TSTP Solution File: SEU717^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU717^2 : 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.UnUV2oUwEK true

% Computer : n002.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 0.93s 0.82s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   39 (  14 unt;   9 typ;   0 def)
%            Number of atoms       :  112 (   4 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  377 (  23   ~;  29   |;   0   &; 280   @)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   52 (   0   ^;  52   !;   0   ?;  52   :)

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

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

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

thf(subsetTI_type,type,
    subsetTI: $o ).

thf(powersetI1_type,type,
    powersetI1: $o ).

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(subsetTI,axiom,
    ( subsetTI
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( in @ Xx @ X )
                     => ( in @ Xx @ Y ) ) )
               => ( subset @ X @ Y ) ) ) ) ) ) ).

thf('0',plain,
    ( subsetTI
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ( ! [X10: $i] :
                    ( ( in @ X10 @ X4 )
                   => ( ( in @ X10 @ X6 )
                     => ( in @ X10 @ X8 ) ) )
               => ( subset @ X6 @ X8 ) ) ) ) ) ),
    define([status(thm)]) ).

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

thf('1',plain,
    ( powersetI1
    = ( ! [X4: $i,X6: $i] :
          ( ( subset @ X6 @ X4 )
         => ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(powersetTI1,conjecture,
    ( powersetI1
   => ( subsetTI
     => ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( in @ Xx @ X )
                     => ( in @ Xx @ Y ) ) )
               => ( in @ X @ ( powerset @ Y ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ( subset @ X6 @ X4 )
       => ( in @ X6 @ ( powerset @ X4 ) ) )
   => ( ! [X8: $i,X10: $i] :
          ( ( in @ X10 @ ( powerset @ X8 ) )
         => ! [X12: $i] :
              ( ( in @ X12 @ ( powerset @ X8 ) )
             => ( ! [X14: $i] :
                    ( ( in @ X14 @ X8 )
                   => ( ( in @ X14 @ X10 )
                     => ( in @ X14 @ X12 ) ) )
               => ( subset @ X10 @ X12 ) ) ) )
     => ! [X16: $i,X18: $i] :
          ( ( in @ X18 @ ( powerset @ X16 ) )
         => ! [X20: $i] :
              ( ( in @ X20 @ ( powerset @ X16 ) )
             => ( ! [X22: $i] :
                    ( ( in @ X22 @ X16 )
                   => ( ( in @ X22 @ X18 )
                     => ( in @ X22 @ X20 ) ) )
               => ( in @ X18 @ ( powerset @ X20 ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ( subset @ X6 @ X4 )
         => ( in @ X6 @ ( powerset @ X4 ) ) )
     => ( ! [X8: $i,X10: $i] :
            ( ( in @ X10 @ ( powerset @ X8 ) )
           => ! [X12: $i] :
                ( ( in @ X12 @ ( powerset @ X8 ) )
               => ( ! [X14: $i] :
                      ( ( in @ X14 @ X8 )
                     => ( ( in @ X14 @ X10 )
                       => ( in @ X14 @ X12 ) ) )
                 => ( subset @ X10 @ X12 ) ) ) )
       => ! [X16: $i,X18: $i] :
            ( ( in @ X18 @ ( powerset @ X16 ) )
           => ! [X20: $i] :
                ( ( in @ X20 @ ( powerset @ X16 ) )
               => ( ! [X22: $i] :
                      ( ( in @ X22 @ X16 )
                     => ( ( in @ X22 @ X18 )
                       => ( in @ X22 @ X20 ) ) )
                 => ( in @ X18 @ ( powerset @ X20 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( in @ sk__8 @ ( powerset @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__8 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    in @ sk__9 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ( subset @ X5 @ X3 )
      | ( in @ ( sk__6 @ X3 @ X5 @ X4 ) @ X4 )
      | ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( powerset @ sk__7 ) )
      | ( in @ ( sk__6 @ sk__9 @ X0 @ sk__7 ) @ sk__7 )
      | ( subset @ X0 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl68,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ( in @ ( sk__6 @ sk__9 @ sk__8 @ sk__7 ) @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl48]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ~ ( in @ X2 @ sk__8 )
      | ( in @ X2 @ sk__9 )
      | ~ ( in @ X2 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ( subset @ X5 @ X3 )
      | ~ ( in @ ( sk__6 @ X3 @ X5 @ X4 ) @ X3 )
      | ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__6 @ sk__9 @ X1 @ X0 ) @ sk__7 )
      | ~ ( in @ ( sk__6 @ sk__9 @ X1 @ X0 ) @ sk__8 )
      | ~ ( in @ X1 @ ( powerset @ X0 ) )
      | ( subset @ X1 @ sk__9 )
      | ~ ( in @ sk__9 @ ( powerset @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl83,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ~ ( in @ sk__9 @ ( powerset @ sk__7 ) )
    | ( subset @ sk__8 @ sk__9 )
    | ~ ( in @ sk__8 @ ( powerset @ sk__7 ) )
    | ~ ( in @ ( sk__6 @ sk__9 @ sk__8 @ sk__7 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl21]) ).

thf(zip_derived_cl1_001,plain,
    in @ sk__9 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4_002,plain,
    in @ sk__8 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl85,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ( subset @ sk__8 @ sk__9 )
    | ~ ( in @ ( sk__6 @ sk__9 @ sk__8 @ sk__7 ) @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl86,plain,
    ( ~ ( in @ ( sk__6 @ sk__9 @ sk__8 @ sk__7 ) @ sk__8 )
    | ( subset @ sk__8 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl4_003,plain,
    in @ sk__8 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_004,plain,
    in @ sk__9 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ( subset @ X5 @ X3 )
      | ( in @ ( sk__6 @ X3 @ X5 @ X4 ) @ X5 )
      | ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( powerset @ sk__7 ) )
      | ( in @ ( sk__6 @ sk__9 @ X0 @ sk__7 ) @ X0 )
      | ( subset @ X0 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ( in @ ( sk__6 @ sk__9 @ sk__8 @ sk__7 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl89,plain,
    subset @ sk__8 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl13]) ).

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

thf(zip_derived_cl90,plain,
    in @ sk__8 @ ( powerset @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl0]) ).

thf(zip_derived_cl94,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU717^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UnUV2oUwEK true
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 21:14:01 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.93/0.82  % Solved by lams/40_c.s.sh.
% 0.93/0.82  % done 50 iterations in 0.029s
% 0.93/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/0.82  % SZS output start Refutation
% See solution above
% 0.93/0.82  
% 0.93/0.82  
% 0.93/0.82  % Terminating...
% 1.52/0.86  % Runner terminated.
% 1.52/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------