TSTP Solution File: SET584+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET584+3 : 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.IYS4TRn07v true

% Computer : n022.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 16:14:43 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  195 (  15   ~;  11   |;   0   &; 164   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(union_type,type,
    union: $i > $i > $i ).

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

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

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(subset_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( subset @ B @ C )
    <=> ! [D: $i] :
          ( ( member @ D @ B )
         => ( member @ D @ C ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset_defn]) ).

thf(prove_th33,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( subset @ B @ C )
     => ( subset @ ( union @ B @ D ) @ ( union @ C @ D ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( subset @ B @ C )
       => ( subset @ ( union @ B @ D ) @ ( union @ C @ D ) ) ),
    inference('cnf.neg',[status(esa)],[prove_th33]) ).

thf(zip_derived_cl12,plain,
    ~ ( subset @ ( union @ sk__2 @ sk__4 ) @ ( union @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65,plain,
    ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ ( union @ sk__3 @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(union_defn,axiom,
    ! [B: $i,C: $i,D: $i] :
      ( ( member @ D @ ( union @ B @ C ) )
    <=> ( ( member @ D @ B )
        | ( member @ D @ C ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( union @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[union_defn]) ).

thf(zip_derived_cl97,plain,
    ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__4 ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[union_defn]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset_defn]) ).

thf(zip_derived_cl12_001,plain,
    ~ ( subset @ ( union @ sk__2 @ sk__4 ) @ ( union @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ ( union @ sk__2 @ sk__4 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).

thf(zip_derived_cl122,plain,
    ( ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__2 )
    | ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl67]) ).

thf(zip_derived_cl65_002,plain,
    ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ ( union @ sk__3 @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( union @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[union_defn]) ).

thf(zip_derived_cl96,plain,
    ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl1]) ).

thf(zip_derived_cl13,plain,
    subset @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset_defn]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ sk__3 )
      | ~ ( member @ X0 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl100,plain,
    ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__2 ),
    inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl72]) ).

thf(zip_derived_cl123,plain,
    member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ ( union @ sk__2 @ sk__4 ) ) @ sk__4,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl100]) ).

thf(zip_derived_cl128,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET584+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IYS4TRn07v true
% 0.17/0.35  % Computer : n022.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sat Aug 26 10:21:25 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % Solved by fo/fo3_bce.sh.
% 0.22/0.77  % BCE start: 14
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 14
% 0.22/0.77  logic: eq
% 0.22/0.77  % PE eliminated: -1
% 0.22/0.77  % done 30 iterations in 0.019s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77  % Terminating...
% 1.47/0.86  % Runner terminated.
% 1.47/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------