TSTP Solution File: SET599+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET599+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.5LWXiEJZNb true

% Computer : n023.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 16:14:52 EDT 2023

% Result   : Theorem 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :    9 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   50 (   2   ~;   0   |;   0   &;  48   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

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

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

thf(difference_type,type,
    difference: $i > $i > $i ).

thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

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

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

thf(prove_th58,conjecture,
    ! [B: $i,C: $i] : ( subset @ ( difference @ B @ C ) @ ( symmetric_difference @ B @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i] : ( subset @ ( difference @ B @ C ) @ ( symmetric_difference @ B @ C ) ),
    inference('cnf.neg',[status(esa)],[prove_th58]) ).

thf(zip_derived_cl15,plain,
    ~ ( subset @ ( difference @ sk__2 @ sk__3 ) @ ( symmetric_difference @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(symmetric_difference_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( symmetric_difference @ B @ C )
      = ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X0 @ X1 )
      = ( union @ ( difference @ X0 @ X1 ) @ ( difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[symmetric_difference_defn]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[subset_of_union]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( difference @ X1 @ X0 ) @ ( symmetric_difference @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl86,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5LWXiEJZNb true
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 14:18:11 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % Solved by fo/fo6_bce.sh.
% 0.54/0.72  % BCE start: 16
% 0.54/0.72  % BCE eliminated: 0
% 0.54/0.72  % PE start: 16
% 0.54/0.72  logic: eq
% 0.54/0.72  % PE eliminated: 0
% 0.54/0.72  % done 10 iterations in 0.010s
% 0.54/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.72  % SZS output start Refutation
% See solution above
% 0.54/0.72  
% 0.54/0.72  
% 0.54/0.72  % Terminating...
% 0.54/0.75  % Runner terminated.
% 1.43/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------