TSTP Solution File: SEU158+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OLK89rx6YT true

% Computer : n010.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 19:10:51 EDT 2023

% Result   : Theorem 0.22s 0.73s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   64 (   8   ~;   6   |;   0   &;  47   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

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

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

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

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

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

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(t37_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ B )
      <=> ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t37_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( in @ sk__2 @ sk__3 )
    | ~ ( subset @ ( singleton @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( in @ sk__2 @ sk__3 )
    | ~ ( in @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ~ ( in @ sk__2 @ sk__3 ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl4,plain,
    ( ( in @ sk__2 @ sk__3 )
    | ( subset @ ( singleton @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ( ( in @ sk__2 @ sk__3 )
    | ( in @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    in @ sk__2 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU158+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OLK89rx6YT true
% 0.14/0.34  % Computer : n010.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 : Wed Aug 23 14:24:36 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % Solved by fo/fo6_bce.sh.
% 0.22/0.73  % BCE start: 8
% 0.22/0.73  % BCE eliminated: 2
% 0.22/0.73  % PE start: 6
% 0.22/0.73  logic: neq
% 0.22/0.73  % PE eliminated: 2
% 0.22/0.73  % done 1 iterations in 0.006s
% 0.22/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.73  % SZS output start Refutation
% See solution above
% 0.22/0.73  
% 0.22/0.73  
% 0.22/0.73  % Terminating...
% 0.22/0.78  % Runner terminated.
% 0.22/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------