TSTP Solution File: SWV236+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.C2giVKX7LL true

% Computer : n001.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 : Fri Sep  1 00:08:27 EDT 2023

% Result   : Theorem 0.76s 0.85s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  19 unt;   8 typ;   0 def)
%            Number of atoms       :   54 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  225 (  16   ~;  13   |;   5   &; 188   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  31   !;   2   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(exp_type,type,
    exp: $i ).

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

thf(decrypt_type,type,
    decrypt: $i > $i > $i ).

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

thf(eurk_type,type,
    eurk: $i ).

thf(data_type,type,
    data: $i ).

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

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

thf(initial_knowledge_of_intruder_7,axiom,
    p @ ( crypt @ ( xor @ km @ exp ) @ eurk ) ).

thf(zip_derived_cl23,plain,
    p @ ( crypt @ ( xor @ km @ exp ) @ eurk ),
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_7]) ).

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_cl150,plain,
    ~ ( p @ eurk ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl27]) ).

thf(zip_derived_cl23_001,plain,
    p @ ( crypt @ ( xor @ km @ exp ) @ eurk ),
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_7]) ).

thf(initial_knowledge_of_intruder_8,axiom,
    p @ ( crypt @ ( xor @ km @ data ) @ eurk ) ).

thf(zip_derived_cl24,plain,
    p @ ( crypt @ ( xor @ km @ data ) @ eurk ),
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_8]) ).

thf(key_export,axiom,
    ! [Xtype: $i,Xk1: $i,Xkek1: $i] :
      ( ( ( p @ ( crypt @ ( xor @ km @ Xtype ) @ Xk1 ) )
        & ( p @ Xtype )
        & ( p @ ( crypt @ ( xor @ km @ exp ) @ Xkek1 ) ) )
     => ( p @ ( crypt @ ( xor @ Xkek1 @ Xtype ) @ Xk1 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( crypt @ ( xor @ km @ X0 ) @ X1 ) )
      | ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X2 ) )
      | ( p @ ( crypt @ ( xor @ X2 @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[key_export]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i] :
      ( ~ ( p @ data )
      | ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
      | ( p @ ( crypt @ ( xor @ X0 @ data ) @ eurk ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl6]) ).

thf(initial_knowledge_of_intruder_3,axiom,
    p @ data ).

thf(zip_derived_cl19,plain,
    p @ data,
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_3]) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( crypt @ ( xor @ km @ exp ) @ X0 ) )
      | ( p @ ( crypt @ ( xor @ X0 @ data ) @ eurk ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl19]) ).

thf(zip_derived_cl414,plain,
    p @ ( crypt @ ( xor @ eurk @ data ) @ eurk ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl232]) ).

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(zip_derived_cl418,plain,
    p @ ( crypt @ ( xor @ data @ eurk ) @ eurk ),
    inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( xor @ X1 @ X0 )
      = ( xor @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[xor_commutative]) ).

thf(data_cv_is_known_to_be_zero,axiom,
    ! [X1: $i,X2: $i] :
      ( ( p @ ( crypt @ ( xor @ X1 @ data ) @ X2 ) )
     => ( p @ ( crypt @ X1 @ X2 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( crypt @ X0 @ X1 ) )
      | ~ ( p @ ( crypt @ ( xor @ X0 @ data ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[data_cv_is_known_to_be_zero]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( crypt @ X0 @ X1 ) )
      | ~ ( p @ ( crypt @ ( xor @ data @ X0 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).

thf(zip_derived_cl472,plain,
    p @ ( crypt @ eurk @ eurk ),
    inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl271]) ).

thf(encryption_decryption_cancellation,axiom,
    ! [X1: $i,X2: $i] :
      ( ( decrypt @ X1 @ ( crypt @ X1 @ X2 ) )
      = X2 ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( decrypt @ X1 @ ( crypt @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[encryption_decryption_cancellation]) ).

thf(zip_derived_cl24_003,plain,
    p @ ( crypt @ ( xor @ km @ data ) @ eurk ),
    inference(cnf,[status(esa)],[initial_knowledge_of_intruder_8]) ).

thf(decrypt_data,axiom,
    ! [X1: $i,Xk1: $i] :
      ( ( ( p @ X1 )
        & ( p @ ( crypt @ ( xor @ km @ data ) @ Xk1 ) ) )
     => ( p @ ( decrypt @ Xk1 @ X1 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( crypt @ ( xor @ km @ data ) @ X1 ) )
      | ( p @ ( decrypt @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[decrypt_data]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ( p @ ( decrypt @ eurk @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl11]) ).

thf(zip_derived_cl545,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( crypt @ eurk @ X0 ) )
      | ( p @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl290]) ).

thf(zip_derived_cl553,plain,
    p @ eurk,
    inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl545]) ).

thf(zip_derived_cl554,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl553]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.C2giVKX7LL true
% 0.13/0.34  % Computer : n001.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 : Tue Aug 29 04:53:06 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.85  % Solved by fo/fo6_bce.sh.
% 0.76/0.85  % BCE start: 28
% 0.76/0.85  % BCE eliminated: 0
% 0.76/0.85  % PE start: 28
% 0.76/0.85  logic: eq
% 0.76/0.85  % PE eliminated: 0
% 0.76/0.85  % done 104 iterations in 0.124s
% 0.76/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.76/0.85  % SZS output start Refutation
% See solution above
% 0.76/0.85  
% 0.76/0.85  
% 0.76/0.85  % Terminating...
% 1.38/0.96  % Runner terminated.
% 1.38/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------