TSTP Solution File: SEU120+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xhscvjBPNc 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 19:10:32 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   32 (   8 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  103 (  17   ~;   7   |;   6   &;  71   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

thf(empty_set_type,type,
    empty_set: $i ).

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

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

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

thf(t4_xboole_0,conjecture,
    ! [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(zf_stmt_0,negated_conjecture,
    ~ ! [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 ) ) ) ),
    inference('cnf.neg',[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl22,plain,
    ( ( in @ sk__7 @ ( set_intersection2 @ sk__5 @ sk__6 ) )
    | ~ ( disjoint @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( disjoint @ sk__5 @ sk__6 )
      | ~ ( in @ X0 @ ( set_intersection2 @ sk__5 @ sk__6 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl162,plain,
    ( ( ( set_intersection2 @ sk__5 @ sk__6 )
      = empty_set )
    | ( disjoint @ sk__5 @ sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl25]) ).

thf(d7_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_intersection2 @ A @ B )
        = empty_set ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_intersection2 @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl168,plain,
    disjoint @ sk__5 @ sk__6,
    inference(clc,[status(thm)],[zip_derived_cl162,zip_derived_cl11]) ).

thf(zip_derived_cl169,plain,
    in @ sk__7 @ ( set_intersection2 @ sk__5 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl168]) ).

thf(zip_derived_cl168_001,plain,
    disjoint @ sk__5 @ sk__6,
    inference(clc,[status(thm)],[zip_derived_cl162,zip_derived_cl11]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = empty_set )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl170,plain,
    ( ( set_intersection2 @ sk__5 @ sk__6 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl10]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl251,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl170,zip_derived_cl119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xhscvjBPNc true
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 16:41:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 26
% 0.20/0.73  % BCE eliminated: 0
% 0.20/0.73  % PE start: 26
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 1
% 0.20/0.73  % done 45 iterations in 0.029s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.38/0.85  % Runner terminated.
% 1.38/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------