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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU062+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.iMQmUZuTdQ true

% Computer : n029.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 04:53:23 PM UTC 2025

% Result   : Theorem 1.47s 2.66s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (   7 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  133 (  18   ~;  11   |;   2   &;  94   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(singleton_type,type,
    singleton: $i > $i ).

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

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(relation_inverse_image_type,type,
    relation_inverse_image: $i > $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t143_funct_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( ! [C: $i] :
            ~ ( ( in @ C @ A )
              & ( ( relation_inverse_image @ B @ ( singleton @ C ) )
                = empty_set ) )
       => ( subset @ A @ ( relation_rng @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( ! [C: $i] :
              ~ ( ( in @ C @ A )
                & ( ( relation_inverse_image @ B @ ( singleton @ C ) )
                  = empty_set ) )
         => ( subset @ A @ ( relation_rng @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t143_funct_1]) ).

thf(zip_derived_cl45,plain,
    ~ ( subset @ sk__12 @ ( relation_rng @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    ~ ( in @ ( sk_ @ ( relation_rng @ sk__13 ) @ sk__12 ) @ ( relation_rng @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl45]) ).

thf(t142_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( ( in @ A @ ( relation_rng @ B ) )
      <=> ( ( relation_inverse_image @ B @ ( singleton @ A ) )
         != empty_set ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_inverse_image @ X0 @ ( singleton @ X1 ) )
        = empty_set )
      | ( in @ X1 @ ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t142_funct_1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ( ( relation_inverse_image @ sk__13 @ ( singleton @ X0 ) )
       != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl310,plain,
    ! [X0: $i] :
      ( ( empty_set != empty_set )
      | ~ ( relation @ sk__13 )
      | ( in @ X0 @ ( relation_rng @ sk__13 ) )
      | ~ ( in @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl46]) ).

thf(zip_derived_cl44,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( empty_set != empty_set )
      | ( in @ X0 @ ( relation_rng @ sk__13 ) )
      | ~ ( in @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl44]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ( in @ X0 @ ( relation_rng @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl312]) ).

thf(zip_derived_cl339,plain,
    ~ ( in @ ( sk_ @ ( relation_rng @ sk__13 ) @ sk__12 ) @ sk__12 ),
    inference('sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl313]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl45_001,plain,
    ~ ( subset @ sk__12 @ ( relation_rng @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    in @ ( sk_ @ ( relation_rng @ sk__13 ) @ sk__12 ) @ sk__12,
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl45]) ).

thf(zip_derived_cl341,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl234]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.82  % Problem  : SEU062+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.91  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iMQmUZuTdQ true
% 0.17/1.33  % Computer : n029.cluster.edu
% 0.17/1.33  % Model    : x86_64 x86_64
% 0.17/1.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/1.33  % Memory   : 8042.1875MB
% 0.17/1.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/1.33  % CPULimit : 300
% 0.17/1.33  % WCLimit  : 300
% 0.17/1.33  % DateTime : Wed Oct  1 16:03:24 EDT 2025
% 0.17/1.34  % CPUTime  : 
% 0.17/1.34  % Running portfolio for 300 s
% 0.17/1.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/1.35  % Number of cores: 8
% 0.17/1.37  % Python version: Python 3.6.8
% 0.17/1.39  % Running in FO mode
% 0.35/2.11  % Total configuration time : 435
% 0.35/2.11  % Estimated wc time : 1092
% 0.35/2.11  % Estimated cpu time (7 cpus) : 156.0
% 1.30/2.41  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.30/2.45  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.30/2.48  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/2.52  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/2.54  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/2.55  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/2.56  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.47/2.66  % Solved by fo/fo3_bce.sh.
% 1.47/2.66  % BCE start: 56
% 1.47/2.66  % BCE eliminated: 4
% 1.47/2.66  % PE start: 52
% 1.47/2.66  logic: eq
% 1.47/2.66  % PE eliminated: -3
% 1.47/2.66  % done 88 iterations in 0.087s
% 1.47/2.66  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/2.66  % SZS output start Refutation
% See solution above
% 1.47/2.66  
% 1.47/2.66  
% 1.47/2.66  % Terminating...
% 1.81/2.87  % Runner terminated.
% 1.82/2.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------