↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV014-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:57:56 AM UTC 2026

% Result   : Unsatisfiable 6.44s 8.63s
% Output   : Refutation 6.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   69 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  155 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  666 (  88   ~;  86   |;   0   &; 492   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  25 usr;   7 con; 0-4 aty)
%            Number of variables   :  150 (   0   ^; 150   !;   0   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_holds_decl,type,
    b_holds: $i > $o ).

thf(key_decl,type,
    key: $i > $i > $i ).

thf(a_decl,type,
    a: $i ).

thf(intruder_holds_decl,type,
    intruder_holds: $i > $o ).

thf(b_decl,type,
    b: $i ).

thf(intruder_message_decl,type,
    intruder_message: $i > $o ).

thf(pair_decl,type,
    pair: $i > $i > $i ).

thf(triple_decl,type,
    triple: $i > $i > $i > $i ).

thf(quadruple_decl,type,
    quadruple: $i > $i > $i > $i > $i ).

thf(message_decl,type,
    message: $i > $o ).

thf(sent_decl,type,
    sent: $i > $i > $i > $i ).

thf(party_of_protocol_decl,type,
    party_of_protocol: $i > $o ).

thf(a_nonce_decl,type,
    a_nonce: $i > $o ).

thf(an_a_nonce_decl,type,
    an_a_nonce: $i ).

thf(generate_expiration_time_decl,type,
    generate_expiration_time: $i > $i ).

thf(fresh_to_b_decl,type,
    fresh_to_b: $i > $o ).

thf(generate_b_nonce_decl,type,
    generate_b_nonce: $i > $i ).

thf(t_decl,type,
    t: $i ).

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

thf(generate_key_decl,type,
    generate_key: $i > $i ).

thf(t_holds_decl,type,
    t_holds: $i > $o ).

thf(b_stored_decl,type,
    b_stored: $i > $o ).

thf(a_stored_decl,type,
    a_stored: $i > $o ).

thf(at_decl,type,
    at: $i ).

thf(bt_decl,type,
    bt: $i ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ pair ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_pairs_18) ).

thf(37,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ pair ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(30,axiom,
    b @ party_of_protocol,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_party_of_protocol_8) ).

thf(84,plain,
    b @ party_of_protocol,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(23,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( F @ key ) @ t_holds )
      | ~ ( A @ ( E @ key ) @ t_holds )
      | ~ ( F @ ( D @ ( C @ ( A @ triple ) ) @ encrypt ) @ ( G @ ( B @ triple ) ) @ ( t @ ( B @ sent ) ) @ message )
      | ~ ( C @ a_nonce )
      | ( G @ ( F @ ( D @ ( C @ generate_key @ ( A @ triple ) ) @ encrypt ) @ ( E @ ( D @ ( C @ generate_key @ ( C @ ( B @ quadruple ) ) ) @ encrypt ) @ triple ) ) @ ( A @ ( t @ sent ) ) @ message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',server_t_generates_key_16) ).

thf(74,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( F @ key ) @ t_holds )
      | ~ ( A @ ( E @ key ) @ t_holds )
      | ~ ( F @ ( D @ ( C @ ( A @ triple ) ) @ encrypt ) @ ( G @ ( B @ triple ) ) @ ( t @ ( B @ sent ) ) @ message )
      | ~ ( C @ a_nonce )
      | ( G @ ( F @ ( D @ ( C @ generate_key @ ( A @ triple ) ) @ encrypt ) @ ( E @ ( D @ ( C @ generate_key @ ( C @ ( B @ quadruple ) ) ) @ encrypt ) @ triple ) ) @ ( A @ ( t @ sent ) ) @ message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(21,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ party_of_protocol )
      | ~ ( A @ intruder_message )
      | ~ ( C @ ( B @ key ) @ intruder_holds )
      | ( B @ ( A @ encrypt ) @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_key_encrypts_33) ).

thf(70,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ party_of_protocol )
      | ~ ( A @ intruder_message )
      | ~ ( C @ ( B @ key ) @ intruder_holds )
      | ( B @ ( A @ encrypt ) @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(17,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( A @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_quadruples_24) ).

thf(65,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( A @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ party_of_protocol )
      | ~ ( B @ party_of_protocol )
      | ~ ( C @ intruder_message )
      | ( C @ ( B @ ( A @ sent ) ) @ message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_message_sent_31) ).

thf(53,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ party_of_protocol )
      | ~ ( B @ party_of_protocol )
      | ~ ( C @ intruder_message )
      | ( C @ ( B @ ( A @ sent ) ) @ message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(4,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ ( B @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_triples_21) ).

thf(41,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( A @ ( B @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(13,axiom,
    an_a_nonce @ a_nonce,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_a_nonce_is_a_nonce_34) ).

thf(59,plain,
    an_a_nonce @ a_nonce,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ~ ( b @ ( A @ key ) @ intruder_holds )
      | ~ ( a @ ( A @ key ) @ b_holds ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).

thf(35,plain,
    ! [A: $i] :
      ( ~ ( b @ ( A @ key ) @ intruder_holds )
      | ~ ( a @ ( A @ key ) @ b_holds ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(18,axiom,
    an_a_nonce @ fresh_to_b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b_9) ).

thf(67,plain,
    an_a_nonce @ fresh_to_b,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(11,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ~ ( C @ intruder_message )
      | ( C @ ( B @ ( A @ triple ) ) @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_composes_triples_28) ).

thf(55,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ~ ( C @ intruder_message )
      | ( C @ ( B @ ( A @ triple ) ) @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(28,axiom,
    an_a_nonce @ ( a @ pair ) @ ( b @ ( a @ sent ) ) @ message,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_sent_message_i_to_b_3) ).

thf(82,plain,
    an_a_nonce @ ( a @ pair ) @ ( b @ ( a @ sent ) ) @ message,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ pair ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_pairs_19) ).

thf(51,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ pair ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(26,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( at @ ( F @ ( D @ ( E @ ( A @ quadruple ) ) ) @ encrypt ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ message )
      | ~ ( E @ ( A @ pair ) @ a_stored )
      | ( D @ ( C @ encrypt ) @ ( B @ pair ) @ ( A @ ( a @ sent ) ) @ message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_forwards_secure_5) ).

thf(79,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( at @ ( F @ ( D @ ( E @ ( A @ quadruple ) ) ) @ encrypt ) @ triple ) ) @ ( a @ ( t @ sent ) ) @ message )
      | ~ ( E @ ( A @ pair ) @ a_stored )
      | ( D @ ( C @ encrypt ) @ ( B @ pair ) @ ( A @ ( a @ sent ) ) @ message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(20,axiom,
    t @ party_of_protocol,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_is_party_of_protocol_15) ).

thf(69,plain,
    t @ party_of_protocol,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(33,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ party_of_protocol )
      | ~ ( A @ intruder_message )
      | ( B @ ( A @ key ) @ intruder_holds ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_holds_key_32) ).

thf(88,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ party_of_protocol )
      | ~ ( A @ intruder_message )
      | ( B @ ( A @ key ) @ intruder_holds ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(12,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( B @ ( A @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_quadruples_23) ).

thf(57,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( B @ ( A @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(25,axiom,
    an_a_nonce @ ( b @ pair ) @ a_stored,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_stored_message_i_4) ).

thf(78,plain,
    an_a_nonce @ ( b @ pair ) @ a_stored,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( A @ ( C @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_quadruples_25) ).

thf(60,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( A @ ( C @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(31,axiom,
    a @ ( at @ key ) @ t_holds,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_at_for_a_13) ).

thf(85,plain,
    a @ ( at @ key ) @ t_holds,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(6,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( D @ ( C @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_quadruples_26) ).

thf(45,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( D @ ( C @ ( B @ quadruple ) ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(16,axiom,
    ! [A: $i] : ( A @ generate_expiration_time @ a_nonce ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',generated_times_and_nonces_are_nonces_36) ).

thf(64,plain,
    ! [A: $i] : ( A @ generate_expiration_time @ a_nonce ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(8,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ~ ( C @ intruder_message )
      | ~ ( D @ intruder_message )
      | ( D @ ( C @ ( B @ ( A @ quadruple ) ) ) @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_composes_quadruples_29) ).

thf(49,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ~ ( C @ intruder_message )
      | ~ ( D @ intruder_message )
      | ( D @ ( C @ ( B @ ( A @ quadruple ) ) ) @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(32,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ generate_b_nonce @ encrypt ) @ ( bt @ ( C @ generate_expiration_time @ ( A @ ( B @ triple ) ) @ encrypt ) @ pair ) @ ( b @ ( B @ sent ) ) @ message )
      | ~ ( C @ ( B @ pair ) @ b_stored )
      | ( B @ ( A @ key ) @ b_holds ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_accepts_secure_session_key_12) ).

thf(86,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ generate_b_nonce @ encrypt ) @ ( bt @ ( C @ generate_expiration_time @ ( A @ ( B @ triple ) ) @ encrypt ) @ pair ) @ ( b @ ( B @ sent ) ) @ message )
      | ~ ( C @ ( B @ pair ) @ b_stored )
      | ( B @ ( A @ key ) @ b_holds ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(27,axiom,
    b @ ( bt @ key ) @ t_holds,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_bt_for_b_14) ).

thf(81,plain,
    b @ ( bt @ key ) @ t_holds,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(24,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ message )
      | ~ ( B @ fresh_to_b )
      | ( B @ ( A @ pair ) @ b_stored ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_11) ).

thf(76,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ pair ) @ ( b @ ( A @ sent ) ) @ message )
      | ~ ( B @ fresh_to_b )
      | ( B @ ( A @ pair ) @ b_stored ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(3,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_triples_22) ).

thf(39,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ party_of_protocol )
      | ~ ( A @ ( C @ encrypt ) @ intruder_message )
      | ~ ( B @ ( A @ key ) @ intruder_holds )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_interception_30) ).

thf(72,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ party_of_protocol )
      | ~ ( A @ ( C @ encrypt ) @ intruder_message )
      | ~ ( B @ ( A @ key ) @ intruder_holds )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_decomposes_triples_20) ).

thf(43,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ triple ) ) @ intruder_message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ sent ) ) @ message )
      | ( A @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_can_record_17) ).

thf(47,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ sent ) ) @ message )
      | ( A @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(19,axiom,
    ! [A: $i] : ( A @ generate_b_nonce @ a_nonce ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',generated_times_and_nonces_are_nonces_37) ).

thf(68,plain,
    ! [A: $i] : ( A @ generate_b_nonce @ a_nonce ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(15,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ( B @ ( A @ pair ) @ intruder_message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_composes_pairs_27) ).

thf(62,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ intruder_message )
      | ~ ( B @ intruder_message )
      | ( B @ ( A @ pair ) @ intruder_message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(34,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ pair ) @ ( b @ ( B @ sent ) ) @ message )
      | ~ ( A @ fresh_to_b )
      | ( bt @ ( A @ generate_expiration_time @ ( A @ ( B @ triple ) ) @ encrypt ) @ ( A @ generate_b_nonce @ ( b @ triple ) ) @ ( t @ ( b @ sent ) ) @ message ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_10) ).

thf(90,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ pair ) @ ( b @ ( B @ sent ) ) @ message )
      | ~ ( A @ fresh_to_b )
      | ( bt @ ( A @ generate_expiration_time @ ( A @ ( B @ triple ) ) @ encrypt ) @ ( A @ generate_b_nonce @ ( b @ triple ) ) @ ( t @ ( b @ sent ) ) @ message ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(29,axiom,
    a @ party_of_protocol,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_party_of_protocol_2) ).

thf(83,plain,
    a @ party_of_protocol,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(92,plain,
    $false,
    inference(e,[status(thm)],[37,84,74,70,65,53,41,59,35,67,55,82,51,79,69,88,57,78,60,85,45,64,49,86,81,76,39,72,43,47,68,62,90,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.09  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/5.43  % Computer : n020.cluster.edu
% 0.16/5.43  % Model    : x86_64 x86_64
% 0.16/5.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43  % Memory   : 8046.5625MB
% 0.16/5.43  % OS       : Linux 6.8.0-71-generic
% 0.16/5.43  % CPULimit : 300
% 0.16/5.43  % WCLimit  : 300
% 0.16/5.43  % DateTime : Sat Sep 26 13:06:40 UTC 2026
% 0.16/5.43  % CPUTime  : 
% 0.16/5.43  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.44/6.32  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.96/6.64  % [INFO] 	 Parsing done (313ms). 
% 1.96/6.66  % [INFO] 	 Running in sequential loop mode. 
% 3.07/7.27  % [INFO] 	 eprover registered as external prover. 
% 3.07/7.29  % [INFO] 	 Scanning for conjecture ... 
% 3.45/7.43  % [INFO] 	 Found a conjecture (or negated_conjecture) and 33 axioms. Running axiom selection ... 
% 3.62/7.55  % [INFO] 	 Axiom selection finished. Selected 33 axioms (removed 0 axioms). 
% 3.84/7.62  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.84/7.63  % [INFO] 	 Type checking passed. 
% 3.84/7.64  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.44/8.62  % External prover 'e' found a proof!
% 6.44/8.62  % [INFO] 	 Killing All external provers ... 
% 6.44/8.62  % Time passed: 2972ms (effective reasoning time: 1954ms)
% 6.44/8.63  % Axioms used in derivation (33): nonce_a_is_fresh_to_b_9, b_accepts_secure_session_key_12, intruder_decomposes_quadruples_25, t_holds_key_at_for_a_13, b_creates_freash_nonces_in_time_11, intruder_decomposes_pairs_19, intruder_holds_key_32, intruder_interception_30, intruder_composes_quadruples_29, b_creates_freash_nonces_in_time_10, a_forwards_secure_5, a_stored_message_i_4, an_a_nonce_is_a_nonce_34, intruder_decomposes_pairs_18, intruder_can_record_17, intruder_composes_triples_28, intruder_decomposes_quadruples_23, server_t_generates_key_16, intruder_decomposes_triples_22, b_is_party_of_protocol_8, a_is_party_of_protocol_2, intruder_composes_pairs_27, intruder_decomposes_triples_21, intruder_decomposes_quadruples_24, a_sent_message_i_to_b_3, generated_times_and_nonces_are_nonces_36, t_is_party_of_protocol_15, generated_times_and_nonces_are_nonces_37, intruder_decomposes_triples_20, intruder_message_sent_31, t_holds_key_bt_for_b_14, intruder_key_encrypts_33, intruder_decomposes_quadruples_26
% 6.44/8.63  % No. of inferences in proof: 69
% 6.44/8.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2972 ms resp. 1954 ms w/o parsing
% 6.75/8.74  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.75/8.74  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------