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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU117+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AFlpJQIbcf true

% Computer : n012.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 04:53:28 PM UTC 2025

% Result   : Theorem 0.44s 1.09s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (   7 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  144 (  19   ~;  18   |;   4   &;  96   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  30   !;   0   ?;  30   :)

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

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

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(preboolean_type,type,
    preboolean: $i > $o ).

thf(empty_type,type,
    empty: $i > $o ).

thf(cup_closed_type,type,
    cup_closed: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(finite_subsets_type,type,
    finite_subsets: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(finite_type,type,
    finite: $i > $o ).

thf(diff_closed_type,type,
    diff_closed: $i > $o ).

thf(t32_finsub_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( finite_subsets @ A ) )
     => ( element @ B @ ( powerset @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( finite_subsets @ A ) )
       => ( element @ B @ ( powerset @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t32_finsub_1]) ).

thf(zip_derived_cl59,plain,
    ~ ( element @ sk__11 @ ( powerset @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    element @ sk__11 @ ( finite_subsets @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(d5_finsub_1,axiom,
    ! [A: $i,B: $i] :
      ( ( preboolean @ B )
     => ( ( B
          = ( finite_subsets @ A ) )
      <=> ! [C: $i] :
            ( ( in @ C @ B )
          <=> ( ( subset @ C @ A )
              & ( finite @ C ) ) ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( finite_subsets @ X0 ) )
      | ( subset @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( preboolean @ X1 ) ),
    inference(cnf,[status(esa)],[d5_finsub_1]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( preboolean @ X0 )
      | ~ ( in @ X2 @ X0 )
      | ( X0
       != ( finite_subsets @ X1 ) )
      | ( element @ X2 @ ( powerset @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl55]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X1 @ X0 )
      | ( empty @ X0 )
      | ( element @ X1 @ ( powerset @ X2 ) )
      | ( X0
       != ( finite_subsets @ X2 ) )
      | ~ ( preboolean @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl320]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i] :
      ( ~ ( preboolean @ ( finite_subsets @ sk__10 ) )
      | ( ( finite_subsets @ sk__10 )
       != ( finite_subsets @ X0 ) )
      | ( element @ sk__11 @ ( powerset @ X0 ) )
      | ( empty @ ( finite_subsets @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl388]) ).

thf(dt_k5_finsub_1,axiom,
    ! [A: $i] : ( preboolean @ ( finite_subsets @ A ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).

thf(fc2_finsub_1,axiom,
    ! [A: $i] :
      ( ( preboolean @ ( finite_subsets @ A ) )
      & ( diff_closed @ ( finite_subsets @ A ) )
      & ( cup_closed @ ( finite_subsets @ A ) )
      & ~ ( empty @ ( finite_subsets @ A ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ~ ( empty @ ( finite_subsets @ X0 ) ),
    inference(cnf,[status(esa)],[fc2_finsub_1]) ).

thf(zip_derived_cl607,plain,
    ! [X0: $i] :
      ( ( ( finite_subsets @ sk__10 )
       != ( finite_subsets @ X0 ) )
      | ( element @ sk__11 @ ( powerset @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl10,zip_derived_cl15]) ).

thf(zip_derived_cl617,plain,
    ( ( finite_subsets @ sk__10 )
   != ( finite_subsets @ sk__10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl607]) ).

thf(zip_derived_cl619,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl617]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.20  % Problem  : SEU117+1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.22  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AFlpJQIbcf true
% 0.10/0.46  % Computer : n012.cluster.edu
% 0.10/0.46  % Model    : x86_64 x86_64
% 0.10/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.46  % Memory   : 8042.1875MB
% 0.10/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.46  % CPULimit : 300
% 0.10/0.46  % WCLimit  : 300
% 0.10/0.46  % DateTime : Wed Oct  1 16:12:38 EDT 2025
% 0.10/0.46  % CPUTime  : 
% 0.10/0.46  % Running portfolio for 300 s
% 0.10/0.46  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46  % Number of cores: 8
% 0.10/0.46  % Python version: Python 3.6.8
% 0.10/0.46  % Running in FO mode
% 0.43/0.74  % Total configuration time : 435
% 0.43/0.74  % Estimated wc time : 1092
% 0.43/0.74  % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.93  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/1.06  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/1.07  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.44/1.08  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.44/1.08  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.44/1.09  % Solved by fo/fo3_bce.sh.
% 0.44/1.09  % BCE start: 66
% 0.44/1.09  % BCE eliminated: 8
% 0.44/1.09  % PE start: 58
% 0.44/1.09  logic: eq
% 0.44/1.09  % PE eliminated: -4
% 0.44/1.09  % done 128 iterations in 0.110s
% 0.44/1.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/1.09  % SZS output start Refutation
% See solution above
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  % Terminating...
% 1.78/1.30  % Runner terminated.
% 1.78/1.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------