TSTP Solution File: SEU718^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU718^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A9ikHw2cNm 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 19:16:36 EDT 2023

% Result   : Theorem 0.89s 0.85s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   24 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   61 (   4 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  159 (   7   ~;   4   |;   0   &; 115   @)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

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

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

thf(powersetE1_type,type,
    powersetE1: $o ).

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

thf(subsetE_type,type,
    subsetE: $o ).

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

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

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

thf(powersetE1,axiom,
    ( powersetE1
    = ( ! [A: $i,B: $i] :
          ( ( in @ B @ ( powerset @ A ) )
         => ( subset @ B @ A ) ) ) ) ).

thf('0',plain,
    ( powersetE1
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ( subset @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(subsetE,axiom,
    ( subsetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) ) ) ) ) ).

thf('1',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(powersetTE1,conjecture,
    ( subsetE
   => ( powersetE1
     => ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Xx: $i] :
                  ( ( in @ Xx @ A )
                 => ( ( in @ X @ ( powerset @ Y ) )
                   => ( ( in @ Xx @ X )
                     => ( in @ Xx @ Y ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( subset @ X4 @ X6 )
       => ( ( in @ X8 @ X4 )
         => ( in @ X8 @ X6 ) ) )
   => ( ! [X10: $i,X12: $i] :
          ( ( in @ X12 @ ( powerset @ X10 ) )
         => ( subset @ X12 @ X10 ) )
     => ! [X14: $i,X16: $i] :
          ( ( in @ X16 @ ( powerset @ X14 ) )
         => ! [X18: $i] :
              ( ( in @ X18 @ ( powerset @ X14 ) )
             => ! [X20: $i] :
                  ( ( in @ X20 @ X14 )
                 => ( ( in @ X16 @ ( powerset @ X18 ) )
                   => ( ( in @ X20 @ X16 )
                     => ( in @ X20 @ X18 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) )
     => ( ! [X10: $i,X12: $i] :
            ( ( in @ X12 @ ( powerset @ X10 ) )
           => ( subset @ X12 @ X10 ) )
       => ! [X14: $i,X16: $i] :
            ( ( in @ X16 @ ( powerset @ X14 ) )
           => ! [X18: $i] :
                ( ( in @ X18 @ ( powerset @ X14 ) )
               => ! [X20: $i] :
                    ( ( in @ X20 @ X14 )
                   => ( ( in @ X16 @ ( powerset @ X18 ) )
                     => ( ( in @ X20 @ X16 )
                       => ( in @ X20 @ X18 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i,X4: $i] :
      ( ( subset @ X3 @ X4 )
      | ~ ( in @ X3 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    in @ sk__6 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    subset @ sk__6 @ sk__7,
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__6 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__8 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl30,plain,
    ~ ( in @ sk__8 @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    in @ sk__8 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl36,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU718^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A9ikHw2cNm true
% 0.15/0.36  % Computer : n005.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 : Wed Aug 23 14:03:39 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.69  % Total configuration time : 828
% 0.23/0.69  % Estimated wc time : 1656
% 0.23/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.84  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.89/0.85  % Solved by lams/40_c.s.sh.
% 0.89/0.85  % done 28 iterations in 0.011s
% 0.89/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.89/0.85  % SZS output start Refutation
% See solution above
% 0.89/0.85  
% 0.89/0.85  
% 0.89/0.85  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.89/0.85  % Terminating...
% 1.76/0.93  % Runner terminated.
% 1.76/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------