TSTP Solution File: SEU155+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xr32sOAQVV true

% Computer : n027.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 19:10:49 EDT 2023

% Result   : Theorem 0.20s 0.70s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   31 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  101 (  12   ~;   8   |;   1   &;  74   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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   :   22 (   0   ^;  21   !;   1   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

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

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

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

thf(in_type,type,
    in: $i > $i > $o ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(l50_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( subset @ A @ ( union @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( in @ A @ B )
       => ( subset @ A @ ( union @ B ) ) ),
    inference('cnf.neg',[status(esa)],[l50_zfmisc_1]) ).

thf(zip_derived_cl12,plain,
    ~ ( subset @ sk__4 @ ( union @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ~ ( in @ ( sk_ @ ( union @ sk__5 ) @ sk__4 ) @ ( union @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl12_001,plain,
    ~ ( subset @ sk__4 @ ( union @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    in @ ( sk_ @ ( union @ sk__5 ) @ sk__4 ) @ sk__4,
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl12]) ).

thf(zip_derived_cl11,plain,
    in @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d4_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( union @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ? [D: $i] :
              ( ( in @ D @ A )
              & ( in @ C @ D ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X2 @ X0 )
      | ( in @ X2 @ X3 )
      | ( X3
       != ( union @ X1 ) ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( union @ sk__5 ) )
      | ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ( in @ ( sk_ @ ( union @ sk__5 ) @ sk__4 ) @ X0 )
      | ( X0
       != ( union @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl77]) ).

thf(zip_derived_cl88,plain,
    ( ( union @ sk__5 )
   != ( union @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl82]) ).

thf(zip_derived_cl89,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xr32sOAQVV true
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Thu Aug 24 01:32:02 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Running portfolio for 300 s
% 0.14/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.70  % Solved by fo/fo3_bce.sh.
% 0.20/0.70  % BCE start: 14
% 0.20/0.70  % BCE eliminated: 0
% 0.20/0.70  % PE start: 14
% 0.20/0.70  logic: eq
% 0.20/0.70  % PE eliminated: 0
% 0.20/0.70  % done 11 iterations in 0.009s
% 0.20/0.70  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.70  % SZS output start Refutation
% See solution above
% 0.20/0.70  
% 0.20/0.70  
% 0.20/0.70  % Terminating...
% 0.20/0.73  % Runner terminated.
% 0.73/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------