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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV237+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.Do19uyeRca true

% Computer : n027.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 05:00:28 PM UTC 2025

% Result   : Theorem 0.55s 0.84s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  155 (  19   ~;  15   |;   4   &; 115   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tmk_type,type,
    tmk: $i ).

thf(pp_type,type,
    pp: $i ).

thf(p_type,type,
    p: $i > $o ).

thf(enc_type,type,
    enc: $i > $i > $i ).

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

thf(i_type,type,
    i: $i > $i ).

thf(tc_type,type,
    tc: $i ).

thf(encrypt_clear_key_as_Tcomms_key,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ( p @ U )
        & ( p @ V )
        & ( p @ W ) )
     => ( p @ ( enc @ tc @ U ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( enc @ tc @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X0 )
      | ~ ( p @ X2 ) ),
    inference(cnf,[status(esa)],[encrypt_clear_key_as_Tcomms_key]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( enc @ tc @ X0 ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i] :
      ( ( p @ ( enc @ tc @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl168]) ).

thf(enc_dec_cancel,axiom,
    ! [U: $i,V: $i] :
      ( ( enc @ ( i @ U ) @ ( enc @ U @ V ) )
      = V ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( enc @ ( i @ X1 ) @ ( enc @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[enc_dec_cancel]) ).

thf(intruder_knows_1,axiom,
    p @ ( enc @ tmk @ pp ) ).

thf(zip_derived_cl16,plain,
    p @ ( enc @ tmk @ pp ),
    inference(cnf,[status(esa)],[intruder_knows_1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( enc @ ( i @ X1 ) @ ( enc @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[enc_dec_cancel]) ).

thf(encrypt_a_stored_comms_key,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ( p @ U )
        & ( p @ V )
        & ( p @ W ) )
     => ( p @ ( enc @ ( enc @ ( i @ tmk ) @ V ) @ ( enc @ ( i @ tc ) @ U ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ ( enc @ ( enc @ ( i @ tmk ) @ X0 ) @ ( enc @ ( i @ tc ) @ X1 ) ) )
      | ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ X2 ) ),
    inference(cnf,[status(esa)],[encrypt_a_stored_comms_key]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( enc @ ( enc @ ( i @ tmk ) @ X1 ) @ ( enc @ ( i @ tc ) @ X0 ) ) )
      | ~ ( p @ X1 )
      | ~ ( p @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( enc @ X0 @ ( enc @ ( i @ tc ) @ X1 ) ) )
      | ~ ( p @ X1 )
      | ~ ( p @ ( enc @ tmk @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl208]) ).

thf(zip_derived_cl973,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ( p @ ( enc @ pp @ ( enc @ ( i @ tc ) @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl212]) ).

thf(zip_derived_cl1012,plain,
    ! [X0: $i] :
      ( ( p @ ( enc @ pp @ X0 ) )
      | ~ ( p @ ( enc @ tc @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl973]) ).

thf(co1,conjecture,
    p @ ( enc @ pp @ a ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( p @ ( enc @ pp @ a ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl24,plain,
    ~ ( p @ ( enc @ pp @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1031,plain,
    ~ ( p @ ( enc @ tc @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1012,zip_derived_cl24]) ).

thf(zip_derived_cl1045,plain,
    ~ ( p @ a ),
    inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl1031]) ).

thf(intruder_knows_8,axiom,
    p @ a ).

thf(zip_derived_cl23,plain,
    p @ a,
    inference(cnf,[status(esa)],[intruder_knows_8]) ).

thf(zip_derived_cl1048,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV237+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Do19uyeRca true
% 0.12/0.33  % Computer : n027.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 12:25:53 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % 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
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.84  % Solved by fo/fo3_bce.sh.
% 0.55/0.84  % BCE start: 25
% 0.55/0.84  % BCE eliminated: 0
% 0.55/0.84  % PE start: 25
% 0.55/0.84  logic: eq
% 0.55/0.84  % PE eliminated: 0
% 0.55/0.84  % done 232 iterations in 0.105s
% 0.55/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.84  % SZS output start Refutation
% See solution above
% 0.55/0.84  
% 0.55/0.84  
% 0.55/0.84  % Terminating...
% 0.83/0.94  % Runner terminated.
% 1.89/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------