TSTP Solution File: SET573+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET573+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.RTheTASWqw true

% Computer : n005.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 16:14:38 EDT 2023

% Result   : Theorem 0.46s 0.73s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  10   ~;   4   |;   3   &;  46   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  16   !;   1   ?;  17   :)

% 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__2_type,type,
    sk__2: $i ).

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

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

thf(prove_th12,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( ( member @ B @ C )
        & ( disjoint @ C @ D ) )
     => ~ ( member @ B @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( ( member @ B @ C )
          & ( disjoint @ C @ D ) )
       => ~ ( member @ B @ D ) ),
    inference('cnf.neg',[status(esa)],[prove_th12]) ).

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

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

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

thf(zip_derived_cl11,plain,
    ~ ( intersect @ sk__2 @ sk__3 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    member @ sk__1 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    member @ sk__1 @ sk__2,
    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_cl2,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_cl14,plain,
    ! [X0: $i] :
      ( ( intersect @ sk__2 @ X0 )
      | ~ ( member @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl18,plain,
    intersect @ sk__2 @ sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET573+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RTheTASWqw true
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 10:56:23 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.45/0.60  % Total configuration time : 435
% 0.45/0.60  % Estimated wc time : 1092
% 0.45/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.73  % Solved by fo/fo6_bce.sh.
% 0.46/0.73  % BCE start: 9
% 0.46/0.73  % BCE eliminated: 0
% 0.46/0.73  % PE start: 9
% 0.46/0.73  logic: neq
% 0.46/0.73  % PE eliminated: 2
% 0.46/0.73  % done 9 iterations in 0.010s
% 0.46/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.46/0.73  % SZS output start Refutation
% See solution above
% 0.46/0.73  
% 0.46/0.73  
% 0.46/0.73  % Terminating...
% 1.58/0.80  % Runner terminated.
% 1.58/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------