TSTP Solution File: SEU169+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU169+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.UYGr5SFLH5 true

% Computer : n013.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 19:10:59 EDT 2023

% Result   : Theorem 1.46s 0.89s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   28 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :   43 (   5 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  120 (  14   ~;  10   |;   1   &;  83   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

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

thf(empty_type,type,
    empty: $i > $o ).

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

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

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

thf(l3_subset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ! [C: $i] :
          ( ( in @ C @ B )
         => ( in @ C @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( powerset @ A ) )
       => ! [C: $i] :
            ( ( in @ C @ B )
           => ( in @ C @ A ) ) ),
    inference('cnf.neg',[status(esa)],[l3_subset_1]) ).

thf(zip_derived_cl20,plain,
    element @ sk__6 @ ( powerset @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d2_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( empty @ B ) ) )
      & ( ~ ( empty @ A )
       => ( ( element @ B @ A )
        <=> ( in @ B @ A ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ( in @ X0 @ X1 )
      | ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[d2_subset_1]) ).

thf(zip_derived_cl37,plain,
    ( ( empty @ ( powerset @ sk__5 ) )
    | ( in @ sk__6 @ ( powerset @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl6]) ).

thf(fc1_subset_1,axiom,
    ! [A: $i] :
      ~ ( empty @ ( powerset @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ~ ( empty @ ( powerset @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_subset_1]) ).

thf(zip_derived_cl38,plain,
    in @ sk__6 @ ( powerset @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl13]) ).

thf(d1_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( powerset @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( subset @ C @ A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ X0 @ X2 )
      | ( X1
       != ( powerset @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_zfmisc_1]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( ( powerset @ sk__5 )
       != ( powerset @ X0 ) )
      | ( subset @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2]) ).

thf(zip_derived_cl22,plain,
    in @ sk__7 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( subset @ sk__6 @ X0 )
      | ( in @ sk__7 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl9]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( ( powerset @ sk__5 )
       != ( powerset @ X0 ) )
      | ( in @ sk__7 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl32]) ).

thf(zip_derived_cl21,plain,
    ~ ( in @ sk__7 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ( ( powerset @ sk__5 )
   != ( powerset @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl21]) ).

thf(zip_derived_cl66,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : SEU169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UYGr5SFLH5 true
% 0.15/0.39  % Computer : n013.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit : 300
% 0.15/0.39  % WCLimit  : 300
% 0.15/0.40  % DateTime : Wed Aug 23 14:21:17 EDT 2023
% 0.15/0.40  % CPUTime  : 
% 0.15/0.40  % Running portfolio for 300 s
% 0.15/0.40  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40  % Number of cores: 8
% 0.15/0.40  % Python version: Python 3.6.8
% 0.15/0.40  % Running in FO mode
% 0.24/0.70  % Total configuration time : 435
% 0.24/0.70  % Estimated wc time : 1092
% 0.24/0.70  % Estimated cpu time (7 cpus) : 156.0
% 1.10/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.46/0.89  % Solved by fo/fo4.sh.
% 1.46/0.89  % done 35 iterations in 0.026s
% 1.46/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.46/0.89  % SZS output start Refutation
% See solution above
% 1.46/0.89  
% 1.46/0.89  
% 1.46/0.89  % Terminating...
% 1.53/1.03  % Runner terminated.
% 1.53/1.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------