TSTP Solution File: SET093+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UKgO7VSOUo 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 16:12:38 EDT 2023

% Result   : Theorem 1.04s 0.77s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :   13 (   5 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   35 (   2   ~;   0   |;   0   &;  31   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

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

thf(member_of_type,type,
    member_of: $i > $i ).

thf(universal_class_type,type,
    universal_class: $i ).

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(corollary_2_to_singletons_are_sets,conjecture,
    ! [X: $i] :
      ( ( ( singleton @ ( member_of @ X ) )
        = X )
     => ( member @ X @ universal_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( ( singleton @ ( member_of @ X ) )
          = X )
       => ( member @ X @ universal_class ) ),
    inference('cnf.neg',[status(esa)],[corollary_2_to_singletons_are_sets]) ).

thf(zip_derived_cl94,plain,
    ~ ( member @ sk__7 @ universal_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    ( ( singleton @ ( member_of @ sk__7 ) )
    = sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(singleton_set_defn,axiom,
    ! [X: $i] :
      ( ( singleton @ X )
      = ( unordered_pair @ X @ X ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(unordered_pair,axiom,
    ! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] : ( member @ ( unordered_pair @ X0 @ X1 ) @ universal_class ),
    inference(cnf,[status(esa)],[unordered_pair]) ).

thf(zip_derived_cl503,plain,
    ! [X0: $i] : ( member @ ( singleton @ X0 ) @ universal_class ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).

thf(zip_derived_cl510,plain,
    member @ sk__7 @ universal_class,
    inference('s_sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl503]) ).

thf(zip_derived_cl511,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl510]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UKgO7VSOUo true
% 0.14/0.35  % Computer : n011.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 10:06:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 1.04/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.77  % Solved by fo/fo6_bce.sh.
% 1.04/0.77  % BCE start: 95
% 1.04/0.77  % BCE eliminated: 0
% 1.04/0.77  % PE start: 95
% 1.04/0.77  logic: eq
% 1.04/0.77  % PE eliminated: 5
% 1.04/0.77  % done 47 iterations in 0.035s
% 1.04/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.04/0.77  % SZS output start Refutation
% See solution above
% 1.04/0.77  
% 1.04/0.77  
% 1.04/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.77  % Terminating...
% 1.79/0.88  % Runner terminated.
% 1.79/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------