TSTP Solution File: SWV233+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bx77rHaAOh true

% Computer : n006.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 00:08:25 EDT 2023

% Result   : Theorem 0.57s 0.99s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  145 (  46 unt;  24 typ;   0 def)
%            Number of atoms       :  318 (  67 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 1723 ( 190   ~; 166   |;  23   &;1336   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :  211 (   0   ^; 211   !;   0   ?; 211   :)

% Comments : 
%------------------------------------------------------------------------------
thf(inverse_type,type,
    inverse: $i > $i ).

thf(k_s_type,type,
    k_s: $i ).

thf(sign_type,type,
    sign: $i > $i > $i ).

thf(head_type,type,
    head: $i > $i ).

thf(tail_type,type,
    tail: $i > $i ).

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

thf(k_a_type,type,
    k_a: $i ).

thf(s_type,type,
    s: $i ).

thf(knows_type,type,
    knows: $i > $o ).

thf(symmetric_encrypt_type,type,
    symmetric_encrypt: $i > $i > $i ).

thf(hash_type,type,
    hash: $i > $i ).

thf(kgen_type,type,
    kgen: $i > $i ).

thf(secret_type,type,
    secret: $i ).

thf(first_type,type,
    first: $i > $i ).

thf(second_type,type,
    second: $i > $i ).

thf(c_type,type,
    c: $i ).

thf(n_type,type,
    n: $i ).

thf(eol_type,type,
    eol: $i ).

thf(symmetric_decrypt_type,type,
    symmetric_decrypt: $i > $i > $i ).

thf(extract_type,type,
    extract: $i > $i > $i ).

thf(encrypt_type,type,
    encrypt: $i > $i > $i ).

thf(k_ca_type,type,
    k_ca: $i ).

thf(concatenate_type,type,
    concatenate: $i > $i > $i ).

thf(k_c_type,type,
    k_c: $i ).

thf(construct_message_1,axiom,
    ! [E1: $i,E2: $i] :
      ( ( ( knows @ E1 )
        & ( knows @ E2 ) )
     => ( ( knows @ ( concatenate @ E1 @ E2 ) )
        & ( knows @ ( encrypt @ E1 @ E2 ) )
        & ( knows @ ( symmetric_encrypt @ E1 @ E2 ) )
        & ( knows @ ( decrypt @ E1 @ E2 ) )
        & ( knows @ ( symmetric_decrypt @ E1 @ E2 ) )
        & ( knows @ ( extract @ E1 @ E2 ) )
        & ( knows @ ( sign @ E1 @ E2 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( concatenate @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_1]) ).

thf(zip_derived_cl9_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( concatenate @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_1]) ).

thf(previous_knowledge,axiom,
    ( ( knows @ k_a )
    & ( knows @ ( inverse @ k_a ) )
    & ( knows @ k_ca ) ) ).

thf(zip_derived_cl26,plain,
    knows @ ( inverse @ k_a ),
    inference(cnf,[status(esa)],[previous_knowledge]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( sign @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_1]) ).

thf(head_axiom,axiom,
    ! [X: $i,Y: $i] :
      ( ( head @ ( concatenate @ X @ Y ) )
      = X ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( head @ ( concatenate @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[head_axiom]) ).

thf(tail_axiom,axiom,
    ! [X: $i,Y: $i] :
      ( ( tail @ ( concatenate @ X @ Y ) )
      = Y ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( tail @ ( concatenate @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[tail_axiom]) ).

thf(sign_axiom,axiom,
    ! [E: $i,K: $i] :
      ( ( extract @ ( sign @ E @ ( inverse @ K ) ) @ K )
      = E ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( extract @ ( sign @ X0 @ ( inverse @ X1 ) ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[sign_axiom]) ).

thf(protocol,axiom,
    ! [Init_1: $i,Init_2: $i,Init_3: $i,Resp_1: $i,Resp_2: $i] :
      ( ( ( ( knows @ Init_1 )
          & ( knows @ Init_2 )
          & ( knows @ Init_3 )
          & ( ( second @ ( extract @ Init_3 @ Init_2 ) )
            = Init_2 ) )
       => ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ Init_2 ) @ ( concatenate @ Init_1 @ eol ) ) @ ( inverse @ k_s ) ) @ Init_2 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) )
      & ( ( ( knows @ Resp_1 )
          & ( knows @ Resp_2 )
          & ( ( first @ ( extract @ Resp_2 @ k_ca ) )
            = s )
          & ( ( second @ ( extract @ ( decrypt @ Resp_1 @ ( inverse @ k_c ) ) @ ( second @ ( extract @ Resp_2 @ k_ca ) ) ) )
            = n ) )
       => ( knows @ ( symmetric_encrypt @ secret @ ( first @ ( extract @ ( decrypt @ Resp_1 @ ( inverse @ k_c ) ) @ ( second @ ( extract @ Resp_2 @ k_ca ) ) ) ) ) ) )
      & ( knows @ ( concatenate @ n @ ( concatenate @ k_c @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X0 ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ X0 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ( ( second @ ( extract @ X2 @ X0 ) )
       != X0 )
      | ~ ( knows @ X2 )
      | ~ ( knows @ X0 )
      | ~ ( knows @ X1 ) ),
    inference(cnf,[status(esa)],[protocol]) ).

thf(second_axiom,axiom,
    ! [X: $i] :
      ( ( second @ X )
      = ( head @ ( tail @ X ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( second @ X0 )
      = ( head @ ( tail @ X0 ) ) ),
    inference(cnf,[status(esa)],[second_axiom]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X0 ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ X0 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ( ( head @ ( tail @ ( extract @ X2 @ X0 ) ) )
       != X0 )
      | ~ ( knows @ X2 )
      | ~ ( knows @ X0 )
      | ~ ( knows @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl21]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( head @ ( tail @ X0 ) )
       != X1 )
      | ~ ( knows @ X2 )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( sign @ X0 @ ( inverse @ X1 ) ) )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X1 ) @ ( concatenate @ X2 @ eol ) ) @ ( inverse @ k_s ) ) @ X1 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl45]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( head @ X0 )
       != X1 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X1 ) @ ( concatenate @ X3 @ eol ) ) @ ( inverse @ k_s ) ) @ X1 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ X2 @ X0 ) @ ( inverse @ X1 ) ) )
      | ~ ( knows @ X1 )
      | ~ ( knows @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl46]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 != X1 )
      | ~ ( knows @ X3 )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( sign @ ( concatenate @ X4 @ ( concatenate @ X0 @ X2 ) ) @ ( inverse @ X1 ) ) )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X1 ) @ ( concatenate @ X3 @ eol ) ) @ ( inverse @ k_s ) ) @ X1 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl47]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X0 ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ X0 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ X3 @ ( concatenate @ X0 @ X2 ) ) @ ( inverse @ X0 ) ) )
      | ~ ( knows @ X0 )
      | ~ ( knows @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( knows @ ( inverse @ X0 ) )
      | ~ ( knows @ ( concatenate @ X2 @ ( concatenate @ X0 @ X1 ) ) )
      | ~ ( knows @ X3 )
      | ~ ( knows @ X0 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X0 ) @ ( concatenate @ X3 @ eol ) ) @ ( inverse @ k_s ) ) @ X0 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl51]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ k_a )
      | ~ ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X2 @ ( concatenate @ k_a @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl163]) ).

thf(zip_derived_cl25,plain,
    knows @ k_a,
    inference(cnf,[status(esa)],[previous_knowledge]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X2 @ ( concatenate @ k_a @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl25]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( knows @ ( concatenate @ k_a @ X0 ) )
      | ~ ( knows @ X1 )
      | ~ ( knows @ X2 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X2 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl167]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( concatenate @ k_a @ X0 ) )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl168]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ k_a )
      | ~ ( knows @ X1 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl169]) ).

thf(zip_derived_cl25_002,plain,
    knows @ k_a,
    inference(cnf,[status(esa)],[previous_knowledge]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl25]) ).

thf(zip_derived_cl707,plain,
    ! [X0: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl171]) ).

thf(construct_message_2,axiom,
    ! [E1: $i,E2: $i] :
      ( ( knows @ ( concatenate @ E1 @ E2 ) )
     => ( ( knows @ E1 )
        & ( knows @ E2 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_a ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl707,zip_derived_cl10]) ).

thf(zip_derived_cl26_003,plain,
    knows @ ( inverse @ k_a ),
    inference(cnf,[status(esa)],[previous_knowledge]) ).

thf(encrypt_equation,axiom,
    ! [E1: $i,E2: $i] :
      ( ( ( knows @ ( encrypt @ E1 @ E2 ) )
        & ( knows @ ( inverse @ E2 ) ) )
     => ( knows @ E1 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( encrypt @ X0 @ X1 ) )
      | ~ ( knows @ ( inverse @ X1 ) ) ),
    inference(cnf,[status(esa)],[encrypt_equation]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( knows @ ( encrypt @ X0 @ k_a ) )
      | ( knows @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl0]) ).

thf(zip_derived_cl714,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( sign @ ( concatenate @ ( kgen @ k_a ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl32]) ).

thf(zip_derived_cl29,plain,
    knows @ ( concatenate @ n @ ( concatenate @ k_c @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ) ) ),
    inference(cnf,[status(esa)],[protocol]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl53,plain,
    knows @ ( concatenate @ k_c @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl11]) ).

thf(zip_derived_cl11_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl55,plain,
    knows @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl11]) ).

thf(zip_derived_cl51_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ X0 ) @ ( concatenate @ X1 @ eol ) ) @ ( inverse @ k_s ) ) @ X0 ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ X3 @ ( concatenate @ X0 @ X2 ) ) @ ( inverse @ X0 ) ) )
      | ~ ( knows @ X0 )
      | ~ ( knows @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ k_c )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_c ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_c ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).

thf(zip_derived_cl53_006,plain,
    knows @ ( concatenate @ k_c @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl11]) ).

thf(zip_derived_cl10_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl54,plain,
    knows @ k_c,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl10]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( concatenate @ ( encrypt @ ( sign @ ( concatenate @ ( kgen @ k_c ) @ ( concatenate @ X0 @ eol ) ) @ ( inverse @ k_s ) ) @ k_c ) @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl54]) ).

thf(zip_derived_cl11_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl183,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl11]) ).

thf(sign_equation,axiom,
    ! [E: $i,K: $i] :
      ( ( ( knows @ ( sign @ E @ ( inverse @ K ) ) )
        & ( knows @ K ) )
     => ( knows @ E ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( sign @ X0 @ ( inverse @ X1 ) ) )
      | ~ ( knows @ X1 ) ),
    inference(cnf,[status(esa)],[sign_equation]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ k_ca )
      | ( knows @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl2]) ).

thf(zip_derived_cl27,plain,
    knows @ k_ca,
    inference(cnf,[status(esa)],[previous_knowledge]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl27]) ).

thf(zip_derived_cl11_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( concatenate @ k_s @ eol ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl11]) ).

thf(zip_derived_cl183_010,plain,
    ! [X0: $i] :
      ( ~ ( knows @ X0 )
      | ( knows @ ( sign @ ( concatenate @ s @ ( concatenate @ k_s @ eol ) ) @ ( inverse @ k_ca ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl11]) ).

thf(zip_derived_cl18_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( head @ ( concatenate @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[head_axiom]) ).

thf(zip_derived_cl19_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( tail @ ( concatenate @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[tail_axiom]) ).

thf(zip_derived_cl17_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( extract @ ( sign @ X0 @ ( inverse @ X1 ) ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[sign_axiom]) ).

thf(construct_message_3,axiom,
    ! [E: $i] :
      ( ( knows @ E )
     => ( ( knows @ ( head @ E ) )
        & ( knows @ ( tail @ E ) )
        & ( knows @ ( hash @ E ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( knows @ ( head @ X0 ) )
      | ~ ( knows @ X0 ) ),
    inference(cnf,[status(esa)],[construct_message_3]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( extract @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_1]) ).

thf(zip_derived_cl12_014,plain,
    ! [X0: $i] :
      ( ( knows @ ( head @ X0 ) )
      | ~ ( knows @ X0 ) ),
    inference(cnf,[status(esa)],[construct_message_3]) ).

thf(zip_derived_cl18_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( head @ ( concatenate @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[head_axiom]) ).

thf(zip_derived_cl17_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( extract @ ( sign @ X0 @ ( inverse @ X1 ) ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[sign_axiom]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ( knows @ ( encrypt @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_1]) ).

thf(decrypt_axiom,axiom,
    ! [E: $i,K: $i] :
      ( ( decrypt @ ( encrypt @ E @ K ) @ ( inverse @ K ) )
      = E ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( decrypt @ ( encrypt @ X0 @ X1 ) @ ( inverse @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[decrypt_axiom]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ ( symmetric_encrypt @ secret @ ( first @ ( extract @ ( decrypt @ X0 @ ( inverse @ k_c ) ) @ ( second @ ( extract @ X1 @ k_ca ) ) ) ) ) )
      | ( ( second @ ( extract @ ( decrypt @ X0 @ ( inverse @ k_c ) ) @ ( second @ ( extract @ X1 @ k_ca ) ) ) )
       != n )
      | ( ( first @ ( extract @ X1 @ k_ca ) )
       != s )
      | ~ ( knows @ X1 )
      | ~ ( knows @ X0 ) ),
    inference(cnf,[status(esa)],[protocol]) ).

thf(zip_derived_cl21_017,plain,
    ! [X0: $i] :
      ( ( second @ X0 )
      = ( head @ ( tail @ X0 ) ) ),
    inference(cnf,[status(esa)],[second_axiom]) ).

thf(first_axiom,axiom,
    ! [X: $i] :
      ( ( first @ X )
      = ( head @ X ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( first @ X0 )
      = ( head @ X0 ) ),
    inference(cnf,[status(esa)],[first_axiom]) ).

thf(zip_derived_cl21_018,plain,
    ! [X0: $i] :
      ( ( second @ X0 )
      = ( head @ ( tail @ X0 ) ) ),
    inference(cnf,[status(esa)],[second_axiom]) ).

thf(zip_derived_cl21_019,plain,
    ! [X0: $i] :
      ( ( second @ X0 )
      = ( head @ ( tail @ X0 ) ) ),
    inference(cnf,[status(esa)],[second_axiom]) ).

thf(zip_derived_cl20_020,plain,
    ! [X0: $i] :
      ( ( first @ X0 )
      = ( head @ X0 ) ),
    inference(cnf,[status(esa)],[first_axiom]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ ( symmetric_encrypt @ secret @ ( head @ ( extract @ ( decrypt @ X0 @ ( inverse @ k_c ) ) @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) ) )
      | ( ( head @ ( tail @ ( extract @ ( decrypt @ X0 @ ( inverse @ k_c ) ) @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) )
       != n )
      | ( ( head @ ( extract @ X1 @ k_ca ) )
       != s )
      | ~ ( knows @ X1 )
      | ~ ( knows @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl21,zip_derived_cl20,zip_derived_cl21,zip_derived_cl21,zip_derived_cl20]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ ( symmetric_encrypt @ secret @ ( head @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) ) )
      | ~ ( knows @ ( encrypt @ X0 @ k_c ) )
      | ~ ( knows @ X1 )
      | ( ( head @ ( extract @ X1 @ k_ca ) )
       != s )
      | ( ( head @ ( tail @ ( extract @ ( decrypt @ ( encrypt @ X0 @ k_c ) @ ( inverse @ k_c ) ) @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) )
       != n ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl65]) ).

thf(zip_derived_cl15_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( decrypt @ ( encrypt @ X0 @ X1 ) @ ( inverse @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[decrypt_axiom]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ ( symmetric_encrypt @ secret @ ( head @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) ) )
      | ~ ( knows @ ( encrypt @ X0 @ k_c ) )
      | ~ ( knows @ X1 )
      | ( ( head @ ( extract @ X1 @ k_ca ) )
       != s )
      | ( ( head @ ( tail @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) )
       != n ) ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl15]) ).

thf(symmetric_encrypt_equation,axiom,
    ! [E1: $i,E2: $i] :
      ( ( ( knows @ ( symmetric_encrypt @ E1 @ E2 ) )
        & ( knows @ E2 ) )
     => ( knows @ E1 ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( symmetric_encrypt @ X0 @ X1 ) )
      | ~ ( knows @ X1 ) ),
    inference(cnf,[status(esa)],[symmetric_encrypt_equation]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head @ ( tail @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ X0 @ k_ca ) ) ) ) ) )
       != n )
      | ( ( head @ ( extract @ X0 @ k_ca ) )
       != s )
      | ~ ( knows @ X0 )
      | ~ ( knows @ ( encrypt @ X1 @ k_c ) )
      | ~ ( knows @ ( head @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ X0 @ k_ca ) ) ) ) ) )
      | ( knows @ secret ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl1]) ).

thf(attack,conjecture,
    knows @ secret ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( knows @ secret ),
    inference('cnf.neg',[status(esa)],[attack]) ).

thf(zip_derived_cl31,plain,
    ~ ( knows @ secret ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( head @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ X0 @ k_ca ) ) ) ) ) )
      | ~ ( knows @ ( encrypt @ X1 @ k_c ) )
      | ~ ( knows @ X0 )
      | ( ( head @ ( extract @ X0 @ k_ca ) )
       != s )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ X0 @ k_ca ) ) ) ) ) )
       != n ) ),
    inference(clc,[status(thm)],[zip_derived_cl71,zip_derived_cl31]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ k_c )
      | ~ ( knows @ X0 )
      | ( ( head @ ( tail @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) )
       != n )
      | ( ( head @ ( extract @ X1 @ k_ca ) )
       != s )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( head @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl78]) ).

thf(zip_derived_cl54_022,plain,
    knows @ k_c,
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl10]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ( ( head @ ( tail @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) )
       != n )
      | ( ( head @ ( extract @ X1 @ k_ca ) )
       != s )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( head @ ( extract @ X0 @ ( head @ ( tail @ ( extract @ X1 @ k_ca ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl54]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head @ X0 )
       != s )
      | ~ ( knows @ ( head @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ ( sign @ X0 @ ( inverse @ k_ca ) ) @ k_ca ) ) ) ) ) )
      | ~ ( knows @ ( sign @ X0 @ ( inverse @ k_ca ) ) )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ ( tail @ ( extract @ ( sign @ X0 @ ( inverse @ k_ca ) ) @ k_ca ) ) ) ) ) )
       != n )
      | ~ ( knows @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl80]) ).

thf(zip_derived_cl17_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( extract @ ( sign @ X0 @ ( inverse @ X1 ) ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[sign_axiom]) ).

thf(zip_derived_cl17_024,plain,
    ! [X0: $i,X1: $i] :
      ( ( extract @ ( sign @ X0 @ ( inverse @ X1 ) ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[sign_axiom]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head @ X0 )
       != s )
      | ~ ( knows @ ( head @ ( extract @ X1 @ ( head @ ( tail @ X0 ) ) ) ) )
      | ~ ( knows @ ( sign @ X0 @ ( inverse @ k_ca ) ) )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ ( tail @ X0 ) ) ) ) )
       != n )
      | ~ ( knows @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != s )
      | ~ ( knows @ X2 )
      | ( ( head @ ( tail @ ( extract @ X2 @ ( head @ ( tail @ ( concatenate @ X0 @ X1 ) ) ) ) ) )
       != n )
      | ~ ( knows @ ( sign @ ( concatenate @ X0 @ X1 ) @ ( inverse @ k_ca ) ) )
      | ~ ( knows @ ( head @ ( extract @ X2 @ ( head @ ( tail @ ( concatenate @ X0 @ X1 ) ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl95]) ).

thf(zip_derived_cl19_025,plain,
    ! [X0: $i,X1: $i] :
      ( ( tail @ ( concatenate @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[tail_axiom]) ).

thf(zip_derived_cl19_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( tail @ ( concatenate @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[tail_axiom]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != s )
      | ~ ( knows @ X2 )
      | ( ( head @ ( tail @ ( extract @ X2 @ ( head @ X1 ) ) ) )
       != n )
      | ~ ( knows @ ( sign @ ( concatenate @ X0 @ X1 ) @ ( inverse @ k_ca ) ) )
      | ~ ( knows @ ( head @ ( extract @ X2 @ ( head @ X1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl19,zip_derived_cl19]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( head @ ( extract @ X1 @ ( head @ X0 ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ X0 ) ) ) )
       != n )
      | ~ ( knows @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( extract @ X1 @ ( head @ X0 ) ) )
      | ~ ( knows @ X1 )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ X0 ) ) ) )
       != n )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl98]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( head @ X0 ) )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ X0 ) ) ) )
       != n )
      | ~ ( knows @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl99]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head @ ( tail @ ( extract @ X1 @ ( head @ X0 ) ) ) )
       != n )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( head @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ X1 )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) )
      | ( ( head @ ( tail @ ( extract @ X1 @ ( head @ X0 ) ) ) )
       != n ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl111]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( head @ ( tail @ X0 ) )
       != n )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X1 ) @ ( inverse @ k_ca ) ) )
      | ~ ( knows @ ( sign @ X0 @ ( inverse @ ( head @ X1 ) ) ) )
      | ~ ( knows @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl114]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( head @ X0 )
       != n )
      | ~ ( knows @ X2 )
      | ~ ( knows @ ( sign @ ( concatenate @ X1 @ X0 ) @ ( inverse @ ( head @ X2 ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X2 ) @ ( inverse @ k_ca ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl140]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 != n )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X2 ) @ ( inverse @ k_ca ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ X3 @ ( concatenate @ X0 @ X1 ) ) @ ( inverse @ ( head @ X2 ) ) ) )
      | ~ ( knows @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl142]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( knows @ X0 )
      | ~ ( knows @ ( sign @ ( concatenate @ X2 @ ( concatenate @ n @ X1 ) ) @ ( inverse @ ( head @ X0 ) ) ) )
      | ~ ( knows @ ( sign @ ( concatenate @ s @ X0 ) @ ( inverse @ k_ca ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( knows @ X2 )
      | ~ ( knows @ ( sign @ ( concatenate @ X1 @ ( concatenate @ n @ X0 ) ) @ ( inverse @ ( head @ ( concatenate @ k_s @ eol ) ) ) ) )
      | ~ ( knows @ ( concatenate @ k_s @ eol ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl159]) ).

thf(zip_derived_cl18_027,plain,
    ! [X0: $i,X1: $i] :
      ( ( head @ ( concatenate @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[head_axiom]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( knows @ X2 )
      | ~ ( knows @ ( sign @ ( concatenate @ X1 @ ( concatenate @ n @ X0 ) ) @ ( inverse @ k_s ) ) )
      | ~ ( knows @ ( concatenate @ k_s @ eol ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl18]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( knows @ ( concatenate @ k_s @ eol ) )
      | ~ ( knows @ ( sign @ ( concatenate @ X1 @ ( concatenate @ n @ X0 ) ) @ ( inverse @ k_s ) ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl335,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( knows @ X2 )
      | ~ ( knows @ ( sign @ ( concatenate @ X1 @ ( concatenate @ n @ X0 ) ) @ ( inverse @ k_s ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl271]) ).

thf(zip_derived_cl356,plain,
    ! [X0: $i,X1: $i] :
      ~ ( knows @ ( sign @ ( concatenate @ X1 @ ( concatenate @ n @ X0 ) ) @ ( inverse @ k_s ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl335]) ).

thf(zip_derived_cl717,plain,
    ~ ( knows @ n ),
    inference('sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl356]) ).

thf(zip_derived_cl29_028,plain,
    knows @ ( concatenate @ n @ ( concatenate @ k_c @ ( sign @ ( concatenate @ c @ ( concatenate @ k_c @ eol ) ) @ ( inverse @ k_c ) ) ) ),
    inference(cnf,[status(esa)],[protocol]) ).

thf(zip_derived_cl10_029,plain,
    ! [X0: $i,X1: $i] :
      ( ( knows @ X0 )
      | ~ ( knows @ ( concatenate @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[construct_message_2]) ).

thf(zip_derived_cl52,plain,
    knows @ n,
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl10]) ).

thf(zip_derived_cl723,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bx77rHaAOh true
% 0.13/0.34  % Computer : n006.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 06:46:06 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.99  % Solved by fo/fo7.sh.
% 0.57/0.99  % done 407 iterations in 0.207s
% 0.57/0.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.99  % SZS output start Refutation
% See solution above
% 0.57/0.99  
% 0.57/0.99  
% 0.57/0.99  % Terminating...
% 1.95/1.07  % Runner terminated.
% 1.95/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------