TSTP Solution File: SET047+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9FVcIzfFg3 true

% Computer : n007.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 16:12:09 EDT 2023

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   76 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  264 (  29   ~;  37   |;   0   &; 194   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(element_type,type,
    element: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(set_equal_type,type,
    set_equal: $i > $i > $o ).

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

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

thf(pel43,conjecture,
    ! [X: $i,Y: $i] :
      ( ( set_equal @ X @ Y )
    <=> ( set_equal @ Y @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( set_equal @ X @ Y )
      <=> ( set_equal @ Y @ X ) ),
    inference('cnf.neg',[status(esa)],[pel43]) ).

thf(zip_derived_cl4,plain,
    ( ( set_equal @ sk__2 @ sk__1 )
    | ( set_equal @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel43_1,axiom,
    ! [X: $i,Y: $i] :
      ( ( set_equal @ X @ Y )
    <=> ! [Z: $i] :
          ( ( element @ Z @ X )
        <=> ( element @ Z @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( element @ X0 @ X2 )
      | ~ ( set_equal @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( set_equal @ sk__1 @ sk__2 )
      | ~ ( element @ X0 @ sk__1 )
      | ( element @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( element @ X0 @ X2 )
      | ~ ( set_equal @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ sk__2 )
      | ~ ( element @ X0 @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_equal @ X0 @ X1 )
      | ( element @ ( sk_ @ X1 @ X0 ) @ X1 )
      | ( element @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl4_001,plain,
    ( ( set_equal @ sk__2 @ sk__1 )
    | ( set_equal @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( element @ X0 @ X2 )
      | ~ ( set_equal @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( set_equal @ sk__1 @ sk__2 )
      | ~ ( element @ X0 @ sk__2 )
      | ( element @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( element @ X0 @ X2 )
      | ~ ( set_equal @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ sk__1 )
      | ~ ( element @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( element @ ( sk_ @ X0 @ sk__2 ) @ X0 )
      | ( set_equal @ sk__2 @ X0 )
      | ( element @ ( sk_ @ X0 @ sk__2 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).

thf(zip_derived_cl54,plain,
    ( ( element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__1 )
    | ( set_equal @ sk__2 @ sk__1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( set_equal @ sk__2 @ sk__1 )
    | ~ ( set_equal @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_equal @ X0 @ X1 )
      | ( element @ ( sk_ @ X1 @ X0 ) @ X1 )
      | ( element @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl10_005,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ sk__1 )
      | ~ ( element @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( element @ ( sk_ @ sk__2 @ X0 ) @ X0 )
      | ( set_equal @ X0 @ sk__2 )
      | ( element @ ( sk_ @ sk__2 @ X0 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).

thf(zip_derived_cl37,plain,
    ( ( set_equal @ sk__1 @ sk__2 )
    | ( element @ ( sk_ @ sk__2 @ sk__1 ) @ sk__1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl11_006,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ sk__2 )
      | ~ ( element @ X0 @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_equal @ X0 @ X1 )
      | ~ ( element @ ( sk_ @ X1 @ X0 ) @ X1 )
      | ~ ( element @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( element @ ( sk_ @ sk__2 @ X0 ) @ sk__1 )
      | ( set_equal @ X0 @ sk__2 )
      | ~ ( element @ ( sk_ @ sk__2 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( element @ ( sk_ @ sk__2 @ sk__1 ) @ sk__1 )
    | ( set_equal @ sk__1 @ sk__2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl60,plain,
    set_equal @ sk__1 @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl31]) ).

thf(zip_derived_cl61,plain,
    ~ ( set_equal @ sk__2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl60]) ).

thf(zip_derived_cl68,plain,
    element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl61]) ).

thf(zip_derived_cl2_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_equal @ X0 @ X1 )
      | ~ ( element @ ( sk_ @ X1 @ X0 ) @ X1 )
      | ~ ( element @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[pel43_1]) ).

thf(zip_derived_cl69,plain,
    ( ( set_equal @ sk__2 @ sk__1 )
    | ~ ( element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl2]) ).

thf(zip_derived_cl61_008,plain,
    ~ ( set_equal @ sk__2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl60]) ).

thf(zip_derived_cl70,plain,
    ~ ( element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl61]) ).

thf(zip_derived_cl71,plain,
    ~ ( element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl70]) ).

thf(zip_derived_cl68_009,plain,
    element @ ( sk_ @ sk__1 @ sk__2 ) @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl61]) ).

thf(zip_derived_cl73,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9FVcIzfFg3 true
% 0.14/0.34  % Computer : n007.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 : Sat Aug 26 13:08:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.47/0.64  % Total configuration time : 435
% 0.47/0.64  % Estimated wc time : 1092
% 0.47/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73  % Solved by fo/fo6_bce.sh.
% 0.56/0.73  % BCE start: 6
% 0.56/0.73  % BCE eliminated: 0
% 0.56/0.73  % PE start: 6
% 0.56/0.73  logic: neq
% 0.56/0.73  % PE eliminated: 0
% 0.56/0.73  % done 27 iterations in 0.014s
% 0.56/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.73  % SZS output start Refutation
% See solution above
% 0.56/0.73  
% 0.56/0.73  
% 0.56/0.73  % Terminating...
% 0.56/0.75  % Runner terminated.
% 0.56/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------