TSTP Solution File: SEU294+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3OFAydLmr3 true

% Computer : n019.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 19:11:53 EDT 2023

% Result   : Theorem 1.77s 0.97s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (   6   ~;   4   |;   2   &;  37   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__159_type,type,
    sk__159: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

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

thf(finite_type,type,
    finite: $i > $o ).

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

thf(sk__160_type,type,
    sk__160: $i ).

thf(cc2_finset_1,axiom,
    ! [A: $i] :
      ( ( finite @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( finite @ B ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ X1 ) )
      | ( finite @ X0 )
      | ~ ( finite @ X1 ) ),
    inference(cnf,[status(esa)],[cc2_finset_1]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(t13_finset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( subset @ A @ B )
        & ( finite @ B ) )
     => ( finite @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( subset @ A @ B )
          & ( finite @ B ) )
       => ( finite @ A ) ),
    inference('cnf.neg',[status(esa)],[t13_finset_1]) ).

thf(zip_derived_cl576,plain,
    subset @ sk__159 @ sk__160,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5048,plain,
    element @ sk__159 @ ( powerset @ sk__160 ),
    inference('sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl576]) ).

thf(zip_derived_cl5072,plain,
    ( ~ ( finite @ sk__160 )
    | ( finite @ sk__159 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl5048]) ).

thf(zip_derived_cl575,plain,
    finite @ sk__160,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ~ ( finite @ sk__159 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5074,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5072,zip_derived_cl575,zip_derived_cl577]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3OFAydLmr3 true
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 01:22:59 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.77/0.97  % Solved by fo/fo3_bce.sh.
% 1.77/0.97  % BCE start: 578
% 1.77/0.97  % BCE eliminated: 8
% 1.77/0.97  % PE start: 570
% 1.77/0.97  logic: eq
% 1.77/0.97  % PE eliminated: -69
% 1.77/0.97  % done 264 iterations in 0.248s
% 1.77/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.77/0.97  % SZS output start Refutation
% See solution above
% 1.77/0.97  
% 1.77/0.97  
% 1.77/0.97  % Terminating...
% 2.18/1.03  % Runner terminated.
% 2.18/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------