TSTP Solution File: SWV014+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV014+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.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 : Wed Aug 31 18:55:14 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (  18 unt;   0 def)
%            Number of atoms       :  273 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  291 ( 122   ~; 111   |;  35   &)
%                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   13 (  12 usr;   5 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  152 ( 150   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f294,plain,
    $false,
    inference(avatar_sat_refutation,[],[f137,f149,f269,f288,f293]) ).

fof(f293,plain,
    ~ spl2_12,
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f291,f125]) ).

fof(f125,plain,
    intruder_message(an_a_nonce),
    inference(resolution,[],[f124,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ intruder_message(pair(X0,X1))
      | intruder_message(X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( intruder_message(X1)
        & intruder_message(X0) )
      | ~ intruder_message(pair(X0,X1)) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0] :
      ( ( intruder_message(X0)
        & intruder_message(X1) )
      | ~ intruder_message(pair(X1,X0)) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X1,X0))
     => ( intruder_message(X0)
        & intruder_message(X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( intruder_message(pair(X0,X1))
     => ( intruder_message(X1)
        & intruder_message(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_pairs) ).

fof(f124,plain,
    intruder_message(pair(a,an_a_nonce)),
    inference(resolution,[],[f116,f105]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ message(sent(X2,X1,X0))
      | intruder_message(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( intruder_message(X0)
      | ~ message(sent(X2,X1,X0)) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X1,X2,X0] :
      ( intruder_message(X1)
      | ~ message(sent(X0,X2,X1)) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( message(sent(X0,X2,X1))
     => intruder_message(X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X2,X1] :
      ( message(sent(X0,X1,X2))
     => intruder_message(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_can_record) ).

fof(f116,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/benchmark/theBenchmark.p',a_sent_message_i_to_b) ).

fof(f291,plain,
    ( ~ intruder_message(an_a_nonce)
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f290,f87]) ).

fof(f87,plain,
    party_of_protocol(b),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    party_of_protocol(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_party_of_protocol) ).

fof(f290,plain,
    ( ~ party_of_protocol(b)
    | ~ intruder_message(an_a_nonce)
    | ~ spl2_12 ),
    inference(resolution,[],[f289,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X1,X0))
      | ~ intruder_message(X1)
      | ~ party_of_protocol(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X1,X0))
      | ~ intruder_message(X1)
      | ~ party_of_protocol(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( intruder_holds(key(X1,X0))
      | ~ intruder_message(X1)
      | ~ party_of_protocol(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( intruder_message(X1)
        & party_of_protocol(X0) )
     => intruder_holds(key(X1,X0)) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X2,X1] :
      ( ( party_of_protocol(X2)
        & intruder_message(X1) )
     => intruder_holds(key(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_holds_key) ).

fof(f289,plain,
    ( ~ intruder_holds(key(an_a_nonce,b))
    | ~ spl2_12 ),
    inference(resolution,[],[f264,f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ intruder_holds(key(X0,b)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ intruder_holds(key(X0,b)) ),
    inference(ennf_transformation,[],[f30]) ).

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

fof(f29,conjecture,
    ? [X0] :
      ( intruder_holds(key(X0,b))
      & b_holds(key(X0,a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f264,plain,
    ( b_holds(key(an_a_nonce,a))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl2_12
  <=> b_holds(key(an_a_nonce,a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f288,plain,
    ( ~ spl2_1
    | spl2_13 ),
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | ~ spl2_1
    | spl2_13 ),
    inference(subsumption_resolution,[],[f286,f125]) ).

fof(f286,plain,
    ( ~ intruder_message(an_a_nonce)
    | ~ spl2_1
    | spl2_13 ),
    inference(resolution,[],[f285,f133]) ).

fof(f133,plain,
    ( ! [X0] :
        ( ~ sP0(X0)
        | ~ intruder_message(X0) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl2_1
  <=> ! [X0] :
        ( ~ intruder_message(X0)
        | ~ sP0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f285,plain,
    ( sP0(an_a_nonce)
    | spl2_13 ),
    inference(subsumption_resolution,[],[f284,f203]) ).

fof(f203,plain,
    intruder_message(generate_b_nonce(an_a_nonce)),
    inference(resolution,[],[f201,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(triple(X1,X2,X0))
      | intruder_message(X2) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ intruder_message(triple(X1,X2,X0))
      | ( intruder_message(X0)
        & intruder_message(X2)
        & intruder_message(X1) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X2,X1,X0] :
      ( ~ intruder_message(triple(X1,X0,X2))
      | ( intruder_message(X2)
        & intruder_message(X0)
        & intruder_message(X1) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X1,X2,X0] :
      ( intruder_message(triple(X1,X0,X2))
     => ( intruder_message(X2)
        & intruder_message(X0)
        & intruder_message(X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0,X2] :
      ( intruder_message(triple(X0,X1,X2))
     => ( intruder_message(X1)
        & intruder_message(X0)
        & intruder_message(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples) ).

fof(f201,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,[],[f199,f105]) ).

fof(f199,plain,
    message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),
    inference(subsumption_resolution,[],[f196,f106]) ).

fof(f106,plain,
    fresh_to_b(an_a_nonce),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b) ).

fof(f196,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
    | ~ fresh_to_b(an_a_nonce) ),
    inference(resolution,[],[f96,f116]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ message(sent(X0,b,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) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ message(sent(X0,b,pair(X0,X1)))
      | ~ fresh_to_b(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)))) ) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X1,X0] :
      ( ~ message(sent(X1,b,pair(X1,X0)))
      | ~ fresh_to_b(X0)
      | ( b_stored(pair(X1,X0))
        & message(sent(b,t,triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt)))) ) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( b_stored(pair(X1,X0))
        & message(sent(b,t,triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt)))) )
      | ~ message(sent(X1,b,pair(X1,X0)))
      | ~ fresh_to_b(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( message(sent(X1,b,pair(X1,X0)))
        & fresh_to_b(X0) )
     => ( b_stored(pair(X1,X0))
        & message(sent(b,t,triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt)))) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ( message(sent(X0,b,pair(X0,X1)))
        & fresh_to_b(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/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time) ).

fof(f284,plain,
    ( ~ intruder_message(generate_b_nonce(an_a_nonce))
    | sP0(an_a_nonce)
    | spl2_13 ),
    inference(resolution,[],[f268,f120]) ).

fof(f120,plain,
    ! [X2,X0] :
      ( intruder_message(encrypt(X2,X0))
      | ~ intruder_message(X2)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f120_D]) ).

fof(f120_D,plain,
    ! [X0] :
      ( ! [X2] :
          ( intruder_message(encrypt(X2,X0))
          | ~ intruder_message(X2) )
    <=> ~ sP0(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f268,plain,
    ( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl2_13
  <=> intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f269,plain,
    ( spl2_12
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f260,f266,f262]) ).

fof(f260,plain,
    ( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
    | b_holds(key(an_a_nonce,a)) ),
    inference(subsumption_resolution,[],[f259,f94]) ).

fof(f94,plain,
    party_of_protocol(a),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    party_of_protocol(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_party_of_protocol) ).

fof(f259,plain,
    ( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
    | ~ party_of_protocol(a)
    | b_holds(key(an_a_nonce,a)) ),
    inference(subsumption_resolution,[],[f245,f191]) ).

fof(f191,plain,
    b_stored(pair(a,an_a_nonce)),
    inference(subsumption_resolution,[],[f188,f106]) ).

fof(f188,plain,
    ( b_stored(pair(a,an_a_nonce))
    | ~ fresh_to_b(an_a_nonce) ),
    inference(resolution,[],[f97,f116]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ message(sent(X0,b,pair(X0,X1)))
      | ~ fresh_to_b(X1)
      | b_stored(pair(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f245,plain,
    ( ~ b_stored(pair(a,an_a_nonce))
    | b_holds(key(an_a_nonce,a))
    | ~ party_of_protocol(a)
    | ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)) ),
    inference(resolution,[],[f244,f202]) ).

fof(f202,plain,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
    inference(resolution,[],[f201,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(triple(X1,X2,X0))
      | intruder_message(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt))
      | ~ b_stored(pair(X0,X1))
      | ~ intruder_message(encrypt(generate_b_nonce(X1),X2))
      | b_holds(key(X2,X0))
      | ~ party_of_protocol(X0) ),
    inference(resolution,[],[f243,f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X1,X0))
      | ~ intruder_message(X0)
      | ~ intruder_message(X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( intruder_message(pair(X1,X0))
      | ~ intruder_message(X1)
      | ~ intruder_message(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( intruder_message(pair(X1,X0))
      | ~ intruder_message(X1)
      | ~ intruder_message(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ( intruder_message(X1)
        & intruder_message(X0) )
     => intruder_message(pair(X1,X0)) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X1,X0] :
      ( ( intruder_message(X1)
        & intruder_message(X0) )
     => intruder_message(pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_pairs) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))
      | ~ party_of_protocol(X1)
      | ~ b_stored(pair(X1,X2))
      | b_holds(key(X0,X1)) ),
    inference(subsumption_resolution,[],[f242,f87]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_message(pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))
      | ~ party_of_protocol(X1)
      | ~ party_of_protocol(b)
      | b_holds(key(X0,X1))
      | ~ b_stored(pair(X1,X2)) ),
    inference(resolution,[],[f113,f103]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( message(sent(X1,X0,X2))
      | ~ party_of_protocol(X0)
      | ~ intruder_message(X2)
      | ~ party_of_protocol(X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ party_of_protocol(X1)
      | ~ intruder_message(X2)
      | message(sent(X1,X0,X2))
      | ~ party_of_protocol(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0,X2,X1] :
      ( message(sent(X1,X0,X2))
      | ~ party_of_protocol(X1)
      | ~ party_of_protocol(X0)
      | ~ intruder_message(X2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X2,X1] :
      ( ( party_of_protocol(X1)
        & party_of_protocol(X0)
        & intruder_message(X2) )
     => message(sent(X1,X0,X2)) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X2,X1,X0] :
      ( ( party_of_protocol(X2)
        & intruder_message(X0)
        & party_of_protocol(X1) )
     => message(sent(X1,X2,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_message_sent) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( ~ message(sent(X2,b,pair(encrypt(triple(X2,X0,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X0))))
      | b_holds(key(X0,X2))
      | ~ b_stored(pair(X2,X1)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( b_holds(key(X0,X2))
      | ~ message(sent(X2,b,pair(encrypt(triple(X2,X0,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X0))))
      | ~ b_stored(pair(X2,X1)) ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ! [X2,X1,X0] :
      ( b_holds(key(X2,X0))
      | ~ message(sent(X0,b,pair(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X2))))
      | ~ b_stored(pair(X0,X1)) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X2,X1] :
      ( b_holds(key(X2,X0))
      | ~ b_stored(pair(X0,X1))
      | ~ message(sent(X0,b,pair(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X2)))) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X2,X1] :
      ( ( b_stored(pair(X0,X1))
        & message(sent(X0,b,pair(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X2)))) )
     => b_holds(key(X2,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3,X4,X1] :
      ( ( 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/benchmark/theBenchmark.p',b_accepts_secure_session_key) ).

fof(f149,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f146,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f94,f136]) ).

fof(f136,plain,
    ( ! [X1] : ~ party_of_protocol(X1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl2_2
  <=> ! [X1] : ~ party_of_protocol(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f137,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f130,f135,f132]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ party_of_protocol(X1)
      | ~ intruder_message(X0)
      | ~ sP0(X0) ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ sP0(X0)
      | ~ party_of_protocol(X1)
      | ~ intruder_message(X0)
      | ~ party_of_protocol(X1) ),
    inference(resolution,[],[f121,f111]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ intruder_holds(key(X0,X1))
      | ~ sP0(X0)
      | ~ party_of_protocol(X1) ),
    inference(general_splitting,[],[f112,f120_D]) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( ~ intruder_holds(key(X0,X1))
      | ~ intruder_message(X2)
      | intruder_message(encrypt(X2,X0))
      | ~ party_of_protocol(X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ~ intruder_holds(key(X0,X1))
      | ~ intruder_message(X2)
      | intruder_message(encrypt(X2,X0))
      | ~ party_of_protocol(X1) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X2,X1] :
      ( intruder_message(encrypt(X2,X0))
      | ~ intruder_holds(key(X0,X1))
      | ~ intruder_message(X2)
      | ~ party_of_protocol(X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X2,X1] :
      ( ( intruder_holds(key(X0,X1))
        & intruder_message(X2)
        & party_of_protocol(X1) )
     => intruder_message(encrypt(X2,X0)) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X2,X0] :
      ( ( party_of_protocol(X2)
        & intruder_message(X0)
        & intruder_holds(key(X1,X2)) )
     => intruder_message(encrypt(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_key_encrypts) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV014+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:41:01 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (26662)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (26669)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50  % (26669)First to succeed.
% 0.21/0.52  % (26669)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (26669)------------------------------
% 0.21/0.52  % (26669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (26669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (26669)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (26669)Memory used [KB]: 5628
% 0.21/0.52  % (26669)Time elapsed: 0.097 s
% 0.21/0.52  % (26669)Instructions burned: 7 (million)
% 0.21/0.52  % (26669)------------------------------
% 0.21/0.52  % (26669)------------------------------
% 0.21/0.52  % (26652)Success in time 0.154 s
%------------------------------------------------------------------------------