TSTP Solution File: SET633+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET633+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.GUQES7mwAY true

% Computer : n025.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 16:15:12 EDT 2023

% Result   : Theorem 0.18s 0.70s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   23 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  107 (   8   ~;   5   |;   3   &;  88   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
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__2_type,type,
    sk__2: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

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

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

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(union_subset,axiom,
    ! [B: $i,C: $i,D: $i] :
      ( ( ( subset @ B @ C )
        & ( subset @ D @ C ) )
     => ( subset @ ( union @ B @ D ) @ C ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X2 @ X1 )
      | ( subset @ ( union @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[union_subset]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ ( difference @ X1 @ X0 ) @ X2 )
      | ~ ( subset @ ( difference @ X0 @ X1 ) @ X2 )
      | ( subset @ ( symmetric_difference @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(prove_th115,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( ( subset @ ( difference @ B @ C ) @ D )
        & ( subset @ ( difference @ C @ B ) @ D ) )
     => ( subset @ ( symmetric_difference @ B @ C ) @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( ( subset @ ( difference @ B @ C ) @ D )
          & ( subset @ ( difference @ C @ B ) @ D ) )
       => ( subset @ ( symmetric_difference @ B @ C ) @ D ) ),
    inference('cnf.neg',[status(esa)],[prove_th115]) ).

thf(zip_derived_cl17,plain,
    ~ ( subset @ ( symmetric_difference @ sk__2 @ sk__3 ) @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ( ~ ( subset @ ( difference @ sk__3 @ sk__2 ) @ sk__4 )
    | ~ ( subset @ ( difference @ sk__2 @ sk__3 ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl17]) ).

thf(zip_derived_cl16,plain,
    subset @ ( difference @ sk__3 @ sk__2 ) @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    subset @ ( difference @ sk__2 @ sk__3 ) @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl16,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GUQES7mwAY true
% 0.12/0.34  % Computer : n025.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 09:37:08 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.18/0.57  % Total configuration time : 435
% 0.18/0.57  % Estimated wc time : 1092
% 0.18/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70  % Solved by fo/fo6_bce.sh.
% 0.18/0.70  % BCE start: 18
% 0.18/0.70  % BCE eliminated: 0
% 0.18/0.70  % PE start: 18
% 0.18/0.70  logic: eq
% 0.18/0.70  % PE eliminated: 0
% 0.18/0.70  % done 10 iterations in 0.010s
% 0.18/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.18/0.70  % SZS output start Refutation
% See solution above
% 0.18/0.70  
% 0.18/0.70  
% 0.18/0.70  % Terminating...
% 1.34/0.80  % Runner terminated.
% 1.34/0.81  % Zipperpin 1.5 exiting
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