TSTP Solution File: SET704+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET704+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.GU0HMFoYPl true

% Computer : n007.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 16:15:40 EDT 2023

% Result   : Theorem 0.22s 0.78s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   26 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   92 (   8   ~;   5   |;   0   &;  73   @)
%                                         (   2 <=>;   4  =>;   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     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% 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(product_type,type,
    product: $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_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(thI42,conjecture,
    ! [A: $i,X: $i] :
      ( ( member @ X @ A )
     => ( subset @ ( product @ A ) @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,X: $i] :
        ( ( member @ X @ A )
       => ( subset @ ( product @ A ) @ X ) ),
    inference('cnf.neg',[status(esa)],[thI42]) ).

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

thf(zip_derived_cl157,plain,
    ~ ( member @ ( sk_ @ sk__4 @ ( product @ sk__3 ) ) @ sk__4 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl30]) ).

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

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

thf(zip_derived_cl30_001,plain,
    ~ ( subset @ ( product @ sk__3 ) @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl160,plain,
    member @ ( sk_ @ sk__4 @ ( product @ sk__3 ) ) @ ( product @ sk__3 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl30]) ).

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

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X2 @ X0 )
      | ~ ( member @ X2 @ ( product @ X1 ) ) ),
    inference(cnf,[status(esa)],[product]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__4 @ ( product @ sk__3 ) ) @ X0 )
      | ~ ( member @ X0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl26]) ).

thf(zip_derived_cl170,plain,
    member @ ( sk_ @ sk__4 @ ( product @ sk__3 ) ) @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl169]) ).

thf(zip_derived_cl175,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET704+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GU0HMFoYPl true
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 12:24:41 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % Solved by fo/fo3_bce.sh.
% 0.22/0.78  % BCE start: 31
% 0.22/0.78  % BCE eliminated: 0
% 0.22/0.78  % PE start: 31
% 0.22/0.78  logic: eq
% 0.22/0.78  % PE eliminated: 1
% 0.22/0.78  % done 17 iterations in 0.014s
% 0.22/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78  % SZS output start Refutation
% See solution above
% 0.22/0.78  
% 0.22/0.78  
% 0.22/0.78  % Terminating...
% 1.56/0.86  % Runner terminated.
% 1.56/0.87  % Zipperpin 1.5 exiting
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