TSTP Solution File: SET002+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET002+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pfd9YpNNt3 true

% Computer : n009.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 16:11:33 EDT 2023

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   13 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (   6   ~;   2   |;   0   &;  20   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

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

thf(subset_union,axiom,
    ! [B: $i,C: $i] :
      ( ( subset @ B @ C )
     => ( ( union @ B @ C )
        = C ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( union @ X1 @ X0 )
        = X0 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[subset_union]) ).

thf(prove_idempotency_of_union,conjecture,
    ! [B: $i] :
      ( ( union @ B @ B )
      = B ) ).

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

thf(zip_derived_cl16,plain,
    ( ( union @ sk__2 @ sk__2 )
   != sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83,plain,
    ( ( sk__2 != sk__2 )
    | ~ ( subset @ sk__2 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).

thf(reflexivity_of_subset,axiom,
    ! [B: $i] : ( subset @ B @ B ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_of_subset]) ).

thf(zip_derived_cl86,plain,
    sk__2 != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl11]) ).

thf(zip_derived_cl87,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET002+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pfd9YpNNt3 true
% 0.14/0.34  % Computer : n009.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 08:52:35 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
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % Solved by fo/fo3_bce.sh.
% 0.55/0.73  % BCE start: 17
% 0.55/0.73  % BCE eliminated: 0
% 0.55/0.73  % PE start: 17
% 0.55/0.73  logic: eq
% 0.55/0.73  % PE eliminated: 0
% 0.55/0.73  % done 5 iterations in 0.007s
% 0.55/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.73  % SZS output start Refutation
% See solution above
% 0.55/0.73  
% 0.55/0.73  
% 0.55/0.73  % Terminating...
% 0.62/0.83  % Runner terminated.
% 0.62/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------