TSTP Solution File: SET576+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET576+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.E58PLmhehp true

% Computer : n018.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 16:14:39 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   84 (  13   ~;   6   |;   1   &;  58   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  18   !;   1   ?;  19   :)

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

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

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

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

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

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

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
      | ~ ( intersect @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ~ ( intersect @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[intersect_defn]) ).

thf(prove_th17,conjecture,
    ! [B: $i,C: $i] :
      ( ! [D: $i] :
          ( ( member @ D @ B )
         => ~ ( member @ D @ C ) )
     => ( disjoint @ B @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i] :
        ( ! [D: $i] :
            ( ( member @ D @ B )
           => ~ ( member @ D @ C ) )
       => ( disjoint @ B @ C ) ),
    inference('cnf.neg',[status(esa)],[prove_th17]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__2 )
      | ~ ( member @ X0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ~ ( intersect @ X0 @ sk__2 )
      | ~ ( member @ ( sk_ @ sk__2 @ X0 ) @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( intersect @ sk__1 @ sk__2 )
    | ~ ( intersect @ sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).

thf(disjoint_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( disjoint @ B @ C )
    <=> ~ ( intersect @ B @ C ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( intersect @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[disjoint_defn]) ).

thf(zip_derived_cl7,plain,
    ~ ( disjoint @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    intersect @ sk__1 @ sk__2,
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl10_001,plain,
    intersect @ sk__1 @ sk__2,
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl20,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl10,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E58PLmhehp true
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 12:25:15 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % Solved by fo/fo3_bce.sh.
% 0.21/0.78  % BCE start: 8
% 0.21/0.78  % BCE eliminated: 0
% 0.21/0.78  % PE start: 8
% 0.21/0.78  logic: neq
% 0.21/0.78  % PE eliminated: 2
% 0.21/0.78  % done 7 iterations in 0.007s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.79  % Terminating...
% 1.34/0.86  % Runner terminated.
% 1.34/0.87  % Zipperpin 1.5 exiting
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