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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV011+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IQRTCk4nmD true

% Computer : n011.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 04:59:52 PM UTC 2025

% Result   : Theorem 0.58s 0.69s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   45 (   4   ~;   1   |;   2   &;  38   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   1   !;   2   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(generate_key_type,type,
    generate_key: $i > $i ).

thf(a_type,type,
    a: $i ).

thf(a_holds_type,type,
    a_holds: $i > $o ).

thf(key_type,type,
    key: $i > $i > $i ).

thf(b_holds_type,type,
    b_holds: $i > $o ).

thf(b_type,type,
    b: $i ).

thf(an_a_nonce_type,type,
    an_a_nonce: $i ).

thf(ax1,axiom,
    b_holds @ ( key @ ( generate_key @ an_a_nonce ) @ a ) ).

thf(zip_derived_cl10,plain,
    b_holds @ ( key @ ( generate_key @ an_a_nonce ) @ a ),
    inference(cnf,[status(esa)],[ax1]) ).

thf(ax3,axiom,
    a_holds @ ( key @ ( generate_key @ an_a_nonce ) @ b ) ).

thf(zip_derived_cl12,plain,
    a_holds @ ( key @ ( generate_key @ an_a_nonce ) @ b ),
    inference(cnf,[status(esa)],[ax3]) ).

thf(co1,conjecture,
    ? [U: $i] :
      ( ( b_holds @ ( key @ U @ a ) )
      & ( a_holds @ ( key @ U @ b ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [U: $i] :
        ( ( b_holds @ ( key @ U @ a ) )
        & ( a_holds @ ( key @ U @ b ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( b_holds @ ( key @ X0 @ a ) )
      | ~ ( a_holds @ ( key @ X0 @ b ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ~ ( b_holds @ ( key @ ( generate_key @ an_a_nonce ) @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl16]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV011+1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IQRTCk4nmD true
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 12:52:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.51/0.58  % Total configuration time : 435
% 0.51/0.58  % Estimated wc time : 1092
% 0.51/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.69  % Solved by fo/fo6_bce.sh.
% 0.58/0.69  % BCE start: 17
% 0.58/0.69  % BCE eliminated: 14
% 0.58/0.69  % PE start: 3
% 0.58/0.69  logic: neq
% 0.58/0.69  % PE eliminated: 2
% 0.58/0.69  % done 0 iterations in 0.009s
% 0.58/0.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.69  % SZS output start Refutation
% See solution above
% 0.58/0.69  
% 0.58/0.69  
% 0.58/0.69  % Terminating...
% 0.70/0.79  % Runner terminated.
% 0.70/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------