%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU502^2 : 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.kjvBhqcExy 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 Aug 31 19:13:21 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   32 (   2 equ;   2 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   71 (   9   ~;   2   |;   0   &;  40   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   6 con; 0-2 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   24 (   8   ^;  16   !;   0   ?;  24   :)

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

thf(emptysetE_type,type,
    emptysetE: $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(emptyset_type,type,
    emptyset: $i ).

thf(emptysetE,axiom,
    ( emptysetE
    = ( ! [Xx: $i] :
          ( ( in @ Xx @ emptyset )
         => ! [Xphi: $o] : Xphi ) ) ) ).

thf('0',plain,
    ( emptysetE
    = ( ! [X4: $i] :
          ( ( in @ X4 @ emptyset )
         => ! [X6: $o] : X6 ) ) ),
    define([status(thm)]) ).

thf(emptysetimpfalse,conjecture,
    ( emptysetE
   => ! [Xx: $i] :
        ( ( in @ Xx @ emptyset )
       => $false ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i] :
        ( ( in @ X4 @ emptyset )
       => ! [X6: $o] : X6 )
   => ! [X8: $i] :
        ~ ( in @ X8 @ emptyset ) ) ).

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

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ emptyset )
           => ( !!
              @ ^ [Y1: $o] : Y1 ) ) )
     => ( !!
        @ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ emptyset ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    in @ '#sk1' @ emptyset,
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( in @ Y0 @ emptyset )
       => ( !!
          @ ^ [Y1: $o] : Y1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ( in @ X2 @ emptyset )
     => ( !!
        @ ^ [Y0: $o] : Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ~ ( in @ X2 @ emptyset )
      | ( !!
        @ ^ [Y0: $o] : Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $o] :
      ( X4
      | ~ ( in @ X2 @ emptyset ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $o] : X0,
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU502^2 : 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.kjvBhqcExy true
% 0.14/0.35  % Computer : n022.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 13:13:56 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
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /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
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % Solved by lams/35_full_unif4.sh.
% 0.20/0.77  % done 1 iterations in 0.006s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % Terminating...
% 1.65/0.87  % Runner terminated.
% 1.65/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------