TSTP Solution File: SET631+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pip3aStVl2 true

% Computer : n014.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 16:15:11 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  123 (  14   ~;  11   |;   2   &;  92   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  33   !;   1   ?;  34   :)

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

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

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

thf(member_type,type,
    member: $i > $i > $o ).

thf(intersect_type,type,
    intersect: $i > $i > $o ).

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

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

thf(prove_th113,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( intersect @ B @ ( difference @ C @ D ) )
     => ( intersect @ B @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( intersect @ B @ ( difference @ C @ D ) )
       => ( intersect @ B @ C ) ),
    inference('cnf.neg',[status(esa)],[prove_th113]) ).

thf(zip_derived_cl8,plain,
    ~ ( intersect @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    intersect @ sk__1 @ ( difference @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(intersect_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( intersect @ B @ C )
    <=> ? [D: $i] :
          ( ( member @ D @ C )
          & ( member @ D @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ~ ( intersect @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(difference_defn,axiom,
    ! [B: $i,C: $i,D: $i] :
      ( ( member @ D @ ( difference @ B @ C ) )
    <=> ( ( member @ D @ B )
        & ~ ( member @ D @ C ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[difference_defn]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( intersect @ X2 @ ( difference @ X1 @ X0 ) )
      | ( member @ ( sk_ @ ( difference @ X1 @ X0 ) @ X2 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
      | ~ ( intersect @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( intersect @ X0 @ X1 )
      | ~ ( member @ X2 @ X0 )
      | ~ ( member @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( intersect @ X0 @ X1 )
      | ( intersect @ X0 @ X2 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( intersect @ X1 @ ( difference @ X0 @ X2 ) )
      | ~ ( intersect @ X1 @ ( difference @ X0 @ X2 ) )
      | ( intersect @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl20]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( intersect @ X1 @ X0 )
      | ~ ( intersect @ X1 @ ( difference @ X0 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl71,plain,
    intersect @ sk__1 @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl64]) ).

thf(zip_derived_cl76,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pip3aStVl2 true
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 09:42:32 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77  % Solved by fo/fo6_bce.sh.
% 0.56/0.77  % BCE start: 9
% 0.56/0.77  % BCE eliminated: 0
% 0.56/0.77  % PE start: 9
% 0.56/0.77  logic: neq
% 0.56/0.77  % PE eliminated: 0
% 0.56/0.77  % done 36 iterations in 0.022s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.60/0.87  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
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