TSTP Solution File: SET095+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET095+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MZsb0TyEUZ true

% Computer : n025.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 16:12:40 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   26 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   79 (   7   ~;   7   |;   0   &;  60   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 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   :   21 (   0   ^;  21   !;   0   ?;  21   :)

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

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

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

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

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

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(subset,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [X: $i] :
          ( ( member @ X @ A )
         => ( member @ X @ B ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(singleton,axiom,
    ! [X: $i,A: $i] :
      ( ( member @ X @ ( singleton @ A ) )
    <=> ( X = A ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[singleton]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ( ( sk_ @ X1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl18]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( member @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl1]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl180]) ).

thf(thI44,conjecture,
    ! [A: $i,X: $i] :
      ( ( member @ X @ A )
     => ( subset @ ( singleton @ X ) @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,X: $i] :
        ( ( member @ X @ A )
       => ( subset @ ( singleton @ X ) @ A ) ),
    inference('cnf.neg',[status(esa)],[thI44]) ).

thf(zip_derived_cl30,plain,
    ~ ( subset @ ( singleton @ sk__4 ) @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl186,plain,
    ~ ( member @ sk__4 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl30]) ).

thf(zip_derived_cl29,plain,
    member @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl187,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET095+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MZsb0TyEUZ true
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 14:44:38 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 31
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 31
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 3
% 0.21/0.74  % done 22 iterations in 0.014s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.43/0.83  % Runner terminated.
% 1.43/0.84  % Zipperpin 1.5 exiting
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