TSTP Solution File: SWV296-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV296-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 21:11:37 EDT 2022

% Result   : Unsatisfiable 0.89s 1.17s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV296-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n027.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  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 15:59:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.89/1.17  ============================== Prover9 ===============================
% 0.89/1.17  Prover9 (32) version 2009-11A, November 2009.
% 0.89/1.17  Process 12315 was started by sandbox2 on n027.cluster.edu,
% 0.89/1.17  Tue Jun 14 15:59:19 2022
% 0.89/1.17  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12162_n027.cluster.edu".
% 0.89/1.17  ============================== end of head ===========================
% 0.89/1.17  
% 0.89/1.17  ============================== INPUT =================================
% 0.89/1.17  
% 0.89/1.17  % Reading from file /tmp/Prover9_12162_n027.cluster.edu
% 0.89/1.17  
% 0.89/1.17  set(prolog_style_variables).
% 0.89/1.17  set(auto2).
% 0.89/1.17      % set(auto2) -> set(auto).
% 0.89/1.17      % set(auto) -> set(auto_inference).
% 0.89/1.17      % set(auto) -> set(auto_setup).
% 0.89/1.17      % set(auto_setup) -> set(predicate_elim).
% 0.89/1.17      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.89/1.17      % set(auto) -> set(auto_limits).
% 0.89/1.17      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.89/1.17      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.89/1.17      % set(auto) -> set(auto_denials).
% 0.89/1.17      % set(auto) -> set(auto_process).
% 0.89/1.17      % set(auto2) -> assign(new_constants, 1).
% 0.89/1.17      % set(auto2) -> assign(fold_denial_max, 3).
% 0.89/1.17      % set(auto2) -> assign(max_weight, "200.000").
% 0.89/1.17      % set(auto2) -> assign(max_hours, 1).
% 0.89/1.17      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.89/1.17      % set(auto2) -> assign(max_seconds, 0).
% 0.89/1.17      % set(auto2) -> assign(max_minutes, 5).
% 0.89/1.17      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.89/1.17      % set(auto2) -> set(sort_initial_sos).
% 0.89/1.17      % set(auto2) -> assign(sos_limit, -1).
% 0.89/1.17      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.89/1.17      % set(auto2) -> assign(max_megs, 400).
% 0.89/1.17      % set(auto2) -> assign(stats, some).
% 0.89/1.17      % set(auto2) -> clear(echo_input).
% 0.89/1.17      % set(auto2) -> set(quiet).
% 0.89/1.17      % set(auto2) -> clear(print_initial_clauses).
% 0.89/1.17      % set(auto2) -> clear(print_given).
% 0.89/1.17  assign(lrs_ticks,-1).
% 0.89/1.17  assign(sos_limit,10000).
% 0.89/1.17  assign(order,kbo).
% 0.89/1.17  set(lex_order_vars).
% 0.89/1.17  clear(print_given).
% 0.89/1.17  
% 0.89/1.17  % formulas(sos).  % not echoed (24 formulas)
% 0.89/1.17  
% 0.89/1.17  ============================== end of input ==========================
% 0.89/1.17  
% 0.89/1.17  % From the command line: assign(max_seconds, 300).
% 0.89/1.17  
% 0.89/1.17  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.89/1.17  
% 0.89/1.17  % Formulas that are not ordinary clauses:
% 0.89/1.17  
% 0.89/1.17  ============================== end of process non-clausal formulas ===
% 0.89/1.17  
% 0.89/1.17  ============================== PROCESS INITIAL CLAUSES ===============
% 0.89/1.17  
% 0.89/1.17  ============================== PREDICATE ELIMINATION =================
% 0.89/1.17  
% 0.89/1.17  ============================== end predicate elimination =============
% 0.89/1.17  
% 0.89/1.17  Auto_denials:  (non-Horn, no changes).
% 0.89/1.17  
% 0.89/1.17  Term ordering decisions:
% 0.89/1.17  Function symbol KB weights:  tc_Message_Omsg=1. v_A=1. v_NA=1. tc_Event_Oevent=1. v_K=1. c_Message_Oagent_OSpy=1. v_B=1. v_evs3=1. v_Ba=1. v_Aa=1. v_NB=1. v_NAa=1. c_OtwayRees_Ootway=1. v_KAB=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. tc_Message_Oagent=1. v_x=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Event_Oevent_OGets=1. c_Message_Omsg_OAgent=1. c_Public_OshrK=1. c_Message_Omsg_ONonce=1. c_Message_Oparts=1. c_Message_Omsg_OKey=1. c_Message_Oanalz=1. tc_List_Olist=1. c_Event_Oused=1. c_Event_Oevent_OSays=1. v_sko__usf=1.
% 0.89/1.17  
% 0.89/1.17  ============================== end of process initial clauses ========
% 0.89/1.17  
% 0.89/1.17  ============================== CLAUSES FOR SEARCH ====================
% 0.89/1.17  
% 0.89/1.17  ============================== end of clauses for search =============
% 0.89/1.17  
% 0.89/1.17  ============================== SEARCH ================================
% 0.89/1.17  
% 0.89/1.17  % Starting search at 0.02 seconds.
% 0.89/1.17  
% 0.89/1.17  ============================== PROOF =================================
% 0.89/1.17  % SZS status Unsatisfiable
% 0.89/1.17  % SZS output start Refutation
% 0.89/1.17  
% 0.89/1.17  % Proof 1 at 0.15 (+ 0.00) seconds.
% 0.89/1.17  % Length of proof is 91.
% 0.89/1.17  % Level of proof is 20.
% 0.89/1.17  % Maximum clause weight is 80.000.
% 0.89/1.17  % Given clauses 327.
% 0.89/1.17  
% 0.89/1.17  1 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture).  [assumption].
% 0.89/1.17  2 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_K = v_KAB # label(cls_conjecture_5) # label(negated_conjecture).  [assumption].
% 0.89/1.17  3 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_KAB = v_K.  [copy(2),flip(b)].
% 0.89/1.17  4 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_A = v_Ba | v_A = v_Aa # label(cls_conjecture_7) # label(negated_conjecture).  [assumption].
% 0.89/1.17  5 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_Ba = v_A | v_Aa = v_A.  [copy(4),flip(b),flip(c)].
% 0.89/1.17  6 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_A = v_Ba | v_NA = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_15) # label(negated_conjecture).  [assumption].
% 0.89/1.17  7 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_Ba = v_A | c_Message_Omsg_ONonce(v_NAa) = v_NA.  [copy(6),flip(b),flip(c)].
% 0.89/1.17  8 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_NA = c_Message_Omsg_ONonce(v_NB) | v_A = v_Aa # label(cls_conjecture_9) # label(negated_conjecture).  [assumption].
% 0.89/1.17  9 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_Message_Omsg_ONonce(v_NB) = v_NA | v_Aa = v_A.  [copy(8),flip(b),flip(c)].
% 0.89/1.17  10 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_NA = c_Message_Omsg_ONonce(v_NB) | v_NA = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_17) # label(negated_conjecture).  [assumption].
% 0.89/1.17  11 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_Message_Omsg_ONonce(v_NB) = v_NA | c_Message_Omsg_ONonce(v_NAa) = v_NA.  [copy(10),flip(b),flip(c)].
% 0.89/1.17  12 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture).  [assumption].
% 0.89/1.17  13 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_3) # label(negated_conjecture).  [assumption].
% 0.89/1.17  14 -c_in(v_A,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.89/1.17  15 -c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture).  [assumption].
% 0.89/1.17  16 -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oanalz__into__parts__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  17 -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) | c_in(A,c_Event_Oused(B),tc_Message_Omsg) # label(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) # label(axiom).  [assumption].
% 0.89/1.17  18 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Message_OMPair__analz_0) # label(axiom).  [assumption].
% 0.89/1.17  19 -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Message_OMPair__analz_1) # label(axiom).  [assumption].
% 0.89/1.17  20 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg) | c_in(B,c_Message_Oparts(C),tc_Message_Omsg) # label(cls_Message_Oparts_OBody__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  21 -c_in(c_Message_Omsg_OMPair(A,B),c_Event_Oused(C),tc_Message_Omsg) | c_in(B,c_Event_Oused(C),tc_Message_Omsg) # label(cls_Public_OMPair__used_0) # label(axiom).  [assumption].
% 0.89/1.17  22 -c_in(c_Event_Oevent_OSays(A,B,C),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) | c_in(C,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,D)),tc_Message_Omsg) # label(cls_Event_OSays__imp__analz__Spy__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  23 A != c_Message_Omsg_ONonce(v_NB) | v_K != v_KAB | v_A != v_Aa | v_NA != c_Message_Omsg_ONonce(v_NAa) | v_A = v_Ba | B != c_Message_Omsg_ONonce(v_NB) | v_B != v_Ba # label(cls_conjecture_68) # label(negated_conjecture).  [assumption].
% 0.89/1.17  24 v_KAB != v_K | v_Aa != v_A | c_Message_Omsg_ONonce(v_NAa) != v_NA | v_Ba = v_A | v_Ba != v_B.  [copy(23),flip(a),flip(b),flip(c),flip(d),flip(e),flip(f),flip(g),xx(a),xx(f)].
% 0.89/1.17  25 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OGets(B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(v_sko__usf(B,C,A),B,C),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_OtwayRees_OGets__imp__Says__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  26 A != c_Message_Omsg_ONonce(v_NB) | v_K != v_KAB | v_A != v_Aa | v_NA != c_Message_Omsg_ONonce(v_NAa) | v_NA = c_Message_Omsg_ONonce(v_NB) | B != c_Message_Omsg_ONonce(v_NB) | v_B != v_Ba # label(cls_conjecture_69) # label(negated_conjecture).  [assumption].
% 0.89/1.17  27 v_KAB != v_K | v_Aa != v_A | c_Message_Omsg_ONonce(v_NAa) != v_NA | c_Message_Omsg_ONonce(v_NB) = v_NA | v_Ba != v_B.  [copy(26),flip(a),flip(b),flip(c),flip(d),flip(e),flip(f),flip(g),xx(a),xx(f)].
% 0.89/1.17  28 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_K = v_KAB # label(cls_conjecture_6) # label(negated_conjecture).  [assumption].
% 0.89/1.17  29 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_KAB = v_K.  [copy(28),flip(b)].
% 0.89/1.17  30 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OAgent(B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) # label(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  31 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(C,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(E)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) | E = D # label(cls_OtwayRees_Ounique__NA__dest_0) # label(axiom).  [assumption].
% 0.89/1.17  32 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_37) # label(negated_conjecture).  [assumption].
% 0.89/1.17  33 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [copy(32),unit_del(c,12)].
% 0.89/1.17  43 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_Ba = v_A | v_Aa = v_A.  [resolve(20,a,5,a)].
% 0.89/1.17  45 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_KAB)),c_Event_Oused(v_evs3),tc_Message_Omsg).  [ur(21,b,15,a)].
% 0.89/1.17  46 c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(22,a,12,a)].
% 0.89/1.17  47 c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),v_evs3),c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent).  [resolve(25,b,13,a),unit_del(a,1)].
% 0.89/1.17  51 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_Ba = v_A | v_Aa = v_A.  [resolve(33,b,5,a)].
% 0.89/1.17  52 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_KAB = v_K.  [resolve(33,b,3,a)].
% 0.89/1.17  56 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OKey(v_KAB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(17,b,45,a)].
% 0.89/1.17  66 -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OKey(v_KAB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(20,b,56,a)].
% 0.89/1.17  68 v_Ba = v_A | v_Aa = v_A | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg).  [resolve(43,a,17,a)].
% 0.89/1.17  69 v_Ba = v_A | v_Aa = v_A | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg).  [resolve(68,c,21,a)].
% 0.89/1.17  94 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(46,a,18,a)].
% 0.89/1.17  106 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(94,a,18,a)].
% 0.89/1.17  108 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(47,a,22,a)].
% 0.89/1.17  119 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(106,a,18,a)].
% 0.89/1.17  156 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(119,a,16,a)].
% 0.89/1.17  157 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_B = A.  [resolve(156,a,31,c),unit_del(a,1),unit_del(c,14)].
% 0.89/1.17  158 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(156,a,30,c),unit_del(a,1),unit_del(c,14)].
% 0.89/1.17  179 v_Ba = v_A | v_Aa = v_A | v_KAB = v_K.  [resolve(51,a,29,a)].
% 0.89/1.17  188 v_Ba = v_A | v_Aa = v_A | -c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg).  [para(179(c,1),15(a,1,1))].
% 0.89/1.17  232 v_Ba = v_A | v_Aa = v_A.  [resolve(188,c,69,c),merge(c),merge(d)].
% 0.89/1.17  246 v_KAB = v_K.  [resolve(52,a,29,a),merge(b)].
% 0.89/1.17  308 -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(66),rewrite([246(1)])].
% 0.89/1.17  322 v_Aa != v_A | c_Message_Omsg_ONonce(v_NAa) != v_NA | c_Message_Omsg_ONonce(v_NB) = v_NA | v_Ba != v_B.  [back_rewrite(27),rewrite([246(1)]),xx(a)].
% 0.89/1.17  323 v_Aa != v_A | c_Message_Omsg_ONonce(v_NAa) != v_NA | v_Ba = v_A | v_Ba != v_B.  [back_rewrite(24),rewrite([246(1)]),xx(a)].
% 0.89/1.17  325 c_Message_Omsg_ONonce(v_NB) = v_NA | c_Message_Omsg_ONonce(v_NAa) = v_NA.  [back_unit_del(11),unit_del(a,308)].
% 0.89/1.17  326 c_Message_Omsg_ONonce(v_NB) = v_NA | v_Aa = v_A.  [back_unit_del(9),unit_del(a,308)].
% 0.89/1.17  327 v_Ba = v_A | c_Message_Omsg_ONonce(v_NAa) = v_NA.  [back_unit_del(7),unit_del(a,308)].
% 0.89/1.17  350 v_Aa != v_A | v_Ba = v_A | v_Ba != v_B.  [resolve(323,b,327,b),merge(d)].
% 0.89/1.17  351 v_Ba = v_A | v_Ba != v_B.  [resolve(350,a,232,b),merge(c)].
% 0.89/1.17  352 v_Aa != v_A | c_Message_Omsg_ONonce(v_NB) = v_NA | v_Ba != v_B.  [resolve(322,b,325,b),merge(d)].
% 0.89/1.17  355 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(108,a,18,a)].
% 0.89/1.17  371 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [ur(16,b,158,a)].
% 0.89/1.17  373 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(355,a,18,a)].
% 0.89/1.17  394 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(373,a,18,a)].
% 0.89/1.17  412 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(394,a,19,a)].
% 0.89/1.17  413 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(394,a,18,a)].
% 0.89/1.17  423 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(412,a,16,a)].
% 0.89/1.17  434 v_Ba = v_A | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [para(327(b,1),423(a,1,2,1))].
% 0.89/1.17  435 c_Message_Omsg_ONonce(v_NB) = v_NA | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [para(325(b,1),423(a,1,2,1))].
% 0.89/1.17  550 v_Ba = v_A | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [para(232(b,1),434(b,1,1,1)),merge(b)].
% 0.89/1.17  570 v_Ba = v_A | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [para(232(b,1),550(b,1,2,2,1,1)),merge(b)].
% 0.89/1.17  571 v_Ba = v_A | v_Ba = v_B.  [resolve(570,b,157,a),flip(b)].
% 0.89/1.17  589 v_Ba = v_A.  [resolve(571,b,351,b),merge(b)].
% 0.89/1.17  595 c_Message_Omsg_ONonce(v_NB) = v_NA | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(435),rewrite([589(10)])].
% 0.89/1.17  605 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(413),rewrite([589(1),589(9)])].
% 0.89/1.17  623 v_Aa != v_A | c_Message_Omsg_ONonce(v_NB) = v_NA | v_B != v_A.  [back_rewrite(352),rewrite([589(8)]),flip(c)].
% 0.89/1.17  654 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(605,a,16,a)].
% 0.89/1.17  655 v_Aa = v_A.  [para(326(a,1),605(a,1,2,2,1)),unit_del(b,371)].
% 0.89/1.17  657 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(654),rewrite([655(7)])].
% 0.89/1.17  671 c_Message_Omsg_ONonce(v_NB) = v_NA | v_B != v_A.  [back_rewrite(623),rewrite([655(1)]),xx(a)].
% 0.89/1.17  695 c_Message_Omsg_ONonce(v_NB) = v_NA | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(595),rewrite([655(5),655(8)])].
% 0.89/1.17  727 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [resolve(657,a,30,b),unit_del(a,1),unit_del(c,14)].
% 0.89/1.17  753 c_Message_Omsg_ONonce(v_NB) = v_NA | v_B = v_A.  [resolve(695,b,157,a)].
% 0.89/1.17  764 v_B = v_A.  [para(753(a,1),657(a,1,2,2,1)),unit_del(b,158)].
% 0.89/1.17  765 c_Message_Omsg_ONonce(v_NB) = v_NA.  [back_rewrite(671),rewrite([764(5)]),xx(b)].
% 0.89/1.17  773 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(156),rewrite([764(6)])].
% 0.89/1.17  785 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg).  [back_rewrite(727),rewrite([765(4)])].
% 0.89/1.17  786 $F.  [resolve(785,a,773,a)].
% 0.89/1.17  
% 0.89/1.17  % SZS output end Refutation
% 0.89/1.17  ============================== end of proof ==========================
% 0.89/1.17  
% 0.89/1.17  ============================== STATISTICS ============================
% 0.89/1.17  
% 0.89/1.17  Given=327. Generated=1251. Kept=776. proofs=1.
% 0.89/1.17  Usable=139. Sos=104. Demods=5. Limbo=20, Disabled=536. Hints=0.
% 0.89/1.17  Megabytes=1.30.
% 0.89/1.17  User_CPU=0.15, System_CPU=0.00, Wall_clock=0.
% 0.89/1.17  
% 0.89/1.17  ============================== end of statistics =====================
% 0.89/1.17  
% 0.89/1.17  ============================== end of search =========================
% 0.89/1.17  
% 0.89/1.17  THEOREM PROVED
% 0.89/1.17  % SZS status Unsatisfiable
% 0.89/1.17  
% 0.89/1.17  Exiting with 1 proof.
% 0.89/1.17  
% 0.89/1.17  Process 12315 exit (max_proofs) Tue Jun 14 15:59:19 2022
% 0.89/1.17  Prover9 interrupted
%------------------------------------------------------------------------------