TSTP Solution File: SET974+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWJhkUtlhR true

% Computer : n029.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 16:17:03 EDT 2023

% Result   : Theorem 0.23s 0.78s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   33 (   6 unt;  12 typ;   0 def)
%            Number of atoms       :   42 (   1 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  214 (  23   ~;  13   |;   6   &; 170   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   5 con; 0-5 aty)
%            Number of variables   :   57 (   0   ^;  56   !;   1   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(t4_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
          & ( disjoint @ A @ B ) )
      & ~ ( ~ ( disjoint @ A @ B )
          & ! [C: $i] :
              ~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( in @ ( sk__8 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t4_xboole_0]) ).

thf(t104_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
        & ! [F: $i,G: $i] :
            ~ ( ( A
                = ( ordered_pair @ F @ G ) )
              & ( in @ F @ ( set_intersection2 @ B @ D ) )
              & ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X0 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X2 ) @ ( cartesian_product2 @ X3 @ X4 ) ) )
      | ( in @ ( sk__3 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( set_intersection2 @ X2 @ X4 ) ) ),
    inference(cnf,[status(esa)],[t104_zfmisc_1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
      | ~ ( disjoint @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X2 @ ( set_intersection2 @ ( cartesian_product2 @ X3 @ X1 ) @ ( cartesian_product2 @ X4 @ X0 ) ) )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( disjoint @ ( cartesian_product2 @ X3 @ X2 ) @ ( cartesian_product2 @ X1 @ X0 ) )
      | ~ ( disjoint @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl95]) ).

thf(t127_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( disjoint @ A @ B )
        | ( disjoint @ C @ D ) )
     => ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( ( disjoint @ A @ B )
          | ( disjoint @ C @ D ) )
       => ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ),
    inference('cnf.neg',[status(esa)],[t127_zfmisc_1]) ).

thf(zip_derived_cl13,plain,
    ~ ( disjoint @ ( cartesian_product2 @ sk__4 @ sk__6 ) @ ( cartesian_product2 @ sk__5 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    ~ ( disjoint @ sk__6 @ sk__7 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl13]) ).

thf(zip_derived_cl12,plain,
    ( ( disjoint @ sk__4 @ sk__5 )
    | ( disjoint @ sk__6 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( in @ ( sk__8 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X0 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X2 ) @ ( cartesian_product2 @ X3 @ X4 ) ) )
      | ( in @ ( sk__2 @ X4 @ X3 @ X2 @ X1 @ X0 ) @ ( set_intersection2 @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[t104_zfmisc_1]) ).

thf(zip_derived_cl15_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( set_intersection2 @ X1 @ X2 ) )
      | ~ ( disjoint @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X2 @ ( set_intersection2 @ ( cartesian_product2 @ X1 @ X3 ) @ ( cartesian_product2 @ X0 @ X4 ) ) )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( disjoint @ ( cartesian_product2 @ X3 @ X2 ) @ ( cartesian_product2 @ X1 @ X0 ) )
      | ~ ( disjoint @ X3 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl80]) ).

thf(zip_derived_cl13_003,plain,
    ~ ( disjoint @ ( cartesian_product2 @ sk__4 @ sk__6 ) @ ( cartesian_product2 @ sk__5 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ~ ( disjoint @ sk__4 @ sk__5 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl13]) ).

thf(zip_derived_cl143,plain,
    disjoint @ sk__6 @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl140]) ).

thf(zip_derived_cl149,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl143]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET974+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TWJhkUtlhR true
% 0.15/0.36  % Computer : n029.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 13:01:10 EDT 2023
% 0.23/0.37  % CPUTime  : 
% 0.23/0.37  % Running portfolio for 300 s
% 0.23/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.37  % Number of cores: 8
% 0.23/0.37  % Python version: Python 3.6.8
% 0.23/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % Solved by fo/fo6_bce.sh.
% 0.23/0.78  % BCE start: 16
% 0.23/0.78  % BCE eliminated: 0
% 0.23/0.78  % PE start: 16
% 0.23/0.78  logic: eq
% 0.23/0.78  % PE eliminated: 1
% 0.23/0.78  % done 45 iterations in 0.027s
% 0.23/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.78  % SZS output start Refutation
% See solution above
% 0.23/0.78  
% 0.23/0.78  
% 0.23/0.78  % Terminating...
% 0.83/0.88  % Runner terminated.
% 0.83/0.90  % Zipperpin 1.5 exiting
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