%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU722^2 : 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.oN7biswwbH true

% Computer : n020.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 19:16:39 EDT 2023

% Result   : Theorem 0.18s 0.74s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   17 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   34 (   2 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  109 (   9   ~;   1   |;   0   &;  80   @)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

thf(binintersectER_type,type,
    binintersectER: $o ).

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

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

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

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

thf(binintersectER,axiom,
    ( binintersectER
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( binintersect @ A @ B ) )
         => ( in @ Xx @ B ) ) ) ) ).

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

thf(binintersectTERcontra,conjecture,
    ( binintersectER
   => ! [A: $i,X: $i] :
        ( ( in @ X @ ( powerset @ A ) )
       => ! [Y: $i] :
            ( ( in @ Y @ ( powerset @ A ) )
           => ! [Xx: $i] :
                ( ( in @ Xx @ A )
               => ( ~ ( in @ Xx @ Y )
                 => ~ ( in @ Xx @ ( binintersect @ X @ Y ) ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl2,plain,
    ~ ( in @ sk__6 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__6 @ ( binintersect @ 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 @ ( binintersect @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    in @ sk__6 @ sk__5,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU722^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oN7biswwbH true
% 0.11/0.33  % Computer : n020.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Aug 23 17:04:45 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.33  % Number of cores: 8
% 0.18/0.33  % Python version: Python 3.6.8
% 0.18/0.33  % Running in HO mode
% 0.18/0.64  % Total configuration time : 828
% 0.18/0.64  % Estimated wc time : 1656
% 0.18/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.74  % Solved by lams/40_c.s.sh.
% 0.18/0.74  % done 6 iterations in 0.008s
% 0.18/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.74  % SZS output start Refutation
% See solution above
% 0.18/0.74  
% 0.18/0.74  
% 0.18/0.74  % Terminating...
% 1.45/0.84  % Runner terminated.
% 1.45/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------