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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV236+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.oXoB5u7cu7 true

% Computer : n005.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 0.58s 0.85s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  190 (  27   ~;  19   |;   6   &; 135   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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   :   35 (   0   ^;  33   !;   2   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(id_type,type,
    id: $i ).

thf(kp_type,type,
    kp: $i ).

thf(exp_type,type,
    exp: $i ).

thf(km_type,type,
    km: $i ).

thf(xor_type,type,
    xor: $i > $i > $i ).

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

thf(crypt_type,type,
    crypt: $i > $i > $i ).

thf(xor_rules_2,axiom,
    ! [X1: $i] :
      ( ( xor @ X1 @ X1 )
      = id ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( xor @ X0 @ X0 )
      = id ),
    inference(cnf,[status(esa)],[xor_rules_2]) ).

thf(initial_knowledge_of_intruder_4,axiom,
    p @ id ).

thf(zip_derived_cl20,plain,
    p @ id,
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_4]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] : ( p @ ( xor @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl20]) ).

thf(key_part_import___part_1,axiom,
    ! [Xk: $i,Xtype: $i] :
      ( ( ( p @ Xk )
        & ( p @ Xtype ) )
     => ( p @ ( crypt @ ( xor @ km @ ( xor @ kp @ Xtype ) ) @ Xk ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ( p @ ( crypt @ ( xor @ km @ ( xor @ kp @ X1 ) ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[key_part_import___part_1]) ).

thf(key_part_import___part_3,axiom,
    ! [Xk1: $i,Xtype: $i,Xk2: $i] :
      ( ( ( p @ Xk1 )
        & ( p @ ( crypt @ ( xor @ km @ ( xor @ Xtype @ kp ) ) @ Xk2 ) )
        & ( p @ Xtype ) )
     => ( p @ ( crypt @ ( xor @ km @ Xtype ) @ ( xor @ Xk2 @ Xk1 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ~ ( p @ ( crypt @ ( xor @ km @ ( xor @ X0 @ kp ) ) @ X2 ) )
      | ( p @ ( crypt @ ( xor @ km @ X0 ) @ ( xor @ X2 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[key_part_import___part_3]) ).

thf(find_known_exporter,conjecture,
    ? [X: $i] :
      ( ( p @ X )
      & ( p @ ( crypt @ ( xor @ km @ exp ) @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] :
        ( ( p @ X )
        & ( p @ ( crypt @ ( xor @ km @ exp ) @ X ) ) ),
    inference('cnf.neg',[status(esa)],[find_known_exporter]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ ( crypt @ ( xor @ km @ ( xor @ exp @ kp ) ) @ X1 ) )
      | ~ ( p @ X0 )
      | ~ ( p @ exp )
      | ~ ( p @ ( xor @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).

thf(xor_commutative,axiom,
    ! [X1: $i,X2: $i] :
      ( ( xor @ X1 @ X2 )
      = ( xor @ X2 @ X1 ) ) ).

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

thf(initial_knowledge_of_intruder_9,axiom,
    p @ exp ).

thf(zip_derived_cl25,plain,
    p @ exp,
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_9]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ ( crypt @ ( xor @ km @ ( xor @ kp @ exp ) ) @ X1 ) )
      | ~ ( p @ X0 )
      | ~ ( p @ ( xor @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ exp )
      | ~ ( p @ X0 )
      | ~ ( p @ ( xor @ X0 @ X1 ) )
      | ~ ( p @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl261]) ).

thf(zip_derived_cl25_001,plain,
    p @ exp,
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_9]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( xor @ X0 @ X1 ) )
      | ~ ( p @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl382,zip_derived_cl25]) ).

thf(combine_with_XOR,axiom,
    ! [X1: $i,X2: $i] :
      ( ( ( p @ X1 )
        & ( p @ X2 ) )
     => ( p @ ( xor @ X1 @ X2 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ X1 )
      | ( p @ ( xor @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[combine_with_XOR]) ).

thf(zip_derived_cl387,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X1 )
      | ~ ( p @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl385,zip_derived_cl13]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i] :
      ~ ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl387]) ).

thf(zip_derived_cl389,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl388]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV236+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oXoB5u7cu7 true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 12:36:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.85  % Solved by fo/fo4.sh.
% 0.58/0.85  % done 76 iterations in 0.069s
% 0.58/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.85  % SZS output start Refutation
% See solution above
% 0.58/0.85  
% 0.58/0.85  
% 0.58/0.85  % Terminating...
% 1.72/0.95  % Runner terminated.
% 1.72/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------