↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU578^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tke6ILSF0g true

% Computer : n022.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 Oct  2 04:55:10 PM UTC 2025

% Result   : Theorem 0.48s 0.76s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (   4   ~;   1   |;   0   &;  49   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(subsetRefl_type,type,
    subsetRefl: $o ).

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

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

thf('0',plain,
    ( powersetI1
    = ( ! [X4: $i,X6: $i] :
          ( ( subset @ X6 @ X4 )
         => ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetRefl,axiom,
    ( subsetRefl
    = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).

thf('1',plain,
    ( subsetRefl
    = ( ! [X4: $i] : ( subset @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(inPowerset,conjecture,
    ( subsetRefl
   => ( powersetI1
     => ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).

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

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

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ( in @ X1 @ ( powerset @ X2 ) )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( in @ sk__3 @ ( powerset @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( subset @ sk__3 @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

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

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SEU578^2 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tke6ILSF0g true
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 16:14:23 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.31  % Number of cores: 8
% 0.15/0.31  % Python version: Python 3.6.8
% 0.15/0.31  % Running in HO mode
% 0.42/0.61  % Total configuration time : 828
% 0.42/0.61  % Estimated wc time : 1656
% 0.42/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.76  % Solved by lams/40_c.s.sh.
% 0.48/0.76  % done 2 iterations in 0.008s
% 0.48/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.76  % SZS output start Refutation
% See solution above
% 0.48/0.76  
% 0.48/0.76  
% 0.48/0.76  % Terminating...
% 0.50/0.80  % Runner terminated.
% 1.72/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------