TSTP Solution File: SWV348-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 21:12:12 EDT 2022
% Result : Unsatisfiable 0.49s 1.08s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 16 02:01:05 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.49/1.08 ============================== Prover9 ===============================
% 0.49/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.49/1.08 Process 10682 was started by sandbox on n014.cluster.edu,
% 0.49/1.08 Thu Jun 16 02:01:06 2022
% 0.49/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10529_n014.cluster.edu".
% 0.49/1.08 ============================== end of head ===========================
% 0.49/1.08
% 0.49/1.08 ============================== INPUT =================================
% 0.49/1.08
% 0.49/1.08 % Reading from file /tmp/Prover9_10529_n014.cluster.edu
% 0.49/1.08
% 0.49/1.08 set(prolog_style_variables).
% 0.49/1.08 set(auto2).
% 0.49/1.08 % set(auto2) -> set(auto).
% 0.49/1.08 % set(auto) -> set(auto_inference).
% 0.49/1.08 % set(auto) -> set(auto_setup).
% 0.49/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.49/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.49/1.08 % set(auto) -> set(auto_limits).
% 0.49/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.49/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.49/1.08 % set(auto) -> set(auto_denials).
% 0.49/1.08 % set(auto) -> set(auto_process).
% 0.49/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.49/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.49/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.49/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.49/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.49/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.49/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.49/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.49/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.49/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.49/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.49/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.49/1.08 % set(auto2) -> assign(stats, some).
% 0.49/1.08 % set(auto2) -> clear(echo_input).
% 0.49/1.08 % set(auto2) -> set(quiet).
% 0.49/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.49/1.08 % set(auto2) -> clear(print_given).
% 0.49/1.08 assign(lrs_ticks,-1).
% 0.49/1.08 assign(sos_limit,10000).
% 0.49/1.08 assign(order,kbo).
% 0.49/1.08 set(lex_order_vars).
% 0.49/1.08 clear(print_given).
% 0.49/1.08
% 0.49/1.08 % formulas(sos). % not echoed (20 formulas)
% 0.49/1.08
% 0.49/1.08 ============================== end of input ==========================
% 0.49/1.08
% 0.49/1.08 % From the command line: assign(max_seconds, 300).
% 0.49/1.08
% 0.49/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.49/1.08
% 0.49/1.08 % Formulas that are not ordinary clauses:
% 0.49/1.08
% 0.49/1.08 ============================== end of process non-clausal formulas ===
% 0.49/1.08
% 0.49/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.49/1.08
% 0.49/1.08 ============================== PREDICATE ELIMINATION =================
% 0.49/1.08
% 0.49/1.08 ============================== end predicate elimination =============
% 0.49/1.08
% 0.49/1.08 Auto_denials: (non-Horn, no changes).
% 0.49/1.08
% 0.49/1.08 Term ordering decisions:
% 0.49/1.08 Function symbol KB weights: tc_Event_Oevent=1. tc_Message_Omsg=1. c_Message_Oagent_OSpy=1. c_Yahalom_Oyahalom=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. tc_Message_Oagent=1. v_evs4=1. v_B=1. v_Aa=1. v_K=1. v_NB=1. v_A=1. v_Ba=1. v_NA=1. v_NAa=1. v_X=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_Event_Oevent_ONotes=1. c_Public_OshrK=1. c_Message_Omsg_OAgent=1. c_Message_Oanalz=1. c_Message_Omsg_OKey=1. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_Message_Oparts=1. c_Event_Oevent_OSays=1.
% 0.49/1.08
% 0.49/1.08 ============================== end of process initial clauses ========
% 0.49/1.08
% 0.49/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.49/1.08
% 0.49/1.08 ============================== end of clauses for search =============
% 0.49/1.08
% 0.49/1.08 ============================== SEARCH ================================
% 0.49/1.08
% 0.49/1.08 % Starting search at 0.02 seconds.
% 0.49/1.08
% 0.49/1.08 ============================== PROOF =================================
% 0.49/1.08 % SZS status Unsatisfiable
% 0.49/1.08 % SZS output start Refutation
% 0.49/1.08
% 0.49/1.08 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.49/1.08 % Length of proof is 36.
% 0.49/1.08 % Level of proof is 9.
% 0.49/1.08 % Maximum clause weight is 63.000.
% 0.49/1.08 % Given clauses 180.
% 0.49/1.08
% 0.49/1.08 1 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.49/1.08 2 c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A) # label(cls_Message_Oparts__analz_0) # label(axiom). [assumption].
% 0.49/1.08 3 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_11) # label(negated_conjecture). [assumption].
% 0.49/1.08 4 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_9) # label(negated_conjecture). [assumption].
% 0.49/1.08 5 c_in(c_Event_Oevent_OGets(v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 0.49/1.08 6 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.49/1.08 7 -c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) # label(cls_conjecture_10) # label(negated_conjecture). [assumption].
% 0.49/1.08 8 -c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),A))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_8) # label(negated_conjecture). [assumption].
% 0.49/1.08 9 -c_in(A,B,tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oparts_OInj_0) # label(axiom). [assumption].
% 0.49/1.08 11 -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].
% 0.49/1.08 12 -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].
% 0.49/1.08 13 -c_in(A,c_Event_Obad,tc_Message_Oagent) | -c_in(B,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) # label(cls_Yahalom_OSpy__analz__shrK_1) # label(axiom). [assumption].
% 0.49/1.08 14 -c_in(A,c_Yahalom_Oyahalom,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,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) # label(cls_Yahalom_OGets__imp__analz__Spy__dest_0) # label(axiom). [assumption].
% 0.49/1.08 15 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(A),B),c_Message_Oanalz(C),tc_Message_Omsg) | -c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(C),tc_Message_Omsg) | c_in(B,c_Message_Oanalz(C),tc_Message_Omsg) # label(cls_Public_Oanalz__shrK__Decrypt_0) # label(axiom). [assumption].
% 0.49/1.08 16 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,F)))),V6)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(E,F))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Yahalom_OSays__Server__imp__YM2_0) # label(axiom). [assumption].
% 0.49/1.08 17 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(V7,V8,c_Message_Omsg_OMPair(V9,c_Message_Omsg_OCrypt(c_Public_OshrK(V10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V12),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(V6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | F = V12 # label(cls_Yahalom_OSays__unique__NB_0) # label(axiom). [assumption].
% 0.49/1.08 18 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OGets(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(F),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(V7,V8,c_Message_Omsg_OMPair(V9,c_Message_Omsg_OCrypt(c_Public_OshrK(V10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V12),V6))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(V6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | D = V10 # label(cls_Yahalom_OSays__unique__NB_2) # label(axiom). [assumption].
% 0.49/1.08 19 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Yahalom_OA__trusts__YM3_0) # label(axiom). [assumption].
% 0.49/1.08 20 -c_in(A,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(D),c_Message_Omsg_OMPair(E,F)))),c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OKey(D))))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OKey(D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(F,c_Message_Omsg_OKey(D)))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Yahalom_OSpy__not__see__encrypted__key_0) # label(axiom). [assumption].
% 0.49/1.08 23 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(11,b,7,a)].
% 0.49/1.08 25 -c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(13,b,1,a)].
% 0.49/1.08 26 c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(14,b,5,a),unit_del(a,1)].
% 0.49/1.08 28 -c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | v_NA = E. [resolve(17,c,4,a),flip(d),unit_del(a,1),unit_del(c,7)].
% 0.49/1.08 29 -c_in(c_Event_Oevent_OGets(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(D),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(E),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) | v_B = C. [resolve(18,c,4,a),flip(d),unit_del(a,1),unit_del(c,7)].
% 0.49/1.08 34 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(11,b,23,a)].
% 0.49/1.08 47 -c_in(c_Message_Omsg_OMPair(A,c_Message_Omsg_OMPair(B,c_Message_Omsg_OMPair(C,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [ur(11,b,34,a)].
% 0.49/1.08 55 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(26,a,12,a)].
% 0.49/1.08 102 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(55,a,15,a),unit_del(b,47)].
% 0.49/1.08 103 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg). [resolve(55,a,9,a),rewrite([2(19)])].
% 0.49/1.08 104 -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [ur(25,b,102,a)].
% 0.49/1.08 116 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(103,a,19,b),unit_del(a,1),unit_del(b,104)].
% 0.49/1.08 248 c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(116,a,20,b),unit_del(a,1),unit_del(b,3),unit_del(d,104)].
% 0.49/1.08 249 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent). [resolve(116,a,16,b),unit_del(a,1)].
% 0.49/1.08 251 v_Ba = v_B. [resolve(249,a,29,a),flip(a)].
% 0.49/1.08 252 v_NAa = v_NA. [resolve(249,a,28,a),flip(a)].
% 0.49/1.08 257 $F. [back_rewrite(248),rewrite([251(1),252(6)]),unit_del(a,6),unit_del(b,8)].
% 0.49/1.08
% 0.49/1.08 % SZS output end Refutation
% 0.49/1.08 ============================== end of proof ==========================
% 0.49/1.08
% 0.49/1.08 ============================== STATISTICS ============================
% 0.49/1.08
% 0.49/1.08 Given=180. Generated=275. Kept=256. proofs=1.
% 0.49/1.08 Usable=178. Sos=70. Demods=3. Limbo=6, Disabled=22. Hints=0.
% 0.49/1.08 Megabytes=0.41.
% 0.49/1.08 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.49/1.08
% 0.49/1.08 ============================== end of statistics =====================
% 0.49/1.08
% 0.49/1.08 ============================== end of search =========================
% 0.49/1.08
% 0.49/1.08 THEOREM PROVED
% 0.49/1.08 % SZS status Unsatisfiable
% 0.49/1.08
% 0.49/1.08 Exiting with 1 proof.
% 0.49/1.08
% 0.49/1.08 Process 10682 exit (max_proofs) Thu Jun 16 02:01:06 2022
% 0.49/1.08 Prover9 interrupted
%------------------------------------------------------------------------------