TSTP Solution File: SWV014+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV014+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 : Sun May  5 10:27:38 EDT 2024

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  103 (  19 unt;   0 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  318 ( 146   ~; 130   |;  21   &)
%                                         (  10 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   18 (  17 usr;  11 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  133 ( 131   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f219,plain,
    $false,
    inference(avatar_sat_refutation,[],[f109,f111,f128,f134,f145,f151,f189,f191,f199,f203,f218]) ).

fof(f218,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f172,f99]) ).

fof(f99,plain,
    intruder_message(an_a_nonce),
    inference(resolution,[],[f98,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ intruder_message(pair(X0,X1))
      | intruder_message(X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( intruder_message(X1)
        & intruder_message(X0) )
      | ~ intruder_message(pair(X0,X1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( intruder_message(pair(X0,X1))
     => ( intruder_message(X1)
        & intruder_message(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_decomposes_pairs) ).

fof(f98,plain,
    intruder_message(pair(a,an_a_nonce)),
    inference(resolution,[],[f76,f63]) ).

fof(f63,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    message(sent(a,b,pair(a,an_a_nonce))),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',a_sent_message_i_to_b) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ message(sent(X0,X1,X2))
      | intruder_message(X2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( intruder_message(X2)
      | ~ message(sent(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( message(sent(X0,X1,X2))
     => intruder_message(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_can_record) ).

fof(f172,plain,
    ( ~ intruder_message(an_a_nonce)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl0_9
  <=> intruder_message(an_a_nonce) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f203,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f200,f197,f170]) ).

fof(f197,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
        | ~ intruder_message(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f200,plain,
    ( ~ intruder_message(an_a_nonce)
    | ~ spl0_13 ),
    inference(resolution,[],[f198,f164]) ).

fof(f164,plain,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
    inference(resolution,[],[f158,f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(triple(X0,X1,X2))
      | intruder_message(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( intruder_message(X2)
        & intruder_message(X1)
        & intruder_message(X0) )
      | ~ intruder_message(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( intruder_message(triple(X0,X1,X2))
     => ( intruder_message(X2)
        & intruder_message(X1)
        & intruder_message(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_decomposes_triples) ).

fof(f158,plain,
    intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))),
    inference(resolution,[],[f157,f63]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ message(sent(X0,b,pair(X0,an_a_nonce)))
      | intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ),
    inference(resolution,[],[f156,f68]) ).

fof(f68,plain,
    fresh_to_b(an_a_nonce),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',nonce_a_is_fresh_to_b) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ fresh_to_b(X0)
      | ~ message(sent(X1,b,pair(X1,X0)))
      | intruder_message(triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt))) ),
    inference(resolution,[],[f69,f76]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt))))
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( b_stored(pair(X0,X1))
        & message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) )
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( b_stored(pair(X0,X1))
        & message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) )
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( fresh_to_b(X1)
        & message(sent(X0,b,pair(X0,X1))) )
     => ( b_stored(pair(X0,X1))
        & message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',b_creates_freash_nonces_in_time) ).

fof(f198,plain,
    ( ! [X0] :
        ( ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
        | ~ intruder_message(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( spl0_13
    | ~ spl0_5
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f195,f187,f123,f138,f197]) ).

fof(f138,plain,
    ( spl0_5
  <=> b_stored(pair(a,an_a_nonce)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f123,plain,
    ( spl0_3
  <=> ! [X2,X1] :
        ( intruder_message(encrypt(X1,X2))
        | ~ intruder_message(X2)
        | ~ intruder_message(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f187,plain,
    ( spl0_12
  <=> ! [X0,X1] :
        ( ~ b_stored(pair(a,X0))
        | ~ intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(X0)),bt),encrypt(generate_b_nonce(X0),X1)))
        | ~ intruder_message(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f195,plain,
    ( ! [X0] :
        ( ~ b_stored(pair(a,an_a_nonce))
        | ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
        | ~ intruder_message(X0) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(resolution,[],[f194,f165]) ).

fof(f165,plain,
    intruder_message(generate_b_nonce(an_a_nonce)),
    inference(resolution,[],[f158,f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(triple(X0,X1,X2))
      | intruder_message(X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f194,plain,
    ( ! [X0,X1] :
        ( ~ intruder_message(generate_b_nonce(X1))
        | ~ b_stored(pair(a,X1))
        | ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(X1)),bt))
        | ~ intruder_message(X0) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ( ! [X0,X1] :
        ( ~ intruder_message(X0)
        | ~ b_stored(pair(a,X1))
        | ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(X1)),bt))
        | ~ intruder_message(X0)
        | ~ intruder_message(generate_b_nonce(X1)) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(resolution,[],[f192,f124]) ).

fof(f124,plain,
    ( ! [X2,X1] :
        ( intruder_message(encrypt(X1,X2))
        | ~ intruder_message(X2)
        | ~ intruder_message(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f192,plain,
    ( ! [X0,X1] :
        ( ~ intruder_message(encrypt(generate_b_nonce(X0),X1))
        | ~ intruder_message(X1)
        | ~ b_stored(pair(a,X0))
        | ~ intruder_message(encrypt(triple(a,X1,generate_expiration_time(X0)),bt)) )
    | ~ spl0_12 ),
    inference(resolution,[],[f188,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X0,X1))
      | ~ intruder_message(X1)
      | ~ intruder_message(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X0,X1))
      | ~ intruder_message(X1)
      | ~ intruder_message(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X0,X1))
      | ~ intruder_message(X1)
      | ~ intruder_message(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( intruder_message(X1)
        & intruder_message(X0) )
     => intruder_message(pair(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_composes_pairs) ).

fof(f188,plain,
    ( ! [X0,X1] :
        ( ~ intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(X0)),bt),encrypt(generate_b_nonce(X0),X1)))
        | ~ b_stored(pair(a,X0))
        | ~ intruder_message(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f191,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f190]) ).

fof(f190,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f185,f62]) ).

fof(f62,plain,
    party_of_protocol(a),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    party_of_protocol(a),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',a_is_party_of_protocol) ).

fof(f185,plain,
    ( ~ party_of_protocol(a)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_11
  <=> party_of_protocol(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f189,plain,
    ( ~ spl0_11
    | ~ spl0_2
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f103,f187,f106,f183]) ).

fof(f106,plain,
    ( spl0_2
  <=> party_of_protocol(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f103,plain,
    ( spl0_1
  <=> ! [X0] :
        ( ~ intruder_message(X0)
        | ~ b_holds(key(X0,a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f181,plain,
    ( ! [X0,X1] :
        ( ~ b_stored(pair(a,X0))
        | ~ intruder_message(X1)
        | ~ party_of_protocol(b)
        | ~ party_of_protocol(a)
        | ~ intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(X0)),bt),encrypt(generate_b_nonce(X0),X1))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f180,f90]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( message(sent(X1,X2,X0))
      | ~ party_of_protocol(X2)
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( message(sent(X1,X2,X0))
      | ~ party_of_protocol(X2)
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( message(sent(X1,X2,X0))
      | ~ party_of_protocol(X2)
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2] :
      ( ( party_of_protocol(X2)
        & party_of_protocol(X1)
        & intruder_message(X0) )
     => message(sent(X1,X2,X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_message_sent) ).

fof(f180,plain,
    ( ! [X0,X1] :
        ( ~ message(sent(a,b,pair(encrypt(triple(a,X1,generate_expiration_time(X0)),bt),encrypt(generate_b_nonce(X0),X1))))
        | ~ b_stored(pair(a,X0))
        | ~ intruder_message(X1) )
    | ~ spl0_1 ),
    inference(resolution,[],[f71,f104]) ).

fof(f104,plain,
    ( ! [X0] :
        ( ~ b_holds(key(X0,a))
        | ~ intruder_message(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( b_holds(key(X0,X1))
      | ~ b_stored(pair(X1,X2))
      | ~ message(sent(X1,b,pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( b_holds(key(X0,X1))
      | ~ b_stored(pair(X1,X2))
      | ~ message(sent(X1,b,pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( b_holds(key(X0,X1))
      | ~ b_stored(pair(X1,X2))
      | ~ message(sent(X1,b,pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( b_stored(pair(X1,X2))
        & message(sent(X1,b,pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))) )
     => b_holds(key(X0,X1)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X3,X4] :
      ( ( b_stored(pair(X3,X4))
        & message(sent(X3,b,pair(encrypt(triple(X3,X1,generate_expiration_time(X4)),bt),encrypt(generate_b_nonce(X4),X1)))) )
     => b_holds(key(X1,X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',b_accepts_secure_session_key) ).

fof(f151,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f144,f68]) ).

fof(f144,plain,
    ( ~ fresh_to_b(an_a_nonce)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_6
  <=> fresh_to_b(an_a_nonce) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f145,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f135,f142,f138]) ).

fof(f135,plain,
    ( ~ fresh_to_b(an_a_nonce)
    | b_stored(pair(a,an_a_nonce)) ),
    inference(resolution,[],[f70,f63]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ message(sent(X0,b,pair(X0,X1)))
      | ~ fresh_to_b(X1)
      | b_stored(pair(X0,X1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f134,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f129]) ).

fof(f129,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f127,f62]) ).

fof(f127,plain,
    ( ! [X0] : ~ party_of_protocol(X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl0_4
  <=> ! [X0] : ~ party_of_protocol(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f128,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f121,f126,f123]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ party_of_protocol(X0)
      | intruder_message(encrypt(X1,X2))
      | ~ intruder_message(X1)
      | ~ intruder_message(X2) ),
    inference(duplicate_literal_removal,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ party_of_protocol(X0)
      | intruder_message(encrypt(X1,X2))
      | ~ intruder_message(X1)
      | ~ party_of_protocol(X0)
      | ~ intruder_message(X2) ),
    inference(resolution,[],[f92,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X0,X1))
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X0,X1))
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X0,X1))
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( party_of_protocol(X1)
        & intruder_message(X0) )
     => intruder_holds(key(X0,X1)) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X2] :
      ( ( party_of_protocol(X2)
        & intruder_message(X1) )
     => intruder_holds(key(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_holds_key) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_holds(key(X1,X2))
      | ~ party_of_protocol(X2)
      | intruder_message(encrypt(X0,X1))
      | ~ intruder_message(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( intruder_message(encrypt(X0,X1))
      | ~ party_of_protocol(X2)
      | ~ intruder_holds(key(X1,X2))
      | ~ intruder_message(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( intruder_message(encrypt(X0,X1))
      | ~ party_of_protocol(X2)
      | ~ intruder_holds(key(X1,X2))
      | ~ intruder_message(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( ( party_of_protocol(X2)
        & intruder_holds(key(X1,X2))
        & intruder_message(X0) )
     => intruder_message(encrypt(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',intruder_key_encrypts) ).

fof(f111,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f108,f67]) ).

fof(f67,plain,
    party_of_protocol(b),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    party_of_protocol(b),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',b_is_party_of_protocol) ).

fof(f108,plain,
    ( ~ party_of_protocol(b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f109,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f101,f106,f103]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ party_of_protocol(b)
      | ~ intruder_message(X0)
      | ~ b_holds(key(X0,a)) ),
    inference(resolution,[],[f91,f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ intruder_holds(key(X0,b))
      | ~ b_holds(key(X0,a)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ intruder_holds(key(X0,b)) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ? [X0] :
        ( b_holds(key(X0,a))
        & intruder_holds(key(X0,b)) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ? [X0] :
      ( b_holds(key(X0,a))
      & intruder_holds(key(X0,b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV014+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:05:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.AmTrbzm3vX/Vampire---4.8_26292
% 0.59/0.75  % (26467)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75  % (26469)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (26468)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75  % (26473)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75  % (26470)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75  % (26471)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75  % (26472)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75  % (26474)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75  % (26467)Refutation not found, incomplete strategy% (26467)------------------------------
% 0.59/0.75  % (26467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26467)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26467)Memory used [KB]: 973
% 0.59/0.75  % (26467)Time elapsed: 0.002 s
% 0.59/0.75  % (26467)Instructions burned: 2 (million)
% 0.59/0.75  % (26467)------------------------------
% 0.59/0.75  % (26467)------------------------------
% 0.59/0.75  % (26474)Refutation not found, incomplete strategy% (26474)------------------------------
% 0.59/0.75  % (26474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26474)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26470)Refutation not found, incomplete strategy% (26470)------------------------------
% 0.59/0.75  % (26470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26470)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26470)Memory used [KB]: 971
% 0.59/0.75  % (26470)Time elapsed: 0.003 s
% 0.59/0.75  % (26470)Instructions burned: 2 (million)
% 0.59/0.75  % (26472)Refutation not found, incomplete strategy% (26472)------------------------------
% 0.59/0.75  % (26472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26474)Memory used [KB]: 959
% 0.59/0.75  % (26474)Time elapsed: 0.003 s
% 0.59/0.75  % (26474)Instructions burned: 2 (million)
% 0.59/0.75  % (26472)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26472)Memory used [KB]: 959
% 0.59/0.75  % (26472)Time elapsed: 0.003 s
% 0.59/0.75  % (26472)Instructions burned: 2 (million)
% 0.59/0.75  % (26470)------------------------------
% 0.59/0.75  % (26470)------------------------------
% 0.59/0.75  % (26474)------------------------------
% 0.59/0.75  % (26474)------------------------------
% 0.59/0.75  % (26471)Refutation not found, incomplete strategy% (26471)------------------------------
% 0.59/0.75  % (26471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26471)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26471)Memory used [KB]: 967
% 0.59/0.75  % (26471)Time elapsed: 0.003 s
% 0.59/0.75  % (26472)------------------------------
% 0.59/0.75  % (26472)------------------------------
% 0.59/0.75  % (26471)Instructions burned: 3 (million)
% 0.59/0.75  % (26473)Refutation not found, incomplete strategy% (26473)------------------------------
% 0.59/0.75  % (26473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (26473)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26473)Memory used [KB]: 967
% 0.59/0.75  % (26473)Time elapsed: 0.003 s
% 0.59/0.75  % (26473)Instructions burned: 4 (million)
% 0.59/0.75  % (26471)------------------------------
% 0.59/0.75  % (26471)------------------------------
% 0.59/0.75  % (26473)------------------------------
% 0.59/0.75  % (26473)------------------------------
% 0.59/0.75  % (26475)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75  % (26468)First to succeed.
% 0.59/0.76  % (26476)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.76  % (26477)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.76  % (26469)Also succeeded, but the first one will report.
% 0.59/0.76  % (26468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26459"
% 0.59/0.76  % (26479)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.76  % (26480)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.76  % (26468)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Theorem for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (26468)------------------------------
% 0.59/0.76  % (26468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26468)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (26468)Memory used [KB]: 1093
% 0.59/0.76  % (26468)Time elapsed: 0.007 s
% 0.59/0.76  % (26468)Instructions burned: 8 (million)
% 0.59/0.76  % (26459)Success in time 0.391 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------