TSTP Solution File: SET767+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zmd9zAD7b2 true

% Computer : n026.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 16:15:54 EDT 2023

% Result   : Theorem 0.20s 0.81s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   22 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   98 (   6   ~;   3   |;   1   &;  83   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

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

thf(sk__22_type,type,
    sk__22: $i ).

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

thf(equivalence_class_type,type,
    equivalence_class: $i > $i > $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(equivalence_type,type,
    equivalence: $i > $i > $o ).

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(thIII03,conjecture,
    ! [E: $i,R: $i,A: $i] :
      ( ( equivalence @ R @ E )
     => ( subset @ ( equivalence_class @ A @ E @ R ) @ E ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [E: $i,R: $i,A: $i] :
        ( ( equivalence @ R @ E )
       => ( subset @ ( equivalence_class @ A @ E @ R ) @ E ) ),
    inference('cnf.neg',[status(esa)],[thIII03]) ).

thf(zip_derived_cl102,plain,
    ~ ( subset @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ~ ( member @ ( sk_ @ sk__20 @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) ) @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl102]) ).

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_cl102_001,plain,
    ~ ( subset @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    member @ ( sk_ @ sk__20 @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) ) @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl102]) ).

thf(equivalence_class,axiom,
    ! [R: $i,E: $i,A: $i,X: $i] :
      ( ( member @ X @ ( equivalence_class @ A @ E @ R ) )
    <=> ( ( member @ X @ E )
        & ( apply @ R @ A @ X ) ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( equivalence_class @ X2 @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[equivalence_class]) ).

thf(zip_derived_cl188,plain,
    member @ ( sk_ @ sk__20 @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) ) @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl84]) ).

thf(zip_derived_cl190,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET767+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zmd9zAD7b2 true
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 08:52:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.81  % Solved by fo/fo7.sh.
% 0.20/0.81  % done 93 iterations in 0.035s
% 0.20/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.81  % SZS output start Refutation
% See solution above
% 0.20/0.81  
% 0.20/0.81  
% 0.20/0.81  % Terminating...
% 1.39/0.85  % Runner terminated.
% 1.39/0.86  % Zipperpin 1.5 exiting
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