TSTP Solution File: SWV303-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV303-2 : 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 21:11:40 EDT 2022
% Result : Unsatisfiable 0.82s 1.08s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV303-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 12:02:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.82/1.08 ============================== Prover9 ===============================
% 0.82/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.08 Process 26062 was started by sandbox on n027.cluster.edu,
% 0.82/1.08 Wed Jun 15 12:02:05 2022
% 0.82/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25909_n027.cluster.edu".
% 0.82/1.08 ============================== end of head ===========================
% 0.82/1.08
% 0.82/1.08 ============================== INPUT =================================
% 0.82/1.08
% 0.82/1.08 % Reading from file /tmp/Prover9_25909_n027.cluster.edu
% 0.82/1.08
% 0.82/1.08 set(prolog_style_variables).
% 0.82/1.08 set(auto2).
% 0.82/1.08 % set(auto2) -> set(auto).
% 0.82/1.08 % set(auto) -> set(auto_inference).
% 0.82/1.08 % set(auto) -> set(auto_setup).
% 0.82/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.08 % set(auto) -> set(auto_limits).
% 0.82/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.08 % set(auto) -> set(auto_denials).
% 0.82/1.08 % set(auto) -> set(auto_process).
% 0.82/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.08 % set(auto2) -> assign(stats, some).
% 0.82/1.08 % set(auto2) -> clear(echo_input).
% 0.82/1.08 % set(auto2) -> set(quiet).
% 0.82/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.08 % set(auto2) -> clear(print_given).
% 0.82/1.08 assign(lrs_ticks,-1).
% 0.82/1.08 assign(sos_limit,10000).
% 0.82/1.08 assign(order,kbo).
% 0.82/1.08 set(lex_order_vars).
% 0.82/1.08 clear(print_given).
% 0.82/1.08
% 0.82/1.08 % formulas(sos). % not echoed (18 formulas)
% 0.82/1.08
% 0.82/1.08 ============================== end of input ==========================
% 0.82/1.08
% 0.82/1.08 % From the command line: assign(max_seconds, 300).
% 0.82/1.08
% 0.82/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.08
% 0.82/1.08 % Formulas that are not ordinary clauses:
% 0.82/1.08
% 0.82/1.08 ============================== end of process non-clausal formulas ===
% 0.82/1.08
% 0.82/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.08
% 0.82/1.08 ============================== PREDICATE ELIMINATION =================
% 0.82/1.08
% 0.82/1.08 ============================== end predicate elimination =============
% 0.82/1.08
% 0.82/1.08 Auto_denials: (non-Horn, no changes).
% 0.82/1.08
% 0.82/1.08 Term ordering decisions:
% 0.82/1.08 Function symbol KB weights: tc_Event_Oevent=1. v_Aa=1. v_Ba=1. tc_Message_Omsg=1. v_A=1. v_NA=1. v_NAa=1. c_Message_Oagent_OSpy=1. v_evs3=1. c_Message_Oagent_OServer=1. c_OtwayRees_Ootway=1. v_B=1. v_NBa=1. v_x=1. c_Event_Obad=1. tc_Message_Oagent=1. v_NB=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_List_Oset=1. c_Event_Oknows=1. c_Event_Oevent_OGets=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_ONonce=1. c_Public_OshrK=1. c_Message_Oparts=1. c_Message_Oanalz=1. tc_List_Olist=1. c_Event_Oevent_OSays=1. v_sko__usf=1.
% 0.82/1.08
% 0.82/1.08 ============================== end of process initial clauses ========
% 0.82/1.08
% 0.82/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.08
% 0.82/1.08 ============================== end of clauses for search =============
% 0.82/1.08
% 0.82/1.08 ============================== SEARCH ================================
% 0.82/1.08
% 0.82/1.08 % Starting search at 0.01 seconds.
% 0.82/1.08
% 0.82/1.08 ============================== PROOF =================================
% 0.82/1.08 % SZS status Unsatisfiable
% 0.82/1.08 % SZS output start Refutation
% 0.82/1.08
% 0.82/1.08 % Proof 1 at 0.11 (+ 0.00) seconds.
% 0.82/1.08 % Length of proof is 103.
% 0.82/1.08 % Level of proof is 25.
% 0.82/1.08 % Maximum clause weight is 80.000.
% 0.82/1.08 % Given clauses 155.
% 0.82/1.08
% 0.82/1.08 1 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.82/1.08 2 v_B = v_Ba | v_B = v_Aa # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 0.82/1.08 3 v_B = v_Ba | c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,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_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_19) # label(negated_conjecture). [assumption].
% 0.82/1.08 4 c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,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_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_B = v_Aa # label(cls_conjecture_8) # label(negated_conjecture). [assumption].
% 0.82/1.08 5 c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,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_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | v_NB = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_13) # label(negated_conjecture). [assumption].
% 0.82/1.08 6 c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,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_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) | c_Message_Omsg_ONonce(v_NAa) = v_NB. [copy(5),flip(b)].
% 0.82/1.08 7 v_NB = c_Message_Omsg_ONonce(v_NBa) | c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,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_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_20) # label(negated_conjecture). [assumption].
% 0.82/1.08 8 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,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_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent). [copy(7),flip(a)].
% 0.82/1.08 9 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_NBa),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].
% 0.82/1.08 10 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.82/1.08 11 -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].
% 0.82/1.08 12 v_A != v_Aa | v_NA != c_Message_Omsg_ONonce(v_NAa) | v_B = v_Aa # label(cls_conjecture_30) # label(negated_conjecture). [assumption].
% 0.82/1.08 13 v_A != v_Aa | c_Message_Omsg_ONonce(v_NAa) != v_NA | v_B = v_Aa. [copy(12),flip(b)].
% 0.82/1.08 14 v_A != v_Aa | v_NA != c_Message_Omsg_ONonce(v_NAa) | v_NB = c_Message_Omsg_ONonce(v_NAa) # label(cls_conjecture_31) # label(negated_conjecture). [assumption].
% 0.82/1.08 15 v_A != v_Aa | c_Message_Omsg_ONonce(v_NAa) != v_NA | c_Message_Omsg_ONonce(v_NAa) = v_NB. [copy(14),flip(b),flip(c)].
% 0.82/1.08 16 -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].
% 0.82/1.08 17 -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].
% 0.82/1.08 18 -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].
% 0.82/1.08 19 -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].
% 0.82/1.08 20 -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].
% 0.82/1.08 21 -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(F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V6),c_Message_Omsg_OAgent(B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) | C = F # label(cls_OtwayRees_Ounique__NB__dest_0) # label(axiom). [assumption].
% 0.82/1.08 22 -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(F,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V6),c_Message_Omsg_OAgent(B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) | E = V6 # label(cls_OtwayRees_Ounique__NB__dest_1) # label(axiom). [assumption].
% 0.82/1.08 23 v_B = v_Aa | -c_in(v_Ba,c_Event_Obad,tc_Message_Oagent). [para(2(a,1),10(a,1))].
% 0.82/1.08 24 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_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_Message_Omsg_ONonce(v_NBa) = v_NB. [resolve(18,a,8,b)].
% 0.82/1.08 25 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_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_Message_Omsg_ONonce(v_NAa) = v_NB. [resolve(18,a,6,a)].
% 0.82/1.08 26 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_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_B = v_Aa. [resolve(18,a,4,a)].
% 0.82/1.08 27 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_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | v_B = v_Ba. [resolve(18,a,3,b)].
% 0.82/1.08 28 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_NBa),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_NBa),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(19,b,9,a),unit_del(a,1)].
% 0.82/1.08 30 v_B = v_Aa | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(26,a,16,a)].
% 0.82/1.08 34 v_B = v_Aa | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(30,b,16,a)].
% 0.82/1.08 37 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(24,a,16,a)].
% 0.82/1.08 42 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(25,a,16,a)].
% 0.82/1.08 46 v_B = v_Aa | c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(34,b,16,a)].
% 0.82/1.08 50 v_B = v_Ba | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(27,a,16,a)].
% 0.82/1.08 54 v_B = v_Aa | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(46,b,16,a)].
% 0.82/1.08 56 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_NBa),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(28,a,18,a)].
% 0.82/1.08 58 v_B = v_Aa | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),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). [resolve(54,b,11,a)].
% 0.82/1.08 59 v_B = v_Aa | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_A = B. [resolve(58,b,22,c),flip(e),unit_del(b,1)].
% 0.82/1.08 60 v_B = v_Aa | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_NA = A. [resolve(58,b,21,c),flip(e),unit_del(b,1)].
% 0.82/1.08 63 v_B = v_Ba | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(50,b,16,a)].
% 0.82/1.08 67 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(37,b,16,a)].
% 0.82/1.08 71 v_B = v_Ba | c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(63,b,16,a)].
% 0.82/1.08 75 v_B = v_Ba | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(71,b,16,a)].
% 0.82/1.08 79 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(42,b,16,a)].
% 0.82/1.08 82 v_B = v_Ba | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(75,b,11,a)].
% 0.82/1.08 85 v_B = v_Ba | -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(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(82,b,20,b),unit_del(b,1)].
% 0.82/1.08 87 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(67,b,16,a)].
% 0.82/1.08 91 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(87,b,16,a)].
% 0.82/1.08 95 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_NBa),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(56,a,16,a)].
% 0.82/1.08 98 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(91,b,11,a)].
% 0.82/1.08 101 c_Message_Omsg_ONonce(v_NBa) = v_NB | -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(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(98,b,20,b),unit_del(b,1)].
% 0.82/1.08 103 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(79,b,16,a)].
% 0.82/1.08 107 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(103,b,16,a)].
% 0.82/1.08 110 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),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). [resolve(107,b,11,a)].
% 0.82/1.08 111 c_Message_Omsg_ONonce(v_NAa) = v_NB | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_A = B. [resolve(110,b,22,c),flip(e),unit_del(b,1)].
% 0.82/1.08 112 c_Message_Omsg_ONonce(v_NAa) = v_NB | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_NA = A. [resolve(110,b,21,c),flip(e),unit_del(b,1)].
% 0.82/1.08 115 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_NBa),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(95,a,16,a)].
% 0.82/1.08 119 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_NBa),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(115,a,16,a)].
% 0.82/1.08 122 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(119,a,17,a)].
% 0.82/1.08 123 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_NBa),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(119,a,16,a)].
% 0.82/1.08 125 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(122,a,11,a)].
% 0.82/1.08 126 c_Message_Omsg_ONonce(v_NBa) = v_NB | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(125,a,101,b)].
% 0.82/1.09 127 v_B = v_Ba | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(125,a,85,b)].
% 0.82/1.09 128 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [resolve(125,a,20,c),unit_del(a,1)].
% 0.82/1.09 129 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_NBa),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(123,a,11,a)].
% 0.82/1.09 130 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | c_Message_Omsg_ONonce(v_NAa) = v_NA. [resolve(129,a,112,b),flip(c)].
% 0.82/1.09 131 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_A = v_Aa. [resolve(129,a,111,b)].
% 0.82/1.09 132 v_B = v_Aa | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | c_Message_Omsg_ONonce(v_NAa) = v_NA. [resolve(129,a,60,b),flip(c)].
% 0.82/1.09 133 v_B = v_Aa | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | v_A = v_Aa. [resolve(129,a,59,b)].
% 0.82/1.09 136 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent). [resolve(129,a,20,b),unit_del(a,1)].
% 0.82/1.09 137 v_B = v_Aa | v_A = v_Aa. [resolve(133,b,23,b),merge(c)].
% 0.82/1.09 138 v_A = v_Aa | -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [para(137(a,1),10(a,1))].
% 0.82/1.09 139 v_A = v_Aa | v_B = v_Ba. [resolve(138,b,127,b)].
% 0.82/1.09 141 v_A = v_Aa | -c_in(v_Ba,c_Event_Obad,tc_Message_Oagent). [para(139(b,1),10(a,1))].
% 0.82/1.09 142 v_A = v_Aa | v_Ba = v_Aa. [para(139(b,1),137(a,1)),merge(c)].
% 0.82/1.09 231 c_Message_Omsg_ONonce(v_NAa) = v_NB | v_A = v_Aa. [resolve(131,b,141,b),merge(c)].
% 0.82/1.09 259 v_A = v_Aa | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NB,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(231(a,1),125(a,1,2,1))].
% 0.82/1.09 267 v_B = v_Aa | c_Message_Omsg_ONonce(v_NAa) = v_NA. [resolve(132,b,23,b),merge(c)].
% 0.82/1.09 270 v_B = v_Aa | v_A != v_Aa. [resolve(267,b,13,b),merge(c)].
% 0.82/1.09 314 v_B = v_Aa | v_Ba = v_Aa. [resolve(270,b,142,a)].
% 0.82/1.09 315 v_Ba = v_Aa | -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [para(314(a,1),10(a,1))].
% 0.82/1.09 316 v_Ba = v_Aa | v_B = v_Ba. [resolve(315,b,127,b)].
% 0.82/1.09 320 v_Ba = v_Aa. [para(316(b,1),314(a,1)),merge(b),merge(c)].
% 0.82/1.09 358 v_A = v_Aa | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Aa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(259),rewrite([320(9)])].
% 0.82/1.09 396 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [back_rewrite(136),rewrite([320(1),320(5),320(17)])].
% 0.82/1.09 399 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) | c_Message_Omsg_ONonce(v_NAa) = v_NA. [back_rewrite(130),rewrite([320(5)])].
% 0.82/1.09 400 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_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(129),rewrite([320(1),320(9)])].
% 0.82/1.09 402 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_Aa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(125),rewrite([320(7)])].
% 0.82/1.09 451 v_B = v_Aa. [back_rewrite(2),rewrite([320(2)]),merge(b)].
% 0.82/1.09 452 -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [back_rewrite(10),rewrite([451(1)])].
% 0.82/1.09 455 c_Message_Omsg_ONonce(v_NAa) = v_NB | c_Message_Omsg_ONonce(v_NAa) = v_NA. [back_unit_del(399),unit_del(b,452)].
% 0.82/1.09 458 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_unit_del(396),unit_del(b,452)].
% 0.82/1.09 460 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_unit_del(128),unit_del(b,452)].
% 0.82/1.09 461 c_Message_Omsg_ONonce(v_NBa) = v_NB. [back_unit_del(126),unit_del(b,452)].
% 0.82/1.09 462 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(458),rewrite([461(4)])].
% 0.82/1.09 489 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(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(400),rewrite([461(6)])].
% 0.82/1.09 519 v_A = v_Aa. [back_unit_del(358),unit_del(b,462)].
% 0.82/1.09 531 c_Message_Omsg_ONonce(v_NAa) != v_NA | c_Message_Omsg_ONonce(v_NAa) = v_NB. [back_rewrite(15),rewrite([519(1)]),xx(a)].
% 0.82/1.09 539 c_Message_Omsg_ONonce(v_NAa) = v_NA. [para(455(a,1),402(a,1,2,1)),unit_del(b,462)].
% 0.82/1.09 540 v_NB = v_NA. [back_rewrite(531),rewrite([539(2),539(5)]),flip(b),xx(a)].
% 0.82/1.09 541 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(489),rewrite([539(4),540(4)])].
% 0.82/1.09 554 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),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_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [back_rewrite(460),rewrite([539(4)])].
% 0.82/1.09 555 $F. [resolve(554,a,541,a)].
% 0.82/1.09
% 0.82/1.09 % SZS output end Refutation
% 0.82/1.09 ============================== end of proof ==========================
% 0.82/1.09
% 0.82/1.09 ============================== STATISTICS ============================
% 0.82/1.09
% 0.82/1.09 Given=155. Generated=710. Kept=550. proofs=1.
% 0.82/1.09 Usable=26. Sos=5. Demods=6. Limbo=15, Disabled=521. Hints=0.
% 0.82/1.09 Megabytes=0.91.
% 0.82/1.09 User_CPU=0.11, System_CPU=0.00, Wall_clock=0.
% 0.82/1.09
% 0.82/1.09 ============================== end of statistics =====================
% 0.82/1.09
% 0.82/1.09 ============================== end of search =========================
% 0.82/1.09
% 0.82/1.09 THEOREM PROVED
% 0.82/1.09 % SZS status Unsatisfiable
% 0.82/1.09
% 0.82/1.09 Exiting with 1 proof.
% 0.82/1.09
% 0.82/1.09 Process 26062 exit (max_proofs) Wed Jun 15 12:02:05 2022
% 0.82/1.09 Prover9 interrupted
%------------------------------------------------------------------------------