TSTP Solution File: SWV010+1 by Mace4---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Mace4---1109a
% Problem  : SWV010+1 : TPTP v6.4.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : mace4 -t %d -f %s

% Computer : n100.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb  8 10:07:01 EST 2017

% Result   : Satisfiable 0.06s
% Output   : FiniteModel 0.06s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV010+1 : TPTP v6.4.0. Released v2.4.0.
% 0.00/0.04  % Command  : mace4 -t %d -f %s
% 0.02/0.23  % Computer : n100.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Tue Feb  7 22:56:32 CST 2017
% 0.02/0.23  % CPUTime  : 
% 0.06/0.43  % SZS status Satisfiable
% 0.06/0.43  ============================== Mace4 =================================
% 0.06/0.43  Mace4 (32) version 2009-11A, November 2009.
% 0.06/0.43  Process 41386 was started by sandbox2 on n100.star.cs.uiowa.edu,
% 0.06/0.43  Tue Feb  7 22:56:32 2017
% 0.06/0.43  The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_41353_n100.star.cs.uiowa.edu".
% 0.06/0.43  ============================== end of head ===========================
% 0.06/0.43  
% 0.06/0.43  ============================== INPUT =================================
% 0.06/0.43  
% 0.06/0.43  % Reading from file /tmp/Mace4_input_41353_n100.star.cs.uiowa.edu
% 0.06/0.43  
% 0.06/0.43  set(prolog_style_variables).
% 0.06/0.43  set(print_models_tabular).
% 0.06/0.43      % set(print_models_tabular) -> clear(print_models).
% 0.06/0.43  
% 0.06/0.43  formulas(sos).
% 0.06/0.43  a_holds(key(at,t)) # label(a_holds_key_at_for_t) # label(axiom).
% 0.06/0.43  party_of_protocol(a) # label(a_is_party_of_protocol) # label(axiom).
% 0.06/0.43  message(sent(a,b,pair(a,an_a_nonce))) # label(a_sent_message_i_to_b) # label(axiom).
% 0.06/0.43  a_stored(pair(b,an_a_nonce)) # label(a_stored_message_i) # label(axiom).
% 0.06/0.43  (all U all V all W all X all Y all Z (message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) & a_stored(pair(Y,Z)) -> message(sent(a,Y,pair(X,encrypt(U,W)))) & a_holds(key(W,Y)))) # label(a_forwards_secure) # label(axiom).
% 0.06/0.44  b_holds(key(bt,t)) # label(b_hold_key_bt_for_t) # label(axiom).
% 0.06/0.44  party_of_protocol(b) # label(b_is_party_of_protocol) # label(axiom).
% 0.06/0.44  fresh_to_b(an_a_nonce) # label(nonce_a_is_fresh_to_b) # label(axiom).
% 0.06/0.44  (all U all V (message(sent(U,b,pair(U,V))) & fresh_to_b(V) -> message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))) & b_stored(pair(U,V)))) # label(b_creates_freash_nonces_in_time) # label(axiom).
% 0.06/0.44  (all V all X all Y (message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) & b_stored(pair(X,Y)) -> b_holds(key(V,X)))) # label(b_accepts_secure_session_key) # label(axiom).
% 0.06/0.44  t_holds(key(at,a)) # label(t_holds_key_at_for_a) # label(axiom).
% 0.06/0.44  t_holds(key(bt,b)) # label(t_holds_key_bt_for_b) # label(axiom).
% 0.06/0.44  party_of_protocol(t) # label(t_is_party_of_protocol) # label(axiom).
% 0.06/0.44  (all U all V all W all X all Y all Z all X1 (message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z)))) & t_holds(key(Z,U)) & t_holds(key(X1,W)) -> message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))))) # label(server_t_generates_key) # label(axiom).
% 0.06/0.44  end_of_list.
% 0.06/0.44  
% 0.06/0.44  % From the command line: assign(max_seconds, 300).
% 0.06/0.44  
% 0.06/0.44  ============================== end of input ==========================
% 0.06/0.44  
% 0.06/0.44  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.06/0.44  
% 0.06/0.44  % Formulas that are not ordinary clauses:
% 0.06/0.44  1 (all U all V all W all X all Y all Z (message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) & a_stored(pair(Y,Z)) -> message(sent(a,Y,pair(X,encrypt(U,W)))) & a_holds(key(W,Y)))) # label(a_forwards_secure) # label(axiom) # label(non_clause).  [assumption].
% 0.06/0.44  2 (all U all V (message(sent(U,b,pair(U,V))) & fresh_to_b(V) -> message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))) & b_stored(pair(U,V)))) # label(b_creates_freash_nonces_in_time) # label(axiom) # label(non_clause).  [assumption].
% 0.06/0.44  3 (all V all X all Y (message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) & b_stored(pair(X,Y)) -> b_holds(key(V,X)))) # label(b_accepts_secure_session_key) # label(axiom) # label(non_clause).  [assumption].
% 0.06/0.44  4 (all U all V all W all X all Y all Z all X1 (message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z)))) & t_holds(key(Z,U)) & t_holds(key(X1,W)) -> message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))))) # label(server_t_generates_key) # label(axiom) # label(non_clause).  [assumption].
% 0.06/0.44  
% 0.06/0.44  ============================== end of process non-clausal formulas ===
% 0.06/0.44  
% 0.06/0.44  ============================== CLAUSES FOR SEARCH ====================
% 0.06/0.44  
% 0.06/0.44  formulas(mace4_clauses).
% 0.06/0.44  a_holds(key(at,t)) # label(a_holds_key_at_for_t) # label(axiom).
% 0.06/0.44  party_of_protocol(a) # label(a_is_party_of_protocol) # label(axiom).
% 0.06/0.44  message(sent(a,b,pair(a,an_a_nonce))) # label(a_sent_message_i_to_b) # label(axiom).
% 0.06/0.44  a_stored(pair(b,an_a_nonce)) # label(a_stored_message_i) # label(axiom).
% 0.06/0.44  -message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F))) | -a_stored(pair(A,B)) | message(sent(a,A,pair(E,encrypt(F,C)))) # label(a_forwards_secure) # label(axiom).
% 0.06/0.44  -message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F))) | -a_stored(pair(A,B)) | a_holds(key(C,A)) # label(a_forwards_secure) # label(axiom).
% 0.06/0.44  b_holds(key(bt,t)) # label(b_hold_key_bt_for_t) # label(axiom).
% 0.06/0.44  party_of_protocol(b) # label(b_is_party_of_protocol) # label(axiom).
% 0.06/0.44  fresh_to_b(an_a_nonce) # label(nonce_a_is_fresh_to_b) # label(axiom).
% 0.06/0.44  -message(sent(A,b,pair(A,B))) | -fresh_to_b(B) | message(sent(b,t,triple(b,generate_b_nonce(B),encrypt(triple(A,B,generate_expiration_time(B)),bt)))) # label(b_creates_freash_nonces_in_time) # label(axiom).
% 0.06/0.44  -message(sent(A,b,pair(A,B))) | -fresh_to_b(B) | b_stored(pair(A,B)) # label(b_creates_freash_nonces_in_time) # label(axiom).
% 0.06/0.44  -message(sent(A,b,pair(encrypt(triple(A,B,generate_expiration_time(C)),bt),encrypt(generate_b_nonce(C),B)))) | -b_stored(pair(A,C)) | b_holds(key(B,A)) # label(b_accepts_secure_session_key) # label(axiom).
% 0.06/0.44  t_holds(key(at,a)) # label(t_holds_key_at_for_a) # label(axiom).
% 0.06/0.44  t_holds(key(bt,b)) # label(t_holds_key_bt_for_b) # label(axiom).
% 0.06/0.44  party_of_protocol(t) # label(t_is_party_of_protocol) # label(axiom).
% 0.06/0.44  -message(sent(A,t,triple(A,B,encrypt(triple(C,D,E),F)))) | -t_holds(key(F,A)) | -t_holds(key(V6,C)) | message(sent(t,C,triple(encrypt(quadruple(A,D,generate_key(D),E),V6),encrypt(triple(C,generate_key(D),E),F),B))) # label(server_t_generates_key) # label(axiom).
% 0.06/0.44  end_of_list.
% 0.06/0.44  
% 0.06/0.44  ============================== end of clauses for search =============
% 0.06/0.44  % SZS output start FiniteModel
% 0.06/0.44  
% 0.06/0.44  % There are no natural numbers in the input.
% 0.06/0.44  
% 0.06/0.44   a : 0
% 0.06/0.44  
% 0.06/0.44   an_a_nonce : 0
% 0.06/0.44  
% 0.06/0.44   at : 0
% 0.06/0.44  
% 0.06/0.44   b : 0
% 0.06/0.44  
% 0.06/0.44   bt : 0
% 0.06/0.44  
% 0.06/0.44   t : 0
% 0.06/0.44  
% 0.06/0.44   generate_b_nonce :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          0 0
% 0.06/0.44  
% 0.06/0.44   generate_expiration_time :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          0 0
% 0.06/0.44  
% 0.06/0.44   generate_key :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          0 0
% 0.06/0.44  
% 0.06/0.44   encrypt :
% 0.06/0.44        | 0 1
% 0.06/0.44      --+----
% 0.06/0.44      0 | 0 0
% 0.06/0.44      1 | 0 0
% 0.06/0.44  
% 0.06/0.44   key :
% 0.06/0.44        | 0 1
% 0.06/0.44      --+----
% 0.06/0.44      0 | 0 0
% 0.06/0.44      1 | 0 0
% 0.06/0.44  
% 0.06/0.44   pair :
% 0.06/0.44        | 0 1
% 0.06/0.44      --+----
% 0.06/0.44      0 | 0 0
% 0.06/0.44      1 | 0 0
% 0.06/0.44  sent(0,0,0) = 0.
% 0.06/0.44  sent(0,0,1) = 0.
% 0.06/0.44  sent(0,1,0) = 0.
% 0.06/0.44  sent(0,1,1) = 0.
% 0.06/0.44  sent(1,0,0) = 0.
% 0.06/0.44  sent(1,0,1) = 0.
% 0.06/0.44  sent(1,1,0) = 0.
% 0.06/0.44  sent(1,1,1) = 0.
% 0.06/0.44  triple(0,0,0) = 0.
% 0.06/0.44  triple(0,0,1) = 0.
% 0.06/0.44  triple(0,1,0) = 0.
% 0.06/0.44  triple(0,1,1) = 0.
% 0.06/0.44  triple(1,0,0) = 0.
% 0.06/0.44  triple(1,0,1) = 0.
% 0.06/0.44  triple(1,1,0) = 0.
% 0.06/0.44  triple(1,1,1) = 0.
% 0.06/0.44  quadruple(0,0,0,0) = 0.
% 0.06/0.44  quadruple(0,0,0,1) = 0.
% 0.06/0.44  quadruple(0,0,1,0) = 0.
% 0.06/0.44  quadruple(0,0,1,1) = 0.
% 0.06/0.44  quadruple(0,1,0,0) = 0.
% 0.06/0.44  quadruple(0,1,0,1) = 0.
% 0.06/0.44  quadruple(0,1,1,0) = 0.
% 0.06/0.44  quadruple(0,1,1,1) = 0.
% 0.06/0.44  quadruple(1,0,0,0) = 0.
% 0.06/0.44  quadruple(1,0,0,1) = 0.
% 0.06/0.44  quadruple(1,0,1,0) = 0.
% 0.06/0.44  quadruple(1,0,1,1) = 0.
% 0.06/0.44  quadruple(1,1,0,0) = 0.
% 0.06/0.44  quadruple(1,1,0,1) = 0.
% 0.06/0.44  quadruple(1,1,1,0) = 0.
% 0.06/0.44  quadruple(1,1,1,1) = 0.
% 0.06/0.44  
% 0.06/0.44   a_holds :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   a_stored :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   b_holds :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   b_stored :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   fresh_to_b :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   message :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   party_of_protocol :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44   t_holds :
% 0.06/0.44          0 1
% 0.06/0.44      -------
% 0.06/0.44          1 0
% 0.06/0.44  
% 0.06/0.44  % SZS output end FiniteModel
% 0.06/0.44  ------ process 41386 exit (max_models) ------
% 0.06/0.44  
% 0.06/0.44  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.06/0.44  
% 0.06/0.44  Exiting with 1 model.
% 0.06/0.44  
% 0.06/0.44  Process 41386 exit (max_models) Tue Feb  7 22:56:32 2017
% 0.06/0.44  The process finished Tue Feb  7 22:56:32 2017
% 0.06/0.44  Mace4 ended
%------------------------------------------------------------------------------