%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU511^2 : 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.N8abmKPIEr true

% Computer : n005.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 19:13:26 EDT 2023

% Result   : Theorem 1.38s 0.80s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   20 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   29 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   39 (   7   ~;   1   |;   0   &;  21   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   3   ^;  14   !;   3   ?;  20   :)

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(nonempty_type,type,
    nonempty: $i > $o ).

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

thf(nonempty,axiom,
    ( nonempty
    = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).

thf('0',plain,
    ( nonempty
    = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
    inference(simplify_rw_rule,[status(thm)],[nonempty]) ).

thf('1',plain,
    ( nonempty
    = ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
    define([status(thm)]) ).

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

thf('2',plain,
    ( emptysetE
    = ( ! [X4: $i] :
          ( ( in @ X4 @ emptyset )
         => ! [X6: $o] : X6 ) ) ),
    define([status(thm)]) ).

thf(nonemptyI1,conjecture,
    ( emptysetE
   => ! [A: $i] :
        ( ? [Xx: $i] : ( in @ Xx @ A )
       => ( nonempty @ A ) ) ) ).

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

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

thf(zip_derived_cl2,plain,
    in @ sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    sk__2 = emptyset,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__3 @ emptyset,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $o] : X0,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : SEU511^2 : TPTP v8.1.2. Released v3.7.0.
% 0.16/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.N8abmKPIEr true
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.38  % DateTime : Wed Aug 23 14:36:53 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.16/0.38  % Running portfolio for 300 s
% 0.16/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.23/0.38  % Running in HO mode
% 0.23/0.69  % Total configuration time : 828
% 0.23/0.69  % Estimated wc time : 1656
% 0.23/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.74/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.38/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.38/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.38/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.80  % Solved by lams/40_c.s.sh.
% 1.38/0.80  % done 2 iterations in 0.008s
% 1.38/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.80  % SZS output start Refutation
% See solution above
% 1.38/0.80  
% 1.38/0.80  
% 1.38/0.80  % Terminating...
% 1.69/0.89  % Runner terminated.
% 1.69/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------