0.61  
% 0.17/0.61  
% 0.17/0.61  % Terminating...
% 1.04/0.73  % Runner terminated.
% 1.04/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------