TSTP Solution File: SEU746^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU746^2 : 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.YBZfrlxJUh true

% Computer : n001.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 19:16:59 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   51 (   2 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  154 (   8   ~;   9   |;   0   &; 106   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 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   :   30 (   0   ^;  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $o ).

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

thf(binunion_type,type,
    binunion: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(binunionE_type,type,
    binunionE: $o ).

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(binunionE,axiom,
    ( binunionE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( binunion @ A @ B ) )
         => ( ( in @ Xx @ A )
            | ( in @ Xx @ B ) ) ) ) ) ).

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

thf(binunionTE,conjecture,
    ( binunionE
   => ! [A: $i,X: $i] :
        ( ( in @ X @ ( powerset @ A ) )
       => ! [Y: $i] :
            ( ( in @ Y @ ( powerset @ A ) )
           => ! [Xphi: $o,Xx: $i] :
                ( ( in @ Xx @ A )
               => ( ( in @ Xx @ ( binunion @ X @ Y ) )
                 => ( ( ( in @ Xx @ X )
                     => Xphi )
                   => ( ( ( in @ Xx @ Y )
                       => Xphi )
                     => Xphi ) ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl5,plain,
    ( sk__6
    | ~ ( in @ sk__7 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl9,plain,
    ~ ( in @ sk__7 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    in @ sk__7 @ ( binunion @ sk__4 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl10,plain,
    ( ( in @ sk__7 @ sk__4 )
    | ( in @ sk__7 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( sk__6
    | ~ ( in @ sk__7 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_001,plain,
    ~ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ~ ( in @ sk__7 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    in @ sk__7 @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU746^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YBZfrlxJUh true
% 0.14/0.35  % Computer : n001.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 16:57:54 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % 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
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77  % Solved by lams/40_c.s.sh.
% 0.56/0.77  % done 8 iterations in 0.009s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.59/0.88  % Runner terminated.
% 0.59/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------