TSTP Solution File: SEU576^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU576^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXP4TEe2yn true

% Computer : n018.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 19:14:04 EDT 2023

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   25 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :   57 (   4 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  150 (   6   ~;   7   |;   0   &; 112   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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   :   39 (   0   ^;  39   !;   0   ?;  39   :)

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

thf(powersetI_type,type,
    powersetI: $o ).

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

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

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

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

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

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

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

thf('0',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

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

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

thf(powersetI1,conjecture,
    ( powersetI
   => ( subsetE
     => ! [A: $i,B: $i] :
          ( ( subset @ B @ A )
         => ( in @ B @ ( powerset @ A ) ) ) ) ) ).

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

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

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

thf(zip_derived_cl3,plain,
    subset @ sk__7 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( subset @ X2 @ X3 )
      | ( in @ X4 @ X3 )
      | ~ ( in @ X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ( in @ X0 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ ( powerset @ X1 ) )
      | ( in @ ( sk__8 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__8 @ sk__7 @ X0 ) @ sk__6 )
      | ( in @ sk__7 @ ( powerset @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ ( powerset @ X1 ) )
      | ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ( ( in @ sk__7 @ ( powerset @ sk__6 ) )
    | ( in @ sk__7 @ ( powerset @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    in @ sk__7 @ ( powerset @ sk__6 ),
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU576^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXP4TEe2yn true
% 0.13/0.34  % Computer : n018.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 22:01:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76  % Solved by lams/40_c.s.sh.
% 0.20/0.76  % done 8 iterations in 0.012s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% See solution above
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % Terminating...
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.34/0.86  % Runner terminated.
% 1.34/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------