TSTP Solution File: SEU137+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.myPs78oTok true

% Computer : n018.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 19:10:40 EDT 2023

% Result   : Theorem 1.37s 0.81s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   15 (   9 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   50 (   4   ~;   1   |;   0   &;  42   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(t45_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( B
        = ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ B )
       => ( B
          = ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t45_xboole_1]) ).

thf(zip_derived_cl68,plain,
    subset @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t12_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_union2 @ A @ B )
        = B ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ X1 @ X0 )
        = X0 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[t12_xboole_1]) ).

thf(zip_derived_cl231,plain,
    ( ( set_union2 @ sk__9 @ sk__10 )
    = sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl46]) ).

thf(zip_derived_cl69,plain,
    ( sk__10
   != ( set_union2 @ sk__9 @ ( set_difference @ sk__10 @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t39_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ ( set_difference @ B @ A ) )
      = ( set_union2 @ A @ B ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X0 @ ( set_difference @ X1 @ X0 ) )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t39_xboole_1]) ).

thf(zip_derived_cl78,plain,
    ( sk__10
   != ( set_union2 @ sk__9 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl61]) ).

thf(zip_derived_cl232,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl231,zip_derived_cl78]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.myPs78oTok true
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 23:21:57 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
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.81  % Solved by fo/fo13.sh.
% 1.37/0.81  % done 52 iterations in 0.044s
% 1.37/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.81  % SZS output start Refutation
% See solution above
% 1.37/0.81  
% 1.37/0.81  
% 1.37/0.81  % Terminating...
% 1.37/0.86  % Runner terminated.
% 1.37/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------