TSTP Solution File: SWV010+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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  : 600s
% DateTime : Wed Jul 20 21:10:12 EDT 2022

% Result   : Unknown 0.43s 0.99s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 19:26:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.98  ============================== Prover9 ===============================
% 0.43/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.98  Process 31536 was started by sandbox2 on n024.cluster.edu,
% 0.43/0.98  Tue Jun 14 19:26:49 2022
% 0.43/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31383_n024.cluster.edu".
% 0.43/0.98  ============================== end of head ===========================
% 0.43/0.98  
% 0.43/0.98  ============================== INPUT =================================
% 0.43/0.98  
% 0.43/0.98  % Reading from file /tmp/Prover9_31383_n024.cluster.edu
% 0.43/0.98  
% 0.43/0.98  set(prolog_style_variables).
% 0.43/0.98  set(auto2).
% 0.43/0.98      % set(auto2) -> set(auto).
% 0.43/0.98      % set(auto) -> set(auto_inference).
% 0.43/0.98      % set(auto) -> set(auto_setup).
% 0.43/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.98      % set(auto) -> set(auto_limits).
% 0.43/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.98      % set(auto) -> set(auto_denials).
% 0.43/0.98      % set(auto) -> set(auto_process).
% 0.43/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.98      % set(auto2) -> assign(stats, some).
% 0.43/0.98      % set(auto2) -> clear(echo_input).
% 0.43/0.98      % set(auto2) -> set(quiet).
% 0.43/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.98      % set(auto2) -> clear(print_given).
% 0.43/0.98  assign(lrs_ticks,-1).
% 0.43/0.98  assign(sos_limit,10000).
% 0.43/0.98  assign(order,kbo).
% 0.43/0.98  set(lex_order_vars).
% 0.43/0.98  clear(print_given).
% 0.43/0.98  
% 0.43/0.98  % formulas(sos).  % not echoed (14 formulas)
% 0.43/0.98  
% 0.43/0.98  ============================== end of input ==========================
% 0.43/0.98  
% 0.43/0.98  % From the command line: assign(max_seconds, 300).
% 0.43/0.98  
% 0.43/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.98  
% 0.43/0.98  % Formulas that are not ordinary clauses:
% 0.43/0.98  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].
% 0.43/0.98  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].
% 0.43/0.98  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].
% 0.43/0.98  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].
% 0.43/0.98  
% 0.43/0.98  ============================== end of process non-clausal formulas ===
% 0.43/0.98  
% 0.43/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.98  
% 0.43/0.98  ============================== PREDICATE ELIMINATION =================
% 0.43/0.98  5 -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).  [clausify(2)].
% 0.43/0.98  6 fresh_to_b(an_a_nonce) # label(nonce_a_is_fresh_to_b) # label(axiom).  [assumption].
% 0.43/0.98  Derived: -message(sent(A,b,pair(A,an_a_nonce))) | b_stored(pair(A,an_a_nonce)).  [resolve(5,b,6,a)].
% 0.43/0.98  7 -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).  [clausify(2)].
% 0.43/0.98  Derived: -message(sent(A,b,pair(A,an_a_nonce))) | 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)))).  [resolve(7,b,6,a)].
% 0.43/0.99  8 -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).  [clausify(1)].
% 0.43/0.99  9 a_stored(pair(b,an_a_nonce)) # label(a_stored_message_i) # label(axiom).  [assumption].
% 0.43/0.99  Derived: -message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,A,B),at),C,D))) | message(sent(a,b,pair(C,encrypt(D,A)))).  [resolve(8,b,9,a)].
% 0.43/0.99  
% 0.43/0.99  ============================== end predicate elimination =============
% 0.43/0.99  
% 0.43/0.99  Auto_denials:  (no changes).
% 0.43/0.99  
% 0.43/0.99  Term ordering decisions:
% 0.43/0.99  Function symbol KB weights:  b=1. an_a_nonce=1. a=1. t=1. at=1. bt=1. encrypt=1. key=1. pair=1. generate_key=1. generate_b_nonce=1. generate_expiration_time=1. sent=1. triple=1. quadruple=1.
% 0.43/0.99  
% 0.43/0.99  ============================== end of process initial clauses ========
% 0.43/0.99  
% 0.43/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of clauses for search =============
% 0.43/0.99  
% 0.43/0.99  ============================== SEARCH ================================
% 0.43/0.99  
% 0.43/0.99  % Starting search at 0.01 seconds.
% 0.43/0.99  
% 0.43/0.99  ============================== STATISTICS ============================
% 0.43/0.99  
% 0.43/0.99  Given=9. Generated=9. Kept=9. proofs=0.
% 0.43/0.99  Usable=9. Sos=0. Demods=0. Limbo=0, Disabled=19. Hints=0.
% 0.43/0.99  Megabytes=0.08.
% 0.43/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.99  
% 0.43/0.99  ============================== end of statistics =====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of search =========================
% 0.43/0.99  
% 0.43/0.99  SEARCH FAILED
% 0.43/0.99  
% 0.43/0.99  Exiting with failure.
% 0.43/0.99  
% 0.43/0.99  Process 31536 exit (sos_empty) Tue Jun 14 19:26:49 2022
% 0.43/0.99  Prover9 interrupted
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